5/2 + 63*s**4/2 - 130*s. Factor v(l).
-2*l**2*(l - 7)*(l + 9)**2/3
Let t(j) be the first derivative of j**2/2 - 10*j + 23. Let x be t(13). Solve 1/5*u**4 + 0 + 1/5*u**x - 1/5*u - 1/5*u**2 = 0.
-1, 0, 1
Factor 433*a + 543*a - 14*a**2 - 2352 - 52*a + 3*a**3 - 82*a**2.
3*(a - 14)**2*(a - 4)
Let z(r) be the first derivative of r**7/140 + r**6/90 + 4*r**3 + 7. Let t(j) be the third derivative of z(j). Factor t(c).
2*c**2*(3*c + 2)
Let f(r) be the second derivative of 0 + 14/3*r**3 + 1/5*r**5 - 7*r - 6*r**2 - 5/3*r**4. Find b such that f(b) = 0.
1, 3
Let l(s) = -4*s - 7. Let j be l(-3). Suppose j*w - 4*w = 5*u + 23, u + 4 = 0. Suppose -2*d**2 + 9*d**4 - 3*d**4 - w*d**5 - 3*d**3 + 2*d**2 = 0. Calculate d.
0, 1
Let p(f) be the third derivative of -13*f**6/840 + 17*f**5/105 - 67*f**4/168 + 2*f**3/7 - 2*f**2 - 198. Let p(c) = 0. What is c?
3/13, 1, 4
Suppose 2/5*r**3 + 10*r**2 + 286/5*r - 338/5 = 0. What is r?
-13, 1
Suppose 2/5*i**4 + 6/5*i**3 + 4/5*i - 2*i**2 - 2/5*i**5 + 0 = 0. Calculate i.
-2, 0, 1
Let i(k) = -4*k**2 - 34*k + 154. Let f(d) = 19*d**2 + 135*d - 616. Let y(v) = -2*f(v) - 9*i(v). Determine o so that y(o) = 0.
7, 11
Let h(o) be the first derivative of 9*o**4/4 - 139*o**3 + 4899*o**2/2 - 1587*o + 40. Factor h(t).
3*(t - 23)**2*(3*t - 1)
Let r = 2 - 0. Let l = 33 - 33. Factor l*i**5 - 4*i**4 + r*i**5 + 21*i**3 - 19*i**3.
2*i**3*(i - 1)**2
Let v(f) be the third derivative of -f**8/84 + 8*f**7/105 - f**6/10 - 4*f**5/15 + 2*f**4/3 - 2*f**2 - 3*f. Solve v(y) = 0.
-1, 0, 1, 2
Determine u, given that 296 - 22*u**2 - 80 - 3*u**3 - 320*u + 284*u + 9*u**2 - 17*u**2 = 0.
-6, 2
Let k(q) be the third derivative of -q**5/90 + 2*q**4/9 + q**3 - 121*q**2. Determine y so that k(y) = 0.
-1, 9
Let p(n) = n**3 + 95*n**2 + 101*n + 660. Let x be p(-94). Determine y, given that 0*y + 2/9*y**3 + 0 + 16/9*y**x = 0.
-8, 0
Suppose -5*l + 26 + 34 = 0. Let q = l - 8. Factor -f**3 - 8*f**4 - f**3 - q*f**4 + 11*f**4.
-f**3*(f + 2)
Let t(x) be the first derivative of -2/5*x**3 + 0*x**2 - 2*x + 1/50*x**6 + 9/100*x**5 + 0*x**4 + 5. Let y(n) be the first derivative of t(n). Factor y(c).
3*c*(c - 1)*(c + 2)**2/5
Let x be ((-185222)/(-34940) - 0) + 189/(-378). Let j = -2/1747 + x. Determine k, given that j*k + 12/5*k**2 + 16/5 + 2/5*k**3 = 0.
-2
Let d(k) be the first derivative of 676*k**5/15 + 13*k**4/4 - 881*k**3/9 - 44*k**2 - 20*k/3 + 74. Find h, given that d(h) = 0.
-1, -2/13, 5/4
Let -4/7*g**3 - 8/7*g**2 + 24/7 + 20/7*g = 0. What is g?
-3, -1, 2
Let d(z) be the first derivative of -1/96*z**4 + 5/2*z**2 - 1/240*z**5 - 12 + 0*z + 0*z**3. Let h(p) be the second derivative of d(p). Factor h(n).
-n*(n + 1)/4
Suppose 2*q + 0*q = -8. Let i be 3 + 0*q/12. Determine v so that 4*v + v**2 + 4 - i - 2*v = 0.
-1
Let m(j) = -8*j**3 + 22*j**2 - 23*j + 14. Let x(h) = -h**3 + 2*h**2 - h + 2. Let o(c) = 4*m(c) - 28*x(c). Factor o(z).
