5*h**4 + 0 + 2/15*h**2 - 2/15*h.
-2*h*(h - 1)**2*(h + 1)/15
Let x(t) be the first derivative of 2*t**3/15 - 14*t**2/5 + 48*t/5 + 130. Factor x(w).
2*(w - 12)*(w - 2)/5
Let g(m) = -6*m**2 - 178*m - 180. Let k(u) = -u**2 - 36*u - 36. Let t(d) = 6*g(d) - 28*k(d). Factor t(o).
-4*(o + 6)*(2*o + 3)
Let v = -3 + 7. Suppose -v*g - 2*j = -8, -g + 0*g + 13 = -5*j. Factor -2*c - 9*c**2 + 2*c**g + 5*c**2 + 2 + 2.
2*(c - 2)*(c - 1)*(c + 1)
Factor -2/3*c - 3/4*c**2 - 1/12*c**3 + 0.
-c*(c + 1)*(c + 8)/12
Find n such that 0 - 8/5*n**2 + 4/5*n**3 - 12/5*n = 0.
-1, 0, 3
Let p(k) be the first derivative of 6/5*k**5 + 0*k**4 - 2*k**3 + 0*k + 1/2*k**6 - 3/2*k**2 + 18. Solve p(m) = 0 for m.
-1, 0, 1
Suppose -70*k**2 - 3873 - 4*k**5 + 3945 + 136*k + 0*k**5 - 84*k**3 + 46*k**4 = 0. What is k?
-1, -1/2, 2, 9
Let a be 11/((-495)/20)*-6. Let o(c) be the second derivative of 0 - 6*c + 3/5*c**5 + 4*c**2 + 14/3*c**3 + a*c**4. Factor o(g).
4*(g + 1)**2*(3*g + 2)
Let w(b) be the second derivative of -1/300*b**6 - 2*b + 1/20*b**2 - 6 + 1/30*b**3 + 0*b**4 - 1/100*b**5. Factor w(p).
-(p - 1)*(p + 1)**3/10
Let i(d) = -d + 16. Let p be i(7). Let y = -6 + p. Let -3*n**3 + 3*n - 2*n**2 + 0*n**3 - n**2 + y*n**4 = 0. What is n?
-1, 0, 1
Let s be (-21128)/(-95) + -2*(-3)/10. What is c in 8*c**2 + 8 + 2*c**4 - 5*c**4 - 211*c + 17*c**3 + s*c - 38*c**2 = 0?
-1/3, 2
Let s be ((-3)/2)/(24/160). Let l = s + 18. Factor z**2 - 11*z**2 + l*z**2 + 2.
-2*(z - 1)*(z + 1)
Let b(l) = 344*l + 1. Let u be b(-1). Let o = 2405/7 + u. Find c, given that o*c**2 + 2*c + 6/7 = 0.
-3, -1/2
Let t(k) be the third derivative of -k**5/12 + 65*k**4/8 + 143*k**2. Suppose t(f) = 0. What is f?
0, 39
Suppose -5*j = -0*j. Suppose j = -2*a - 0*a + 4. Solve 9*r**4 - 12*r**a - 12*r**4 + 0*r**3 + 12*r**3 = 0.
0, 2
Let u(m) = -m**4 + 2*m**3 + m**2 - 2*m - 1. Suppose -23 + 33 = -5*k. Let d(f) = -f**3 + f + 1. Let h(p) = k*d(p) - 2*u(p). Factor h(l).
2*l*(l - 1)**2*(l + 1)
Determine u so that -40/3*u + 8 + 2/9*u**4 + 20/9*u**3 + 26/9*u**2 = 0.
-6, 1
Let j(v) be the third derivative of -v**5/180 + 7*v**4/72 - 2*v**3/3 - 5*v**2 + 30*v. Let j(c) = 0. Calculate c.
3, 4
Let v = 7648 + -38236/5. Find i such that v + 2/5*i**3 + 2*i + 8/5*i**2 = 0.
-2, -1
Let n = 5709 - 5709. Factor -14/3*p**3 + 4/3*p**2 + 8/3*p**4 + 2/3*p + n.
2*p*(p - 1)**2*(4*p + 1)/3
Let z = -11394 + 11397. Suppose 0 - s - 1/3*s**z - 4/3*s**2 = 0. What is s?
-3, -1, 0
Let t(v) be the first derivative of -v**4/16 + 13*v**3/12 - 23*v**2/4 + 12*v - 391. Factor t(d).
-(d - 8)*(d - 3)*(d - 2)/4
Suppose 0 = -2*t + g + 2, 2*t + 9*g = 5*g + 12. Find d such that -216/5*d**t - 4/5 - 432/5*d**3 - 324/5*d**4 - 48/5*d = 0.
