*2 - 2500 - 500*u + f*u**4 - 14*u**4 - 520*u**3 + 35*u**4 + 31*u**4 - 4*u**5.
-4*(u - 5)**4*(u + 1)
Suppose m + 362 = 384. Let u be (2/(-33))/(m/(-132)). Suppose -2/11*x**4 - 2/11*x**3 + 2/11*x - u + 6/11*x**2 = 0. What is x?
-2, -1, 1
Suppose 5*o + 4*p + 4 = -4, o + 2 = -p. Let u(y) be the second derivative of 1/3*y**4 + y**2 + 5/6*y**3 + o - 4*y + 1/20*y**5. Solve u(k) = 0.
-2, -1
Let d(h) be the first derivative of -h**4/4 + 24*h**3 - 864*h**2 + 13824*h + 51. Factor d(i).
-(i - 24)**3
Let j(x) be the third derivative of -x**6/360 - x**5/120 + x**4/12 - 14*x**3/3 - 26*x**2. Let h(d) be the first derivative of j(d). Factor h(a).
-(a - 1)*(a + 2)
Let v(f) be the third derivative of 7*f**2 - 1/120*f**5 + 0*f + 0 + 0*f**3 - 1/12*f**4. Solve v(y) = 0.
-4, 0
Let v(j) be the third derivative of -j**8/1848 - j**7/1155 + j**6/330 + j**5/165 - j**4/132 - j**3/33 - j**2 + 31*j. Let v(u) = 0. Calculate u.
-1, 1
Let g(u) be the third derivative of u**7/210 - u**6/120 - u**5/60 + u**4/24 + 179*u**2 + 2*u. Factor g(p).
p*(p - 1)**2*(p + 1)
Let y(l) be the second derivative of 13*l - 7/17*l**5 - 5/51*l**6 + 0*l**2 - 8/51*l**3 + 0 - 22/51*l**4. What is r in y(r) = 0?
-2, -2/5, 0
Let a(p) be the second derivative of p**6/180 - 7*p**5/120 + 11*p**4/72 - 5*p**3/36 + 122*p. Find c, given that a(c) = 0.
0, 1, 5
Let p(f) be the second derivative of f**8/84 - 4*f**7/105 + 2*f**5/15 - f**4/6 - 2*f**2 + 34*f. Let g(c) be the first derivative of p(c). Factor g(o).
4*o*(o - 1)**3*(o + 1)
Let o(a) = a**2 + 1. Let p(b) = -2*b**4 + 14*b**3 - 58*b**2 + 40*b - 38. Let z(u) = 44*o(u) + 2*p(u). Factor z(m).
-4*(m - 2)**3*(m - 1)
Suppose 8*h**5 + 16*h**2 + 49*h**3 - 34*h**4 - 27*h**2 - 21*h**2 + 24*h**2 - 9*h**3 = 0. What is h?
0, 1/4, 2
Suppose -7*u = -6 - 8. Let j(d) be the third derivative of 0*d - 1/105*d**5 + 0 + 3*d**u - 1/84*d**4 + 2/21*d**3 + 1/420*d**6. Factor j(i).
2*(i - 2)*(i - 1)*(i + 1)/7
Let m = -50 + 52. What is y in -19*y**m - 29*y**2 - 19*y**2 + 75*y**4 + 7*y**2 - 40*y + 130*y**3 = 0?
-2, -2/5, 0, 2/3
Let z be 0*(6/(-4) - (-2 + 0)). Suppose 8*c - 27 + 27 = z. Factor 0*n - 2/9*n**3 + c*n**2 + 0.
-2*n**3/9
Suppose 8*a + 24 = 11*a. Suppose 0 = -3*t + 5*z + 6, 5*z + 0 + a = 4*t. Suppose -1/2*n**t - 1/2*n + 0 = 0. Calculate n.
-1, 0
Let c(i) be the first derivative of i**4/8 + 7*i**3/3 + 16*i**2 + 48*i + 59. Solve c(t) = 0.
-6, -4
Let t be (-67)/1*(-12)/15 + 2. Let b = t + -269/5. Factor 6/5 + b*i + 21/5*i**3 - 36/5*i**2.
3*(i - 1)**2*(7*i + 2)/5
Let z(k) be the first derivative of -5*k**4/8 - 15*k**3/2 + 270*k - 375. Determine d so that z(d) = 0.
-6, 3
Let x(s) = s**2 + 2*s - 4. Let d be x(-4). Solve 2*g**2 + 0*g**4 + 3*g**4 + g**3 - 2*g**d - 2*g**4 = 0 for g.
-1, 0, 2
Let n = -10183/3 - -3395. Find g, given that 2/3*g**5 + 2 - 4/3*g**3 + n*g - 4*g**2 + 2*g**4 = 0.
