*3 + 5*g + 10. Let p(h) = 12*h**4 + 4*h**3 - 4*h - 8. Let z(f) = -5*p(f) - 4*r(f). Suppose z(a) = 0. What is a?
-2, 0
Let o(l) be the second derivative of l**4/4 - 87*l**3 - 525*l**2/2 + 1243*l. Solve o(m) = 0 for m.
-1, 175
Factor 42*n**2 + 278*n**3 - 660 - 141*n**3 - 142*n**3 + 68*n**2 - 545*n.
-5*(n - 12)*(n - 11)*(n + 1)
Let t be -7*((-5792)/224 - -25). Let y be 6/(-21) - (-106)/28. Factor -y*m**3 + 0 + t*m**2 + 2*m.
-m*(m - 2)*(7*m + 2)/2
Let f(c) be the third derivative of 0 + 2/3*c**3 + 1/2016*c**8 + 5*c**2 - 2*c + 7/240*c**6 - 5/36*c**4 - 2/315*c**7 - 7/180*c**5. Factor f(u).
(u - 3)*(u - 2)**3*(u + 1)/6
Let s(t) be the third derivative of -t**6/720 + 3*t**5/40 - 27*t**4/16 - 25*t**3/3 + 2*t**2 - 55*t. Let y(l) be the first derivative of s(l). Factor y(n).
-(n - 9)**2/2
Factor 69 + 35*w + 1/4*w**2.
(w + 2)*(w + 138)/4
Let j(r) = -r**3 + 2*r**2 - 13*r - 13. Let i be j(-1). Let y(z) be the second derivative of 0 - 4*z**2 - 12*z + 1/6*z**4 + 0*z**i. Factor y(f).
2*(f - 2)*(f + 2)
Let b be 1/(-9) - (-26)/234. Suppose b = -217*s + 205*s + 24. Factor -1/2*t**3 - t**s + 2*t + 4.
-(t - 2)*(t + 2)**2/2
Let r(f) = 5*f - 59. Let y be r(12). Solve -3*c**2 - y - 8 + 0 - 12*c = 0 for c.
-3, -1
Let g(b) be the third derivative of -7*b**5/30 - 451*b**4/9 + 172*b**3/9 + 2*b**2 + 3*b + 57. Suppose g(t) = 0. What is t?
-86, 2/21
Let i = 18 - 16. Solve 2*h**i + 157*h**4 + 3*h - 50*h**4 + 1 - 55*h**4 - h**5 - 55*h**4 - 2*h**3 = 0 for h.
-1, 1
Let l be ((-1888)/(-144) - 13)*(-192)/(-8). Solve 0 + 0*p + 4/3*p**5 - 2/3*p**2 - 10/3*p**4 + l*p**3 = 0 for p.
0, 1/2, 1
Let i(r) be the first derivative of 0*r + 1/6*r**3 + 0*r**2 + 1/32*r**4 + 14. Factor i(n).
n**2*(n + 4)/8
Let w be (-42)/(-3675)*-25 - (19/(-42))/1. Suppose 0*j + 1/3*j**2 + 0 - w*j**3 = 0. What is j?
0, 2
Solve -4147*i**2 - 5*i**3 - 7*i**4 + 4151*i**2 - 6*i**5 + 9*i**5 - i**5 = 0.
-1, 0, 1/2, 4
Let t = 496 + -490. Let a be (t/(-9))/((-19)/19). Let 2*j + 8/3 - a*j**2 = 0. Calculate j.
-1, 4
Let o(j) be the first derivative of -3/32*j**4 - 3/2*j**3 - 59 - 135/16*j**2 - 75/4*j. Factor o(i).
-3*(i + 2)*(i + 5)**2/8
Let r(a) be the first derivative of -a**9/13608 + a**8/1890 + a**7/756 - 2*a**3/3 + 8*a**2 + 33. Let n(f) be the third derivative of r(f). Factor n(t).
-2*t**3*(t - 5)*(t + 1)/9
Let s(c) be the third derivative of c**8/1008 + 8*c**7/105 + 181*c**6/360 + 37*c**5/30 + 11*c**4/9 - 10*c**2 - 132. Find w, given that s(w) = 0.
-44, -2, -1, 0
Let c(v) = -6*v**2 + 573*v + 2574. Let m(a) = -a**2 + 143*a + 642. Let s(x) = -2*c(x) + 9*m(x). Find p, given that s(p) = 0.
-42, -5
Let h be (2 - -3)*(-24)/20. Let a be 2/(-3) + (-2 - 28/h). Factor 2*c**5 - a*c**5 + 3*c**3 + 0*c**5 - 3*c**5.
-3*c**3*(c - 1)*(c + 1)
Let z be 69/(-2346)*-782 - 21. Factor -15/4*i**z + 0*i - 9/8*i**3 + 3/8*i**4 + 0.
