/3*o**3. Solve u(i) = 0 for i.
-1, -1/4
Let h = 255 - 261. Let b be (-9 - h) + (-404)/(-28). Factor -470/7*q**3 - 8/7 - b*q - 50*q**4 - 290/7*q**2 - 14*q**5.
-2*(q + 1)**3*(7*q + 2)**2/7
Factor -2/5*s**2 + 0*s + 0*s**3 + 0 + 2/5*s**4.
2*s**2*(s - 1)*(s + 1)/5
Let g(k) be the first derivative of 256*k**3/15 - 4704*k**2/5 + 86436*k/5 - 274. Find c such that g(c) = 0.
147/8
Let u(r) be the first derivative of -2*r**5/15 + 11*r**4/6 - 8*r**3 + 12*r**2 + 1281. Factor u(d).
-2*d*(d - 6)*(d - 3)*(d - 2)/3
Let g be (42 - 13) + -68 + 69. Factor 3/2*c**2 + g*c + 57/2.
3*(c + 1)*(c + 19)/2
Let s be 31 - 15/((-15)/(-8)). Let m(f) be the second derivative of 0 + 0*f**3 + 1/3*f**4 - 3/10*f**5 + s*f + 0*f**2 + 1/15*f**6. Determine c so that m(c) = 0.
0, 1, 2
Let i = 33/1123 + 3237/4492. Let l(f) be the first derivative of i*f**2 - 2 + 5/2*f**3 - 3/8*f**4 - 15/2*f. Factor l(c).
-3*(c - 5)*(c - 1)*(c + 1)/2
Let k(u) be the first derivative of -3*u**4/32 - 9*u**3/8 + 225*u**2/4 + 231*u/2 + 3108. Factor k(b).
-3*(b - 14)*(b + 1)*(b + 22)/8
Let c(d) be the first derivative of 361*d**4/18 + 190*d**3/27 - 217*d**2/9 + 98*d/9 - 9922. Solve c(z) = 0 for z.
-1, 7/19
Suppose 40*k - 27*k = 65. Suppose 2*i - 3*i + 2 = 0, 5*c + k*i = 25. Factor -3/2*h**2 + 0 + 3*h**3 - c*h + 3/2*h**4.
3*h*(h - 1)*(h + 1)*(h + 2)/2
Let i be (1*(-7)/(84/(-32)))/((-31)/930*-35). Factor -i + 8/7*o**2 - 62/7*o.
2*(o - 8)*(4*o + 1)/7
Let g be 4*(-32)/(-20) + 11 + -17. Suppose b + 2 = -4*z, -2*z - 4 = -2*b + b. Let 1/5*a**4 + 0 - 1/5*a**b + 2/5*a - g*a**3 = 0. What is a?
-1, 0, 1, 2
Let i = 19771 - 494211/25. Let k = i - 44/25. Factor -k*s**3 - 2/5*s + 4/5 - 2*s**2.
-2*(s + 1)*(s + 2)*(2*s - 1)/5
Let h be 6/36*-3*2. Let c be (7/(-42)*0)/h. Suppose -1/5*m**4 + c + 1/5*m**3 + 0*m**2 + 0*m = 0. Calculate m.
0, 1
Let f(z) = -4*z + 3. Let g(t) = 11*t - 9. Let p(w) = -8*f(w) - 3*g(w). Let o be p(1). Factor -2*d**2 + 13*d**2 - 6*d - d**2 - o*d.
2*d*(5*d - 4)
Find g, given that 5184/5 - 21/5*g**4 + 16416/5*g + 624/5*g**3 - 5868/5*g**2 = 0.
-2/7, 6, 12
Let n be (13 - 1) + (40455/232)/(-15). Let k be (1/(-12))/(2/(-9)). Suppose 0 - 3/2*v**2 + n*v**4 - k*v**3 + 3/2*v = 0. What is v?
-2, 0, 1, 2
Let h be (7/((-168)/18))/(7 - 10). Let c(p) be the first derivative of 1/4*p**4 - 1/2*p**2 + h*p**3 - p - 20 + 1/20*p**5. Suppose c(t) = 0. Calculate t.
-2, -1, 1
Let y be 10 + (-1782)/220 + (3/5 - 1). Suppose 2*q = 2*h - 0 - 4, h - 2 = -4*q. Factor 3/8*j**h + 3/2 + y*j.
3*(j + 2)**2/8
Let q = -120106 + 120109. Factor -1/11*v**q + 10/11*v**2 - 72/11 - 12/11*v.
-(v - 6)**2*(v + 2)/11
Let h(m) = -9*m**3 - 4*m**2 - 3*m. Suppose 4*q + 3*g = 4, 2*g = -2*q + 4 - 0. Let t(c) = 8*c**3 + 4*c**2 + 2*c. Let l(v) = q*h(v) - 3*t(v). Factor l(p).
