*t**3 - 24*t**4 - m*t**2 + 7*t**2 + 16*t + 36*t**5 + 20*t**3 - 110*t**3 = 0.
-1, -2/3, 0, 1/3, 2
Suppose 17*a + 12 + 10*a**2 - 4*a**3 + 10 + 5*a**3 - 14 = 0. What is a?
-8, -1
Let f(x) be the first derivative of -2*x**4/9 + 20*x**3/27 + 2*x**2/3 - 62. Find c, given that f(c) = 0.
-1/2, 0, 3
Let i(d) be the first derivative of -1/4*d**4 + 1/2*d**2 + 2*d - 2/3*d**3 - 2. Let i(k) = 0. Calculate k.
-2, -1, 1
Let t(f) be the first derivative of -f**6/18 + 2*f**5/15 + f**4/4 - 4*f**3/9 - 2*f**2/3 + 31. Find k, given that t(k) = 0.
-1, 0, 2
Factor 6/13 + 2/13*r**2 - 10/13*r + 2/13*r**3.
2*(r - 1)**2*(r + 3)/13
Let s(q) be the first derivative of q**4/2 + 20*q**3/3 - 11*q**2 + 63. Factor s(f).
2*f*(f - 1)*(f + 11)
Let h(k) = -k**2 - k + 1. Let s(p) = -p**4 - 3*p**3 - 6*p**2 - 4*p + 4. Let v be 10*(4 + 6/(-3)). Let m(u) = v*h(u) - 5*s(u). What is f in m(f) = 0?
-2, -1, 0
Let y(i) be the third derivative of -i**6/140 - 29*i**5/210 + i**4/7 + 20*i**3/21 + 4*i**2 + 4*i. Let y(u) = 0. What is u?
-10, -2/3, 1
Let c(q) be the first derivative of -q**6/36 + q**5/15 + 7*q**4/12 - 4*q**3/3 - 15*q**2/4 + 9*q - 321. Find b such that c(b) = 0.
-3, -2, 1, 3
Let i(r) be the second derivative of -r**6/480 + r**5/120 - r**4/96 + 5*r**2/2 - 7*r. Let l(v) be the first derivative of i(v). Suppose l(m) = 0. What is m?
0, 1
Let m(q) be the second derivative of -q**7/27 - 23*q**6/135 - 11*q**5/45 + q**4/27 + 13*q**3/27 + 5*q**2/9 + 24*q + 10. Let m(y) = 0. What is y?
-1, 5/7
Let c(p) be the first derivative of 0*p**2 - 18 + 2/9*p**3 + 0*p. Determine u so that c(u) = 0.
0
Suppose -c + 2*x = 3*c - 46, 0 = -3*x - 3. Suppose -9*f = -c*f. Factor 1/3*k + f*k**4 + 0 - 2/3*k**3 + 1/3*k**5 + 0*k**2.
k*(k - 1)**2*(k + 1)**2/3
Factor 87*f**2 + 45*f**4 + 8*f**2 + 48*f**3 - 46*f**4 + 50*f + 4*f**2.
-f*(f - 50)*(f + 1)**2
Let f(g) be the third derivative of -g**6/240 + 7*g**5/120 + g**4/6 + 50*g**2 - 4*g. What is i in f(i) = 0?
-1, 0, 8
Find b, given that -5 + 9/2*b + 1/2*b**2 = 0.
-10, 1
Let b be (6/20)/((-732)/(-60) - 11). Let w(m) be the first derivative of -b*m**3 - 4 + 3/4*m + 3/16*m**4 - 3/8*m**2. Solve w(c) = 0.
-1, 1
Let z be (330/(-462))/((-1)/2*(-14)/(-21)). Let -9/7 + z*n + 57/7*n**3 + 69/7*n**2 + 12/7*n**4 = 0. What is n?
-3, -1, 1/4
Factor -8*u**2 - 19*u**2 - 2*u**2 - u**2 + 12 - 9*u.
-3*(2*u - 1)*(5*u + 4)
Let y = -1713 + 1715. Factor -1/4*g**y - 1/4*g + 1/2.
-(g - 1)*(g + 2)/4
Let 2/3*b**4 - 200 + 274/3*b**2 - 280/3*b - 44/3*b**3 = 0. Calculate b.
-1, 3, 10
Let y = 12 - 7. Let w = y - 3. Factor -w*m**3 + 5*m**2 + 2*m**3 + 2*m**3 + 2*m**4 + 6*m - 15*m**2.
2*m*(m - 1)**2*(m + 3)
Suppose 2*z - l = 10, 0*z - z - 4*l = -23. Determine i, given that -3*i**4 + 18*i**3 - 14*i**3 - z*i**3 = 0.
