*4 + 0.
-t*(t - 2)**2*(t + 1)**2/5
Let y(d) be the second derivative of 2*d**7/21 - 4*d**6/15 - 2*d**5/5 + 8*d**4/3 - 14*d**3/3 + 4*d**2 + 2*d + 71. Factor y(q).
4*(q - 1)**4*(q + 2)
Solve 11*r**4 - 3*r**4 - 186 + 556*r - 725*r**2 + 173*r**2 + 180*r**3 - 6*r**4 = 0.
-93, 1
Let y(a) be the first derivative of 0*a**2 + 75/4*a**4 - 15*a**3 - 7*a**5 + 0*a - 12 + 5/6*a**6. Solve y(r) = 0.
0, 1, 3
Suppose -11*y + 8*y = -54. Let o = 20 - y. Find d, given that 0*d + d + 18 - 13*d + o*d**2 = 0.
3
Let c(q) be the second derivative of -q**7/273 - 7*q**6/195 - 17*q**5/130 - 17*q**4/78 - 2*q**3/13 + 82*q. Find a such that c(a) = 0.
-3, -2, -1, 0
Let f = -11 - -13. Factor 8*m**2 - 6*m**4 + 4*m**5 - 7*m**3 + 3*m**3 - f + 0.
2*(m - 1)**3*(m + 1)*(2*m + 1)
Let w(n) be the third derivative of -13*n**2 + 7/60*n**6 + 49/60*n**5 + 0*n**3 + 0*n**4 + 1/210*n**7 + 0*n + 0. Determine q, given that w(q) = 0.
-7, 0
Let -27/4 - 1/4*x**2 - 7*x = 0. What is x?
-27, -1
Let k(t) be the first derivative of 9/5*t**5 + 2 + 3*t**2 + 0*t + 3*t**3 - 6*t**4. Determine u, given that k(u) = 0.
-1/3, 0, 1, 2
Solve 80*d + 5/4*d**5 - 64 + 17*d**4 + 164*d**2 + 83*d**3 = 0.
-4, -2, 2/5
Factor 38/3*w + 32/9*w**2 + 0 - 2/9*w**3.
-2*w*(w - 19)*(w + 3)/9
Let j(b) be the second derivative of -3*b**5/110 + 7*b**4/22 + 14*b**3/11 - 144*b**2/11 - 51*b. Factor j(w).
-6*(w - 8)*(w - 2)*(w + 3)/11
Let s(r) be the second derivative of r**6/80 + 3*r**5/160 - r**4/16 - 5*r. Solve s(y) = 0 for y.
-2, 0, 1
Let q = -46 - -50. Factor 2*a**4 + 11 + a + 7*a - 3 - 6*a**2 - q*a**3.
2*(a - 2)**2*(a + 1)**2
Let r(m) = -39*m**2 + 34*m + 15. Let f(g) = -20*g**2 + 16*g + 8. Let z(x) = -5*f(x) + 2*r(x). What is p in z(p) = 0?
-5/11, 1
Suppose -53*g + 75*g - 8*g**5 - 20*g - 18*g**3 - 22*g**4 - 2*g**2 = 0. What is g?
-1, 0, 1/4
Let x be (8160/(-45))/(-16) - 9. Factor 8/3 + k**4 + 4*k - x*k**3 - 2*k**2.
(k - 2)**2*(k + 1)*(3*k + 2)/3
Let f(i) = -i**3 - 32*i**2 - 61*i - 30. Let a be f(-30). Determine l so that 0*l**2 + a + 1/8*l**3 - 1/2*l = 0.
-2, 0, 2
Let k(l) be the first derivative of -3*l**4/4 - 4*l**3 - 3*l**2/2 + 18*l + 361. What is d in k(d) = 0?
-3, -2, 1
Let l(n) be the third derivative of n**5/15 + 8*n**4/3 + 128*n**3/3 + 2*n**2 + 8*n. Suppose l(p) = 0. What is p?
-8
Let m(p) = -p**2 - 41*p - 78. Let n be m(-39). Find l such that n*l - 4/5*l**5 - 12/5*l**4 - 8/5*l**3 + 0 + 0*l**2 = 0.
-2, -1, 0
Let b = 870 - 7820/9. Factor 2/3*l**5 + 0*l + 2/9*l**2 + b*l**3 + 14/9*l**4 + 0.
2*l**2*(l + 1)**2*(3*l + 1)/9
Let j(s) be the third derivative of 1/4*s**4 - 1/112*s**8 + 0 - 3*s**2 - 3/20*s**5 + 0*s**3 + 0*s - 1/40*s**6 + 3/70*s**7. What is i in j(i) = 0?
