i + 3*l**2 - 10*l**2 - 8*l = 0.
-2, 0
Suppose y + 50 = 6*y. Let n = y + -39/4. Determine i, given that 3/2*i**2 + i**3 + n*i**4 + 1/4 + i = 0.
-1
Suppose -34 = -19*f + 23. Factor 12/5*d**f + 22/5*d + 43/5*d**2 + 3/5.
(d + 3)*(3*d + 1)*(4*d + 1)/5
Let m(q) be the second derivative of q**5/90 + q**4/54 - 4*q. Factor m(h).
2*h**2*(h + 1)/9
Let b(c) be the third derivative of c**5/150 - c**4/15 + c**3/5 + 5*c**2. Find j such that b(j) = 0.
1, 3
Let s(n) = 3*n**4 - 8*n**2 + 5*n. Let k(l) = -4*l**4 + 12*l**2 - 8*l. Let c(d) = 5*k(d) + 8*s(d). Determine t, given that c(t) = 0.
-1, 0, 1
Suppose 0 = 5*p - 5 - 10. Let w be -2*((-6)/16)/p. Factor 1/2*z**2 - w*z + 0 - 1/4*z**3.
-z*(z - 1)**2/4
Let k(c) = 16*c**3 + 116*c**2 - 28. Let f be 1 + 14/2 + -3. Let a(d) = 3*d**3 + 21*d**2 - 5. Let n(q) = f*k(q) - 28*a(q). Factor n(g).
-4*g**2*(g + 2)
Suppose 6*z - 14 = 4*z. Let a = z - 7. Solve 5/3*p**4 + 0 + 4/3*p**2 - 1/3*p**5 - 8/3*p**3 + a*p = 0 for p.
0, 1, 2
Let p(u) be the first derivative of u**4/8 - 5*u**3/2 + 12*u**2 + 32*u + 9. Factor p(m).
(m - 8)**2*(m + 1)/2
Let j(f) = -f**2 - 5*f - 2. Let x be j(-4). Find g, given that -x*g**2 - 5 + 10 - 3 = 0.
-1, 1
Suppose -2*s = -9*s + 14. Suppose -h = s*h. Factor -1/4*g**4 + h + 3/4*g**3 - 3/4*g**2 + 1/4*g.
-g*(g - 1)**3/4
Let j(y) be the second derivative of y**9/68040 + y**8/30240 - y**7/11340 - y**6/3240 - y**4/4 - 2*y. Let u(g) be the third derivative of j(g). Factor u(p).
2*p*(p - 1)*(p + 1)**2/9
Let t be 3/4 + -1*18/(-8). Let m(w) be the second derivative of 0 - 1/72*w**4 + 0*w**2 - t*w - 1/36*w**3. Factor m(u).
-u*(u + 1)/6
Let l(w) = -5*w**4 + 15*w**2 - 13*w. Let i(a) = 10*a**4 - 30*a**2 + 25*a. Let z(j) = -3*i(j) - 5*l(j). Factor z(o).
-5*o*(o - 1)**2*(o + 2)
Suppose -4*w = -3*b - 12, -6 = -3*w + 2*b + 2. Determine i so that -1/5*i**2 + w*i + 1/5 = 0.
-1, 1
Let r be 1/(-4) - 9/(-4). Let m be (-12)/(-9)*(2 + 1). Let -10*f**3 - 2*f + 8*f**5 + 6*f - 6*f**m - r*f + 6*f**2 = 0. What is f?
-1, -1/4, 0, 1
Let 6*x**3 + x**3 + 9*x**2 - 16*x**3 + 5*x**4 - 2*x**4 - 3*x = 0. What is x?
0, 1
Let s(r) be the first derivative of -r**7/700 - r**6/180 + r**5/75 + r**4/15 + 2*r**3 - 2. Let p(m) be the third derivative of s(m). Factor p(z).
-2*(z - 1)*(z + 2)*(3*z + 2)/5
Let m = 4 + -2. Solve -3*c + 2*c**3 - c**2 - 4*c**m + c**2 + 5*c = 0 for c.
0, 1
Let w = 3 - 3. Suppose -2*y + 2*y**2 + 8*y + 4 + w*y**2 = 0. Calculate y.
-2, -1
Let v(u) = u + 2. Suppose -5 = 3*m + 2*m + 5*j, 1 = j. Let w be v(m). Factor h + h**2 + 0*h + w*h.
h*(h + 1)
Factor 8/9*y + 4/3*y**2 + 2/9*y**4 + 2/9 + 8/9*y**3.
2*(y + 1)**4/9
Suppose 74*x + 3*x**2 + x**2 - 4 - 96*x + 22*x**3 = 0. Calculate x.
-1, -2/11, 1
Let p(j) be the first derivative of -3/2*j**4 + 3 + 0*j**3 + 3/5*j**5 - 3*j + 3*j**2. Factor p(d).
