. Factor h(u).
4*u**2*(u - 2)*(u + 3)**2/5
Let z be (24/(-7))/(-14 + (-2337)/(-168)). What is b in 48/5*b + 3/5*b**2 + z = 0?
-8
Let x(t) be the second derivative of t**8/4480 + t**7/280 + t**6/40 + t**5/10 - 13*t**4/12 + 9*t. Let y(f) be the third derivative of x(f). Factor y(b).
3*(b + 2)**3/2
Suppose 33/5*v**2 - 7/5*v**3 - 18/5*v - 8/5 = 0. Calculate v.
-2/7, 1, 4
Let x = -725 + 3627/5. Let -2/5*c**2 - x*c + 4/5 = 0. Calculate c.
-2, 1
Determine i, given that -3/5*i**2 - 3/5 - 6/5*i = 0.
-1
Solve 4/3*b**4 + 0*b - 2/9*b**5 - 10/9*b**3 + 0*b**2 + 0 = 0 for b.
0, 1, 5
Let l(i) be the third derivative of 4*i**5/15 + i**4/2 - 2*i**3/3 - 3*i**2 - 10*i. Find w such that l(w) = 0.
-1, 1/4
Let y(v) be the first derivative of 2*v**6 - 28*v**5/5 - 34*v**4 - 40*v**3 - 2*v**2 + 20*v + 215. Determine l, given that y(l) = 0.
-1, 1/3, 5
Factor 0 + 0*s - 2/3*s**4 + 0*s**2 - 4/3*s**3.
-2*s**3*(s + 2)/3
Let h = -4 + 9. Let n be (40/44)/h - (-62)/22. Factor 2/9*d + 2/9*d**n + 0 - 4/9*d**2.
2*d*(d - 1)**2/9
Let c = 1360 - 4079/3. Solve -1/3*h**2 + 0 + c*h**4 + 2/3*h + 1/3*h**5 - h**3 = 0 for h.
-2, -1, 0, 1
Let w(p) be the third derivative of -p**9/4032 + p**8/560 - p**7/224 + p**6/240 + 7*p**3/6 - 2*p**2. Let g(z) be the first derivative of w(z). Factor g(h).
-3*h**2*(h - 2)*(h - 1)**2/4
Let h(c) be the third derivative of -c**7/420 + 11*c**6/240 - 13*c**5/40 + 49*c**4/48 - 5*c**3/3 + 155*c**2 + 2*c. Factor h(r).
-(r - 5)*(r - 4)*(r - 1)**2/2
Factor 4 + 26 - 1561276*q + 1561249*q - 3*q**2.
-3*(q - 1)*(q + 10)
Let f(w) be the first derivative of 1/8*w**2 - 13 + 1/12*w**3 - 1/4*w - 1/16*w**4. Factor f(y).
-(y - 1)**2*(y + 1)/4
Let x(l) = 10*l**4 + 28*l**3 + 6*l**2 - 6*l + 6. Let d(o) = -o**4 - 2*o**3 - o**2 + o - 1. Let n(c) = 6*d(c) + x(c). Factor n(r).
4*r**3*(r + 4)
Let 0*m - 16*m + 2*m**2 + 13*m - 18 + m**2 = 0. What is m?
-2, 3
Let p(i) be the first derivative of -16 + 0*i - 2/27*i**3 + 2/9*i**2 - 1/18*i**4. Factor p(n).
-2*n*(n - 1)*(n + 2)/9
Let l = 124 + -133. Let c(y) = y + 11. Let t be c(l). Factor 0 - 3/8*g**t + 3/8*g.
-3*g*(g - 1)/8
Let r(w) be the second derivative of 2/15*w**3 + 5*w + 0 - 1/25*w**5 - 1/15*w**4 + 2/5*w**2. Factor r(u).
-4*(u - 1)*(u + 1)**2/5
Factor -48*x + 0 - 64*x**2 + 3/2*x**4 - 15*x**3 + 1/2*x**5.
x*(x - 6)*(x + 1)*(x + 4)**2/2
Let u = 55 - 56. Let f be 5*(-2)/14 - u. Factor -2/7*g + 2/7*g**3 + 0 - 2/7*g**4 + f*g**2.
-2*g*(g - 1)**2*(g + 1)/7
Let u be 2*(-4)/(-32) + 549/(-4). Let w = -135 - u. Determine r so that 14/3*r**2 + 2/3 + w*r**3 + 10/3*r = 0.
-1, -1/3
Let l = -1878 - -1878. What is i in -2*i**3 + 0*i + l + 2/3*i**2 - 2/3*i**5 + 2*i**4 = 0?
0, 1
Let a = 9 - 3. Suppose 5*g - 14 = 1. Factor 6*m - 5 - g - a*m**2 + 8*m**2.