-2*p**2*(3*p + 2)
Solve -1/3*y**2 + 131/3*y + 266/3 = 0 for y.
-2, 133
Suppose -23*t + 15 + 9 + 22 = 0. What is a in -18/11*a**5 + 10/11 - 12/11*a**t + 124/11*a**3 + 6*a**4 - 42/11*a = 0?
-1, 1/3, 5
Let q be (1/(-3))/((-5)/30). Suppose q*g = -g + 36. Factor -3*o + 12 - 6*o - 3*o**2 - g.
-3*o*(o + 3)
Let a = -239 + 243. Factor -8*g**2 - 78*g - a + 5 + 66*g + 12*g**3 + 7.
4*(g - 1)*(g + 1)*(3*g - 2)
Solve 352*k + 18*k**3 - 3 + 3 + 12*k**2 - 7*k**3 - 15*k**3 = 0.
-8, 0, 11
What is p in 2170*p**3 - 333*p**2 - 106*p**5 + 41*p**5 - 175 - 1546*p**4 + 2723*p**2 - 2105*p - 669*p**4 = 0?
-35, -1, -1/13, 1
Factor 48/5 + 107163/5*q**2 + 4536/5*q.
3*(189*q + 4)**2/5
Let k(b) = b + 5. Let t be k(15). Suppose -38*s + 33*s = -t. Suppose 0*v**2 - s*v**3 + 12*v - 12*v**2 - 8 - 24*v + 4 = 0. What is v?
-1
Let j be 8/32*((-20)/(-5))/(3*1). Let d(q) be the first derivative of -20 + j*q**3 + 7*q**2 + 49*q. Factor d(m).
(m + 7)**2
Suppose 16 = 4*v + 4*n, 0 = 4*v + n - 18 + 5. Determine t, given that -10 - 40*t**3 - 35*t**3 + t**4 + 76*t**v + 23*t - 15*t**2 = 0.
-5, 1, 2
Let r(n) be the second derivative of -163*n - 10/3*n**3 + 3/4*n**5 + 0*n**2 - 1/6*n**6 + 0 + 0*n**4. Factor r(d).
-5*d*(d - 2)**2*(d + 1)
Let -18*p**2 + 35*p**3 - 26*p - 11*p - 39*p**3 + 2*p**3 + p = 0. What is p?
-6, -3, 0
Let v = -34850 - -137535/4. Let d = -466 - v. What is r in -3/4*r**4 + 1/4 - d*r**5 + 1/2*r**2 + 3/4*r - 1/2*r**3 = 0?
-1, 1
Let f(v) be the first derivative of -v**6/1800 - 19*v**5/300 + 13*v**4/40 - 15*v**3 - 36. Let m(w) be the third derivative of f(w). Solve m(y) = 0 for y.
-39, 1
Find l, given that -27/5*l**2 + 10*l + 0 + 1/5*l**3 = 0.
0, 2, 25
Let s(u) be the first derivative of -u**3 - 147*u**2/2 - 144*u - 369. Find h such that s(h) = 0.
-48, -1
Let m = 371 + -360. Let g be (-6)/2 - (-16 + m). Solve 2/3*t**g + 2/3*t - 4 = 0 for t.
-3, 2
Let w(s) be the second derivative of 4/7*s**2 - 1/42*s**4 + 0 - 10*s - 1/7*s**3. Determine x, given that w(x) = 0.
-4, 1
Let o be (-3 - -9 - 3) + -414. Let a = o + 414. Solve 2*q + 0 - 3/2*q**2 - 1/2*q**a = 0 for q.
-4, 0, 1
Let f = 178 + -175. Factor -7*l**4 - 2205*l**2 - 4*l**4 - 210*l**f - 5*l**4 + 11*l**4.
-5*l**2*(l + 21)**2
Let l(z) be the second derivative of 2/3*z**3 + 2/3*z**4 + 0*z**2 + 1/5*z**5 + z + 11. Let l(d) = 0. What is d?
-1, 0
Let w(d) = 2*d**2 + 40*d + 36. Let m be w(-21). Suppose 22*p + m = 144. Let -3/2*o**p + 0*o**2 + 6*o + 0 = 0. Calculate o.
-2, 0, 2
Let y be 10 + -4*(-2 - (-8)/3)*3. Let -4/3 + 11/3*p - 3*p**y + 1/3*p**3 + 1/3*p**4 = 0. Calculate p.
-4, 1
Suppose -3*v - 2*s + 60 - 38 = 0, -3*s + 27 = 3*v. Let h be 4/(-52)*(3 - v)*2. Factor 0 - h*k**2 - 4/13*k.
-2*k*(k + 2)/13
Let q(w) be the first derivative of 16*w - 6*w**2 - 81 - 4/3*w**3. Determine i, given that q(i) = 0.
