2 + h.
(q + 3)**2/5
Let f = -62228 + 186686/3. Solve -f*k**3 - 4/3 + 4/3*k + k**2 - 1/3*k**4 = 0 for k.
-2, 1
Suppose 2611*m - 2607*m + 5*d = -35, 5*m = 3*d + 21. Factor -10/13*h - 2/13*h**2 + m.
-2*h*(h + 5)/13
Solve -192 - 3988/3*o**2 + 1792*o - 778/3*o**3 - 34/3*o**4 = 0.
-12, 2/17, 1
Let j(g) = 160*g**2 + 240*g + 84. Let d(n) = 482*n**2 + 721*n + 253. Let f(w) = 4*d(w) - 13*j(w). Determine h so that f(h) = 0.
-20/19, -1/2
Suppose -53*b = -49*b - 203*b - 2 + 2. Suppose 14/9*t + b - 16/9*t**3 + 2/9*t**5 - 4/3*t**4 + 4/3*t**2 = 0. What is t?
-1, 0, 1, 7
Let c(z) = -z**2 - 11*z - 22. Let u be c(-4). Factor -u*f + 835*f**2 - 832*f**2 - 25 - 20.
3*(f - 5)*(f + 3)
Let v(f) be the first derivative of 63 + 5/4*f**4 + 360*f - 50/3*f**3 + 30*f**2. Determine r, given that v(r) = 0.
-2, 6
Determine p so that -72*p - 5/3*p**5 + 43/3*p**4 + 0 - 180*p**2 + 6*p**3 = 0.
-3, -2/5, 0, 6
Let u(h) = -3*h**4 - 4*h**3 + 47*h**2 - 12*h - 62. Let j(p) = 48*p**4 + 63*p**3 - 753*p**2 + 192*p + 993. Let r(c) = 2*j(c) + 33*u(c). Factor r(i).
-3*(i - 2)**2*(i + 1)*(i + 5)
Let b(m) = m**2 - 2. Let v(n) = 2*n**3 + 2*n**2 + 2*n + 7. Let l be (-798)/(-168) - (-2)/8. Let q(i) = l*b(i) + v(i). Solve q(o) = 0 for o.
-3, -1, 1/2
Let j be ((-84)/6 - -14) + 1/3. Let u(k) be the second derivative of -13*k + j*k**2 + 0 + 1/4*k**3 + 1/120*k**5 + 1/12*k**4. Solve u(d) = 0.
-4, -1
Let d(h) be the first derivative of -64 - 1/15*h**5 + 1/4*h**4 - 6*h + 19/9*h**3 - 1/2*h**2. Find v such that d(v) = 0.
-3, -1, 1, 6
Let k(j) = -18*j**4 - 48*j**3 + 34*j**2 + 10*j - 14. Let x(o) = o**2 - 3*o + 1. Let p(u) = -2*k(u) + 36*x(u). Solve p(a) = 0 for a.
-2, 2/3
Factor -1229/2*y + 7/8*y**3 + 1475/8*y**2 + 321/2.
(y - 3)*(y + 214)*(7*y - 2)/8
Let s = 2465 - 2460. Let g(x) be the first derivative of 0*x + 0*x**s - 35 + 1/10*x**4 - 1/10*x**2 + 0*x**3 - 1/30*x**6. Factor g(n).
-n*(n - 1)**2*(n + 1)**2/5
Let x(g) be the first derivative of g**5/20 + 15*g**4/8 - 139*g**3/12 - 21*g**2/2 + 153*g - 4771. Factor x(f).
(f - 3)**2*(f + 2)*(f + 34)/4
Let 4/7*z**4 + 320/7*z + 76/7*z**3 + 56*z**2 + 0 = 0. What is z?
-10, -8, -1, 0
Factor -2209*x + 0*x**2 - 312500 - 291*x - 5*x**2.
-5*(x + 250)**2
Let v be -4*(-10)/45*(-3)/82. Let g = 298/1599 + v. Solve -8/13*b + 0 + g*b**2 = 0 for b.
0, 4
Let c(a) be the third derivative of -a**6/180 - 13*a**5/270 + 5*a**4/18 - 818*a**2. What is n in c(n) = 0?
-6, 0, 5/3
Let t be (2/(-8)*-6)/((-66)/(-88)). Determine k, given that -t + 4*k + 10*k + 4*k**3 + 3*k**2 - 16*k - 2*k**5 - 2*k**4 + k**2 = 0.
-1, 1
Factor -2191*t - 70*t**5 + 68*t**5 + 18*t**3 + 2199*t - 22*t**2 - 2*t**4.
-2*t*(t - 1)**3*(t + 4)
Let n = -358 - -362. Let 7*y**2 + 50*y**3 + 137*y**5 - 5 + 25*y - 25*y**n - 57*y**2 - 132*y**5 = 0. What is y?
