(i) be the first derivative of 9*i**4/4 + 2*i**3 - 18*i**2 - 24*i - 15. Factor h(a).
3*(a - 2)*(a + 2)*(3*a + 2)
Determine f so that -2/3*f**3 - 30*f + 100/3 + 8*f**2 = 0.
2, 5
Factor 9/4*x**2 - 9/4*x - 3/4*x**3 + 3/4.
-3*(x - 1)**3/4
Suppose 28*x + 12 = 31*x. Let v(p) be the first derivative of p + 1/2*p**3 - 1/10*p**5 - 2 - 1/8*p**x + 5/4*p**2. Factor v(u).
-(u - 2)*(u + 1)**3/2
Find x such that -44/3*x**3 + 0*x - 1/3*x**4 + 0 + 0*x**2 = 0.
-44, 0
Let h(a) = -3 + a + 11 + 0*a. Let u be h(-6). Suppose 3 + 4*j**3 - 3*j - 3*j + 2*j**5 - 1 - 6*j**4 + 4*j**u = 0. Calculate j.
-1, 1
Let x(u) be the second derivative of -u**4/30 + 4*u**3/15 + 5*u + 4. What is q in x(q) = 0?
0, 4
Let g(u) = 2*u**3 - u**2 - u + 1. Let b(f) = -4*f**4 + 29*f**3 - 65*f**2 + 47*f - 11. Let t(h) = -b(h) - 4*g(h). Factor t(q).
(q - 7)*(q - 1)**2*(4*q - 1)
Solve 11/4*o + 3 - 1/4*o**2 = 0.
-1, 12
Suppose -3*h = -3*x - 24, -2*h = h - x - 16. Let v(y) be the first derivative of -2/17*y**2 - 11 + 0*y - 3/34*y**h - 10/51*y**3. Factor v(c).
-2*c*(c + 1)*(3*c + 2)/17
Let z(s) be the second derivative of -s**3/3 - 3*s**2 - 7*s. Let c be z(-4). Factor c*i + 1 + 2 + 4 - 3 - 6*i**2.
-2*(i - 1)*(3*i + 2)
Let m be (-21)/(-4) + (-180)/144. Factor 0 - 3/5*r**3 + 0*r**2 + 0*r - 3/5*r**m.
-3*r**3*(r + 1)/5
Let h(q) be the third derivative of -q**5/15 + 3*q**4/2 + 20*q**3/3 - 3*q**2 + 7*q. Find u, given that h(u) = 0.
-1, 10
Factor -960*l + 536*l**2 - 160 + 508*l**4 - 1750*l**3 - 264*l - 3236*l**2 + 117*l**4 + 64*l.
5*(l - 4)*(5*l + 2)**3
Let x(f) be the first derivative of 6/5*f**6 - 4/5*f**2 + 0*f - 3 - 23/5*f**4 - 12/25*f**5 - 52/15*f**3. Let x(n) = 0. Calculate n.
-1, -1/3, 0, 2
Let h(o) be the third derivative of o**7/105 - o**6/20 - 8*o**5/15 - o**4 + 169*o**2. Factor h(r).
2*r*(r - 6)*(r + 1)*(r + 2)
Let n(o) = 2*o**2 + 28*o + 6. Let a(k) = -3*k**2 - 56*k - 11. Let d(m) = 6*a(m) + 11*n(m). Factor d(c).
4*c*(c - 7)
Suppose 2*x + 6 = 4*x. Let j(u) be the first derivative of 5 - x*u**4 - 5*u**3 - 3*u**2 - 3/5*u**5 + 0*u. Determine q, given that j(q) = 0.
-2, -1, 0
Let b(y) be the second derivative of 0*y**3 + 0 + 1/12*y**2 - 14*y - 1/72*y**4. Factor b(x).
-(x - 1)*(x + 1)/6
Suppose -3*f = -31 - 2. Let i = f - 21/2. Factor 3/2*p**2 + 0 + i*p**3 + p.
p*(p + 1)*(p + 2)/2
Let t(d) = -d**5 - 4*d**4 - 3*d**3 - 2*d**2 + 7*d. Let p(f) = -2*f**2 + f. Let s(o) = -3*p(o) + t(o). Determine v, given that s(v) = 0.
-2, -1, 0, 1
Let c be (231/(-49) - -5) + 52/14. Suppose -8 = -i + 2*x, -c*i - x - 3 = 1. Let 1/4*g**4 - 1/4*g**2 + 0 - 1/4*g**5 + i*g + 1/4*g**3 = 0. What is g?
-1, 0, 1
Let d(x) = -x**2 + 14*x + 680. Let j be d(-20). Factor j + 3/7*y**2 + 6/7*y.
3*y*(y + 2)/7
Let s(h) be the first derivative of 4*h**3/3 + 536*h**2 + 71824*h - 108. Factor s(i).
