0*y + o + 1/8*y**3 = 0?
-1, 0, 1
Let 75/8*j**2 - 27/8*j**3 - 3/2 - 9/2*j = 0. Calculate j.
-2/9, 1, 2
Factor -10/9*i**3 + 2/9*i**4 - 20/9 + 34/9*i - 2/3*i**2.
2*(i - 5)*(i - 1)**2*(i + 2)/9
Let n be 9/(216/(-32)) - 19/(-3). Factor 45*h - 483 + 483 + n*h**2.
5*h*(h + 9)
Let r(k) = -4*k**5 + 9*k**4 - 8*k**3 - 20*k**2 + 53*k - 15. Let n(j) = -5*j**5 + 9*j**4 - 7*j**3 - 19*j**2 + 54*j - 14. Let s(o) = 5*n(o) - 6*r(o). Factor s(v).
-(v - 1)**3*(v + 2)*(v + 10)
Let f be (-8)/(-6) + (-16)/(-24). Factor -7*i**2 + f*i + 32 + 36 + 32 + 4*i**3 - 99.
(i - 1)**2*(4*i + 1)
Let m(y) = -6*y**5 - 2*y**4 + y**3 - 12*y**2 + 9. Let o(p) = -5*p**5 - p**4 + p**3 - 11*p**2 + 8. Let l(x) = -4*m(x) + 5*o(x). Find s such that l(s) = 0.
-1, 1, 2
Let 3/7*c**2 - 3/7*c**3 + 3/7*c - 3/7 = 0. Calculate c.
-1, 1
Let h(s) be the second derivative of -s**5/70 - s**4/42 + 2*s**3/7 - 76*s. Solve h(v) = 0 for v.
-3, 0, 2
Let 28/5*b**3 - 2/5*b**4 - 18*b + 12/5*b**2 - 2/5*b**5 + 54/5 = 0. What is b?
-3, 1, 3
Let w(m) = -m**2 + 11*m + 2. Suppose 2*n - 14 = -2*t, -1 = -2*t - 9. Let g be w(n). Let 23*r - 21*r + r**g + 1 + 5 - 5 = 0. What is r?
-1
Let b(u) be the first derivative of -u**5/48 + u**4/24 + u**3/24 + 7*u**2 - 8. Let s(v) be the second derivative of b(v). Factor s(h).
-(h - 1)*(5*h + 1)/4
Suppose 5*a = k + 17, 6*k - k = 3*a - 19. Suppose f = a*f - 6. Let -3*g**2 + g**5 - 4*g**3 + g**f - 2*g**2 + 3*g**2 = 0. Calculate g.
-1, 0, 2
Let v(n) = -4*n**2 - 34*n + 98. Let p(b) = -3*b**2 - 33*b + 98. Let z(k) = 6*p(k) - 5*v(k). Let z(q) = 0. Calculate q.
7
Let j(s) be the third derivative of -7*s**6/180 - 19*s**5/90 + s**4/6 + 132*s**2. Factor j(b).
-2*b*(b + 3)*(7*b - 2)/3
Let w be (-504)/(-7) + 2*-1. Factor -2*o**3 + 70 + 2*o**5 - w.
2*o**3*(o - 1)*(o + 1)
Let d(b) = b**3 - 6*b**2 + 4*b + 30. Let f be d(6). Factor -19*t**4 + 33*t**3 + f*t - 9*t**3 - 63*t**2 + 16*t**4.
-3*t*(t - 3)**2*(t - 2)
Let m(j) = -3*j**5 - 69*j**4 - 127*j**3 - 62*j**2 - 1. Let h(f) = -2*f**3 - f**2 + 1. Let o(n) = -h(n) - m(n). Suppose o(b) = 0. Calculate b.
-21, -1, 0
Suppose 2*t - 9 = -3. Factor 1 - 2*w**2 - t + 4.
-2*(w - 1)*(w + 1)
Let n(a) = 5*a + 17. Let r be n(-3). Let o(c) be the second derivative of -3/4*c**5 + 0*c**r + 0*c**3 + 1/2*c**4 + 0 + 9*c. Factor o(y).
-3*y**2*(5*y - 2)
Let m(y) be the third derivative of -1/10*y**5 + 0 + 0*y**4 + 0*y**3 + 8*y**2 + 0*y - 3/70*y**7 + 1/8*y**6. Factor m(o).
-3*o**2*(o - 1)*(3*o - 2)
Let g be 4 - (-6 + 312/21 + -6). Factor -g*i - 2/7*i**2 - 6/7.
-2*(i + 1)*(i + 3)/7
Let d = -26 - -106. Factor -189 + 15 - 83 - d*t - 5*t**2 - 63.
-5*(t + 8)**2
Factor 12*i**2 - 16*i**3 - 88*i**2 + 4*i**2 - 18*i**3 + 38*i**3.
