5 = -4*y, -y + 2*y = 5*t - 15. Factor -19*x**4 + 5*x**o - y*x**3 + 12*x**4 + 12*x**4.
5*x**2*(x - 1)**2
Let j(b) be the third derivative of -b**6/300 - b**5/75 + 7*b**4/60 - 4*b**3/15 + 27*b**2 - b. Factor j(a).
-2*(a - 1)**2*(a + 4)/5
Suppose -5*c - 7*l + 2*l - 10 = 0, c - 6 = l. Suppose h = 2*o - o - 6, 5*h = c*o - 21. Factor -s**2 - 9*s**4 - 4*s**3 - s**5 - 3*s**5 - 6*s**3 + 4*s**o.
-s**2*(s + 1)**2*(4*s + 1)
Suppose 15*c**3 - 30*c + 15*c**4 - 4143 - 35*c**2 - 5*c**5 + 4143 = 0. What is c?
-1, 0, 2, 3
Suppose 3*q - 22 + 16 = 0. Suppose 10*p = q*p. Factor 0*i + 0 + p*i**2 + 2/7*i**3 + 2/7*i**4.
2*i**3*(i + 1)/7
Let k(r) = 1. Let b(u) = 2*u - 14. Let t(w) = -b(w) - k(w). Let h be t(-7). Factor 2*x**2 - 29*x**3 + 0*x**2 + h*x**3.
-2*x**2*(x - 1)
Let n be (-248)/36 - 4 - (-54 + 43). Factor -n*g**4 - 8/3*g**2 + 32/9*g + 8/9*g**3 - 16/9.
-(g - 2)**4/9
Let x = 5256 - 26496/5. Let y = -43 - x. Suppose -y*l**2 - 4/5 + 4/5*l = 0. What is l?
2
Let a(u) = 9*u**3 + 3*u**2 + 9*u. Let x(l) = -20*l**3 - 4*l**2 - 18*l + 1. Let z(p) = 7*a(p) + 3*x(p). What is f in z(f) = 0?
-1
Let n = -1189567/18 + 66139. Let w = n - 103/9. Factor 2 + w*q**2 + 18*q.
(9*q + 2)**2/2
Let o = -749/2 + 379. Factor -6*z**2 - 1 + o*z + 2*z**3.
(z - 2)*(2*z - 1)**2/2
Let j(q) = -q**5 + q**4. Let r(p) = 15*p**5 + 21*p**4 - 9*p**3 - 15*p**2 + 6*p. Let z(u) = -3*j(u) - r(u). Find i, given that z(i) = 0.
-2, -1, 0, 1/2
Let b(n) = 8*n - 8. Let c be b(-13). Let g be 10/(-8) + 1 - 56/c. Factor -h - 1 - g*h**2.
-(h + 2)**2/4
Let r(j) = -j**3 + 7*j**2 + 10*j - 11. Let u be r(8). Suppose z + z = a + 4, -u*a + 5*z = -5. Factor 4*d - 28 - 22*d - a*d - 3*d**2 - 20.
-3*(d + 4)**2
Let n(q) be the first derivative of 3*q**5/5 + 39*q**4/2 - 183*q**3 + 426*q**2 - 384*q - 615. Suppose n(f) = 0. Calculate f.
-32, 1, 4
Let d = 281 - 26. Let m = 511/2 - d. Factor -3/2*g**2 - 2*g**3 + 0*g + 0 - m*g**4.
-g**2*(g + 1)*(g + 3)/2
Suppose -21/2*j**2 - 15*j - 3/2*j**3 + 0 = 0. Calculate j.
-5, -2, 0
Let z(v) be the third derivative of -9*v**5/25 - 3*v**4/10 - v**3/10 + 10*v**2 - 4*v. Solve z(d) = 0.
-1/6
Let d = 89 - 177/2. Let y(j) be the second derivative of 0*j**3 + 4*j - d*j**2 + 0 + 1/48*j**4. Suppose y(c) = 0. Calculate c.
-2, 2
Let d = 11584/9 + -1280. Suppose -4/9*g**2 - 32/9*g - d = 0. Calculate g.
-4
Suppose 15*r + 0*r**2 - 3/4*r**4 - 15/4*r**3 + 12 = 0. Calculate r.
-4, -2, -1, 2
Let t(d) be the first derivative of 3*d**6/10 - 3*d**5/25 - 51*d**4/20 - 19*d**3/5 - 9*d**2/5 + 20. Let t(z) = 0. Calculate z.
-1, -2/3, 0, 3
Suppose -2*k - 80*v = -75*v + 11, -4*v = 12. Suppose -3*i + i = 0. Factor i - 1/4*j**3 + 1/4*j + 1/4*j**k - 1/4*j**4.