4*(i + 134)**2
Let a be ((1 - -4) + -1)/1. Suppose -a*h = h - 15. Suppose h*y**2 - 9 - y**3 + 9 - 2*y = 0. What is y?
0, 1, 2
Let n(z) = -469*z + 3286. Let x be n(7). Let -8/13*h**x - 2/13*h**4 - 8/13*h**2 + 0*h + 0 = 0. What is h?
-2, 0
Let r = 150 - 146. Suppose y = r*y + 9, b = 2*y + 8. Factor 2*l**b + 2/3 - 2/3*l**3 - 2*l.
-2*(l - 1)**3/3
Suppose 0 = 79*f + 42*f - 9*f. Determine y, given that 0*y**3 + 0*y + 0*y**2 + f + 2/5*y**4 = 0.
0
Suppose 0 = 39*j - 53*j - 64*j. Let 2/7*g**2 + 6/7*g + j = 0. Calculate g.
-3, 0
Suppose -4*i + 15*t = 10*t - 30, -3*i + 5*t = -30. Factor -4/3*s**3 - 2/3*s**5 + 0 - 2*s**4 + 0*s**2 + i*s.
-2*s**3*(s + 1)*(s + 2)/3
Let s(g) = 6*g**3 + 90*g**2 + 1358*g + 6754. Let q(z) = z**3 + 2*z + 1. Let u(x) = -4*q(x) + s(x). Determine w so that u(w) = 0.
-15
Let u(h) be the first derivative of h**6/8 + 3*h**5/5 + 9*h**4/16 - h**3 - 3*h**2/2 + 40. Determine f so that u(f) = 0.
-2, -1, 0, 1
Let f(r) be the third derivative of r**7/420 - 29*r**6/240 + 77*r**5/40 + 121*r**4/48 - 1331*r**3/3 + 458*r**2. Solve f(y) = 0.
-4, 11
Let 2/7*v**5 + 0*v - 6/7*v**4 - 18/7*v**3 - 72/7 + 62/7*v**2 = 0. Calculate v.
-3, -1, 2, 3
Let j(x) be the first derivative of 0*x**2 + x**4 + 8/3*x**3 + 0*x - 7. Factor j(u).
4*u**2*(u + 2)
Let o be 2/16 + 24/64. Suppose -o*l**2 - 1 - 3/2*l = 0. Calculate l.
-2, -1
Let l = -25/17 - -653/340. Let j(b) be the third derivative of 0 + 7*b**2 - 1/10*b**7 + 1/8*b**6 - b**3 - 5/8*b**4 + 0*b + l*b**5. Solve j(x) = 0.
-1, -2/7, 1
Let h(z) be the second derivative of z**4/12 + 113*z**3/6 + 56*z**2 - 4*z - 64. Find s such that h(s) = 0.
-112, -1
Let c = -65 - -60. Let r be (8/15)/(c/(-15)). Factor 2/5*k**2 - r*k + 6/5.
2*(k - 3)*(k - 1)/5
Let y = 91 + -44. Let b = 49 - y. Suppose -6/11*u**b - 6/11*u**3 - 2/11*u - 2/11*u**4 + 0 = 0. What is u?
-1, 0
Let r be (-167)/(-501)*(-2)/(-8). Suppose 3/4*k - r*k**2 - 2/3 = 0. Calculate k.
1, 8
Let k(o) = 4*o - 17. Let f be (-4)/(-3) - (-110)/30. Let m be k(f). Suppose -4*b**5 - 12*b**2 - 4*b - 30*b**4 + 14*b**4 - 24*b**m - 4*b**2 = 0. Calculate b.
-1, 0
Suppose 0 = r + r - 10. Suppose 28*y - 10*y - 18*y + r*y**2 + 10*y**3 + 5*y**4 = 0. What is y?
-1, 0
Let x = -5088 - -5091. Factor -3/7*n + 0 + 3/7*n**2 + 6/7*n**x.
3*n*(n + 1)*(2*n - 1)/7
Let b = 1309/4 - 3919/12. Determine o so that 0*o - 1/3*o**2 - 1/3*o**4 + 0 + b*o**3 = 0.
0, 1
What is d in -56*d - 8 - 20 + 6 + 12*d**2 + 2 = 0?
-1/3, 5
Let u = 7/2256 - -745/2256. Factor u*g**2 + 2/3*g - 1.
(g - 1)*(g + 3)/3
Let x(c) be the third derivative of c**7/210 + c**6/60 - c**5/12 - c**4/4 + 26*c**2 + 1. Suppose x(d) = 0. Calculate d.
-3, -1, 0, 2
Let i(x) be the third derivative of -x**8/6720 - x**7/2520 + 3*x**4/4 + 11*x**2. Let l(h) be the second derivative of i(h). Suppose l(p) = 0. What is p?
