the second derivative of f**4/6 + 7*f**3/3 - 78*f**2 + 135*f. Solve g(n) = 0.
-13, 6
Let y(m) be the first derivative of -4*m**3/9 - 20*m**2/3 - 12*m - 335. Factor y(j).
-4*(j + 1)*(j + 9)/3
Let q = 839 - 836. Let 0 - 2/9*h**5 + 0*h**q + 4/9*h**4 + 2/9*h - 4/9*h**2 = 0. Calculate h.
-1, 0, 1
Let p(o) = o + 2. Let x be p(2). Let v = -21 + 26. Factor -2*i**2 + 0*i**2 - 2*i**2 + 4*i**v - 12*i**x + 12*i**3 + 0*i**5.
4*i**2*(i - 1)**3
Let j(k) be the second derivative of 21*k**5/80 - k**4/2 - 17*k**3/2 - 18*k**2 - 130*k + 2. What is c in j(c) = 0?
-2, -6/7, 4
Suppose -2*m - 3*i = 341, -688 = 4*m - 0*m + 4*i. Let u be (-1 - (1 - 4))/(m/(-800)). Suppose 32/7*y - 4/7*y**2 - u = 0. Calculate y.
4
Let i = -2 + -6. Let w = 12 + i. Suppose 9*a**3 + 0*a**3 - 24*a**2 - w + 9*a**3 - 22*a = 0. Calculate a.
-1/3, 2
Factor -2927*c**3 + 8*c**4 - 4*c**5 - 8*c**2 + 2927*c**3 + 4*c.
-4*c*(c - 1)**3*(c + 1)
Let d(j) be the first derivative of j**4/42 - 2*j**3/9 + 2*j**2/7 + 199. Factor d(a).
2*a*(a - 6)*(a - 1)/21
Suppose -79*a + 0*a = 0. Factor 3/7*k**4 + 3/7*k**2 - 6/7*k**3 + a + 0*k.
3*k**2*(k - 1)**2/7
Let q(y) = -7*y**5 - 9*y**4 + 27*y**3 - 17*y**2 - 2*y + 2. Let v(z) = -z**5 - 2*z**4 + z**3 - z**2 - z + 1. Let o(g) = -q(g) + 2*v(g). Factor o(f).
5*f**2*(f - 1)**2*(f + 3)
Suppose q - 20 = -4*q. Factor -962*z**3 - 50*z - 32*z**5 - 150*z**4 - 333*z**2 - 186*z**q - 87*z**2.
-2*z*(z + 5)**2*(4*z + 1)**2
Find m, given that 220*m - 6407*m**2 + 3342*m**2 + 3215*m**2 + 5*m**4 + 45*m**3 + 120 = 0.
-3, -2
Let c(b) be the second derivative of b**6/40 + 21*b**5/16 + 177*b**4/8 + 104*b**3 + 192*b**2 - 40*b - 3. Suppose c(s) = 0. Calculate s.
-16, -2, -1
Let j = 24981 - 24979. Solve -15/4*k**j + 3/4*k**3 + 0 + 9/4*k + 3/4*k**4 = 0.
-3, 0, 1
Let n be 1*-26*-1 + -1. Suppose 5*i + k = n, 0 = -3*i - 5*k - 5 + 20. Factor -16*a**2 + a**4 + 3*a**4 + 5*a**3 + a**i + 18*a**2.
a**2*(a + 1)**2*(a + 2)
Let x(m) = 3*m**2 + 1. Let i be x(-1). Factor -i*o + 175*o**2 - 178*o**2 - 2*o.
-3*o*(o + 2)
Let o(k) be the third derivative of -k**5/12 + 185*k**4/12 - 6845*k**3/6 - 17*k**2 + 3*k. Determine u, given that o(u) = 0.
37
What is c in -2/3 - 26/3*c + 28/3*c**2 = 0?
-1/14, 1
Suppose 6*h - 312 = 2*h. Suppose -2*m + 4*m = h. Determine c, given that 36*c**5 + 63*c**2 - m*c + 2*c**4 + 6 - 47*c**4 - 24*c**4 + 0*c**3 + 3*c**3 = 0.
-1, 1/4, 2/3, 1
Let k = 20 + -16. Suppose u + 4 = o, u - k*o = -u - 18. Factor 6*i + 1 - u - 12*i - 3*i**2.
-3*i*(i + 2)
Suppose -44*z = -22*z - 44. Let s = 2/411 - -542/1233. Suppose s*r - 2/9*r**z - 2/9 = 0. What is r?
1
Let z be (-44)/(-220) + (-9)/(-5)*1. What is x in 1/2*x**5 + 0*x**z - x**3 + 0 + 0*x**4 + 1/2*x = 0?