2*(m - 1)*(m + 4)
Let j(a) = a**3. Let p(f) = 5*f**5 - 40*f**4 + 145*f**3 - 160*f**2 + 80*f. Let q(k) = 25*j(k) - p(k). Factor q(n).
-5*n*(n - 2)**4
Suppose -5*j + 36*j + 17*j = 0. Let t(c) be the second derivative of -c + 0*c**3 + 0 + j*c**2 + 1/80*c**5 + 1/48*c**4. Solve t(r) = 0 for r.
-1, 0
Let y(u) = -6*u**4 - 6*u**3 + 15*u**2 + 15*u + 3. Let r(h) = 11*h**4 + 12*h**3 - 29*h**2 - 33*h - 5. Let n(t) = 3*r(t) + 5*y(t). Factor n(x).
3*x*(x - 2)*(x + 2)**2
Let k be (-1)/((-36)/21) + 1/(-4). Let g(r) be the third derivative of 1/10*r**5 + 0*r - 2*r**2 - 4/3*r**3 + 0 + k*r**4. Let g(b) = 0. Calculate b.
-2, 2/3
Let s(d) = d**2 - 7*d + 3. Let z be s(-4). Factor -79 - 5*r + z + 42 - 5*r**2.
-5*(r - 1)*(r + 2)
Let c(i) = -36*i**3 - 70*i**2 - 42*i + 104. Let b(p) = -13*p - 5*p**3 - 10*p**2 + 15 - 6*p + 13*p. Let w(j) = 44*b(j) - 6*c(j). Determine v so that w(v) = 0.
-3, 1
Let x(l) be the second derivative of -1/50*l**5 - 24*l + 0 + 1/75*l**6 + 0*l**2 + 0*l**3 + 0*l**4. Find s such that x(s) = 0.
0, 1
Let a(y) be the third derivative of 0 + 0*y**3 - 12*y**2 - 1/420*y**6 - 1/21*y**4 + 0*y - 1/42*y**5. Suppose a(b) = 0. Calculate b.
-4, -1, 0
Let m = 30 + -14. Determine x, given that -20*x + 4*x**2 + 0*x + 4 - 4*x + m = 0.
1, 5
Let a(q) be the first derivative of 2*q**6/15 - 16*q**5/25 + 3*q**4/5 + 16*q**3/15 - 8*q**2/5 - 74. Solve a(s) = 0.
-1, 0, 1, 2
Solve 8 + 8*s**2 - 4*s + s**3 - 14*s**2 + 0*s**2 + s**4 = 0.
-2, 1, 2
Let m be 236/354 - (-2)/(-3). Let g(q) be the second derivative of 0*q**2 + 3/160*q**5 + m + 0*q**3 + 4*q - 1/32*q**4. Factor g(o).
3*o**2*(o - 1)/8
Let h(n) be the second derivative of n**7/315 + n**6/75 - 2*n**4/45 + 44*n. Factor h(g).
2*g**2*(g - 1)*(g + 2)**2/15
Let x(m) be the second derivative of 0 - 22*m - 1/18*m**4 + 2/3*m**3 - 3*m**2. Solve x(h) = 0.
3
Suppose 4*y = -2*s + 66, -5*s + 12 - 43 = -4*y. Find u such that -y*u**2 + 0*u + 10*u**3 + 3*u + 3*u - 2*u = 0.
0, 2/5, 1
Let b(h) = 5*h**3 - h**2 - 14*h + 22. Let l = 15 - 26. Let w(v) = 9*v**3 - 3*v**2 - 27*v + 43. Let o(r) = l*b(r) + 6*w(r). Suppose o(a) = 0. What is a?
-4, 1
Factor -8/7*g - 2/7*g**2 + 24/7.
-2*(g - 2)*(g + 6)/7
Factor 804/7 + 1202/7*i - 6/7*i**2.
-2*(i - 201)*(3*i + 2)/7
Find d, given that -44/7*d**3 + 128/7 + 16/7*d - 96/7*d**2 - 4/7*d**4 = 0.
-8, -2, 1
Let v(f) be the first derivative of -5*f**3/3 + 5*f**2/2 + 20*f + 23. Let c = -12 + 18. Let o(q) = -5*q**2 + 6*q + 20. Let j(b) = c*v(b) - 5*o(b). Factor j(u).
-5*(u - 2)*(u + 2)
Suppose 0 = -33*a + 933 + 255. Factor -9*x**2 - a*x - 3/4*x**3 - 48.
-3*(x + 4)**3/4
Let a(h) = h**3 + h**2 + h. Let d(j) = 4*j**4 - 2*j**3 - 6*j**2 - 6*j. Let z(c) = -c**2 + 6*c + 6. Let s be z(7). Let k(p) = s*d(p) - 6*a(p). Factor k(r).
-4*r**3*(r + 1)
Let m(p) = 7*p**2 - 16*p - 1. Let w(y) = -50 + 15 + 18 + 16. Let l be 0 + -1 + -1 - -12. Let g(k) = l*w(k) - 2*m(k). Factor g(n).
