h) = -22*h**3 - 11*h**2 + 17*h. Let y be l(7). Let o be y/(-70) - (8/10 + 0). What is v in -85*v**3 + 98*v**5 - 20*v**4 - o*v**5 - 30*v**2 - 50*v**4 = 0?
-3, -1, -2/3, 0
Let q = 175961/165 + -11730/11. Let d(g) be the first derivative of -64/5*g - 8/5*g**2 - 11 - q*g**3. Factor d(h).
-(h + 8)**2/5
Let a(q) be the third derivative of 0*q**4 + 0*q**3 - 6*q**2 - 7/40*q**5 + 0 + q - 1/80*q**6. Find p such that a(p) = 0.
-7, 0
Suppose -25 + 755 = 2*i. Find c, given that 0*c + 0*c - i*c**2 - c**3 + 369*c**2 + 3*c - 18 = 0.
-2, 3
Let j(c) = 3*c**2 - 635*c - 1244. Let q(i) = 8*i**2 - 1276*i - 2489. Let a(u) = 5*j(u) - 2*q(u). Factor a(l).
-(l + 2)*(l + 621)
Let v(r) be the first derivative of -r**3/5 - 579*r**2/10 + 582*r/5 - 31. Factor v(h).
-3*(h - 1)*(h + 194)/5
Let k = 2733229/71568 + -1587/1136. Let v = -256/7 + k. Solve 0 + v*b**2 + 4/9*b = 0 for b.
-2, 0
Let n(s) = -9*s**4 + 93*s**3 - 12*s**2 - 222*s - 121. Let c(q) = 2*q**4 - 23*q**3 + 3*q**2 + 56*q + 31. Let b(w) = -13*c(w) - 3*n(w). Solve b(f) = 0.
-20, -1, 2
Let v(o) be the second derivative of -6561/20*o**6 + 89*o + 2/3*o**3 + 2187/20*o**5 + 0*o**2 - 27/2*o**4 + 0. Factor v(z).
-z*(27*z - 2)**3/2
Suppose -238 = -16*m - 110. Suppose 6*t + 9 = 3*t. Let f(x) = -9*x**2 + 45*x - 54. Let k(z) = -3*z**2 + 15*z - 18. Let c(d) = m*k(d) + t*f(d). Factor c(q).
3*(q - 3)*(q - 2)
Let l = 63 + -250. Let f = l + 287. Suppose 32*s**2 + 57*s - 20*s + 36*s**3 - f*s**3 + 4 - 9*s = 0. What is s?
-1/4, 1
Let i(l) be the third derivative of l**2 + 5/336*l**8 + 5/3*l**4 - 1/4*l**6 + 0*l - 1/3*l**5 + 0*l**3 - 10 + 1/42*l**7. Find b, given that i(b) = 0.
-2, 0, 1, 2
Let d = 437854/5 - 87570. Solve -124/5*h**2 + d*h**3 + 1024/5 + 896/5*h = 0 for h.
-1, 16
Let o(f) be the third derivative of 43/15*f**5 - 4*f**2 + 23*f**4 + 7/60*f**6 - 2*f + 0 + 24*f**3. Solve o(g) = 0 for g.
-6, -2/7
Let b(j) be the first derivative of 2*j**4/5 - 1508*j**3/5 - 680*j**2 - 2268*j/5 - 7490. Solve b(a) = 0.
-1, -1/2, 567
Let f(s) be the third derivative of -s**6/840 - 359*s**5/210 - 128881*s**4/168 - 1039*s**2 - s. Factor f(g).
-g*(g + 359)**2/7
Let l = -262 + 284. Suppose -3*j = -5*j + 26. Suppose -j*w**2 + l*w - 11*w**2 - 2*w + 4 = 0. What is w?
-1/6, 1
Suppose 2916 + 472 = 44*n. Let l**4 - 9*l + 6*l**4 + 8*l**4 - 2*l**4 + n*l**3 + 111*l**2 = 0. What is l?
-3, 0, 1/13
Factor -2/7*b**2 - 64800/7 - 720/7*b.
-2*(b + 180)**2/7
Let p(y) be the first derivative of 0*y**2 - 9 + 2/3*y**6 + 0*y + 8/15*y**3 + 48/25*y**5 + 9/5*y**4. Factor p(l).
4*l**2*(l + 1)**2*(5*l + 2)/5
Let i = -503 - -506. Let t(s) be the second derivative of 0*s**2 + 1/6*s**4 + 1/3*s**6 - 2/3*s**i + 9*s + 4/5*s**5 + 0. Factor t(f).
2*f*(f + 1)**2*(5*f - 2)
Let z be (3535/(-6060))/(1*21/(-8)). Factor 0 + 1/9*x**3 + 1/9*x**2 - z*x.
x*(x - 1)*(x + 2)/9
Let z be (459 - 461)/((80/(-6))/4). Factor 4/5*t + 4/5 - z*t**2 - 4/5*t**3 - 1/5*t**4.
