 0 = 0.
0, 2/7, 7
Factor 2/9*s**3 + 4/9*s**4 + 0 + 0*s + 0*s**2 + 2/9*s**5.
2*s**3*(s + 1)**2/9
Factor -132 - 268*t - 896*t**2 - 4*t**3 + 1466*t**2 - 710*t**2.
-4*(t + 1)**2*(t + 33)
Let b = 781/58 - 376/29. Factor -b + 3/2*t - 1/2*t**2 + t**4 - 3/2*t**3.
(t - 1)**2*(t + 1)*(2*t - 1)/2
Suppose 2/3 + 32/3*t**3 - 2/9*t**4 + 140/9*t**2 + 64/9*t - 16/9*t**5 = 0. Calculate t.
-1, -1/8, 3
Suppose 5*z - i = 4 + 14, -2*i = -3*z + 8. Let f(p) be the second derivative of 1/180*p**6 + 1/120*p**5 + 0 + 0*p**3 + 0*p**z + 0*p**2 + p. Factor f(k).
k**3*(k + 1)/6
Let v(t) = t - 16. Let h be v(11). Let o be 32/30 - (-2)/h. What is i in 1/3*i - o*i**2 + 0*i**3 + 0 + 2/3*i**4 - 1/3*i**5 = 0?
-1, 0, 1
Let x(t) be the first derivative of -t**6/3 + 19*t**5/10 - t**4/2 - 9*t**3 + 27*t/2 - 382. Let x(z) = 0. What is z?
-1, 3/4, 3
Let w(j) = 4*j**2 - 24*j + 32. Let l(c) = c - 2. Let i(g) = 12*l(g) - w(g). Factor i(s).
-4*(s - 7)*(s - 2)
Let p(z) = -48*z**2 + 342*z - 50. Let y(l) = l + 3. Let o(h) = p(h) - 10*y(h). Factor o(d).
-4*(3*d - 20)*(4*d - 1)
Factor 15/4*y + 0 - 21/2*y**2 - 9/4*y**3.
-3*y*(y + 5)*(3*y - 1)/4
Let r = -73 + 83. Suppose 0 = -5*l - 4*n + 20, -2*l - 5*n + r = -15. Determine b, given that l + 0*b + 2/11*b**3 - 4/11*b**2 = 0.
0, 2
Let c be -14 - ((-15)/165 - (-1925)/(-121)). Factor -146/7*q**c + 4*q**3 - 288/7 - 2/7*q**4 + 48*q.
-2*(q - 4)**2*(q - 3)**2/7
Let j(a) be the first derivative of a**4/20 - 2*a**3/5 + 32*a/5 - 644. Factor j(u).
(u - 4)**2*(u + 2)/5
Factor 48*a + 5193*a**2 - 38 - 46 - 5196*a**2.
-3*(a - 14)*(a - 2)
Let t(n) be the second derivative of -n**7/3360 - n**6/480 - n**5/240 + 2*n**3/3 - 26*n. Let v(i) be the second derivative of t(i). Solve v(y) = 0.
-2, -1, 0
Let a(z) be the third derivative of z**5/20 + 9*z**4/4 + 36*z**3 + 275*z**2. Factor a(u).
3*(u + 6)*(u + 12)
Factor 27 + 9*q**2 + 46*q - 20*q**2 - 91*q + 23*q**2.
3*(q - 3)*(4*q - 3)
Let b(s) be the third derivative of s**7/42 - 11*s**6/24 + 2*s**5/3 + 25*s**4/6 + 113*s**2. Factor b(r).
5*r*(r - 10)*(r - 2)*(r + 1)
Suppose -4*g = 5*a - 524, 3*a = -3*g + 392 - 77. Suppose -v = 2*v - 141. Solve -3*b**2 - 2*b + v*b**3 - 2*b**2 - 144*b**5 + a*b**4 + 0*b**3 = 0.
-1/4, 0, 2/9, 1
Let j(g) be the second derivative of 0 + 37*g + 1/6*g**2 - 1/120*g**5 + 1/12*g**3 + 0*g**4. Factor j(w).
-(w - 2)*(w + 1)**2/6
Factor -5/4*u**2 + 7/4*u + 1/4*u**3 - 3/4.
(u - 3)*(u - 1)**2/4
Suppose 12/5*l**3 - 8/5*l**2 - 2/5*l**5 + 0 + 2/5*l**4 - 16/5*l = 0. Calculate l.
-2, -1, 0, 2
Let t = 27/80 + 1/16. Let d = -42337/5 + 8469. Let -t*k + 7/5*k**2 + 0 + 3/5*k**4 - d*k**3 = 0. What is k?
0, 2/3, 1
Let w(d) be the second derivative of -d**6/33 - 7*d**5/110 + 3*d**4/11 + 28*d**3/33 + 8*d**2/11 + d + 18. Let w(c) = 0. Calculate c.