-3, -1, 1
Let z(h) be the second derivative of -h**4/21 + 4*h**3 - 126*h**2 - 20*h - 1. Factor z(d).
-4*(d - 21)**2/7
Let n(s) be the first derivative of s**6/3 - 4*s**5/5 - s**4/2 + 4*s**3/3 - 66. Find h such that n(h) = 0.
-1, 0, 1, 2
Let j(g) be the second derivative of -1/6*g**4 + 0 - 1/40*g**5 - 1/12*g**3 + 22*g + 3/2*g**2. Factor j(v).
-(v - 1)*(v + 2)*(v + 3)/2
Let o(x) = x + 1. Let z(h) = 4*h**2 + 52*h + 48. Let y(s) = -12*o(s) + z(s). Factor y(j).
4*(j + 1)*(j + 9)
Let l(p) = -3*p**4 + 7*p**3 + 9*p**2 - 15*p + 10. Let w(o) = o**3 + 1. Suppose 0 = 4*z - 13 + 29. Let g(h) = z*w(h) + l(h). Factor g(a).
-3*(a - 1)**3*(a + 2)
Let g(s) be the second derivative of -35*s + 9*s**2 + 5/2*s**3 - 1/2*s**4 + 0 - 3/20*s**5. Determine q so that g(q) = 0.
-3, -1, 2
Let u be 91/28 + (108/(-6))/6. Factor 5/4*l**2 + 7/4*l + u*l**3 + 3/4.
(l + 1)**2*(l + 3)/4
Let z(i) = 9 - 1 + 14 - 16 - 9*i**2 + 6*i. Let m(a) = 19*a**2 - 13*a - 11. Suppose 2*s - 7 + 33 = 0. Let c(v) = s*z(v) - 6*m(v). Factor c(d).
3*(d - 2)*(d + 2)
Solve 4*c**5 + 5*c**4 - 128 - 40*c**3 - 288*c + 0*c**4 + 10*c**4 - 3*c**4 - 208*c**2 = 0 for c.
-2, -1, 4
Factor 1/5*p**3 - 41/5*p + 0 - 8*p**2.
p*(p - 41)*(p + 1)/5
Let r = -134 + 66. Let a = 70 + r. Factor 2/3*h**2 + 2*h**3 + 2/3*h**4 - 4/3 - a*h.
2*(h - 1)*(h + 1)**2*(h + 2)/3
Let q be (18/(-72)*8)/(-10). Factor 0*g**2 + 0 - q*g**4 + 0*g + g**3.
-g**3*(g - 5)/5
Let q be (-20)/(-45)*(-1)/(4/(-18)). Suppose 8 + 3 = y. Factor -t**q + 9*t - 1 + 0*t**2 - y*t.
-(t + 1)**2
Let b = -27/4 + 2063/20. Find z, given that 28*z**4 - 5/2*z**5 - b*z**3 + 344/5*z**2 + 128/5 + 544/5*z = 0.
-2/5, 4
Let d be (0 - 0)*(5 - 4). Let o = -482 - -486. Determine r, given that -1/4 + 1/2*r**2 - 1/4*r**o + d*r**3 + 0*r = 0.
-1, 1
Let d(o) be the first derivative of -4*o**3/3 + 476*o**2 - 56644*o + 295. Factor d(s).
-4*(s - 119)**2
Let z(q) be the second derivative of q**5/70 - 25*q**4/42 + 8*q**3/7 - 3*q - 45. Determine a so that z(a) = 0.
0, 1, 24
Let r(x) be the first derivative of x**4/10 + 8*x**3/5 + 29*x**2/5 + 36*x/5 + 35. Solve r(f) = 0.
-9, -2, -1
Let w(k) be the third derivative of 0*k + 7/108*k**4 - 2/9*k**3 + 14*k**2 + 0 - 1/270*k**5. Factor w(c).
-2*(c - 6)*(c - 1)/9
Factor 31*d - 33/2*d**2 + 0 + 1/2*d**3.
d*(d - 31)*(d - 2)/2
Find f, given that 215 - 95 - 10*f**2 + 18*f**2 + 12*f**2 - 485*f = 0.
1/4, 24
Let p(q) be the first derivative of -q**7/126 + q**5/60 + 15*q + 4. Let r(z) be the first derivative of p(z). Determine o, given that r(o) = 0.
-1, 0, 1
Let t = 11/106 + 1363/1166. Determine r, given that 4/11*r - 10/11*r**4 + 0 + 2/11*r**5 + 18/11*r**3 - t*r**2 = 0.
0, 1, 2
Let x(o) be the first derivative of o**6/8 + 87*o**5/20 + 375*o**4/8 + 293*o**3/2 + 1599*o**2/8 + 507*o/4 - 604. Suppose x(u) = 0. What is u?
