 h**6/4 + 9*h**5/10 - 15*h**4/8 - 3*h**3/2 + 3*h**2 - 24. Find f such that v(f) = 0.
-4, -1, 0, 1
Factor -9/7*h**4 + 6/7*h**2 + 6/7*h**3 - 9/7*h + 3/7 + 3/7*h**5.
3*(h - 1)**4*(h + 1)/7
Let c(b) = -6*b**4 - 6*b**3 - 10*b**2 - 5. Let n(x) = -5*x**4 - 7*x**3 - 10*x**2 - 4. Let o(m) = 4*c(m) - 5*n(m). Solve o(s) = 0.
-10, -1, 0
Find b such that -23*b**2 - 198*b**2 + 13045*b - 5*b**3 - 13300*b - 39*b**2 = 0.
-51, -1, 0
Determine a so that 3/7*a**4 + 27/7*a**3 + 0 + 6*a**2 + 0*a = 0.
-7, -2, 0
Let f = 109 + -61. Let -3*s**2 - 22*s + f*s - 35*s = 0. Calculate s.
-3, 0
Let y be (-6)/14*98/140*-1. Factor y*t + 0 + 1/10*t**3 + 2/5*t**2.
t*(t + 1)*(t + 3)/10
Factor -148 + 296*u**2 - 745*u - 148 + 747*u - 2*u**3.
-2*(u - 148)*(u - 1)*(u + 1)
Factor 1/5*p**3 + 19/5*p - 11/5*p**2 - 9/5.
(p - 9)*(p - 1)**2/5
Let t(n) be the second derivative of -n**6/60 + n**4/12 - n**2/4 + 32*n + 2. Factor t(w).
-(w - 1)**2*(w + 1)**2/2
Let o(a) be the first derivative of 2*a**6/105 - a**5/35 - a**4/21 + 2*a**3/21 + 24*a - 36. Let j(v) be the first derivative of o(v). Solve j(b) = 0.
-1, 0, 1
Suppose h + 7*h - 88 = 0. Suppose 3*o - 5 = r + 5, 0 = -3*o + 2*r + h. Let -8/3*i**2 - 2/3*i**o + 0 - 8/3*i = 0. What is i?
-2, 0
Suppose 0 = 5*n - n + 4*q, 3*n - 5*q = 24. Let w(o) be the second derivative of 1/24*o**4 + 0 - o**2 + 0*o**n - 2*o. Find h, given that w(h) = 0.
-2, 2
Let u = 430/609 + -8/203. Let u*x**2 + 2/3*x**3 + 0 + 0*x = 0. Calculate x.
-1, 0
Let m(l) = l**3 - l - 1. Let g(o) be the second derivative of o**5/4 + 3*o**4/4 - 7*o**3/2 - 31*o**2/2 - 4*o. Let t(j) = g(j) - 6*m(j). Factor t(u).
-(u - 5)**2*(u + 1)
Suppose -419*u - 363 + 1620 = 0. Factor -1/5 + 0*v**u + 2/5*v**2 + 0*v - 1/5*v**4.
-(v - 1)**2*(v + 1)**2/5
Let c(y) be the first derivative of 5 - 2/3*y**3 + 4*y**2 - 1/2*y**4 + 8*y. Factor c(o).
-2*(o - 2)*(o + 1)*(o + 2)
Let d(c) = c**4 - 15*c**3 + 58*c**2 - 114*c + 66. Let m = -14 - -13. Let s(v) = -v**3 - v**2 - v + 1. Let o(b) = m*d(b) + 2*s(b). Factor o(i).
-(i - 4)**3*(i - 1)
Suppose -113*x**4 + 57*x**4 + 51*x**4 + 5*x**2 = 0. What is x?
-1, 0, 1
Let z(j) be the first derivative of j**4/42 - j**2 - 40*j/21 + 351. Factor z(t).
2*(t - 5)*(t + 1)*(t + 4)/21
Let f(c) be the second derivative of -c**6/105 - 26*c**5/35 - 311*c**4/21 + 468*c**3/7 - 729*c**2/7 + 831*c. Factor f(b).
-2*(b - 1)**2*(b + 27)**2/7
Let y(c) = 2*c**2 - c. Let l(k) = 8*k**2 + 18*k + 108. Let d(i) = l(i) - 6*y(i). What is f in d(f) = 0?
-3, 9
Determine y so that 53/3*y**3 + 0 - 28/3*y**2 + 4/3*y - 38/3*y**4 + 3*y**5 = 0.
0, 2/9, 1, 2
Let k(r) be the first derivative of -4*r**6/105 - 3*r**5/35 + 2*r**3/21 + 25*r - 16. Let o(s) be the first derivative of k(s). Factor o(y).
