3 + q*d**4. Factor w(y).
3*(y + 1)**2/4
Factor -2/3*s**2 - 26/3 + 28/3*s.
-2*(s - 13)*(s - 1)/3
Let o(f) = -3*f**3 - 3*f - 6. Let g(u) = -2*u**3 - 3*u - 5. Let h(j) = 6*g(j) - 5*o(j). Factor h(c).
3*c*(c - 1)*(c + 1)
Let r(f) = 10*f**3 - 86*f**2 + 110*f - 34. Let l(d) = -2*d**3 + 17*d**2 - 22*d + 7. Let u(y) = -16*l(y) - 3*r(y). Factor u(w).
2*(w - 5)*(w - 1)**2
Let k = 23161/3 + -7720. Find x, given that 4/3 + k*x**4 - x**2 - 4/3*x + 2/3*x**3 = 0.
-2, 1
Let w(m) = -61*m + 732. Let k be w(12). Let i(g) be the second derivative of 8*g**2 + 7*g + 27/4*g**4 - 12*g**3 + k. Suppose i(s) = 0. What is s?
4/9
Suppose 0 = -0*r + 16*r - 1744. Let l = r - 107. Find g, given that 0 + 2/3*g**2 + l*g = 0.
-3, 0
Let q be (-19)/(-5) - 1/(-5). Suppose 5*c = q*c. Suppose 3*i**4 - 4*i + 11*i**3 - 4*i**3 + c*i**4 = 0. Calculate i.
-2, -1, 0, 2/3
Let p = 299/34 - 829/102. Factor -4/3*o + 2/3*o**2 + p.
2*(o - 1)**2/3
Suppose -f = -4*q, -7*f + q = -4*f. Let o(l) be the third derivative of 0 - 1/40*l**5 - 1/2*l**3 + 3/16*l**4 + 6*l**2 + f*l. What is c in o(c) = 0?
1, 2
Let n(s) be the third derivative of s**8/336 - 9*s**7/70 + 167*s**6/120 + 223*s**5/60 - 7*s**4 - 98*s**3/3 + 3*s**2 + 9*s. Factor n(k).
(k - 14)**2*(k - 1)*(k + 1)**2
Let o(b) = -11*b**2 + 18*b - 25. Let w be (-4 + 4 + 2)*(0 - -1). Let u(h) = -h**2 - 1. Let l(d) = w*o(d) - 18*u(d). Factor l(q).
-4*(q - 8)*(q - 1)
Let q(s) be the first derivative of s**6/3 - 6*s**5/5 + s**4/2 + 2*s**3 - 2*s**2 - 270. Factor q(m).
2*m*(m - 2)*(m - 1)**2*(m + 1)
Suppose 7 = 4*g - 2*o - 7, 4*g + 5*o - 21 = 0. Factor 2*w**g - 11*w**4 + 7*w**4 - 2*w + 2*w**3 + 2*w**2.
-2*w*(w - 1)**2*(w + 1)
Let p = 16 - 8. Let -p*d**2 + 6*d**2 - 3*d**2 - 5*d = 0. Calculate d.
-1, 0
Let p(g) be the second derivative of -g**5/140 + g**4/21 - g**3/42 - 3*g**2/7 - g - 55. Let p(c) = 0. What is c?
-1, 2, 3
Let j be 69/(-165)*-1 - (-4 + 294/77). Let j*z**2 - 9/5 + 6/5*z = 0. What is z?
-3, 1
Suppose -636*b + 645*b - 36 = 0. Factor -5/8*f**3 - 1/8*f**b - 1/4 - 9/8*f**2 - 7/8*f.
-(f + 1)**3*(f + 2)/8
Let j = 19 + 11. Let 11*d**3 + 4*d + 33*d**3 + 3*d**2 - 33*d**2 + j*d**3 + 18*d**5 - 66*d**4 = 0. Calculate d.
0, 1/3, 1, 2
What is j in 0 - 39/5*j + 42/5*j**2 - 3/5*j**3 = 0?
0, 1, 13
Factor 1320*r + 11799/4*r**2 - 243/4*r**3 + 147.
-3*(r - 49)*(9*r + 2)**2/4
Let p(t) = -2*t**3 - t**2 - 4. Let h be p(-2). Find q such that -h*q - 9 + 12*q**2 + 9 - 4*q**3 = 0.
0, 1, 2
Let a = 4 + -18. Let x = 17 + a. Factor -4*j**x + 11*j**2 - 5*j**2 + 0*j**3 + j**3.
-3*j**2*(j - 2)
Let p(x) be the second derivative of 0*x**4 + 1/120*x**5 + 0 + x - 1/3*x**3 + 4/3*x**2. Factor p(d).
(d - 2)**2*(d + 4)/6
Factor 104*l**5 + 98*l**5 + 18*l**4 - 200*l**5.
