 + 1 + s. Suppose -5*u**4 - 14 - 3*u**3 + 5*u**n + 14 + 5*u - 2*u**3 = 0. What is u?
-1, 0, 1
Suppose 2*y - 2 = 0, -7*l = -6*l - 5*y - 34. Let n = l + -8. Suppose -41*k + 5176 + 4*k**2 - n*k - 4852 = 0. What is k?
9
Suppose -13*x + 10*x = -54. Suppose 0 = 5*o - x + 8. Factor -o - 5*j**2 + 3*j**2 - 5*j + 9*j.
-2*(j - 1)**2
Let g be 39/2 + 390/(-52). Let p(r) be the second derivative of -1/2*r**4 + 0 - 2*r**2 - g*r + 5/3*r**3. Suppose p(q) = 0. Calculate q.
2/3, 1
Let b(u) be the second derivative of 98/69*u**3 + 116*u - 2401/23*u**2 + 2 - 1/138*u**4. Let b(q) = 0. What is q?
49
Let t(x) be the second derivative of 0 + 3*x**3 - 50*x - 9/20*x**5 + 1/14*x**7 - 7/4*x**4 + 0*x**2 + 3/10*x**6. Factor t(q).
3*q*(q - 1)**2*(q + 2)*(q + 3)
Suppose 4*q**3 + 1/3*q**4 + 20/3*q + 14*q**2 - 25 = 0. What is q?
-5, -3, 1
Let l(n) be the second derivative of 4*n**3 - 23/3*n**4 + 0 + 13/10*n**5 + 36*n + 72*n**2 - 1/15*n**6. Suppose l(c) = 0. Calculate c.
-1, 2, 6
Suppose 5*y - 28 = -d, d = -0*d + 2*y - 7. Solve -3*j**2 + 31*j**3 - 33*j**d + 7*j**2 + 2*j - 4 = 0 for j.
-1, 1, 2
Let j(n) be the second derivative of 1/5*n**6 - 1/14*n**7 + 2*n**3 - 2*n**4 + 0*n**2 + n - 6 + 9/20*n**5. Suppose j(q) = 0. Calculate q.
-2, 0, 1, 2
Factor -61518 + 642976*s + 206740 + 2*s**3 + 89456 + 171481 + 234553 + 2266*s**2.
2*(s + 1)*(s + 566)**2
Let h = -1371677 - -1371680. Determine p, given that 0 - 2/3*p**2 - 4/9*p**h + 0*p + 2/9*p**4 = 0.
-1, 0, 3
Suppose 2*h - 26 = -2*t, -7*t = -4*h - 6*t + 32. Let z(c) be the first derivative of 1/16*c**4 + h + 3/8*c**2 - 1/20*c**5 + 0*c + 5/12*c**3. Factor z(n).
-n*(n - 3)*(n + 1)**2/4
Let c(a) be the first derivative of 16*a**3/3 - 2590*a**2 - 1296*a - 80. Determine j, given that c(j) = 0.
-1/4, 324
Let j = -199324 - -199329. Let -2*q**2 - 18/5*q**3 + 14/5*q**j + 0 + 4/5*q + 2*q**4 = 0. What is q?
-1, 0, 2/7, 1
Let h(g) be the third derivative of g**7/1050 - 33*g**6/25 + 79*g**5/10 - 296*g**4/15 + 263*g**3/10 + 2*g**2 - 210*g. Determine u, given that h(u) = 0.
1, 789
Let g be (-1)/7 - (-102)/(-21). Let r be (g/((-350)/(-20)))/((-3)/14). Determine z so that -4/3*z**2 + r*z**4 + 0 - 1/3*z**3 + 1/3*z = 0.
-1, 0, 1/4, 1
Let d be ((-4)/6)/(31 - 29)*(-7 + -1 - 1). Factor 72*k + 33/2*k**2 - 216 + 3/4*k**d.
3*(k - 2)*(k + 12)**2/4
Let w(j) = 7*j**3 + 39*j**2 - 38*j - 100. Let k(g) = 10*g**3 + 80*g**2 - 75*g - 200. Let d(f) = 2*k(f) - 5*w(f). Factor d(q).
-5*(q + 2)**2*(3*q - 5)
Factor -423/5*k - 3/5*k**3 - 594/5 - 84/5*k**2.
-3*(k + 3)**2*(k + 22)/5
Let i(v) be the first derivative of -3/16*v**4 + 6/5*v**5 + 126 - 1/2*v**3 - 5/8*v**6 + 0*v**2 + 0*v. Factor i(j).
-3*j**2*(j - 1)**2*(5*j + 2)/4
Let w be 2/(-20) - (-1891)/610. Suppose -w*b + 6 = -0. Determine h so that -3/2*h + 0*h**b + 0 + 3/2*h**3 = 0.