3*(d - 1)**3*(d + 1)
Let l = -7 - -17. Let y = l + -28/3. Factor 0*k - y*k**2 + 0.
-2*k**2/3
Let d be 2/(15/6 - 2). Let t(l) = l**3 - l**2 - 1. Let j(g) = 3*g**3 - 6*g**2 - g - 4. Let u(k) = d*t(k) - j(k). Factor u(p).
p*(p + 1)**2
Let o(p) be the third derivative of p**6/70 - 9*p**5/140 + 3*p**4/28 - p**3/14 + 3*p**2. Let o(r) = 0. What is r?
1/4, 1
Let p(k) be the third derivative of 0*k**3 - 1/20*k**5 + 0 + 1/80*k**6 - 6*k**2 + 0*k**4 + 0*k. Factor p(z).
3*z**2*(z - 2)/2
Let z(m) be the third derivative of -1/6*m**4 + 2*m**2 - 1/15*m**7 + 1/5*m**6 + 0*m**3 + 0*m + 0 - 1/10*m**5. Factor z(h).
-2*h*(h - 1)**2*(7*h + 2)
Let j(k) be the second derivative of k**5/50 - 11*k**4/90 + 2*k**3/15 + 2*k + 2. Solve j(a) = 0 for a.
0, 2/3, 3
Let w(n) be the first derivative of 1/7*n**4 + 0*n**3 + 2 + 0*n**2 + 0*n. Factor w(p).
4*p**3/7
Let t(c) be the first derivative of -c**4 - 4*c**3 + 2*c**2 + 12*c + 6. Determine u so that t(u) = 0.
-3, -1, 1
Let m(d) = d**4 + d**3 - 1. Let h(v) = -9*v**4 - 21*v**3 - 16*v**2 + 5. Let a = 5 + -6. Let q(n) = a*h(n) - 5*m(n). Factor q(i).
4*i**2*(i + 2)**2
Let b(x) = 5*x**3 - 3*x**2 - 6*x + 10. Let l(t) = 15*t**3 - 8*t**2 - 19*t + 29. Let o(h) = -17*b(h) + 6*l(h). Factor o(p).
(p - 1)*(p + 2)*(5*p - 2)
Let h(f) = -f**3 - 4*f**2 - 2*f - 6. Let s be h(-4). Suppose -k - 3*n = s*n + 18, 3*k - 2*n - 14 = 0. Factor 0 - 1/3*y**k - 1/3*y.
-y*(y + 1)/3
Find c such that 1 + 9 - 2*c**3 - 5 - 6*c**2 + 2*c**4 + 2*c - 1 = 0.
-1, 1, 2
Let c = 225/4 - 56. Suppose v - 5 = -3. Factor -c + 1/4*s**v + 0*s.
(s - 1)*(s + 1)/4
Let u be 10/25 + 5 + -5. Determine s so that -u - s**3 + 2/5*s**2 + s = 0.
-1, 2/5, 1
Let n(y) be the first derivative of -3*y**6/20 + 3*y**5/10 - y**4/4 + y**3/9 - y**2 + 1. Let m(u) be the second derivative of n(u). Factor m(o).
-2*(3*o - 1)**3/3
Let x(v) be the third derivative of -v**8/252 + 4*v**7/315 + v**6/90 - 2*v**5/45 + 6*v**2. What is n in x(n) = 0?
-1, 0, 1, 2
Let k(c) = c**2 + 5*c + 3. Let i be k(-5). Factor 0*h**i - 3*h**5 - 4*h**4 - 2*h**3 + 9*h**4.
-h**3*(h - 1)*(3*h - 2)
Let w(o) be the third derivative of 0 + o**2 + 1/96*o**4 + 0*o**3 - 1/480*o**6 + 0*o + 0*o**5. Factor w(p).
-p*(p - 1)*(p + 1)/4
Let w = -3 + 8. Find j such that 2*j**3 - 12*j**w - 11*j**2 + 8*j - 13*j**2 + 24*j**4 + 2*j**5 = 0.
-1, 0, 2/5, 1, 2
Let c(z) be the second derivative of z**7/273 - 2*z**6/195 + z**4/39 - z**3/39 - 8*z. Factor c(y).
2*y*(y - 1)**3*(y + 1)/13
Let m = 37 + -25. Factor -p**4 - p**4 - 3 + m*p**3 + 12*p + 10*p**2 - p**4 - 28*p**2.
-3*(p - 1)**4
Let q = 98 - 96. Solve 6/5*f - 2/5*f**q - 4/5 = 0 for f.
1, 2
Factor 2*p**2 - 3*p**2 - 4*p + 5*p**2.
4*p*(p - 1)
Determine f so that 2*f**2 + 3*f - 6*f + 4*f**2 - 3*f**3 = 0.
