15*w**5 - 1/3*w**2. Factor h(u).
u*(u - 1)*(u + 1)*(u + 2)/3
Let k(g) = -16*g**2 - 15*g - 10. Let v(t) = -2 - 8*t**2 - 3*t + 7*t**2 + 0*t - 2*t**2. Let p(x) = 2*k(x) - 11*v(x). Factor p(o).
(o + 1)*(o + 2)
Factor 26 + 16*x**2 - 34*x**3 - 2 + 21*x**3 + 15*x**3 + 38*x.
2*(x + 1)*(x + 3)*(x + 4)
Suppose -16*h + 11*h = -50. Factor -2*w**2 - 2 + h + 0 + 0.
-2*(w - 2)*(w + 2)
Let p(d) be the first derivative of -2/3*d**2 - 9 + 2/9*d**3 + 2/3*d. Factor p(z).
2*(z - 1)**2/3
Let a(q) be the third derivative of -q**8/112 + 2*q**7/35 + 7*q**6/40 - 17*q**5/10 - 3*q**4/2 + 36*q**3 + 71*q**2. Let a(f) = 0. Calculate f.
-2, 2, 3
Let b = 3 + 1. Find k such that -36*k - 23*k**3 - 13*k**3 - 56*k**2 - 8 - 93*k**b + 85*k**4 = 0.
-2, -1, -1/2
Let j(r) = -2*r**3 + 6*r**2 - r + 7. Let d(l) = l**3 - 3*l**2 - 4. Let o = 13 + -19. Let q(x) = o*j(x) - 10*d(x). Factor q(g).
2*(g - 1)**3
Let f(x) = 5*x**3 + x**2. Let w be f(-1). Let r = 1 - w. Find n, given that -6*n**3 + 3*n**2 + 0*n**5 - 9*n**2 + 5*n**4 + 3*n + 3 + 3*n**r - 2*n**4 = 0.
-1, 1
Let m = -12087/5 + 2418. Let w(h) be the second derivative of 0 - 8/3*h**3 - 10*h + 0*h**2 + m*h**5 - 2/15*h**6 + 0*h**4. Factor w(c).
-4*c*(c - 2)**2*(c + 1)
Let v(q) = -q**2 + 2. Let d(f) = -5*f**2 + 2*f + 7. Let r(n) = d(n) - 4*v(n). Factor r(p).
-(p - 1)**2
Suppose -20402/9 - 2/9*c**2 + 404/9*c = 0. What is c?
101
Let j(w) be the second derivative of -w**6/180 + 3*w**5/40 - 7*w**4/18 + w**3 - 4*w**2/3 + w - 1. Suppose j(c) = 0. What is c?
1, 2, 4
Let d(t) = 12*t**3 + 9*t**2 - 21*t + 18. Let b(f) = -3*f**3 - 2*f**2 + 5*f - 4. Let r(z) = -9*b(z) - 2*d(z). Factor r(c).
3*c*(c - 1)*(c + 1)
Let v(h) be the second derivative of -h**5/20 + 5*h**4/6 - 9*h**3/2 + 9*h**2 - 190*h. Solve v(k) = 0 for k.
1, 3, 6
Let g(m) be the second derivative of 5*m**4/12 - 115*m**3/6 + 2*m + 28. Let g(y) = 0. What is y?
0, 23
Let q be 106*4/56 + -29 + 22. Let j(n) be the first derivative of -q*n**2 - 11 + 2/21*n**3 + 8/7*n. Determine k, given that j(k) = 0.
2
Let h(u) be the third derivative of u**8/336 - u**7/70 + u**6/120 + u**5/20 - u**4/12 - 5*u**2. Factor h(l).
l*(l - 2)*(l - 1)**2*(l + 1)
Let c(f) be the first derivative of -121*f**5/30 + 33*f**4/4 - 37*f**3/18 - 3*f**2 - 2*f/3 - 140. Let c(q) = 0. What is q?
-2/11, 1
Suppose 0 = -2*d + i + 14 + 1, 2*d - 5*i = 11. Suppose u - d = 4. Factor -3 - 1 + 0*f**2 + 2*f + 8*f**2 + u*f.
2*(f + 2)*(4*f - 1)
Let p(t) = 3 + 11*t + 5*t**2 + 4 + t**2 + 0. Let d(v) = -11*v**2 - 21*v - 13. Let g(q) = -6*d(q) - 10*p(q). Find k such that g(k) = 0.
-2, -2/3
Let y(n) = 3*n + 8. Let v be y(-2). Factor -3 - 18*u**v + 19*u**2 + 1 - u.
(u - 2)*(u + 1)
Let t(n) = -4*n + 7. Let m(o) = o - 2. Let j(k) = 18*m(k) + 4*t(k). Let r be j(4). Factor 2/7*v**4 + 0*v**3 + 0*v + r*v**2 - 2/7*v**5 + 0.
