derivative of l + 24*o + 1/10*o**5 + 0*o**2 + 0*o**3 + 1/6*o**4. Solve q(k) = 0.
-1, 0
Let f(i) = -3*i + 18. Let o(p) = 4*p - 27. Let s(l) = 7*f(l) + 5*o(l). Let u be s(-10). Suppose k**3 - k**4 - 1/2*k - 1/2*k**5 - u + 2*k**2 = 0. What is k?
-2, -1, 1
Solve 5*v**3 - 455*v**2 + 69 + 312 - 38124*v + 74 + 38119*v = 0.
-1, 1, 91
Let p(a) be the third derivative of 7/8*a**3 + 5/64*a**4 - 1/160*a**5 + 0*a + 3*a**2 + 1. Factor p(y).
-3*(y - 7)*(y + 2)/8
Suppose 0 + 3*f**4 + 18/7*f**3 + 3/7*f**5 - 96/7*f**2 - 96/7*f = 0. Calculate f.
-4, -1, 0, 2
Let n(p) be the first derivative of p**5/240 + 11*p**4/48 + 7*p**3/8 - p**2/2 - 16*p - 11. Let b(h) be the second derivative of n(h). Factor b(y).
(y + 1)*(y + 21)/4
Suppose -19486/3*l**2 - 200/9 - 6920/9*l - 2450/9*l**4 + 24220/9*l**3 = 0. Calculate l.
-2/35, 5
Let x(k) be the second derivative of k**5/10 + 45*k**4/2 + 134*k**3/3 + 212*k. Factor x(s).
2*s*(s + 1)*(s + 134)
Let l(u) = -u**3 - 18*u**2 + 96*u - 348. Let x(z) = z**2 + 16*z - 1. Let s(w) = -l(w) - 4*x(w). Factor s(f).
(f - 4)**2*(f + 22)
Let x be (-21)/(-18) - (2990/300 + -12). Let y(w) = -w. Let t be y(0). Solve -4/5*v**2 + x*v**4 + t - 12/5*v**3 + 0*v = 0.
-1/4, 0, 1
Let w(c) be the second derivative of -c**6/15 + 17*c**5/5 - 115*c**4/2 + 300*c**3 - 4362*c. Solve w(f) = 0 for f.
0, 4, 15
Let a(d) be the second derivative of -1/70*d**5 + 2 - 19/42*d**4 - 27*d - 17/7*d**2 - 5/3*d**3. Factor a(q).
-2*(q + 1)**2*(q + 17)/7
Let v(a) be the first derivative of 9/4*a + 0*a**2 - 1/12*a**3 + 73. Determine j so that v(j) = 0.
-3, 3
Let k = 108 + -105. Let z be 255 - (-3 + k + 3). Factor -2*u**2 - 2*u**4 + 4*u**3 + 252*u - z*u.
-2*u**2*(u - 1)**2
Suppose 2*x**4 + 74/3*x**2 + 0 + 44/3*x**3 + 20/3*x = 0. Calculate x.
-5, -2, -1/3, 0
Let i(p) = -243*p - 1701. Let q be i(-7). Determine h, given that 1/3 - 2/3*h**3 + q*h**2 + 2/3*h - 1/3*h**4 = 0.
-1, 1
Let f(b) be the second derivative of -34*b + 1/60*b**5 - 1/12*b**4 + 5*b**2 + 0 + 0*b**3. Let w(d) be the first derivative of f(d). Solve w(n) = 0 for n.
0, 2
Let q be 18/12 - 780/(-8). Suppose 299*d**2 + q*d**2 + 19*d**2 + 25*d**4 + 60 - 260*d - 82*d**2 - 160*d**3 = 0. What is d?
2/5, 1, 2, 3
Let z(a) = -165*a**3 + 400*a**2 - 240*a. Let n = 57 + -52. Let m(x) = -82*x**3 + 200*x**2 - 121*x. Let s(i) = n*m(i) - 2*z(i). Factor s(d).
-5*d*(4*d - 5)**2
Find c, given that 4*c**3 - 48 - 199*c**2 + 167*c**2 + 2*c + 74*c = 0.
1, 3, 4
Let l = -11044 + 132529/12. Let z(v) be the second derivative of 1/40*v**5 + l*v**4 + 0 + 0*v**2 + 1/12*v**3 + 26*v. Let z(b) = 0. Calculate b.
-1, 0
What is t in -564/7 + 278/7*t + 2/7*t**2 = 0?
-141, 2
Factor -104 - 766*k**4 + 137*k + 79*k + 36*k**3 + 764*k**4 - 146*k**2.