1
Let s(i) be the first derivative of 2*i**6/21 - 52*i**5/5 - i**4/7 + 52*i**3/3 + 15266. Determine m so that s(m) = 0.
-1, 0, 1, 91
Let n(h) = 2*h + 40. Let c be n(-13). Let 256*r**4 - 8*r + c*r**2 + 2*r**2 - 10*r**3 + 253*r**4 - 507*r**4 = 0. Calculate r.
0, 1, 2
What is l in -120/7*l + 9*l**2 + 30/7*l**3 + 3/7*l**4 - 300/7 = 0?
-5, -2, 2
Let w(n) = -5*n + 2. Let i be w(-3). Suppose 0*k - i = -k. Determine h, given that 27*h**4 - 6882*h**3 + 1 - 16*h + 3 - k*h**2 + 6912*h**3 = 0.
-1, 2/9, 2/3
Let b(a) be the third derivative of a**7/70 + 51*a**6/40 + 5*a**5/2 + 123*a**2. Determine d so that b(d) = 0.
-50, -1, 0
Suppose -4*k - 8 = 0, -10 = -4*o - k + 2*k. Let n be ((-9)/o)/3*-2. What is j in 2*j**n - 3*j + 5*j**3 - 9*j + 6*j**2 - 24 - 4*j**3 = 0?
-2, 2
Let a(d) be the first derivative of -d**6/30 - 13*d**5/5 - 169*d**4/2 - 4394*d**3/3 - 28561*d**2/2 - 371293*d/5 + 5623. Determine z, given that a(z) = 0.
-13
Let i(k) = -17*k**2 + 5224*k - 10473. Let d(u) = -10*u**2 + 5224*u - 10470. Let o(v) = 3*d(v) - 2*i(v). Suppose o(q) = 0. What is q?
-1308, 2
Let l(k) = -13*k**3 - 36*k**2 + 53*k + 96. Let x(d) = 10*d**3 + 36*d**2 - 54*d - 96. Let s(m) = 4*l(m) + 5*x(m). Factor s(q).
-2*(q - 16)*(q - 3)*(q + 1)
Let i(y) be the second derivative of -3 + 1/9*y**2 - 43*y - 1/108*y**4 + 1/54*y**3. Find t, given that i(t) = 0.
-1, 2
Find j such that 2 + 3*j**5 - 2 + 18*j**4 - 4*j - 7*j**3 + 36*j**2 + 16*j + 46*j**3 = 0.
-2, -1, 0
Suppose -4487*g + 5319 = 1084*g - 1235*g - 3353. Determine c, given that 0 - 8/7*c**3 - 4/7*c**g + 8/7*c + 4/7*c**4 = 0.
-1, 0, 1, 2
Let i be 476/187 + 12/(-22). Determine n, given that -11*n**i - 109*n**4 + 24*n**2 + 21*n**5 + 114*n**3 + 35*n**2 - 74*n**4 = 0.
-2/7, 0, 1, 8
Suppose -2*q - 22 = -3*y, 1870*y = 1871*y + 2*q + 14. Let o(l) be the first derivative of 0*l + 0*l**y - 4/15*l**3 + 1/10*l**4 - 23. Let o(z) = 0. Calculate z.
0, 2
Let r(c) = -6*c**2 + 58*c + 315. Let w(d) = -d**2 + 2*d. Let h(z) = 4*r(z) - 28*w(z). Factor h(f).
4*(f + 9)*(f + 35)
Let h(w) be the first derivative of -w**7/70 + 3*w**5/20 - w**4/4 + 6*w**2 + 3*w + 135. Let i(z) be the second derivative of h(z). Solve i(d) = 0.
-2, 0, 1
Let f(o) be the first derivative of -15/4*o**5 + 23 + 27/2*o**2 + 4*o - 39/2*o**3 + 55/4*o**4. Let j(m) be the first derivative of f(m). What is a in j(a) = 0?
3/5, 1
Let s(g) = 2*g + 2. Let n be s(-2). Let t be (n + (-4)/(-6))*12/(-8). Factor k + 6*k**t - 41*k**4 - 3*k - 6*k**3 + 43*k**4.
2*k*(k - 1)**3
Suppose 4*q - z - 24 = 0, -20793*q + 24 = -20797*q - 2*z. Solve -34/9*g**3 - 334/9*g**q + 26/3*g**4 + 32 + 2*g**5 + 16/3*g = 0 for g.
-3, -1, 4/3
Let g(x) be the first derivative of 2*x**3/3 + x**2/2 - x + 128. Let y(p) = 15*p**2 - 85*p + 90. Let w(b) = 10*g(b) - y(b). Find j such that w(j) = 0.