-2, -1, -2/5, 2
Let d(j) be the third derivative of j**7/168 - j**6/36 + j**5/24 + 5*j**3/3 + 14*j**2. Let u(q) be the first derivative of d(q). What is r in u(r) = 0?
0, 1
Let g be 17 + 7/(385/(-925)). Let 4/11*w**3 + 0*w**2 + g*w**4 - 4/11*w - 2/11 = 0. Calculate w.
-1, 1
Let u be (-1 + -4)/(((-260)/(-24))/(-13)). Let s(w) be the second derivative of 1/22*w**4 - 2/11*w**2 - u*w - 1/33*w**3 + 0. Determine m, given that s(m) = 0.
-2/3, 1
Let s(o) = -8*o**2 + 75*o - 73. Let u(y) = -7*y**2 + 75*y - 72. Let q(z) = 2*s(z) - 3*u(z). Suppose q(m) = 0. What is m?
1, 14
Let c be (4 - 26/4)*(-8)/10. Find p such that -56*p**5 + 55*p**4 - 10*p - 95*p**3 + 65*p**c - 5*p + 21*p**5 + 25*p**5 = 0.
0, 1/2, 1, 3
Suppose 5*x - 2*z - 22 = 0, -x + 2*z = 148 - 162. Factor 0 + 3/4*w**x + 1/4*w**3 - w.
w*(w - 1)*(w + 4)/4
Let a(r) = -27*r**3 + 2*r**2 - 1. Let o be a(-1). Solve -14*v**2 - 22*v**3 - 32*v - 22 - 4*v**4 + 14 - o*v**2 = 0.
-2, -1, -1/2
Suppose -d - d = -3*b - 2, 2*b - 20 = -4*d. Find j, given that -8 - 14*j - 5*j**2 - d - 4 + 7*j**2 = 0.
-1, 8
Let s(j) be the third derivative of j**7/280 + 13*j**6/160 + 23*j**5/80 + 11*j**4/32 + 122*j**2. Factor s(f).
3*f*(f + 1)**2*(f + 11)/4
Let s(f) be the first derivative of -3*f**5/20 - f**4 - f**3/2 + 9*f**2 - 30*f + 25. Let g(j) be the first derivative of s(j). Find i, given that g(i) = 0.
-3, -2, 1
Let a(b) = -b**3 - b**2 - b + 1. Let w(v) = 2*v**2 + 2*v. Let x(g) = -3*a(g) - 3*w(g). Let q(z) = z**2. Let k(t) = -6*q(t) - x(t). Factor k(s).
-3*(s - 1)*(s + 1)**2
Let v(t) = 15*t - 73. Let i be v(5). Suppose -3*g - h = -2 - 2, -12 = i*g - 3*h. Factor -2/13*l**5 + 2/13*l**3 + 0*l**4 + 0*l + 0 + g*l**2.
-2*l**3*(l - 1)*(l + 1)/13
Let p(a) = a**3 - 6*a**2 + 44*a - 477. Let g be p(8). Determine y, given that -7/6*y - 10/3*y**g - 1 + 21/2*y**2 = 0.
-1/4, 2/5, 3
Let g(w) = 3*w**4 - 13*w**3 - 11*w**2 + 8*w + 3. Let m(b) = b**4 - b**3 - b**2 - 1. Let f(u) = -g(u) + 5*m(u). Determine a, given that f(a) = 0.
-2, -1, 1
Let w(c) be the second derivative of 0*c**2 - 1/3*c**3 + 0 - 11*c + 1/6*c**4. Determine d, given that w(d) = 0.
0, 1
Let p be (-31)/(-12) + 710/(-568). Suppose -2/3*w**2 - 2/3 + p*w = 0. Calculate w.
1
Let x = 8984/91 + -690/7. Let l be 0/(18 + -15 + -4 + 0). What is w in x*w - 2/13*w**2 + l = 0?
0, 1
Factor 0 - 7/5*y**2 - 3*y + 7/5*y**3 - 1/5*y**4.
-y*(y - 5)*(y - 3)*(y + 1)/5
Let m be (2/(-6))/(3/(-3*9)). Factor 2*i**2 - i**3 + 4 - 3*i**3 - 6 + 3*i**m + i.
-(i - 2)*(i - 1)*(i + 1)
Suppose 7*m + 23 = 37. Determine b, given that -32/17*b**m - 30/17*b - 6/17*b**3 + 36/17 = 0.
-3, 2/3
Let z(v) = -v**3 - 5*v**2 + 14. Let y be z(-7). Find p, given that -110*p**2 - 24 + y*p - 14*p**3 - 27*p**3 + 17*p**3 - 26*p**3 = 0.
-3, 2/5
Let g = -89 - -91. Factor 295*k - 287*k + 1 - 2*k**g - 7.
