36/n*10/4. Suppose 6*m**3 + m**2 - m**2 - k*m**3 - 2*m**2 = 0. What is m?
0, 2/3
Factor -17/2*b + 0 - 1/2*b**2.
-b*(b + 17)/2
Factor -6*f**2 + 40/3 + 8*f - 2/3*f**3.
-2*(f - 2)*(f + 1)*(f + 10)/3
Suppose 11/2*q**4 + 1/2*q**3 + 0 + 0*q - 1/2*q**5 - 11/2*q**2 = 0. Calculate q.
-1, 0, 1, 11
Let y(a) = -5*a**4 + 6*a**3 + 36*a**2 - 3*a - 162. Let k(n) = 4*n**4 - 4*n**3 - 36*n**2 + 2*n + 162. Let t(j) = 3*k(j) + 2*y(j). Factor t(x).
2*(x - 3)**2*(x + 3)**2
Let x be -4 - 28/7*-2. Let c(d) be the second derivative of 5/12*d**5 + d + 0*d**2 - 5/9*d**x + 0 + 2/9*d**3. Factor c(s).
s*(5*s - 2)**2/3
Let f = 44 + -40. Factor 0*j + 3*j**3 - 4*j**4 + 7*j**f - j - 2*j - 3*j**2.
3*j*(j - 1)*(j + 1)**2
Let r be (-12 + -7 - -10) + 12. Let a(i) be the first derivative of 6 + 0*i + 2/35*i**5 - 2/21*i**r - 1/7*i**4 + 2/7*i**2. Factor a(d).
2*d*(d - 2)*(d - 1)*(d + 1)/7
Suppose -5*l + 22 = -3*j, 0*l - 3*l - 10 = 4*j. Suppose 4*w = 3*o + 20, -2*o = 3*o + 20. Factor -12 + 2*v**w + v**l - 12*v - v + 4*v.
3*(v - 4)*(v + 1)
Find p such that 0 + 1/4*p**5 + 0*p + 11/4*p**3 + 3/2*p**2 + 3/2*p**4 = 0.
-3, -2, -1, 0
Let n = 230 - 138. Let w = n + -90. Determine u so that 2/9*u**3 + 4/9*u + 0 - 2/3*u**w = 0.
0, 1, 2
Let k be (10/(-8))/((-70)/70). Let o(h) be the first derivative of 25/6*h**6 + 0*h + 0*h**2 + 8*h**5 + k*h**4 - 10/3*h**3 - 2. Suppose o(g) = 0. What is g?
-1, 0, 2/5
Determine y, given that 13/4*y**4 + 0 + 19/4*y**3 + 11/4*y**2 + 1/2*y + 3/4*y**5 = 0.
-2, -1, -1/3, 0
Let b(d) be the first derivative of d**4/2 + 2*d**3 - 9*d**2 + 10*d + 77. Factor b(v).
2*(v - 1)**2*(v + 5)
What is p in -3/4*p**2 + 21/4*p + 0 = 0?
0, 7
Let q be (-1 - 2/10)/(8/(-20)). Let 24*s**q + 10 - 5*s**4 - 108*s**2 + 216*s - s**4 - 172 + 4*s**4 = 0. What is s?
3
Let l(y) = 17*y**2 - 27*y + 10. Let b(i) = 35*i**2 - 54*i + 19. Let x = 35 - 31. Let g(o) = x*b(o) - 7*l(o). Find s, given that g(s) = 0.
2/7, 1
Factor -6*z - 5*z - 5*z**3 + 5*z + 10*z + 8 + z**3 - 8*z**2.
-4*(z - 1)*(z + 1)*(z + 2)
Let r = 45 + -36. Factor r*s**2 - s**3 - 8 - s + 4*s**2 + 2 - 9*s**2.
-(s - 3)*(s - 2)*(s + 1)
Let a(f) = -2*f**2 - 18*f + 15. Let x(q) = 5*q**2 + 54*q - 44. Let p(c) = 8*a(c) + 3*x(c). Let r be p(17). Find k, given that 2*k + 4 + r*k - 3*k + k**2 = 0.
-2
Let b(l) be the second derivative of l**5/5 + 17*l**4/18 + 5*l**3/9 + 3*l + 2. Factor b(w).
2*w*(2*w + 5)*(3*w + 1)/3
Let n(w) = -7*w**3 - 15*w**2 + 48*w - 44. Let d(h) = -9*h**3 - 15*h**2 + 48*h - 44. Let i(g) = 4*d(g) - 5*n(g). Let i(m) = 0. What is m?
2, 11
Determine v, given that -59*v**2 - 66*v**2 - 169 - 265*v + 5*v**3 + 34 = 0.
-1, 27
Suppose 4*c + c - 25 = 0. Find s, given that c*s**3 + 3*s**3 + 6*s**2 + s**3 = 0.