-4*y*(y + 1)**2*(2*y - 1)/7
Factor 2 - 1/12*w**3 + 29/12*w + 1/3*w**2.
-(w - 8)*(w + 1)*(w + 3)/12
Suppose 17/8*a + 15/4 + 1/8*a**2 = 0. Calculate a.
-15, -2
Let b(s) be the second derivative of -s**5/5 - 4*s**4/3 + 22*s**3/3 - 12*s**2 - 4*s - 10. Determine h so that b(h) = 0.
-6, 1
Suppose 17 - 2 = 5*v. Determine h so that -54*h**2 - 8*h**4 + h**5 - 2*h - 12*h**v + 46*h**2 - 3*h**5 = 0.
-1, 0
Let a(p) be the third derivative of -p**7/2240 - p**6/360 + p**5/192 + p**4/32 + 3*p**3/2 - 11*p**2. Let w(c) be the first derivative of a(c). Factor w(i).
-(i - 1)*(i + 3)*(3*i + 2)/8
Let a be ((-11)/(-22))/((-9)/(-4)). Let r(o) be the first derivative of 2/9*o**2 - 2/27*o**3 + 4 - a*o. Factor r(f).
-2*(f - 1)**2/9
Let n(x) be the first derivative of 2*x**3 + 45*x**2/4 - 6*x + 14. Determine y so that n(y) = 0.
-4, 1/4
What is k in -52*k + 5*k**2 + 24 - 88*k + 49 + 62 = 0?
1, 27
Let k(v) be the first derivative of 2*v**5/25 + v**4/5 - 2*v**3/5 + 10. Factor k(o).
2*o**2*(o - 1)*(o + 3)/5
Let c(v) be the second derivative of -3*v**5/4 - 25*v**4/12 + 9*v - 5. Factor c(h).
-5*h**2*(3*h + 5)
Let t(f) be the third derivative of -f**6/1620 + f**5/270 - f**4/108 - f**3/3 + 8*f**2. Let z(k) be the first derivative of t(k). Factor z(i).
-2*(i - 1)**2/9
Let o(c) be the first derivative of 7*c**5/15 + 2*c**4 - 8*c**3/3 - 3*c**2 - 14. Let a(j) be the second derivative of o(j). Find q such that a(q) = 0.
-2, 2/7
Determine x so that -8*x**2 - x**5 + 20 + 3*x**5 - 2*x**2 - 28*x**3 + 26*x - 2*x**2 - 4*x**2 - 4*x**4 = 0.
-2, -1, 1, 5
Suppose 10/7*x - 6/7 - 2/7*x**3 - 2/7*x**2 = 0. What is x?
-3, 1
Let w = 97 - 138. Let h = w + 45. Solve 4/7*f - 8/7*f**3 + 0 - 2/7*f**2 + 6/7*f**h = 0.
-2/3, 0, 1
Factor -1730*k**2 - 140*k - 1720*k**2 + 3454*k**2 + 136.
4*(k - 34)*(k - 1)
Let z be 2/(0 - 2/(-11)). Suppose z = 2*h - a - 1, 4*a = -h - 12. Determine k, given that 0 + 1/2*k**2 - 1/2*k**h - 1/2*k**3 + 1/2*k = 0.
-1, 0, 1
Let t(a) be the second derivative of 4*a**7/21 - 6*a**6/5 + 11*a**5/5 + a**4 - 26*a**3/3 + 12*a**2 - 200*a. Let t(w) = 0. Calculate w.
-1, 1, 3/2, 2
Let n(w) be the second derivative of w**3/2 + w**2/2 + 2*w. Let g be n(5). Solve 10*f**2 + 2 - 10 - g*f + 0 = 0 for f.
-2/5, 2
Let m(r) be the first derivative of -r**4/8 + 97*r**3/6 - 2303*r**2/4 - 2401*r/2 + 235. Factor m(p).
-(p - 49)**2*(p + 1)/2
Let v = 6 - -1. Suppose -v - 3 = -5*q. Determine n, given that 8*n + 10*n**q - 3 + 5 - 4 = 0.
-1, 1/5
Let q(s) be the third derivative of 0 + 1/20*s**5 + 1/4*s**4 + 16*s**2 + 0*s + 1/2*s**3. What is p in q(p) = 0?
-1
Let i(c) be the first derivative of -c**7/525 - c**6/150 + c**5/150 + c**4/30 + c**2 - 8. Let q(a) be the second derivative of i(a). Find f such that q(f) = 0.
-2, -1, 0, 1
Solve 4/7*d**5 + 41/7*d**4 + 0*d**2 + 0 + 0*d + 10/7*d**3 = 0 for d.
-10, -1/4, 0
Suppose c = 3*c - 8, 3*a - 4*c = -1. Factor 74*n - 135 + 28*n - 45*n**2 + 33*n + a*n**3.
