/9*s**2 + 0 + 2/9*s**4 + j*s.
2*s**2*(s - 2)**2/9
Let w(f) be the first derivative of -f**6/30 - 2*f**5/5 - 13*f**4/20 + 4*f**3 - 18*f**2/5 + 9. Factor w(s).
-s*(s - 1)**2*(s + 6)**2/5
Let u(r) be the first derivative of -5*r**4/4 - 5*r**3/3 + 5*r**2/2 + 5*r + 27. Let u(i) = 0. What is i?
-1, 1
Let m(y) be the second derivative of -y**6/2340 - y**5/780 + y**4/78 - 2*y**3/3 + 32*y. Let c(t) be the second derivative of m(t). What is o in c(o) = 0?
-2, 1
Let m(w) be the third derivative of 2*w**7/525 - w**6/50 + w**5/75 + w**4/10 - 4*w**3/15 + 12*w**2. Solve m(g) = 0 for g.
-1, 1, 2
Let y(j) be the third derivative of 0*j**3 + 0*j**4 + 1/24*j**6 - 15*j**2 + 1/42*j**7 + 0*j - 5/336*j**8 + 0 - 1/12*j**5. Suppose y(v) = 0. What is v?
-1, 0, 1
Let d(x) = -22*x**2 - 100*x - 46. Let j be d(-4). What is k in 24/5 - 3/5*k**j + 21/5*k = 0?
-1, 8
Let d be (-74)/(-222)*(0 + 3*1). Let x be d*252/35 + 8/(-2). Solve -136/5*j - 50*j**4 - 84*j**2 - 110*j**3 - x = 0 for j.
-1, -2/5
Suppose 0 = 5*q + 5*p + 80, -10 = q - 14*p + 17*p. Let l = -19 - q. What is s in -s**2 + 1/2*s + 1/2*s**3 + l = 0?
0, 1
Factor 34*p**2 + 37*p**2 - 4*p**4 - 2*p**5 + 6*p**3 - 71*p**2.
-2*p**3*(p - 1)*(p + 3)
Factor -7/3*y + 8/3 - 1/3*y**2.
-(y - 1)*(y + 8)/3
Let y(m) = 128*m - 202. Let j be y(2). Determine f so that 6 + 686/9*f**5 + j*f + 2254/9*f**4 + 188*f**2 + 2828/9*f**3 = 0.
-1, -3/7
Let d = 94 + -50. Let n = d + -299/7. Factor 0*s + 0*s**2 + 0*s**3 + 3/7*s**5 - n*s**4 + 0.
3*s**4*(s - 3)/7
Find k such that 1058 + 1/2*k**2 - 46*k = 0.
46
Let m(a) be the first derivative of 0*a + 24 + 4/15*a**3 + 2/5*a**2. What is u in m(u) = 0?
-1, 0
Let b = -3 - -6. Let p(g) be the first derivative of -22/9*g**b + 4/3*g**2 + 2/9*g**6 - 17/15*g**5 - 2 + 7/3*g**4 - 1/3*g. Factor p(o).
(o - 1)**4*(4*o - 1)/3
Let n be 4/28*-2 + 30/(-56). Let v = n + 5/4. Factor -3/7*r**3 + 3/7*r**2 + v*r - 3/7.
-3*(r - 1)**2*(r + 1)/7
Let y(i) = -407 + 10*i**2 + 3*i**2 - 16*i**2 + 90*i. Let z(k) = -35*k**2 + 1080*k - 4885. Let u(j) = -25*y(j) + 2*z(j). Factor u(l).
5*(l - 9)**2
Let n = -6/775 - -6218/2325. Determine b, given that 4/3*b + n + 1/6*b**2 = 0.
-4
Determine i so that 1/8*i**3 - 1 - 3/4*i**2 + 3/2*i = 0.
2
Let h = 65650/11 + -5968. Determine o so that -4/11*o + h*o**2 + 0 + 4/11*o**3 - 2/11*o**4 = 0.
-1, 0, 1, 2
Let r be 175/105*(-2 - (-194)/70). Factor 0 - 3/7*o**4 - r*o**2 - 12/7*o**3 + 0*o.
-3*o**2*(o + 1)*(o + 3)/7
Let g(x) be the first derivative of x**3 + 21*x**2 - 606. Factor g(t).
3*t*(t + 14)
Let v = -126 - -136. Suppose -v*p - 22 + 4*p**3 + 46 - 18*p = 0. Calculate p.
-3, 1, 2
Let q be 24/3 - (-30)/(-10). Suppose 0*p + 3/8*p**2 + 9/4*p**3 + 0 + 3/2*p**q + 27/8*p**4 = 0. What is p?
-1, -1/4, 0
Suppose 63*f - 59*f - 76 = 0. Let 5*m**3 + 11*m - f*m**2 - 116 + 60 + 59 = 0. What is m?
