hird derivative of -y**7/1470 + y**6/168 - 2*y**5/105 + y**4/42 - 3*y**2. Suppose m(s) = 0. What is s?
0, 1, 2
Suppose -3*g - 2*g = -2*y - 8, 2*g = 5*y - 1. Factor -6/5*n**4 - g*n**3 + 2/5*n - 2/5*n**2 + 0.
-2*n*(n + 1)**2*(3*n - 1)/5
Let s(m) be the first derivative of -11*m**6/2 + 39*m**5/5 - 3*m**4/2 - 30. Let s(g) = 0. Calculate g.
0, 2/11, 1
Suppose -2*s + 8 + 7 = 5*y, 0 = -4*s - 3*y + 9. Factor g**3 + g**2 - 1 + s*g - g + 0.
(g - 1)*(g + 1)**2
Let w(k) be the second derivative of 0*k**2 + 0*k**3 - 1/15*k**6 + 0*k**4 + 1/5*k**5 + 0 + 3*k. Factor w(x).
-2*x**3*(x - 2)
Suppose 326*x + 668*x - 126*x**2 + 859*x - 8232 - 89*x + 3*x**3 = 0. What is x?
14
Let m be ((-3)/(-2))/((-9)/(-12)). Factor -5*z**3 + 2*z**2 + 4*z**3 - 2*z**m + z.
-z*(z - 1)*(z + 1)
Let x(j) = -28*j - 60. Let t(o) = o**2 + 85*o + 181. Let d(a) = 4*t(a) + 11*x(a). Factor d(m).
4*(m + 4)**2
Let o = -18 + 22. Let s(t) be the third derivative of 0 - t**2 - 1/15*t**3 - 1/150*t**5 + 1/30*t**o + 0*t. Solve s(b) = 0 for b.
1
Let x(b) be the first derivative of -b**3/18 + b**2/12 - 6. Factor x(o).
-o*(o - 1)/6
Factor 0*x + 0*x**2 - 3/7*x**3 + 0.
-3*x**3/7
Let o = -17 + 7. Let z be o/(-6) + (-2)/(-6). Let 0*i + 14/3*i**5 + 5/2*i**3 - 6*i**4 + 0 - 1/3*i**z = 0. Calculate i.
0, 2/7, 1/2
Let l(u) be the third derivative of -u**6/420 + u**4/84 - 9*u**2. Factor l(a).
-2*a*(a - 1)*(a + 1)/7
Let l(j) be the third derivative of j**6/300 + 2*j**5/75 + j**4/15 - 9*j**2. Let l(s) = 0. What is s?
-2, 0
Let y(q) = -2*q**2 + 3*q + 13. Let v be y(3). Let -2/3*s**2 + 2/9*s**v - 4/9*s + 0 + 0*s**3 = 0. Calculate s.
-1, 0, 2
Let w(c) be the third derivative of c**5/15 + 17*c**4/3 + 578*c**3/3 - 6*c**2 - 7. Suppose w(g) = 0. Calculate g.
-17
Let o = -7 + 11. Let z be 1/o + 4/(-16). Find y, given that 0 + z*y + 1/2*y**4 + 1/2*y**5 + 0*y**3 + 0*y**2 = 0.
-1, 0
Suppose -2*n + s + 23 = -6*n, 4*s = -4*n - 32. Let l be (-10)/(-15) + n/12. Determine r so that -1/2*r**3 - l*r**4 + 0*r**2 + 1/2*r + 1/4 = 0.
-1, 1
Let u(x) be the second derivative of -27*x**5/80 - 3*x**4/16 + x**3 + 3*x**2/2 - 2*x. Suppose u(w) = 0. What is w?
-2/3, 1
Suppose -4*c + 4*n = 0, 0 = -2*c + 4*c + 2*n - 8. Determine o so that 0*o**c + 4/5*o - 4/5*o**3 - 2/5 + 2/5*o**4 = 0.
-1, 1
Suppose 5*d - 10 = 4*d. Factor -2*o + 4*o**2 + d*o**4 - 3*o**3 + 2*o - 11*o**3.
2*o**2*(o - 1)*(5*o - 2)
Let x = -7/95 + 9/19. Determine i, given that -x*i**5 - 4/5*i**4 + 4/5*i**2 + 2/5*i**3 + 0 + 0*i = 0.
-2, -1, 0, 1
Let a(s) be the second derivative of -1/3*s**3 + 0*s**2 - 1/24*s**4 - s + 0 - 1/80*s**5 - 1/720*s**6. Let w(j) be the second derivative of a(j). Factor w(n).
-(n + 1)*(n + 2)/2
Let c(z) be the third derivative of z**10/17280 + z**9/12096 - z**8/13440 + z**4/4 + 2*z**2. Let j(b) be the second derivative of c(b). Factor j(g).
g**3*(g + 1)*(7*g - 2)/4
Let g be 7 + (-193)/30 + 4/(-10). Let y(a) be the third derivative of -1/12*a**4 - 1/60*a**5 + 0 + 0*a - g*a**3 + 4*a**2. Factor y(h).