-j*(j - 1)*(j + 1)**2/4
Suppose 2*g + 6 = 3*m, -5*g + 3*m + 3 = -0*m. Determine i, given that 9/2 + 1/2*i**2 - g*i = 0.
3
Let h(d) be the first derivative of -8*d**5/25 - 3*d**4/20 + 8*d**3/5 - 7*d**2/10 - 6*d/5 + 174. Suppose h(i) = 0. What is i?
-2, -3/8, 1
Let d(p) be the third derivative of p**6/540 - 7*p**5/270 - 2*p**2 + 112*p. Factor d(g).
2*g**2*(g - 7)/9
Solve 24*u + 8/5*u**5 - 208/5*u**2 - 2/5*u**3 + 0 + 82/5*u**4 = 0.
-10, -2, 0, 3/4, 1
Suppose -112*d - 155 = -491. Let b(j) be the second derivative of 8*j**2 + 8/3*j**d + 1/3*j**4 + 0 - 4*j. Factor b(k).
4*(k + 2)**2
Let x(t) be the third derivative of -t**7/140 - t**6/10 - 3*t**5/8 + 6*t**2 - 3*t. Factor x(o).
-3*o**2*(o + 3)*(o + 5)/2
Let b(x) be the first derivative of -1/300*x**5 + 0*x**3 + 5/2*x**2 - 1/120*x**4 + 7 + 0*x. Let v(q) be the second derivative of b(q). Solve v(g) = 0.
-1, 0
Suppose 42/11*w**4 + 0 + 4/11*w**3 - 42/11*w**2 - 4/11*w = 0. Calculate w.
-1, -2/21, 0, 1
Determine s, given that 4/3*s + 0*s**2 + 8/9 - 4/9*s**3 = 0.
-1, 2
Let u(i) be the first derivative of i**4/4 - 37*i**3/3 - 59*i**2 - 80*i - 818. Factor u(q).
(q - 40)*(q + 1)*(q + 2)
Let m = -1/56 + 323/56. Let d = 6 - m. Factor -1/4*b**4 + 0*b + 1/4*b**3 + 1/4*b**2 - d*b**5 + 0.
-b**2*(b - 1)*(b + 1)**2/4
Let y = 29 + -24. Let h(t) be the first derivative of 1/3*t**3 - 1/6*t**2 + 0*t + 2 - 1/4*t**4 + 1/15*t**y. Determine d, given that h(d) = 0.
0, 1
Determine y, given that 8 - 3*y**5 - 17*y**3 + 27*y + 4 - 13*y**4 + 6*y**2 - 7*y**3 - 5*y**4 = 0.
-4, -1, 1
Let o(z) be the first derivative of z**5/270 - z**4/54 - z**3/9 - 5*z**2 + 8. Let a(v) be the second derivative of o(v). Find n, given that a(n) = 0.
-1, 3
Factor 4*g**2 + 76*g + 66*g - 8*g**2 - 138*g.
-4*g*(g - 1)
Let k = 6556/48945 - 2/3263. Determine q so that 4/15*q - 4/15*q**3 + 2/15*q**4 + 0*q**2 - k = 0.
-1, 1
Let g(c) = 5*c**2 - 57*c + 58. Let i(u) = -22*u**2 + 227*u - 232. Let d(p) = -9*g(p) - 2*i(p). Let d(x) = 0. Calculate x.
1, 58
Let a be 1 + 1 + (-6130)/25. Let y = 244 + a. Suppose 0 + 12/5*h - 16/5*h**2 + y*h**3 = 0. Calculate h.
0, 1, 3
Let v(b) = 30*b**3 - 335*b**2 + 810*b + 25. Let j(y) = 5*y**3 - 56*y**2 + 135*y + 4. Let h(f) = 25*j(f) - 4*v(f). Determine w so that h(w) = 0.
0, 3, 9
Let p be (2/34)/(252/4680). Let b = -4/17 + p. Solve -b + 6/7*u**2 + 3*u - 3*u**3 = 0.
-1, 2/7, 1
What is p in 18*p**2 + 3*p**3 + 653 + 9*p - 1360 + 677 = 0?
-5, -2, 1
Let n(s) be the third derivative of -7*s**2 - 1/12*s**4 + 0*s + 1/30*s**5 + 0*s**3 + 0. Factor n(d).
2*d*(d - 1)
Let u = 13 - 9. Determine m, given that 6*m**4 + 4*m**4 - 20*m**3 + 2 - 12*m**5 + 6*m**5 + 20*m**2 + u*m**5 - 10*m = 0.
1
Let r(p) be the first derivative of -9 - 12/5*p**5 - 9*p**2 - 4*p - 1/3*p**6 - 32/3*p**3 - 7*p**4. Factor r(i).
-2*(i + 1)**4*(i + 2)
Let o be 12 - 21 - (-561)/27. Let 2/3*i + 8*i**2 - 56/3*i**4 - 4/9 - o*i**3 = 0. What is i?