-4*z*(z - 4)**2
Let -56/5*f + 1/5*f**2 + 12/5 + 9/5*f**4 + 34/5*f**3 = 0. What is f?
-3, -2, 2/9, 1
Suppose -1108 = -38*k - 956. Factor -2/9*f**3 + 0 - 2/9*f**k + 2/9*f + 2/9*f**2.
-2*f*(f - 1)*(f + 1)**2/9
Let u(p) be the second derivative of -p**5/60 - 7*p**4/18 - 16*p**3/9 + 64*p**2/3 + 131*p. Factor u(t).
-(t - 2)*(t + 8)**2/3
Let g(h) = h**4 + 3*h**2. Let f(b) = -5*b**4 - b**3 - 38*b**2. Let o(x) = f(x) + 6*g(x). Solve o(n) = 0.
-4, 0, 5
Determine r, given that -3/2 + 25/8*r - 1/4*r**2 = 0.
1/2, 12
Factor 39/7*o**3 - 180/7*o**2 + 108/7*o + 30/7*o**4 + 0 + 3/7*o**5.
3*o*(o - 1)**2*(o + 6)**2/7
Solve 0*m - 2/5*m**4 + 2/5*m**3 + 2/5*m**2 + 0 - 2/5*m**5 = 0.
-1, 0, 1
Factor 6*m**3 - 2 + 120*m**2 + 9*m + 5*m**5 - 30*m**4 - m**3 + 2 + 71*m.
5*m*(m - 4)**2*(m + 1)**2
Suppose 3*u + u = 3*a - 49, 2*u + 5*a = -57. Let h(v) = 6*v + 99. Let f be h(u). What is i in -8/15*i**2 + 0 + 2/15*i**f + 8/15*i = 0?
0, 2
Let m(z) = -z**2 - 2*z - 10. Let r(y) = 3*y**2 + 5*y + 29. Let o(a) = -a**2 - 6*a - 11. Let f be o(-5). Let s(b) = f*r(b) - 17*m(b). Factor s(w).
-(w - 2)**2
Let r be (-564)/(-96) + -6 + 3/24. Factor 2/5*a**2 + 2/5*a + r.
2*a*(a + 1)/5
Factor 2*f**2 - 33 + 54 + 13 + 34*f + 14 + 96.
2*(f + 8)*(f + 9)
What is v in 45*v**2 + 45*v**2 + 228*v - 128*v**2 + 4332 + 41*v**2 = 0?
-38
Let o(p) be the first derivative of -2/3*p**3 + 1/4*p**2 + 1/12*p**6 + 7 + 3/4*p**4 - 2/5*p**5 + 0*p. Solve o(i) = 0 for i.
0, 1
Factor -2*j**3 - 8*j**2 + 0*j**3 + 792*j - 1582*j + 800*j.
-2*j*(j - 1)*(j + 5)
Suppose -12*s + 25 + 23 = 0. Suppose -2*r = -3*a + 8, 4*a - r - s = a. Let 1/9*l**3 + 0 + 2/9*l**2 - 1/9*l**4 + a*l = 0. Calculate l.
-1, 0, 2
Factor 36/11 - 34/11*o - 2/11*o**2.
-2*(o - 1)*(o + 18)/11
Let y(c) = c**3 + 3*c**2 - 5*c. Suppose -9*n - 24 = -3*n. Let m be y(n). Factor -1/2*u**3 + 0*u - 1/2*u**m + 0 + 0*u**2.
-u**3*(u + 1)/2
Let v(s) be the second derivative of 11*s + 0*s**3 + 0*s**2 - 1/35*s**5 - 1/42*s**4 - 1/105*s**6 + 0. Factor v(l).
-2*l**2*(l + 1)**2/7
Let m = 143 + -140. Let p(s) be the second derivative of 2/11*s**2 + 4*s + 0 + 5/33*s**m - 1/22*s**4. Factor p(b).
-2*(b - 2)*(3*b + 1)/11
Suppose 0 = 2*x + 3*x + 45. Let u = -5 - x. Factor 0*t + 0*t**4 + 3*t - 3*t**u + 9*t**3 - 9*t**2 + 0*t**4.
-3*t*(t - 1)**3
Let c = -16 + 31. Let w be 2/((4 - 6) + 3). Factor 4*t**3 + 84 + 12*t**4 + 5*t**3 - 9*t - c*t**w - 81.
3*(t - 1)*(t + 1)**2*(4*t - 1)
Find d, given that 0 - 1/2*d**4 + 5*d**2 + 1/2*d**3 + 4*d = 0.
-2, -1, 0, 4
What is r in 33*r - 6 + 12 + 15*r**2 + 8 - 3 + 7 = 0?
-6/5, -1
Let x = 4716 + -4714. Let r be (-76)/(-60) - 3/5. Factor 0 - 10/9*g**3 - r*g + 14/9*g**x + 2/9*g**4.
