)*(j + 1)*(j + 6)
Factor 3105*f - 907 - 495*f**2 + 290 + 468 - 2612 - 5*f**3 - 1964.
-5*(f - 3)**2*(f + 105)
Let b(q) = 2*q**3 + 8*q**2 - 14*q + 10. Let w(y) be the third derivative of -y**5/60 + y**4/24 - y**3/6 - 13*y**2. Let d(z) = -b(z) - 10*w(z). Factor d(o).
-2*o*(o - 2)*(o + 1)
Let z(a) be the second derivative of a**7/27 - 11*a**6/135 + 2*a**5/45 - 14*a + 8. Suppose z(h) = 0. What is h?
0, 4/7, 1
Let g(j) = -2*j**2 + j + 5. Let z be g(0). Suppose -280 - 8 = -b + 5*s, z*b = 2*s + 1440. Determine a so that -5*a**2 + b*a - 288*a + 5*a**3 = 0.
0, 1
Suppose 3/4*u**4 - 33/4*u**3 + 0 + 18*u - 21/2*u**2 = 0. What is u?
-2, 0, 1, 12
Let a(i) = -i**2 + 10*i + 152. Let f be a(-8). Suppose v - 1 = -5, -3*d + 14 = -2*v. Factor -10 + 3*p + 25*p**d + 9*p**3 + f*p**3 - 7*p**3 + 2*p.
5*(p + 1)*(p + 2)*(2*p - 1)
Suppose 19*n - 15*n = 12. Factor -2*a**4 + 1383*a**3 + 2*a**4 - 9*a**2 - n*a**4 - 1395*a**3.
-3*a**2*(a + 1)*(a + 3)
Solve -451/5 - 453/5*g**2 - 1/5*g**3 - 903/5*g = 0.
-451, -1
Suppose -102870 + 0*b**2 - 83*b - 15*b**2 + 205741 - 102891 + 3*b + 35*b**4 + 80*b**3 = 0. What is b?
-2, -1, -2/7, 1
Let o(z) be the second derivative of 4*z - 1/6*z**5 + 5/42*z**7 + 0 + z**2 + 0*z**4 + 0*z**3 - 1/8*z**6. Let w(h) be the first derivative of o(h). Factor w(k).
5*k**2*(k - 1)*(5*k + 2)
Factor -24*w**2 + 252/5*w + 21168/5 - 4/5*w**3.
-4*(w - 12)*(w + 21)**2/5
Let m = 213 + -207. Let -4*f**3 + 2*f + 9 - m*f**2 - 3 + f**5 - 6*f**2 + 6*f**4 + f**5 = 0. What is f?
-3, -1, 1
Let x = -238 + 245. Factor -4*y - 3*y**2 - 18 + 12*y + x*y.
-3*(y - 3)*(y - 2)
Find o, given that 0 + 219/5*o**4 + 3*o**5 + 837/5*o**2 - 486/5*o + 171*o**3 = 0.
-9, -3, 0, 2/5
Let l(t) be the first derivative of -5*t**4/14 - 166*t**3/21 - 116*t**2/7 + 120*t/7 + 1563. What is x in l(x) = 0?
-15, -2, 2/5
Let s(u) = -13*u**2 + 1614*u - 244. Let c be s(124). Solve 1/4*v**c + 0 + 0*v - 1/4*v**2 + 0*v**3 = 0 for v.
-1, 0, 1
Let s be (10*(-14)/(-175))/((-22)/(-55)). Suppose -19*o + 69 = 4*o. Find v such that 0*v**s + 4/9*v**4 + 0*v + 4/9*v**o + 0 = 0.
-1, 0
Let r(k) be the first derivative of k**6/300 + 2*k**5/75 + k**4/15 - 5*k**2 + 2*k - 60. Let i(g) be the second derivative of r(g). Factor i(x).
2*x*(x + 2)**2/5
Let s(i) be the first derivative of -9/13*i**2 - 115 - 2/39*i**3 + 44/13*i. Find r, given that s(r) = 0.
-11, 2
Let p(y) be the second derivative of y**6/150 - 12*y**5/5 + 14399*y**4/60 + 8*y**3 - 1440*y**2 - 3*y - 33. Factor p(m).
(m - 120)**2*(m - 1)*(m + 1)/5
Let i(r) = r**3 + 40*r**2 + 9*r - 30. Let y(w) = 15*w**3 + 555*w**2 + 125*w - 420. Let q(j) = 55*i(j) - 4*y(j). Solve q(d) = 0 for d.
-3, -2, 1
Factor 204*z - 84 - 867/7*z**2.