4*i**2*(i - 18)
Let q(a) = 2*a**2 + 11*a + 7. Let i be q(-7). Factor -45*h**2 + 18*h**2 + 2*h**3 + 0*h**3 + i*h**2 + h**4.
h**2*(h + 1)**2
What is l in -83028 + 5*l**3 + 83028 - 115*l**2 = 0?
0, 23
Let s = 56485/2 + -28242. Find h, given that s - 3/4*h**4 - 5/4*h**3 + 5/4*h + 1/4*h**2 = 0.
-1, -2/3, 1
Let z = -6 + 8. Suppose 3*o = -2*s + 2*o - 1, 5*s - 35 = 5*o. Find w such that s*w**2 - 2 - 4*w**2 + 3*w**2 - z*w + 3*w = 0.
-2, 1
Let t be 5 - 4 - ((-22)/4 + 2). Find m such that t*m**2 - 3*m**4 - 9/2*m**3 + 0 + 3*m = 0.
-2, -1/2, 0, 1
Suppose 4*s = -5*o + 300, 4*o - 156 = -s - s. Solve s*c**2 + 8*c + 68*c**2 - 134*c**2 = 0 for c.
-2, 0
Let o be 13/(390/20) - 4/9. Suppose o*h + 0 - 2/9*h**3 - 2/9*h**2 + 2/9*h**4 = 0. Calculate h.
-1, 0, 1
Let p(k) be the second derivative of -k**5/130 - 8*k**4/39 - 25*k**3/39 + 42*k**2/13 + 3*k - 2. Factor p(z).
-2*(z - 1)*(z + 3)*(z + 14)/13
Let v be ((-6)/(-7))/((-15)/(-140)). Let s be (v/5)/((-12)/(-30)). Solve 4*r**2 - 7*r**4 - 2 + s*r**4 + r**4 = 0.
-1, 1
Let c(o) be the second derivative of -2*o**6/15 + 11*o**5/5 - 14*o**4 + 128*o**3/3 - 64*o**2 + 40*o. Determine p so that c(p) = 0.
1, 2, 4
Factor 15/2*j**3 - 11/4*j**2 + 0 - 3/2*j.
j*(3*j - 2)*(10*j + 3)/4
Let y(p) be the third derivative of p**8/168 + p**7/105 - p**6/60 - p**5/30 - 194*p**2. Let y(a) = 0. Calculate a.
-1, 0, 1
Let i be (9 - 8)/(-2 + (-14)/(-6)). Find w such that -9*w**2 + 3*w - 42*w**3 + 35*w**i - 8*w - 2*w**4 - 1 = 0.
-1, -1/2
Let v = 8 + -13. Let y(r) = -r**2 + 5 + 4*r + 0*r + 0*r. Let p(t) = 2*t**2 - 7*t - 9. Let i(g) = v*y(g) - 3*p(g). Let i(h) = 0. Calculate h.
-1, 2
Let h = 1657/6 - 547/2. Suppose 14/3*k**3 + 0 + 0*k - h*k**4 + 4/3*k**2 = 0. What is k?
-1/4, 0, 2
Let c be -7 - (1338/(-176) - (-14)/(-112)). Factor -8/11*d**4 + 2/11*d + 12/11*d**3 + 2/11*d**5 - c*d**2 + 0.
2*d*(d - 1)**4/11
Let i be (4/6)/(13/104*16). Suppose 0*s + 0 - s**2 + i*s**5 + s**4 - 1/3*s**3 = 0. What is s?
-3, -1, 0, 1
Let x be -10 + (1070/30 - 19). Find o such that -x*o + 16/3*o**2 + 0 = 0.
0, 5/4
Let v(q) be the first derivative of -1/2*q**2 - 2/5*q**5 - 1/6*q**6 + 4/3*q**3 - 11 - 2*q + 1/2*q**4. Find x, given that v(x) = 0.
-2, -1, 1
Let m = -21 + 26. Let d be (-14)/(-5) - m/(-25). Factor -7*u**2 - 10*u**4 - 8*u + 6*u**2 + 26*u**3 - d*u**2 - 4*u**2.
-2*u*(u - 2)*(u - 1)*(5*u + 2)
Let a = 253 + -161. Suppose 3*s - 2*n - 84 = -0*s, 0 = -4*s - 4*n + a. Solve -27*z - 12 - 11*z - 3*z**2 + s*z = 0 for z.
-2
Factor -39/7*j - 38/7 - 1/7*j**2.
-(j + 1)*(j + 38)/7
Let d(b) = 39*b**4 + 45*b**3 - 90*b**2 - 120*b - 8. Let f(v) = 14*v**4 + 15*v**3 - 30*v**2 - 40*v - 3. Let w(y) = -3*d(y) + 8*f(y). Let w(r) = 0. What is r?
-4, -1, 0, 2
Solve -2*z - 8/11 + 4/11*z**3 - 10/11*z**2 = 0.
-1, -1/2, 4
Let g be (8 - 2)/((-255)/(-34)). Determine k so that 14/5*k**3 - 22/5*k + 8/5*k**5 - 22/5*k**2 + 26/5*k**4 - g = 0.
