*t**2 - 3*t. Let k(c) = 0. What is c?
0, 2
Suppose 2*z = -o + 3*o, -5*o = -3*z + 2. Let b be z + 8 - (1 - -2). Solve 4 + b*j**2 + 3*j**3 - 8*j + 5*j**3 - 4*j**2 - 4*j**4 = 0.
-1, 1
Let f(o) = -22*o**5 + 32*o**4 + 22*o**3 - 22*o**2 + 6*o - 2. Let r(h) = -2*h**5 + h**4 + h - 1. Let w(g) = 2*f(g) - 4*r(g). Find m, given that w(m) = 0.
-1, 0, 1/3, 2
Factor -10*m**4 - 66*m**3 + 104*m**2 - 74*m**2 + 7*m**4 - 393*m**2.
-3*m**2*(m + 11)**2
Find h such that -15/4*h + 3*h**2 - 3/4*h**3 + 3/2 = 0.
1, 2
Let m(v) be the first derivative of -25*v**4/4 + 95*v**3 + 270*v**2 - 260*v + 282. Factor m(y).
-5*(y - 13)*(y + 2)*(5*y - 2)
Let z be 33/5 - 24/40. Suppose 4*r + 5*u - z*u = 17, -4*r + 5*u + 37 = 0. Determine a so that 7*a**4 - a**3 - 49*a**5 + 25*a**r + 6*a**2 + 14*a**4 - 2*a**2 = 0.
-2/7, 0, 1
Let j = -4172 - -16689/4. Factor -1/2 - j*b**3 + 3/4*b + 0*b**2.
-(b - 1)**2*(b + 2)/4
Let s(c) be the third derivative of 1/2*c**3 + 23*c**2 + 1/12*c**5 + 0 + 0*c - 1/3*c**4. Factor s(k).
(k - 1)*(5*k - 3)
Let n(f) be the third derivative of -11*f**7/1050 + 361*f**6/600 - 1309*f**5/100 + 2783*f**4/24 + 1331*f**3/15 + 42*f**2. Factor n(y).
-(y - 11)**3*(11*y + 2)/5
Factor 4/5*x**3 + 1/5*x**4 - 16/5*x + 0*x**2 - 16/5.
(x - 2)*(x + 2)**3/5
Suppose -4*p = -k - 11, -4*p - p - 3*k = -35. Factor -5*x**2 + 2*x**2 + 18 + p*x**2 - 4*x**2 + 3*x.
-3*(x - 3)*(x + 2)
Let s(n) be the first derivative of 2*n**5/55 + n**4/22 - 8. Factor s(w).
2*w**3*(w + 1)/11
Let w(o) be the first derivative of o**6/40 - 3*o**5/40 + o**4/16 - 30*o + 14. Let v(p) be the first derivative of w(p). Factor v(g).
3*g**2*(g - 1)**2/4
Find z such that 39*z**2 + 16*z**3 + 5*z**2 - 11 - 12*z + 11 = 0.
-3, 0, 1/4
Let s(t) be the first derivative of t**5/25 + 9*t**4/20 - t**3/15 - 9*t**2/10 - 107. Factor s(v).
v*(v - 1)*(v + 1)*(v + 9)/5
Let p(i) = -i**2 + 17*i + 36. Let z be p(18). Let k be (-6)/4 - (-27)/z. Find r, given that 1/2*r + 1/2*r**2 + k = 0.
-1, 0
Let n(l) be the first derivative of -2*l**6/3 - 24*l**5/5 - 11*l**4 - 8*l**3/3 + 24*l**2 + 32*l - 80. Suppose n(q) = 0. What is q?
-2, -1, 1
Suppose -7*k**3 + 0*k**2 - 6 - 17*k - 5*k**3 - k**4 - 17*k**2 + 5*k**3 = 0. What is k?
-3, -2, -1
Let d(a) be the third derivative of a**9/11340 + a**8/2160 - a**7/1890 - a**5/6 - 35*a**2. Let o(x) be the third derivative of d(x). Factor o(y).
4*y*(y + 2)*(4*y - 1)/3
Let z(x) be the third derivative of -1/6*x**4 + 8/525*x**7 - 2/75*x**5 + 0*x + 38*x**2 + 1/420*x**8 + 0 - 4/15*x**3 + 2/75*x**6. Solve z(l) = 0.
-2, -1, 1
Let d = 2033 - 2031. Let x(w) be the first derivative of -2/9*w + 0*w**d + 2/27*w**3 - 1. Factor x(i).
2*(i - 1)*(i + 1)/9
Let x(w) be the third derivative of -2*w**3 + 2/105*w**7 + 0 + 6*w**2 + 0*w + 2/15*w**6 + 2/15*w**5 - 2/3*w**4. Solve x(b) = 0.
