(-9)/21)/((-495)/220 - 177/(-84)). Suppose -2/5*x**y + 8/5*x + 6/5*x**2 + 0 = 0. What is x?
-1, 0, 4
Suppose -38*g = 4*c - 36*g + 8, 76 = 4*c - 5*g. Factor -4*h**2 + 3*h**3 + 9/2 - 1/2*h**c - 3*h.
-(h - 3)**2*(h - 1)*(h + 1)/2
Suppose c**3 - 5*c**2 + c**2 + 2418 - 480*c + 6382 - 14*c**2 = 0. What is c?
-22, 20
Let u(b) be the first derivative of b**6/10 + 174*b**5/25 - 3*b**4/4 - 58*b**3 + 6*b**2/5 + 696*b/5 - 1320. Determine y, given that u(y) = 0.
-58, -2, -1, 1, 2
Suppose -5*i - 84*m + 81*m = -75, 0 = -i + 5*m - 13. Let h(a) be the second derivative of i*a + 0 - 3*a**2 + 7/6*a**3 - 1/12*a**4. Factor h(p).
-(p - 6)*(p - 1)
Let n = 131160316/197115 + 1/39423. Let i = -665 + n. Let -1/5*w**5 + 3/5*w + 3/5*w**4 - i*w**3 - 1/5 - 2/5*w**2 = 0. What is w?
-1, 1
Let v(u) be the first derivative of -9*u**4 + 13*u**4 + 18*u**2 - 5*u - 61 + 16*u**3 + 5*u. Factor v(a).
4*a*(2*a + 3)**2
Let l be ((-21)/6)/(-27 - 2626/(-104)). Factor 2/5*a**3 - 22/5*a - 4/5*a**l + 24/5.
2*(a - 4)*(a - 1)*(a + 3)/5
Let b(s) be the first derivative of 6/5*s + 69/10*s**2 - 109 + 11/5*s**3. Factor b(h).
3*(h + 2)*(11*h + 1)/5
Let z = 35/87 + -1/435. Let y(j) be the first derivative of 1/6*j**6 - 8/3*j**3 + z*j**5 - 2*j - 1/2*j**4 - 5 - 7/2*j**2. Factor y(o).
(o - 2)*(o + 1)**4
Let q be ((-74)/(-185))/((-1)/35). Let u be ((-5 - q)/3)/1. Factor -2/11*v**u - 2/11*v**5 + 0 - 4/11*v**4 + 0*v + 0*v**2.
-2*v**3*(v + 1)**2/11
Let h be (5/3)/(9/(-351)). Let v be 2*2/2 + 67 + h. Factor 1/8*m**v - 1/8*m**2 + 1/8*m**3 + 0 - 1/8*m.
m*(m - 1)*(m + 1)**2/8
Let m = -5817 + 698041/120. Let z(u) be the third derivative of -12*u**2 + 0 - 1/4*u**3 - m*u**5 + 0*u + 1/12*u**4. Factor z(r).
-(r - 3)*(r - 1)/2
Suppose -4*i + 5*k = 133, 3*k = -i - i - 39. Let c = 35 + i. Determine u, given that -5*u**5 + 136 - 8*u**3 + 4*u**2 - 132 + 10*u + 3*u**5 - c*u**4 = 0.
-2, -1, 1
Suppose -5*h - 288 = -5*f + 82, 3*h = 5*f - 226. Let p = -68 - h. Solve -3*a + 5*a**4 + 8*a + 9*a**4 + a**p + 35*a**3 + 25*a**2 = 0.
-1, -1/3, 0
What is o in -3*o**5 - 7 + 7125*o**4 + 14*o**2 - 7132*o**4 + 2*o**5 + 2*o**3 - o = 0?
-7, -1, 1
Let i(u) = -u**3 + 8*u**2 + 10*u - 12. Let p be i(9). Let b be 16/72*(15 + p). Factor 0 + 8/3*s**4 - b*s**3 + 0*s**2 + 0*s - 2/3*s**5.
-2*s**3*(s - 2)**2/3
Let h(r) be the first derivative of -27 - 3/4*r**4 + 0*r - 7/120*r**6 + 0*r**2 + 7/3*r**3 + 23/40*r**5. Let n(y) be the third derivative of h(y). Factor n(d).
-3*(d - 3)*(7*d - 2)
Let b be 9 - (-1)/(7/183). Let i = -35 + b. Factor i - 3/7*u - 4/7*u**2.
-(u + 1)*(4*u - 1)/7
Let i = -1 + 6. Find z such that -z**4 + z**2 - 4*z**2 + 10*z**5 - 9*z**5 + 0*z**5 - i*z**3 = 0.
-1, 0, 3
Let z(r) = -6*r**2 + 18*r + 24. Let l = -154 - -151. Let f(v) = -5*v**2 + 18*v + 23. Let x(o) = l*f(o) + 2*z(o). Factor x(g).