-4, 1
Suppose -1961*q = -1959*q - 18. Let r be (q - (-472)/(-56))/1. Let r + 6/7*t**2 - 10/7*t = 0. What is t?
2/3, 1
Let j(d) be the second derivative of -4/9*d**2 + 2 - 1/9*d**4 + 1/3*d**3 + 1/90*d**5 - 59*d. Factor j(r).
2*(r - 4)*(r - 1)**2/9
Let x = -259 - -259. Suppose 2*i + 11 - 19 = x. Determine h, given that 8/3*h + 16*h**2 + 14*h**3 - 98/3*h**i + 0 = 0.
-2/7, 0, 1
Let v(m) be the first derivative of 2*m**2 + 4/9*m**3 - 14 - 1/9*m**4 - 34*m. Let o(t) be the first derivative of v(t). Find y such that o(y) = 0.
-1, 3
Let q(v) be the second derivative of -2/9*v**3 + 1/30*v**5 - v + 0*v**2 - 1/18*v**4 + 9. Factor q(i).
2*i*(i - 2)*(i + 1)/3
Suppose -10 - 14 = -6*b. Suppose -b*n + w = -n - 12, -4*n + w = -17. Determine z, given that 29*z**4 - n*z + 16*z**3 - 2*z**2 + z - 21*z**4 = 0.
-2, -1/2, 0, 1/2
Suppose 0 = -5*q - 5*a + 10, -4*q - a = -28 + 5. Suppose -q*n = -6*n - 3. Factor 47*r**2 + n*r - 48*r**2 - 2 + 0.
-(r - 2)*(r - 1)
Let u(n) = -8*n**3 - 3*n**2 + 6*n - 8. Let s be u(2). Let c be 344/s + (12 - 7). Factor -4/9*h**2 + c*h + 2/9*h**3 + 0.
2*h*(h - 1)**2/9
Determine l, given that 50 - 51/7*l**2 - 1/7*l**3 + 85/7*l + 1/7*l**4 = 0.
-7, -2, 5
Let b(w) = -3*w**2 - 2*w - 1. Let p(a) = -5*a**2 - 33*a - 64. Suppose 0 = 12*i - 8*i - 8. Let o(d) = i*b(d) - p(d). Factor o(j).
-(j - 31)*(j + 2)
Let v(w) = -2*w**2 - 5*w + 4. Let d(a) = -6*a**2 - 14*a + 12. Let c = -4 - -7. Let m = -767 + 759. Let z(h) = c*d(h) + m*v(h). Solve z(y) = 0 for y.
-2, 1
Let a(c) = -c - 8. Let h be a(-10). Suppose 2*n - 27 = -3*y, -h*n + 23 = 5*y - 6*y. Find r, given that -3*r**5 + n*r**3 + 4*r**3 - r**5 = 0.
-2, 0, 2
Let b = -1259432 + 7556599/6. Solve 1/6*y**2 + b - 4/3*y = 0.
1, 7
Find p such that 836/5*p**2 + 20216/15*p + 8*p**3 + 2/15*p**4 + 13718/5 = 0.
-19, -3
Let g(n) be the second derivative of -n**6/45 + 13*n**5/30 - 7*n**4/2 + 15*n**3 - 36*n**2 + 1512*n. Suppose g(h) = 0. Calculate h.
3, 4
Let w(i) be the second derivative of -i**6/90 - 497*i**5/60 - 4565*i**4/2 - 2245814*i**3/9 + 2287148*i**2/3 + i - 1866. Solve w(p) = 0 for p.
-166, 1
Let k(x) be the first derivative of 40 - 16/11*x**2 - 4/11*x**4 + 10/11*x + 12/11*x**3 + 2/55*x**5. Factor k(b).
2*(b - 5)*(b - 1)**3/11
Let f(g) be the second derivative of g**4/9 - 7*g**3/9 + g**2 + 414*g - 3. Factor f(m).
2*(m - 3)*(2*m - 1)/3
Let c(u) = -u**3 - 3*u**2 + 22*u + 21. Let i(x) = -2*x**3 - 9*x**2 + 43*x + 43. Let o(f) = 14*c(f) - 6*i(f). Factor o(k).
-2*(k - 9)*(k + 1)*(k + 2)
Let u = 5 + -3. Let d = -1092 - -1094. Solve -d + 3 + 4*s + u*s**2 + 1 = 0 for s.
-1
Let i = -194 - -415. Factor -300 - 268*u**3 - 3*u**5 - i*u**3 - 25*u**4 - 1083*u**2 - 44*u**4 - 839*u - 121*u.
-3*(u + 1)**3*(u + 10)**2
Let z be (21/9)/(4393/(-621)*3 + 22). Solve 7/3*f**2 + 8*