 p*x**2 - 3*x.
-(x + 1)**2*(4*x + 1)/2
Let u(v) be the third derivative of -v**8/12600 + v**7/3780 - v**6/5400 - v**4/8 + 3*v**2. Let a(o) be the second derivative of u(o). Factor a(l).
-2*l*(l - 1)*(4*l - 1)/15
Let i(c) be the first derivative of -16 - 17/19*c**2 - 10/57*c**3 - 12/19*c. Factor i(z).
-2*(z + 3)*(5*z + 2)/19
Let i(j) be the second derivative of 14*j**6/75 - 53*j**5/100 + 11*j**4/30 + j**3/10 - 586*j. What is z in i(z) = 0?
-3/28, 0, 1
Suppose 4*i + 230 = 3*k, 304 = 4*k - 5*i + i. Solve 5*z - z - 4*z**3 - 94 + 20*z**2 + k = 0.
-1, 1, 5
Let u(n) be the second derivative of n**5 + 0 + 5/42*n**7 - 2/3*n**6 + 5*n**2 - 25/6*n**3 + 2*n + 5/6*n**4. Factor u(g).
5*(g - 2)*(g - 1)**3*(g + 1)
Let u(n) be the first derivative of 5*n**3/3 + 465*n**2 + 43245*n + 683. Find b, given that u(b) = 0.
-93
Factor 2/17*o**3 + 0 + 16/17*o + 2/17*o**4 - 20/17*o**2.
2*o*(o - 2)*(o - 1)*(o + 4)/17
Let i(g) = -g**2 - 14*g + 12. Let k(t) be the second derivative of -t**4/12 + 2*t. Let p(n) = 2*i(n) - 6*k(n). Factor p(q).
4*(q - 6)*(q - 1)
Let v = -94 - -62. Let h be ((-9)/(-12))/(44/v + 4). Determine w, given that 2/7*w - 2/7*w**3 - 2/7*w**2 + h = 0.
-1, 1
Suppose 4*g - 16 + 8 = 2*k, -5*g = -5*k - 20. Suppose -2 - 13 = -5*m. Solve 2/3*q**m + g*q**2 + 0 - 2/3*q = 0 for q.
-1, 0, 1
Let l(v) be the third derivative of -v**6/720 - 31*v**5/360 - 35*v**4/18 - 49*v**3/3 - v**2 + 44. Factor l(r).
-(r + 3)*(r + 14)**2/6
Find q such that 7/6 + 4/3*q + 1/6*q**2 = 0.
-7, -1
Let v = 18 - 18. Let b be v/((-12)/(-4)) - -3. Suppose -5*y + b*y - 3*y**2 + 2*y + 3*y = 0. Calculate y.
0, 1
Factor 10/3*d - 1/3*d**2 + 11/3.
-(d - 11)*(d + 1)/3
Let r = 9381 + -37523/4. Factor r*f**2 + f + 1.
(f + 2)**2/4
Let k = 22 + -21. Factor -15*a + 2*a**2 - a**2 + a**3 + 14*a - k.
(a - 1)*(a + 1)**2
Let b(t) be the third derivative of t**8/7560 - t**7/3780 - t**6/810 - t**3 + 13*t**2. Let x(k) be the first derivative of b(k). Find u such that x(u) = 0.
-1, 0, 2
Let h(o) = -5*o**4 - 5*o**3 - 2*o**2 + 12. Let j(p) = -p**4 + p**2 - p + 1. Let y(a) = -h(a) + 4*j(a). What is z in y(z) = 0?
-2, 1
Let c(d) = -4*d**4 - 12*d**3 - 20*d**2 + 4*d - 8. Let y(v) be the first derivative of v**3/3 - v**2/2 + v + 1. Let n(l) = c(l) + 8*y(l). Factor n(w).
-4*w*(w + 1)**3
Let o(f) be the second derivative of 11/2*f**5 - 4*f**6 + 5/6*f**3 + 9*f + 15/14*f**7 - 10/3*f**4 + 0 + 0*f**2. Determine d, given that o(d) = 0.
0, 1/3, 1
Let u(p) be the first derivative of -32/15*p**3 + 20 - 4/5*p**4 - 2/25*p**5 + 0*p + 0*p**2. Factor u(i).
-2*i**2*(i + 4)**2/5
Let l(q) be the first derivative of -q**6/40 - q**5/20 + q**4/8 + q**3/2 + 27*q**2/2 - 29. Let i(p) be the second derivative of l(p). Factor i(b).
-3*(b - 1)*(b + 1)**2
Solve -155*b + 19*b - 4206*b**3 + 4210*b**3 - 16*b - 148*b**2 = 0.