-(h + 1)**2
Let h(t) = 5*t**3 - t**2 - 3*t + 3. Let v be h(2). Suppose -9 = 3*w - v. Solve 2*u + 10 - 14*u**2 - w + 2*u + 8*u**3 = 0.
-1/4, 1
Factor 2*z**2 - 702*z - z**2 + 697*z + 4.
(z - 4)*(z - 1)
Let m(z) = -3*z**3 + 4*z**2 - 3*z + 2. Let y(c) = -12*c**3 + 15*c**2 - 12*c + 9. Let a(t) = -9*m(t) + 2*y(t). Determine j, given that a(j) = 0.
0, 1
Let z(d) be the third derivative of -1/15*d**5 + 2*d**2 - 2/15*d**3 + 0*d + 1/100*d**6 + 0 + 3/20*d**4. Factor z(m).
2*(m - 2)*(m - 1)*(3*m - 1)/5
Suppose -3*o = o. Suppose o*b = -2*b + 5*f - 7, 2*f + 6 = 3*b. Factor 5*y**4 + 4*y**4 - 4*y**3 - 9*y**b + 2*y + 2*y**5.
2*y*(y - 1)**2*(y + 1)**2
Factor 43*r - 39*r + r**2 + 3*r**2.
4*r*(r + 1)
Let l = 1109/3 + -369. Factor 2/9*z**2 + 2/9*z**5 + 2/3*z**3 + l*z**4 + 0 + 0*z.
2*z**2*(z + 1)**3/9
What is c in -1/5*c**2 + 0 + 1/5*c = 0?
0, 1
Let h = -22670222/235 + 96470. Let z = h - 8/47. Suppose -2/5*o**2 - 2/5*o + z = 0. What is o?
-2, 1
Let o(b) be the third derivative of -b**6/300 + b**5/75 + 4*b**2. Determine k, given that o(k) = 0.
0, 2
Let n = -2779/9 + 309. Factor -4/9*b - 2/9*b**2 - n.
-2*(b + 1)**2/9
Let i(z) = -z + 14. Let s be i(9). Factor 42*r**4 + 175*r**s - 138*r**4 + 3*r**2 + 273*r**5 + 5*r**2 - 36*r**3.
4*r**2*(4*r - 1)**2*(7*r + 2)
Let c(b) be the second derivative of -b**4/3 + 4*b. Let c(m) = 0. Calculate m.
0
Let v be 119/14 + 2/4. Factor 4*c**3 - 2*c**5 - 5 - v*c**2 + 3 + 13*c**2 - 2*c**4 - 2*c.
-2*(c - 1)**2*(c + 1)**3
Factor -750*u - 160*u**3 + 625/2 + 600*u**2.
-5*(4*u - 5)**3/2
Let u(y) be the second derivative of y**5/150 - y**4/60 + y**2 - 2*y. Let o(l) be the first derivative of u(l). Determine z, given that o(z) = 0.
0, 1
Let y(q) = q**2 + 5*q + 7. Let n be y(-5). Let d be n/10 - (-1)/(-2). Factor 0*t**2 + 1/5*t**3 - d*t + 0.
t*(t - 1)*(t + 1)/5
Let v be ((-3)/(-18))/(2/4). Let n = -245/3 - -83. What is s in -5/3*s**2 + v - s + s**3 + n*s**4 = 0?
-1, 1/4, 1
Let g(z) be the third derivative of -z**8/336 - z**7/525 + z**6/120 + z**5/150 + 7*z**2. Solve g(f) = 0 for f.
-1, -2/5, 0, 1
Let b = -2784/5 - -560. Factor -36*x**4 + 96/5*x**3 + 0 + 20*x**5 - b*x**2 + 0*x.
4*x**2*(x - 1)*(5*x - 2)**2/5
Let i be (-6)/(-8) - 6/(-24). Let k be (i/(-12))/((-5)/20). Factor 0*q + k*q**2 + 0.
q**2/3
Let f be (-50)/(-72) - 8/12. Let y(w) be the second derivative of -1/9*w**3 - 1/6*w**2 - f*w**4 + 0 - 2*w. Factor y(v).
-(v + 1)**2/3
Factor 8*v**3 - 2*v + 2*v**2 - v**2 + 5*v**4 + 0*v**2.
v*(v + 1)**2*(5*v - 2)
Let b = 102 - 98. Let h(t) be the second derivative of b*t + 0 - 4/7*t**2 - 1/42*t**4 - 4/21*t**3. Suppose h(d) = 0. Calculate d.
