Let s(j) = -4*j**3 + 12*j**2 - 2*j - 18. Let b(l) = 33*l**3 - 97*l**2 + 15*l + 145. Let n(d) = -2*b(d) - 17*s(d). Factor n(r).
2*(r - 4)*(r - 2)*(r + 1)
Let p = -7/11 - -43/33. Let h = 29/22 + 1/66. What is m in p*m**2 - 2*m + h = 0?
1, 2
Let m(x) be the first derivative of x**9/1512 + x**8/210 - 14*x**3 + 58. Let w(j) be the third derivative of m(j). Determine b so that w(b) = 0.
-4, 0
Let b = -167 + 286. Factor 5 + b*u**2 - 123*u**2 - 8*u + 4*u**3 - 5.
4*u*(u - 2)*(u + 1)
Let a(p) be the second derivative of p**7/84 + 23*p**6/30 + 609*p**5/40 + 147*p**4/2 + 9*p - 44. What is l in a(l) = 0?
-21, -4, 0
Find p, given that -198 - 189/2*p**2 - 294*p + 3/2*p**3 = 0.
-2, -1, 66
Let n(b) = 5*b**3 - 3*b**2 + b + 2. Let l be n(2). Suppose 18 = 5*i - l. Factor -5*k - 5*k + 5*k**2 - i*k + 20.
5*(k - 2)**2
Suppose 17*v = 21*v + p - 17, 0 = -4*v - 5*p + 37. Let m(t) be the first derivative of 10*t**2 - 4/3*t**v - 12 + 0*t. Find y, given that m(y) = 0.
0, 5
Let n(s) be the first derivative of -15*s**4/4 + 325*s**3/3 + 60*s**2 - 220*s - 1155. Let n(c) = 0. Calculate c.
-1, 2/3, 22
Suppose -146*r + 4275 = 144*r - 275*r. Factor -335/3*s**3 - 5/3*s**5 + 65/3*s**4 + r*s**2 + 180 - 360*s.
-5*(s - 3)**3*(s - 2)**2/3
Determine q, given that 2805/2*q - 2622675/4 - 3/4*q**2 = 0.
935
Let j(k) = -9*k**4 + 15*k**3 - 46*k**2 - 804*k - 1152. Let p(w) = -w**4 - w**3 + 2*w**2 + w + 3. Let z(m) = 3*j(m) - 24*p(m). Solve z(c) = 0.
-3, -2, 14
Suppose 5*k + 2*y = 81, -87 = -5*k - 5*y + y. Suppose -7*v + 4*v + k = 0. Factor -10*o**2 + 5*o + 11*o**4 - v*o**3 + 4*o**4 - 5*o**4.
5*o*(o - 1)*(o + 1)*(2*o - 1)
Let p(i) = -i**3 + 2*i**2 - 23*i + 30. Let q be p(10). Let n be q/252 + (-5)/(-45) - -5. Find s such that 16/7*s + 2*s**3 + n - 38/7*s**2 = 0.
-2/7, 1, 2
Let w(i) be the first derivative of -2*i**4 + 0*i + 2*i**2 + 80 + 14/3*i**3. Factor w(c).
-2*c*(c - 2)*(4*c + 1)
Let d(t) be the third derivative of -1/1620*t**6 - 19*t**2 + 0*t - 1/90*t**5 - 1/12*t**4 + 7/3*t**3 + 0. Let l(y) be the first derivative of d(y). Factor l(i).
-2*(i + 3)**2/9
Let f be (-100)/850*((-90)/54 - 254/6). Determine y, given that 74/17*y**4 + 14/17*y**5 + 132/17*y**3 + 16/17*y + f*y**2 + 0 = 0.
-2, -1, -2/7, 0
Let w(k) be the second derivative of -k**4/24 - 77*k**3/12 + 60*k**2 + 17*k - 11. Suppose w(s) = 0. Calculate s.
-80, 3
Let l(j) be the third derivative of -1/360*j**5 + 0*j**3 + 0 - 9*j**2 + 1/144*j**4 - j. Factor l(i).
-i*(i - 1)/6
Let h = -10/439 + 11005/1317. Solve -5/6*y - 1/6*y**3 - h + 4/3*y**2 = 0.
-2, 5
Let f(p) be the first derivative of 4*p**3/3 - 574*p**2 + 3408*p - 15052. Factor f(t).
4*(t - 284)*(t - 3)
Solve 147*s**3 + s**4 - 285*s**3 + 215*s**3 + 79*s - 157*s**2 = 0 for s.
-79, 0, 1
Factor 0 + 0*w + 5/2*w**4 + 7035/4*w**3 + 3515/4*w**2.