-(t - 1)*(t + 1)*(t + 2)**2/5
Let d(a) be the third derivative of 88*a**2 + 21/8*a**4 - a + 0 + 1/80*a**5 + 441/2*a**3. Factor d(w).
3*(w + 42)**2/4
Let m = 103520 + -1138666/11. Let -m*k**2 + 6/11*k**3 + 120/11*k + 0 = 0. Calculate k.
0, 4, 5
Let s be ((-25)/(-15)*-1)/(45/(-189)). Suppose s*m = -15*m + 12*m. Suppose q**3 + 0*q + m - 1/3*q**2 + 1/3*q**5 - q**4 = 0. What is q?
0, 1
Let a(m) = -136*m**3 + 135*m**3 + 70 - 19*m**2 - 14*m**2 + 36*m. Let s be a(-34). Factor -2/13*w**s + 6/13 - 4/13*w.
-2*(w - 1)*(w + 3)/13
Let i = 69 + -64. Factor -13*g**2 + 0*g**2 + i*g**3 + 4*g**2 - 11*g**2 - 25*g.
5*g*(g - 5)*(g + 1)
Let g(f) be the first derivative of f**5 + 2825*f**4/4 + 177660*f**3 + 16876760*f**2 + 33223360*f + 323. Solve g(b) = 0.
-188, -1
Let c be (-1 - 16/(-14))/((-9213)/(-322455)). Factor 2 + 0*x + 5/2*x**c - 19/2*x**2 + 3/2*x**4 - 17/2*x**3.
(x - 2)*(x + 1)**3*(5*x - 2)/2
Suppose -6*i - 10*i = -176. Suppose 7*v = -4*g + 8*v + i, 3*v = g - 11. Factor 10/9*d - 2/9*d**g - 8/9.
-2*(d - 4)*(d - 1)/9
Let o = 647/44 + -317/44. Let y(n) be the first derivative of 7 - 1/2*n**6 + 6/5*n**5 - 8*n**3 + 18*n + 9/2*n**4 - o*n**2. Let y(p) = 0. Calculate p.
-2, -1, 1, 3
Let s(i) = -i**3 - i**2. Let d be ((-18)/(-12))/(3/(-2)). Let m(q) = -25*q**3 + 75*q**2 + 195*q + 95. Let t(h) = d*m(h) + 30*s(h). Factor t(g).
-5*(g + 1)**2*(g + 19)
Let d(m) = 20*m**3 - 680*m**2 + 1015*m - 330. Let l(w) = -10*w**3 + 339*w**2 - 509*w + 165. Let s(g) = -3*d(g) - 5*l(g). Factor s(k).
-5*(k - 33)*(k - 1)*(2*k - 1)
Suppose 8048/3*g + 20/3*g**2 + 1072 = 0. What is g?
-402, -2/5
Let a(r) = -r**2 + 6*r + 18. Let u be a(8). Suppose -u*c - 119 = -9*c. Find i such that 2*i - 14*i**2 + 2*i**3 + c*i**2 - i**3 = 0.
-2, -1, 0
Suppose 2*m = -103 + 25. Let f = m - -42. Factor -2*p**3 + 6*p**5 - p + 4*p - 3*p**5 - 4*p**f.
3*p*(p - 1)**2*(p + 1)**2
Suppose 5*f + 16*u = 21*u + 25, 3*u + 11 = f. Suppose 0 - 4/7*s**3 + 36/7*s + 0*s**f = 0. Calculate s.
-3, 0, 3
Let j(s) = -245*s**4 + 350*s**3 + 6265*s**2 - 6480*s + 55. Let h(q) = -9*q**4 + 13*q**3 + 232*q**2 - 240*q + 2. Let o(k) = 55*h(k) - 2*j(k). Factor o(r).
-5*r*(r - 8)*(r - 1)*(r + 6)
Suppose -5*v - 5*w + 27240 = 0, 2*v + w + 6354 - 17247 = 0. Solve -241 + 418*x + 242*x - v*x**2 + 221 = 0.
2/33
Determine t so that -289/3*t**3 - 340/3 - 1928*t - 8211*t**2 = 0.
-85, -2/17
Factor 13*a + a**4 + a**4 + 17*a**2 + 11*a**2 + 11*a - 6*a**4.
-4*a*(a - 3)*(a + 1)*(a + 2)
Let a(i) = i**3 - 19*i**2 + 238*i - 3956. Let h be a(18). Let d be (-2)/(-3) - (-6)/9. Factor 0*w**2 + 0 + 2*w**5 + 0*w + 10/3*w**h + d*w**3.