-3, -1, 1
Let o(p) be the third derivative of -p**5/3 + 15*p**4/8 + 15*p**3/2 - 69*p**2. Factor o(t).
-5*(t - 3)*(4*t + 3)
Let n be (159/273 - (-2)/(-13))/(12/14). Factor -d**2 + 1/4*d**4 - n*d**3 + 0 + 2*d.
d*(d - 2)**2*(d + 2)/4
Let 5/3*m**2 + 7/3 - 12*m = 0. What is m?
1/5, 7
Let q(n) = -5*n + 20. Let d be q(3). Factor -2*i**d - 454 + 12*i**3 + 2*i**4 + 454.
-2*i**3*(i - 3)*(i + 2)
Let h(m) = 0*m - 3*m + 1 + 3 - 5. Let v be h(-3). Determine k, given that 8*k + v*k**2 - 5*k**2 - 2*k + 3 = 0.
-1
Let y(s) = -17*s**3 - 3*s**2 + 6*s - 1. Let f be y(2). Let l = f - -275/2. Find d, given that 1/2*d**3 - 1/4*d**2 + 1/4*d**4 + 0 - l*d = 0.
-2, -1, 0, 1
Let q(f) = 2*f**3 - 5*f**2 - 4*f. Let w(t) = -t**3 + 4*t**2 + 3*t. Let b(m) = 2*q(m) + 3*w(m). What is d in b(d) = 0?
-1, 0
Suppose 4*r - 3 = 5*h, -2 = -2*h - 0. Suppose -r*k - 2*k + 8 = 0. Factor -3*a - 24*a - 2 + 21*a**k + 9 - 1.
3*(a - 1)*(7*a - 2)
Let d(s) be the third derivative of s**8/32 - 13*s**7/28 - 13*s**6/20 + s**5/2 - 112*s**2. Find z such that d(z) = 0.
-1, 0, 2/7, 10
Let k(l) be the second derivative of -l**7/21 - l**6/3 - 2*l**5/5 - 278*l. Let k(w) = 0. Calculate w.
-4, -1, 0
Determine q so that 20/3*q + 0 + 2/9*q**2 = 0.
-30, 0
Let z(d) be the first derivative of -5/3*d**3 + 0*d**2 - 31 + 7/4*d**4 + 0*d + 1/30*d**6 - 11/25*d**5. Factor z(v).
v**2*(v - 5)**2*(v - 1)/5
Let w be (-68 - 12)/(-10) + (-2 - 3). Let o(c) be the third derivative of -1/90*c**5 + 6*c**2 + 0*c + 0*c**4 + 0 + 0*c**w. Suppose o(z) = 0. Calculate z.
0
Let x(s) = s**2 + 2*s + 3. Let y = 5 - 7. Let p be x(y). Factor b**4 + 4*b**p + 5*b**4 - b**4 - 4*b**2 - b**4 - 4*b.
4*b*(b - 1)*(b + 1)**2
Factor 0*t - 2/5*t**2 + 2/5.
-2*(t - 1)*(t + 1)/5
Let c(v) be the first derivative of v**5/90 - v**4/12 + 2*v**3/9 + v**2/2 - 3. Let d(i) be the second derivative of c(i). Factor d(z).
2*(z - 2)*(z - 1)/3
Let t(x) be the third derivative of -x**5/330 + 19*x**4/132 - 2*x**2 + 9*x. Factor t(n).
-2*n*(n - 19)/11
Let i be (10/30)/((-2)/(-18)). Suppose 4*w = 2*w + 3*x - 9, 0 = -i*w - 4*x + 29. Let -6*s**5 + 22*s**3 - 13*s**3 - 3*s**5 - w*s**4 + 3*s**2 = 0. What is s?
-1, -1/3, 0, 1
Suppose -1/3*g**3 + 1/3*g**5 - 2/3*g**4 + 0 + 0*g + 2/3*g**2 = 0. What is g?
-1, 0, 1, 2
Let k(p) = -p**2 - 9*p - 10. Let o be k(-8). Let u = 10 + o. Solve -u*t**2 + 0*t**3 + t**3 + t**3 - 6*t**3 = 0 for t.
-2, 0
Let u be 4/(24/18) - 1. Let c(v) be the first derivative of -1/6*v**4 + 1/3*v**u + 0*v + 0*v**3 - 5. Factor c(h).
-2*h*(h - 1)*(h + 1)/3
Suppose -2*t - z + 21 - 20 = 0, -4*z + 4 = -5*t. Factor 1/2*w**3 + t - w**2 + 1/2*w.
w*(w - 1)**2/2
Let z = -21 - -21. Let q(d) be the second derivative of 0*d**2 + 2/15*d**6 + z - 2*d + 1/3*d**4 + 1/42*d**7 + 1/6*d**3 + 3/10*d**5. Factor q(x).
x*(x + 1)**4
Determine l, given that 5529*l - 9*l**2 - 5529*l + l**3 = 0.