3*(g - 7)*(g + 1)
Suppose 14 = 2*z + 3*d, 3*d - 761 = -5*z - 735. Solve -8/7 + 4*w + 20/7*w**3 - 36/7*w**2 - 4/7*w**z = 0.
1, 2
Let s be 55/(2695/14) + ((-222)/42 - -5). Solve -2/23*g**3 + s + 14/23*g**2 - 12/23*g = 0.
0, 1, 6
Let x(v) = v**2 - 25*v + 72. Let n be x(21). Let b = n - -26. Factor -12 + 5 + 1 + 2 + b*f + 8*f**2.
2*(f + 2)*(4*f - 1)
Let m be (1 - 4) + 3/(3/13). Suppose -2*y = -22 - m. Factor 10*t**3 - 29*t**3 - 2*t**4 - y*t**3 - 13*t**4 - 10*t**2.
-5*t**2*(t + 2)*(3*t + 1)
Let t(u) be the first derivative of 0*u - 14 + 4*u**2 - 3*u**4 - 4/3*u**3 + 4/5*u**5 + 2/3*u**6. Suppose t(v) = 0. Calculate v.
-2, -1, 0, 1
Let c(k) be the first derivative of 2*k**6/5 - 51*k**5/25 + 17*k**3/5 - 6*k**2/5 - 978. Let c(m) = 0. Calculate m.
-1, 0, 1/4, 1, 4
Suppose -4*k + 101 + 3 = 0. Suppose -5*h - 49 = -5*g + k, 25 = -5*h. Suppose 15*q**2 + 2 - 38*q**3 + g*q + 43*q**3 - 2 = 0. Calculate q.
-2, -1, 0
Let d(f) = f**3 + 14*f**2 - 103*f - 110. Let j(b) = b**3 + 16*b**2 - 103*b - 109. Let v(l) = -3*d(l) + 2*j(l). Factor v(h).
-(h - 7)*(h + 1)*(h + 16)
Let g be 7*((-752)/56 + 13)*(-2)/9. Factor 8/7*w - 2/21*w**4 + 0 - 32/21*w**2 + g*w**3.
-2*w*(w - 3)*(w - 2)**2/21
Let u(d) be the second derivative of 2*d**7/21 - 976*d**6/15 + 60022*d**5/5 - 39528*d**4 + 39366*d**3 + 2814*d. Factor u(c).
4*c*(c - 243)**2*(c - 1)**2
Let r be (36839/3927 - 18/2)*192. What is m in -2/7*m**2 - 64/7*m - r = 0?
-16
Let w = 4762 + -4758. Let d(c) be the first derivative of -c**2 + w*c - 2/3*c**3 - 1. Suppose d(y) = 0. What is y?
-2, 1
Let m = 85 - 82. Let -15*b**2 + 9*b**3 - 11*b**3 - 18*b + m*b**2 - 8 = 0. Calculate b.
-4, -1
Let u(a) be the third derivative of a**9/5040 - 7*a**8/720 - 17*a**7/630 - 167*a**5/60 - a**2 + 86*a. Let s(b) be the third derivative of u(b). Factor s(x).
4*x*(x - 17)*(3*x + 2)
Suppose 4*l + 2*x - 6 = 10, 28 = 2*l - 4*x. Suppose 0 = 5*m - 12 - 3. Factor 4 - 4*n**2 + n**m + 6*n**4 + 2*n**5 - 6 - l*n + 3*n**3.
2*(n - 1)*(n + 1)**4
Let t(k) = -8*k**4 + 21*k**3 + 183*k**2 + 191*k - 3. Let o(h) = -9*h**4 + 18*h**3 + 184*h**2 + 188*h - 4. Let g(a) = 3*o(a) - 4*t(a). Factor g(v).
5*v*(v - 10)*(v + 2)**2
Let s be 298/(-8)*(-18)/(-1287)*13. Let f = s - -80/11. Solve 1/8*r**2 + f*r + 0 = 0.
-4, 0
Let r(m) be the first derivative of -m**3/3 + 7*m**2 - 36*m - 186. Let s be r(10). Suppose -2/3 + 1/3*y**s + 1/3*y**2 - y**3 + y = 0. Calculate y.
-1, 1, 2
Solve t**3 - 245*t - 70*t**2 - 7*t**3 + 5*t**3 - 180 + 2*t**3 - 6*t**3 = 0.
-9, -4, -1
Let o = 1715 + -1090. Let m = 625 - o. Factor 0 + 15/4*u**4 + m*u + 0*u**2 - 1/2*u**3.
u**3*(15*u - 2)/4
Let a(t) be the second derivative of -t**7/4620 + 7*t**6/1980 + 2*t**5/165 - 29*t**3/3 + 158*t. Let r(z) be the second derivative of a(z). Factor r(p).
