e c, given that l(c) = 0.
-15, -1, 1, 15
Factor 114 + 13*a + 252 + 4*a**2 + 371*a + 14.
4*(a + 1)*(a + 95)
Let y be 0 - 171/(-1) - 1. Determine s so that -78*s**3 - 86*s**3 + y*s**3 - 4*s**2 - 2*s = 0.
-1/3, 0, 1
Let a(r) be the third derivative of -2*r**2 - 265/84*r**4 - 32 + 67/35*r**5 + 44/21*r**3 + 0*r - 3/140*r**6. Factor a(s).
-2*(s - 44)*(3*s - 1)**2/7
Let 0 - 69/4*h**4 + 0*h**2 + 3/4*h**5 + 0*h + 33/2*h**3 = 0. What is h?
0, 1, 22
Let w(c) be the third derivative of -c**7/105 + c**6/5 - 9*c**5/10 - 116*c**2 + 5. Factor w(j).
-2*j**2*(j - 9)*(j - 3)
Suppose 62*b**2 + 0 - 901/2*b**3 - 2*b + 210*b**4 = 0. Calculate b.
0, 1/20, 2/21, 2
Let s be (1/2)/((-3)/(-18)). Suppose u - 8 = -s*u. Factor -3/5*t + 1/5*t**u + 0.
t*(t - 3)/5
Let l(f) be the second derivative of f**5/60 + 703*f**4/12 + 494209*f**3/6 + 347428927*f**2/6 + 121*f + 3. Factor l(u).
(u + 703)**3/3
Let j be (-1)/(-7) + -82*(-4)/56. Solve -26*q**2 - 24*q**3 - j*q**2 + 3*q**5 - 3*q**5 + 2*q**5 = 0.
-2, 0, 4
Let b(s) be the second derivative of s**6/1620 + 13*s**5/540 + s**4/9 + 65*s**3/6 - 99*s. Let f(j) be the second derivative of b(j). Solve f(h) = 0.
-12, -1
Let f = 8/140995 + 1525001864/986965. Factor 416/7*b - 4/7*b**2 - f.
-4*(b - 52)**2/7
Let p(r) be the second derivative of 0 + 103*r - 10*r**2 + 22/3*r**3 - 2*r**4. Determine q so that p(q) = 0.
5/6, 1
Let x = -1240 - -1245. Let y(m) be the third derivative of -1/1512*m**8 + 0 + 0*m**6 + 2/135*m**x + 0*m**4 + 15*m**2 - 1/315*m**7 + 0*m**3 + 0*m. Factor y(q).
-2*q**2*(q - 1)*(q + 2)**2/9
Let k(g) be the third derivative of g**6/840 + 11*g**5/84 + 13*g**4/14 + 5127*g**2. Factor k(n).
n*(n + 3)*(n + 52)/7
Let j(n) = 33*n**3 + 155*n**2 + 585*n + 398. Let p(m) = 5*m**3 + 26*m**2 + 97*m + 66. Let q(k) = 6*j(k) - 39*p(k). Factor q(f).
3*(f - 31)*(f + 1)*(f + 2)
Suppose -24*k + 5*i = -29*k + 3040, 0 = -3*k + 2*i + 1839. Let d = -611 + k. Factor d + 5/4*a**2 + 0*a - 1/4*a**3.
-a**2*(a - 5)/4
Let x(h) be the second derivative of h**7/210 - h**6/30 - h**5/30 + h**4/2 + h**3/3 + h + 6. Let o(j) be the second derivative of x(j). Factor o(z).
4*(z - 3)*(z - 1)*(z + 1)
Let a(f) be the first derivative of -f**6/30 - 4*f**5/15 - 2*f**4/3 + 133*f**2/2 + 31. Let m(l) be the second derivative of a(l). What is b in m(b) = 0?
-2, 0
Let o(s) be the third derivative of -s**8/112 + 13*s**7/35 + 147*s**6/40 + 61*s**5/5 + 31*s**4/2 + 692*s**2. Find r such that o(r) = 0.
-2, -1, 0, 31
Let f be 495/(-7 + (-136)/(-16)). Determine r, given that f*r - 160*r**2 - 530*r**2 + 50*r**3 - 22 + 198*r - 82 = 0.
2/5, 13
Suppose -l = -102 + 131. Let y be 22/8 - l/(-58). Find b, given that 0 - 3/4*b**3 - 3/2*b + y*b**2 = 0.
0, 1, 2
Let n(f) be the second derivative of f**4/4 - 35*f**3/2 + 324*f**2 + 1385*f. Factor n(s).
