= 2*l - 2*b. What is v in -108*v**2 + 48*v + 0 - 33*v**4 + 9/2*v**5 + 90*v**l = 0?
0, 4/3, 2
Let s(l) be the first derivative of 21/2*l**2 + l**3 + 244 + 36*l. Suppose s(z) = 0. Calculate z.
-4, -3
Let w = -6/475 - 13198/8075. Let k = -173/136 - w. What is l in 1/8*l - 1/2*l**2 + 1/2*l**4 - k*l**5 + 1/4*l**3 + 0 = 0?
-1, 0, 1/3, 1
Factor 2*o**5 - 22*o**3 - 110*o - 247*o**4 + 267*o**4 - 72*o**2 - 106*o + 64*o**3.
2*o*(o - 2)*(o + 3)**2*(o + 6)
Let x(v) = -4*v**2 - 40*v - 36. Let n be x(-9). Suppose -g - j + 2 = n, g + 10*j + 6 = 13*j. Factor 0*c + g - 2/3*c**4 + 2/3*c**3 + 0*c**2.
-2*c**3*(c - 1)/3
Let z(x) be the first derivative of x**5/10 - 11*x**4/3 + 140*x**3/3 - 200*x**2 + 9*x - 93. Let p(q) be the first derivative of z(q). Factor p(d).
2*(d - 10)**2*(d - 2)
Let t(n) be the second derivative of -2/9*n**3 + 1/378*n**7 - 1/45*n**6 + 11/180*n**5 - 1/54*n**4 - 4*n + 4/9*n**2 + 10. Factor t(a).
(a - 2)**3*(a - 1)*(a + 1)/9
Let y be 523854/(-872)*(1 - (-10)/6). Let g = -1598 - y. Solve -10 + 25/2*q**2 + 0*q**3 + 0*q - 5/2*q**g = 0 for q.
-2, -1, 1, 2
Let a be (-6 + 5)*(1 + -3). Let j be a + -8*5/(-40). What is n in 3/5*n**j + 0*n**2 - 3/5*n**4 + 0*n + 0 = 0?
0, 1
Let n(o) = -o**2 - 5*o - 11. Let r(d) = 1. Suppose 3*c - 25 + 40 = 0. Let h(m) = m**3 + 5*m**2 + m + 4. Let y be h(c). Let u(t) = y*n(t) - 5*r(t). Factor u(k).
(k + 2)*(k + 3)
Factor 0 + 37*j**3 + 0*j - 1369/2*j**2 - 1/2*j**4.
-j**2*(j - 37)**2/2
Let j be (-4)/(-10) + (-203)/(-5). Suppose -7 - j = -3*w. Let -11*s - 22*s - 14*s - w*s**2 - 24 + 3*s = 0. Calculate s.
-2, -3/4
Let t(z) be the third derivative of z**7/105 + z**6/30 + z**5/30 + 1923*z**2. Factor t(w).
2*w**2*(w + 1)**2
What is p in -14/9*p**3 + 1186/9*p**2 + 2776/9*p + 232/3 = 0?
-2, -2/7, 87
Factor 1567*k - 408 - 2155*k + 1777*k**2 - 846*k + 38*k**2 + 27*k**3.
3*(k - 1)*(k + 68)*(9*k + 2)
Suppose 0 = -2*i - 3*v + 4, v + 15 - 9 = 3*i. Let 5*k**2 + 10*k**3 - i*k**2 - 2*k**4 - 7*k**2 - 2*k**2 - 18*k = 0. Calculate k.
-1, 0, 3
Suppose 85*r + 4 = 87*r. Suppose 0*f + 4*l + 14 = 3*f, 4*f - 4 = -r*l. Factor 3/8*s**f - 3/2*s + 0.
3*s*(s - 4)/8
Let i(d) = -d**2 + 4838*d + 2918534. Let s(u) = -2*u**2 + 4840*u + 2918536. Let x(t) = -4*i(t) + 3*s(t). Factor x(z).
-2*(z + 1208)**2
Let k(x) be the third derivative of 1/16*x**8 - 1/35*x**7 + 0*x + 1/10*x**5 + 0*x**3 + 2 + 33*x**2 + 0*x**4 - 7/40*x**6. Suppose k(r) = 0. Calculate r.
-1, 0, 2/7, 1
Suppose 0 + 62/3*u - 64/3*u**2 + 2/3*u**3 = 0. Calculate u.
0, 1, 31
Let -1/9*h**2 - 13/9*h - 22/9 = 0. Calculate h.
-11, -2
Let q(k) be the first derivative of -k**6/15 - 12*k**5/5 - 55*k**4/2 - 242*k**3/3 + 46*k + 144. Let y(p) be the first derivative of q(p). Factor y(w).