2*l**4*(l + 9)
Let a(j) be the third derivative of -17*j**2 + 0 + 0*j + 5/2*j**3 + 5/3*j**4 - 11/12*j**5. Find m such that a(m) = 0.
-3/11, 1
Let b(h) be the second derivative of h**6/15 - 28*h**5/5 + 332*h**4/3 + 1120*h**3 + 3600*h**2 + 110*h. Factor b(z).
2*(z - 30)**2*(z + 2)**2
Let h be (5/10)/((-10)/(-60)). Let i(q) be the first derivative of -1/2*q**2 - 1/3*q**h - 6 + 0*q. Solve i(p) = 0 for p.
-1, 0
Let l = 58036/53181 - 10/2799. Let y = l + -8/19. Factor 1/3 - y*f**3 - f**4 - 1/3*f**5 + 2/3*f**2 + f.
-(f - 1)*(f + 1)**4/3
Find b, given that -274*b - 23*b**2 - 6*b**2 + 50*b**2 - 19*b**2 + 272 = 0.
1, 136
Determine s so that 3/7*s**2 - 39/7*s + 36/7 = 0.
1, 12
Let v(i) be the first derivative of -2*i**4/5 + 4*i**3/5 - 2*i**2/5 + 81. Factor v(u).
-4*u*(u - 1)*(2*u - 1)/5
Let v(h) be the third derivative of h**5/105 + 5*h**4/14 - 36*h**3/7 - 2*h**2 + 98. Solve v(r) = 0.
-18, 3
Let g = -214 + 2141/10. Let z(p) be the third derivative of g*p**4 - 1/150*p**5 - 3/5*p**3 - 5*p**2 + 0 + 0*p. Factor z(o).
-2*(o - 3)**2/5
Let k(o) be the first derivative of -10*o**6 + o**5 - 51. Factor k(l).
-5*l**4*(12*l - 1)
Suppose 0 = 4*c - 3*c - 4. Let o(n) = -2*n - 5. Let s be o(-6). Factor -5*i**c + i**2 - 15 + 15 + s*i**3 - 3*i.
-i*(i - 1)**2*(5*i + 3)
Factor -4*g**4 - 90*g + 90*g - 48 + 32*g**2 - 16.
-4*(g - 2)**2*(g + 2)**2
Factor -1/3*i**4 - 1/3 + 0*i + 0*i**3 + 2/3*i**2.
-(i - 1)**2*(i + 1)**2/3
Suppose 50/17 + 42/17*l**2 + 120/17*l + 4/17*l**3 = 0. Calculate l.
-5, -1/2
Factor 20/7*d - 2/7*d**2 + 0.
-2*d*(d - 10)/7
Let m = -257 + 262. Let x(o) be the first derivative of o**4 - 3 - 4/5*o**6 + 2/5*o**2 + 22/25*o**m + 0*o - 22/15*o**3. Determine w, given that x(w) = 0.
-1, 0, 1/4, 2/3, 1
Let d(z) = -z**2 + z + 1. Let l(r) = -5*r**2 + r - 1. Let n(t) = 4*d(t) - l(t). Let q(y) = 2*y**2 + 2*y + 6. Let m(s) = -6*n(s) + 5*q(s). Factor m(i).
4*i*(i - 2)
Let t(x) be the third derivative of x**5/30 - 13*x**4/24 - 3*x**2. Let p(r) = -r**2 - r. Let m(o) = -3*p(o) + t(o). Let m(c) = 0. Calculate c.
0, 2
Suppose 3 = 4*j - 5*o, j + o = 1 + 2. Find w, given that 4*w**2 - 16*w - 6*w + 4*w**j - 6 = 0.
-1/4, 3
Let d(q) = 2*q**4 + q**3 - 9*q**2 + 10*q - 1. Let n(o) = 2*o**4 + 2*o**3 - 10*o**2 + 10*o. Let u(x) = 4*d(x) - 3*n(x). Factor u(z).
2*(z - 1)**3*(z + 2)
Let b(x) be the first derivative of -x**4/8 + x**3/6 + x**2 - 2*x - 2. Solve b(k) = 0.
-2, 1, 2
Let n(u) be the second derivative of u**6/60 - 7*u**5/40 + 5*u**4/8 - 3*u**3/4 + 137*u. Determine a so that n(a) = 0.
0, 1, 3
Suppose 2*q - 9 = -q. Let d = 2 + 0. Solve m - m**q - 5*m - 4*m**d - 2 - m = 0.
-2, -1
Suppose 4*t + 8 = 4*z, 5*t = 4*t - 2*z + 4. Suppose -d - 8*d + d = t. Factor -1/4*q + d + q**2.
q*(4*q - 1)/4
Let v(l) be the first derivative of 10*l**7/21 - 3*l**5/4 - 5*l**4/12 - l + 4. Let x(t) be the first derivative of v(t). Solve x(g) = 0.