-1/3
Suppose -8*v + 24 = -8. Factor 6*h**2 - 4 + 5*h**3 - 27*h - 2*h**4 - v*h**3 + 29*h - 3*h**3.
-2*(h - 1)**2*(h + 1)*(h + 2)
Factor -2*u**4 - 358*u**3 + 1721*u + 7222*u**2 + 7*u**4 + 395*u + 9*u**4 - 282*u**3.
2*u*(u - 23)**2*(7*u + 2)
Let u(y) be the third derivative of y**8/1512 + 2*y**7/189 + 37*y**6/540 + 2*y**5/9 + y**4/3 + 202*y**2. Let u(d) = 0. What is d?
-3, -2, 0
Let p(s) be the third derivative of -s**6/360 - 4*s**5/15 - 32*s**4/3 + 25*s**3/6 + 27*s**2. Let k(u) be the first derivative of p(u). Factor k(q).
-(q + 16)**2
Let h(x) be the third derivative of 1/2*x**3 - 7/24*x**4 + 1/12*x**5 - 1/120*x**6 + 3*x**2 + 0*x + 0. Factor h(s).
-(s - 3)*(s - 1)**2
Determine j so that -117*j**2 + 2*j + 3*j**4 + 222*j**2 - 114*j**2 + 4*j = 0.
-2, 0, 1
Let a = 443/14 - 61/2. Suppose -c = 2*p + 2*c - 6, -p - 5*c + 3 = 0. Factor a*f**4 - 2/7 + 18/7*f**2 - 2/7*f - 22/7*f**p.
2*(f - 1)**3*(4*f + 1)/7
Let u(b) be the third derivative of -b**5/150 - 16*b**4/15 + 13*b**3/3 + 848*b**2. Solve u(g) = 0.
-65, 1
Let q(g) be the second derivative of g**7/2520 + g**6/360 + g**5/120 + g**4/72 - 5*g**3/6 - 23*g. Let l(v) be the second derivative of q(v). Factor l(s).
(s + 1)**3/3
Let t(s) = -s**2 + 14*s - 8. Let x be t(10). Factor 80 - 20 + 19*h - 27*h**2 + 21*h + x*h**2.
5*(h + 2)*(h + 6)
What is s in -24/11 + 16/11*s - 2/11*s**2 = 0?
2, 6
Let z be (7 + 0)*(-24)/(-14). Suppose -z = -2*a - 3*l + 7, 25 = 5*a + 3*l. Let -3*i + 10*i**a - 1 - 11*i**2 + i = 0. What is i?
-1
Let r(z) be the third derivative of z**2 - 1/15*z**5 + 0*z**3 + 0*z + 0 + 5/6*z**4. Factor r(d).
-4*d*(d - 5)
Let l be ((-15)/(-5))/(2 + -1 + 0). What is m in 8 + 5*m**l - 12 - 9*m**3 - 12*m**2 - 12*m = 0?
-1
Let f = 21 + -16. Factor -171 - h**f + 171.
-h**5
Let c(a) be the third derivative of 2*a**2 + 0*a**5 + 0*a**3 + 0*a**4 - 2/315*a**7 - 1/126*a**8 + 0*a + 0 + 1/90*a**6. Solve c(x) = 0 for x.
-1, 0, 1/2
Let d(n) be the second derivative of -n**5/40 - 59*n**4/12 + 239*n**3/12 - 30*n**2 + 16*n + 3. Determine g so that d(g) = 0.
-120, 1
Let n(y) be the first derivative of y**8/840 - y**7/105 + y**6/45 - 2*y**3 + 11. Let c(t) be the third derivative of n(t). Solve c(z) = 0.
0, 2
Find h, given that 4*h**3 - h + 32*h - 15*h + 20*h**2 = 0.
-4, -1, 0
Let w(o) = o**3 + o**2 - 1. Let d(j) = -5*j**4 - 14*j**3 - 13*j**2 - 4*j - 3. Suppose -h + 12 = 5*x, -4*x + 3 = x + 4*h. Let y(p) = x*w(p) - d(p). Factor y(c).
c*(c + 1)*(c + 2)*(5*c + 2)
Let y(r) = -3*r**3 + 8*r**2 + 8*r + 4. Let j(p) = 5*p**3 - 15*p**2 - 15*p - 7. Let x(f) = -4*j(f) - 7*y(f). Solve x(m) = 0 for m.
-2, 0
Let l be 6/18 - (2 + 89/(-3)). Factor 6*n**4 - l*n**3 + 32*n**3 - 4*n**4 - n**5 - 8*n**2.
-n**2*(n - 2)**2*(n + 2)
Let w = -2317/2 + 1171. Let o(d) be the first derivative of 8 + 28*d**3 + 42*d**5 + 6*d**2 + 0*d + 207/4*d**4 + w*d**6. Find j, given that o(j) = 0.