-2/3, 0
Suppose -4*l = -3*l - 11. Let w be (-10)/(-55) + 42/l. Let 0*i + i**5 + 0*i + 9*i**3 + 6*i**2 - w*i**5 = 0. What is i?
-1, 0, 2
Factor -190*r**3 + 50*r**4 + 15*r**2 + 28*r - 15*r**3 - 47*r**3 + 177*r**2 - 18*r**4.
4*r*(r - 7)*(r - 1)*(8*r + 1)
Suppose -31 + 21 = -5*m. Suppose -8 = -2*w - m*w. Determine n so that 4 + 0*n + 0*n**w - 3*n - 5 + 4*n**2 = 0.
-1/4, 1
Let f(v) be the second derivative of -v**7/42 - 8*v**6/5 - 263*v**5/10 + 100*v**4 - 625*v**3/6 + 4*v - 40. Factor f(h).
-h*(h - 1)**2*(h + 25)**2
Find x such that -5717*x**2 + 2*x**4 + 2*x**5 - x - 6*x**3 + 2857*x**2 + 5*x + 2858*x**2 = 0.
-2, -1, 0, 1
Let w be 1*2/6*111. Let o = w + -31. Factor o*r - r**4 + r**2 - 7*r + 0*r**4 + r**3.
-r*(r - 1)**2*(r + 1)
Let o(m) = 20*m**4 - 224*m**3 - 20*m**2 + 224*m - 48. Let a(r) = -13*r**4 + 149*r**3 + 13*r**2 - 149*r + 30. Let k(g) = 8*a(g) + 5*o(g). Factor k(t).
-4*t*(t - 18)*(t - 1)*(t + 1)
Let n(o) = 4*o**4 + 151*o**3 + 114*o**2 + 22*o + 11. Let s(k) = -2*k**4 - 76*k**3 - 56*k**2 - 12*k - 6. Let f(r) = -6*n(r) - 11*s(r). What is t in f(t) = 0?
-34, -1, 0
Let t(a) be the second derivative of -a**4/4 - 163*a**3 - 79707*a**2/2 - 2*a + 12. Factor t(n).
-3*(n + 163)**2
Let z = -19 - -23. Suppose -5*r - 6 = 3*k - 2*r, -z*r = 2*k + 12. Factor -5/2*w**3 - 1 + 5/2*w + w**k.
-(w - 1)*(w + 1)*(5*w - 2)/2
Find z such that -72*z - 331*z - 5*z**2 + 38*z = 0.
-73, 0
Let 37/2*v - 35 - 1/2*v**2 = 0. What is v?
2, 35
Let t = -26 + 32. Let k be (-260)/(-120) - 1/t. Factor -15*l**3 - 10*l**2 - l**4 + 0*l**4 - k*l**4 - 2*l**4.
-5*l**2*(l + 1)*(l + 2)
Let h(r) be the second derivative of 1/3*r**6 + 11/30*r**5 - 1/7*r**7 + 0 + 2/9*r**3 + 0*r**2 + 12*r - 11/18*r**4. Let h(n) = 0. What is n?
-1, 0, 1/3, 2
Let w(o) = o**2 - 4*o. Let x be w(6). Suppose -2*k - 4*y + x = 0, 4*y - 5 = 3. Let q + 0 + 1/3*q**3 - 4/3*q**k = 0. What is q?
0, 1, 3
Factor 21/2*v - 18 - 3/4*v**2.
-3*(v - 12)*(v - 2)/4
Factor -24/19 + 98/19*s - 8/19*s**2.
-2*(s - 12)*(4*s - 1)/19
Let c = -285 - -283. Let o(p) = 2*p**3 + p**3 - 2*p**3 - p**2 - 1. Let f(i) = -2*i**3 + 1. Let d(b) = c*o(b) - 2*f(b). Factor d(l).
2*l**2*(l + 1)
Factor 152/7*z**2 - 4/7 + 78/7*z**3 + 10*z.
2*(z + 1)**2*(39*z - 2)/7
Let z = 68 - 129. Let h = z - -61. Determine m, given that 0*m - 2/3*m**2 + h = 0.
0
Suppose j = 2*v - 4, 41*v = 5*j + 39*v - 4. Let q(d) be the first derivative of 5/2*d**4 - 2/5*d**5 - 16/3*d**3 + 7 + 0*d + 4*d**j. Factor q(y).
-2*y*(y - 2)**2*(y - 1)
Let n = -38486/17 - -2264. Determine l so that -2/17*l**2 - 4/17*l - n = 0.
-1
Let d(r) be the second derivative of r**5/30 + 27*r**4/2 + 2187*r**3 + 177147*r**2 + 2*r + 22. Factor d(n).
2*(n + 81)**3/3
Let q = 3 - 0. Let j(t) be the second derivative of -8/15*t**5 + 7/9*t**q - 1/3*t**2 + 0 - 5*t - 4/9*t**4. Factor j(x).