-1/2, 0, 1
Let v(a) be the first derivative of -5*a**3/3 - 15*a**2 + 35*a + 201. Factor v(m).
-5*(m - 1)*(m + 7)
Let u(a) = -29*a**5 - 93*a**4 - 93*a**3 - 19*a**2 + 6*a + 4. Let z(b) = -b**5 + 3*b**3 + b**2 - 1. Let g(k) = u(k) + 4*z(k). Factor g(l).
-3*l*(l + 1)**3*(11*l - 2)
Suppose 3*g - 6 = -3*p, 0 = 2*p + 3*g + 25 - 28. Suppose 1/4*x**5 - 5/4*x**2 - 3/4*x**p - 1/2*x + 1/4*x**4 + 0 = 0. Calculate x.
-1, 0, 2
Suppose -7*d + 11 + 3 = 0. Suppose u = -2*u + 2*g + 2, d*g - 2 = u. Factor -4/13*y + 0 + 2/13*y**u.
2*y*(y - 2)/13
Suppose 0 = -5*d + f - 41, -d + 3*f + 1 = -2. Let b be (-31 - d)*2/(-2). Factor 6*o**2 - b*o**2 - 4*o**3 - 6*o - 5*o - 5*o.
-4*o*(o + 2)**2
Suppose 4*d - 21 - 79 = 0. Solve -6 - 9*h**2 + h - 5*h + d*h = 0 for h.
1/3, 2
Let l be ((15/(-6))/((-200)/320))/((-15)/(-72)). Factor -2/15 - l*m**2 - 16/5*m.
-2*(12*m + 1)**2/15
Let m(h) be the second derivative of 0*h**2 + 0 - 1/84*h**7 - 1/30*h**6 + 1/12*h**3 + 12*h + 0*h**5 + 1/12*h**4. Suppose m(w) = 0. Calculate w.
-1, 0, 1
Let a(g) be the first derivative of -g**7/1260 + g**6/540 - g**3/3 + 16*g - 37. Let h(b) be the third derivative of a(b). Suppose h(l) = 0. Calculate l.
0, 1
Let v(x) be the first derivative of x**6/3 + 317*x**5/5 - 957*x**4/8 + 959*x**3/12 - 20*x**2 - 702. Factor v(c).
c*(c + 160)*(2*c - 1)**3/4
Let k(p) be the third derivative of p**8/112 - p**7/6 + 17*p**6/40 + 21*p**5/4 + 49*p**4/12 + 207*p**2. Find f such that k(f) = 0.
-2, -1/3, 0, 7
Let d be (-1)/3*36/(-4). Let j = d - -1. Determine f so that 3*f**2 - 7*f**3 - 7*f**3 - 3*f**j - f**5 + 10*f**5 + 5*f**3 = 0.
-1, 0, 1/3, 1
Let k = 918/5 - 182. Let w = -24/29 - -236/145. Factor 0*f**3 + 4/5 + w*f**4 + 0*f - k*f**2.
4*(f - 1)**2*(f + 1)**2/5
Suppose 33 = -3*o + 48. Let w(s) be the third derivative of 0*s + 7/2*s**4 + 0 - 8*s**2 + 343/120*s**6 + 49/10*s**o + 4/3*s**3. Let w(v) = 0. What is v?
-2/7
Let l = 84 + -84. Let t(r) be the third derivative of 0*r + 1/72*r**4 - 1/180*r**6 + 1/360*r**5 - 4*r**2 - 1/420*r**7 + l + 0*r**3. Solve t(w) = 0 for w.
-1, 0, 2/3
Suppose 8 - 20 = -3*a. Let s be a/(-42) + ((-44)/28 - -2). Determine i, given that 0*i**2 + s*i + 0*i**4 + 1/3*i**5 + 0 - 2/3*i**3 = 0.
-1, 0, 1
Factor 0 + 1/3*z**3 + 2/3*z**2 - z.
z*(z - 1)*(z + 3)/3
Find q such that 12/13 - 16/13*q**3 + 16/13*q**4 + 6/13*q**5 + 10/13*q - 28/13*q**2 = 0.
-3, -1, -2/3, 1
Factor -1/4*o**3 - 3/4 - 5/4*o**2 - 7/4*o.
-(o + 1)**2*(o + 3)/4
Let y(f) be the second derivative of 19*f - 5/3*f**3 - 1/6*f**4 + 0 - 6*f**2. Factor y(t).
-2*(t + 2)*(t + 3)
Suppose 282 = h + 279. Find m, given that 2/5*m**h - 4/5 - 8/5*m**2 + 2*m = 0.
1, 2
Let h = 829 - 821. Let z(d) be the third derivative of -5/336*d**h + 0*d**6 + 0*d**3 + 0*d**4 + 0*d