-3*(17*z - 14)**2/7
Suppose 2*a - 4*g - 178 = 0, 4*a + g = 293 + 36. Let f = 85 - a. Determine t so that -f*t**2 - 8*t + 33 - 25 + 2*t = 0.
-4, 1
Suppose -62/11*o**3 + 2/11*o**4 - 136/11*o - 200/11*o**2 + 0 = 0. Calculate o.
-2, -1, 0, 34
Let c(m) be the second derivative of m**6/30 - m**5/20 - 7*m**4/6 + 4*m**3 - 1334*m. Solve c(f) = 0.
-4, 0, 2, 3
Let a(k) = 3*k**2 + 135*k + 147. Let o(l) = l**3 + 15*l**2 + 136*l + 146. Let s(f) = 2*a(f) - 3*o(f). Factor s(m).
-3*(m + 2)*(m + 3)*(m + 8)
Let t be (17325/(-135))/77 + 34/6. Let c(w) be the second derivative of 5/3*w**3 - 1/30*w**6 + 3/10*w**5 - 3/2*w**2 - 12*w - w**t + 0. Factor c(k).
-(k - 3)*(k - 1)**3
Let s(h) be the second derivative of -1/70*h**5 + h + 47/42*h**4 - 176/7*h**3 - 576/7*h**2 - 4. Factor s(c).
-2*(c - 24)**2*(c + 1)/7
Determine x, given that -3129350*x + 14*x**3 - 470*x**2 - 540 + 3127018*x - 372 = 0.
-4, -3/7, 38
Suppose 2711*u - 10522 = 750 - 428. Factor 1/3*q**u - 7/3*q**2 - 4/3*q + 0 - 2/3*q**3.
q*(q - 4)*(q + 1)**2/3
Let o(x) be the second derivative of x**5/5 - 20*x**4/3 - 86*x**3/3 - 44*x**2 - 2*x - 317. Factor o(a).
4*(a - 22)*(a + 1)**2
Determine y, given that 1/3*y**2 + 434/3*y + 288 = 0.
-432, -2
Suppose 392 + 262/3*r**2 + 22*r**3 - 2/3*r**5 - 14/3*r**4 - 1232/3*r = 0. What is r?
-7, 2, 3
Let n(i) be the third derivative of -i**6/840 - 13*i**5/84 - 31*i**4/28 - 126*i**2 + 5*i + 2. Factor n(o).
-o*(o + 3)*(o + 62)/7
Let w(y) be the third derivative of -y**5/600 + y**4/10 + 3*y**3 - y**2 + 517. Factor w(l).
-(l - 30)*(l + 6)/10
Suppose 0*m**2 + 2/9*m**3 - 1/9*m - 1/9*m**5 + 0 + 0*m**4 = 0. What is m?
-1, 0, 1
Let n(o) = -2*o**3 + 21*o**2 - 15*o + 54. Let t be n(10). Factor -26 + 16*x**3 - 43*x**3 + 1123*x - 955*x - 21*x**2 - t - 6.
-3*(x - 2)*(x + 3)*(9*x - 2)
Let p(j) be the first derivative of j**4/2 - 970*j**3/3 + 967*j**2 - 966*j - 1716. Determine v so that p(v) = 0.
1, 483
Let h(l) be the third derivative of -l**5/15 + 5*l**4/6 + 24*l**3 + 1737*l**2. Find k such that h(k) = 0.
-4, 9
Solve 1/2*d**4 + 2/3*d**3 + 0*d + 0 + 0*d**2 - 1/6*d**5 = 0.
-1, 0, 4
Let j(w) be the first derivative of -w**6/21 - 4*w**5/7 - 18*w**4/7 - 36*w**3/7 - 27*w**2/7 + 25. Let j(m) = 0. Calculate m.
-3, -1, 0
Let k(b) be the second derivative of b**7/126 + 17*b**6/90 - 193*b**5/60 + 175*b**4/36 + 3*b - 383. Suppose k(h) = 0. Calculate h.
-25, 0, 1, 7
Let b(j) = -42*j**2 + 59*j - 9. Let r(d) = 85*d**2 - 120*d + 15. Let v(c) = 5*b(c) + 2*r(c). Determine g so that v(g) = 0.
3/8, 1
Solve -585*p + 135*p + 655*p**2 + 20*p**3 - 18999*p**5 + 9485*p**5 + 9494*p**5 - 205*p**4 = 0.
-10, -9/4, 0, 1
Let g(a) be the second derivative of 13*a**5/2 + 649*a**4/6 + 1615*a**3/3 - 25*a**2 + 2813*a. Factor g(y).
2*(y + 5)**2*(65*y - 1)
Let g(s) = 68*s**2 - 3108*s - 249666. Let y(a) = 13*a**2 - 622*a - 49933. Let k(w) = 5*g(w) - 26*y(w). Factor k(o).
