, 0
Let 0 + 0*q - 1/8*q**2 = 0. Calculate q.
0
Determine m, given that 0 + 1/4*m**5 + 2*m**3 + 0*m + 5/4*m**4 + m**2 = 0.
-2, -1, 0
Let m(c) be the third derivative of c**6/10 - 2*c**5/15 - 2*c**4 + 16*c**3/3 - 23*c**2. Factor m(n).
4*(n - 2)*(n + 2)*(3*n - 2)
Let u(k) be the second derivative of -k**10/15120 - k**9/2520 - k**8/1680 + k**4/12 + k. Let j(h) be the third derivative of u(h). Factor j(f).
-2*f**3*(f + 1)*(f + 2)
Let d = -38 - -41. Suppose -4*q + 0*u = -d*u + 3, 4*q + 1 = u. Factor q + 1/2*j**2 + 1/2*j.
j*(j + 1)/2
Let z(y) = -y + 11. Let g be z(8). Factor a**g - 8 + 8 - a.
a*(a - 1)*(a + 1)
Let o = -1/493 - -7895/3451. What is c in o + 16/7*c + 4/7*c**2 = 0?
-2
Let g(z) = z**3 + z**2 + z + 3. Let t be g(0). Suppose -4*c + 15 = v - 2*v, -5*v - 24 = -t*c. Factor -18/7*n**c + 2*n**2 + 10/7*n**4 - 4/7*n - 2/7*n**5 + 0.
-2*n*(n - 2)*(n - 1)**3/7
Let n be (-4 - (1 + -1))/(-2). Suppose -r = n*r. Suppose -2*f**2 + r*f**2 + f**2 = 0. What is f?
0
Let u(j) = j**3 + 8*j**2 + j + 8. Let s be u(-8). Let l be -7 + 6 + 3 + s. Factor -1/2*y**l + 0*y + 1/2.
-(y - 1)*(y + 1)/2
Let x(r) be the third derivative of -r**7/1260 - r**6/180 - r**5/60 - r**4/24 + r**2. Let f(q) be the second derivative of x(q). Factor f(s).
-2*(s + 1)**2
Let x(p) be the first derivative of p**6/420 + p**5/105 + p**4/84 + p**2 + 3. Let n(k) be the second derivative of x(k). Factor n(s).
2*s*(s + 1)**2/7
Let r(v) be the second derivative of 1/70*v**5 + 5*v + 1/21*v**3 + 1/21*v**4 + 0 + 0*v**2. Solve r(l) = 0.
-1, 0
Let z(m) be the first derivative of -m**4/36 - m**3/6 - m**2/3 + 3*m + 3. Let w(k) be the first derivative of z(k). Factor w(s).
-(s + 1)*(s + 2)/3
Let y(h) be the second derivative of -h**7/840 + h**4/12 + 3*h. Let w(q) be the third derivative of y(q). Find t, given that w(t) = 0.
0
Let f(u) = -u**4 + 15*u**3 + 16*u**2 + 6*u - 6. Let k(a) = -a**4 + a**2 + a - 1. Let c(y) = f(y) - 6*k(y). Factor c(t).
5*t**2*(t + 1)*(t + 2)
Solve -5/3 + 1/3*j**2 - 4/3*j = 0 for j.
-1, 5
Find k such that -16/3*k**2 + 2/3*k + 8/3 + 2/3*k**5 - 4/3*k**3 + 8/3*k**4 = 0.
-4, -1, 1
Let l = -80 - -84. Let y(d) be the third derivative of 1/60*d**6 - 2*d**2 + 0*d**5 + 0*d**3 + 0*d**l + 0 + 0*d - 1/210*d**7. Let y(i) = 0. Calculate i.
0, 2
Let -3*f**2 + 3 + 4 - 5 + 2*f**2 + f = 0. What is f?
-1, 2
Let u(p) = 20*p**3 - 40*p**2 + 20*p + 5. Let t(v) = -v**4 - 19*v**3 + 40*v**2 - 20*v - 6. Let l(x) = 5*t(x) + 6*u(x). Factor l(g).
-5*g*(g - 2)**2*(g - 1)
Let z = -4 - -6. Find m such that -m**4 + 2*m**2 + m**2 - z + m**3 - m + 0*m**3 = 0.
-1, 1, 2
Suppose h - 20 = 5*g, h - 7 = 4*g + 9. Let b = 4 - h. Solve v**3 - 2*v**b + 0*v**2 + 3*v**4 - 2*v + v - v**2 = 0 for v.
-1, 0, 1
Let g(q) = q**2 + 11*q - 12. Let t be g(-12). Suppose t*w + 2/7*w**2 + 0 = 0. Calculate w.
