1)/3
Suppose -4 = -n + 2. Let m = -4 + n. Factor -c**2 + 3*c**2 + m + 0*c**2 + 4*c.
2*(c + 1)**2
Let a be (-74)/45 - (0 - 2). Let o(w) be the second derivative of -8/15*w**5 - 1/18*w**4 + 0 + 1/9*w**3 - 2*w + 0*w**2 + a*w**6. Find y, given that o(y) = 0.
-1/4, 0, 1/4, 1
Factor 56/5*l**2 + 3/5*l**4 + 0 + 16/5*l + 5*l**3.
l*(l + 4)**2*(3*l + 1)/5
Let u(q) = -q**2 + 2*q - 1. Let z(y) = y**3 + 14*y**2 + 14*y + 19. Let b be z(-13). Let w(l) = -9*l**2 + 16*l - 7. Let s(m) = b*w(m) - 51*u(m). Factor s(k).
-3*(k - 1)*(k + 3)
Suppose 8 = -7*j + 9*j. What is v in -15/4*v + 9/4*v**2 + 3/4*v**3 + 3/2 - 3/4*v**j = 0?
-2, 1
Let l = -92 + 94. Factor 1/2*c**2 + l + 2*c.
(c + 2)**2/2
Let w = -1/6 - -5/6. Determine p so that -w - p**2 - 3*p + 4/3*p**3 = 0.
-1, -1/4, 2
What is n in 2/5*n - 2/5*n**3 - 2/5*n**4 + 0 + 2/5*n**2 = 0?
-1, 0, 1
Let l(n) = -n**2 + 3*n + 1. Suppose 4*k - 19 = -7. Let z(g) = -k*g + 5*g - g. Let d(s) = -l(s) + 3*z(s). Let d(c) = 0. Calculate c.
-1, 1
Let w(j) be the third derivative of j**8/5040 - j**6/540 + j**4/72 - j**3 - j**2. Let f(p) be the first derivative of w(p). Factor f(h).
(h - 1)**2*(h + 1)**2/3
Let u = 1 - -1. Factor 4*g**2 - u*g - g**3 - 4*g**3 + 3*g**3.
-2*g*(g - 1)**2
Factor -4/3*k**2 + 0 + 2/3*k - 2/3*k**5 + 4/3*k**4 + 0*k**3.
-2*k*(k - 1)**3*(k + 1)/3
Suppose -10*o + 16 = -6*o. Let k be ((-9)/(-24))/(o/8). Factor -1/2*g + 1/4*g**2 + 0 + k*g**3.
g*(g + 1)*(3*g - 2)/4
Suppose 3*c - 12*k + 16*k + 5 = 0, 0 = 5*c + 3*k - 10. Find z, given that -3/5*z**3 - 3/5*z**4 + 0*z - 1/5*z**2 - 1/5*z**c + 0 = 0.
-1, 0
Let w be 1/(-2)*(3 + -3). Suppose 5*s - 6 - 4 = w. Factor -k - k**2 + k**s + k**2 + 2*k.
k*(k + 1)
Let u(j) = -2*j**2 - 3 + 0 + 3 + 4*j**3. Let g be u(2). Determine r, given that -g*r + 3*r**2 + 8 + 10*r**3 + 4 - 12*r**2 + 17*r**3 = 0.
-1, 2/3
Let c(h) be the first derivative of -10*h**6 + 424*h**5/5 - 280*h**4 + 448*h**3 - 352*h**2 + 128*h - 17. Find x such that c(x) = 0.
2/5, 2/3, 2
Let l(u) = 2*u - 3 - u**4 + u - 2*u**3 + u**2 - u. Let n(i) = 148 + 3*i - i**3 - 149 - 2*i. Let y(s) = 2*l(s) - 6*n(s). Find d such that y(d) = 0.
-1, 0, 1
Let u(v) be the second derivative of 0*v**2 + 0 - 1/10*v**5 + 0*v**3 - v + 1/30*v**6 + 1/12*v**4. Factor u(c).
c**2*(c - 1)**2
Let q = -275/12 + 23. Let p(l) be the third derivative of 0*l + 0 - q*l**4 + l**2 - 1/30*l**5 + 0*l**3. Factor p(v).
-2*v*(v + 1)
Find j such that -3*j**4 - 3*j - 304*j**2 - 3*j**5 + 3 + 6*j**3 - 6 + 310*j**2 = 0.
-1, 1
Let f(i) be the second derivative of 0 + 1/12*i**4 - i - 1/2*i**2 + 0*i**3. Factor f(a).
(a - 1)*(a + 1)
Suppose 0*r - 1125 = -5*r. Find p such that 225 + p**3 - r - p**5 = 0.
-1, 0, 1
Let m(b) be the third derivative of b**5/100 + 3*b**4/40 + b**3/5 - 35*b**2. Find t, given that m(t) = 0.
