= 0.
-120, -1, 1
Factor -587*b**2 - 103 - 192*b**3 + 40*b**2 - 30*b**2 + 4*b**5 - 151*b**2 - 772*b - 161 + 32*b**4.
4*(b - 6)*(b + 1)**3*(b + 11)
Let a(n) be the second derivative of 49*n**5/100 - 189*n**4/20 + 72*n**3 - 270*n**2 + 1006*n. Suppose a(r) = 0. Calculate r.
3, 30/7
Let s = 1967391/756685 + -2/151337. Determine d, given that 64/5*d + 6/5*d**2 - 32/5 - s*d**3 + 2/5*d**4 = 0.
-2, 1/2, 4
Solve -79 - 18*k**3 + 49 + 104*k**2 + 96 + 42 + 510*k = 0 for k.
-3, -2/9, 9
Suppose -3*z - 4*u + 9 = 0, 5*u - 3 = 3*z - 4*z. Find c such that -27*c**3 - 27*c**3 + 80*c + 8*c**2 - 49*c**z + 32 + 19*c**3 - 36*c**4 = 0.
-2, -2/3, 1
Solve -52*q + 13 - 589*q**3 - 256*q**2 - 13 + 16*q**4 + 401*q**3 = 0.
-1, -1/4, 0, 13
Let o be (-48)/(-40)*86/129. Find x such that -2/5*x + o + 2/5*x**3 - 4/5*x**2 = 0.
-1, 1, 2
Let x = -1412893/5 + 282593. Factor -x*d + 4/5*d**4 - 48/5*d**2 + 8/5*d**3 + 108/5.
4*(d - 3)*(d - 1)*(d + 3)**2/5
Let s = -42888 + 85783/2. Factor -16 - 76*h**3 + 27*h**4 - s*h**5 + 88*h**2 - 24*h.
-(h - 2)**4*(7*h + 2)/2
Let i(h) be the first derivative of h**6/1800 + 7*h**5/600 + h**4/20 + 58*h**3/3 - 91. Let j(g) be the third derivative of i(g). Factor j(o).
(o + 1)*(o + 6)/5
Let v be (7/21)/(4/36). Let -245*b + 112*b + b**2 + v*b**3 + 121*b - 10*b**2 = 0. What is b?
-1, 0, 4
Solve 2250/7 + 3000/7*x + 820/7*x**2 + 2/7*x**4 + 72/7*x**3 = 0 for x.
-15, -5, -1
Suppose -23 - 58 = -21*g - 6*g. Let l(w) be the first derivative of 2/3*w**g + 5 + 1/8*w**4 + w**2 + 0*w. Factor l(u).
u*(u + 2)**2/2
Suppose -3*h + 6 = -1436*j + 1435*j, 2*h = j + 6. Let v = 23/33 - 1/33. Factor g**2 + v*g**3 + 0*g - 1/3*g**4 + h.
-g**2*(g - 3)*(g + 1)/3
Factor -2/7*k**5 + 0*k + 0 + 1152/7*k**2 + 14*k**4 - 1248/7*k**3.
-2*k**2*(k - 24)**2*(k - 1)/7
Let m = 193 - 193. Let f be (m/(15 + -10))/(2/(-1)). Factor -8/3*l**2 + l + f.
-l*(8*l - 3)/3
Let o(v) be the first derivative of v**7/4620 + v**6/660 - v**5/165 - 8*v**3/3 + 3*v - 235. Let s(a) be the third derivative of o(a). Let s(f) = 0. Calculate f.
-4, 0, 1
Factor -3894*q + 79218*q**2 - 19683/2*q**3 + 48.
-3*(q - 8)*(81*q - 2)**2/2
Suppose 2*r = j + 40, -2735*j = -2740*j + 60. Suppose -r*c + 82/5*c**3 + 8/5*c**4 + 76/5*c**2 - 36/5 = 0. Calculate c.
-9, -2, -1/4, 1
Suppose -61/3*v - 31/3 + 62/3*v**3 - 1/3*v**5 + 2/3*v**2 + 29/3*v**4 = 0. What is v?
-1, 1, 31
Let o(i) = -4*i - 37. Let k be o(-11). Let z(l) = l**2 - 5*l - 13. Let s be z(k). Factor -3*m**2 + m**4 + s + 23*m - 25*m - 1.
m*(m - 2)*(m + 1)**2
Let o = 1445 + -1393. Suppose -o*h + 60 = -44. Factor 2 - 4/3*t - 2/3*t**h.
-2*(t - 1)*(t + 3)/3
Let v = 14915 - 14895. Let t(d) be the first derivative of v*d**4 + 7*d**5 + 24 - 85/3*d**3 - 15*d**2 + 0*d. Factor t(u).