0
Let x(o) be the second derivative of 2/45*o**6 + 0*o**2 + 0*o**5 + 0 - 1/9*o**4 + 1/63*o**7 - 1/9*o**3 - 5*o. Factor x(s).
2*s*(s - 1)*(s + 1)**3/3
Let u be (0 - 1)/((-12)/624). Let i be 1*(u/12 - 4). What is j in -2/3*j**2 + i*j**4 + 1/3*j**5 - 2/3*j**3 + 1/3*j + 1/3 = 0?
-1, 1
Let w = -9 - -7. Let s be 5*w/(-21)*3. Suppose -8/7*d**2 + s*d - 4/7 + 2/7*d**3 = 0. Calculate d.
1, 2
Solve -1/3*j - 1/3*j**2 + 2/3 = 0.
-2, 1
Let g(a) be the third derivative of -a**8/21 - 4*a**7/105 + 7*a**6/120 - a**5/60 - 7*a**2. Factor g(f).
-f**2*(f + 1)*(4*f - 1)**2
Let j(v) = -3*v**3 + 3*v**2 + 25*v + 13. Let i(n) = -20*n**3 + 20*n**2 + 175*n + 90. Let t(k) = -2*i(k) + 15*j(k). Suppose t(b) = 0. Calculate b.
-1, 3
Let w = 1 + 3. What is t in 20/7*t**3 - 6/7*t**w + 4/7*t - 18/7*t**2 + 0 = 0?
0, 1/3, 1, 2
Let i(r) be the first derivative of r**6/6 - 5*r**4/2 - 20*r**3/3 - 15*r**2/2 - 4*r + 11. Determine p, given that i(p) = 0.
-1, 4
Let x(b) be the third derivative of 0*b - 1/90*b**5 + 1/9*b**3 + 1/120*b**6 + 0 - b**2 - 1/24*b**4. Factor x(d).
(d - 1)*(d + 1)*(3*d - 2)/3
Let s = 13 + -10. Let a(q) be the second derivative of 5/21*q**s + 0 + 2/21*q**4 - 2*q + 1/7*q**2. Determine o so that a(o) = 0.
-1, -1/4
Let f(m) be the first derivative of 0*m**2 + 2 - 1/4*m**4 - 2*m + 1/6*m**3 + 3/20*m**5 - 1/30*m**6. Let z(b) be the first derivative of f(b). Factor z(h).
-h*(h - 1)**3
Factor 10*g + 5*g**3 + 15*g**2 - 20*g - 15 + 5*g.
5*(g - 1)*(g + 1)*(g + 3)
Let l(i) be the second derivative of i**5/20 + i**4/2 - 4*i**3/3 - 2*i**2 - i. Let q be l(-7). Factor 3/4*m**q + 0*m + 0 + 0*m**2.
3*m**3/4
Let p = 73 + -217/3. Let n be 16/36*3 + -1. Find u such that -n*u**2 + 0 - p*u = 0.
-2, 0
Let x(q) be the first derivative of -2*q**3/3 - 7*q**2 + 16*q - 37. Factor x(y).
-2*(y - 1)*(y + 8)
Let c(q) be the second derivative of 3*q**5/20 + q**4/2 + q**3/2 - 14*q. Factor c(g).
3*g*(g + 1)**2
Let t be ((-38)/(-8))/(32 - 31). Let -36*w**3 - 1/2 - 15/4*w**2 - 27*w**4 + t*w = 0. Calculate w.
-1, -2/3, 1/6
Let n(w) be the first derivative of 1/3*w**2 + 2/27*w**3 + 4/9*w - 1. Factor n(d).
2*(d + 1)*(d + 2)/9
Let o(y) be the second derivative of -y**6/30 - y**5/20 + y**4/12 + y**3/6 + 3*y. Factor o(u).
-u*(u - 1)*(u + 1)**2
Let b(a) be the third derivative of 1/140*a**7 + 0*a**3 - 1/20*a**5 + 0*a - a**2 + 0*a**4 + 0 + 1/80*a**6. Factor b(c).
3*c**2*(c - 1)*(c + 2)/2
Let q(y) = 2*y - 15*y**4 - 49*y**3 - 6 + 4*y**4 + 41*y**3 + 5*y**2. Let o(m) = -m**4 - m**3 - 1. Let t = 0 + 1. Let b(s) = t*q(s) - 6*o(s). Factor b(x).
-x*(x - 1)*(x + 1)*(5*x + 2)
Let o be -4 + (-1 - 1 - (-4 - 4)). Solve 1/5*s**3 + 0 + 1/5*s**o + 0*s = 0 for s.