-1, 0, 1, 2
Factor -1/3*d**3 + d**4 + 0 - 8*d**2 + 0*d.
d**2*(d - 3)*(3*d + 8)/3
Let i(z) = z**2 + 192*z - 2020. Let l be i(10). Determine a so that -8/11*a**5 - 8/11*a - 42/11*a**4 - 74/11*a**3 + l - 48/11*a**2 = 0.
-2, -1, -1/4, 0
Suppose 0 = -u - 2*d - 12 + 29, 3*u + d - 51 = 0. What is a in -372*a**2 - 89*a**3 + 402*a**2 - 3*a + u*a**3 = 0?
0, 1/6, 1/4
Let f = 3 + 3. Suppose -4*x = -3*j + f + 3, -x - 12 = -4*j. What is l in x*l - 4*l + 1 + 0*l**2 + 2*l**2 + 1 = 0?
1
Let l(p) = -9*p**2 + 9*p + 6. Let r(b) = 16*b**2 - 19*b - 13. Let g(a) = 11*l(a) + 6*r(a). Solve g(x) = 0.
-4, -1
Let o = -3597/2 + 1801. Factor 5/2*r**3 + 5*r**2 - o*r - 5.
5*(r - 1)*(r + 1)*(r + 2)/2
Let x = 97444/7 + -13920. Find a, given that -x - 4/7*a**2 + 8/7*a = 0.
1
Let r(a) be the second derivative of 1/33*a**3 + 1/33*a**4 + 0*a**2 + 1/110*a**5 + 0 - 14*a. What is p in r(p) = 0?
-1, 0
Let j(z) be the second derivative of z**5/60 + z**4/9 - z**3/6 - 3*z**2 + 12*z + 4. Suppose j(t) = 0. What is t?
-3, 2
Let h = 0 - -4. Let u = 4 + 1. Factor -u*y**2 + y - 5*y - 5*y**2 + 2*y**4 + h*y**2.
2*y*(y - 2)*(y + 1)**2
Let j(v) = v**2 + 3*v - 1. Let p be j(-4). Let y be 3 + (3/p - 2). Factor -17 + 17 - 6*a**y + 3*a**2 - 6*a.
-3*a*(a + 2)
Let u(h) be the first derivative of -2*h**5/35 - h**4/14 - 235. Find c such that u(c) = 0.
-1, 0
Let j(x) be the second derivative of x**7/49 - 8*x**6/105 - 2*x**5/35 + 8*x**4/21 - 114*x - 1. Determine c so that j(c) = 0.
-4/3, 0, 2
Let m(a) = -14*a**2 - 126*a - 228. Let d(n) = -9*n**2 - 84*n - 152. Let x(c) = -8*d(c) + 5*m(c). Solve x(z) = 0 for z.
-19, -2
Suppose -16*x = -8*x - 24. Let q(y) be the first derivative of -6/5*y**5 - 4 + 9*y**2 + 11/2*y**4 - 4*y - 10*y**x. Factor q(b).
-2*(b - 1)**3*(3*b - 2)
Let s = -220717/5 + 44145. Factor -2/5*k**2 - 6/5 - s*k.
-2*(k + 1)*(k + 3)/5
Let y(o) = -8*o**2 - 222*o + 275. Let r(h) = 2*h**2 + 56*h - 68. Let t(x) = -9*r(x) - 2*y(x). Determine i, given that t(i) = 0.
-31, 1
Let g(b) be the third derivative of b**5/48 + 5*b**4/96 + b**2 + 25*b. Factor g(x).
5*x*(x + 1)/4
Let x(a) = -28*a + 8. Let y be x(-2). Solve -2*l**2 + 4*l + y*l**4 + 190*l**3 - 94*l**3 + 38*l**2 = 0.
-1, -1/4, 0
Find t, given that -3/5*t**3 - 9*t**2 + 3/5*t + 9 = 0.
-15, -1, 1
Let a(z) be the third derivative of 2*z**7/105 + z**6/30 - z**5/5 - z**4/6 + 4*z**3/3 - 83*z**2. Determine b so that a(b) = 0.
-2, -1, 1
Let y(i) be the first derivative of 2*i**5/35 + 4*i**4/7 + 10*i**3/7 - 8*i**2/7 - 32*i/7 - 519. Factor y(d).
2*(d - 1)*(d + 1)*(d + 4)**2/7
Let t(y) be the second derivative of -1/25*y**5 + 0 + 3/2*y**2 + 1/5*y**3 - 7/40*y**4 - 4*y. Let s(k) be the first derivative of t(k). Factor s(i).
-3*(i + 2)*(4*i - 1)/5
Let o(i) be the third derivative of -1/2*i**4 - 2/9*i**3 + i**2 + 0*i - 9/20*i**5 + 0. Factor o(q).
-(9*q + 2)**2/3
Let -48/5 - 18/5*b + 3/5*b**2 = 0. Calculate b.
