**2 + 11090*y + r + 4*y**3 = 0.
-35
Let i(c) = -2*c - 31. Let j be i(-11). Let h be (j/(-6))/((1 - 2)/(-10)). What is r in -10*r - h*r**2 + 84*r**3 + 0 - 89*r**3 + 0 = 0?
-2, -1, 0
Let u(i) be the second derivative of -i**7/42 - 13*i**6/45 - 17*i**5/12 - 65*i**4/18 - 46*i**3/9 - 4*i**2 - 858*i - 2. Find p such that u(p) = 0.
-3, -2, -1, -2/3
Let g(j) be the first derivative of -j**4/30 - 8*j**3/45 + 4*j**2/5 - 2601. Factor g(s).
-2*s*(s - 2)*(s + 6)/15
Factor -381/4*i + 1/4*i**4 + 0 + 381/4*i**3 - 1/4*i**2.
i*(i - 1)*(i + 1)*(i + 381)/4
Let t(h) be the second derivative of h**4/48 + 40*h**3/3 - 489*h**2/2 + 9559*h. Factor t(d).
(d - 6)*(d + 326)/4
Suppose -3 = 2*n - 3. Suppose 4*u - 12 = -2*c, 2*u + 3*c = -n - 2. What is q in 7*q**4 + 5*q**3 + u*q - 15*q**2 - q - 14*q + 5*q**5 + 8*q**4 = 0?
-2, -1, 0, 1
Let o = 105678 - 105675. Factor -4/5*t**4 + 16/5*t - 16/5*t**o + 0 + 4/5*t**2.
-4*t*(t - 1)*(t + 1)*(t + 4)/5
Let r(a) be the third derivative of 0*a**3 + 1/180*a**6 + 0*a**5 + 4*a**2 - 1/315*a**7 + 0*a**4 - a + 0. Solve r(l) = 0.
0, 1
Suppose 2*y**4 - 10/3 + 2/3*y**3 - 9*y - 20/3*y**2 + 1/3*y**5 = 0. What is y?
-5, -1, 2
Let r be 9270/4326*(-42)/(-175)*5/3. Factor 0*s + 2/7*s**5 - 8/7*s**3 - r*s**4 + 0*s**2 + 0.
2*s**3*(s - 4)*(s + 1)/7
Suppose -5*b = 5*p - 65, 2*p + b - 21 - 1 = 0. Let i be (-1 + 0)*(54/(-10))/p. Factor 0 + 0*k**2 + 3/5*k**3 - i*k.
3*k*(k - 1)*(k + 1)/5
Let a be (15/10)/(4/8). Suppose 2*n + 0*n = a*s + 1, 0 = 2*n - 10. Find t, given that 4*t**2 - t - 4*t + 6*t**3 - t**2 - s*t**4 - t = 0.
-1, 0, 1, 2
Let s be (-6)/(-270)*18*10/7. Let u(k) = -2*k**2 + 84*k - 156. Let z be u(40). Solve 26/7*l**3 + 18/7*l**2 - s*l + 0 - 22/7*l**5 - 18/7*l**z = 0 for l.
-1, 0, 2/11, 1
Suppose 25 = 2*q + 17. Suppose -5*o + 6 = -5*g - q, -5*g + 10 = 5*o. Factor g + 1/6*t**5 - 1/3*t**4 + 0*t - 1/6*t**3 + 1/3*t**2.
t**2*(t - 2)*(t - 1)*(t + 1)/6
Let c = -41 - -39. Let o be (-2)/1 - (-3 + c - 1). What is u in -9 - u**2 + 2 - 4*u + o = 0?
-3, -1
Let y(p) be the third derivative of p**6/192 + 11*p**5/120 - p**4/16 + 10*p**3/3 - 6*p**2. Let m(u) be the first derivative of y(u). Factor m(n).
(n + 6)*(15*n - 2)/8
Let h be (-4)/10 + 5 + -4 - 468/1755. Factor -8/3*y**2 - 10/3 + 17/3*y + h*y**3.
(y - 5)*(y - 2)*(y - 1)/3
Let d(y) be the third derivative of 0*y**3 + 0 - 2*y + 1/36*y**4 + 1/45*y**5 - 40*y**2. Factor d(a).
2*a*(2*a + 1)/3
Let n(t) be the second derivative of -t**7/84 - 13*t**6/20 - 93*t**5/8 - 1649*t**4/24 - 289*t**3/2 - 4946*t. Find b, given that n(b) = 0.
-17, -3, -2, 0
Let j = 491 + -511. Let d be (-62)/j - (-91)/910. Let 0 - d*u**2 + 4/5*u**4 - 4/5*u**5 + 16/5*u**3 + 0*u = 0. What is u?
-2, 0, 1, 2
Let s(y) = y**3 - y + 6. Let l(q) = 8*q**3 - 24*q**2 + 28*q + 6. Let d(o) = 2*l(o) - 6*s(o). Solve d(c) = 0 for c.
