*2*(i - 1)**2/8
Let r = -5588/39 + 684/13. Let z = r - -92. Find k such that 2*k**4 + 0 - z*k + 2/3*k**3 - 2*k**2 + 2/3*k**5 = 0.
-2, -1, 0, 1
Let f(r) = r + 1. Let u be f(1). Suppose 15*p**u + 3*p - 3 + 1 - 4 + 6*p = 0. Calculate p.
-1, 2/5
Let y(h) = h**2 - 6*h + 1. Let z be y(5). Let d be (-2)/14*z - (-4)/(-56). Factor 0 + d*v - 1/2*v**2.
-v*(v - 1)/2
Let n(o) be the first derivative of o**5/5 - 25*o**4/4 + 68*o**3 - 290*o**2 + 400*o - 73. Determine h, given that n(h) = 0.
1, 4, 10
Let b(m) = m**2 + 105*m + 953. Let x be b(-10). Factor 4/5*k**4 - 8/5*k - 12/5*k**2 + 0*k**x + 0.
4*k*(k - 2)*(k + 1)**2/5
Let 0 + 4/5*c**4 - 52/5*c**3 - 144/5*c + 192/5*c**2 = 0. What is c?
0, 1, 6
Let u(m) be the first derivative of m**4/4 - 7*m**3/3 - 5*m**2 + 16*m + 65. Factor u(t).
(t - 8)*(t - 1)*(t + 2)
Let d(y) be the third derivative of -y**6/660 - 47*y**5/330 + 97*y**4/132 - 49*y**3/33 - 307*y**2. Determine t, given that d(t) = 0.
-49, 1
Solve -2/11*r**5 + 0 + 0*r - 10/11*r**4 + 26/11*r**3 - 14/11*r**2 = 0 for r.
-7, 0, 1
Let y(p) be the second derivative of -p**5/12 + 10*p**3/3 + 45*p**2/2 + 16*p - 2. Let f(w) be the first derivative of y(w). Solve f(r) = 0 for r.
-2, 2
Let q(u) be the third derivative of 1/210*u**5 + 0*u - 2*u**2 + 0 - 1/42*u**4 + 0*u**3. Find c such that q(c) = 0.
0, 2
Let r(b) = -b**3 + 34*b**2 - 33*b + 6. Let u be r(33). Factor -4 - u*x - 3*x**2 - 1/2*x**3.
-(x + 2)**3/2
Let l(y) = 3*y**4 - 11*y**3 + 7*y**2 + 51*y + 53. Let p(r) = -r**4 + 5*r**3 - 4*r**2 - 26*r - 26. Let g(o) = -2*l(o) - 5*p(o). Factor g(d).
-(d - 3)*(d + 2)**3
Let g(j) be the second derivative of 2*j**6/5 + 3*j**5/20 - 3*j**4 + 5*j**3/2 + 3*j**2 + 12*j - 6. Suppose g(q) = 0. What is q?
-2, -1/4, 1
Let c be (-1 - -5) + 0 + -2 - -22. Let z be (10/(80/12))/(10/c). Let 2/5*d**2 + 12/5*d + z = 0. What is d?
-3
Suppose -9*p + 2*p + 14 = 0. Factor 124*h**2 - 54*h + 16*h**p + 31*h**2 + 48*h**4 - 168*h**3.
3*h*(h - 2)*(4*h - 3)**2
Let s = -161 - -1933/12. Let p(b) be the first derivative of s*b**4 + 0*b**3 + 0*b - 2 - 1/6*b**2. Find r, given that p(r) = 0.
-1, 0, 1
Factor 72*o**2 + 9 + 19 + 13*o**3 + 16 - 153*o + 34 - 10*o**3.
3*(o - 1)**2*(o + 26)
Let l(y) be the first derivative of 3*y**5/10 + 9*y**4/8 + 3*y**3/2 + 3*y**2/4 + 180. Factor l(u).
3*u*(u + 1)**3/2
Let h(r) be the second derivative of -1/15*r**4 + 2/15*r**3 + 18*r + 0*r**2 + 0. Factor h(d).
-4*d*(d - 1)/5
Suppose 105 = -h + 109. Let y(u) be the second derivative of 1/80*u**5 + 0*u**h + 0*u**3 + 0 + 0*u**2 + 8*u. Factor y(m).
m**3/4
Let k(f) = 10*f - 5. Let j be k(4). Factor -j*q**2 + 3*q**4 + 5*q**2 + 6*q**3 + 10*q**2 + 11*q**2.
3*q**2*(q - 1)*(q + 3)
Let r(b) = -5*b**2 + 140*b + 1130. Let i(y) = 7*y**2 - 138*y - 1131. Let u(d) = -5*i(d) - 6*r(d). Factor u(q).