-2, -1
Let c(h) be the third derivative of -h**8/112 - 3*h**7/70 - h**6/20 + h**5/10 + 3*h**4/8 + h**3/2 - 13*h**2. Factor c(w).
-3*(w - 1)*(w + 1)**4
Suppose -32/3*j + 2/3*j**2 + 128/3 = 0. Calculate j.
8
Solve 2*r**4 + 2*r**5 - 3*r**4 - r**4 + 0*r**5 = 0 for r.
0, 1
Let r be 462/12*(-6)/9. Let t = 27 + r. Find h such that 6*h**3 - 40/3*h**2 + 26/3*h - t = 0.
2/9, 1
Factor 9/2 + 30*q + 50*q**2.
(10*q + 3)**2/2
Factor 0*z**2 - 1/6*z**3 + 0*z + 0 - 2/3*z**4.
-z**3*(4*z + 1)/6
Let g(b) be the first derivative of b**3 - 9*b**2 + 27*b - 17. Factor g(w).
3*(w - 3)**2
Suppose -10*n**2 - 2*n**3 + 7*n**4 + n**4 - 6*n - 6*n**4 = 0. Calculate n.
-1, 0, 3
Let l(w) be the second derivative of -w**9/37800 + w**7/6300 - w**4/4 + w. Let s(t) be the third derivative of l(t). Let s(z) = 0. Calculate z.
-1, 0, 1
Let d(z) be the third derivative of 1/4*z**4 + 9/20*z**5 + 0 + 0*z + 0*z**3 + 2*z**2. Factor d(f).
3*f*(9*f + 2)
Suppose d - 16 = 5*n, -n - 128 = -3*d - 2*d. Suppose 3*t + 4 = -b + 21, -4*t = 3*b - d. What is k in 1/3*k**3 - 1/3*k**5 + 0 - 1/3*k**4 + 0*k + 1/3*k**b = 0?
-1, 0, 1
Let s(f) be the third derivative of -3*f**5/100 + 47*f**4/120 - f**3/3 - 18*f**2. Find c, given that s(c) = 0.
2/9, 5
Let r(j) be the first derivative of -5*j**4/12 + 2*j**3/3 - j**2/6 - 5. Let r(a) = 0. Calculate a.
0, 1/5, 1
Let m(f) be the first derivative of -21*f**4/16 - f**3/4 + 3. Factor m(q).
-3*q**2*(7*q + 1)/4
Let r be 3 - (3/5 + (-94)/(-60)). Let b(l) be the second derivative of -r*l**4 - 4*l**2 + 1/10*l**5 + 8/3*l**3 + 2*l + 0. Factor b(m).
2*(m - 2)**2*(m - 1)
Let l(y) be the second derivative of 3*y - 1/4*y**4 - 2*y**3 + 0 - 6*y**2. Factor l(s).
-3*(s + 2)**2
Let a(o) = 18*o**3 - o**2 + 7*o + 6. Let b(q) = 17*q**3 - 2*q**2 + 6*q + 5. Let i(p) = 5*a(p) - 6*b(p). Find d such that i(d) = 0.
0, 1/4, 1/3
Factor -3/5*f**5 + 3/5*f**3 + 0 + 0*f - 3/5*f**2 + 3/5*f**4.
-3*f**2*(f - 1)**2*(f + 1)/5
Let i(k) be the first derivative of 1/8*k**4 + 1/3*k**3 - 3/4*k**2 + 0*k - 1. Factor i(t).
t*(t - 1)*(t + 3)/2
What is w in 20/3*w**4 - 4/3 - 16/3*w**2 - 8/3*w**5 - 8/3*w**3 + 16/3*w = 0?
-1, 1/2, 1
Let v(o) be the second derivative of -o**7/63 - o**6/45 + o**5/30 + o**4/18 - 4*o. Factor v(b).
-2*b**2*(b - 1)*(b + 1)**2/3
Determine m so that 125/3*m**4 - 180*m**2 - 32/3 + 350/3*m**3 + 232/3*m = 0.
-4, 2/5
Let j(c) be the first derivative of 27/4*c - 9/4*c**2 + 4 + 1/4*c**3. Find o such that j(o) = 0.
3
Let d = -19 + 19. Factor 4/5 + 2/5*c**3 - 6/5*c + d*c**2.
2*(c - 1)**2*(c + 2)/5
Let s(u) be the first derivative of -2*u**6/3 - 4*u**5/5 + 3*u**4 + 20*u**3/3 + 4*u**2 + 8. Find r such that s(r) = 0.
-1, 0, 2
Let y(t) be the third derivative of t**6/360 + t**5/90 - t**4/24 + 17*t**2. Solve y(g) = 0.