-1, 0, 38
Let n be (-1)/2 - (-385)/630. Let i(p) be the third derivative of 1/360*p**5 + 0 - 5/144*p**4 - 3*p**2 + n*p**3 + 0*p. Factor i(d).
(d - 4)*(d - 1)/6
Factor 38*g + 6 + 110/3*g**2 - 242/3*g**3.
-2*(g - 1)*(11*g + 3)**2/3
Let t(c) be the third derivative of 0*c**3 - 1/12*c**4 + 0 + 0*c + 1/15*c**6 + 1/60*c**5 - c**2 + 1/42*c**7. Let t(g) = 0. Calculate g.
-1, 0, 2/5
Let o = -66 - -168. Let a be (o/(-136))/(6/8 - 1). Factor 0*p**2 - 6/5*p**4 + 0 + 0*p - 4/5*p**a - 2/5*p**5.
-2*p**3*(p + 1)*(p + 2)/5
Suppose -2*r - 5*i = 3*r - 15, 4*r + i - 15 = 0. Let o(k) be the first derivative of 0*k + r + 2/27*k**3 + 1/9*k**2. Factor o(l).
2*l*(l + 1)/9
Suppose -36 = 5*u - 2*q, 4*u + u + 27 = -q. Let r(l) = 2*l**4 + 10*l**3 - 6*l**2. Let g(z) = 3*z**4 + 11*z**3 - 7*z**2. Let c(a) = u*g(a) + 7*r(a). Factor c(n).
-4*n**3*(n - 1)
Let d(j) be the first derivative of j**3 - 21*j**2 - 15. Factor d(k).
3*k*(k - 14)
Let r(k) = -1. Let t(s) = -s**2 + s - 1. Let n(w) = -w**2 - w + 5. Let c be n(-3). Let u(b) = c*r(b) + t(b). Find x such that u(x) = 0.
0, 1
Suppose 10*n - 27 - 13 = 0. Let 5*f**2 - 2*f**2 + 6*f**4 + 7*f**4 - 16*f**n = 0. Calculate f.
-1, 0, 1
Let l(t) be the first derivative of t**5/20 - 9*t**4/16 + 29*t**3/12 - 39*t**2/8 + 9*t/2 - 84. Let l(b) = 0. What is b?
1, 2, 3
Suppose 476 - 3*x**2 - x**2 + 2494*x - 2966*x = 0. What is x?
-119, 1
Let p be (-154)/56 + (0 - -2) + 1. Let b = 3/62 - -25/124. Suppose -p*j**3 + 0 + 0*j - b*j**2 = 0. What is j?
-1, 0
Let s(k) be the third derivative of 0*k - 1/105*k**5 - 4/21*k**3 + 1/14*k**4 + 0 + 10*k**2. What is g in s(g) = 0?
1, 2
Let l(b) = 3*b**2 + 15*b - 54. Let t(f) = f - 3. Let z(q) = -l(q) + 18*t(q). Factor z(m).
-3*m*(m - 1)
Let f(c) be the second derivative of c**5/50 + 7*c**4/30 - 7*c**3/5 - 27*c**2/5 - c - 14. Suppose f(d) = 0. What is d?
-9, -1, 3
Let m(c) be the second derivative of c**4/15 + 26*c**3/15 + 24*c**2/5 + 2*c - 30. Determine h so that m(h) = 0.
-12, -1
Let c(v) be the third derivative of v**6/30 + 22*v**5/15 + 16*v**4 - 192*v**3 - 184*v**2 + v. Factor c(p).
4*(p - 2)*(p + 12)**2
Let o(z) be the third derivative of -1/300*z**5 + z**2 + 0*z + 0 + 0*z**3 + 1/120*z**4. Factor o(l).
-l*(l - 1)/5
Suppose -198 = -x - 2*p, x - 3*x = 2*p - 400. Let q = 1014/5 - x. Factor 0 + 2/5*i**2 + 2/5*i**4 + q*i**3 + 0*i.
2*i**2*(i + 1)**2/5
Let a(q) be the third derivative of 1/20*q**5 - 16*q**2 - 19/1080*q**6 + 0*q - 1/27*q**4 - 2/27*q**3 + 2/945*q**7 + 0. Factor a(l).
(l - 2)**2*(l - 1)*(4*l + 1)/9
Let m = 41 - 39. Suppose -29*s - 5 - s**m + 20*s + 15*s = 0. Calculate s.
1, 5
Let x(b) be the second derivative of -b**5/160 - 67*b**4/96 - 3*b + 22. Factor x(s).
-s**2*(s + 67)/8
Let w(v) be the second derivative of -3*v**5/10 - 3*v**4 - 5*v**3/3 - 20*v. Let h(n) = n**3 + n**2. Let u(g) = 2*h(g) - 2*w(g). What is s in u(s) = 0?