5*w**2*(w + 703)*(2*w + 1)/4
Let w(a) be the first derivative of -a**3/2 - 117*a**2 - 9126*a - 567. Factor w(v).
-3*(v + 78)**2/2
Suppose -1606 + 1600 = -3*r. Factor -116 + 18 - 3*w**r - 22 + 298*w - 82*w - 93.
-3*(w - 71)*(w - 1)
Factor 5/3 + 1/6*k**2 - 11/6*k.
(k - 10)*(k - 1)/6
Find m such that 10/21*m**4 + 104/21*m**2 + 32/21*m + 64/21*m**3 + 0 = 0.
-4, -2, -2/5, 0
Let v be ((0 + 30)/(((-690)/45)/46))/(-8). What is f in -v*f**2 + 59/2*f - 10 = 0?
2/5, 20/9
Let s be 551598/71448 + -7 + (-1)/4. Let i = s + -2/229. Suppose -2/13*m - 8/13*m**2 + 0 - i*m**3 = 0. What is m?
-1, -1/3, 0
Suppose 0 = 19*s + 14*s - 66. Let -124*u**3 - 10*u**4 - 20 - 4*u**4 - 160*u + 22*u**3 - 182*u**s + 46*u = 0. What is u?
-5, -1, -2/7
Solve 4/7*h**4 + 4/7*h**2 - 8/7 - 12/7*h**3 + 12/7*h = 0 for h.
-1, 1, 2
Suppose -2*m + 4*m - 4 = 0, -5*n = 2*m + 166. Let s be n/(-136)*(-16)/(-18). Determine q so that s*q**4 + 8/9*q**3 + 8/9*q + 4/3*q**2 + 2/9 = 0.
-1
Let p(n) be the first derivative of n**7/4620 - n**6/330 - 7*n**5/660 - 9*n**3 + 15. Let d(o) be the third derivative of p(o). Factor d(q).
2*q*(q - 7)*(q + 1)/11
Factor -845*y - 1658*y + 16*y**2 - 11*y**2 - 1784*y + 1352*y - 5890.
5*(y - 589)*(y + 2)
Let o = 184131 + -2023929/11. Let f = o - 10518/77. Solve 0 + f*c**2 - 12/7*c = 0.
0, 2
Let f be (-1 - -9)/(215540/12435). Suppose -2*w = -1 - 3. Solve 4/13*z - 2/13*z**4 + 6/13*z**5 - 18/13*z**3 - f*z**w + 0 = 0 for z.
-1, 0, 1/3, 2
Let s(x) be the first derivative of -2*x**5/55 + 147*x**4/22 - 292*x**3/33 + 1329. Suppose s(z) = 0. Calculate z.
0, 1, 146
Let b(j) be the second derivative of -3*j**5/70 - 25*j**4/84 + 2*j**3/7 + 5*j**2/2 + 11*j - 2. Let p(a) be the first derivative of b(a). Factor p(g).
-2*(g + 3)*(9*g - 2)/7
Let t(h) be the first derivative of -h**3/6 - 22*h**2 + 89*h/2 + 5912. Let t(g) = 0. Calculate g.
-89, 1
Let o(f) be the second derivative of 8*f**6/15 - 13*f**5/5 + 11*f**4/3 - 4*f**3/3 + 382*f - 2. Find b, given that o(b) = 0.
0, 1/4, 1, 2
Let c(b) = -17*b**4 - 51*b**3 - 71*b**2 + 225*b + 250. Let d(f) = 36*f**4 + 103*f**3 + 143*f**2 - 450*f - 500. Let y(u) = -13*c(u) - 6*d(u). Factor y(z).
5*(z - 2)*(z + 1)*(z + 5)**2
Let q = 7 - 4. Factor 260*a - 3*a**4 - a**5 - 260*a + q*a**2 + a**3.
-a**2*(a - 1)*(a + 1)*(a + 3)
Let b be (-2)/(-3)*(147 + -144). Let k(i) be the second derivative of -1/5*i**b + 1/12*i**4 + 25*i + 0 - 1/25*i**5 + 7/30*i**3. What is n in k(n) = 0?
-1, 1/4, 2
Let d(j) be the second derivative of 2*j**2 + 19/6*j**4 + 13/3*j**3 - 4*j - 4 - 13/10*j**5 - 7/5*j**6. Solve d(k) = 0 for k.
-1, -1/3, -2/7, 1
Factor -1093/6*y - 1/6*y**3 + 274/3*y**2 + 91.
-(y - 546)*(y - 1)**2/6
Let k(y) = 7*y**2 + y + 12. Let u(f) = -15*f**2 - f - 25. Suppose s = 2*s - 13. Let v(a) = s*k(a) + 6*u(a). Factor v(z).