-2*p*(p - 8)*(p + 1)/11
Suppose 5*a = 20, -7*p + 2*p - 2*a = -188. Let n be (944/(-885))/((-1)/p*2). Find z, given that 168/5*z**2 - 3/5*z**5 + 27/5*z**4 + 48/5 - 144/5*z - n*z**3 = 0.
1, 2
Let f be (-6)/2 + (-32)/(-8). Suppose -k = -14 - f. Factor 5*w**3 + 5*w**3 + 5*w**5 - 15*w - 10*w**2 - 6 + 1 + k*w**4.
5*(w - 1)*(w + 1)**4
Factor 18*q - 2/5*q**2 + 612/5.
-2*(q - 51)*(q + 6)/5
Let a be (-5)/(-4) + 50/(-40). Let u(t) be the third derivative of 0 - 1/210*t**7 - 4*t**2 + 0*t**3 - 1/30*t**5 + a*t**4 + 1/40*t**6 + 0*t. Factor u(w).
-w**2*(w - 2)*(w - 1)
Let a(q) = -5*q**2 - 495*q - 128. Let p(n) = 14*n**2 + 1483*n + 377. Let b(m) = -14*a(m) - 4*p(m). Factor b(k).
2*(k + 71)*(7*k + 2)
Let c(b) be the second derivative of 5*b**7/84 - 2*b**6/15 - 81*b**5/10 - 116*b**4/3 - 80*b**3/3 + 1743*b. Determine t so that c(t) = 0.
-4, -2/5, 0, 10
Let q(a) = 28*a**2 - 1163*a - 544. Let u be q(42). Factor -48/5 - 6/5*o**3 + 2/5*o**4 - 12/5*o**u + 56/5*o.
2*(o - 2)**3*(o + 3)/5
Let q be (-1 - (-37)/7)/(8/(-112)). Let g = q + 63. Factor -g*j**2 + 15*j - 20 + 9*j + 3*j**2 - 4*j**2.
-4*(j - 5)*(j - 1)
Let h(l) be the third derivative of l**8/160 + 31*l**7/840 + l**6/12 + 3*l**5/40 - 7*l**4/4 + l**2. Let d(r) be the second derivative of h(r). Factor d(n).
3*(n + 1)**2*(14*n + 3)
Let g(q) be the second derivative of -21/80*q**5 + 2*q + 9/4*q**2 - 17/8*q**3 + 17/16*q**4 - 8 + 1/40*q**6. Determine i, given that g(i) = 0.
1, 2, 3
Let v be (-4)/10 - (6 + 2532/(-400)). Let h = v - -477/1100. Factor -2/11 - 2/11*g**2 - h*g.
-2*(g + 1)**2/11
Find p such that -642*p - 2*p**2 - 116595 + 26707 - 206*p = 0.
-212
Factor 1338*p**4 - 2/3*p**5 - 673346*p**3 + 6036050/3*p**2 + 669336 - 2009344*p.
-2*(p - 1002)**2*(p - 1)**3/3
Let v(x) = -x**5 - 4*x**4 + 12*x**3 - 2*x + 2. Let j(b) = -3*b**5 - 7*b**4 + 26*b**3 - 5*b + 5. Let m(c) = -2*j(c) + 5*v(c). Factor m(q).
q**3*(q - 4)*(q - 2)
Find l, given that 120*l**3 + 4/3*l**4 + 736/3 - 740/3*l**2 - 120*l = 0.
-92, -1, 1, 2
Suppose -2*q + 2*m = -46, 29 = q + 2*m + 57. Find k such that 5/2*k**2 - 11/4*k**3 + 11*k + q - k**4 = 0.
-2, -3/4, 2
Find a such that 476*a**4 - 855*a - 634*a**4 - 140*a + 105*a**5 - 1602*a**4 - 460*a**2 + 2810*a**3 + 300 = 0.
-4/7, 1/3, 1, 15
Let z = 47 - 7. Suppose -4*j + z = 68. Let b(v) = -10*v**2 + 8*v - 19. Let i(m) = 3*m**2 - 3*m + 6. Let y(t) = j*i(t) - 2*b(t). What is l in y(l) = 0?
1, 4
Let j = 65 - 65. Suppose -4*u - u + 60 = j. Solve -10*g**2 - 6*g**2 + u*g**2 - 2*g**3 = 0 for g.
-2, 0
Let s(m) be the third derivative of m**6/10 + 26*m**5/15 - 3*m**4/2 + m**2 + 172*m. Solve s(w) = 0.
-9, 0, 1/3
Let u be (-16)/(-12)*((-126)/(-4))/21. Let z(f) = -f**2 + f**3 + f**2 + 1. Let o(j) = 2*j**2 + 2*j. Let d(n) = u*o(n) - 4*z(n). What is i in d(i)