-13, -1
Let t be (-3 + 1 + 1)/(-3). Let c = -327 - -327. Suppose t*a**2 + c + 0*a = 0. Calculate a.
0
Let f be (-143)/(-13) + (-32)/3. Let p(s) be the first derivative of -1/2*s**4 + 2/3*s**3 + 0*s**2 + 0*s + f*s**6 - 2/5*s**5 + 2. Factor p(q).
2*q**2*(q - 1)**2*(q + 1)
Let l = -1750 - -1755. Let r(z) be the second derivative of 0*z**2 + 7*z + 0*z**4 + 0 + 0*z**3 - 1/210*z**6 - 1/294*z**7 + 0*z**l. Factor r(n).
-n**4*(n + 1)/7
Let u(t) be the first derivative of -27*t**4/14 + 36*t**3 - 252*t**2 + 784*t - 170. Solve u(h) = 0 for h.
14/3
Let w(z) = z**3 - 66*z**2 + 140*z - 736. Let c be w(64). Factor 8*f + 1/2*f**2 + c.
(f + 8)**2/2
Let s(g) be the third derivative of -17*g**2 + 0*g + 1/126*g**7 + 0 + 1/36*g**6 + 5/72*g**4 + 1/18*g**3 + 1/18*g**5 + 1/1008*g**8. Let s(f) = 0. What is f?
-1
Let q = 213270/7 + -30521. Let o = -53 - q. Factor -o*r - 3/7*r**4 + 6/7*r**3 + 0*r**2 + 3/7.
-3*(r - 1)**3*(r + 1)/7
Suppose -11 + 5 = -3*v. Suppose -18*q = -19*q + 3. Factor -3/2*s**v - 3*s + 0 + 3/2*s**4 + 3*s**q.
3*s*(s - 1)*(s + 1)*(s + 2)/2
Let i(y) be the second derivative of y**6/180 + 7*y**5/120 + y**4/6 - y**3/9 - 4*y**2/3 + 35*y. Factor i(q).
(q - 1)*(q + 2)**2*(q + 4)/6
Factor -4/17*f**4 + 2/17*f**5 + 24/17*f**2 + 0 + 72/17*f - 22/17*f**3.
2*f*(f - 3)**2*(f + 2)**2/17
Factor 70 + 5/3*q**3 + 205/3*q + 20*q**2.
5*(q + 2)*(q + 3)*(q + 7)/3
Factor 648/13 + 76/13*z**3 + 794/13*z**2 + 1368/13*z + 2/13*z**4.
2*(z + 1)**2*(z + 18)**2/13
Let u = 27359/5 + -5471. Factor 0*k + u*k**2 - 2/5 - 2/5*k**4 + 0*k**3.
-2*(k - 1)**2*(k + 1)**2/5
Let m(q) = 7*q**3 - 19*q**2 - 13*q. Let i(o) = 2*o**3 - 6*o**2 - 4*o. Let c(d) = -13*i(d) + 4*m(d). Solve c(w) = 0.
-1, 0
Let y(d) = -d + 1. Let k(v) = 6*v**2 + 6*v**2 + 4*v - 13*v**2 - 3. Let n be (-5)/4 + 4/16. Let f(z) = n*k(z) - 2*y(z). Determine a so that f(a) = 0.
1
Let g(n) be the first derivative of -n**5/20 + 9*n**4/16 - 2*n**3 + 5*n**2/2 + 64. Factor g(w).
-w*(w - 5)*(w - 2)**2/4
Factor -6/5*j**3 - 12*j - 38/5*j**2 - 16/5.
-2*(j + 2)*(j + 4)*(3*j + 1)/5
Let x(q) = -2*q**2 - 44*q - 3. Let y(l) = l**2 + 44*l + 2. Let f(t) = -2*x(t) - 3*y(t). Solve f(c) = 0.
0, 44
Let b(r) be the third derivative of r**7/140 - 7*r**6/40 + 9*r**5/5 - 10*r**4 + 32*r**3 + 35*r**2 - 2. Find w such that b(w) = 0.
2, 4
Let q = 945/22 - 456/11. Let t(p) be the second derivative of 1/10*p**6 + 3/10*p**5 + 0*p**4 + 0 - q*p**2 - p**3 + 5*p. Factor t(v).
3*(v - 1)*(v + 1)**3
Let c = 320 + -317. Let v(h) be the first derivative of 4/3*h**c - 7/2*h**4 + h**2 + 8/5*h**5 + 0*h + 7. Factor v(k).
2*k*(k - 1)**2*(4*k + 1)
Let p(d) be the first derivative of -2*d**2 - 53 + 0*d + 4/3*d**3. Find l, given that p(l) 