 - 3*u**3 - 322*u. Factor n(h).
h*(h - 36)*(h + 2)/4
Let c(g) be the second derivative of -5/21*g**3 + 0 - 2/7*g**2 - 2/21*g**4 - 14*g - 1/70*g**5. Suppose c(q) = 0. Calculate q.
-2, -1
Let i(c) = 13*c**3 - 6*c**2 - 3*c + 4. Let w(p) = -28*p**3 + 13*p**2 + 6*p - 9. Let g(h) = 13*i(h) + 6*w(h). Factor g(n).
(n - 2)*(n + 1)**2
Let f(w) be the second derivative of 1/5*w**6 + 0 - 2/3*w**3 - 1/2*w**4 + 1/10*w**5 + 9*w + 1/21*w**7 + 0*w**2. Factor f(x).
2*x*(x - 1)*(x + 1)**2*(x + 2)
Let u(b) be the second derivative of b**4/84 - 10*b**3/21 - 94*b. Factor u(o).
o*(o - 20)/7
Let f be (-8)/60 - (-33)/45. Let r = -213 + 216. Suppose -6/5*d**r - f*d**2 + 3/5*d**4 + 6/5*d + 0 = 0. What is d?
-1, 0, 1, 2
Let p = 2 - 0. Let b = 489 - 481. Factor -b*x**4 - 2*x + 2*x + 8*x**p + 4*x - 4*x**5.
-4*x*(x - 1)*(x + 1)**3
Let x(q) = q**2 - q + 1. Let z(r) = 6*r**2 - 18*r + 10. Suppose -5 = -3*u + 13. Suppose -3*l + 3 = u. Let n(o) = l*z(o) + 10*x(o). Factor n(t).
4*t*(t + 2)
Let y be (2 + 19)/((-4)/(-28) - 0). Find q such that -99*q**4 + 36*q + 13*q**5 + 270*q**3 + 59*q**5 - 3 - 129*q**4 - y*q**2 = 0.
1/6, 1/2, 1
Let b(w) = -16*w**2 - 1680*w + 4. Let j be b(-105). Solve -95/4*x**3 + 125/4*x - 50*x**2 + 0 - 5/2*x**j = 0.
-5, 0, 1/2
Find a such that 2/13*a**2 - 24/13*a + 54/13 = 0.
3, 9
Let f(t) be the third derivative of 0*t**4 - 1/24*t**3 + 0 - 10*t**2 + 1/240*t**5 + 0*t. Solve f(i) = 0.
-1, 1
Let s(z) = 4*z + 32. Suppose -3*m - 44 = 5*o, -2*m = 4*o + o + 36. Let q be s(m). Solve 2/7*c**4 + 0*c + 0*c**3 + q - 2/7*c**2 = 0.
-1, 0, 1
Let m = 2001 - 1996. Find t, given that 0*t + 2/21*t**3 + 0*t**2 + 0 + 0*t**4 - 2/21*t**m = 0.
-1, 0, 1
Suppose -17 + 0 = 4*j + z, -2*z = -4*j - 26. Let v(t) = -6*t - 27. Let d be v(j). Factor -1/2 + 2*r + r**d - 5/2*r**2.
(r - 1)**2*(2*r - 1)/2
Let m(j) be the first derivative of j**3/3 - 63*j**2/2 + 972. Let m(w) = 0. What is w?
0, 63
Factor -10/7*i**3 - 8/7 + 2/7*i**4 + 10/7*i + 6/7*i**2.
2*(i - 4)*(i - 1)**2*(i + 1)/7
Let q = 11073 - 11037. Find j, given that 14*j**5 + 16/7*j**2 + 0*j + 0 + 120/7*j**3 + q*j**4 = 0.
-2, -2/7, 0
Let d = -50 + 54. Factor -d + 2*h**5 + 4*h**2 + 6*h + 3*h**3 - 6*h**3 - 5*h**3.
2*(h - 1)**3*(h + 1)*(h + 2)
Let s = 111 + -105. Suppose 2*b + b = s. Factor 2/3 - 3*j + 16/3*j**b - 1/3*j**5 - 14/3*j**3 + 2*j**4.
-(j - 2)*(j - 1)**4/3
Let o(b) = -166*b - 4314. Let m be o(-26). Determine z so that 6/5 + 1/5*z - 1/5*z**m = 0.
-2, 3
Let m be (1 - -1) + 68/(-34). Suppose -9*h + 10*h - 2 = m. Factor 2*k**3 - 5/3*k + 1/3*k**4 - 1 + 2/3*k**h - 1/3*k**5.