0, 1
Let h(d) be the third derivative of 1/72*d**6 - 1/9*d**3 - 1/630*d**7 - 1/20*d**5 + 0 + 7/72*d**4 + 0*d + 6*d**2. Let h(l) = 0. What is l?
1, 2
Let x(a) be the third derivative of -a**8/1344 - a**7/280 - a**6/480 + a**5/80 + a**4/48 - 28*a**2. Determine f, given that x(f) = 0.
-2, -1, 0, 1
Let o(y) be the first derivative of -y**4 + 8*y**3/3 - 2*y**2 + 9. Factor o(m).
-4*m*(m - 1)**2
Let s(a) = -13*a**3 - 48*a**2 - 35*a - 5. Let c(w) = 20*w**3 + 72*w**2 + 52*w + 8. Let q(g) = -5*c(g) - 8*s(g). Determine j so that q(j) = 0.
-5, -1, 0
Let m(c) be the third derivative of -c**8/5040 + c**7/1260 - c**5/15 + 2*c**2. Let r(w) be the third derivative of m(w). Suppose r(k) = 0. Calculate k.
0, 1
Let i(c) = 58*c**2 - 32*c + 6. Let z(a) = -233*a**2 + 129*a - 25. Let o(y) = -18*i(y) - 4*z(y). Factor o(r).
-4*(4*r - 1)*(7*r - 2)
Let o(c) be the first derivative of -c**3/3 + c**2/2 + 2*c + 41. Find p such that o(p) = 0.
-1, 2
Suppose -2*i - l - 58 = -7*i, -2*l = -3*i + 39. Let h = i - 9. Factor 4/3*d - 1/3 - d**h.
-(d - 1)*(3*d - 1)/3
Let i = 8 + 2. Let n = -8 + i. Factor 4/7*s + 0 + 2/7*s**n - 2/7*s**4 - 4/7*s**3.
-2*s*(s - 1)*(s + 1)*(s + 2)/7
Factor 0 - 9/2*j**2 - j.
-j*(9*j + 2)/2
Let h(g) be the third derivative of -g**8/420 + 4*g**7/525 - g**6/150 - 13*g**2. Factor h(u).
-4*u**3*(u - 1)**2/5
Let s be 5/(-25) - 42/(-10). Factor -s*x + 9 + 87*x**2 - 63*x**3 - 21 - 8*x.
-3*(x - 1)*(3*x - 2)*(7*x + 2)
Let z = -1159/5 + 233. Factor -3/5*i**2 - z - 9/5*i.
-3*(i + 1)*(i + 2)/5
Let q(b) be the first derivative of -b**3/7 + 3*b/7 + 12. Factor q(i).
-3*(i - 1)*(i + 1)/7
Let z be 2*((-24)/20)/(-3). Find m, given that -4/5 + z*m - 1/5*m**2 = 0.
2
Let u = -245/12 - -87/4. Let t = -5/6 + u. Factor 1/4 + 1/2*q**3 - 3/4*q + 1/4*q**5 + t*q**2 - 3/4*q**4.
(q - 1)**4*(q + 1)/4
Solve -8*a**3 - 15*a**2 - 8*a**2 + a**2 - 9 - 24*a - a**4 = 0 for a.
-3, -1
Let 8/5 - 26/5*w**4 - 6/5*w**5 - 6/5*w**2 + 16/5*w - 34/5*w**3 = 0. What is w?
-2, -1, 2/3
Suppose 20*b**3 + 5*b - 120*b**4 + 0*b + 94*b**3 - 4*b**3 + 45*b**5 - 40*b**2 = 0. What is b?
0, 1/3, 1
Suppose -77*u = -73*u. Factor 2/3*p - 2/3*p**4 + 2*p**3 + u - 2*p**2.
-2*p*(p - 1)**3/3
Let r(m) be the first derivative of -3*m**4/4 - 3*m**3 - 9*m**2/2 - 3*m - 22. Factor r(t).
-3*(t + 1)**3
Factor -j**3 - j**2 + 2*j - 7*j + 2 + 5*j**2.
-(j - 2)*(j - 1)**2
What is c in 15*c**5 - 9*c**5 + 3*c**4 + 6*c**5 = 0?
-1/4, 0
Let g(y) = -5*y**4 - 2*y**3 + 3*y**2 - 4*y. Let z(v) = -9*v**4 - 4*v**3 + 5*v**2 - 7*v. Let f be -2*1/1 - -6. Let b(l) = f*z(l) - 7*g(l). Factor b(q).
-q**2*(q + 1)**2
Let w(b) be the first derivative of -2*b**3/13 + b**2/13 + 8*b/13 + 9. Solve w(x) = 0 for x.
-1, 4/3
Let p(w) = w**4 - 20*w**3 + 34*w**2 - 24*w - 2. Let j(k) = 9*k**4 - 201*k**3 + 339*k**2 - 240*k - 21. Let