+ 0*z + 0*z**3 - 2/3*z**4 + 0 = 0?
-1, 0, 1
Factor -k**3 - 9/2*k**5 + 0*k + 0 + 0*k**2 - 11/2*k**4.
-k**3*(k + 1)*(9*k + 2)/2
Let m be 5/(-3)*(-1 - 2). Suppose 3*v - m*v = 2*z + 4, 5*z - 4*v - 26 = 0. Factor z - 1 + 1 - q**2 - 3*q + 2*q.
-(q - 1)*(q + 2)
Let g(z) = -7*z**2 + 42*z + 30. Let a(n) = 19*n**2 - 125*n - 80. Let y(w) = -3*a(w) - 8*g(w). Factor y(v).
-v*(v - 39)
Let l = 208/627 - -1/627. Let k(z) be the first derivative of -4/3*z**3 - l*z**2 + 0*z - 8 - 8/15*z**5 - 3/2*z**4. Find q, given that k(q) = 0.
-1, -1/4, 0
Let b(j) be the second derivative of 3*j**3 + 0 + 15/2*j**2 + 1/4*j**4 - 25*j. Determine v, given that b(v) = 0.
-5, -1
Let m(l) be the second derivative of -l**6/45 - 17*l**5/30 - 31*l**4/18 - 5*l**3/3 + 535*l - 2. Solve m(j) = 0.
-15, -1, 0
Let q(h) be the first derivative of 4*h**5/5 + 4*h**4 + 20*h**3/3 + 4*h**2 - 73. Factor q(r).
4*r*(r + 1)**2*(r + 2)
Let o(d) be the first derivative of -d**3/2 - 21*d**2/2 + 45*d/2 - 91. Factor o(p).
-3*(p - 1)*(p + 15)/2
Let t(k) = -k**4 - k**3 + 2*k**2 + 1. Let m(a) = a**4 - 3*a**3 + 22*a + 9. Let w(q) = 2*m(q) + 6*t(q). Factor w(y).
-4*(y - 2)*(y + 1)**2*(y + 3)
Let h(c) be the first derivative of -2*c**3/9 - c**2 - 4*c/3 + 73. Suppose h(r) = 0. What is r?
-2, -1
Let m be -4 + (-6 + -3 - -10)*5. Solve -1/2*z - m + 1/2*z**2 = 0.
-1, 2
Let j(l) be the first derivative of 1/7*l**3 + 0*l - 8 - 1/14*l**2 - 1/14*l**4. Factor j(x).
-x*(x - 1)*(2*x - 1)/7
Let t(m) be the second derivative of 3 - 5*m - 3/20*m**5 + m**2 + 7/6*m**3 + 1/6*m**4. Let t(w) = 0. What is w?
-1, -1/3, 2
Let m(g) = g**2 + g - 1. Let z be m(1). Let v be (-6*z + 2)/(-1). Solve -3*j**5 + 24*j + 15*j**v - 6 - 1 - 3*j**2 - 5 - 21*j**3 = 0 for j.
-1, 1, 2
Let b(g) be the second derivative of -g**4/60 - g**3/15 + 3*g**2/2 + g - 53. Factor b(u).
-(u - 3)*(u + 5)/5
Let i(c) = c**2 + 1. Let b(q) = -q**2 + q - 1. Let d(j) = -3*j**2 - 13*j - 3. Let y(m) = 5*b(m) + d(m). Let l(z) = 12*i(z) + y(z). Factor l(x).
4*(x - 1)**2
Determine t, given that -72 + 1902*t**4 - 12*t + 72*t - 12*t**3 + 28*t**2 - 1906*t**4 = 0.
-3, 1, 2
Let d = 15464 + -15462. Factor 2/5*t**d + 242/5 - 44/5*t.
2*(t - 11)**2/5
Let s(o) be the first derivative of -o**3/12 - 3*o**2/4 - 2*o + 176. Determine h, given that s(h) = 0.
-4, -2
Let -47 - 414*q**4 - 510*q - 35*q**2 - 53 - 17*q**2 - 82*q**2 + 1118*q**3 + 40*q**5 = 0. Calculate q.
-2/5, -1/4, 1, 5
Let d(s) = -s**4 + s. Let y(q) = -4*q**5 - 12*q**4 - 4*q**3 + 20*q. Let l(z) = -20*d(z) + y(z). Factor l(w).
-4*w**3*(w - 1)**2
Let t = -12 + 17. Let n(a) = 11*a**2 - 3*a + 6. Let s(v) = 3*v**2 + 12 - 5*v + 3*v - 5 + 7*v**2. Let u(r) = t*s(r) - 6*n(r). Factor u(i).
-(4*i - 1)**2
Let z be (-8242)/(-3804) + (-2)/(-4). Solve 23/6*d**3 - 7/6*d - 4/3*d**4 - z*d**5 + 1/6 + 7/6*d**2 = 0.