3*i**2*(i - 5)*(i + 2)/8
Solve -2*h**5 + 16*h - 28*h**3 - 8/3*h**2 + 0 + 50/3*h**4 = 0.
-2/3, 0, 1, 2, 6
Suppose -2*u + m - 11 = 6*m, 6 = -2*m. Let g = -78513 - -78535. Factor -w + 20*w**5 + 3*w**3 + 7/2*w**u - g*w**4 + 0.
w*(2*w - 1)**3*(5*w + 2)/2
What is a in -42*a + 0 + 251/6*a**2 + 1/6*a**3 = 0?
-252, 0, 1
Let b(q) be the second derivative of -q**4/12 + 134*q**3/3 - 528*q**2 - 444*q - 2. Factor b(l).
-(l - 264)*(l - 4)
Suppose 4*t = 5*i + 20, -i - 30 = -26. Suppose -11*u + 67*u - 224 = t. Solve -1/8*b**5 + 1/4*b**u + 1/2*b + 0 + 3/8*b**3 - b**2 = 0.
-2, 0, 1, 2
Let x be (28 - 84)/392 - 10*(-23)/42. What is m in -2/3*m**4 + 0 - 8/3*m - 10/3*m**3 - x*m**2 = 0?
-2, -1, 0
Let t(n) be the third derivative of n**7/840 - 11*n**6/24 + 217*n**5/80 + n**4/24 - 217*n**3/6 - 72*n**2 - 6*n - 4. Factor t(r).
(r - 217)*(r - 2)**2*(r + 1)/4
Let i = -8 + 12. Suppose -2*j = -15 + 13. Solve l**2 - j - 2 + 5 + i*l + 1 = 0.
-3, -1
Let n be -2 + 20/60 + 11/3. Solve 28 - 30*j + 152 + j**2 + 45 + 0*j**n = 0.
15
Let u be (18/(-20)*762/(-1143))/(-2 + (-2 - -5)). What is g in -21/5 - u*g**2 - 24/5*g = 0?
-7, -1
Suppose 126*d - 209 = 43. Let b = -5 - -7. Suppose -5 - 408*u - 34*u**d + 1 - 14*u**3 + 382*u - b = 0. What is u?
-1, -3/7
Let l(x) be the first derivative of x**3/4 - 51*x**2/2 + 567*x + 12176. Find u such that l(u) = 0.
14, 54
Let z(s) = 10*s**3 + 167*s**2 - 94*s - 87. Let i(r) = 13*r - 67. Let a be i(5). Let y(x) = x**2 - 2*x - 1. Let w(k) = a*y(k) + z(k). Factor w(u).
5*(u - 1)*(u + 17)*(2*u + 1)
Let w(d) be the first derivative of -4*d**5/25 - 2*d**4 - 148*d**3/15 - 24*d**2 - 144*d/5 + 1246. Suppose w(h) = 0. What is h?
-3, -2
Let m be 28/(-1050)*200*6/(-8). Factor 2/9*x**2 + m*x - 38/9.
2*(x - 1)*(x + 19)/9
Let r(m) = m**3 + 3*m**2 - 2*m + 2. Let q(p) = 6*p**3 + 70*p**2 - 32*p - 196. Let f(a) = -q(a) + 10*r(a). Factor f(t).
4*(t - 9)*(t - 3)*(t + 2)
Let o(k) be the first derivative of 2*k**3/27 - k**2/3 - 20*k/9 + 503. Factor o(f).
2*(f - 5)*(f + 2)/9
Let z(l) be the second derivative of l**4/6 + 1151*l**3/3 - 1152*l**2 + 6*l - 11. Let z(i) = 0. What is i?
-1152, 1
Let b be (1 - (2 + -2))/(7/203). Let z = 37 - b. Let 0*q**3 - 39*q**2 + 36*q - 12 - 3*q**4 + z*q**3 + 10*q**3 = 0. Calculate q.
1, 2
Let y be (12/(-1) - 4004/(-455))/((-42)/175). Factor 25/3*j + 1/3*j**5 - y*j**2 + 10*j**3 - 10/3*j**4 - 2.
(j - 6)*(j - 1)**4/3
Let c(a) = -16 + 30*a - 5*a**2 - 5 + 1. Suppose -3*x = -3*y + 18, 8*y - 2*x = 3*y + 33. Let r(t) = 8*t**2 - 45*t + 30. Let m(z) = y*c(z) + 5*r(z). Factor m(d).
5*(d - 2)*(d - 1)
Factor o**2 + 9*o**2 - 49*o**2 + 0*o**3 - 6*o**2 + 162*o + 3*o**3.
3*o*(o - 9)*(o - 6)
Let g(y) = y**3 + 25*y**2 + 164*y + 146. Let q(k) = -2*k**3 - 50*k**2 - 326*k - 293. Let o(t) = 5*g(t) + 2*q(t). Factor o(i).