5*(n - 3)**3
Let i(j) = -j**3 - 5*j**2 + 113*j + 567. Let z be i(-5). Factor -11/2*p**z + 5/4*p**3 + 23/4*p - 3/2.
(p - 3)*(p - 1)*(5*p - 2)/4
Factor 15*h**3 - 240 + 455*h + 301*h + 288*h**2 + 0*h**3 + 6*h**3 + 0*h**3.
3*(h + 4)*(h + 10)*(7*h - 2)
Suppose -3*n + 21 = 3*p, 2*p + 5 = p + 5*n. Let 0*z + p*z**3 - 52*z**2 - 5*z + 67*z**2 - 15 = 0. Calculate z.
-3, -1, 1
Suppose -5*q + 27*l - 23*l = -36, -2*l = 3*q - 4. Factor 0*p**2 - q*p**3 + 0 + 2/5*p**4 + 0*p.
2*p**3*(p - 10)/5
Factor 4*r**5 + 202*r**4 + 4913/4 + 71723/4*r**2 + 13465/4*r**3 - 38437/4*r.
(r + 17)**3*(4*r - 1)**2/4
Factor -8*a - 12*a**2 + 6*a**3 + 4*a**4 - 16*a - a**4.
3*a*(a - 2)*(a + 2)**2
Find d such that 44944/5 + 4/5*d**2 - 848/5*d = 0.
106
Let a(p) be the third derivative of p**5/20 - 29*p**4/4 - 59*p**3/2 - 189*p**2. Determine r so that a(r) = 0.
-1, 59
Let k be (-36)/8*4/(-6). Suppose -3 = -3*v - k*x, x = -5*v + 2*x + 23. Factor 4/7*j**2 - 10/7*j**5 - 18/7*j**3 + 0*j + 24/7*j**v + 0.
-2*j**2*(j - 1)**2*(5*j - 2)/7
Let y(j) be the second derivative of j**7/126 + j**6/6 + 3*j**5/2 + 15*j**4/2 + 45*j**3/2 + 81*j**2/2 + 81*j. Suppose y(d) = 0. Calculate d.
-3
Let c(w) be the third derivative of -w**8/420 + w**7/210 - 2*w**3/3 - 13*w**2. Let h(k) be the first derivative of c(k). Factor h(n).
-4*n**3*(n - 1)
Find h such that 2*h**5 + 308/3*h**4 + 3176/3*h**3 - 12544/3 + 30464/3*h - 6576*h**2 = 0.
-28, 2/3, 2
Let i = -27 - -31. Let n be -9*4/4 + i. Let j(f) = -9*f**3 - 8*f**2 - 2*f + 9. Let o(y) = -8*y**3 - 8*y**2 - y + 9. Let z(w) = n*o(w) + 4*j(w). Factor z(q).
(q - 1)*(2*q + 3)**2
Let k(q) = -q**4 + q**3 - 2*q. Let y(v) = -6*v**4 + 5*v**3 - v**2 - 12*v. Let p(r) = -14*k(r) + 2*y(r). Factor p(n).
2*n*(n - 2)*(n - 1)*(n + 1)
Let w(m) = -13*m**3 - m**2 + 43*m + 13. Let h(k) = 6*k**3 - 22*k - 8. Let g(y) = -9*h(y) - 4*w(y). Let g(c) = 0. Calculate c.
-2, -1, 5
Let y(o) be the third derivative of -o**5/60 - 3*o**4/8 + 11*o**3/3 + 49*o**2 - 1. Factor y(g).
-(g - 2)*(g + 11)
Let m be (-24)/5 + (-2)/10 + 11. Let q(y) be the second derivative of -3/100*y**5 - y + 0*y**3 + 0*y**2 + 0*y**4 + 0 + 1/50*y**m. Find w such that q(w) = 0.
0, 1
Let d = -3713 + 3716. Factor 18*n + 75/4*n**d + 3 + 135/4*n**2.
3*(n + 1)*(5*n + 2)**2/4
Let z be 10*(9/(-2) + 5). Suppose 0 = 4*m - m - 9. Let 8*s**z - s**2 - 3*s**2 - 5*s**m + 4*s - 12*s**3 + 4*s**4 + 5*s**3 = 0. Calculate s.
-1, 0, 1/2, 1
Let g(k) be the second derivative of k**6/255 + k**5/170 - k**4/34 - 5*k**3/51 - 2*k**2/17 + 65*k. Solve g(l) = 0.
-1, 2
Let l = 183/2 - 91. Factor 0*v**2 + 1/4 - 1/4*v**4 - 1/2*v**3 + l*v.
-(v - 1)*(v + 1)**3/4
Let l(m) = -m. Let s be l(-3). Suppose -4*u + s*u - 3*f