0, 9
Let 4 + 8*w - 17*w + 9*w + 6*w + 2*w**2 = 0. What is w?
-2, -1
Factor -2/5*j**2 - 8/5 + 16/5*j - 6/5*j**3.
-2*(j - 1)*(j + 2)*(3*j - 2)/5
Suppose -31*n + 27*n + 8 = 0. Factor -3*t - 7*t + 5*t**n - 4*t - 3*t**2 + 12.
2*(t - 6)*(t - 1)
Let p(u) be the first derivative of -u**5/30 - 5*u**4/12 - 16*u**3/9 - 8*u**2/3 - 56. Factor p(v).
-v*(v + 2)*(v + 4)**2/6
Let g(o) be the third derivative of -3*o**5/10 - 76*o**4/3 + 68*o**3/3 + 260*o**2 + 2. Suppose g(x) = 0. Calculate x.
-34, 2/9
Let m be (34/(-6))/(2499/(-882)). Factor -8/3*b - 4/3*b**3 - 6*b**m + 0.
-2*b*(b + 4)*(2*b + 1)/3
Let g(j) be the first derivative of -4*j**3/3 - 4*j**2 + 12*j - 110. Factor g(q).
-4*(q - 1)*(q + 3)
Let l(y) be the first derivative of -5*y**3/3 - 10*y**2 - 15*y + 68. Factor l(a).
-5*(a + 1)*(a + 3)
Let x = -5 - -6. Let f be (6/(-2))/(x - 2). Let 3*j**f - 3*j - 4*j**2 + 3*j**2 + 2 + 7*j**4 - 8*j**4 = 0. Calculate j.
-1, 1, 2
Let z(n) = -5*n**2 + 5*n - 5 - n - 5*n. Let g(q) = 1 - 5*q**2 - q**2 - 7. Let p(d) = -3*g(d) + 4*z(d). Determine o, given that p(o) = 0.
-1
Let v(a) be the third derivative of -a**4/24 + 7*a**3/3 + 9*a**2. Let q be v(-10). Solve -21 + q*b**2 - 27 + 24*b - 27*b**2 = 0 for b.
4
Factor -9/7*u**2 + 3/7*u**4 - 66/7*u + 48/7 + 24/7*u**3.
3*(u - 1)**2*(u + 2)*(u + 8)/7
Let r(m) be the second derivative of m**5/20 + 13*m**4/36 - 5*m**3/9 + 4*m - 10. Factor r(t).
t*(t + 5)*(3*t - 2)/3
Let o be 5 + 4*35/(-30). Let g(j) be the first derivative of o*j**6 + 0*j**2 - 4/3*j**3 + 0*j**5 - 1 - 3/2*j**4 + 0*j. Factor g(u).
2*u**2*(u - 2)*(u + 1)**2
Let o(q) be the second derivative of -5*q**7/7 + 101*q**6/6 - 73*q**5/2 - 465*q**4/4 - 75*q**3 - 1040*q. Solve o(m) = 0 for m.
-2/3, -1/2, 0, 3, 15
Let s(r) be the first derivative of -10 + 2/27*r**3 + 0*r - 5/9*r**2. Determine g so that s(g) = 0.
0, 5
Let k be 0/(7/((-280)/16 + 14)). Factor 4/5*t - 16/5*t**3 + k + 2*t**4 + 2/5*t**2.
2*t*(t - 1)**2*(5*t + 2)/5
Let z(k) be the second derivative of -k**7/42 - k**6/15 + k**4/6 + k**3/6 - 88*k. Solve z(x) = 0 for x.
-1, 0, 1
Suppose 17*o + 5*o**5 + 20 + 20*o**4 - 22*o**2 - 18*o**2 - 10*o**3 - 12*o = 0. What is o?
-4, -1, 1
Let o be ((-624)/32)/(-13)*(1 + 3). Let a(y) be the third derivative of -3/80*y**5 + 1/16*y**4 + 0 + 0*y + 3*y**2 + 1/160*y**o + 0*y**3. Factor a(q).
3*q*(q - 2)*(q - 1)/4
Let u(n) = n**2 - 89*n + 425. Let t be u(5). Let w(s) be the second derivative of -5/8*s**3 - 2*s - 9/8*s**2 - 1/80*s**t + 0 - 7/48*s**4. Factor w(m).
-(m + 1)*(m + 3)**2/4
Find i, given that -34/7*i - 30/7 + 2/7*i**3 - 2/7*i**2 = 0.
-3, -1, 5
Let r(n) be the second derivative of 1/10*n**5 - 2*n**2 + 0 - n**3 + 0*n**4 + 21*n. Let r(x) = 0. Calculate