-5*(q + 15)**2
Let z(n) be the second derivative of -n**7/280 + n**5/80 + 9*n**2/2 - 8*n. Let i(s) be the first derivative of z(s). Factor i(u).
-3*u**2*(u - 1)*(u + 1)/4
Let u be 696/(-4466)*(-14)/4. Let g(q) be the first derivative of -u*q + 2/33*q**3 + 2/11*q**2 - 7. Factor g(k).
2*(k - 1)*(k + 3)/11
Let z = 289/4 - 839/12. Let j be 1 + 3/9 - 1. Suppose -j - 4/3*a**4 + z*a + 13/3*a**3 - 5*a**2 = 0. What is a?
1/4, 1
Let v(p) be the first derivative of -13*p**3/3 - 25*p**2/4 + p/2 + 54. Factor v(m).
-(m + 1)*(26*m - 1)/2
Let u(n) be the third derivative of n**7/210 - n**6/120 + 3*n**2 - 16*n. Factor u(c).
c**3*(c - 1)
Factor 0 - 5/2*i + 5/6*i**4 - 5/6*i**3 - 25/6*i**2.
5*i*(i - 3)*(i + 1)**2/6
Let d be (-3)/((-60)/(-55)) - -3. Let c(r) be the first derivative of -1/8*r**4 + 4 + d*r**2 - 1/6*r**3 + 1/2*r. Factor c(y).
-(y - 1)*(y + 1)**2/2
Let x(a) be the first derivative of -10*a + 2*a**3 + 12 + 5/6*a**4 + a**2. Let j(c) be the first derivative of x(c). Solve j(s) = 0 for s.
-1, -1/5
Suppose -25*z = 9*z. Factor -2/15*y**2 + 2/15*y**3 + 0*y + z.
2*y**2*(y - 1)/15
Let f(i) = 5*i**5 + i**4 - 19*i**3 + 5*i**2 + 40*i + 32. Let w(c) = -10*c**5 - c**4 + 39*c**3 - 10*c**2 - 80*c - 62. Let b(x) = -11*f(x) - 6*w(x). Factor b(h).
5*(h - 2)**2*(h + 1)**3
Let i = 9700 - 9696. Factor 8/3*r**2 + 0 + 4*r**3 + 0*r + 4/3*r**i.
4*r**2*(r + 1)*(r + 2)/3
Let y(o) be the third derivative of 8*o**2 + 1/80*o**5 + 0 + 225/8*o**3 + o - 15/16*o**4. Factor y(p).
3*(p - 15)**2/4
Suppose 5*f + 4*a - 418 = 2*f, -2*f - 3*a = -277. Let b = -144 + f. Suppose -2/15*n - 2/15*n**b + 4/15 = 0. Calculate n.
-2, 1
Suppose -101*k = -91*k - 40. Let p(r) be the third derivative of 0*r**6 + 0 + 1/105*r**7 + 1/6*r**k + 0*r - 1/10*r**5 + 10*r**2 + 0*r**3. Factor p(i).
2*i*(i - 1)**2*(i + 2)
Let p = -72 + 150. Let y = p - 76. Suppose -6/5*t + 12/5*t**3 - 21/5*t**y + 0 = 0. Calculate t.
-1/4, 0, 2
Suppose -6*b = 4*b - 50. Factor -8 + 0 - b*p**2 + 8 - 10*p.
-5*p*(p + 2)
Factor 216/7*h**2 + 212/7*h + 0 + 4/7*h**3.
4*h*(h + 1)*(h + 53)/7
Let b(t) = -t - 4. Let j be b(-10). Let q = 8 - j. Factor -2*g + 4*g**3 + 5*g**2 - g**4 - 4*g**3 - 2*g**q.
-g*(g - 1)**2*(g + 2)
Let j(t) be the first derivative of -t**6/2 + 42*t**5/5 - 147*t**4/4 - 32. Find m such that j(m) = 0.
0, 7
Suppose 0*k + 25 = -t + k, 4*k = 2*t + 54. Let r = -18 - t. Factor -r*j + 4*j**2 + 19*j - 6*j.
4*j*(j + 2)
Let a(j) = j**2 - j. Let w(u) = -13 - 8*u - 6*u**2 + 14*u**2 + 6 + 8. Let n(f) = -51*a(f) + 6*w(f). Determine y so that n(y) = 0.
-1, 2
Let v(r) = 30*r**2 - 30*r. Let o(q) = q**2 - q. Let g(b) = -25*o(b) + v(b). Factor g(u).
5*u*(u - 1)
Let l(c) be the third derivative of 25*c**6/24 + 85*c**5/4 - 45*c**4 + 110*c**3/3 - 29*c**2. Suppose l(p) = 0. What is p?
-11, 2/5
Let u be (-78)/4*80/(-1932). Let j = 8/161 + u. Determine p, given that 8/7*p - 2/7*p**2 - j = 0.