5*u*(u - 1)*(u + 3)*(7*u + 2)
Let k(g) = 73*g - 2114. Let m be k(29). Let z(n) be the first derivative of -2/3*n**m - 4*n - 21 + 3*n**2. Let z(b) = 0. Calculate b.
1, 2
Let l = -131/708 + 1363/3540. Solve 13/5*m - l*m**2 + 14/5 = 0 for m.
-1, 14
Let o(l) = 7*l**2 + 6*l - 30. Let n(q) = -13*q**2 - 11*q + 61. Let g(c) = 6*n(c) + 11*o(c). Find u such that g(u) = 0.
-6, 6
Let j = -751234/91 - -107438/13. Suppose 0 + 208/7*w**3 + 0*w - 4*w**5 - j*w**4 + 64/7*w**2 = 0. Calculate w.
-4, -2/7, 0, 2
Let t = 2646 + -2640. Let a(w) be the third derivative of 18*w**2 + 1/18*w**3 + 0*w + 0 + 1/1890*w**7 - 1/135*w**5 + 1/540*w**t - 1/108*w**4. Solve a(r) = 0.
-3, -1, 1
Let u(v) be the second derivative of v**7/12 + 17*v**6/20 + 119*v**5/40 + 121*v**4/24 + 9*v**3/2 + 2*v**2 + 162*v + 4. Suppose u(t) = 0. Calculate t.
-4, -1, -2/7
Suppose -3*v + 17 = a, -4*v + 13 = -a + 2. Suppose -2*i + 3*i = -j + 3, 0 = -v*j. Let 100*y**3 - 3*y**4 + i*y**2 - 100*y**3 = 0. Calculate y.
-1, 0, 1
Suppose 2/3 - 8/9*j**3 - 2/9*j**4 + 8/9*j - 4/9*j**2 = 0. Calculate j.
-3, -1, 1
Let l(c) be the first derivative of 1/8*c**4 + 40/3*c**3 + 0*c + 20 + 400*c**2. Solve l(z) = 0 for z.
-40, 0
Factor 488 + 510*t**3 + 798*t**2 - 5*t**4 + 137 + 2052*t - 182*t + 100*t**3 + 1062*t**2.
-5*(t - 125)*(t + 1)**3
Let h = -9 + 12. Suppose 5 = i, -4*x - h*i - 6 = -37. Factor -5*m + 8 + 9*m + 8*m + x*m**2.
4*(m + 1)*(m + 2)
Let l(d) be the third derivative of 2/21*d**7 + 0 + 34/3*d**4 + 32/3*d**3 + 37/30*d**6 + 0*d + 28/5*d**5 + 227*d**2. Determine u so that l(u) = 0.
-4, -2, -1, -2/5
Let x = -6203 - -43423/7. Let y(d) be the first derivative of -12 - 4/7*d + x*d**3 - 1/7*d**2. Factor y(p).
2*(p - 1)*(3*p + 2)/7
Suppose 0 = 3*u - 1185 - 735. Let -450*b + 206 + 187 + 12 - 160*b**3 - u*b**2 = 0. What is b?
-9/4, 1/2
Suppose -312*k - 216*k = 144 - 1200. Determine t, given that -800/11*t + 78/11*t**3 + 720/11*t**k + 2/11*t**4 + 0 = 0.
-20, 0, 1
Let x(n) be the third derivative of 7*n**5/480 - 4975*n**4/192 - 237*n**3/8 + 2202*n**2 - 2*n + 2. Suppose x(s) = 0. What is s?
-2/7, 711
Let k(h) be the third derivative of 0 + 0*h - 95*h**2 + 1/2*h**3 + 0*h**4 - 1/180*h**5. Factor k(d).
-(d - 3)*(d + 3)/3
Let f be (-17199)/(-63063) + 30/11. Determine a so that 2/3*a**2 - 5/3*a**f + 0 - 1/3*a**4 + 8*a = 0.
-4, -3, 0, 2
Suppose -3*i + 15 = -8*i. Let j(v) = -v**3 - v**2 - v - 13. Let g be j(i). Determine h so that -g*h - 3*h + 2*h**2 - h**2 + 0*h**2 = 0.
0, 11
Let t(x) be the first derivative of -21 - 1/75*x**6 - 3/50*x**5 - 1/15*x**3 - 1/10*x**4 + 0*x**2 - 2*x. Let y(r) be the first derivative of t(r). Factor y(g).
-2*g*(g + 1)**3/5
Let c(x) = -3441*x**4 + 2940*x**3 - 829*x**2 + 69*x. Let n(u) = -588*u**3 + 166*u**2 - 14*u - 1952 + 688*u**4 + 1952. Let h(i) = -4*c(i) - 22*n(i). Factor h(p).