-(k - 3)*(k - 1)*(k + 1)**3/3
Suppose 0 = z + z - 8. Factor -b**3 + 2*b**4 + 3*b**3 + 2*b**2 - z*b**3 + 7*b**3.
b**2*(b + 2)*(2*b + 1)
Suppose -20*h + 88 = -16*h. Suppose 6*l - 17*l + h = 0. Factor -1/4*o - 1/2*o**l + 0 - 1/4*o**3.
-o*(o + 1)**2/4
Let c be ((-8)/18)/(18/(-261)) - (-27 - -31). Find s such that -4/3 - c*s - 2/3*s**2 = 0.
-3, -2/3
Let v = 8573/9 - 947. Let r = 286/45 - v. Suppose 22/5*i**2 - r - 14/5*i**3 - 18/5*i**4 + 14/5*i = 0. Calculate i.
-1, 2/9, 1
Let p(w) = w**2 + 10*w + 18. Let c be p(-8). Determine o so that -1/2*o**2 - 3/2 - c*o = 0.
-3, -1
Let u(j) be the first derivative of 8*j**6/3 - 24*j**5/5 - 23*j**4/4 + 5*j**3 - j**2 + 61. Factor u(i).
i*(i - 2)*(i + 1)*(4*i - 1)**2
Let y(u) be the second derivative of u**5/20 + u**4/12 - 5*u**3/6 + 3*u**2/2 + 28*u - 1. Solve y(w) = 0.
-3, 1
Factor 8/5 + 4/5*h - 1/5*h**3 - 2/5*h**2.
-(h - 2)*(h + 2)**2/5
Let m(w) be the first derivative of w**6/45 - w**5/30 - w**4/18 + w**3/9 - 4*w - 23. Let i(g) be the first derivative of m(g). Factor i(j).
2*j*(j - 1)**2*(j + 1)/3
Suppose 9/2*k**3 + 0*k + 3*k**2 + 3/2*k**4 + 0 = 0. Calculate k.
-2, -1, 0
Let l(k) be the first derivative of k**4/12 - 2*k**3/9 + k**2/6 + 59. Factor l(j).
j*(j - 1)**2/3
Let t(x) be the second derivative of -x**6/90 - 2*x**5/15 - 2*x**4/3 - 2*x**3/3 - 6*x. Let y(m) be the second derivative of t(m). Factor y(l).
-4*(l + 2)**2
Let s = 1155 + -1153. Let q(j) be the third derivative of 0 - 1/300*j**5 + 0*j - 1/120*j**4 + 9*j**s + 0*j**3. Factor q(x).
-x*(x + 1)/5
Let b(g) be the third derivative of g**9/68040 + g**8/5040 + g**7/1260 - 3*g**4/4 - 3*g**2. Let k(w) be the second derivative of b(w). Factor k(o).
2*o**2*(o + 3)**2/9
Let m(b) be the first derivative of -1/3*b**4 - 2*b**3 + 1/90*b**6 + 0*b**2 + 0*b + 6 + 1/30*b**5. Let p(h) be the third derivative of m(h). Factor p(f).
4*(f - 1)*(f + 2)
Let o(v) be the first derivative of -1/3*v**3 + 5 + 0*v + v**2. Let o(b) = 0. What is b?
0, 2
Let r be (-20)/(-3)*6/4. Factor -8*q**3 + 21*q + r*q**2 - 22*q - 17*q**3.
-q*(5*q - 1)**2
Suppose 3*l + l = 48. Suppose -36*t = -30*t - l. Factor -2/5*j**t - 1/5*j + 0 - 1/5*j**3.
-j*(j + 1)**2/5
Let r(t) = 103*t - 618. Let c be r(6). Factor 2/3*i**3 - 2/3*i**2 + 0 + c*i.
2*i**2*(i - 1)/3
Let q(i) be the second derivative of 3*i**3 - 81/2*i**2 - 5*i - 1/12*i**4 - 2. Factor q(j).
-(j - 9)**2
Let -36*d + 4*d**3 + 35*d + 151*d - 15*d**3 - 16*d**2 - 252 + 9*d**3 = 0. What is d?
-14, 3
Let z(q) be the first derivative of 3*q + 3/8*q**4 + 0*q**3 + 29 - 9/4*q**2. Factor z(v).
3*(v - 1)**2*(v + 2)/2
Let g = -78/179 - -849/716. Solve -g*n**3 + 3/8 - 3/8*n**4 + 0*n**2 + 3/4*n = 0.
-1, 1
Let c be (20/(-50))/((-13)/5 + 2). Factor 2*d**4 - 4/3*d**2 + c*d**3 + 0*d + 0.
2*d**2*(d + 1)*(3*d - 2)/3
Solve -4*k**3 + 0*k**2 - 9*k**2 + 57*k**2 - 133*k - 11*k = 0.
0, 6
Let n(s) be the third derivative of s**8/1008 + s**7/30 - s**6/180 - 7*s**5/30 + s**4/72 + 7*s**3/6 - 99*s**2. What is k in n(k) = 0?