-2*w*(w + 2)*(w + 11)**2
Let a(d) be the first derivative of -4*d**3/27 + 254*d**2/3 + 1528*d/9 - 3453. Determine s, given that a(s) = 0.
-1, 382
Let a(f) be the third derivative of f**5/3 + 109*f**4/2 + 260*f**3/3 - 856*f**2. Factor a(q).
4*(q + 65)*(5*q + 2)
Let o(n) be the first derivative of n**3/12 - 11*n**2/4 - 203*n/4 + 430. Factor o(x).
(x - 29)*(x + 7)/4
Let u = 17886 - 53653/3. Let x(r) be the first derivative of 0*r + 15 - 10/3*r**6 + 15/4*r**4 + 0*r**5 + 0*r**2 + u*r**3. Let x(m) = 0. What is m?
-1/2, 0, 1
Let o(x) be the second derivative of x**4/8 + 244*x**3 + 178608*x**2 - 2415*x. Factor o(s).
3*(s + 488)**2/2
Let s(m) = -2*m**3 + 55*m**2 + 569*m + 10. Let j be s(-8). Factor -24/7 + 6/7*d**j - 10*d.
2*(d - 12)*(3*d + 1)/7
Let w(t) be the first derivative of 11 - 7/66*t**3 - 31*t + 4/11*t**2 - 1/132*t**4. Let z(b) be the first derivative of w(b). Factor z(u).
-(u - 1)*(u + 8)/11
Let o(q) be the second derivative of q**6/15 - 12*q**5/5 - 37*q**4/2 - 34*q**3/3 + 168*q**2 - 4241*q. Solve o(s) = 0.
-3, -2, 1, 28
Let q(z) = 13*z**3 - 57*z**2 + 777*z - 1352. Let r(a) = 4*a**3 - a**2 - a. Let y(v) = 2*q(v) - 6*r(v). Let y(t) = 0. What is t?
2, 26
Let r(t) be the third derivative of 3*t**6/400 - 319*t**5/600 + 223*t**4/120 - 34*t**3/15 + 680*t**2. Factor r(p).
(p - 34)*(p - 1)*(9*p - 4)/10
Let n(u) be the first derivative of -3*u**4/4 - 94*u**3 + 582*u**2 - 1176*u + 360. Suppose n(h) = 0. Calculate h.
-98, 2
Let z be (25/(-10)*1)/((-84)/(-16) + -6). Let q(o) be the second derivative of 1/12*o**4 + 0 + 50*o**2 + 22*o - z*o**3. Factor q(c).
(c - 10)**2
Factor 2/7*q**2 - 4/7*q + 2/7*q**3 + 0.
2*q*(q - 1)*(q + 2)/7
Let o(i) be the first derivative of 0*i + 177 - 20*i**2 - 50*i**3 - 35/4*i**4. Suppose o(z) = 0. What is z?
-4, -2/7, 0
Solve 12 - 72/7*y + 18/7*y**3 + 3/7*y**4 - 33/7*y**2 = 0 for y.
-7, -2, 1, 2
Let n(s) be the second derivative of 119/5*s**5 - 80/3*s**4 + 0*s**2 + 9*s + 98/15*s**6 + 8*s**3 + 2. Factor n(l).
4*l*(l + 3)*(7*l - 2)**2
Let f = -11185/3 - -11186/3. Find t, given that f*t**3 + t**2 - 5 - 13/3*t = 0.
-5, -1, 3
Find c, given that 20*c**3 - 84*c + 4563 + 26*c**3 - 61*c**2 - 111*c - 43*c**3 + 10*c**2 = 0.
-9, 13
Let r(o) be the first derivative of -o**4/6 + 2*o**3 + 16*o**2 + 104*o/3 - 436. Factor r(t).
-2*(t - 13)*(t + 2)**2/3
Let w = -64 + 68. Suppose 36 - 16 = w*y. What is g in -5*g**5 + 853*g**3 - 853*g**3 - y*g**4 = 0?
-1, 0
Determine g, given that 1465/2*g**2 + 268644*g + 1/2*g**3 + 267912 = 0.
-732, -1
Let u(b) be the third derivative of b**2 - 1/6*b**6 + 0 - 1/14*b**7 - 5/2*b**3 + 107*b + 1/2*b**5 + 5/12*b**4 + 5/168*b**8. Determine g, given that u(g) = 0.
-1, 1, 3/2
Suppose 3*a = 0, 29*i + 12 = 33*i + 2*a. Factor 33*d**i - 28*d**3 - 53 - 1130*d**2 - 865*d + 35*d**3 - 46 - 46.
5*(d - 29)*(2*d + 1)*(4*d + 1)
Solve -3*g**5 - 745*g**4 - 711*g**4 - 33*g**3 + 48*g + 1495*g**4 - 4*g**2 - 12*g - 35*g**2 = 0 for g.