2*g*(g - 3)*(g - 1)**2/9
Let y(g) = g - 7. Let w be y(7). Suppose 2*u - 1387 = -1383. Factor w - 4/7*x**u - 6/7*x**3 + 2/7*x.
-2*x*(x + 1)*(3*x - 1)/7
Factor 12*c**2 - 17*c**4 - 12*c**3 + 2151*c - 2155*c + 21*c**4.
4*c*(c - 1)**3
Let c(z) = -5*z**2 + 36*z - 76. Let f(b) = 5*b**2 - 35*b + 75. Let o(s) = 5*c(s) + 4*f(s). Solve o(x) = 0 for x.
4
Let d be (-355)/(-1300) + (-4 - 60/(-16)). Let u(r) be the second derivative of 9*r + 0*r**2 - d*r**5 - 1/195*r**6 + 0 - 1/39*r**3 - 1/26*r**4. Factor u(s).
-2*s*(s + 1)**3/13
Let t(g) be the third derivative of -8*g**7/35 + 2*g**6/5 - 3*g**5/10 + g**4/8 + 5*g**3/3 + 30*g**2. Let w(p) be the first derivative of t(p). Factor w(h).
-3*(4*h - 1)**3
Suppose -4*x = -y - 1, 2*x + 2*x = 16. Suppose 16 = -2*h - 4*t, 4*t + y + 1 = -4*h. Suppose h*j + 0 + 1/2*j**2 = 0. Calculate j.
0
Suppose 499*i = -2*o + 496*i + 10, i = 2. Factor -4/5*j**4 - 4/5*j**o + 0*j - 8/5*j**3 + 0.
-4*j**2*(j + 1)**2/5
Let y(i) be the second derivative of 3*i**5/20 - 3*i**4/2 + 11*i**3/2 - 9*i**2 + 111*i. Determine l so that y(l) = 0.
1, 2, 3
Let n = 32/39 + -107/273. Factor -18/7*s + n*s**2 + 0.
3*s*(s - 6)/7
Let i(j) be the second derivative of 65/12*j**4 + 3*j + 10*j**2 - 8/3*j**6 + 0 - 10/21*j**7 - 13/4*j**5 + 40/3*j**3. Determine a so that i(a) = 0.
-2, -1/2, 1
Let t(k) be the first derivative of k**4/4 + 4*k**3/9 - 5*k**2/2 - 642. Let t(o) = 0. What is o?
-3, 0, 5/3
Let s(i) be the second derivative of 9/5*i**2 - 2/5*i**3 + 0 + 1/30*i**4 + 19*i. Factor s(x).
2*(x - 3)**2/5
Let d = -1154 - -1154. Let f(p) be the third derivative of -1/120*p**6 + 3*p**2 + d*p**3 + 1/24*p**4 + 0*p + 0 + 0*p**5. Solve f(c) = 0.
-1, 0, 1
Factor -24/7*r**3 + 0 - 2/7*r**5 + 16/7*r**2 + 12/7*r**4 + 0*r.
-2*r**2*(r - 2)**3/7
Let p(u) = -15*u**4 + 310*u**3 - 980*u**2 + 950*u - 10. Let m(a) = -5*a**4 + 103*a**3 - 328*a**2 + 317*a - 3. Let h(c) = 10*m(c) - 3*p(c). Factor h(y).
-5*y*(y - 16)*(y - 2)**2
Let n(g) be the second derivative of g**5/120 - g**4/72 - g**3/18 - 30*g. Solve n(u) = 0 for u.
-1, 0, 2
Let t(f) = -f**3 + 11*f**2 + f - 11. Suppose 0*u + 5*q - 33 = -3*u, 2*u - 3*q - 22 = 0. Let j be t(u). Factor -2/9*g**4 + 2/9*g + 2/9*g**2 + j - 2/9*g**3.
-2*g*(g - 1)*(g + 1)**2/9
Let k(z) be the third derivative of z**8/448 + 3*z**7/35 + 45*z**6/32 + 513*z**5/40 + 567*z**4/8 + 243*z**3 + 121*z**2. Factor k(j).
3*(j + 3)**2*(j + 6)**3/4
Find j, given that -4 + 9/2*j**3 + 1/2*j**4 + 7/2*j**2 - 9/2*j = 0.
-8, -1, 1
Let x(p) be the first derivative of -p**6/600 + p**5/200 + 7*p**3/3 - 1. Let s(k) be the third derivative of x(k). Suppose s(t) = 0. Calculate t.
0, 1
Let a(d) be the first derivative of -1/10*d**4 + 0*d**2 - 19 - 4/25*d**5 + 4/15*d**3 + 0*d + 1/15*d**6. Determine t so that a(t) = 0.
-1, 0, 1, 2
Supp