+ 3 = 0.
-2, -1
Let k = -29 - -74. Let r be (-9)/k - 322/(-10). Factor -r*q + 20 - 2*q**2 + 68*q - 6*q**2.
-4*(q - 5)*(2*q + 1)
Let p(c) be the second derivative of -1/30*c**4 + c**3 + 0*c**2 - 220*c + 0. Factor p(j).
-2*j*(j - 15)/5
Let w = -23940 - -95881/4. Factor -11/2*h + 1/4*h**2 + w.
(h - 11)**2/4
Let o(b) be the first derivative of -4*b**3/3 - 276*b**2 + 1120*b + 11725. Factor o(x).
-4*(x - 2)*(x + 140)
Factor 2/13*g**3 + 0 + 47432/13*g + 616/13*g**2.
2*g*(g + 154)**2/13
Factor 691*w**3 - 1280 - 1427*w**3 - 2226*w - w**5 - 2048*w**2 - 73*w**4 - 3*w**5 - 39*w**4 - 398*w.
-4*(w + 2)**4*(w + 20)
Let b(n) = 1239*n - 76818. Let p be b(62). Factor p - 35*d**3 + 5/2*d**4 + 0*d**2 + 0*d.
5*d**3*(d - 14)/2
Let c(t) be the second derivative of -1/60*t**6 + t**2 - 46*t + 1/24*t**4 + 2 - 2/3*t**3 - 1/84*t**7 + 1/8*t**5. Factor c(k).
-(k - 1)**3*(k + 2)**2/2
Let s(u) be the second derivative of u**7/189 + 2*u**6/135 - 8*u**5/15 - 152*u - 2. Factor s(y).
2*y**3*(y - 6)*(y + 8)/9
Let j(c) = 13*c**2 + 868*c + 2603. Let l(k) = -69*k**2 - 4341*k - 13011. Let b(n) = 21*j(n) + 4*l(n). Let b(v) = 0. What is v?
-3, 291
Let f = 17/571 - -2131/5139. Let w(h) be the first derivative of 0*h**5 + f*h**3 + 1/2*h**4 - 1/9*h**6 + 0*h**2 + 0*h + 36. Factor w(u).
-2*u**2*(u - 2)*(u + 1)**2/3
Let x(q) be the third derivative of q**6/72 + 2*q**5/3 - 85*q**4/24 - 97*q**3/6 + 2*q**2 + 55. Let z(u) be the first derivative of x(u). Factor z(s).
5*(s - 1)*(s + 17)
Suppose 0 = -496*q + 4 - 3 - 1. Factor 8/9*k**5 + 2/9*k**3 + 0 + q*k**2 + 8/9*k**4 + 0*k.
2*k**3*(2*k + 1)**2/9
Factor -3/5*h**2 - 2106/5*h - 369603/5.
-3*(h + 351)**2/5
Let r(h) = h**3 + 4*h**2 - 3*h + 9. Suppose -25 + 1 = 6*k. Let s be r(k). Factor 6 - s*q + 8*q**2 + 3*q + 32*q.
2*(q + 1)*(4*q + 3)
Let m(k) = -13*k**2 + 765*k. Let s(b) = 32*b**2 - 1908*b. Let o(y) = -12*m(y) - 5*s(y). Solve o(i) = 0.
0, 90
Let d(q) be the second derivative of q**7/5880 - q**6/560 - q**5/28 - 8*q**4/3 + 5*q - 2. Let z(i) be the third derivative of d(i). Factor z(c).
3*(c - 5)*(c + 2)/7
Let m(n) = 3*n**2 + 13*n + 12. Let y be m(-3). Let x(k) be the first derivative of -5/2*k**2 - 15/4*k**4 + 5*k**3 + k**5 + y*k + 8. Factor x(s).
5*s*(s - 1)**3
Let k(a) = -13*a**3 + 4*a**2 - 21*a + 196. Let u(j) = 2*j**3 - 2*j**2 + 2*j. Let f(o) = -2*k(o) - 14*u(o). Determine b so that f(b) = 0.
-4, 7
Let y = -33/787 + 3313/3935. Suppose 0*p**2 - 2/5 - y*p**3 + 2/5*p**4 + 4/5*p = 0. Calculate p.
-1, 1
Let v = 15 - 13. Determine p so that 0*p**v + 21*p + 2*p**2 + 3*p + 32 + 2*p**2 = 0.
-4, -2
Let t be (-1)/5*(-18900)/1134. Let h(n) be the first derivative of 38 + 5/4*n**4 + 5/2*n**2 + t*n**3 + 0*n. Solve h(q) = 0.
-1, 0
Factor 2949/4*w**2 + 5907/4*w - 3/4*w**3 + 2955/4.