-2, 8
Let -1/3*y**3 + 7/3*y - 2*y**2 + 0 = 0. What is y?
-7, 0, 1
Let g(c) be the second derivative of c**4/12 + 4*c**3/3 + 6*c**2 - 94*c. Find i, given that g(i) = 0.
-6, -2
Let w be 7 - -187 - (3 + -1)*-2. Let r = 202 - w. Determine n so that -1/3*n + 1/3*n**5 + 2/3*n**2 - 2/3*n**r + 0*n**3 + 0 = 0.
-1, 0, 1
Let h be (-12)/(-10)*(-15)/(-9). Let d(o) be the third derivative of 0 + 0*o**3 + 0*o - 8*o**h - 1/48*o**4 - 1/240*o**5. Factor d(y).
-y*(y + 2)/4
Let d(b) = -b**2 - 6*b + 10. Let f be (-54)/8 - (-3)/(-12). Let h be d(f). Determine u so that 2*u**3 - 5*u**3 - 4*u + 7*u + 3 - h*u**2 = 0.
-1, 1
Let c(t) = -3*t - 10. Let o be c(-4). Suppose 4*m**o + 6*m + 2*m**3 + m**5 + 4*m**4 - 2*m - 5*m**3 - 6*m**4 = 0. Calculate m.
-1, 0, 2
Let j(g) be the second derivative of 0 + g**2 + 7/6*g**3 - 3/4*g**4 + 4*g. Factor j(n).
-(n - 1)*(9*n + 2)
Let u(c) be the third derivative of -12*c**2 + 0*c + 1/40*c**6 - 1/2*c**3 - 7/40*c**5 + 0 + 7/16*c**4. What is n in u(n) = 0?
1/2, 1, 2
Let t = -2607 - -2610. Let l(f) be the second derivative of -1/7*f**2 + 0*f**5 - 1/105*f**6 + 0 + 1/21*f**4 + 0*f**t - 5*f. Factor l(z).
-2*(z - 1)**2*(z + 1)**2/7
Let o(a) be the first derivative of a**5/10 - 3*a**4/8 - 3*a**3/2 - 5*a**2/4 + 378. Let o(g) = 0. What is g?
-1, 0, 5
Let u(g) = 4*g + 134. Let n be u(-33). Let y(d) be the first derivative of 0*d**3 - 9/10*d**n - 6/5*d + 6 + 3/20*d**4. What is z in y(z) = 0?
-1, 2
Let d be 6/(-27) - (-58)/18. Let g(z) be the second derivative of -1/16*z**4 - 1/24*z**d + 1/120*z**6 + 0 + 1/80*z**5 + 1/4*z**2 - 2*z. Factor g(o).
(o - 1)**2*(o + 1)*(o + 2)/4
What is g in 3*g**5 - 27/4*g**4 - 3/2*g + 0 + 27/4*g**2 - 3/2*g**3 = 0?
-1, 0, 1/4, 1, 2
Let v be (1*2/25)/(-10*7/(-175)). Let 6/5 - 1/5*p**2 + v*p = 0. What is p?
-2, 3
Solve -651*v**2 + 20*v**3 - 178 - 669*v**2 - 1335*v - 157 = 0 for v.
-1/2, 67
Let n(t) be the third derivative of t**5/78 - 3*t**4/52 + 4*t**3/39 - 461*t**2. Let n(l) = 0. What is l?
4/5, 1
Let d(n) = -4*n**5 - 7*n**4 + 13*n**3 - 2*n**2 - 9*n - 9. Let x(k) = k**4 - k**3 + k + 1. Let o(j) = 2*d(j) + 18*x(j). Determine q so that o(q) = 0.
-1, 0, 1/2, 1
Factor 1079*w**2 + 1081*w**2 + 6 - 2161*w**2 - 5*w.
-(w - 1)*(w + 6)
Let b be (1 - -1) + 0/17. Suppose -2 + 3*u**2 + b - 11*u - u = 0. Calculate u.
0, 4
Let d be 12/96 - (-7)/(-56). Let j(o) be the third derivative of 1/15*o**5 + d - o**2 + 0*o**3 + 1/6*o**4 + 0*o. Factor j(i).
4*i*(i + 1)
Suppose 59*s = -40*s + 495. Let z(b) be the third derivative of 1/24*b**4 + 0*b + 1/12*b**3 + s*b**2 + 0 + 1/120*b**5. Factor z(p).
(p + 1)**2/2
What is m in 9*m**2 - 15*m - 5*m**5 + 220*m**3 - 10 + m**2 - 200*m**3 = 0?
-1, 1, 2
Let c = 39 - 31. Factor 8*h**2 - c*h + 17*h**5 - 8*h**4 + 6*h**3 + 18*h**5 - 33*h**5.
2*h*(h - 