(i + 1)*(i + 12)**2
Let z(n) be the first derivative of n**8/2016 - n**6/360 + n**4/144 - 7*n**2 + n + 71. Let c(x) be the second derivative of z(x). Solve c(b) = 0 for b.
-1, 0, 1
Find w such that -28 + 2/3*w**2 - 22/3*w = 0.
-3, 14
What is n in -95*n**2 + 25/2 - 285/2*n + 60*n**3 = 0?
-1, 1/12, 5/2
Let f be 1960/(-1200) + (4 - -2). Let t = f - 25/6. Let -3/5 + t*w**2 + 2/5*w = 0. Calculate w.
-3, 1
Let g(n) = 36*n + 6*n**2 + 154 - 25*n**2 + 7*n**2 + 2*n**2. Let k(b) = -2*b**2 + 7*b + 31. Let s(v) = 6*g(v) - 28*k(v). Factor s(u).
-4*(u - 7)*(u + 2)
Let t be 713/(-62) + (-935)/(-55). Suppose 29/4*r - t*r**3 - 3/2 - 7/4*r**5 - 6*r**2 + 15/2*r**4 = 0. What is r?
-1, 2/7, 1, 3
Let g(t) be the third derivative of -t**5/15 + 67*t**4/2 + 404*t**3/3 - 33*t**2 - 5*t. Solve g(h) = 0.
-1, 202
Suppose -4*o = -3*g + 10, 5*g - 75 = -74*o + 69*o. Suppose -g*x = 2*x. Factor x + 0*h**2 + 0*h - 3/7*h**3 + 6/7*h**4 - 3/7*h**5.
-3*h**3*(h - 1)**2/7
Let d(z) be the third derivative of -z**5/30 + 11*z**4/4 + 34*z**3/3 - 327*z**2. Factor d(j).
-2*(j - 34)*(j + 1)
Let s be 4 - (7 + -2 - 40). Suppose -b = -w + 22, -3*w - 4*b + s = -62. Factor 4*y**4 + 8*y**3 + 31*y**2 - w*y**2 + 0*y**4.
4*y**2*(y + 1)**2
Let c be (-3787)/(-4869)*(-6)/(-7)*(-5)/(-10). Find s such that -c*s**2 + 3*s - 14/3 = 0.
2, 7
Factor -800 - 377*n**2 + 331*n + 382*n**2 - 271*n.
5*(n - 8)*(n + 20)
Suppose -5*b + 19 = -4*a, -5*a - 11187 + 11200 = -b. Factor 0 + 42*n**3 + 1/4*n**5 + 27/4*n**a + 0*n - 49*n**2.
n**2*(n - 1)*(n + 14)**2/4
Let i(l) = 46*l**2 - 55*l - 326. Let p(r) = -5*r**2 + 6*r + 36. Let z(h) = 6*i(h) + 57*p(h). Factor z(n).
-3*(n - 4)*(3*n + 8)
Suppose -245*a - 250 = -3*b - 250*a, b - 66 = -6*a. What is q in -1/2*q**3 - b*q**2 - 108000 - 5400*q = 0?
-60
Let s(m) = 10*m**2 - 20*m - 150. Let g(a) = a**2 + 2. Let i(q) = -5*g(q) + s(q). Factor i(v).
5*(v - 8)*(v + 4)
Let q = 1143 - 1213. Let k = q + 73. Let 0 + 28/15*c**2 + 2/5*c**k + 16/15*c = 0. What is c?
-4, -2/3, 0
Let u = 34094 - 12273839/360. Let t(h) be the third derivative of 0*h**4 - 11*h**2 + u*h**6 + 0 + 0*h + 0*h**3 - 1/60*h**5. Determine d so that t(d) = 0.
0, 3
Factor -258/7 - 381/7*s + 9/7*s**2.
3*(s - 43)*(3*s + 2)/7
Let i(z) = 22*z**3 + 16*z**2 - 54*z - 44. Let f(h) = -21*h**3 - 14*h**2 + 56*h + 46. Let w(p) = -4*f(p) - 3*i(p). Factor w(v).
2*(v - 2)*(v + 1)*(9*v + 13)
Let d = -22017 + 22021. What is v in -7/6*v**2 + 43/3*v - d = 0?
2/7, 12
Suppose 20*a - 35 = -3*k + 15*a, 3*k + a = 43. Suppose 12 - 21/2*d**2 + k*d = 0. Calculate d.
-4/7, 2
Let m(y) be the second derivative of y**5/420 + 5*y**4/56 - 25*y**2 + 109*y. Let n(d) be the first derivative of m(d). Factor n(w).
w*(w + 15)/7
Let m(n) = 7*n 