nd derivative of -w**6/420 - 2*w**5/105 + 5*w**4/84 + 15*w**2/2 + 17*w. Let v(f) be the first derivative of i(f). What is m in v(m) = 0?
-5, 0, 1
Find i, given that 3*i**2 - 3/7*i**4 + 144/7*i - 18/7*i**3 + 108/7 = 0.
-6, -2, -1, 3
Let i = 8 + -1. Factor -7*v + v + 4*v + 4*v + i*v**2.
v*(7*v + 2)
Let x(g) be the third derivative of 5/2352*g**8 + 0*g - 10*g**2 + 1/84*g**4 - 11/420*g**5 + 0 + 0*g**3 + 1/40*g**6 - 17/1470*g**7. Factor x(d).
d*(d - 1)**3*(5*d - 2)/7
Suppose -5*d = -3*w - 1, -2*w + 0*d = -d - 4. Let r(x) be the first derivative of 0*x - 2/15*x**w + 1/5*x**2 - 5. Suppose r(y) = 0. Calculate y.
0, 1
Let h(p) be the first derivative of -p**5/40 - p**4/8 - p**3/6 + 13*p + 6. Let k(v) be the first derivative of h(v). Suppose k(w) = 0. What is w?
-2, -1, 0
Factor 3/4*g**3 + 21 - 30*g + 33/4*g**2.
3*(g - 2)*(g - 1)*(g + 14)/4
Let b(n) be the first derivative of 1/8*n**4 + 0*n**3 + 0*n + 1/10*n**5 - 5 + 7/2*n**2 + 1/40*n**6. Let h(q) be the second derivative of b(q). Factor h(m).
3*m*(m + 1)**2
Let y(v) = -13*v**2 + 53*v - 50. Let a(f) = -16*f**2 + 54*f - 50. Let w(g) = 5*a(g) - 6*y(g). Factor w(s).
-2*(s - 1)*(s + 25)
Factor 82 + 34*k**3 + 35*k**3 - 40*k**2 - 19*k + 33*k**3 + 62*k - 103*k**3.
-(k - 2)*(k + 1)*(k + 41)
Factor 0*j + 0 - 5/4*j**3 + 15/4*j**2.
-5*j**2*(j - 3)/4
Determine d, given that 1 + 57*d**2 + 8 - 2*d + 15*d**3 + 6 - 85*d = 0.
-5, 1/5, 1
Let c(k) be the first derivative of -3/2*k**2 + 3/5*k**3 + 3/20*k**4 - 3/25*k**5 + 6/5*k - 8. Factor c(v).
-3*(v - 1)**3*(v + 2)/5
Let v(j) = j**2 + 14*j - 11. Let k be v(-15). What is l in -2*l**4 + 8*l**3 + 63*l + k - 2*l**4 - 71*l = 0?
-1, 1
Let x = -17639/35 + 504. Let k(j) be the third derivative of 0*j - 5*j**2 - 1/105*j**6 - 1/21*j**4 + 1/735*j**7 + 1/21*j**3 + x*j**5 + 0. Factor k(u).
2*(u - 1)**4/7
Suppose 21*i - 90 = -48. Find p, given that -3/4*p**i - 3/4*p**3 - 1/4*p + 0 - 1/4*p**4 = 0.
-1, 0
Let r be (-75)/(-2)*(-6)/(-5). Suppose 6*m = m - q + 20, -5*m + 4*q = -r. Factor 3*i**4 + 10*i**3 - 2*i**m - 4*i**3 + 2*i**5 - 3*i**5.
-3*i**3*(i - 2)*(i + 1)
Suppose -5*j = -5 - 10. Let p be ((-2)/6)/(j/(-27)). Let -8 + p - 12*i**2 + 8*i + 3 + 8*i**3 - 2*i**4 = 0. What is i?
1
Let c(u) be the first derivative of -u**8/224 - u**7/105 - u**6/180 - 5*u**2/2 - 8. Let d(l) be the second derivative of c(l). Suppose d(h) = 0. Calculate h.
-2/3, 0
Let y = -9/1166 + 367/106. Factor -32/11*u + y*u**2 - 8/11 - 10/11*u**3.
-2*(u - 2)**2*(5*u + 1)/11
Let u(f) be the first derivative of -f**3/3 - 9*f**2 - 17*f - 66. Factor u(s).
-(s + 1)*(s + 17)
Let c(h) = 3*h**2 - 8*h - 2*h + 9*h. Let o(q) = -7*q**2 + 3*q. Let l(f) = -5*c(f) - 2*o(f). Suppose l(d) = 0. Calculate d.
-1, 0
Let r(s) be the second derivative of -1/12*s**4 + 1/3*s**3 + 0 - 11*s + 3/2*s**2. Factor r(j).