-2*(x + 1)*(4*x - 1)**2/3
Let v = -352 - -356. Let y(h) be the second derivative of -4/5*h**2 + 0 + 1/10*h**v - 2*h + 4/15*h**3 - 2/25*h**5 + 1/75*h**6. Determine k, given that y(k) = 0.
-1, 1, 2
Let b = -2437 - -2444. Find n such that -49/3*n**3 - b*n**2 - 4/3 + 8*n = 0.
-1, 2/7
Let a(k) = -3*k - 10. Let g be a(-4). Factor -g*i**4 + 109 - 109 - 2*i**2 - 4*i**3.
-2*i**2*(i + 1)**2
Factor -9/8*t - 3/8*t**3 - 15/8*t**2 + 3/8*t**4 + 0.
3*t*(t - 3)*(t + 1)**2/8
Let p(a) = 6*a**4 - 20*a**3 + 38*a**2 - 30*a + 10. Let k(r) = 7*r**4 - 20*r**3 + 39*r**2 - 31*r + 11. Let w(b) = -2*k(b) + 3*p(b). Let w(f) = 0. Calculate f.
1, 2
Let v(g) = 4*g + 2. Let d be v(-2). Let a(y) = -y**2 - 3. Let p = 55 + -59. Let u(q) = 2*q**2 + 4. Let l(j) = d*a(j) + p*u(j). Factor l(n).
-2*(n - 1)*(n + 1)
Let a(k) = -k**3 + 3*k**2 - 6*k + 40. Let n be a(4). Let n*x - 1/5 + 1/5*x**2 = 0. What is x?
-1, 1
Factor 3/7*o - 3/7*o**3 - 4/7 + 5/7*o**2 - 1/7*o**4.
-(o - 1)**2*(o + 1)*(o + 4)/7
Let s(x) be the second derivative of -1/24*x**4 + 0 + 1/12*x**3 + 0*x**2 + 12*x + 1/60*x**6 - 1/40*x**5. Suppose s(m) = 0. What is m?
-1, 0, 1
Let t(y) be the third derivative of -y**8/6720 - y**7/280 - y**6/48 - 7*y**5/120 + 5*y**4/3 - 34*y**2. Let u(z) be the second derivative of t(z). Factor u(v).
-(v + 1)**2*(v + 7)
Let a(j) be the first derivative of 5*j**4/36 + 5*j**3/18 - 5*j**2/3 + 22*j + 51. Let q(x) be the first derivative of a(x). Find i such that q(i) = 0.
-2, 1
Let n(w) be the first derivative of -w**4/18 + 2*w**3/3 - 8*w**2/9 - 80. Solve n(i) = 0.
0, 1, 8
Let p(s) be the first derivative of -3*s**4/28 + 15*s**3/7 - 57*s**2/7 + 72*s/7 - 292. Factor p(y).
-3*(y - 12)*(y - 2)*(y - 1)/7
Factor 0*d - 16/5*d**3 + 0*d**4 + 4/5*d**5 + 0*d**2 + 0.
4*d**3*(d - 2)*(d + 2)/5
Let f = -122 - -55. Let y = 71 + f. Factor 5/4*z**3 - 1/4*z**y + 0 + z - 2*z**2.
-z*(z - 2)**2*(z - 1)/4
Let t = -4019/24 + 215/24. Let j = -155 - t. Factor 1 + j*r**2 - r**3 - 7/2*r.
-(r - 2)*(r - 1)*(2*r - 1)/2
Let k(a) be the second derivative of a**4/30 + 22*a**3/15 - 48*a**2/5 - 3*a + 7. Factor k(c).
2*(c - 2)*(c + 24)/5
Suppose -2*a - 28 = -12. Let t(r) = -r**2 - 7*r + 8. Let v be t(a). Factor 0*q**4 - 2/5*q**5 + v*q**2 + 4/5*q**3 + 0 - 2/5*q.
-2*q*(q - 1)**2*(q + 1)**2/5
Solve -2248 + 1130 - 7*o**3 - 8*o**3 - 3*o**4 + 1088 + 9*o**2 + 39*o = 0 for o.
-5, -2, 1
Factor -4*z**2 + 126 + 6*z + 181 - 247 - 18*z - 11*z**2 + 3*z**3.
3*(z - 5)*(z - 2)*(z + 2)
Let j be (-561869)/(-1617) + (-1)/3. Factor 400/7*q + 729/7*q**5 + 1080/7*q**3 + 32/7 + 1520/7*q**2 - j*q**4.
(q - 2)**2*(9*q + 2)**3/7
Factor 0 - 13/9*n - 1/9*n**2.
-n*(n + 13)/9
Suppose q + 32 = 5*q. Factor 9*a + 4*a**2 + 4*a - q*a + 15*a.
4*a*(a + 5)
Suppose 189/5*h**3 + 42/5*h + 9/5*h**5 + 153/5*h**2 + 87/5*h**4 + 0 = 0. What is h?
-7, -1, -2/3, 0
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