-1, 0
Let z(p) be the first derivative of -p**4 - 80*p**3 - 1800*p**2 + 675. Factor z(a).
-4*a*(a + 30)**2
Suppose -86 + 20*z**2 + 10*z - 15*z**2 + 91 = 0. What is z?
-1
Suppose 0 = 5*j - 10, -5*j + 9 = -4*b + 47. Factor -44*f**3 - 20*f + 32*f - b*f + 8*f**4 + 20*f**2.
4*f**2*(f - 5)*(2*f - 1)
Let t(c) be the first derivative of 0*c - 4/9*c**2 + 28/9*c**4 + 8 - 4/27*c**3. Suppose t(d) = 0. Calculate d.
-1/4, 0, 2/7
Let o be 152/40 + ((-1003)/(-340) - 3). Find b, given that o*b**2 + 3/4*b**3 + 0*b + 0 = 0.
-5, 0
Factor 16/3 - 68/9*i + 22/9*i**2 - 2/9*i**3.
-2*(i - 6)*(i - 4)*(i - 1)/9
Let b(m) = -3*m**2 + 42*m + 443. Let h(y) = 17*y**2 - 210*y - 2216. Let u(z) = 33*b(z) + 6*h(z). Determine v, given that u(v) = 0.
-21
Let t(k) be the first derivative of -1/30*k**5 + 0*k - 1/12*k**4 - 11 - 4*k**2 + 0*k**3. Let r(o) be the second derivative of t(o). Factor r(g).
-2*g*(g + 1)
Let 6*p - 46*p - 42*p**3 - 13*p + 15*p + 2*p**4 + 78*p**2 = 0. Calculate p.
0, 1, 19
Let x(p) be the third derivative of -p**6/600 - 13*p**5/150 - 209*p**4/120 - 242*p**3/15 - 560*p**2 - p. Factor x(f).
-(f + 4)*(f + 11)**2/5
Suppose -8*c + 11 = -5. Let -2*z**c + 7 - 2*z + 15 - 22 = 0. What is z?
-1, 0
Let j(a) = -a**3 - 12*a**2 - 5*a + 15. Let c(i) = i**3 + i - 1. Let z(p) = 3*c(p) + j(p). Factor z(v).
2*(v - 6)*(v - 1)*(v + 1)
Let c = 317 + -317. Let h(b) be the third derivative of 0 + 0*b**3 + 0*b**5 + c*b + 5*b**2 + 1/108*b**4 - 1/540*b**6. Determine s, given that h(s) = 0.
-1, 0, 1
Let t = 12 + 8. Let k = t + -15. Factor -k + 1 + 21*z**2 + 2*z - 19*z**2.
2*(z - 1)*(z + 2)
Suppose 4*w = -f + 369, -w + 4*f - 202 = -3*w. Let p = 93 - w. Factor -3/5*i + 6/5 + 3/5*i**3 - 6/5*i**p.
3*(i - 2)*(i - 1)*(i + 1)/5
Let g(n) be the third derivative of n**5/150 + 7*n**4/60 + 2*n**3/3 - 139*n**2. Factor g(c).
2*(c + 2)*(c + 5)/5
Let b(x) = -x**2 + 2*x. Let q(a) = -4*a**2 - 476*a + 59049. Let k(j) = 20*b(j) - 4*q(j). Factor k(i).
-4*(i - 243)**2
Let q(h) be the first derivative of 9 + 0*h + 1/3*h**3 + 1/30*h**5 + 1/6*h**4 + 3/2*h**2. Let r(a) be the second derivative of q(a). Factor r(y).
2*(y + 1)**2
Let l(r) be the third derivative of r**7/210 - r**6/120 - r**5/6 - r**4/3 + 13*r**2 - 2. Factor l(g).
g*(g - 4)*(g + 1)*(g + 2)
Let y(j) be the second derivative of 0 + 0*j**3 - 1/15*j**6 - 1/10*j**5 - 1/18*j**4 - 5*j + 0*j**2 - 1/63*j**7. Find a such that y(a) = 0.
-1, 0
Suppose 11 = 3*v - 331. Let h = v - 1024/9. Suppose 2/3*t + h*t**3 + 2/3*t**2 + 2/9 = 0. What is t?
-1
Let n(k) be the third derivative of -k**7/1470 - 11*k**6/56 - 163*k**5/420 + 55*k**4/56 + 82*k**3/21 - 540*k**2. Solve n(x) = 0.
-164, -1, 1
Let g = -46 - -258/5. Suppose 196/5 + 1/5*w**2 - g*w = 0. What is w?
14
Factor -49/6*k**4 - 44/3*k**2 - 16*k + 28*k**3 - 8/3.
-(k - 2)**2*(7*k + 2)**2/6
Let y(k) = k - 1. Let b(f) = -22*f - 4*f**2 - 14*f - 18 - 4 - 2. Let x(s) = -b(s) - 4*y(s). Find r such that x(r) = 0.