-1, 0
Let u(t) be the third derivative of -t**7/630 + t**5/180 - 3*t**2. Determine w, given that u(w) = 0.
-1, 0, 1
Let k(p) = p**5 - 2*p**4 - 3*p**3 + 3*p**2 + 2*p - 2. Let r(j) = -j**4 - j**3 + j**2 + j - 1. Let t(b) = 3*k(b) - 3*r(b). Factor t(d).
3*(d - 1)**3*(d + 1)**2
Let y(b) be the second derivative of b**8/1680 - b**6/360 + b**3/6 + 4*b. Let i(r) be the second derivative of y(r). What is g in i(g) = 0?
-1, 0, 1
Let c(s) be the first derivative of 5*s**3/3 - 9*s**2 - 8*s - 37. Let c(w) = 0. What is w?
-2/5, 4
Factor 1/4*f**2 + 0*f + 0 + 0*f**3 - 1/4*f**4.
-f**2*(f - 1)*(f + 1)/4
Let l(k) be the second derivative of 5*k**4/12 - 25*k**3/6 + 27*k. Solve l(z) = 0 for z.
0, 5
Let p(z) be the third derivative of 0*z + 1/12*z**4 + 3/16*z**6 - 1/5*z**5 - z**2 + 0 + 0*z**3 - 5/84*z**7. Find k, given that p(k) = 0.
0, 2/5, 1
Let i(t) be the first derivative of -6*t + t**3 + 9/2*t**2 - 4 - 9/4*t**4 + 3/5*t**5. Find o, given that i(o) = 0.
-1, 1, 2
Let h(z) be the second derivative of -z**6/10 + 4*z**5/5 - 13*z**4/6 + 8*z**3/3 - 3*z**2/2 - 26*z. Find w such that h(w) = 0.
1/3, 1, 3
Let a(i) be the second derivative of i**5/10 - 4*i**3 - 16*i**2 - 44*i. Find y such that a(y) = 0.
-2, 4
Factor -16/9 + 40/3*z + 250/9*z**3 - 100/3*z**2.
2*(5*z - 2)**3/9
Let b = -23 + 26. What is w in 4/5*w**2 + 0*w + 0 - 2/5*w**b = 0?
0, 2
Let h = 28/5 - 79/15. Factor -1/3*l + h*l**2 + 0.
l*(l - 1)/3
Let z = -1 - -3. Suppose 3*w = -z*i - 2, 0*i + 6 = 2*i - w. Determine s, given that 0*s**2 + 3*s**3 - 4*s**4 + 3*s**4 - 3*s**i + s = 0.
0, 1
Suppose -21*b**3 - 14*b + 90*b**4 + 2*b - 8*b + 106*b**3 + 25*b**5 = 0. Calculate b.
-2, -1, 0, 2/5
Let h(k) = -k**3 - 5*k**2 + 5*k + 6. Let t be h(-6). Determine v so that -2 + 2*v**3 - 2 + 3*v**4 - 4*v**3 + t*v - 9*v**2 = 0.
-2, 2/3, 1
Let l = -199/8 - -25. Let p(v) be the second derivative of 0 - 1/48*v**4 + l*v**2 + 0*v**3 - 2*v. Factor p(u).
-(u - 1)*(u + 1)/4
Let j(p) = -p**3 + 9*p**2 + 10*p. Let m be j(10). Let c(s) be the third derivative of m*s**3 + 1/6*s**4 - 3*s**2 + 0*s + 0 - 1/30*s**5. Factor c(l).
-2*l*(l - 2)
Let h(j) be the third derivative of -j**2 - 1/180*j**6 + 1/36*j**4 + 0 + 0*j**3 - 1/90*j**5 + 0*j + 1/315*j**7. Factor h(i).
2*i*(i - 1)**2*(i + 1)/3
Let l(k) be the third derivative of -1/180*k**5 + 1/12*k**4 - 1/2*k**3 - 5*k**2 + 0 + 0*k. Factor l(i).
-(i - 3)**2/3
Let x(u) be the first derivative of u**3/4 - 3*u/4 - 11. Suppose x(n) = 0. What is n?
-1, 1
Let i(j) be the first derivative of 49*j**6/48 + 77*j**5/40 + j**4 + j**3/6 - 16. Solve i(u) = 0.
-1, -2/7, 0
Let h(b) = b**3 - 4*b**2 + 11*b + 4. Let a(z) = z + 1. Let i(k) = 6*a(k) - h(k). Determine j, given that i(j) = 0.
1, 2
Let x(b) be the third derivative of b**5/420 + b**4/21 + 8*b**3/21 + 5*b**2. Find c, given that x(c) = 0.
-4
Suppose -3*k + 36 = k. Suppose 3*a + 4*h