pose -3*l + r + 0*r + 12 = 0, -5*l - 2*r = -20. Factor -u**4 - 6*u + 1 + 4*u + l*u**3 - 2*u**3.
-(u - 1)**3*(u + 1)
Suppose 0 = 5*x + 4*y - 40, 3*x + 5*y + 0*y - 37 = 0. Factor -2*t**3 - 5*t**x + 5*t**3 - t**4 + 3*t**5.
3*t**3*(t - 1)**2
Let z(f) be the second derivative of -2*f**6/15 + f**5/5 + f**4 - 10*f**3/3 + 4*f**2 + 11*f. Factor z(x).
-4*(x - 1)**3*(x + 2)
Suppose 149*h**2 + 15*h - 305*h**2 - 12 + 153*h**2 = 0. What is h?
1, 4
Suppose 4*h = 3*b - 15, 3*h = -13*b + 14*b - 5. What is g in 2/7*g**2 + 8/7*g**b - 8/7*g**3 + 0*g + 0 - 2/7*g**4 = 0?
-1, 0, 1/4, 1
Let g be 4 - ((2 - 2) + 2). Let n(h) be the first derivative of 0*h**5 + 0*h**g - 1 + 1/16*h**4 - 1/24*h**6 + 0*h + 0*h**3. Factor n(c).
-c**3*(c - 1)*(c + 1)/4
Let z(p) be the first derivative of 3*p**5/5 - 9*p**4/4 + 3*p**3 - 3*p**2/2 + 3. Solve z(l) = 0 for l.
0, 1
Let r(d) be the first derivative of d**5/15 - d**4/3 + 2*d**3/9 + 2*d**2/3 - d - 13. Find n, given that r(n) = 0.
-1, 1, 3
Let u = -15570/13 - -1198. Factor 0 - 2/13*c**2 + 2/13*c**3 - u*c.
2*c*(c - 2)*(c + 1)/13
Let p = -1979 - -251335/127. Let x = p + 248/381. Factor 2/3*b**2 - 2/3*b**3 + 2/3*b - x.
-2*(b - 1)**2*(b + 1)/3
Let b = 2135/3 + -711. Factor -1/3*m**3 - b*m - m**2 + 0.
-m*(m + 1)*(m + 2)/3
Let x(v) be the second derivative of -v**4/4 - 4*v**3 - 24*v**2 + 7*v. Solve x(u) = 0 for u.
-4
Let m = 40 - 40. Factor m - 4/9*w - 2/9*w**2.
-2*w*(w + 2)/9
Suppose 13 = a + 1. Factor 60*g**3 + 8 + 28*g + 74*g**2 + a*g + 12*g**4 + 6*g**4.
2*(g + 1)**2*(3*g + 2)**2
Let x = -105/16 + 347/48. Factor 0*m - x*m**3 + 0 + 4/3*m**2.
-2*m**2*(m - 2)/3
Suppose -3*u - 2*s = 3*s + 9, 0 = u - 5*s - 17. Find n, given that -12*n**2 + 13*n - 2*n**4 + 8*n**3 - 3*n - 2*n - u = 0.
1
Let h(g) = 6*g + 2. Let x be (-2 - 0)/2 - 4. Let n(j) = j**3 + j**2 + 13*j + 5. Let v(o) = x*h(o) + 2*n(o). Factor v(k).
2*k*(k - 1)*(k + 2)
Let s(a) be the second derivative of -2*a**6/15 + a**5/5 + a**4/3 - 2*a**3/3 - 12*a. Solve s(p) = 0 for p.
-1, 0, 1
Suppose g = s + 2, -4*g + 21 = 4*s + 13. What is n in 2/3*n**4 + 0*n - 1/3*n**5 + 0*n**2 - 1/3*n**3 + s = 0?
0, 1
Let p(l) be the second derivative of l**8/448 + l**7/280 - l**2 - 2*l. Let v(s) be the first derivative of p(s). Solve v(b) = 0 for b.
-1, 0
Let j(n) be the third derivative of -n**7/245 + 3*n**6/70 - 13*n**5/70 + 3*n**4/7 - 4*n**3/7 + 16*n**2. Determine p so that j(p) = 0.
1, 2
Solve -14*x**3 + 12*x + 12*x**2 + 2*x**3 - 47*x**2 + 16 + 4*x**4 + 15*x**2 = 0 for x.
-1, 1, 4
Let c(j) be the third derivative of 1/240*j**6 + 0*j**4 - 10*j**2 + 0*j**7 - 1/2016*j**8 - 1/180*j**5 + 0 + 0*j**3 + 0*j. Factor c(b).
-b**2*(b - 1)**2*(b + 2)/6
Let t be (15 + -19)*10/(-1). Let s = -159/4 + t. Determine b so that -15/4*b**4 + 7/2*b**2 - 1/2*b**3 + s - 7/4*b + 9/4*b**5 = 0.