-7, -1
Let o be (-4)/(-6) - (-35)/((-945)/18). Solve 0*v**3 + o - 1/8*v**4 + 0*v**2 + 0*v + 1/8*v**5 = 0 for v.
0, 1
Let b(r) be the third derivative of 7*r**6/90 - 17*r**5/120 - 11*r**4/144 + r**3/6 + 222*r**2. Solve b(z) = 0.
-3/8, 2/7, 1
Let x(v) be the second derivative of -v**6/24 - 3*v**5/16 - 5*v**4/24 - 13*v + 4. Factor x(b).
-5*b**2*(b + 1)*(b + 2)/4
Find i, given that 0*i + 2/13*i**4 + 0 + 4/13*i**3 + 2/13*i**2 = 0.
-1, 0
Let i(w) be the third derivative of 0*w + 0 + 1/60*w**5 + 0*w**3 + 23*w**2 + 5/24*w**4. Find s such that i(s) = 0.
-5, 0
Solve -33/7 + 3/7*h**2 + 30/7*h = 0.
-11, 1
Factor 64*a**3 + 14*a**4 - 256*a + 0*a**3 - 512 - 14*a**2 + 78*a**2 + 0*a**4 + a**5.
(a - 2)*(a + 4)**4
Let i(t) be the first derivative of t**7/280 + 3*t**6/160 + 3*t**5/80 + t**4/32 - t**3/3 + 17. Let c(f) be the third derivative of i(f). Factor c(r).
3*(r + 1)**2*(4*r + 1)/4
Let -21/5*w**5 - 27/5*w**4 - 18/5*w - 33/5*w**2 + 0 + 99/5*w**3 = 0. What is w?
-3, -2/7, 0, 1
Let n(d) = 2*d**4 - 7*d**3 + 21*d**2 + 5*d + 5. Let l(j) = -6*j**4 + 20*j**3 - 64*j**2 - 16*j - 16. Let r(m) = 5*l(m) + 16*n(m). Find k, given that r(k) = 0.
0, 2, 4
Let a(s) be the first derivative of 0*s**2 - 1/3*s**4 + 5 - 1/10*s**5 - 1/3*s**3 - 4*s. Let m(q) be the first derivative of a(q). Suppose m(y) = 0. Calculate y.
-1, 0
Let t be 45/12 + (-3 - (-13)/4). Factor 1/3*y**2 - 1/6*y - 1/6 - 1/6*y**t - 1/6*y**5 + 1/3*y**3.
-(y - 1)**2*(y + 1)**3/6
Suppose 10*v - 385 = 55. Suppose -51*h = -v*h. Factor h + 2/17*s**2 - 2/17*s.
2*s*(s - 1)/17
Suppose 80*m = 2*x + 82*m - 12, 0 = -3*x + 5*m - 14. Let c(h) be the first derivative of 2*h**x + 5 - 1/3*h**3 - 4*h. Factor c(r).
-(r - 2)**2
Suppose -2*l - l - 114 = 3*n, n = -5*l - 58. Let v = n + 35. Let -4/5*x**v + 4/5*x**4 - 2/5*x + 2/5*x**5 + 0*x**3 + 0 = 0. What is x?
-1, 0, 1
Suppose 24*r + 5*r**4 + 92*r**3 - 20*r**2 - 82*r**3 - 4*r - 15*r**2 = 0. What is r?
-4, 0, 1
Let c = -13 + 16. Let q be (1*3/(-6))/(0 - 1). Let -y**2 - 1/2*y**c - q*y + 0 = 0. Calculate y.
-1, 0
Let y = 1/20482 + 61441/102410. Factor -9/5 + r**2 + 1/5*r**3 + y*r.
(r - 1)*(r + 3)**2/5
Suppose n + t - 5 = 0, 25 = 3*n - 2*t + 30. Suppose 1/3*a - n + a**2 - 1/3*a**3 = 0. What is a?
-1, 1, 3
Let g(y) be the third derivative of y**5/15 - 3*y**4/2 - 20*y**3/3 - 608*y**2. Factor g(l).
4*(l - 10)*(l + 1)
Let m(p) = -3*p**3 - 6*p**2 - p - 4. Let z(a) = 4*a**3 + 7*a**2 + 5. Let n(d) = -3*m(d) - 2*z(d). Let k be n(-3). Factor 2/3*s**3 - 8/3*s + 0*s**k + 0.
2*s*(s - 2)*(s + 2)/3
Factor 58/3 + 96/5*d - 2/15*d**2.
-2*(d - 145)*(d + 1)/15
Let u(q) be the second derivative of 5*q**4/12 + 55*q**3/6 + 75*q*