-1, -2/5, 0
Suppose 226 + 54 = -7*u. Let n = -35 - u. Factor 0 - 4/9*g**2 + 0*g**3 + 4/9*g**4 - 2/9*g**n + 2/9*g.
-2*g*(g - 1)**3*(g + 1)/9
Let p(j) be the second derivative of -5*j**7/42 + j**6/6 + 5*j**5/4 - 5*j**4/12 - 20*j**3/3 - 10*j**2 - 23*j - 1. Let p(k) = 0. Calculate k.
-1, 2
Factor -3/2*h**2 + 3*h**3 + 0 - 3*h + 3/2*h**4.
3*h*(h - 1)*(h + 1)*(h + 2)/2
Let l be 9*(8/(-3) + 3). Let -12*s**4 + s**3 + 2*s**5 - 6*s**2 - 4*s**l + 18*s**2 + s**5 = 0. What is s?
-1, 0, 1, 4
Let h be 5/(-1)*(-1)/3*3. Let v = h - 7/2. Solve v*i**3 - 1 - 7/2*i - i**2 = 0.
-1, -1/3, 2
Let f(k) be the second derivative of -k**7/63 - 4*k**6/45 + 13*k**5/30 + 2*k**4/9 - 4*k**3/3 - 6*k. Let f(v) = 0. Calculate v.
-6, -1, 0, 1, 2
Let w(q) = q - 2. Suppose 0*t + 20 = 4*t. Let b be w(t). Factor 0*v**2 + 0*v**b - 1/3*v**5 + 0 + 0*v - 1/3*v**4.
-v**4*(v + 1)/3
Factor 66 + 21/2*m - 3/2*m**2.
-3*(m - 11)*(m + 4)/2
Let n(o) be the first derivative of -2/15*o**3 + 4/5*o - 1/5*o**2 + 20. Factor n(a).
-2*(a - 1)*(a + 2)/5
Factor -386*l**2 + 25*l**4 + 635*l**3 + 16395*l - 16655*l - 14*l**2.
5*l*(l - 1)*(l + 26)*(5*l + 2)
Suppose 0*a = -6*a - 48. Let l be a/((-10)/5) - 4. Suppose 0*h - 2/5*h**5 - 2/5*h**3 + l + 0*h**2 - 4/5*h**4 = 0. Calculate h.
-1, 0
Let -3988*l**2 + 578349*l + 856*l**2 - 71118324 + 239103*l + 4*l**3 = 0. Calculate l.
261
Let h = 13/79 + 1/474. Factor 1/6*d - h*d**3 + 1/3 - 1/3*d**2.
-(d - 1)*(d + 1)*(d + 2)/6
Let m(u) be the second derivative of -u**5/170 - 38*u**4/51 - 1444*u**3/51 - u + 39. Let m(s) = 0. What is s?
-38, 0
Let y(v) be the second derivative of -4/5*v**3 - 7/30*v**4 - 4/5*v**2 + 2/75*v**6 + 10*v + 3/50*v**5 + 0. Suppose y(i) = 0. What is i?
-2, -1, -1/2, 2
Let q(o) be the third derivative of -o**7/735 - 17*o**6/420 - 3*o**5/10 + 35*o**4/12 + 196*o**3/3 - 27*o**2 + 1. Determine j so that q(j) = 0.
-7, 4
Let w = 1643/2 + -821. Solve -w*b**2 - 1/2*b + 0 - 1/8*b**3 = 0 for b.
-2, 0
Let t = 40511/21 - 1929. Let o(a) be the first derivative of 0*a - 1/14*a**6 + 8/35*a**5 + t*a**3 + 0*a**2 - 1/4*a**4 - 10. Let o(d) = 0. What is d?
0, 2/3, 1
Let i(y) = 11*y - 42. Let l = 239 - 235. Let b be i(l). Let -1/4*d**b + 1/4 + 0*d = 0. What is d?
-1, 1
Let u = 115 + -63. Let v = u - 52. Factor 0*l + v - 2/7*l**2.
-2*l**2/7
Let x be (2 - 5 - -2)*-3. Let z = 5 - x. Determine t, given that -143 + 143 - 2*t**z - 2*t = 0.
-1, 0
Let c(s) = 3*s**2 - 9*s + 1. Let x(h) be the second derivative of -h**4/12 + 2*h**3/3 - h**2/2 - 11*h. Let t(l) = -2*c(l) - 5*x(l). Factor t(p).
-(p - 1)*(p + 3)
Let p(w) = 3*w**2 - 4*w + 2. Let r be p(2). Let q = -77 + 82. Factor 12*d**q - 14*d**4 + r*d**3 + 6*d**2 - 6*d**5 - 5*d + d.
2*d*(d - 1)**3*(3*d + 2)
Determine d so that -4*d**2 - 69*d**4 + 26*d**2 + 18*d**2 - 12*d**2 + 