-4*p*(7*p - 2)**3
Let j = -6113259/1016627 + 896/149. Let z = j + 2428983/34115. Suppose 138/5*a + 18/5*a**5 + 356/5*a**2 + z*a**3 + 138/5*a**4 + 18/5 = 0. Calculate a.
-3, -1, -1/3
Let p(v) = 177*v**3 + 14593*v**2 - 16468*v + 1747. Let q(g) = 88*g**3 + 7297*g**2 - 8237*g + 873. Let i(b) = 3*p(b) - 7*q(b). Factor i(j).
-5*(j - 1)*(j + 87)*(17*j - 2)
Let o = 41936/3 - 13976. Let r(i) be the second derivative of 1/90*i**6 + 6*i + 0 + 5/12*i**4 - o*i**2 - 4/9*i**3 + 2/15*i**5. Suppose r(z) = 0. What is z?
-4, -1, 1
Let p(q) be the second derivative of -q**4/84 + 23*q**3/21 + 48*q**2/7 - 86*q - 4. Factor p(n).
-(n - 48)*(n + 2)/7
Let d(l) be the third derivative of -l**5/150 + 289*l**4/15 - 334084*l**3/15 - 67*l**2 - 9*l. Factor d(h).
-2*(h - 578)**2/5
Let f = 2399017/639740 - -2/159935. Let -5/2 - 5/4*l**2 + f*l = 0. What is l?
1, 2
Factor -171*g**2 + 1176*g**2 + 744*g**3 + 99*g**3 - 6*g**4 + 5*g**4 + 845*g + 684*g**2.
-g*(g - 845)*(g + 1)**2
Let m(g) = -467*g**2 + 6550*g - 165. Let l be m(14). Let 0*i - 1/6*i**4 + 7/3*i**2 + 0 - 13/6*i**l = 0. What is i?
-14, 0, 1
Let f(s) be the third derivative of s**8/392 + 2*s**7/49 + 23*s**6/140 - s**5/7 - 6*s**4/7 - 2147*s**2. Solve f(n) = 0.
-6, -4, -1, 0, 1
Let v = -9/14956 + 22443/14956. Let y be (-1)/(1/2)*-2. Factor 0 + 0*s**y - v*s**5 - 3/2*s + 3*s**3 + 0*s**2.
-3*s*(s - 1)**2*(s + 1)**2/2
Let b = -25 + 176. Suppose 83 = 9*c - b. Factor -4*h**2 + 51 - h**2 - 15 + 5*h - c.
-5*(h - 2)*(h + 1)
Suppose -31 = -6*u + 11. Let s(r) = -2*r**3 + 15*r**2 - 6*r - 5. Let n be s(u). Suppose -w + 54*w**n - w - 53*w**2 = 0. What is w?
0, 2
Let l(c) = -3*c**2 - 3261*c + 421377. Let v(x) = -2*x**2 - 1635*x + 210690. Let a(g) = 5*l(g) - 9*v(g). Let a(u) = 0. What is u?
265
Let i = 55 + -42. Factor -175*k**3 + i + 24*k + k**4 + 22*k**2 - 4 + 183*k**3.
(k + 1)**2*(k + 3)**2
Let u(y) = -y**2 + 16*y - 15. Let q be u(15). Suppose q = 2*l + 291 - 291. Find o such that -3/2*o**5 - 3/2*o**3 + 3*o**4 + 0*o + l*o**2 + 0 = 0.
0, 1
Let d be -7 - ((-3 - 11) + -11). Let h(p) be the first derivative of 16/11*p**2 + d - 14/11*p**3 + 9/22*p**4 - 8/11*p. Factor h(o).
2*(o - 1)*(3*o - 2)**2/11
Suppose 5*j = v + 22, -3*v - 2*j + 24 - 5 = 0. Solve 7*c**2 - v*c + 20*c - 1 + 7 = 0 for c.
-2, -3/7
Factor 391*x**3 - 766*x**3 + 370*x**3 + 300 + 160*x - 5*x**2.
-5*(x - 6)*(x + 2)*(x + 5)
Let a be 21/(-175)*-5 - 3944/140. Let z = -27 - a. Let 8/7 - 10/7*w**4 - z*w**3 + 32/7*w + 30/7*w**2 = 0. Calculate w.
-1, -2/5, 2
Let l = 161 + 24. Let f = l + -911/5. Factor 4/5*v**2 - f*v**3 + 0*v + 0.
-2*v**2*(7*v - 2)/5
Let d(m) be the third derivative of -m**5/12 - 185*m**4/24 + 770*m**3/3 - 945*m**2 + m. Factor d(n).
-5*(n - 7)*(n + 44)
Factor -290521/4 - 1/4*r**2 + 539/2*r.
-(r - 539)**2/4
Let b(h) be 