-2*v**4*(v - 1)/7
Factor 0 + 78/5*l - 3/5*l**2.
-3*l*(l - 26)/5
Let v(u) be the third derivative of -u**9/5544 - u**8/1540 + u**6/330 + u**5/220 - 19*u**3/6 - u**2 + 3. Let t(n) be the first derivative of v(n). Factor t(q).
-6*q*(q - 1)*(q + 1)**3/11
What is m in 94/3*m**2 + 0 - 4/3*m = 0?
0, 2/47
Let p be ((-3)/6)/(33/(-132)). Factor 0 + 3/2*c - 3/4*c**p.
-3*c*(c - 2)/4
Let p(u) = -u**3 - 6*u**2 + 6*u. Let o be p(-7). Let f = 7 - o. Find w such that f*w**3 - 3*w**3 + 2*w**3 = 0.
0
Let y(i) be the first derivative of -i**4/32 + 2*i**3/3 - 45*i**2/16 - 81*i/4 + 53. Factor y(n).
-(n - 9)**2*(n + 2)/8
Let r(q) be the third derivative of -1/60*q**5 - 1/42*q**7 + 1/12*q**4 - 3*q**2 - 1/15*q**6 + 0 + 0*q**3 + 0*q. Solve r(d) = 0 for d.
-1, 0, 2/5
Let i be ((-4026)/(-220))/(84/130). Let b = -111/4 + i. Factor -2/7*y**4 + 2/7*y**5 + 2/7*y + b*y**2 - 4/7*y**3 - 2/7.
2*(y - 1)**3*(y + 1)**2/7
Determine w, given that 0*w**2 - 32/3 + 2/3*w**3 - 8*w = 0.
-2, 4
Let z(l) be the first derivative of -4*l**5/25 + 13*l**4/5 + 56*l**3/15 - 394. Factor z(b).
-4*b**2*(b - 14)*(b + 1)/5
Let m(k) = -23*k**4 + 89*k**3 - 17*k**2 + 17*k - 34. Let d(q) = -8*q**4 + 30*q**3 - 6*q**2 + 6*q - 12. Let b(s) = -17*d(s) + 6*m(s). Let b(x) = 0. Calculate x.
0, 12
Let b(y) be the third derivative of y**6/180 - y**5/45 + y**4/36 - 40*y**2. Find l, given that b(l) = 0.
0, 1
Let w(h) be the second derivative of -h**6/40 + h**5/10 + 5*h**2/2 - 10*h. Let b(m) be the first derivative of w(m). Determine o so that b(o) = 0.
0, 2
Let r be -5 - 10/(90/(-51)). Let n(z) be the second derivative of 4*z**2 + 0 - 5*z + 2/3*z**3 - 1/5*z**5 - r*z**4. Factor n(j).
-4*(j - 1)*(j + 1)*(j + 2)
Suppose -4/7*y**3 + 2/7*y**4 + 2/7*y**2 + 0 + 0*y = 0. Calculate y.
0, 1
Let b = 394 + -392. Let r(l) be the second derivative of 0*l**3 - 1/10*l**4 + 4/5*l**b + 0 - 4*l - 1/50*l**5. Determine q, given that r(q) = 0.
-2, 1
Let p(l) = 7*l - 6. Let d be p(-6). Let i be 2/(-16) - 5142/d. Factor -6*m**2 + 8*m - 111 + i + 2*m**2.
-4*(m - 1)**2
Suppose 5*i = 3*m - 20, -4*m - 11*i = -10*i + 4. Let m + 0*o - 228*o**4 - 16/3*o**2 - 270*o**5 - 184/3*o**3 = 0. What is o?
-2/5, -2/9, 0
Let n(g) be the third derivative of g**5/15 + 2*g**4/3 + 8*g**3/3 - 98*g**2. Factor n(l).
4*(l + 2)**2
Let x(t) be the second derivative of -t**4/20 + t**3/2 + 9*t**2/5 + 90*t. Suppose x(y) = 0. What is y?
-1, 6
Suppose 6/5*o**3 - 1/5*o**4 + 0*o + 7/5*o**2 + 0 = 0. What is o?
-1, 0, 7
Let o(u) = u**2 + 6*u - 21. Let i be o(-10). Suppose 9*q = 4*q - 2*b + i, 4*q - 2*b = 8. Factor 2/5*c**q - 4/5*c**2 + 0 + 0*c.
2*c**2*(c - 2)/5
Let g be 1/(-3)*(-60)/8 - -2. Find i such that g + 3*i + 1/2*i**2 = 0.
-3
Solve -423*p + 24*p**2 + 510*p - 18 - 51*p**2 = 0.