-3, 0, 1
Suppose -5*t - 19 = -5*z - 2*t, 4*z - 2*t = 14. Solve 27 + 3*k**z + 4*k - 18*k - 4*k = 0.
3
Let q(f) be the first derivative of -f**4 - 4*f**3/3 + 10*f**2 - 12*f + 16. Factor q(t).
-4*(t - 1)**2*(t + 3)
Let r(i) be the third derivative of i**5/15 + i**4/3 + 12*i**2. Factor r(z).
4*z*(z + 2)
Let i(u) be the second derivative of -u**5/15 + u**4/9 + 4*u**3/9 - 14*u. Determine t, given that i(t) = 0.
-1, 0, 2
Let v = 59/114 - 1/57. Factor -1/4*g**2 + 0 + 1/4*g**3 - v*g.
g*(g - 2)*(g + 1)/4
Find q, given that -9*q**4 + 22*q - 21*q**2 + 12 - 65*q + 31*q + 30*q**3 = 0.
-2/3, 1, 2
Let w(f) be the second derivative of -3/8*f**4 - 1/20*f**5 + f**2 - f**3 - 3*f + 0. Let n(m) be the first derivative of w(m). Factor n(g).
-3*(g + 1)*(g + 2)
Let w(h) be the first derivative of h**6/270 - h**5/120 - h**4/72 - 5*h**3/3 + 4. Let m(x) be the third derivative of w(x). Factor m(y).
(y - 1)*(4*y + 1)/3
Suppose a**2 + 0*a**2 - a**4 + 144*a + 0*a**4 - a**3 - 143*a = 0. What is a?
-1, 0, 1
Let w(c) = c**2 - c. Let s be w(2). Factor -12*d + 4 - 5 + 9 + 4*d**s.
4*(d - 2)*(d - 1)
Let i be (-3 - -4 - 7)*(-1)/2. Let l(u) be the first derivative of 1/2*u - i + 1/2*u**2 + 1/6*u**3. Factor l(j).
(j + 1)**2/2
Let y(u) be the second derivative of 1/20*u**5 + 0*u**3 - 1/42*u**7 + 0 + 0*u**2 - 1/12*u**4 + 1/30*u**6 + 3*u. Factor y(a).
-a**2*(a - 1)**2*(a + 1)
Suppose 21 = 3*g - 4*j, -g - j = 3*g - 9. Factor -12 - 4*h**2 + g*h**3 - 3*h - 6*h**2 - 5*h**2 + 27*h.
3*(h - 2)**2*(h - 1)
Let z(r) = 2*r**2 + 3*r + 3. Let g be z(-2). Suppose 6*n + g*i = 3*n + 10, -4*i = n - 1. Find u, given that 3*u**4 + 5*u**4 + u**3 - n*u**4 = 0.
-1/3, 0
Let w = 0 + 3. Factor -4*k**5 + 8*k**5 - k**4 + w*k**4 + 2*k**4.
4*k**4*(k + 1)
Let d(u) be the first derivative of u**3 - 3*u - 11. Factor d(t).
3*(t - 1)*(t + 1)
What is y in 11/7*y**2 - 4/7 - 25/7*y**4 + 12/7*y - 30/7*y**3 = 0?
-1, 2/5
Let i be (1 - (-21)/(-9)) + -1 + 3. Factor 0*s**3 + 0 + i*s**2 + 0*s - 2/3*s**4.
-2*s**2*(s - 1)*(s + 1)/3
Let x be 12/54 + (-300)/(-108). Find d, given that 4/3*d**2 + 1/3*d - 2/3 + 1/3*d**5 - 2/3*d**x - 2/3*d**4 = 0.
-1, 1, 2
Determine c, given that 1/7*c**2 + 6/7 + c = 0.
-6, -1
Let r = 150 - 73. Let d be 1/(-2) - r/(-66). Let -4/9*x**4 - 2/9*x + d*x**2 - 2/9 + 2/9*x**3 = 0. Calculate x.
-1, -1/2, 1
Let r(l) = l**3 + 1. Let k(m) = -5*m**3 - 2*m**2 + 2*m - 1. Let b(d) = -2*d**2 - 8*d + 7. Let g be b(-5). Let o(y) = g*r(y) - k(y). Factor o(u).
2*(u - 1)*(u + 1)**2
Let i be -1 - -2 - 60/64. Let h(y) be the first derivative of 0*y + 1/24*y**6 + 0*y**3 + 1/10*y**5 - 2 + i*y**4 + 0*y**2. Factor h(l).
l**3*(l + 1)**2/4
Let b = -50/19 + 502/133. What is d in 1/7*d**3 - 4/7 + b*d - 5/7*d**2 = 0?
1, 2
Factor -41425*c**2 - 20495*c**3 + 7106*c - 1681 - 3815*c**4 - 819 - 245*c**5 