-(j - 3)*(j + 1)
Suppose 0*j = -3*j + 18. Let x = 17 - j. Factor 3*n**5 - n**3 - 2*n**3 - 5*n**4 + x*n**4 + 6*n**3.
3*n**3*(n + 1)**2
Suppose -3*b = 2*v - 16, 200 - 225 = -5*v. Factor 7/6*i + 0 - 1/6*i**b.
-i*(i - 7)/6
Let k(h) be the third derivative of 5*h**9/1008 - 5*h**8/336 + h**7/168 + h**6/72 + 43*h**3/6 + 28*h**2. Let x(m) be the first derivative of k(m). Factor x(p).
5*p**2*(p - 1)**2*(3*p + 1)
Let t be (-4)/((-6)/(-9)*135/(-40)). Find o such that -4/9*o**5 - 20/9*o**3 - 8/9*o**2 + 0 - t*o**4 + 0*o = 0.
-2, -1, 0
Let 4/19*y**3 + 2/19*y**4 + 92/19*y - 56/19*y**2 - 42/19 = 0. What is y?
-7, 1, 3
Let y = -37915 - -37918. Suppose -16/13 + 10/13*n**2 - 4/13*n - 2/13*n**y = 0. Calculate n.
-1, 2, 4
Let y be 2*(-1)/6 + 12*(-21)/(-588). Factor -y*t**2 - 8/21*t + 2/21*t**3 + 8/21.
2*(t - 2)*(t - 1)*(t + 2)/21
Let y be ((-18)/(-1407))/(2/28). Let d = 26/603 + y. Solve 2/9*q**4 + 0*q + d*q**3 + 0 - 4/9*q**2 = 0 for q.
-2, 0, 1
Let a(x) be the third derivative of -1/120*x**5 + 0 + 5/32*x**4 + x - 1/32*x**6 + 6*x**2 + 1/12*x**3. Factor a(j).
-(j - 1)*(j + 1)*(15*j + 2)/4
Let f(r) = 2*r**3 - 10*r**2 + 8*r + 6. Let q(x) = x**2 - x - 1. Let l = 36 + -33. Suppose -15 = -l*j + 3. Let n(v) = j*q(v) + f(v). Factor n(o).
2*o*(o - 1)**2
Let n = 6047/3 - 2009. Factor -4*x**4 - 8*x**3 - 2*x - 2/3*x**5 - n*x**2 + 0.
-2*x*(x + 1)**3*(x + 3)/3
Suppose a - 5*a = -2772. Let v be (-3)/5*(-110)/a*3. Factor 2/7 + v*w**2 - 4/7*w.
2*(w - 1)**2/7
Let o(v) be the second derivative of -5/12*v**4 + 0*v**2 + 1/5*v**5 + 2*v + 1/3*v**3 - 1/30*v**6 + 0. Solve o(u) = 0 for u.
0, 1, 2
Let g = -4851 + 4853. Find l, given that -6/7*l**g - 12/7 - 18/7*l = 0.
-2, -1
Let p(n) be the third derivative of 1/490*n**7 + 0 - 49/2*n**4 + 0*n - 1/10*n**6 + 21/10*n**5 - 8*n**2 + 343/2*n**3. Factor p(r).
3*(r - 7)**4/7
Let o(d) be the second derivative of d**4/132 - 71*d**3/66 - 2*d - 27. Factor o(g).
g*(g - 71)/11
Let b be ((-2 - -10) + -8)*4/(-20). Find q, given that 1/7 + 2/7*q**3 - 1/7*q**4 - 2/7*q + b*q**2 = 0.
-1, 1
Let q be -1 + 11/7 + 303/21. Let w be 1 + -2 + 21/q. Factor 0 - 6/5*d**3 - 2/5*d**5 + 0*d - 6/5*d**4 - w*d**2.
-2*d**2*(d + 1)**3/5
Let j = 537/4 - 131. Let i = -3 + j. Factor 0 + 0*v**2 - 1/4*v**4 + 0*v - i*v**3.
-v**3*(v + 1)/4
Let g be 6/16 - 1*303/(-216). Suppose -32/9 - g*j - 2/9*j**2 = 0. Calculate j.
-4
Let i(q) = 5*q - 3 + 0*q**2 - 2 - 5*q**2 - 10*q**2. Let n(d) = -7*d**2 + 2*d - 2. Let a(o) = -2*i(o) + 5*n(o). Determine x, given that a(x) = 0.
0
Let m = -238 + 241. Suppose -5/4*q + 1/4*q**m - 3/4 - 1/4*q**2 = 0. Calculate q.
-1, 3
Let j(l) be the second derivative of -l**5/4 + 265*l**4/6 - 14045*l**3/6 - 2*l + 36. Factor j(f).