(z + 1)*(z + 6)
Let c(j) = -2*j**3 - 14915*j**2 - 37051345*j - 30690868195. Let a(i) = i**3 + 7457*i**2 + 18525673*i + 15345434103. Let q(x) = 5*a(x) + 2*c(x). Factor q(r).
(r + 2485)**3
Let n(f) = -15*f**3 - 2560*f**2 + 2585*f + 5200. Let w(b) = -20*b**3 - 3413*b**2 + 3447*b + 6931. Let a(r) = -13*n(r) + 10*w(r). Factor a(s).
-5*(s - 2)*(s + 1)*(s + 171)
Let f(o) = -8*o**3 + 204*o**2 + 10080*o + 90880. Let j(b) = 25*b**3 - 615*b**2 - 30240*b - 272640. Let a(y) = 10*f(y) + 3*j(y). Factor a(q).
-5*(q - 71)*(q + 16)**2
Suppose 14*m - 6 = 50. Solve 9 - 15*g + 0 + 1 - 75*g**m - 9*g**2 - 66*g**2 + 155*g**3 = 0 for g.
-1/3, 2/5, 1
Let k(d) be the second derivative of 2*d**7/21 - 864*d**6/5 + 559872*d**5/5 - 26873856*d**4 + 2006*d. Suppose k(s) = 0. What is s?
0, 432
Let c be 3/6 + (42/4)/7. Factor 6 - 11*v + c*v + 3*v**4 - 15*v**2 + 6 - 170*v**3 + 179*v**3.
3*(v - 1)**2*(v + 1)*(v + 4)
Let z be 0/(-8)*(-50)/500. Find h, given that 0 - 1/5*h**2 + z*h = 0.
0
Let q(r) be the second derivative of -5/3*r**4 - 4*r**3 + r + 0*r**2 - 17 - 1/5*r**5. Factor q(j).
-4*j*(j + 2)*(j + 3)
Let h = -163 + 165. Factor -21 - 34*g + 10*g**3 - 32 + 2*g**4 - 20 + 53 - 6*g**h.
2*(g - 2)*(g + 1)**2*(g + 5)
Suppose -8*z - 5*q = -7*z + 298, -2*q + 1355 = -5*z. Let n be -1 - (z/15)/13. Factor n*u**3 + 0 - 2*u**2 + 12/5*u.
2*u*(u - 3)*(u - 2)/5
Let k(d) be the first derivative of -d**7/490 + d**6/140 + 2*d**5/35 + 175*d**2/2 + 116. Let c(s) be the second derivative of k(s). Factor c(b).
-3*b**2*(b - 4)*(b + 2)/7
Solve 3528/19*s**2 + 3524/19 + 2/19*s**3 + 7050/19*s = 0.
-1762, -1
Let r = -802 + 1179. Let d = r - 5653/15. Find c such that 2/5*c + 2/15 + d*c**3 + 2/5*c**2 = 0.
-1
Let n(r) be the first derivative of -4*r**5/25 - r**4/5 + 28*r**3/15 + 26*r**2/5 + 24*r/5 - 251. Let n(h) = 0. Calculate h.
-2, -1, 3
Find h, given that 5*h**4 + 180*h**3 + 1234*h - 40*h**3 + 135*h**2 - 1234*h = 0.
-27, -1, 0
Let d be -4 - (4597/15 - 2/3). Let i = d + 311. Solve -i*l**3 - 28/5*l**2 - 12/5 - 34/5*l = 0.
-3, -1, -2/3
Let d(q) be the third derivative of q**7/420 - q**6/90 + 107*q**3/6 + 3*q**2 + 12. Let k(n) be the first derivative of d(n). Suppose k(t) = 0. Calculate t.
0, 2
Let r(y) be the second derivative of -2*y**6/15 - 36*y**5/5 + 13*y**4 + 148*y**3/3 - 3*y + 53. Factor r(j).
-4*j*(j - 2)*(j + 1)*(j + 37)
Solve -1/4*r**2 - 67081/4 - 259/2*r = 0 for r.
-259
Let g be 612 + ((-10)/25 - 0)*15. Let y = -603 + g. Let 0*i + 0 - 5/2*i**5 + 5/2*i**y + 15/2*i**4 - 15/2*i**2 = 0. What is i?
-1, 0, 1, 3
Let w = 2879 - 2875. Let q(t) be the first derivative of 4/3*t**3 - 16*t + 8 - 2*t**w + 16*t**2. Factor q(a).
-4*(a - 2)*(a + 2)*(2*a - 1)
Let l be 3/(-27)*3*-1*6. Suppose 2*z - 8 = -l. Factor 0*q + 0 + 1