-1, 0
Let w(s) be the first derivative of -4*s**5/5 - 18*s**4 - 112*s**3 + 196*s**2 + 4116*s - 46. Determine v so that w(v) = 0.
-7, 3
Let b = 1/737935 - -98144938/307718895. Let m = 2/139 + b. Find h such that -m - 1/6*h**2 + 1/2*h = 0.
1, 2
Let l be (-15)/(-25)*(-20)/(-6). Factor 5/2*s**l + 5/2*s + 0.
5*s*(s + 1)/2
Factor 1/2*l + 0 - 1/4*l**2.
-l*(l - 2)/4
Factor -3*f**2 + 3*f**2 - 30*f + 4*f**2 + 52 - 2*f**2.
2*(f - 13)*(f - 2)
Let c(a) be the first derivative of -2*a**5 + 320*a - 140*a**3 - 115/4*a**4 - 200*a**2 + 36. Factor c(j).
-5*(j + 4)**3*(2*j - 1)
Let w = 137 + -136. Suppose 0 = -k + w - 2, k + 5 = 2*f. Factor 4/15*t - 2/15*t**4 + 0 - 2/3*t**f + 8/15*t**3.
-2*t*(t - 2)*(t - 1)**2/15
Let p(b) = b**3 + 6*b**2 + 4*b - 1. Let v be p(-5). Suppose -5*z + v = -11. Find j, given that j**z + 0 + 1/2*j + 3/2*j**2 = 0.
-1, -1/2, 0
Suppose 0 = -2*n + 2, -3*u + 14 = 2*u + 4*n. Factor 8*w**2 + 2*w**2 + 8*w**u + 9*w + 5*w**3 - 3 - 29*w**3.
-3*(w - 1)*(2*w + 1)*(4*w - 1)
Suppose -12 = 3*q + 3. Let u(g) = 4*g**3 - g**2 - 9*g + 1. Let w(m) = 0*m + 2 + m - 2. Let p(s) = q*w(s) - u(s). Solve p(a) = 0 for a.
-1, 1/4, 1
Let a be (4/(-9))/(((-27)/(-9))/(-3)). Solve -a - 2/3*w - 2/9*w**2 = 0.
-2, -1
Let j(u) be the second derivative of 2*u**6/3 - 4*u**5 + 35*u**4/4 - 55*u**3/6 + 5*u**2 - 91*u + 2. Suppose j(b) = 0. What is b?
1/2, 1, 2
Let z(q) be the third derivative of -11*q**5/24 + 125*q**4/48 + 15*q**3 - q**2 - 40*q. Suppose z(t) = 0. What is t?
-1, 36/11
Let -3*i**4 - 26*i**2 + 45*i**2 + 45*i**3 - 61*i**2 = 0. What is i?
0, 1, 14
Let k be (-18)/3 - (-3876)/342. Let -k*w + 5/3*w**4 - 4/3 + w**5 - 7*w**2 - 7/3*w**3 = 0. What is w?
-1, -2/3, 2
Suppose 3*v - v = 4*m + 42, 1 = m. Solve -26*g + 2*g**3 - g**5 + 70*g - 22*g - v*g = 0 for g.
-1, 0, 1
Let o = 20721/44 + -1883/4. Let 98/11 + o*u**2 + 28/11*u = 0. Calculate u.
-7
Let f(x) = x**4 - 5*x**3 + 4*x. Let d be (-171)/45 - (-2)/(-10). Let n(k) = k**4 - 4*k**3 + 3*k. Let p(w) = d*n(w) + 3*f(w). Factor p(y).
-y**3*(y - 1)
Let z(f) be the first derivative of -7/18*f**3 + 1/8*f**4 - 1/2*f**2 + 0*f - 1/36*f**6 + 1/10*f**5 - 25. Determine k, given that z(k) = 0.
-1, 0, 2, 3
Let t(r) be the second derivative of 2*r**6/15 - 8*r**5/5 + 5*r**4/3 + 76*r**3/3 + 48*r**2 - 30*r + 3. Factor t(j).
4*(j - 6)*(j - 4)*(j + 1)**2
Factor 192 - 12*m - 445 + 3*m**3 + 217 + 9*m**2.
3*(m - 2)*(m + 2)*(m + 3)
Let t be (-12)/(-378)*-2*(-14)/4. Solve 2/9 + 0*v - t*v**2 = 0 for v.
-1, 1
Let d be (2 - -2)*5*(-5)/(-25). Factor 4*a**4 - d*a**2 - 6*a**2 + 10*a**2 + 8*a**3.
4*a**3*(a + 2)
Factor 0 - 2/7*s**2 - 22/7*s.
-2*s*(s + 11)/7
Let g(h) be the second derivative of h**5/750 + h**4/150 + h**3/75 - 19*h**2 - 39*h. Let w(r) be the