-2*(n - 2)*(7*n - 2)
Let g be ((-20)/3)/((-8)/(-12)). Let u be 0*2/4 + 10 + g. Determine c, given that u*c**2 - 4/9*c**3 + 2/9*c**4 - 2/9 + 4/9*c = 0.
-1, 1
Suppose -5*p + 0*p = 0, 4*d - 2*p - 20 = 0. Factor 4*m**d - 8*m**2 + 0*m**2 + 15*m**3 + 5*m**3 - 16*m**4.
4*m**2*(m - 2)*(m - 1)**2
Let d be (-2)/11 + 2/11. Factor -5*u + 4*u**2 + d*u + 5*u + 4*u - 8.
4*(u - 1)*(u + 2)
Let p be 1 + -2 + (-9 - -13). Suppose p*a - 9 = 0, -4*a - 8 + 12 = -4*c. Find b such that b - 3/2 + 1/2*b**c = 0.
-3, 1
Let b be (-2 - 0 - 7)*-1. Determine z so that -2*z**3 + 181*z + 15*z**2 - 166*z - 4 - b*z**4 - 13*z**3 - 2 = 0.
-2, -1, 1/3, 1
Let a = -383 - -1150/3. Let y(t) be the first derivative of 2 + 1/12*t**4 + a*t + 1/3*t**3 + 1/2*t**2. Factor y(j).
(j + 1)**3/3
Let p be (-144316)/(-45562) + 2/19. Factor 16/11*s**2 + 42/11*s + 2/11*s**3 + p.
2*(s + 2)*(s + 3)**2/11
Let d(f) = -4*f**4 - 34*f**3 + 14*f**2 - 10. Let w(q) = q**4 + 11*q**3 - 5*q**2 + 3. Let m(p) = -3*d(p) - 10*w(p). Factor m(y).
2*y**2*(y - 2)**2
Let x(k) be the first derivative of -2*k**3/3 - 11*k**2 - 56*k - 197. Factor x(w).
-2*(w + 4)*(w + 7)
Let u(s) = -5*s**2 - 9*s - 36. Let t(r) = -3*r**2 - 9*r - 36. Let w(i) = 6*t(i) - 4*u(i). Find z, given that w(z) = 0.
-3, 12
Let z(a) be the second derivative of a**7/294 - 8*a**6/35 + 15*a**5/4 + 625*a**4/42 - 686*a. Determine p so that z(p) = 0.
-2, 0, 25
Let j(s) be the third derivative of -s**8/840 + s**7/75 - 4*s**6/75 + 4*s**5/75 + 4*s**4/15 - 16*s**3/15 + 194*s**2. Find q such that j(q) = 0.
-1, 2
Let w be (20/(-6))/(51 + -56). Determine s, given that 0*s**2 - w*s**3 + 8/3*s + 0 = 0.
-2, 0, 2
Let u(s) be the first derivative of 4/5*s**5 - 4/3*s**3 + s**4 + 10 + 0*s**2 + 0*s - 2/3*s**6. Factor u(a).
-4*a**2*(a - 1)**2*(a + 1)
Let t be 6 - ((-60)/36)/(5/(-6)). Suppose 6*b**2 - 2*b - 2*b**2 - 3*b**2 + t*b = 0. What is b?
-2, 0
Let b = 27 - 27. Suppose -3*w = b, -3*l + 5*w + 6 = 7*w. What is t in -l*t**5 - 4/3*t**4 + 2/9*t + 16/9*t**3 + 4/3*t**2 + 0 = 0?
-1, -1/3, 0, 1
What is p in 29/9*p - 2/3 + 5/9*p**2 = 0?
-6, 1/5
Determine o, given that -20/3*o**2 + 44/9*o**4 + 4/3*o**5 + 16/9 + 20/9*o**3 - 32/9*o = 0.
-2, -1, 1/3, 1
Factor 140*t + 25/4*t**2 + 784.
(5*t + 56)**2/4
Let j(u) be the second derivative of -u**4/36 - u**3/6 + 5*u**2/3 + 115*u. Factor j(k).
-(k - 2)*(k + 5)/3
Suppose 3*s = 3*y - s - 40, 8 = y + 4*s. Let -24*q - 118*q**3 - 1 + 1 + 3*q**5 + 15*q**4 - y*q**2 + 136*q**3 = 0. What is q?
-2, 0, 1
Let c(l) = -2*l**3 + 51*l**2 - 31*l - 9. Let u be c(25). Let x = -473/3 - u. Determine w, given that -x*w + 10*w**2 - 46/3*w**3 + 0 + 32/3*w**5 - 16*w**4 = 0.
-1, 0, 1/4, 2
Let j(q) = -2*q**3 - 4*q**2 - 2*q. Let o be j(-2)