3*(s - 27)*(s - 8)
Let i(h) be the second derivative of 18*h - 2 - 12*h**2 + 11/3*h**3 + 1/30*h**5 - 5/9*h**4. What is m in i(m) = 0?
3, 4
Let g(m) be the first derivative of m**6/30 - 4*m**5/15 + m**4/6 + 4*m**3 - 47*m**2/2 + 34. Let u(f) be the second derivative of g(f). Factor u(i).
4*(i - 3)*(i - 2)*(i + 1)
Let j(n) = 12*n**3 + 1694*n**2 + 3403*n. Let c(v) = -22*v**3 - 3388*v**2 - 6805*v. Let r(k) = 7*c(k) + 13*j(k). Factor r(h).
2*h*(h - 849)*(h + 2)
Suppose 97596 = 55236*x - 55127*x + 10396. Find v, given that 5/2*v**3 + 2000 + x*v - 95*v**2 = 0.
-2, 20
Let o(u) be the first derivative of -u**7/21 + 7*u**6/15 + 4*u**5/5 - 180*u + 111. Let r(s) be the first derivative of o(s). Suppose r(z) = 0. What is z?
-1, 0, 8
Let l(g) be the first derivative of -3*g**4/20 - 576*g**3/5 + 1731*g**2/10 + 3780. Factor l(t).
-3*t*(t - 1)*(t + 577)/5
Let g(z) = 14*z - 29. Let p be g(6). Let v = p + -50. Factor 18*x**2 - 26*x**2 - x**5 + 5*x**v - 4*x**3 + 8*x**4.
4*x**2*(x - 1)*(x + 1)*(x + 2)
Let l(o) = 112*o + 451. Let j be l(-4). Let k(x) be the second derivative of 7/12*x**4 - 3/20*x**5 - 14*x + 0 + 4*x**2 + j*x**3. Factor k(w).
-(w - 4)*(w + 1)*(3*w + 2)
Let w be (1 - 1) + -1*(-1 + -1). Solve -16*k - 47 + 10 + 16 - 11 - 2*k**w = 0.
-4
Let x(l) be the second derivative of l**6/90 - l**5/2 - 179*l**4/36 + 20*l**3/3 + 350*l**2/3 + 5498*l. Determine k, given that x(k) = 0.
-5, -2, 2, 35
Let f(z) be the third derivative of 0*z**3 + 2/21*z**7 + 1/84*z**8 + 1/6*z**6 - 1/3*z**5 + 82*z**2 + 0 + 0*z - z**4. Solve f(k) = 0 for k.
-3, -2, -1, 0, 1
Determine m so that 2/9*m**2 - 32/3*m + 94/9 = 0.
1, 47
Let j(m) be the first derivative of -20 - 26/3*m**3 - 7/4*m**4 - 13/2*m**2 + 6*m. Let j(n) = 0. Calculate n.
-3, -1, 2/7
Let r(b) be the first derivative of -1/3*b**4 - 1/40*b**5 - 22 + 25/2*b**2 - 5/12*b**3 - 11*b. Let f(z) be the first derivative of r(z). Solve f(h) = 0.
-5, 2
Let h(y) be the first derivative of 0*y**3 + 44 - 37/2*y**2 - 1/5*y**4 + 0*y - 1/100*y**5. Let i(m) be the second derivative of h(m). Factor i(l).
-3*l*(l + 8)/5
Let v(o) be the second derivative of -11 + 7/225*o**6 - 1/315*o**7 - 16/45*o**3 + 2*o - 19/150*o**5 + 5/18*o**4 + 4/15*o**2. Solve v(y) = 0 for y.
1, 2
Let x(z) be the second derivative of -64*z**6/15 - 6936*z**5/5 - 1730*z**4 - 2593*z**3/3 - 216*z**2 - 3293*z. What is k in x(k) = 0?
-216, -1/4
Let f(n) be the second derivative of -n**7/21 + 3*n**6/5 + 61*n**5/10 + 119*n**4/6 + 32*n**3 + 28*n**2 + 309*n - 1. Suppose f(p) = 0. What is p?
-2, -1, 14
Let p(d) = -2*d**5 - 2*d**4 - d**2. Let j(x) = 25*x**5 + 90*x**4 + 251*x**3 + 383*x**2 + 228*x + 40. Let z(v) = 2*j(v) + 18*p(v). Determine t so that z(t) = 0.
-5, -2, -1, -2/7
Let z(w) be the second derivative of w**6/10 - 3*w**5/10 - 3*w**4/4 + 2*w**3 + 6*w**2 - 589*w + 4. Determine s, given that z(s) = 0.