-1, 1/3, 1
Determine r so that -6*r + 8/3 - 20/3*r**2 + 2*r**3 = 0.
-1, 1/3, 4
Let q be 50/12 + ((-96)/(-3))/(-8). Factor -9*s**2 + 2*s**3 - 27/2 - q*s**4 + 18*s.
-(s - 3)**4/6
Let y be 126/72 - (-1)/4. Let g(t) be the first derivative of -4*t + 2 - 2*t**3 - 4*t**4 + 7*t**y + 8/5*t**5. Factor g(m).
2*(m - 2)*(m + 1)*(2*m - 1)**2
Find f, given that -48/7*f**4 + 8*f**2 - 16/7*f**3 + 4*f**5 - 8/7 - 12/7*f = 0.
-1, -2/7, 1
Let m(s) be the third derivative of -s**5/15 + s**4/3 + 4*s**2. What is p in m(p) = 0?
0, 2
Let k(w) = -w**2 + 4. Let y be k(0). Determine i so that -y*i**2 - 2 + 1 - i**2 + 6*i**2 = 0.
-1, 1
Factor b**3 + 0*b**3 - 10*b**2 - 14 + 8 + b**3 + 14*b.
2*(b - 3)*(b - 1)**2
Let a be (-10 + 8)/(4/(-6)). Let k be a + -1 + 0 + -2. Let 2/5*n + k + 2/5*n**2 = 0. What is n?
-1, 0
Suppose -1/3*a**2 + 1/3 + 1/3*a - 1/3*a**3 = 0. What is a?
-1, 1
Let y(g) = -g + 2. Let q be y(-3). Suppose 0*m**2 - 7*m**3 + 0*m**3 + q*m**2 + 2*m + 0*m = 0. What is m?
-2/7, 0, 1
Let l(o) = 3*o**3 + o**2 - 3*o + 1. Let n = 4 - 14. Let t(u) = 7*u**3 + 2*u**2 - 7*u + 3. Let m(y) = n*l(y) + 4*t(y). Factor m(r).
-2*(r - 1)*(r + 1)**2
Let g = -19 + 24. Let b(j) be the third derivative of 1/60*j**6 + 0*j + 0 - j**2 - 1/6*j**4 + 0*j**3 + 1/30*j**g. Let b(s) = 0. Calculate s.
-2, 0, 1
Factor 3/2*t + 0*t**3 - 9/4*t**2 + 0 + 3/4*t**4.
3*t*(t - 1)**2*(t + 2)/4
Let c be (36/60)/(4/30). Factor 1 - 11/2*z + c*z**2.
(z - 1)*(9*z - 2)/2
Let w be 20/40 - 6/(-4). Suppose 0 = -3*g - x + 11, x + w*x = -5*g + 25. Factor 0 - j**4 - 1/3*j**5 - 1/3*j**g + 0*j - j**3.
-j**2*(j + 1)**3/3
Suppose -2*y - 4 + 9 = -s, -20 = -5*y + 4*s. Solve 0*b**2 + 0*b + 0 + 2/15*b**5 + y*b**3 - 4/15*b**4 = 0 for b.
0, 2
Determine o so that 1/4*o**4 + 0 + 0*o**2 + 0*o + 1/4*o**3 = 0.
-1, 0
Let i(d) be the third derivative of d**8/10080 + d**7/1260 + d**6/360 + d**5/20 - 2*d**2. Let h(y) be the third derivative of i(y). Find a such that h(a) = 0.
-1
Let k(g) be the third derivative of -g**7/315 + g**6/180 + 13*g**2. Solve k(u) = 0 for u.
0, 1
Let k(i) be the first derivative of 0*i**3 + 1/11*i**2 + 0*i - 1 - 1/22*i**4. Factor k(w).
-2*w*(w - 1)*(w + 1)/11
Let z(f) be the first derivative of f**6/120 - f**5/180 + 2*f**2 + 3. Let r(j) be the second derivative of z(j). Factor r(k).
k**2*(3*k - 1)/3
Let d(y) be the first derivative of 1/27*y**6 - 2/45*y**5 - 2/9*y + 4/27*y**3 + 5 - 1/9*y**4 + 1/9*y**2. Suppose d(r) = 0. Calculate r.
-1, 1
Factor 4 - 13*y**2 + 7/2*y**3 + 10*y.
(y - 2)**2*(7*y + 2)/2
Let c(w) = -w**2 + 1. Let g = 1 + 2. Let d(l) = 6 - 7*l**2 - 9*l**2 + 9*l + 4*l**2 - g*l. Let t(s) = -21*c(s) + 3*d(s). Factor t(r).