-1, 0, 1, 12
Solve 202/5*i**2 - 6*i - 2/5*i**4 + 6*i**3 - 40 = 0 for i.
-5, -1, 1, 20
Let s be 26896/21730 - 4/106. What is b in -2/5*b**5 + 2 - 4/5*b**2 + 4*b**3 - 18/5*b - s*b**4 = 0?
-5, -1, 1
Let q(h) be the third derivative of h**5/12 + 145*h**4/24 + 115*h**3 - 1625*h**2. Factor q(a).
5*(a + 6)*(a + 23)
Let d(p) be the second derivative of 5 + 0*p**2 - 2/5*p**6 + 4*p**4 + 2*p - 2/5*p**5 + 2/21*p**7 - 16/3*p**3. Suppose d(f) = 0. What is f?
-2, 0, 1, 2
Let i(z) be the second derivative of z**6/210 + 3*z**5/35 + 4*z**4/7 + 32*z**3/21 + 33*z**2/2 + 77*z. Let b(t) be the first derivative of i(t). Factor b(p).
4*(p + 1)*(p + 4)**2/7
Let d(o) be the second derivative of o**7/42 - 11*o**6/15 + 6*o**5 + 11*o**4/6 - 121*o**3/6 + 2119*o. Factor d(l).
l*(l - 11)**2*(l - 1)*(l + 1)
Let g(m) = -2*m**2 - 7*m - 2. Let q be g(-5). Let f be (4/2 - 3)*q. Find k, given that -k - 11 - f - 17 - k**2 + 47 = 0.
-2, 1
Let r(o) = -o**2 - 152*o - 742. Let l(q) = -2*q**2 - 382*q - 1856. Let a(k) = -5*l(k) + 12*r(k). Factor a(i).
-2*(i - 47)*(i + 4)
Let j(o) be the second derivative of -5*o**4/12 + 10*o**3/3 - 172*o. Find z, given that j(z) = 0.
0, 4
Suppose 5*n**4 - 395/4*n**2 - 20*n - 295/4*n**3 + 0 = 0. What is n?
-1, -1/4, 0, 16
Let w = -404 + 408. Solve w*v + 4*v**5 + 4220*v**4 + 0*v**5 - 4208*v**4 + 12 - 24*v**2 - 8*v**3 = 0.
-3, -1, 1
Suppose -5*h + 89 = -86. Let w = h - 25. Factor 14*b**2 - 3*b**2 - 8*b**2 + w - 8*b**2 + 5*b.
-5*(b - 2)*(b + 1)
Let z be 2/9 - -5*256/720. Let m(o) be the third derivative of -1/66*o**5 + z*o**2 - 1/165*o**6 + 0 + 0*o - 1/1155*o**7 - 1/66*o**4 + 0*o**3. Factor m(l).
-2*l*(l + 1)**2*(l + 2)/11
Factor 2525*j**2 - 619*j**2 - 623*j**2 - 618*j**2 + 720 - 615*j**2 + 372*j + 2*j**3.
2*(j + 3)*(j + 10)*(j + 12)
Let k(c) be the second derivative of c**5/110 + 5*c**4/6 - 56*c**3/33 - 16*c + 43. Solve k(h) = 0.
-56, 0, 1
Let z(v) = 2*v**2 - 2*v. Let h = 258 + -259. Let m(t) = -3*t**2 + 43*t - 90. Let o(j) = h*m(j) + z(j). Factor o(x).
5*(x - 6)*(x - 3)
Let r be (-32)/(-12) + (-896)/(-245). Let w = r + 12/35. Suppose 8/3*k**2 - w*k + 4/3*k**3 - 8 = 0. What is k?
-3, -1, 2
Let y(d) be the third derivative of 5*d**8/1344 + 2*d**7/15 - 71*d**6/480 - 23*d**5/120 + 2*d**2 - 47. Solve y(k) = 0.
-23, -2/5, 0, 1
Factor 8/7*o**2 + 2/7*o**4 - 48*o + 20/7*o**3 - 576/7.
2*(o - 4)*(o + 2)*(o + 6)**2/7
Let c(t) = t**2 - 4*t + 3. Let d(k) = -6*k**3 - 46*k**2 - 30*k - 38. Let l(b) = -6*c(b) - d(b). Let l(u) = 0. What is u?
-5, -1, -2/3
Factor 1142*t - 5*t**2 - 433*t - 424*t.
-5*t*(t - 57)
Let s(p) be the third derivative of 1/3528*p**8 + 0*p**3 + 1/252*p**4 + 1/210*p**6 - 2/315*p**5 + 2 + 0*p - 4/2205