-5*f*(f - 53)**2
Let q(c) be the first derivative of -2*c**3/3 - 25*c**2/2 + 13*c + 55. Suppose q(k) = 0. Calculate k.
-13, 1/2
Let r be (7 - (-215)/(-25))/((-2)/(-5)). Let s be 6/(-8) - (r - -1*1). Solve s*m**2 + 3/4*m**3 + 3/4 + 9/4*m = 0.
-1
Let p(j) be the third derivative of -j**5/120 - 7*j**4/16 + 306*j**2. What is w in p(w) = 0?
-21, 0
Let l(h) be the second derivative of h**4/4 - 73*h**3/6 + 185*h**2 - 22*h. Let k(f) = -f**2 + 24*f - 123. Let r(b) = -7*k(b) - 2*l(b). Let r(w) = 0. What is w?
11
Suppose z + 9 = 15. Let f be ((-2)/(4/z))/(990/(-60)). Find s such that -f*s + 0 + 2/11*s**2 = 0.
0, 1
Suppose 3*n + 1 = -3*a - 5, 14 = 3*n - 2*a. Let h(x) = x**3 - 6*x**2 + 6*x - 3. Let o be h(5). Suppose -k**3 - 4*k + k**2 - n*k + 5*k + k**o = 0. What is k?
0, 1
Let v(p) be the first derivative of -p**6/720 - p**5/60 - p**4/12 - 2*p**3/9 + 5*p**2/2 - 7. Let q(r) be the second derivative of v(r). Factor q(j).
-(j + 2)**3/6
Let l(b) = -b - 3. Let o be l(-8). Let 38*x**4 + 2*x - 17*x**4 - 75*x**3 - 3*x**o - 26*x + 21*x**3 + 60*x**2 = 0. Calculate x.
0, 1, 2
Let 636/13*f + 30/13*f**3 + 274/13*f**2 + 80/13 = 0. What is f?
-5, -4, -2/15
What is x in 0*x**2 - 3*x - 2*x**2 + 36 - 9*x - 7*x**2 + 3*x**3 = 0?
-2, 2, 3
Let g(r) be the first derivative of r**6/14 - 9*r**5/35 + 3*r**4/28 + 3*r**3/7 - 3*r**2/7 - 56. Solve g(s) = 0 for s.
-1, 0, 1, 2
Let x(z) = 2*z**3 - 4*z**2 + 2*z + 2. Let r be x(2). Let g(m) = -m**2 + m - 1. Let k(a) = 5*a**2 + 3*a + 7. Let n(u) = r*g(u) + 2*k(u). Factor n(h).
4*(h + 1)*(h + 2)
Let c(k) = -8*k**2. Let i(r) = -13*r**2 - 3*r - 1. Let d be i(-1). Let w(z) = z**4 + z**3 - 23*z**2 - z. Let m(t) = d*c(t) + 4*w(t). Factor m(y).
4*y*(y - 1)*(y + 1)**2
Suppose -54/5*m + 2/5*m**4 + 6/5*m**3 - 36/5 - 14/5*m**2 = 0. Calculate m.
-3, -2, -1, 3
Let v = 25 + -65. Let c be (-2)/(-5) + (-24)/v. Find z, given that -50*z**2 + 48*z**2 - c - 4*z - 1 = 0.
-1
Let k(c) be the third derivative of -8*c**2 + 0*c + 0 - 1/90*c**5 - 4/9*c**3 - 1/9*c**4. Factor k(v).
-2*(v + 2)**2/3
Let d(b) be the second derivative of -b**4/36 + 2*b**3/9 - b**2/2 - 15*b. Determine z so that d(z) = 0.
1, 3
Let q(d) be the first derivative of d**3/18 - 11*d**2/4 - 17*d/3 - 301. Factor q(l).
(l - 34)*(l + 1)/6
Suppose t**2 + 2*t + 5 - 3*t**2 + 3*t**2 + 5 - 18 = 0. What is t?
-4, 2
Let k(z) be the third derivative of z**6/300 - 121*z**5/150 + 239*z**4/60 - 119*z**3/15 + 332*z**2. Find w, given that k(w) = 0.
1, 119
Let h(g) be the second derivative of 1/35*g**6 - 1/21*g**4 + 19*g + 1/14*g**5 + 0 + 0*g**3 + 0*g**2. Factor h(k).
2*k**2*(k + 2)*(3*k - 1)/7
Let j be (-3)/(1*(10 - 11)). Solve -2/5*m**j + 0*m + 0 - 6/5*m**2 = 0 for m.
-3, 0
Factor -108 - 132*i - 76/3*i**2 - 4/3*i**3.
-4*(i + 1)*(i + 9)**2/3
Let z be 0/(52/(-39)*3/2). Let n(w) be the second derivative o