-20, 1
Suppose 0 = 18*a + 5*a - 2599. Factor 4*v**3 + 105*v**4 - a*v**4 + 19*v**5 - 15*v**5.
4*v**3*(v - 1)**2
Let m = 13915 + -13910. Let u(k) be the second derivative of 1/18*k**3 + 1/120*k**m + 0*k**2 + 0 + 30*k - 1/24*k**4. Factor u(f).
f*(f - 2)*(f - 1)/6
Let a(x) be the second derivative of -128*x**4/3 + 32*x**3 - 9*x**2 + 3*x - 115. Factor a(c).
-2*(16*c - 3)**2
Let n = 96511/28665 - 165/49. Let x = 18722/4095 + n. Solve 2/7*h**2 - x*h + 128/7 = 0 for h.
8
Let z(j) = 13*j**2 - 19*j + 13. Let d = -18 - -20. Let m(y) = -4*y**2 + 6*y - 4. Let n(q) = d*z(q) + 7*m(q). What is f in n(f) = 0?
1
Factor -991875/2 - 3/2*u**2 - 1725*u.
-3*(u + 575)**2/2
Let s(d) = -59*d**2 + 15806*d - 20861299. Let r(f) = -52*f**2 + 15808*f - 20861300. Let x(y) = 8*r(y) - 7*s(y). Suppose x(o) = 0. Calculate o.
2637
Let b(i) = 3*i**4. Let r(m) = 2*m**5 - 2*m**4 - 138*m**3 + 342*m**2 - 216*m. Let a(v) = 4*b(v) + r(v). Solve a(c) = 0 for c.
-12, 0, 1, 3
Let b(t) be the third derivative of 3/2*t**3 + 4/21*t**4 + 1/1260*t**6 + 3*t**2 + 0 + 0*t + 2/105*t**5. Let s(o) be the first derivative of b(o). Factor s(i).
2*(i + 4)**2/7
Let i be (-2)/(-5) - (-36)/10. Suppose 3*t - 11*q = -10*q - 4, -2*t + q - 4 = 0. Factor t*y**2 + 23*y**4 + 16*y**4 - 41*y**i + 4*y**3 - 2*y**2.
-2*y**2*(y - 1)**2
What is z in 3*z - 2040316*z**3 + 1300*z**2 + 8 + 2040654*z**3 - 209*z = 0?
-4, 1/13
Let x = 21 + -18. Factor -v**x - 291*v**2 - 4 + 279*v**2 - 36*v + 4.
-v*(v + 6)**2
Let l = -35 + 15. Let h be 28/8 + 10/l. Solve 0 - 3*a - 3/2*a**2 + 3/2*a**4 + 9/2*a**h - 3/2*a**5 = 0.
-1, 0, 1, 2
Suppose 11*u - 5*d = 100, 0 = 1620*u - 1619*u + 2*d + 13. Suppose -157/5*c**4 + 0 + 832/5*c**2 - 1182/5*c**3 - c**u + 512/5*c = 0. Calculate c.
-16, -2/5, 0, 1
Let z(s) be the third derivative of s**6/900 + 47*s**5/50 + 6627*s**4/20 + 311469*s**3/5 + 112*s**2. Find t, given that z(t) = 0.
-141
Factor -144*u + 4231*u**4 + 191*u**3 - 762*u**2 - 20*u**3 - 4198*u**4.
3*u*(u - 3)*(u + 8)*(11*u + 2)
Let g = 796026 - 796021. Determine m so that -8/9*m + 0 - 8/9*m**g - 2/3*m**4 + 34/9*m**3 + 8/3*m**2 = 0.
-2, -1, 0, 1/4, 2
Let g be (30/(-27))/((-85)/(-102)) + 3. Let r(z) be the second derivative of -25/6*z**2 + 0 - g*z**3 + 4*z - 5/36*z**4. Determine i, given that r(i) = 0.
-5, -1
Solve 3966*i + 3611*i - 6662*i + 5*i**2 = 0.
-183, 0
Let m = -79775/182 - -11519/26. Suppose -9 + m*d - 1/7*d**2 - 1/7*d**3 = 0. Calculate d.
-7, 3
Suppose 0 = -l + 4*n + 34, l - 2*n - 34 = -4*n. Factor 24 - l*b - 8*b**2 + b - 8*b**2 - 59*b.
-4*(b + 6)*(4*b - 1)
Let j(h) be the first derivative of h**6/9 - 38*h**5/15 - 10*h**4/3 + 76. Determine u so that j(u) = 0.
-1, 0, 20
Let n(u) be the second derivative of -u**4/18 + 20*u**3/9 - 17*u**2 + 4618*u. Find o such tha