2/9, 3
Solve -9216/7*x**2 + 0 - 384/7*x**3 + 0*x - 4/7*x**4 = 0.
-48, 0
Let t(g) be the second derivative of 0*g**4 + 2*g**3 - 13*g + 8*g**2 - 1/20*g**5 + 0. Factor t(w).
-(w - 4)*(w + 2)**2
Let n(d) = 4*d**4 - 4*d**2 - 4*d. Suppose -3*h + 1 - 13 = 0. Let p(u) = -9*u**4 + u**3 + 9*u**2 + 9*u. Let c(w) = h*p(w) - 10*n(w). Factor c(v).
-4*v*(v - 1)*(v + 1)**2
Let o(r) be the second derivative of 1/4*r**5 + 0 + 1/3*r**4 + 1/6*r**3 + 1/15*r**6 - 5*r + 0*r**2. Factor o(j).
j*(j + 1)**2*(2*j + 1)
Let i(c) be the third derivative of c**8/90720 + c**7/5670 + c**6/1080 + c**5/15 + 3*c**2. Let f(g) be the third derivative of i(g). Solve f(s) = 0.
-3, -1
Let z be (-13)/(-4) - (2 - (-91)/(-52)). Factor 0 + 0*v + 1/11*v**z + 2/11*v**4 + 0*v**2.
v**3*(2*v + 1)/11
Suppose -4*x = -3*x + 18. Let b = x + 38. Find q, given that -7 + 4 + 0*q**3 - 32*q - 4*q**3 - b*q**2 - 13 = 0.
-2, -1
Suppose -k**5 - 89*k**4 - 94*k**4 + 182*k**4 = 0. Calculate k.
-1, 0
Let g = -51 - -10. Let q = 13 - g. Factor -q*h**3 - 8/3 + 64/3*h - 30*h**2.
-2*(h + 1)*(9*h - 2)**2/3
Let m(d) = 4*d. Let k be m(3). Let z be 366/15 - k/30. Factor -c**3 - 24 + 8 - 9*c**2 + z*c + 2*c**3.
(c - 4)**2*(c - 1)
Let b(z) = -8*z**2 - 17*z - 2. Let v = -3 - -9. Let o be -5 + 2 + v - 10. Let h(q) = 4*q**2 + 9*q + 1. Let u(r) = o*h(r) - 4*b(r). Factor u(m).
(m + 1)*(4*m + 1)
Let k = 26452 - 396778/15. Solve -8/15 + k*c**2 + 0*c = 0 for c.
-2, 2
Suppose -t = 2*t. Let m = 5 + t. Factor 6*l**5 + 5 - 15*l - 5*l**m + 4 + 14*l**3 - 7*l**4 - 2*l**2.
(l - 3)**2*(l - 1)**2*(l + 1)
Let o(z) be the first derivative of 9*z**5/5 + 37*z**4/2 + 133*z**3/3 + 40*z**2 + 12*z + 27. Solve o(d) = 0.
-6, -1, -2/9
Let l(y) be the first derivative of -3/4*y**3 + 6 - y + 3/2*y**2. Factor l(n).
-(3*n - 2)**2/4
Let t(q) be the first derivative of -q**3/12 - 253*q**2/4 - 64009*q/4 + 567. Solve t(s) = 0 for s.
-253
Let n(d) be the third derivative of -d**8/8400 + d**7/1575 + 5*d**4/24 + 15*d**2. Let x(l) be the second derivative of n(l). Factor x(c).
-4*c**2*(c - 2)/5
Let j(d) be the first derivative of d**6/12 + d**5/2 + d**4 + 2*d**3/3 - 107. Factor j(s).
s**2*(s + 1)*(s + 2)**2/2
Let m = -48 + 52. Find v such that 49 + 4*v**3 - m*v**5 - 49 = 0.
-1, 0, 1
Let f(i) be the first derivative of -i**6/18 + 16*i**5/15 - 2*i**4 + 4*i**3 + 3. Let r(o) be the third derivative of f(o). Let r(q) = 0. What is q?
2/5, 6
Let g(f) be the third derivative of -5*f**8/84 - 34*f**7/105 - 7*f**6/10 - 11*f**5/15 - f**4/3 - 175*f**2. Factor g(v).
-4*v*(v + 1)**3*(5*v + 2)
Let z(q) = q**4 - q**2 + 6*q - 6. Suppose 5*t = -83 + 113. Let s(p) = 3*p**4 - 3*p**2 + 17*p - 17. Let m(k) = t*s(k) - 17*z(k). Let m(x) = 0. Calculate x.
-1, 0, 1
Let g(y) = -2*y - 9. Let k be g(-7). Let f be 1*6 + k + -9. Factor -4 