-3*(w - 985)*(w + 1)**2/4
Let i(z) be the first derivative of -z**6/3 + 14*z**5/5 + 71*z**4/2 - 66*z**3 - 378*z**2 - 432*z - 184. Find k, given that i(k) = 0.
-6, -1, 3, 12
Let g(z) be the third derivative of z**6/360 - 7*z**5/12 - 518*z**2. Solve g(i) = 0 for i.
0, 105
Let o(v) be the first derivative of -31/2*v**2 - 1/40*v**6 + 0*v**3 + 0*v - 2/5*v**5 + 8 - 2*v**4. Let p(m) be the second derivative of o(m). Factor p(n).
-3*n*(n + 4)**2
Let z be -1790 - (-3 - (-8 - 5)). Let b = -1794 - z. Determine t so that 38*t + b + 14/3*t**3 - 82/3*t**2 = 0.
-1/7, 3
Let b(i) be the third derivative of 2*i**7/15 - 3431*i**6/6 - 1634*i**5/5 + 48*i**2 + 130*i. Factor b(a).
4*a**2*(a - 2451)*(7*a + 2)
Let i(b) = 3*b**3 + 1063*b**2 + 4202*b + 4182. Let k(m) = -30*m**3 - 10632*m**2 - 42021*m - 41817. Let t(v) = 21*i(v) + 2*k(v). Suppose t(l) = 0. Calculate l.
-349, -2
Let d(x) = -3*x**2 + 0 + 21526*x + 3 + 4*x**2 - 21525*x - 5. Let i be d(1). Solve i*r - 39/7*r**3 - 6/7*r**5 + 12/7*r**2 + 0 + 33/7*r**4 = 0.
0, 1/2, 1, 4
Let k = 1229523 - 9836167/8. Factor 1/8*c**3 - 8 + 10*c - k*c**2.
(c - 8)**2*(c - 1)/8
Suppose 0 = -3*i + 6, 4*i - 153 = j - 6*j. Determine f, given that -7*f**3 - 601*f**4 - 53*f**2 - 33*f**2 + 138*f - 72 + 599*f**4 + j*f**3 = 0.
1, 3, 4
Let t(i) = -8*i**2 + 11627*i - 4228237. Let u(m) = 12*m**2 - 17440*m + 6342356. Let r(g) = 8*t(g) + 5*u(g). Factor r(s).
-4*(s - 727)**2
Let t(q) = 1377*q + 85377. Let f be t(-62). Factor 171/5*z**2 + 3/5*z**4 + 30 - 57*z - 39/5*z**f.
3*(z - 5)**2*(z - 2)*(z - 1)/5
Suppose -16 = -0*m + m + 4*o, 0 = 2*m - 4*o - 16. Let g be (m + -30)*(-814)/185. Determine s, given that -107*s**3 - 10*s**2 + g*s**3 + 6 + 5 - 25*s - 1 = 0.
-1, 2/5, 1
Let m(o) = o**2 + 3*o - 10. Let k be m(-5). Let i = k + 35. Determine c so that -5*c**5 - 24*c - i*c + 25*c**3 + 39*c = 0.
-2, -1, 0, 1, 2
Let a = 51859 - 259293/5. Factor -52/15 - a*q**2 + 82/15*q.
-2*(q - 13)*(3*q - 2)/15
Let q(h) be the third derivative of -3*h**6/40 - 31*h**5/10 - 5*h**4 - 5*h**2 - 4*h. Factor q(d).
-3*d*(d + 20)*(3*d + 2)
Determine d, given that 120*d - 607*d**2 - 218*d**4 + 5174*d**3 - 961*d**2 - 89*d**4 - 52*d**4 + 21*d**4 = 0.
0, 2/13, 15
Let k be -4 + 0 + 1 + 5. Let q be (7 - k)*(-12)/(-30). Solve -385*b**3 + 4*b**2 - 2*b**4 + 3*b**4 + 389*b**3 + 2*b + b**q = 0 for b.
-2, -1, 0
Let m be (-8)/((-160)/65) + (-1)/4. Determine i so that 7*i**3 + 9*i**2 - 3*i**2 + 8 + i**4 + 22*i + i**m + 15*i**2 = 0.
-4, -2, -1
Suppose 0 = -2*z + 132 - 46. Suppose 24*m**3 + z*m**2 - 45*m**2 - 5*m**3 = 0. What is m?
0, 2/19
Let p(c) be the second derivative of -1/10*c**6 + c**3 - 1/42*c**7 + 0*c**2 + 11/12*c**4 - 1 + 3/20*c**5 - 37*c. Suppose p(j) = 0. Calculate j.
-3, -1, 0, 2
Suppose -71 = 7*g - 85. Factor 42*q + q**3 + 5*q**2 + 49*q - 20*q**2 + 507 - 8*q**g.