2*w**3*(w + 1)*(3*w + 2)/3
Let u(p) be the second derivative of -2*p**6/15 + 16*p**5/5 - 13*p**4 - 8*p**3/3 + 104*p**2 + 1393*p + 1. Factor u(n).
-4*(n - 13)*(n - 2)**2*(n + 1)
Let b(p) be the second derivative of -p**5/20 + p**4/3 + p**3/2 + 6*p**2 + 4*p. Let c be b(5). Determine g, given that -77*g + 3 + 3 + 86*g + 3*g**c = 0.
-2, -1
Let s(j) = -j**2 - 4*j + 10. Let l be s(2). Let b be -12 - -10 - 2*l. Factor -9*g + 54 - 4*g**2 - 16*g**b - 29 - 86*g.
-5*(g + 5)*(4*g - 1)
Let q(h) be the third derivative of -h**5/120 + 32*h**4 - 49152*h**3 + 6263*h**2. Factor q(k).
-(k - 768)**2/2
Let z(w) be the second derivative of w**6/50 - 237*w**5/100 - 43*w**4/10 + 48*w**3 - 26*w + 94. Find v such that z(v) = 0.
-3, 0, 2, 80
Let b(o) = -8*o**3 + 20*o**2 - 5*o - 30. Suppose 47*u + 6 = 45*u. Let g(k) = k**3. Let m(q) = u*g(q) - b(q). Factor m(r).
5*(r - 3)*(r - 2)*(r + 1)
Let n(p) be the third derivative of -p**6/30 - 26*p**5/15 + p**4/6 + 52*p**3/3 - p**2 - 468. Factor n(t).
-4*(t - 1)*(t + 1)*(t + 26)
Suppose t = -2*g - 815, 6*t - 10*t + 3*g - 3315 = 0. Let w = 1665/2 + t. Factor 5/2*m**5 + w*m + 5*m**2 + 0*m**4 - 10*m**3 - 5.
5*(m - 1)**3*(m + 1)*(m + 2)/2
Let t(m) be the first derivative of -14*m**2 + 29/20*m**5 + 19 + 11/2*m**4 - 3/8*m**6 + 6*m**3 + 0*m. Let d(y) be the second derivative of t(y). Factor d(u).
-3*(u - 3)*(3*u + 2)*(5*u + 2)
Let g(b) be the first derivative of 4*b**3/3 - 136*b**2 - 367. Factor g(l).
4*l*(l - 68)
Solve -8*k + 0 + 0*k**2 + 2/9*k**3 = 0.
-6, 0, 6
Let h be 8/68 - 28707/(-51). Determine w so that 12957 + 5*w**2 + 34202*w - 34722*w + h = 0.
52
Suppose 94/5*k**2 - 12/5*k**3 + 12 - 142/5*k = 0. Calculate k.
5/6, 1, 6
Let n(i) be the third derivative of -i**7/840 + i**6/80 + i**5/10 - 5*i**4/24 + 19*i**3/6 + 2*i**2 + 34. Let s(o) be the second derivative of n(o). Factor s(f).
-3*(f - 4)*(f + 1)
Suppose -148*o + 245 = -113*o. Let y(l) be the second derivative of o*l + 0*l**3 + 0 + 0*l**2 - 1/50*l**5 + 1/150*l**6 + 0*l**4. Let y(z) = 0. Calculate z.
0, 2
Suppose 2*w = -4*s + 95 + 29, 20 = 5*w. Suppose 0*u + 4*u = 3*l - s, 3*u = -3*l + 15. Factor b**5 + l*b**5 - 11*b**5.
-3*b**5
Suppose 0 + 0*h + 2/3*h**5 + 7/3*h**3 + 2*h**2 - 3*h**4 = 0. Calculate h.
-1/2, 0, 2, 3
Let u(t) be the third derivative of 0 - 1/4*t**4 - 6*t + 9/70*t**7 + 0*t**3 + t**2 + 13/20*t**5 - 3/5*t**6. Let u(w) = 0. What is w?
0, 1/3, 2
Let l = -341 - -344. Factor -7*d**3 + d**l - 16*d**2 + 4*d**4 + 79*d - 87*d + 2*d**5.
2*d*(d - 2)*(d + 1)**2*(d + 2)
Let s(d) = d - 1. Let y(h) = 1. Let u(g) = -4*s(g) - 44*y(g). Let o be u(-12). Factor 4*n**5 + 5*n - 2 - 9*n + o*n**2 + 2 - 8*n**4.
4*n*(n - 1)**3*(n + 1)
Suppose -5*i + 4*q + 8 = -38, 4*i - 28 = q. Factor -3 - i - 12*y**2 + 4*y**3 - 36*y + 0 - 11.
4*(y - 5)*(y + 1)**2
Let c = 6457/109 + -678323/981. Let