-3*(r - 1)*(5*r - 1)
Let z = 64 + -255/4. Let h(p) be the first derivative of -3/8*p**2 - 1/4*p**3 - 1/16*p**4 - z*p + 2. Let h(a) = 0. Calculate a.
-1
Let r be (6/4)/(27/72). Let n(d) be the third derivative of -1/12*d**r + 1/60*d**6 + 1/15*d**5 + 0*d - 2/3*d**3 + d**2 + 0. Find m, given that n(m) = 0.
-2, -1, 1
Let z be (-2 - 1/1)*-1. Find m such that 4/3*m**3 + z*m**5 - 4*m**4 + 0*m + 0 + 0*m**2 = 0.
0, 2/3
Let a(f) be the second derivative of 7*f**5/5 + 2*f**4/3 - f. Factor a(k).
4*k**2*(7*k + 2)
Let w(g) be the third derivative of 0*g + 0*g**3 - 1/60*g**4 + 1/300*g**6 - 1/150*g**5 + 0 + 1/525*g**7 - 2*g**2. Factor w(p).
2*p*(p - 1)*(p + 1)**2/5
Let i(h) = h - 12. Let m be i(5). Let u(y) = -3*y**2 - y - 6. Let s(x) = 4*x**2 + x + 9. Let g(d) = m*u(d) - 5*s(d). Factor g(n).
(n - 1)*(n + 3)
Suppose 4*i = 0, i + 36 = 3*z - 2*i. Suppose 3*v + 0 = z. Let 2*r**4 - 1/3*r**5 - 13/3*r**3 + 0 - 4/3*r + v*r**2 = 0. Calculate r.
0, 1, 2
Suppose 0 = -9*f + 20 - 2. Suppose 0 - 2/3*d**3 - 2/3*d - 4/3*d**f = 0. Calculate d.
-1, 0
Let i(d) be the third derivative of -1/840*d**6 - 1/2352*d**8 + 0*d + 0*d**3 + 0*d**5 + 2*d**2 + 0 + 0*d**4 + 1/735*d**7. What is p in i(p) = 0?
0, 1
Suppose 0 = -8*i + 4*i. Let l be (3/(-2) - -2)*i. Factor 0*q**2 + 0*q + 2/3*q**5 + l + 2/3*q**3 - 4/3*q**4.
2*q**3*(q - 1)**2/3
Let o(x) be the second derivative of 3*x**5/20 + x**4/4 - 2*x. Determine h, given that o(h) = 0.
-1, 0
Suppose -4*v - 5 = 2*y - 23, 0 = v - 3. Solve 4*u - 11*u**2 - 6 + y*u**2 - 4*u**3 + 14 = 0.
-2, -1, 1
Let u(x) be the second derivative of x**9/1512 + x**8/840 - x**7/420 - x**6/180 + x**3/2 - 2*x. Let m(c) be the second derivative of u(c). Factor m(l).
2*l**2*(l - 1)*(l + 1)**2
Let g(k) be the third derivative of -5*k**8/336 - k**7/30 - k**6/60 + 4*k**2. Factor g(z).
-z**3*(z + 1)*(5*z + 2)
What is i in 3*i + 0*i**5 + 90*i**3 + 30*i**5 - 87*i**4 - 42*i**2 + 3*i**2 + 3*i = 0?
0, 2/5, 1/2, 1
Let n(c) be the first derivative of -8*c**3/3 - 3*c**2/2 + 4*c + 2. Let p(u) = 15*u**2 + 5*u - 7. Let m(h) = -7*n(h) - 4*p(h). Factor m(d).
-d*(4*d - 1)
Let w(d) be the third derivative of d**8/560 - d**7/140 + d**6/120 - 5*d**3/6 - 4*d**2. Let q(f) be the first derivative of w(f). Factor q(g).
3*g**2*(g - 1)**2
Let a(b) = b**3 - 2*b**2 + b - 2. Let k(j) = -j**2 + 5*j + 8. Let f be k(6). Let p be a(f). Determine q, given that p + 0*q - 2/5*q**2 = 0.
0
Let z = 131 - 127. What is w in 0*w + 3/2*w**z + 0 + 1/2*w**2 - 1/2*w**5 - 3/2*w**3 = 0?
0, 1
Let l be 4*1/(-4)*(-6)/12. Determine u so that 1/2*u**2 + l*u**3 - u + 0 = 0.
-2, 0, 1
Factor 0*y**2 - 8/5*y**3 + 0 + 0*y - 4/5*y**4.
-4*y**3*(y + 2)/5
Let i = -1/14 + 31/42. Factor -i*l**2 + 0*l + 2/3.
-2*(l - 1)*(l + 1)/3
Let l(j) be the second derivative of j**6/30 - j**5/40 - j**4/12 + j**3/12 - 2*j. Find m, given that l(m) = 0.
-1, 0, 1/2, 1
Let z(y) = -y - 3. Let p b