-21, -1, 1
Let g(z) be the third derivative of -z**6/120 + z**5/60 + 2*z**4/3 + 10*z**3/3 + 38*z**2. Factor g(h).
-(h - 5)*(h + 2)**2
Let g(j) be the second derivative of 3/10*j**5 + 0*j**3 + 1/10*j**6 + 0 + 0*j**2 + 1/4*j**4 + j. Factor g(t).
3*t**2*(t + 1)**2
Let z(f) be the third derivative of 3*f**2 + 1/30*f**5 + 0*f**4 - 1/60*f**6 + 0*f + 0 + 0*f**3. Factor z(v).
-2*v**2*(v - 1)
Let j(a) be the second derivative of a**6/135 - 2*a**5/45 - a**4/27 + 4*a**3/9 + a**2 - 257*a. Factor j(m).
2*(m - 3)**2*(m + 1)**2/9
Suppose -1 = -y + 7. Suppose -y = -2*h - 4. Let h*d**3 - d + 8*d**3 - 9*d**3 = 0. What is d?
-1, 0, 1
Let p = -56 - -88. Let k be (-20)/(-14) + p/56. Factor -1/5*q**k + 0 - 2/5*q.
-q*(q + 2)/5
Suppose -2*v = -5*s + 71, 4*v - s + 83 + 32 = 0. Let w = -10 - v. Suppose 4 + 16*l - 5*l**2 + 2*l**2 + l**2 - w*l = 0. What is l?
-2, 1
Suppose -1/11*h + 12/11 - 1/11*h**2 = 0. What is h?
-4, 3
Factor 12*f**4 - 35735*f**5 + 31*f**3 + 32*f**2 + 35737*f**5 - 3*f**3 + 4 + 18*f.
2*(f + 1)**4*(f + 2)
Suppose 3*p + 14 = -5*g, -3*p = g + 2 - 4. Let 6*t**4 - 1218*t**p - 2 + 1222*t**2 + 4*t + 8*t**4 - 16*t**3 - 4*t**5 = 0. Calculate t.
-1/2, 1
Let r = 45 + -43. Factor 13*j**2 - 2*j**3 - 12*j**r - 7*j**2.
-2*j**2*(j + 3)
Let z be (4/(-39))/(7/((-33642)/(-228))). Let t = -24/13 - z. Factor 2/19*g**2 - 8/19 + t*g.
2*(g - 1)*(g + 4)/19
Let b be (-74)/(-9) + 8/(-36). Determine p so that -p**3 + 4*p**4 + b*p**2 + 8*p**3 - 2*p**3 + 7*p**3 = 0.
-2, -1, 0
Let t(z) be the second derivative of -z**8/3696 - z**7/770 - z**6/660 + 43*z**2/2 - 20*z. Let v(c) be the first derivative of t(c). Factor v(g).
-g**3*(g + 1)*(g + 2)/11
Let f be (3 + 0)*(-18)/(-1620). Let z(b) be the second derivative of 0 + f*b**4 + 1/5*b**2 - 4*b + 2/15*b**3. Factor z(p).
2*(p + 1)**2/5
Determine h so that 6*h**2 + 2/9 + 56/9*h = 0.
-1, -1/27
Let v(y) be the third derivative of -y**8/1008 + y**7/210 + y**6/180 - y**5/15 + y**4/9 - 21*y**2 - 4. Let v(a) = 0. Calculate a.
-2, 0, 1, 2
Suppose -3*k = -4*k. Suppose k = 2*c + 4, -4*i + 5*c = 15 - 37. Factor 1/5 + 11/5*n**i - 9/5*n**2 - 4/5*n**4 + 1/5*n.
-(n - 1)**3*(4*n + 1)/5
Let t = 195949/17580 + -15/1172. Let i = t + -54/5. Determine n so that -1/3*n**4 + 0*n + 0*n**3 - i + 2/3*n**2 = 0.
-1, 1
Let j(x) be the second derivative of 7*x**7/60 - 7*x**6/4 - 16*x**5/5 - 7*x**4/3 - 17*x**3/6 - 21*x. Let y(u) be the second derivative of j(u). Solve y(w) = 0.
-2/7, 7
Let 0*z + 0 - 125/6*z**2 - 25/2*z**3 + 15/2*z**4 - 5/6*z**5 = 0. What is z?
-1, 0, 5
Let v(k) = -k**3 + 15*k**2 - 11*k - 32. Let d be v(14). Let x be ((-4)/d - 0)/(-1). Let -4/5*y**3 + 0*y + 0 - x*y**4 - 2/5*y**2 = 0. Calculate y.
-1, 0
Let u(x) be the first derivative of -x**6/40 + 29*x**5/120 - x**4/4 + 34*x**3/3 + 6. Let v