-1, 0, 1
Let l(t) be the first derivative of -2/3*t**3 - 64 + 1/2*t**4 + 0*t**2 + 0*t. Suppose l(o) = 0. What is o?
0, 1
Determine y so that 14/5*y**5 - 8316/5*y + 934/5*y**3 - 3888/5 - 438*y**2 + 246/5*y**4 = 0.
-9, -2, -4/7, 3
Suppose -18*c - 13800 = -3*c. Let w = 4602/5 + c. Solve 2/5*a**3 - w + 2/5*a**2 - 2/5*a = 0 for a.
-1, 1
Suppose -135 = -63*z - 9*z + 9. Let l(f) be the third derivative of 0 - 1/12*f**4 + 2/15*f**5 + 1/12*f**6 + 0*f + 0*f**3 - z*f**2. Determine r so that l(r) = 0.
-1, 0, 1/5
Let c(j) be the second derivative of 0*j**2 - 1/150*j**5 + 13/6*j**3 + 0*j**4 + 0 + 1/2700*j**6 + 17*j. Let n(r) be the second derivative of c(r). Factor n(o).
2*o*(o - 6)/15
Factor 41150568*q - 321465/2*q**3 - 1707/2*q**4 - 41807226 - 19597173/2*q**2 - 3/2*q**5.
-3*(q - 2)**2*(q + 191)**3/2
Let y(d) be the third derivative of d**8/84 - 4*d**7/35 - 9*d**6/10 + 212*d**5/15 - 54*d**4 + 96*d**3 - 252*d**2 - 4. Find w, given that y(w) = 0.
-6, 1, 4, 6
Let k(j) be the first derivative of -3*j**5/20 + 105*j**4/16 - 31*j**3 - 4775. Solve k(q) = 0.
0, 4, 31
Let l(c) = -6*c**4 + c**3 + c**2 - c - 1. Let t(h) = 67*h**4 - 78*h**3 - 371*h**2 + 11*h + 11. Let d(b) = -11*l(b) - t(b). Factor d(q).
-q**2*(q - 72)*(q + 5)
Let w be (-25740)/1716*(3 - 6 - (-61)/21). What is l in w*l**3 - 2/7*l**4 + 6/7*l**2 + 108/7 - 90/7*l = 0?
-3, 2, 3
Suppose -8448 + 414 = -13*m. Let z = m - 618. Factor -3/5*s**4 + z - 12/5*s + 0*s**2 + 9/5*s**3.
-3*s*(s - 2)**2*(s + 1)/5
Let j be 14070/1273 - (-1)/(-19) - 2021/(-215). Factor j*c**2 - 198/5*c - 2/5*c**3 + 98/5.
-2*(c - 49)*(c - 1)**2/5
Let t(y) be the second derivative of -y**5/50 - y**4/15 + 7*y**3/3 + y - 2546. Suppose t(o) = 0. Calculate o.
-7, 0, 5
Let o(f) be the third derivative of -1/20*f**6 - 9*f**2 + 0 + 2*f - 3/2*f**4 + 11/20*f**5 - 9/2*f**3. Factor o(a).
-3*(a - 3)**2*(2*a + 1)
Let a(w) = -12*w**3 - 5*w**2 + w + 3. Let d be a(1). Let j be 4/18 + d/(-143)*0. Factor 4/9*o + j*o**2 + 2/9.
2*(o + 1)**2/9
Let p(s) be the first derivative of 3*s**4/4 - 63*s**3 + 684*s**2 - 2640*s + 2266. Solve p(v) = 0.
4, 55
Let m = 149 - 155. Let t(w) = 4*w**3 + 6*w**2 + 9*w - 19. Let r(c) = 5*c**3 + 5*c**2 + 8*c - 18. Let p(o) = m*t(o) + 5*r(o). Factor p(l).
(l - 12)*(l - 1)*(l + 2)
Let c = -2300/37 + 11611/185. Factor 24/5 - 51/5*p + 6*p**2 - c*p**3.
-3*(p - 8)*(p - 1)**2/5
Let g(q) be the first derivative of q**6/9 + 41*q**5/30 + 25*q**4/8 - 125*q**3/18 - 79*q**2/12 + 14*q + 7628. Determine b so that g(b) = 0.
-7, -4, -1, 3/4, 1
Let u be (-54)/12*(-44)/(-33). Let p be (-2883)/(-3255) + u/10. Factor 16/7 - 12/7*y**2 - 2/7*y**3 + 8/7*y + p*y**4.
2*(y - 2)**2*(y + 1)*(y + 2)/7
Let f(i) = 15*i - 7. Let t be f(-3). Let l = -49 - t. Suppose x**3 - 17*x**3 - 2*x**2 - 4*x**4 + 6*x**3 + x + 3*x**l = 0. What is x?