-1, 2
Let 3857296/5 - 3924/5*z**2 - 2/5*z**3 - 1920792/5*z = 0. What is z?
-982, 2
Let v = 244 - 243. Let q(o) = -47*o**4 + 23*o**3 + 355*o**2 - 72*o - 648. Let m(p) = -p**4 - p**3 + p**2. Let z(y) = v*q(y) + 3*m(y). Factor z(j).
-2*(j - 2)**2*(5*j + 9)**2
Let x(c) be the first derivative of 170 + 7/3*c**3 + 8*c + 7*c**2 + 1/4*c**4. Factor x(l).
(l + 1)*(l + 2)*(l + 4)
Suppose -194*m**2 - 2*m - 511 + 198*m**2 + 511 - 2*m**3 = 0. Calculate m.
0, 1
Let c(k) be the first derivative of k**7/2520 - k**5/30 - 2*k**4/9 - k**3/3 + 33*k - 70. Let w(y) be the third derivative of c(y). Factor w(n).
(n - 4)*(n + 2)**2/3
Suppose 738*z - 2650 = -587*z. Factor 15/4*p - p**3 + 0 - 7/4*p**z.
-p*(p + 3)*(4*p - 5)/4
Factor 190/3 + 188/3*c**2 + 1/3*c**3 - 379/3*c.
(c - 1)**2*(c + 190)/3
Let i(g) be the third derivative of 0*g - 7/33*g**4 + 0 + 1/11*g**5 + 1/1155*g**7 - 1/55*g**6 + 3/11*g**3 + 119*g**2. Factor i(z).
2*(z - 9)*(z - 1)**3/11
Suppose 3*m = 3*a - 141, 4*a - 47 = m + 5*a. Let q = m - -53. Find p such that 7*p - 2*p - 62*p**3 + 61*p**3 - 2*p**2 + q = 0.
-3, -1, 2
Let b(y) be the first derivative of y**6/9 - 2*y**5/5 - y**4/2 + 14*y**3/9 + 2*y**2 - 2336. Let b(a) = 0. What is a?
-1, 0, 2, 3
Let d = 31 - 26. Suppose 0*u - 3*m - 18 = -u, -3*m - 114 = -d*u. Solve -59*j - 6*j**2 + u*j**4 + 3*j**3 + 59*j + 15*j**5 = 0 for j.
-1, 0, 2/5
Let h(n) be the third derivative of -n**5/30 + 15*n**4/2 + 184*n**3/3 + 10*n**2 - 29. Suppose h(g) = 0. What is g?
-2, 92
Suppose -4 + 5 = f. Let m be 0 + 5 + -1 + f. Solve 23*l**2 - 11*l**3 - l**3 - 8*l**4 + 3*l**m - 31*l**2 - 2*l - 5*l**5 = 0 for l.
-1, 0
Let z(f) be the second derivative of 2*f**7/105 + 19*f**6/150 + 23*f**5/100 + f**4/12 - f**3/10 + f - 648. Solve z(s) = 0.
-3, -1, 0, 1/4
Suppose -132 = -4*h + 72. Factor 8*n + 8*n + h*n**4 - 24*n**2 + 32 - 4*n**3 - 47*n**4.
4*(n - 2)**2*(n + 1)*(n + 2)
Let w(u) = -3*u + 0*u**3 - 2*u - u**3 - 5*u**2. Let x(h) = -1 - 1 - 2244*h + 2 + 2243*h. Let m(t) = 3*w(t) - 3*x(t). Factor m(b).
-3*b*(b + 1)*(b + 4)
Solve 76/9*q + 82/3 - 2/9*q**2 = 0.
-3, 41
Let h = 12 + -2. Let w = 12 - h. Let t(i) = 9*i**3 + 2*i**2 - 9*i - 2. Let n(o) = o**3 - o. Let m(f) = w*t(f) - 14*n(f). Factor m(s).
4*(s - 1)*(s + 1)**2
Let g(j) be the third derivative of 0 + 1/28*j**4 - 1/28*j**5 + 0*j**3 + 0*j - 41*j**2 + 1/70*j**6 - 1/490*j**7. Suppose g(b) = 0. Calculate b.
0, 1, 2
Let q be (-4)/(-14)*(-1)/(-1). Let r be (5 + (19 - 1414/56)*-4)/(6 + 1). Factor -r*a**2 + 0 + 50/7*a - 18/7*a**3 - q*a**4.
-2*a*(a - 1)*(a + 5)**2/7
Let z(o) be the third derivative of o**8/12 + 20*o**7/21 - 11*o**6/6 - 10*o**5/3 + 8*o**4 - 1756*o**2. Determine q, given that z(q