(q - 13)**2*(q + 3)
Let i(m) be the third derivative of 58*m**2 - 35/12*m**5 + 0 + 0*m - 55/8*m**4 + 5/3*m**3. Factor i(l).
-5*(l + 1)*(35*l - 2)
Let v(y) be the second derivative of 93*y + 7*y**2 - 1/6*y**4 + 0 - 2*y**3. Solve v(i) = 0.
-7, 1
Let f = -32849/15 + 2190. Let q(d) be the first derivative of f*d**3 - 3/5*d + 3 + 1/5*d**2. Determine h so that q(h) = 0.
-3, 1
Let x = 124638/5 + -25521. Let s = -593 - x. Factor -s*u**2 - 2/15 + 8/15*u.
-2*(u - 1)*(3*u - 1)/15
Find g such that -393 - 591*g**2 + 123 + 36*g**3 - 16*g + 799*g = 0.
2/3, 3/4, 15
Suppose 5*v = -5*t - 10, -t - 6*v + 2*v - 14 = 0. Suppose t*w - 36 = -7*w. Let 5*g**5 - 10*g**w - 1040*g**3 + 1040*g**3 - 5*g + 10*g**2 = 0. Calculate g.
-1, 0, 1
Let m(u) be the second derivative of u**5/20 + 13*u**4/12 - 20*u**3 - 792*u**2 - u + 1167. Factor m(r).
(r - 11)*(r + 12)**2
Let a(g) be the first derivative of 0*g + 1/8*g**4 - 6 + 36*g**2 - 4*g**3. Let a(f) = 0. Calculate f.
0, 12
Suppose 0 - 1064/3*g**2 + 2/3*g**5 - 26*g**4 - 172*g**3 - 240*g = 0. Calculate g.
-2, 0, 45
Let q(d) be the second derivative of d**4/126 + 3622*d**3/63 + 3279721*d**2/21 - 9295*d. What is b in q(b) = 0?
-1811
What is m in 0*m**5 + m**5 + m**5 + 418*m**3 - 248*m**2 + 83 + 1109*m - 662*m - 171*m**4 - 531*m = 0?
-1/2, 1, 83
Let a(d) be the third derivative of 1/12*d**6 + 0*d + 3/20*d**5 + 0*d**3 + 1/12*d**4 + 1/70*d**7 + 4*d**2 + 0. Factor a(s).
s*(s + 1)*(s + 2)*(3*s + 1)
Let v = -109452 + 109454. Factor 9/4*w - 3/2*w**v + 1/4*w**3 - 1.
(w - 4)*(w - 1)**2/4
Suppose -d - 27 = -24, 4*m - 3*d - 61 = 0. Let f(g) be the second derivative of -5/72*g**4 + 0*g**2 + 0 - 5/12*g**3 - m*g. Find l, given that f(l) = 0.
-3, 0
Let q be ((-5)/12)/((-20)/6). Let f be 3 - (30 + -30 - (-2 + -1)). Solve 0 + f*d**2 - 9/8*d + q*d**3 = 0.
-3, 0, 3
Let l(h) be the first derivative of -h**6/24 - 143*h**5/20 + 145*h**4/8 - h**3/6 - 289*h**2/8 + 145*h/4 - 2392. Suppose l(d) = 0. Calculate d.
-145, -1, 1
Let c(t) = 12*t**2 - t - 5. Suppose -5*y + 3*y = 8. Let o be c(y). Factor o*j**3 - 191*j**3 + 2*j**2 - j**4 - 1.
-(j - 1)**2*(j + 1)**2
Let w(o) be the first derivative of o**6/12 + o**5/10 - 3*o**4/8 - o**3/6 + o**2/2 - 125. Determine h so that w(h) = 0.
-2, -1, 0, 1
Suppose o = 3*d - 2552, -3*d - 2548 = -6*d + 5*o. Suppose c + c + 40*c**2 - 2*c - 5*c**5 - 70*c**3 - 816*c**4 + d*c**4 = 0. Calculate c.
0, 1, 2, 4
Suppose 0 = 8*s - 10*s + 10. Suppose 8 = -13*j + 14*j. Factor -6*p - 4*p**2 + j - s*p**2 + 7*p**2 + 0.
-2*(p - 1)*(p + 4)
Let t be (-25)/(-135) + (-13)/(-3861)*11. Find b such that -4/9*b + 4/9*b**3 - 1/9*b**4 + 1/3 - t*b**2 = 0.
-1, 1, 3
Let a = 200 - 324. Let y be (-1)/(-2 - -8)*(a - -121). What is t in -1/2*t**3 + 0 + y*t**4 + 1/2*t - 1/2*t**