-2, -1, -1/4, 1
Let f = 15 - 5. Let h(k) = -25*k**3 + 15*k**2 + 20*k. Let q(o) = 8*o**3 - 5*o**2 - 7*o. Let g(u) = f*q(u) + 3*h(u). Determine v so that g(v) = 0.
-1, 0, 2
Let t(f) = -3*f**4 + 38*f**3 - 14*f**2 - 576*f - 766. Let g(d) = -d**3 + d**2 - 1. Let z(o) = 2*g(o) + t(o). Solve z(m) = 0 for m.
-2, 8
Let f be (-4)/(-50) + (-4080)/(-2125). Suppose -3/4*z**f + 0 + 3/4*z = 0. Calculate z.
0, 1
Factor -21*f**3 + 3*f**4 + f**4 - 65*f**2 - 7*f**4 + 35*f**2.
-3*f**2*(f + 2)*(f + 5)
Factor 35*o**2 - 55/2*o**3 - 85/4*o + 5 + 10*o**4 - 5/4*o**5.
-5*(o - 4)*(o - 1)**4/4
Find i, given that 0 - 2/9*i**3 + 0*i + 2/9*i**5 - 2/9*i**4 + 2/9*i**2 = 0.
-1, 0, 1
Suppose -16/5 + 96/5*c - 44/5*c**2 = 0. What is c?
2/11, 2
Let i(k) = k**2 - 11*k - 3. Let z(l) be the second derivative of -l**4/4 + 23*l**3/6 + 5*l**2/2 + 20*l. Let t(c) = -14*i(c) - 6*z(c). Factor t(a).
4*(a + 1)*(a + 3)
Let t(k) be the second derivative of k**6/6 + 7*k**5/2 + 95*k**4/4 + 60*k**3 + k + 31. Determine n, given that t(n) = 0.
-8, -3, 0
Let o(s) be the second derivative of 2*s**6/15 + 16*s**5/5 + 64*s**4/3 + 198*s. Factor o(y).
4*y**2*(y + 8)**2
Suppose -4 - 4 = -k. Suppose -5*w + 2 = -k. Factor w*o**3 - 2*o**3 - o + o**3.
o*(o - 1)*(o + 1)
Let c(y) = 5*y**2 - 136*y + 51. Let p(z) = 3*z**2 - 68*z + 25. Let o(j) = 3*c(j) - 7*p(j). Solve o(m) = 0.
1/3, 11
Let v(g) be the first derivative of -g**3/10 + 2*g**2/5 - 414. Factor v(h).
-h*(3*h - 8)/10
Let s(p) = p**2 + 6*p + 2. Let g be s(-6). Factor 1/4*c**3 + 1/2 - 1/2*c**g - 1/4*c.
(c - 2)*(c - 1)*(c + 1)/4
Suppose 21*i = 17*i. Let p be 1 - -2 - (0 + i). Find z such that -5 + 3*z + p + z**3 - 4*z**2 + 2 = 0.
0, 1, 3
Let m(x) be the first derivative of 0*x**2 + 16/15*x**3 - 4/5*x**4 + 42 + 4/25*x**5 + 0*x. Factor m(k).
4*k**2*(k - 2)**2/5
Let -18*x**3 - 21*x**3 + 18*x**2 + 11*x**5 + 18*x**3 - 8*x**5 = 0. What is x?
-3, 0, 1, 2
Let t(l) = l**2 + 17*l + 15. Let s be t(-14). Let y = s + 29. Determine u, given that u - 9 + u**2 + y*u**2 + 0*u**2 + 5*u = 0.
-3, 1
Suppose d = -3*b, -2*b - 3*b = -2*d + 11. Suppose 7*f - 8 = d*f. Solve -4*c + 113 - 113 - f*c**2 = 0 for c.
-2, 0
Factor 77*j**2 + 6 - 32*j - 80*j**2 + 5.
-(j + 11)*(3*j - 1)
Let j(s) = -2*s**4 - s**3 + s**2. Let c(y) = 15*y**4 + 9*y**3 - 3*y**2. Let x(z) = c(z) + 3*j(z). Factor x(q).
3*q**3*(3*q + 2)
Let y be 62/22 + 10/55. Factor -y*o**2 - o**3 + 2 + 2*o - o + o**3 - o**3 + o**4.
(o - 2)*(o - 1)*(o + 1)**2
Let q = 57 - 54. Let p(u) = u**3 + 13*u**2 - 11*u + 9. Let x(f) = -6*f**3 - 66*f**2 + 54*f - 46. Let d(n) = q*x(n) + 16*p(n). Let d(b) = 0. What is b?
1, 3
Determine d so that -32/7 + 20/7*d**2 - 4/7*d**3 - 8/7*d = 0.
-1, 2, 4
Determine z, given that -65/3*z**4 + 5/3*z**5 - 75 - 670/3*z**2 + 215*z + 310/3*z**3 = 0.