-2*(k - 13)*(k - 2)**2*(k - 1)
Let v(j) = -5*j - 77. Let n be v(-16). Suppose 0*c - 25 - n*c**2 - c + 4*c + 43 = 0. What is c?
-2, 3
Let n(j) be the first derivative of 10/3*j - 4/9*j**3 + 7/6*j**2 - 1/12*j**4 + 156. Factor n(d).
-(d - 2)*(d + 1)*(d + 5)/3
Let l be (36/(-1) + 2)*24/(-16). Factor l*s + 3*s**3 - 25*s**2 - 9*s**2 + 4*s**2 - 2 - 22.
3*(s - 8)*(s - 1)**2
Let v(m) = -24*m**2 + 3689*m + 14. Let a(s) = 13*s**2 - 1843*s - 8. Let l(c) = 7*a(c) + 4*v(c). Factor l(f).
-5*f*(f - 371)
Factor 6152*k**2 - 1068234 - 1912048*k + 337138*k - 39*k**3 + 33*k**3 + 8473 + 7085.
-2*(k - 513)**2*(3*k + 2)
Factor -280/13*w**2 + 20164/13 + 9514/13*w + 2/13*w**3.
2*(w - 71)**2*(w + 2)/13
Let u(t) = -23*t**4 - 17*t**3 + 512*t. Let z(k) = -13*k**4 - 8*k**3 + 256*k. Let l(p) = -4*u(p) + 7*z(p). Factor l(g).
g*(g - 4)*(g + 8)**2
Let x(w) = -126*w**2 - 59*w - 240. Let i(k) = 5*k**2 + k. Let j(y) = 50*i(y) + 2*x(y). Determine v, given that j(v) = 0.
-24, -10
Factor 2*d**3 + 1221*d**2 - 1114*d - 4*d**3 - 398*d**2 + 293*d**2.
-2*d*(d - 557)*(d - 1)
Suppose 8*q - 3*q = 3*y - 16, -3*y - 3*q = 0. Suppose -3*u - 272 + 287 = i, -3*i - 3*u = -15. Factor -3/4*w + 1/4*w**y + i.
w*(w - 3)/4
Let s(t) = -t**4 + t**2 + 2*t - 1. Let i(a) = -3*a**4 + 12*a**3 + 26*a**2 - 76*a + 45. Let m(u) = i(u) - 4*s(u). Determine z, given that m(z) = 0.
-7, 1
Suppose -229*s + 217*s + 10272 = 0. Let c = s - 2567/3. Factor -2/3 - x - c*x**2.
-(x + 1)*(x + 2)/3
Suppose -17*p + 11097 = 3770. Determine s, given that 192*s**2 - 40*s + 216*s**2 + 4 + 17*s**3 - p*s**2 + 4*s**3 = 0.
-1, 2/21, 2
Let x be ((-11)/(-2) + -2)/((-3970)/(-9528)). Let u be (-102)/(-60) - 2/4. Factor -36/5 - u*z**3 + x*z + 0*z**2.
-6*(z - 2)*(z - 1)*(z + 3)/5
Let k(p) = 2*p. Let x(l) = l**3 - 102*l**2 + 203*l - 100. Let c(g) = 3*k(g) - 3*x(g). Factor c(f).
-3*(f - 100)*(f - 1)**2
Let b(x) = 10*x**3 + 9*x**2 + 22. Let i(f) = -50 - 4*f**3 + 48 - f**2 + 3*f**3. Let w(p) = -2*b(p) - 22*i(p). Solve w(s) = 0 for s.
-2, 0
Let x = 19 + -14. Suppose -4*t + 41 = -0*m - x*m, 3*t - 2 = -2*m. Suppose -13*a**4 + 5*a**t + 38 - 38 + 4*a**5 = 0. Calculate a.
0, 2
Suppose -118*m - 1115/4*m**2 - 12 + 125/2*m**3 + 125/4*m**4 = 0. What is m?
-4, -1/5, 12/5
Let l(p) be the first derivative of -227 - 25*p**3 - 9/4*p**4 + 27*p + 57/2*p**2. Solve l(w) = 0.
-9, -1/3, 1
Let l = -441 + 444. Suppose l*a - 56 = -11*a. Suppose 1/8*t**5 + 9/8*t - 2*t**2 - 1/4 + 7/4*t**3 - 3/4*t**a = 0. What is t?
1, 2
Let j(b) be the second derivative of b**4/42 - 29*b**3/21 + 198*b**2/7 + b - 498. Let j(w) = 0. What is w?
11, 18
Let f(l) be the first derivative of l**6/6 + 9*l**5/5 + 21*l**4/4 + 19*l**3/3 + 3*l**2 + 1170. What is k in f(k) = 0?