-1/5, 1, 3
Let j(s) = -2*s**4 - 18*s**3 + 10*s. Let r(m) = -9*m**4 - 72*m**3 + 42*m. Let y(u) = 21*j(u) - 5*r(u). Suppose y(b) = 0. What is b?
0, 6
Let z(y) be the second derivative of -1/5*y**5 + 14 - y + 0*y**2 - 1/15*y**6 + 8/3*y**3 + 2/3*y**4. Factor z(t).
-2*t*(t - 2)*(t + 2)**2
Determine g, given that 0 - 9*g + 3/2*g**2 = 0.
0, 6
Let r(j) be the second derivative of j**6/6 - 66*j. Factor r(w).
5*w**4
Let r(d) be the first derivative of 2*d**6/3 + 20*d**5 - 250. Solve r(o) = 0.
-25, 0
Let a(j) be the first derivative of -54*j**5/25 + 213*j**4/20 - 68*j**3/5 - 6*j**2/5 + 273. What is x in a(x) = 0?
-1/18, 0, 2
Let w = 9523/420 + -1/140. Let l = w + -22. Determine g so that -2*g + 2*g**3 + 2/3*g**2 + l*g**4 - 4/3 = 0.
-2, -1, 1
Factor 13/5*h**2 + 12*h - 2*h**3 + 36/5 + 1/5*h**4.
(h - 6)**2*(h + 1)**2/5
Let x(q) = -2 - q + 7 + q**2 + 7*q + 0. Let r be x(-5). Factor -2/7*z**3 + 0*z - 2/7*z**4 + r + 0*z**2.
-2*z**3*(z + 1)/7
Let r be ((-795)/(-2544))/(5/24). Factor 0*m**2 - 3/2*m + 0 + r*m**3.
3*m*(m - 1)*(m + 1)/2
Find l, given that -29*l**2 + 64*l - 6*l**3 + 70*l**2 + 46*l**3 - 60 - l**5 + 19*l**4 - 103*l**3 = 0.
-1, 1, 2, 15
Let b(v) be the second derivative of -v**5/20 - v**3/6 + v**2/2 + 25*v. Let r(x) = 16*x**3 - 8*x**2 + 48*x - 36. Let a(t) = -20*b(t) - r(t). Solve a(s) = 0.
-4, 1
Let n be (4/(-6))/(0 - 2/9). Suppose n*x = 2*f + 16 - 0, x - 27 = 5*f. What is h in 0 - 1/4*h**x + 1/2*h - 1/4*h**3 = 0?
-2, 0, 1
Let l = -3398 - -3400. Solve 0 + l*u**3 - 2/5*u + 2/5*u**2 + 6/5*u**4 = 0.
-1, 0, 1/3
Factor 225/2*m**3 + 1/8 + 120*m**2 + 61/8*m.
(m + 1)*(30*m + 1)**2/8
Let y(q) = 7*q**2 - 12*q + 1. Let j(f) = 8*f**2 - 13*f + 2. Let p(s) = 6*j(s) - 7*y(s). Let h(v) = -v**2 + 7*v + 5. Let c(u) = -2*h(u) + 3*p(u). Factor c(a).
-(a - 5)*(a + 1)
Find w such that 23*w**3 + 315*w - 3*w**4 + 6*w**4 + 45*w**2 - 11*w**3 + 15*w**3 - 390*w = 0.
-5, 0, 1
Suppose -t + 5 = 3*q, -5*q + 10*q + 2*t = 7. Find c, given that 1/10*c**4 + 0 + 3/10*c**q + 3/10*c**2 + 1/10*c = 0.
-1, 0
Let g(u) be the third derivative of 28*u**2 + 2/285*u**5 + 0 - 1/285*u**6 + 2/57*u**3 + 7/228*u**4 + 0*u. Suppose g(h) = 0. Calculate h.
-1/2, 2
Let k = 7 + 2. Suppose -3*o = -f - 17, 3*f - 2*f + k = o. Factor 1 + 5/2*j - 3/2*j**5 - 5*j**3 - 5*j**o + 0*j**2.
-(j + 1)**4*(3*j - 2)/2
Let w(m) be the first derivative of 0*m + 6/25*m**5 + 0*m**3 + 0*m**2 - 13 + 3/20*m**4 + 1/10*m**6. Let w(t) = 0. Calculate t.
-1, 0
Let f = -150096/685 + 756/137. Let x = f - -214. Determine u so that -2/5*u**4 + 6/5*u**2 + x*u - 2/5*u**3 - 4/5 = 0.
-2, -1, 1
Let w = 1957/12 - 163. Let u(t) be the first derivative of w*t**3 + 6 - 3/4*t - 1/4*t**2. Factor u(q).
(q - 3)*(q + 1)/4
Suppose 2911 = -24*a + 2911. Factor -4/5*f + 2*f**2 + a.