2*(o + 158)**2
Let r(p) be the third derivative of p**7/1400 + p**6/150 + p**5/40 + p**4/20 - 21*p**3/2 + 30*p**2. Let s(b) be the first derivative of r(b). Factor s(a).
3*(a + 1)**2*(a + 2)/5
Let l(m) be the second derivative of 2*m**4 - 1/5*m**5 + 208*m - 10/3*m**3 - 24*m**2 + 0. Factor l(k).
-4*(k - 4)*(k - 3)*(k + 1)
Let i(p) be the third derivative of -p**4 + 0 - 4/15*p**5 + 0*p - 1/315*p**7 - 63*p**2 + 0*p**3 + 11/180*p**6. Factor i(l).
-2*l*(l - 6)**2*(l + 1)/3
Let g(z) = z**3 + 8*z**2 - 26*z - 39. Let a be g(-10). What is u in 5*u + 29*u**3 - a*u**3 + 2*u**3 + 15*u**2 = 0?
-1, -1/2, 0
Suppose -w = v - 40, -v - 160 = -6*v + 5*w. Suppose -39 + 55*n**2 + 72*n - v - 52*n**2 = 0. Calculate n.
-25, 1
Find m such that 21*m**3 + 23*m + 48 + 303*m - 112*m**2 - 152*m**2 - 2*m + 24*m**3 = 0.
-2/15, 2, 4
Let y = 101 + -97. Find s, given that -s**y + 3*s**5 + 3*s**4 - 27*s**3 - s**2 + 20*s**3 + 3*s**2 = 0.
-2, 0, 1/3, 1
Let s(z) = z**4 + 144*z**3 - 522*z**2 + 653*z - 261. Let f(o) = o**4 + 147*o**3 - 521*o**2 + 651*o - 260. Let m(t) = -5*f(t) + 6*s(t). Factor m(h).
(h - 2)*(h - 1)**2*(h + 133)
Let k(z) = 15*z**4 + 7*z**3 + z**2 - 9*z - 7. Let x(j) = 2*j**4 - j**2 + j - 1. Let n = -582 - -580. Let f(s) = n*k(s) + 14*x(s). Factor f(h).
-2*h*(h - 1)*(h + 4)**2
Let v(s) be the second derivative of 3*s**5/20 + 111*s**4/4 - 2*s**3 - 666*s**2 - 7*s - 149. What is a in v(a) = 0?
-111, -2, 2
Suppose 5*d - 30 = 3*s, 2*s = s. Let y be (-2 + 2)/((-6)/d + 2). Determine l so that y - 10/13*l - 2/13*l**2 = 0.
-5, 0
Let d be 9*(-76)/(-36) - (-1 - -2). Let l(p) be the second derivative of 0*p**2 + 1/10*p**5 + 0 + d*p - 1/6*p**4 - 2/3*p**3. Factor l(q).
2*q*(q - 2)*(q + 1)
Let a(y) be the third derivative of 11*y**7/735 + 13*y**6/105 + 8*y**5/35 - 20*y**4/21 - 16*y**3/3 - 135*y**2 - 3*y. Factor a(p).
2*(p + 2)**3*(11*p - 14)/7
Let v = -914 - -809. Let b be (-115)/v - 64/(-112). Suppose 16/3 - 32/3*m + b*m**5 + 23/3*m**4 + 20/3*m**3 - 32/3*m**2 = 0. What is m?
-2, 2/5, 1
Let r(n) be the second derivative of -91*n + 0 + 0*n**2 + 0*n**3 + 1/24*n**4. Factor r(f).
f**2/2
Let f = -1762 - -1765. Let r(z) be the first derivative of 0*z**2 + 0*z**f - 1/3*z**6 - 4/5*z**5 + 0*z**4 + 0*z + 28. Factor r(d).
-2*d**4*(d + 2)
Let h(p) be the second derivative of -p**4/114 - 3710*p**3/57 - 3441025*p**2/19 + 40*p + 3. Factor h(z).
-2*(z + 1855)**2/19
Let h = -67 + 66. Let n(g) = 3*g**2 - 5*g - 3. Let o be n(h). Factor -o*u**2 - 8 + 11 + 10*u - 8.
-5*(u - 1)**2
Let c be ((-32)/(-44))/((-324)/72*12/(-81)). Solve 2/11*d**3 - 14/11*d + c + 0*d**2 = 0.
-3, 1, 2
Let a = -8758 + 262741/30. Let t(q) be the second derivative of 1/3*q**3 + 31*q - a*q**6 + 1/2*q**2 - 1/10*q**5 + 0 + 0*q**4. Factor t(x).
-(x - 1)*(x + 1)**3