-1, -1/4, 2/7, 1/3
Find a such that 0 - 1/10*a**4 + 1/10*a**3 - 1/10*a + 1/10*a**2 = 0.
-1, 0, 1
Suppose 0 = 2*d - 8 - 0, m - 3*d + 12 = 0. Let c(b) be the second derivative of m*b**2 + 0 - 1/15*b**3 - 5*b + 1/30*b**4. Factor c(f).
2*f*(f - 1)/5
Suppose 4*r - 4*s - 888 = -0*s, -2*r - 5*s = -444. Let a = -658/3 + r. Determine n so that -34/3*n**3 + a + 6*n**5 + 16/3*n - 14/3*n**2 + 2*n**4 = 0.
-1, -2/3, 1
Suppose 3*p - 5122*a = -5124*a + 12, 0 = p + 4*a - 24. Let -34/19*m**3 + 6/19*m**4 + 20/19*m**2 + 0*m + p = 0. Calculate m.
0, 2/3, 5
Let l be (-11055)/(-5610) - (-3)/(-2). Suppose 6/17*s**4 - 24/17*s**2 + 2*s**3 + 0 - 8/17*s**5 - l*s = 0. Calculate s.
-2, -1/4, 0, 1, 2
Let z(v) be the first derivative of 2*v**3/9 + 40*v**2/3 - 120. Find f, given that z(f) = 0.
-40, 0
Let k = 983/658 - -2/329. Factor -1/2*j**5 + 0 - 1/2*j**2 + 0*j - k*j**4 - 3/2*j**3.
-j**2*(j + 1)**3/2
Let x = -1/2033 - -4071/10165. Factor 4/5*j**4 + 0 + 2/5*j - 4/5*j**2 + 0*j**3 - x*j**5.
-2*j*(j - 1)**3*(j + 1)/5
Suppose 3*c + 5*s = 7, -3 + 2 = s. Let f(i) be the second derivative of 0*i**2 - 1/12*i**3 + 4*i + 0 + 1/48*i**c. Solve f(p) = 0 for p.
0, 2
Let d(w) be the second derivative of w**4/42 + 10*w**3/21 + 9*w**2/7 + 166*w. Find s such that d(s) = 0.
-9, -1
Let r(s) be the second derivative of 1/27*s**3 + 3/2*s**2 + 1/540*s**6 + 4*s + 1/36*s**4 + 1/90*s**5 + 0. Let q(c) be the first derivative of r(c). Factor q(t).
2*(t + 1)**3/9
Suppose 128*j - 14*j - 256 + 40 - 3*j**2 = 0. What is j?
2, 36
Let y = -17315/36 + 481. Let a(j) be the second derivative of 1/18*j**3 - y*j**4 + 0*j**2 + 3*j + 0. Determine s, given that a(s) = 0.
0, 1
Let p(v) = 2*v**3 - v**2 + 2*v - 1. Let c be p(1). Suppose -120*w**3 - 5*w**5 + 125*w + 24*w**2 + 50*w**4 - 46*w**c - 28*w**2 = 0. What is w?
-1, 0, 1, 5
Let i(b) = b**2 + 8*b - 48. Let g be i(4). Factor g*w + 0 - 1/5*w**2.
-w**2/5
Factor -46/17 + 2/17*f**2 + 44/17*f.
2*(f - 1)*(f + 23)/17
Factor 4*t**3 - 24*t - 186*t**2 - 43*t**2 - 37*t - 115*t + 57*t**2.
4*t*(t - 44)*(t + 1)
Let n = -6741533895/847 + 7959313. Let h = n + 20/121. Suppose -12/7 - 9/7*f**2 - 15/7*f**3 + h*f = 0. Calculate f.
-2, 2/5, 1
Factor -30*r**3 + 3 + 5*r**4 - 64*r**2 - 20*r - 2 + 109*r**2 - 1.
5*r*(r - 4)*(r - 1)**2
Factor -31*d**2 - 5*d + 29*d**3 - 13*d**4 - 28*d**4 + 37*d**4 + 7*d + 4*d.
-d*(d - 6)*(d - 1)*(4*d - 1)
Let n(z) be the third derivative of 0 - 1/30*z**6 + 0*z - 56*z**2 + 0*z**3 + 1/15*z**5 + 2/315*z**7 - 1/18*z**4. Factor n(r).
4*r*(r - 1)**3/3
Let y(a) = a**3 - 22*a**2 + 100*a + 288. Let r(g) = -g**3 + 22*g**2 - 101*g - 288. Let h(d) = 4*r(d) + 5*y(d). Let h(f) = 0. Calculate f.
-2, 12
Let n = 95060 + -17966279/189. Let q = n - 1/27. Find p, given that 2/7*p + 0 + q*p**2 = 0.
-