-1, 1/4, 1
Suppose 2*f - 2*x = -0*x - 4, 3*f + 1 = -2*x. Let k be 2 + 2 + f + 21. Factor -8 - 6*h + k + h + h**2 - 3*h.
(h - 4)**2
Let d(b) = -30*b**5 + 55*b**4 - 255*b**2 - 340*b - 95. Let g(m) = 7*m**5 - 14*m**4 + 64*m**2 + 85*m + 24. Let v(u) = 6*d(u) + 25*g(u). Factor v(w).
-5*(w - 2)*(w + 1)**3*(w + 3)
Suppose -3 = s - 8. Factor -2*p**4 + p**5 + 11*p**4 - s*p**4 - 3*p**5.
-2*p**4*(p - 2)
Factor -255/7*r**2 + 0*r - 3/7*r**3 + 0.
-3*r**2*(r + 85)/7
Let b(i) = 8*i**2 - 54*i + 43. Let k(h) = -10*h**2 + 58*h - 44. Let c(f) = 4*b(f) + 3*k(f). What is l in c(l) = 0?
1, 20
Suppose 42*p + 12 = 46*p. What is m in 0*m + 0 + 5*m**p + 0*m**2 + 5/2*m**4 = 0?
-2, 0
Factor -8 + 1/2*d**4 + 4*d - 4*d**3 + 15/2*d**2.
(d - 4)**2*(d - 1)*(d + 1)/2
Let m be 17 + (32/(-10) - (-4)/20). Factor 569 + m*l - l + l**3 - 8*l**2 - 575.
(l - 6)*(l - 1)**2
Solve -28 - 7*w**2 - 9 - 41 - 70*w + 30 - w**2 = 0 for w.
-8, -3/4
Factor 0 + 2/5*n**3 - 4/5*n - 2/5*n**2.
2*n*(n - 2)*(n + 1)/5
Let f(w) be the second derivative of w**6/210 + w**5/140 - w**4/84 - w**3/42 - 426*w. What is h in f(h) = 0?
-1, 0, 1
Suppose 128*d - 250*d = -126*d. Let b(w) be the first derivative of 3/20*w**5 + 0*w**3 - 1/16*w**4 - 1/12*w**6 + 0*w + 7 + d*w**2. Factor b(y).
-y**3*(y - 1)*(2*y - 1)/4
Let l(h) be the first derivative of h**4 - 20*h**3/3 + 14*h**2 - 12*h + 232. Suppose l(s) = 0. What is s?
1, 3
Let b(a) = 24*a**2 - 32*a - 32. Suppose -6*z + 4*z = -32. Let c(n) = -12*n**2 - 7 + z*n + 21 + 2. Let v(m) = 3*b(m) + 7*c(m). Solve v(l) = 0 for l.
-2/3, 2
Suppose -5*n = -5*o - 40, -o - 20 + 6 = -3*n. Let -12/5*g**n + 18/5*g**2 + 0*g + 2/5*g**4 + 0 = 0. Calculate g.
0, 3
Suppose 20 = -4*d, 3*b - 7*d = -9*d + 8. Let q(n) be the first derivative of -4 - b*n - 3/2*n**2 + 3*n**3. Solve q(p) = 0 for p.
-2/3, 1
Let b be (-28)/42 - (-46)/42. Let u(a) be the first derivative of 4/7*a - 1 + 0*a**3 + b*a**2 - 1/14*a**4. Suppose u(y) = 0. What is y?
-1, 2
Let k(o) be the second derivative of o**6/30 - o**5/20 - o**4/24 - 9*o**2/2 + 12*o. Let u(p) be the first derivative of k(p). Factor u(i).
i*(i - 1)*(4*i + 1)
Let j(h) = -9*h**2 + 9*h. Let f(d) be the first derivative of -2*d**3/3 + d**2 - 2. Let c be 94/(-18) + (-12)/(-54). Let w(a) = c*j(a) + 24*f(a). Factor w(p).
-3*p*(p - 1)
Let 2/19*u**3 - 2/19*u**2 + 0 - 12/19*u = 0. What is u?
-2, 0, 3
Let a = 383/16 - -9/16. Let j = a + -24. Find u such that -7/2*u**4 + 11/4*u + 13/2*u**3 - j - 6*u**2 + 3/4*u**5 = 0.
2/3, 1
Let y be 114/38 - 3/(-1). Let u(i) be the second derivative of -3*i + 0 - 1/40*i**5 + 1/48*i**4 + 0*i**3 - 7/120*i**y - 1/42*i**7 + 0*i**2. Factor u(w).
-w**2*(w + 1)**2*(4*w - 1)/4
Factor -361/4 - 1/4*n**2 + 19/2*n.