2*f*(5*f - 2)/5
Let q(x) be the first derivative of -1/8*x**3 + 3/4*x - 12 + 3/16*x**2. Determine g so that q(g) = 0.
-1, 2
Let s = -25 - -28. Suppose s*v - 3 = 2*v. Suppose 30*c**3 + 6*c**2 + 8*c**3 + 84*c**4 - 10*c**v + 17*c**3 = 0. Calculate c.
-2/7, -1/4, 0
Let h be 17328/(-9912) - -2*1. Let s = 2/59 + h. Factor 0 - s*f**2 + 4/7*f.
-2*f*(f - 2)/7
Solve 24/5*z**3 + 0 + 128/5*z + 96/5*z**2 + 2/5*z**4 = 0 for z.
-4, 0
Let z(s) = 9*s**3 + 3*s**2 - 3*s + 3. Let o(u) = 0*u**3 - 9*u - 5*u**2 + 11*u - 6 - 17*u**3 + 5*u + u**4. Let q(l) = -3*o(l) - 5*z(l). Factor q(f).
-3*(f - 1)**3*(f + 1)
Find g, given that 2*g**4 - 4*g - 10/3*g**2 + 0 + 16/3*g**3 = 0.
-3, -2/3, 0, 1
Let a = 11/18 - -17/90. Factor 6/5*r - 2/5*r**2 - a.
-2*(r - 2)*(r - 1)/5
Let x(b) be the first derivative of -b**4/7 - 22*b**3/21 - 17*b**2/7 - 12*b/7 - 550. Factor x(m).
-2*(m + 2)*(m + 3)*(2*m + 1)/7
Let y(n) be the third derivative of n**6/24 - 7*n**5/12 - 5*n**4/24 + 35*n**3/6 + 31*n**2 + 2. Let y(m) = 0. Calculate m.
-1, 1, 7
Let x(g) be the second derivative of -5*g**4/48 + 125*g**3/12 - 643*g. Factor x(q).
-5*q*(q - 50)/4
Factor -z + 924*z**2 - 912*z**2 + z - 2*z**4 - 2*z**3.
-2*z**2*(z - 2)*(z + 3)
Let l = 585/1351 - 56/193. Let a = 0 - -2. Solve 1/7*z**3 + 2/7*z**a + l*z + 0 = 0.
-1, 0
Let w(z) be the third derivative of 0*z + 1/30*z**6 + 0*z**3 - 1/6*z**4 - 8*z**2 + 0*z**5 + 0. Factor w(s).
4*s*(s - 1)*(s + 1)
Suppose -42*h**3 - 351*h**2 - 486*h + 9/2*h**4 + 405/2 = 0. Calculate h.
-3, 1/3, 15
Let h(w) be the second derivative of -2*w**5/5 - 8*w**4 - 39*w**3 - 81*w**2 + 3*w + 11. Find f, given that h(f) = 0.
-9, -3/2
Let d = -23 - -26. Let -3*o**4 + 38*o - 3*o**2 - 38*o + 6*o**d = 0. Calculate o.
0, 1
Let u(h) be the third derivative of -h**7/105 + h**6/15 + h**5/30 - h**4/3 + 16*h**2 + h. Factor u(t).
-2*t*(t - 4)*(t - 1)*(t + 1)
Let c(q) = 2*q**4 - 2*q**3 + q**2 - q - 1. Let x(p) = -p**5 + 21*p**4 - 332*p**3 + 1202*p**2 - 1674*p + 790. Let r(f) = -6*c(f) - x(f). Factor r(z).
(z - 14)**2*(z - 2)**2*(z - 1)
Let p = 205819/9 - 22867. Factor 2/9*i**3 + 8/9 + p*i + 10/9*i**2.
2*(i + 1)*(i + 2)**2/9
Let u(q) = -1296*q**2 + 360*q - 39. Let b(m) = 2. Let v(f) = 7*b(f) + u(f). Solve v(y) = 0 for y.
5/36
Let z(n) = 3*n**5 - 22*n**4 + 5*n**3 - 4*n**2 + 6*n + 6. Let p(s) = s**2 + s**5 + 64*s - 1 - 34*s - 31*s + s**4. Let a(c) = 6*p(c) + z(c). Solve a(o) = 0.
-2/9, 0, 1
Suppose -2*t - 5*k + 21 = 0, -8 + 23 = 5*k. Factor 5/3*z**t + 0 - 5/3*z**2 + 0*z - 5/3*z**5 + 5/3*z**4.
-5*z**2*(z - 1)**2*(z + 1)/3
Determine v so that 0*v + 0 + 6/5*v**2 - 1/5*v**3 = 0.
0, 6
Let n be 30/(-125)*((-15)/30 - 37/6). Factor 6/5*l + n*l**2 + 0.
2*l*(4*l + 3)/5
Let y(i) be the third derivative of 5/8*i**3 + 0*i + 7*i*