4/5, 1, 3
Let x = -9/1816 - -7309/9080. Factor 1/5*f**4 + 12/5 - 9/5*f**2 + 0*f**3 - x*f.
(f - 3)*(f - 1)*(f + 2)**2/5
Let j = 328 + -704. Let i = 376 + j. Find s, given that 2/3*s**2 - 1/3*s**5 + i - 2/3*s**4 + 0*s + 1/3*s**3 = 0.
-2, -1, 0, 1
Let t(i) be the second derivative of i**4/20 + 1063*i**3/5 + 3389907*i**2/10 - 1410*i. Factor t(b).
3*(b + 1063)**2/5
Suppose 107*s - 260 = -46. Factor 0 - 3/4*u**s + 9/4*u.
-3*u*(u - 3)/4
Let y(u) be the third derivative of -u**7/525 - u**6/60 - 2*u**5/75 + 403*u**2. Suppose y(k) = 0. Calculate k.
-4, -1, 0
Let i(j) be the first derivative of -4/5*j**3 + 24/5*j - 58 - 1/10*j**4 - j**2. Factor i(o).
-2*(o - 1)*(o + 3)*(o + 4)/5
Let v be 0 - 34/6 - 1664176/(-265560). Factor 3/5*j - v*j**3 + 3/5 - 3/5*j**2.
-3*(j - 1)*(j + 1)**2/5
Suppose 10*q = 6*q - 5*x + 113, 3*q - 3*x = 78. Let w be 0 - -1 - 4 - (-261)/q. Factor w*j + 4/3 + 4/3*j**3 + 17/3*j**2.
(j + 2)**2*(4*j + 1)/3
Let t(x) be the first derivative of 17*x**3/15 + 16*x**2/5 - 4*x/5 + 593. Find l, given that t(l) = 0.
-2, 2/17
Let h = 80 - 77. What is d in -5*d + 53*d**2 + 1 - d**4 + 3 - 56*d**2 + 0 + 5*d**h = 0?
-1, 1, 4
Suppose -3*g - l = -87, 5*g - 2*l = g + 106. Let h = -23 + g. Determine k so that -4*k**4 - 3*k**5 - k**5 + 0*k**h - 20*k**3 - 12*k**2 + 8*k**5 = 0.
-1, 0, 3
Let w(h) be the second derivative of h**7/42 + 2*h**6/15 - h**5/4 - 5*h**4/3 + 2*h**3/3 + 8*h**2 + 4917*h. Let w(m) = 0. What is m?
-4, -2, -1, 1, 2
Factor -57/7*y - 40/7 + 13/7*y**2.
(y - 5)*(13*y + 8)/7
Let f(j) = -j**2 - 9*j - 15. Let u be f(-6). Suppose n + 6 = 4*w, 0 = u*n - 4*n - 2*w + 6. Factor -25*k**3 - 5*k**2 + 27*k**3 - 2 + 2 + n*k.
k*(k - 2)*(2*k - 1)
Let b(r) be the third derivative of -3*r**6/20 - 109*r**5/4 + 46*r**4 + 183*r**3/2 - 2313*r**2. Suppose b(h) = 0. Calculate h.
-183/2, -1/3, 1
Let c(t) = -8*t + 248. Let q be c(28). Find n, given that -4*n**2 + q*n + 30*n + n**2 - 99 - 96*n = 0.
-11, -3
Let p be 5 + 203/(-28) + (-105)/(-20). Suppose 3*l = -3*t + 3, -5*t + 4 = 4*l - 0. Factor -3/7*x + 0 + t*x**p - 6/7*x**4 + 3/7*x**5 + 6/7*x**2.
3*x*(x - 1)**3*(x + 1)/7
Let w(v) = -3*v**4 + 19*v**3 - 8*v**2 - 31*v - 1. Let d(n) = -n**2 + n + 2*n**3 + 9*n**3 + 2*n**3 + 1 - 14*n**3. Let m(h) = -d(h) - w(h). Factor m(q).
3*q*(q - 5)*(q - 2)*(q + 1)
Solve -24 - 2/3*f**2 + 26/3*f = 0.
4, 9
Let c be 3 - 3/13*13. Let k(f) be the third derivative of 1/60*f**6 + 0*f**5 - 1/210*f**7 + 0*f**3 - 13*f**2 + 0*f + c + 0*f**4. Factor k(m).
-m**3*(m - 2)
Suppose 4*m + 403 - 543 = 0. Solve -10*y - m*y**2 - 45*y**3 - 58 - 25*y**4 + 29 - 5*y**5 + 29 = 0.
-2, -1, 0
Let s be 1266/1055*(-15)/(-3) + 192/(-33). Determine c, given that 4/11 + s*c**3 - 6/11*c + 0*c**2 = 0.