-2
Let r = -48/5 + 154/15. Let m = 11/2 + -29/6. Solve 0*y**2 + 0*y + 0 + m*y**5 - r*y**3 + 0*y**4 = 0 for y.
-1, 0, 1
Let s(u) be the first derivative of 9*u**5/20 - 3*u**4/2 + 2*u**3 + 2*u**2 + 3. Let k(z) be the second derivative of s(z). Let k(x) = 0. What is x?
2/3
Let q(b) be the second derivative of 1/14*b**4 - 2/21*b**3 + 0 - 4*b - 1/70*b**5 + 0*b**2. Solve q(u) = 0.
0, 1, 2
Let x = -1 + 13. Let m be ((-2)/x)/((-2)/8). Factor 0 - 2/3*t**2 + m*t.
-2*t*(t - 1)/3
Suppose 0 = 3*q + 5*j + 6, 18 = -3*q + 4*q - 5*j. Let v = 5 - q. Let -1 + 2*u + v + u**2 + 0*u**2 = 0. Calculate u.
-1
Suppose 2*c - 3 = -c. Let j be c - (1 + (-4 - 0)). What is y in 1 + 2*y**j - 1 - y**5 - 2*y**2 + y + 0*y**5 = 0?
-1, 0, 1
Let b(k) = k**5 - k**4 + k**3 - k**2 - k + 1. Let a(n) = -16*n**5 + 12*n**4 + 8*n**3 + 2*n - 6. Let t(h) = -a(h) - 6*b(h). Suppose t(m) = 0. What is m?
-1, -2/5, 0, 1
Suppose 3*i = 0, 3*s = -2*i - i. Factor 0 + 2/5*t**4 + s*t**3 - 2/5*t**2 + 1/5*t - 1/5*t**5.
-t*(t - 1)**3*(t + 1)/5
Suppose -a - 3*j + 7 = 4*a, 2*a = 3*j + 7. Suppose -a*k - 5*x = -3*x, -30 = -3*k + 3*x. Find z, given that -z - z**3 - 3*z**3 + 0*z**3 + k*z**3 = 0.
-1, 0, 1
Suppose -15*a + 106 = -13*a. Suppose 0*q**3 + 6*q**2 - 6*q**3 + 2*q**3 + 51*q - a*q = 0. Calculate q.
0, 1/2, 1
Suppose -5*h = -2*a - 4, 3*h - 11 + 17 = 4*a. Find i such that -i - 1/3 - i**2 - 1/3*i**a = 0.
-1
Let j = 647/4 - 161. Let a(f) = 3*f**3 + 1. Let i be a(1). Factor j*n**2 + 5/4*n**3 + 1/4*n**i - 9/4*n + 0.
n*(n - 1)*(n + 3)**2/4
Let j = -1539/2 - -771. Factor -13/6*b**3 + 0 - j*b**5 + 1/3*b**2 + 10/3*b**4 + 0*b.
-b**2*(b - 1)**2*(9*b - 2)/6
Let a = -17/525 - -2/25. Let p(y) be the first derivative of 1 + 0*y**2 + 0*y + 0*y**5 - a*y**6 + 0*y**4 + 0*y**3. Factor p(t).
-2*t**5/7
Let r(d) = d**4 - d**3 - d**2 + d + 1. Let p(s) = -5*s**4 + 4*s**3 + 5*s**2 - 4*s - 6. Let y(c) = p(c) + 6*r(c). Factor y(t).
t*(t - 2)*(t - 1)*(t + 1)
Let x(d) = -d**3 + d**2 + d. Let i(a) = -4*a**2 - 12*a - 7. Let c(s) = -4*i(s) + 4*x(s). Suppose c(k) = 0. Calculate k.
-1, 7
Suppose 4*y - 1 = 3, 3*a - 17 = -5*y. Let u be 64/40 - a/(-10). Factor -1/3*z**4 + 0 + 0*z - 1/3*z**u + 2/3*z**3.
-z**2*(z - 1)**2/3
Suppose -3*j = j - 8. Suppose -x + 10 = x, j*v - 15 = -x. Solve 5*a**4 - 8*a**5 + 10*a**v + a**3 + a**3 - 1 - 4*a**2 - 4*a = 0.
-1, -1/2, 1
Let s = 60 - 60. Let z(t) be the first derivative of -1/12*t**3 + s*t - 1/20*t**5 + 3 - 1/8*t**4 + 0*t**2. Factor z(r).
-r**2*(r + 1)**2/4
Let o be 81/9 + (-165)/21. Factor 8/7 + o*h + 2/7*h**2.
2*(h + 2)**2/7
Let k = 124 - 124. Let x(h) be the third derivative of k*h + 0*h**3 + 4*h**2 + 0 - 3/70*h**7 + 1/60*h**6 + 0*h**5 + 1/48*h**8 + 0*h**4. Factor x(c).
c**3*(c - 1)*(7*c - 2)
Let a