1, 3
Factor -1/3*a**2 + 1/3*a**3 + 0 - 4*a.
a*(a - 4)*(a + 3)/3
Let z = 0 - -4. Let c(v) be the second derivative of -1/90*v**6 + 0 - 4*v - 1/2*v**z - 10/9*v**3 - 4/3*v**2 - 7/60*v**5. Factor c(d).
-(d + 1)*(d + 2)**3/3
Let v be (1298/33)/((-2)/(-3)). Factor 2*p + 54*p**4 - 2*p - v*p**4 + 5*p**2.
-5*p**2*(p - 1)*(p + 1)
Suppose -76*a + 7412 = 7260. Find s such that -1/5*s + 1/5*s**a - 6/5 = 0.
-2, 3
Let j(r) be the third derivative of 169*r**7/560 - 221*r**6/160 + 7*r**5/5 - r**4/2 + 56*r**2. Determine i, given that j(i) = 0.
0, 4/13, 2
Let q(v) = v**5 + v**3 + v**2. Suppose 7 = -17*a + 24*a. Let j(k) = -2*k**5 + 12*k**4 - 6*k**3 - 6*k**2 + 12*k - 4. Let d(b) = a*j(b) - 2*q(b). Solve d(i) = 0.
-1, 1
Let s(t) = -t**5 - 4*t**4 + 4*t**2 + t + 6. Let l = -16 + 10. Let x(z) = z**4 - z**2 - 1. Let i(d) = l*x(d) - s(d). Determine k, given that i(k) = 0.
-1, 0, 1
Let s(u) = u. Let d(h) = -17*h**2 + 3*h. Let l(i) = -d(i) + 2*s(i). Let q be l(1). What is c in 5*c**3 + 5*c**4 + 20*c**4 + 4*c + 3*c - q*c**2 - 3*c = 0?
-1, 0, 2/5
Suppose 88*l - 2*d - 22 = 83*l, -5*l = 3*d - 17. Find o, given that 0*o - 3/4*o**2 + 0 - 1/4*o**5 - 1/4*o**l + 5/4*o**3 = 0.
-3, 0, 1
Let q(h) be the third derivative of h**8/8400 + h**7/2100 - h**6/450 - h**5/75 - h**3/3 + 6*h**2. Let j(z) be the first derivative of q(z). Factor j(g).
g*(g - 2)*(g + 2)**2/5
Factor 0 + 4/7*p - 1/7*p**2.
-p*(p - 4)/7
Let z(k) be the second derivative of -12*k + 256/5*k**2 - 32/5*k**3 - 1/100*k**5 + 0 + 2/5*k**4. Factor z(s).
-(s - 8)**3/5
Suppose 0 = 2*a + 2*l - 6, a - 6 - 9 = -5*l. Solve 1/6*w**2 + 1/6*w + a = 0.
-1, 0
Let m be 6 - (-7)/42*-34. Find t such that -1/3 + 2/3*t**2 + m*t = 0.
-1, 1/2
Suppose q - 2 = 7. Let h = q + -7. Let 3*f - f - 2*f**3 + 3*f**4 - f**4 - 2*f**h = 0. Calculate f.
-1, 0, 1
Let q = 734/161 - -20/23. Solve -q*d**2 - 25/7*d**3 - 8/7 - 8/7*d**4 - 1/7*d**5 - 4*d = 0.
-2, -1
Factor 4*r**4 + 2*r**2 + 183*r - 263*r + 20*r**3 + 3*r**2 - 14*r**2 - 7*r**2.
4*r*(r - 2)*(r + 2)*(r + 5)
Let w(u) = u**5 + u**4 - u**3 + 1. Let h(k) = -7*k**5 - 40*k**4 - 42*k**3 + 48*k**2 + 48*k - 30. Let c(g) = h(g) - 2*w(g). What is o in c(o) = 0?
-2, 2/3
Let t(s) be the first derivative of -s**5/20 + 23*s**4/16 + 25*s**3/4 + 77*s**2/8 + 13*s/2 + 70. Factor t(f).
-(f - 26)*(f + 1)**3/4
Let v(b) be the second derivative of -5/24*b**4 + 0 - 9/80*b**5 + 0*b**2 - 1/6*b**3 - 1/336*b**7 - 4*b - 7/240*b**6. What is z in v(z) = 0?
-2, -1, 0
What is b in 3/7*b**2 - 54/7 - 9/7*b = 0?
-3, 6
Suppose -3*a - 4*r = 6, 3*r = 362*a - 367*a + 1. Suppose s**4 + 1/2*s + 1 - 2*s**a - s**3 + 1/2*s**5 = 0. Calculate s.
-2, -1, 1
Let n(g) = 15*g**5 -