-1, 0, 1/4
Suppose 14 - 8 = 3*a. Suppose f - 3*z = -a*f + 12, 4*f = 5*z + 17. Factor -12*u**2 - 5*u**3 + 171*u + f*u**3 - u**3 - 183*u.
-3*u*(u + 2)**2
Let h(j) be the first derivative of 9/8*j**2 + 46*j + 15 - 5/8*j**3 - 1/80*j**5 + 7/48*j**4. Let s(d) be the first derivative of h(d). Solve s(q) = 0.
1, 3
Let c = -726 - -727. Let i be (c + -4)/(-12) + 8/96. Factor -1/9*s**3 - i*s**2 + 0 + 4/9*s.
-s*(s - 1)*(s + 4)/9
Factor 0 - 18/5*q + 21/5*q**2 - 1/5*q**4 - 2/5*q**3.
-q*(q - 3)*(q - 1)*(q + 6)/5
Let -366/5*o**2 - 62/5*o**3 + 368/5 + 62/5*o - 2/5*o**4 = 0. Calculate o.
-23, -8, -1, 1
Let j be -339*(-8)/60 + (-32)/80. Let q = 707/15 - j. Factor 0 - q*w**3 + 5/3*w**4 - 8/3*w**2 + 4/3*w.
w*(w - 2)*(w + 1)*(5*w - 2)/3
Suppose 8*w = 8 + 24. Let g = 1715 + -6857/4. Determine j, given that 0*j + 0 - 3*j**2 + w*j**3 + g*j**4 = 0.
-6, 0, 2/3
Let c(d) = 62*d - 241. Let n be c(9). Suppose -7*x - 317 = -n. Suppose -12/5*p**2 + 4/5*p**3 + 8/5*p + x = 0. Calculate p.
0, 1, 2
Let r = -28/37 - -2008/111. Find k such that r*k**3 + 4/3*k**5 + 28/3*k**4 - 32/3 + 4/3*k**2 - 56/3*k = 0.
-4, -2, -1, 1
Let b(x) = 118*x + 944. Let g be b(-8). Let j(n) be the first derivative of 8/3*n**3 + g*n**4 - 2/3*n**6 + 0*n - 30 - 8/5*n**5 + 2*n**2. Factor j(v).
-4*v*(v - 1)*(v + 1)**3
Let z = -107 - -107. Suppose -2*n - 9*n + 22 = z. Suppose 11*q**4 - q**4 - 4*q**4 - 6*q**5 + 4*q**4 + 8*q**3 - 8*q**n = 0. What is q?
-1, 0, 2/3, 2
Let -138 + 453/5*b + 21/5*b**2 = 0. Calculate b.
-23, 10/7
Let t = 83 - 67. Suppose -59*g**3 + 20*g**3 - 2*g**5 + 35*g**3 + t*g**2 - 10*g**4 = 0. What is g?
-4, -2, 0, 1
Let c(t) be the first derivative of -2/45*t**5 + 0*t + 0*t**2 + 7/18*t**4 - 20/27*t**3 + 87. Factor c(v).
-2*v**2*(v - 5)*(v - 2)/9
Suppose -2*f = 5*b - 19, -b + 786*f - 787*f + 5 = 0. Factor 1/2*g**4 - 2 + 5/2*g**b + 3/2*g**2 - 5/2*g.
(g - 1)*(g + 1)**2*(g + 4)/2
Let s(f) be the third derivative of 0*f**4 - 38*f**2 + 11/10*f**6 - 121/5*f**5 - 1/70*f**7 + 0 + 0*f**3 + 0*f. Solve s(h) = 0 for h.
0, 22
Suppose -8 = 5*s - 5*x - 13, 0 = 5*s - 3*x - 9. Factor -6*i**3 + 3 - i**3 - s*i**2 - 3*i**3 + 9*i**3 + i.
-(i - 1)*(i + 1)*(i + 3)
Let 109*m**5 - 235*m**2 - 2*m**4 - 111*m**5 + 13*m**2 + 118*m**3 + 108*m = 0. What is m?
-9, 0, 1, 6
Suppose 60 = -2*h - 4*h. Let l be (-4)/h*(17 - 7). Factor 3*r**5 + 6*r - l*r**4 + r**2 + 2*r**4 - r**4 + 2*r**2 - 9*r**3.
3*r*(r - 2)*(r - 1)*(r + 1)**2
Let n(l) be the second derivative of l**6/210 + 319*l**5/140 - 641*l**4/84 + 107*l**3/14 + 4198*l. Factor n(c).
c*(c - 1)**2*(c + 321)/7
Let q(d) = 2*d**3 - 1569*d**2 - 25644*d - 118011. Let u(k) = -314*k**2 - 5128*k - 23602. Let l(n) = -2*q(n) + 11*u(n). Factor l(t).
-4*(t + 10)**2*(t + 59)
Let f be (0 - 7