-2, 1
Suppose 0 = 5*p - 40*p + 116 + 94. Suppose -i = -4*m - 2 - 1, 0 = -3*i + 3*m + 9. Factor -p - 4 + 6*t**2 + 3 - i*t**3 + 3*t + 1.
-3*(t - 2)*(t - 1)*(t + 1)
Factor 172/13*c - 2/13*c**2 - 3698/13.
-2*(c - 43)**2/13
Factor 64*l**2 + 152 - 18059*l**3 + 103*l + 18063*l**3 - 186*l - 137*l.
4*(l - 2)*(l - 1)*(l + 19)
Let h(o) be the second derivative of -1 + 25/3*o**4 + 48*o**2 + 97/3*o**3 - 5*o + 1/10*o**5. Factor h(s).
2*(s + 1)**2*(s + 48)
Let h(a) be the second derivative of 5*a**4/12 + 815*a**3/6 - 410*a**2 + 2*a - 606. Determine r, given that h(r) = 0.
-164, 1
Let r(v) be the third derivative of v**6/200 + 18*v**5/25 + 339*v**4/40 + 134*v**3/5 - 2*v**2 - 1. Factor r(c).
3*(c + 1)*(c + 4)*(c + 67)/5
Let a = 185180 - 185178. Factor 4*i + 10/7 - 6/7*i**a.
-2*(i - 5)*(3*i + 1)/7
Factor 4*c**4 + 24*c - 526*c**2 + 16*c**3 - 576*c**2 + 1058*c**2.
4*c*(c - 1)**2*(c + 6)
Let c(t) be the second derivative of -t**4/42 - 10*t**3/7 - 225*t**2/7 + 568*t. Factor c(v).
-2*(v + 15)**2/7
Suppose -4*m + 2*m - 4 = 0. Let j be (m/(-6))/(2/18). Factor h**2 + j*h**2 - 3*h**2.
h**2
What is r in -80*r**3 + 4*r**4 + 82*r**3 - 171*r**2 + 167*r**2 - 2*r**5 = 0?
-1, 0, 1, 2
Let l be 45*1/(-3)*-24*(-32)/(-2240). Solve -8/7*n**2 - 12/7*n**4 + 20/7 - 4/7*n**5 + 40/7*n**3 - l*n = 0 for n.
-5, -1, 1
Let n(l) be the first derivative of l**3/4 + 585*l**2/4 + 1167*l/4 - 748. Factor n(p).
3*(p + 1)*(p + 389)/4
Let o(j) be the first derivative of j**4/8 - j**3/2 - 73*j**2/4 - 165*j/2 + 759. Let o(s) = 0. Calculate s.
-5, -3, 11
Let r(o) be the second derivative of o**4/4 + 445*o**3/2 - 1166*o. Factor r(b).
3*b*(b + 445)
Let f = 340 - 339. Let u(y) = y**3 - 3*y**2 + 2. Let i be u(f). What is j in 2/9*j + i - 2/9*j**2 = 0?
0, 1
Suppose -2*g + 38 + 398 = 4*a, -845 = -4*g + a. Solve 5*r**2 + 46*r - 124 + g - 346*r - 33*r**2 = 0.
-11, 2/7
Let v = -75/26 + 269/91. Let q(d) be the second derivative of 3/28*d**5 + 0 + 12/7*d**2 - v*d**4 - 10/7*d**3 + 26*d. Factor q(m).
3*(m - 2)*(m + 2)*(5*m - 2)/7
Suppose -38*c + 3448 = -30*c. Let z = c - 429. What is f in -2*f - 5 - 1/5*f**z = 0?
-5
Let 2*m**2 + 212*m + 420 - 184*m - 97*m - 5*m**2 = 0. What is m?
-28, 5
Solve 2442 + 24*z - 242*z**3 + 241*z**3 + 21*z**2 - 2486 = 0 for z.
-2, 1, 22
Let u(g) = g**3 - g**2 - g + 1. Suppose 10*h - 20 = -0. Let r be u(h). Let 5 + 5*x**3 - 4*x - 7*x**2 - 1 - x**r + 3*x**2 = 0. Calculate x.
-1, 1
Factor -20*s**4 - 160*s - 100 - 15*s**2 - 24*s**4 + 5*s - 20*s**4 + 59*s**4 + 35*s**3.
-5*(s - 5)*(s - 4)*(s + 1)**2
Let j = -123299 + 123303. Find c, given that -1/5*c**j - 3/5*c + 1/5*c**2 + 0 + 3/5*c**3 = 0.
-1, 0, 1, 3
Let r = 94939 - 94934. Determine k so that -179/6*k**4 + 0 + 113/3*k**3 + 35/6*k**r - 2/3*k**2 - 4*k = 0.
-2/7, 0, 2/5, 2, 3
Factor -24*o - 5 + 3*o**2 - 33 - 4 + o**2