-2*(k - 3)*(k - 1)
Let w(f) be the third derivative of 0*f + 0*f**3 - 1/120*f**6 + 1/420*f**7 + 1/24*f**4 + 12*f**2 + 0 - 1/120*f**5. Let w(h) = 0. Calculate h.
-1, 0, 1, 2
Let s(u) = -u**3 + 9*u**2 - 19*u - 11. Let j be s(5). Let t be j*-3*4/24. Find b, given that 0 - 3/4*b + 9/4*b**t - 3/2*b**2 = 0.
-1/3, 0, 1
Let f(a) be the third derivative of 1/525*a**7 + 1/100*a**6 + 0*a + 0*a**3 + 15*a**2 + 0*a**4 + 0 + 0*a**5. Let f(z) = 0. What is z?
-3, 0
Let y = 9 + -6. Let g be (0 + 3)*17/6 - 4. Suppose -y*z**2 - 9/2*z + 3/2*z**5 - 3/2 + g*z**4 + 3*z**3 = 0. Calculate z.
-1, 1
Let u(s) be the second derivative of 3*s**5/20 + 22*s**4/9 - 10*s**3/9 + 248*s - 1. Find p, given that u(p) = 0.
-10, 0, 2/9
Let m(w) be the first derivative of -13*w**2 + 25/2*w**4 - 4 + 10*w**3 - 34/5*w**5 + 4*w - 4*w**6. Determine v so that m(v) = 0.
-2, -1, 1/4, 1/3, 1
Let q = -889 + 2678/3. Let r be (-2)/(-12)*34 + -2. What is s in -q*s**3 + 2/3 - 2/3*s**2 + r*s = 0?
-1, -2/11, 1
Let h(z) be the second derivative of -1/2*z**4 + 0 - 1/56*z**7 + 0*z**2 - 4*z + 3/20*z**5 + 1/20*z**6 + 0*z**3. Let h(l) = 0. Calculate l.
-2, 0, 2
Factor -12167/3 - 529*b - 23*b**2 - 1/3*b**3.
-(b + 23)**3/3
Suppose 14*z + 6*z - 7*z = 0. Suppose z = -2*y + 4*y. Solve 0 + 1/2*s**3 + 1/4*s**4 + 1/4*s**2 + y*s = 0.
-1, 0
Let u be 7/3 + 4/6. Find p such that u*p**5 + 6*p**5 + 4*p**3 + 4*p**5 + 16*p**2 + 2 - 12*p - 18*p**4 - 5*p**5 = 0.
-1, 1/4, 1
Let d(u) = -90*u - 5. Let h(j) = -5*j**2 + 7*j**2 - 2*j**2 - j + 1 - j**2. Let m(g) = -d(g) + 25*h(g). Factor m(r).
-5*(r - 3)*(5*r + 2)
Let g(a) be the third derivative of 5*a**8/336 + 4*a**7/21 + 5*a**6/8 - 2*a**5/3 - 10*a**4/3 - 96*a**2. Find t such that g(t) = 0.
-4, -1, 0, 1
Solve 0 - 4/7*x**3 + 0*x + 2/7*x**2 - 6/7*x**4 = 0.
-1, 0, 1/3
Let r(q) be the first derivative of -q**6/3 + 48*q**5/5 - 92*q**4 + 320*q**3 - 400*q**2 - 129. Determine x, given that r(x) = 0.
0, 2, 10
Let t(x) = -2*x**3 - 2*x**3 + 15*x**3 + x + 1 + 5*x**2 - 8*x**3. Let r(q) = 19*q**3 + 31*q**2 + 5*q + 6. Let u(b) = -6*r(b) + 39*t(b). Factor u(g).
3*(g + 1)**3
Let g(a) be the third derivative of -21*a**2 + 1/1365*a**7 + 0*a**4 + 0*a**3 + 0 - 1/780*a**6 + 0*a**5 + 0*a. What is r in g(r) = 0?
0, 1
Let k(s) = 2*s**2 - 104*s + 554. Let g be k(46). Let 0*p**g + 0 + 1/4*p - 1/4*p**3 = 0. Calculate p.
-1, 0, 1
Factor 39*r**3 - 171 + 26*r**2 + 171 - 40*r**3.
-r**2*(r - 26)
Let v(k) be the first derivative of -k**5/100 - k**4/60 + k**3/15 - 14*k + 13. Let q(x) be the first derivative of v(x). Solve q(w) = 0.
-2, 0, 1
Let j(a) be the second derivative of 27*a**5/20 - 4*a**4 - 2*a**3 + a - 85. Factor j(c).
3*c*(c - 2)*(9*c + 2)
Let l(m) = m**2 + 5*m + 2. Let n be l(-5). Let a = -2 + 2. Factor 0 + a*u + 1/4*u**n + 1/4*u**