-6, -1, 0
Let g(c) be the third derivative of c**8/1512 + 2*c**7/135 + c**6/27 - 5*c**5/27 - 7*c**4/36 + 4*c**3/3 + 1014*c**2. Let g(d) = 0. What is d?
-12, -3, -1, 1
Let g = -3/1289 + 1361/30936. Let j(p) be the third derivative of 0*p**3 + 1/120*p**6 + g*p**4 + 6*p**2 + 0*p + 0 - 1/30*p**5. Factor j(y).
y*(y - 1)**2
Let i(w) be the third derivative of -w**5/390 + 15*w**4/52 + 250*w**3/39 - 2356*w**2. Let i(n) = 0. What is n?
-5, 50
Factor -544*w**2 + 548*w + 1652*w**3 - 1656*w**3 - 15 + 15.
-4*w*(w - 1)*(w + 137)
Let t = -11878/41 + 47635/164. Factor 19/6*q**2 + 1/2 - t*q**3 - 35/12*q.
-(q - 3)*(q - 1)*(9*q - 2)/12
Let q = 1639955/13 - 126149. Factor -48/13*x - 16/13*x**3 + 44/13*x**2 + 2/13*x**4 + q.
2*(x - 3)**2*(x - 1)**2/13
Let c(n) be the second derivative of -n**6/180 + n**5/10 - 2*n**4/3 + 16*n**3/9 - 3389*n. Factor c(z).
-z*(z - 4)**3/6
Suppose r = 101 - 75. Suppose -5*m = -5*s + 10, -7*s + 2*s + r = 3*m. Factor 2/3*d**m - 2/3 + 0*d.
2*(d - 1)*(d + 1)/3
Let z(f) = -f**3 + 25*f**2 + 222*f + 72. Let o be z(32). Let y(g) be the first derivative of 16 + o*g**2 + 64*g + 1/3*g**3. What is r in y(r) = 0?
-8
Let u = -84 - -87. Let b be u + -3 + 6/1. What is g in -8*g**5 + 4*g**4 + b*g**4 + 3*g**5 = 0?
0, 2
Let y(v) = -v**2 - 2*v. Let f(z) = 4*z**2 - 13*z - 18. Let w(s) = f(s) + 2*y(s). Let a(i) = i**2 - 9*i - 10. Let u(l) = -11*a(l) + 6*w(l). Factor u(g).
(g - 2)*(g - 1)
Let c(u) be the first derivative of u**4 - 28*u**3/3 + 30*u**2 - 36*u - 9098. Factor c(h).
4*(h - 3)**2*(h - 1)
Let d(s) be the second derivative of 3*s**5/20 + 7*s**4/4 - 4*s**3 - 16*s - 15. Solve d(z) = 0.
-8, 0, 1
Solve 246*l**4 - 60*l**4 + 12995*l**3 - 13720 - 621*l**4 + 30*l**5 - 55230*l**2 + 51940*l - 650*l**4 = 0 for l.
1/2, 2/3, 7, 14
Let k(n) be the first derivative of n**5/480 + n**4/48 + n**3/16 - 49*n**2/2 + 277. Let t(x) be the second derivative of k(x). Suppose t(i) = 0. What is i?
-3, -1
Let l(j) be the first derivative of j**5/40 + j**4/24 + 5*j - 65. Let f(d) be the first derivative of l(d). Factor f(o).
o**2*(o + 1)/2
Let h(q) be the first derivative of -q**3/15 - 49*q**2/5 + 40*q - 13158. Determine g, given that h(g) = 0.
-100, 2
Let g = 17 + 21. Factor 36*o**2 - 4*o - 2 - g*o**2 + 0.
-2*(o + 1)**2
Let s = 355 + -353. Let l(j) be the first derivative of 0*j + 2/39*j**3 - 1/26*j**4 - 15 + 0*j**s. Factor l(p).
-2*p**2*(p - 1)/13
Let l = 97179 - 680241/7. Solve l*t + 0 - 4/7*t**2 = 0 for t.
0, 3
Let l be 2 + (-4)/18 + (-6236)/(-36). Let u be l/(-42) - 2/(-12) - -4. Factor 9/4*y**2 - 3/4*y - 9/4*y**3 + u + 3/4*y**4.
3*y*(y - 1)**3/4
Determine k so that -406/5*k - 2/5*k**2 + 0 = 0.
-203, 0
Let x(c) = -10*c**2 + 34*c + 219. Let n(q) = q**2 + q - 5. Let d(o) = 44*n(o) + 4*x(o). Factor d(a).
4*(a + 4)*(a + 41)
Let t = -1/677042 - 2232884505/7447462. Let y = t + 300. Solve 0*c + 2/11*c**2 - y = 0.
-1, 1
Let v = 264 + -2631/