-1, 0, 1
Suppose -3*i + 2*k = -3*k + 1, 2*k = -i + 7. Factor c**i - c - 84*c**2 + 159*c**2 + c**4 - 76*c**2.
c*(c - 1)*(c + 1)**2
Let k = -124 + 129. Let c(g) be the third derivative of 1/160*g**6 + 0*g + 0 + 0*g**4 + k*g**2 - 1/80*g**5 + 0*g**3. Solve c(u) = 0.
0, 1
Let n(p) be the third derivative of p**7/70 - p**6/10 - p**5/2 + 7*p**4/2 - 15*p**3/2 - 35*p**2. Factor n(m).
3*(m - 5)*(m - 1)**2*(m + 3)
Let 113*l - 4*l**4 + 10*l**2 - 8 - 55*l - 54*l - l**5 - l**3 = 0. What is l?
-2, 1
Let s = -18900 - -207902/11. Let 4/11*x**3 + 0*x + s*x**5 - 6/11*x**4 + 0*x**2 + 0 = 0. What is x?
0, 1, 2
Let h = -23 + 26. Suppose -1 - 3 - 2*t - 2*t**3 - 2*t**4 - h*t + 6*t**2 + 7*t = 0. What is t?
-2, -1, 1
Let u(j) be the first derivative of j**4/5 + 6*j**3/5 + 4*j**2/5 + 144. Determine k, given that u(k) = 0.
-4, -1/2, 0
Let -1111*z**3 - 137*z - 522*z**4 + 19*z - 14 - 182*z - 906*z**2 + 40*z - 81*z**5 - 10 = 0. What is z?
-3, -2, -1, -2/9
Let j(a) = 3*a - 5. Let t be j(2). Let y(x) = 8*x**3 + x**2 + 2*x - 2. Let w be y(t). Let 145*l + 3*l**2 + 3*l**5 - 145*l + w*l**4 + 9*l**3 = 0. Calculate l.
-1, 0
Let g be (31/(-2604)*14)/(1/(-30)). Find p such that -11/3*p**2 - 4/3 - 6*p + 7/6*p**g + 5*p**4 + 29/6*p**3 = 0.
-2, -1, -2/7, 1
Let c = 9393/7 - 1341. Suppose c*t**2 + 4/7*t**4 - 10/7*t**3 - 2/7 + 2/7*t = 0. Calculate t.
-1/2, 1
Let z(n) be the second derivative of 1/18*n**4 + 0 - 9*n - 1/18*n**3 - 1/60*n**5 + 0*n**2. Determine y, given that z(y) = 0.
0, 1
Suppose 9/4 - 3/8*f**2 - 15/8*f = 0. What is f?
-6, 1
Let k(h) be the third derivative of -h**8/112 - h**7/7 - 3*h**6/5 - 11*h**5/10 - 7*h**4/8 + 27*h**2 + 3*h. Let k(a) = 0. Calculate a.
-7, -1, 0
Let k(x) = x + 15. Let y be k(-18). Let d(z) = z**4 - 9*z**3 - 19*z**2 - 15*z - 6. Let a(l) = l**4 - l**3 - l**2 + l. Let w(j) = y*d(j) + 6*a(j). Factor w(u).
3*(u + 1)**2*(u + 2)*(u + 3)
Let i = -93102 - -652916/7. Let y = 172 - i. Determine g so that -4/7*g - y*g**3 - 6/7*g**2 + 0 = 0.
-2, -1, 0
Let -132*h + 342*h**2 + 27/2*h**5 - 129*h**3 - 279/2*h**4 + 0 = 0. What is h?
-2, 0, 2/3, 11
Let x = 40875/32 - 5137/4. Let l = x - -1397/32. Find a, given that -231/4*a**3 - 3*a + 0 - 24*a**2 - l*a**4 = 0.
-1, -2/7, 0
Let -2/3*g**2 - 6 - 4*g = 0. What is g?
-3
Suppose 3 = -6*x + 9. Suppose 4*t**2 + 1 + 16*t - x + 4*t**3 - 24*t = 0. Calculate t.
-2, 0, 1
Let q(d) be the first derivative of d**6/360 - d**5/30 + d**4/8 - 2*d**3 + 18. Let a(h) be the third derivative of q(h). Solve a(l) = 0.
1, 3
Let w(g) be the first derivative of -2/3*g**3 + 0*g + 0*g**2 + 13 - 1/4*g**4 + 2/5*g**5 + 1/6*g**6. Factor w(b).
b**2*(b - 1)*(b + 1)*(b + 2)
Let w = 1610 - 1606. Let l(t) be the first derivative of 8/7*t**3 + 0*t + 33/28*t**4 - 6/7*t**2 + 9/35*t**5 - w. Solve l(h) = 0 for h.
-2, 0, 1/3
Suppose 0 = 5*y - 28 + 18. Suppose -a + 3 = -3*t + 2, -3*t - y = -2*a. Factor t - 3/4*o**2 + 3/2*o.