-(n - 19)**2/4
Suppose -9*q - 2028 = -2055. Determine h, given that -1/8*h**q + 0 + 0*h - 1/8*h**2 = 0.
-1, 0
Let j(i) = -15*i**4 + 143*i**3 + 158*i**2 + 7*i. Let d(p) = -10*p**4 + 95*p**3 + 105*p**2 + 5*p. Let r(b) = 7*d(b) - 5*j(b). Factor r(y).
5*y**2*(y - 11)*(y + 1)
Let g be (-5 - -2)/((-6)/4). Determine r, given that -12*r - 16 + 15*r**g + 5*r**2 + 7*r**2 + r**2 = 0.
-4/7, 1
Let f(i) be the first derivative of i**8/3696 - 2*i**7/1155 + i**6/264 - i**5/330 - 17*i**2 - 46. Let k(x) be the second derivative of f(x). Factor k(j).
j**2*(j - 2)*(j - 1)**2/11
Let x = 2/405 + 41/810. Let j(k) be the first derivative of 1/5*k**5 + 0*k**2 + 1/9*k**3 + x*k**6 + 1/4*k**4 - 2 + 0*k. Let j(f) = 0. Calculate f.
-1, 0
Let x(r) = -3*r**2 + 23*r + 3. Let v be x(3). Suppose 15*z + 0*z - v = 0. Find j, given that 2/9*j**4 + 4/9*j**z - 4/9*j + 0 - 2/9*j**2 = 0.
-2, -1, 0, 1
Let t(x) be the third derivative of x**7/210 + 2*x**6/45 + 2*x**5/15 + 10*x**3/3 - 15*x**2. Let f(y) be the first derivative of t(y). Solve f(a) = 0 for a.
-2, 0
Let k(i) be the third derivative of -i**8/168 + 2*i**7/105 + i**6/5 + 7*i**5/15 + 5*i**4/12 - 275*i**2. Factor k(t).
-2*t*(t - 5)*(t + 1)**3
Let v(b) = -15*b**2 - 52*b - 33. Let l(m) = -45*m**2 - 157*m - 98. Suppose 4*j + 5*g - 12 = 0, -1 - 5 = -2*j + g. Let q(u) = j*l(u) - 8*v(u). Factor q(w).
-5*(w + 3)*(3*w + 2)
Let w = 2181/5 + -436. Factor -7/5*m - 6/5 - w*m**2.
-(m + 1)*(m + 6)/5
Let p(d) be the second derivative of -d**7/14 + 13*d**6/5 - 399*d**5/20 - 148*d**4 + 742*d**3 - 1176*d**2 - d - 74. Determine q so that p(q) = 0.
-4, 1, 14
Let t(z) = z**4 + 49*z**3 + 88*z**2 + 54*z. Let p(q) = -q**4 - 25*q**3 - 44*q**2 - 26*q. Let y(h) = -7*p(h) - 3*t(h). Factor y(d).
4*d*(d + 1)**2*(d + 5)
Suppose -3*p + p**2 + 190 + 194 - 9*p - 364 = 0. What is p?
2, 10
Let c = 10 + -16. Let i(x) = 4*x**2 + 4*x - 5. Let l(s) = -4*s**2 - 4*s + 4. Let o(n) = c*l(n) - 5*i(n). Find v such that o(v) = 0.
-1/2
Let b = 39 + -34. Factor b*w**3 - 27*w + 39*w - 17*w.
5*w*(w - 1)*(w + 1)
Let c(o) = -3*o**2 + 18*o + 42. Suppose -3*k + 4*p = 2*k - 22, 2 = k - 2*p. Let b(t) = t**2 + t - 1. Let f(n) = k*b(n) + c(n). Let f(r) = 0. What is r?
-6, -2
Solve 16*j - 3687 + j**4 + 22*j**2 + 3696 + 8*j + 8*j**3 = 0 for j.
-3, -1
Suppose 0 = -2*t - 39 - 95. Let u = t - -69. Factor -3/5*d**3 - 1/5*d**4 - 3/5*d**u - 1/5*d + 0.
-d*(d + 1)**3/5
Let a(f) = 71*f - 282. Let l be a(4). Determine s, given that -2/5*s**l + 6/5*s - 4/5 = 0.
1, 2
Factor 9/2 + 1/4*w**2 + 11/4*w.
(w + 2)*(w + 9)/4
Let s = -1676 - -1676. Factor 8/13*d**2 + 2/13*d**4 + 0 - 10/13*d**3 + s*d.
2*d**2*(d - 4)*(d - 1)/13
Let y(s) = s**4 - s**3 - s**2 + s - 1. Let q(p) = -35*p**4 - 117*p**3 - 125*p**2 - 47*p - 6. Let h(n) = -3*q(n) + 6*y(n). Factor h(c).
3*(c + 1)**3*(37*c + 4)
Let g(v) be t