-5, -2/7, 0
Let t be ((-483)/((-28)/(-4)))/(6/4). Let o = t + 48. Factor 2/9*f**3 - 2/9*f + 2/9*f**4 + 0 - 2/9*f**o.
2*f*(f - 1)*(f + 1)**2/9
Let k(x) be the second derivative of x**8/3360 - x**7/2520 - x**6/2160 + x**3 - 14*x. Let c(j) be the second derivative of k(j). Determine y so that c(y) = 0.
-1/3, 0, 1
Let c = -315 - -318. Let b(x) be the second derivative of 4*x - 1/2*x**2 - 1/4*x**c + 5/24*x**4 + 0. Factor b(j).
(j - 1)*(5*j + 2)/2
Let x be 5/10*(1 + 1). Factor -25*i + i**2 + x + 16*i + 11*i.
(i + 1)**2
Let d(p) = -28*p**2 + 43*p - 2. Let m(t) = 9*t**2 - 14*t. Let j(a) = 6*d(a) + 21*m(a). Determine z, given that j(z) = 0.
-2/7, 2
Let m be (-4)/22*(-21 + 49). Let c = -359/77 - m. Determine u so that 6/7 + 6/7*u**4 - 6/7*u**3 + c*u**5 + 3/7*u - 12/7*u**2 = 0.
-2, -1, 1
Let v(a) be the first derivative of a**5/15 + 9*a**4/4 + 56*a**3/3 - 98*a**2/3 + 146. Let v(x) = 0. Calculate x.
-14, 0, 1
Let p(n) be the second derivative of -n**7/105 + n**6/75 + 17*n**5/50 - 17*n**4/30 - 16*n**3/15 + 16*n**2/5 + n + 46. What is f in p(f) = 0?
-4, -1, 1, 4
Let n be (-936)/(-1092) + 9/(-35). Suppose 0 - 3/5*q**2 + n*q**4 + 6/5*q - 6/5*q**3 = 0. Calculate q.
-1, 0, 1, 2
Suppose -185*f + 190*f - 30 = 4*g, 0 = -3*f + 3*g + 21. Find w, given that 0 + 1/2*w + 0*w**f - 1/2*w**3 = 0.
-1, 0, 1
Let y(j) be the third derivative of -j**6/60 - j**5/30 + j**4/12 + j**3/3 + 33*j**2. Factor y(l).
-2*(l - 1)*(l + 1)**2
Let i = -61 - -82. Suppose -5*r + 4 = -i. Factor 3/4*o**3 - 3/4*o**4 + 0 - 1/4*o**2 + 1/4*o**r + 0*o.
o**2*(o - 1)**3/4
Factor 20/7*i - 2/7*i**2 - 2/7*i**3 - 16/7.
-2*(i - 2)*(i - 1)*(i + 4)/7
Let y = 27 - 23. Suppose 2*o + y - 6 = 4*g, -3*o - 5*g = -14. Find l, given that 2*l**3 - o*l**3 - 2*l**5 + 5*l**4 + 0*l**3 - 2*l**4 = 0.
0, 1/2, 1
Factor -2/3*j**3 - 14/9*j**2 + 4*j - 16/9.
-2*(j - 1)*(j + 4)*(3*j - 2)/9
Suppose -60 = -13*w - 7*w. Let 1/2*k**w - 5/6*k**4 + 0*k + 1/3*k**2 + 0 = 0. Calculate k.
-2/5, 0, 1
Let h(f) = -63*f**3 + 151*f**2 - 92*f + 25. Let v(j) = -42*j**3 + 101*j**2 - 61*j + 17. Suppose 0 = 3*y - 2 - 19. Let u(m) = y*v(m) - 5*h(m). Factor u(n).
3*(n - 1)**2*(7*n - 2)
Let b(z) be the second derivative of z**9/10080 + z**8/448 + 5*z**7/336 + 5*z**4/3 - 14*z. Let f(g) be the third derivative of b(g). Factor f(x).
3*x**2*(x + 5)**2/2
Factor j**5 - 11*j**2 + 67*j**4 + 24*j - 34*j**4 + 20 - 3*j**3 - 30*j**4 - 10*j**3.
(j - 2)**2*(j + 1)**2*(j + 5)
Let l(b) = b**2 - 7*b + 9. Let u(f) = f**2 - 7*f + 8. Suppose -16*m - 12 = -12*m. Let v(g) = m*u(g) + 2*l(g). What is p in v(p) = 0?
1, 6
Let b(m) = 2*m**4 - 4*m**3 - 9*m**2 + m + 24. Let k(y) = -y**4 + 2*y**3 + 5*y**2 -