-3*o*(o - 2)/4
Let v(b) be the second derivative of 2*b**7/21 + 4*b**6/15 - b**5/5 - 2*b**4/3 - b + 65. Factor v(t).
4*t**2*(t - 1)*(t + 1)*(t + 2)
Let i(y) = -y**4 - y**3 + y**2 - y. Let v(h) = -6*h**4 + 18*h**3 + 218*h**2 + 494*h + 352. Let c(k) = 2*i(k) - v(k). Factor c(a).
4*(a - 11)*(a + 2)**3
Let k(p) be the third derivative of 0 - p**2 + 0*p - 1/6*p**4 - 1/60*p**5 + 0*p**3. Factor k(c).
-c*(c + 4)
Factor -392/13*w**2 - 2/13*w**4 + 0 + 56/13*w**3 + 0*w.
-2*w**2*(w - 14)**2/13
Let n(w) be the second derivative of 0*w**2 - 4/135*w**6 + 0 + 1/189*w**7 - 1/27*w**4 + 0*w**3 - 5*w + 1/18*w**5. Factor n(a).
2*a**2*(a - 2)*(a - 1)**2/9
Let a(i) be the first derivative of -i**5/10 + i**4/6 + 2*i**3/3 + 3*i - 25. Let j(q) be the first derivative of a(q). Factor j(z).
-2*z*(z - 2)*(z + 1)
Let m be 2/6 + 1/((-42)/(-4)). Let a be 18/(-7)*(-6)/12. Find o such that -a*o - m - 6/7*o**2 = 0.
-1, -1/2
Suppose 5*q = -3*w, -2*w + 7*w + 5*q - 10 = 0. Factor 2/5*t**w + 0 - 2/5*t + 4/5*t**4 - 4/5*t**2 + 0*t**3.
2*t*(t - 1)*(t + 1)**3/5
Let j(b) be the third derivative of 0*b + 1/15*b**5 - 19*b**2 - 2/3*b**4 + 0*b**3 + 0. Factor j(u).
4*u*(u - 4)
Suppose 5*t + 2*k - 23 = 0, 9*t - 8*t + k = 7. Find d such that 1/3*d**4 + 0*d**t + 0 - 1/6*d**5 + 1/6*d - 1/3*d**2 = 0.
-1, 0, 1
Suppose -4 = -2*g - u, 0*u + 2 = -2*g - 4*u. Suppose 0 = 7*d - g - 11. Determine o, given that o + 3/2 - 1/2*o**d = 0.
-1, 3
Suppose -10*g - 3 + 3 = 0. Suppose 3*h**5 + g*h**5 + 66*h**4 - 12*h**2 - 57*h**4 = 0. Calculate h.
-2, 0, 1
Let r(d) = -37*d**4 + 192*d**3 - 432*d**2 + 384*d - 103. Let q(i) = 19*i**4 - 96*i**3 + 216*i**2 - 192*i + 52. Let g(j) = -7*q(j) - 4*r(j). Factor g(p).
3*(p - 2)**3*(5*p - 2)
Let q(b) be the third derivative of b**9/20160 - b**8/1680 + b**7/420 - 17*b**5/60 - 13*b**2. Let u(d) be the third derivative of q(d). Factor u(l).
3*l*(l - 2)**2
Let b(o) be the third derivative of o**5/240 - 37*o**4/12 + 2738*o**3/3 - 7*o**2 - 17*o. Factor b(k).
(k - 148)**2/4
Suppose 5*l = 13*l. Let d(s) be the second derivative of -1/2*s**4 + 0*s**2 - 4*s + l - 2/3*s**3 + 0*s**5 + 1/15*s**6. What is g in d(g) = 0?
-1, 0, 2
Let j = 12 + -10. Factor 8*w**j - 128 + 6*w**3 - w**4 - w**4 - 24*w + 128.
-2*w*(w - 3)*(w - 2)*(w + 2)
Let k = -516 + 2581/5. Factor -2/5*x + k*x**3 - 1/5*x**2 + 0.
x*(x - 2)*(x + 1)/5
Let k = -56 - -22. Let i(g) = 42*g**2 + 121*g + 36. Let x(y) = 7*y**2 + 20*y + 6. Let n(h) = k*x(h) + 6*i(h). Suppose n(d) = 0. Calculate d.
-3, -2/7
Let t(z) be the first derivative of -14*z**6/3 - 267*z**5/5 - 127*z**4 - 109*z**3 - 29*z**2 + 85. What is h in t(h) = 0?
-29/4, -1, -2/7, 0
Let g = 7694/5 - 1538. Let j(b) be the second derivative of -1/15*b**4 - 2/75*b**6 + 0 + 11*b - 2/5*b**3 + g*b*