*(x + 2)/6
Let x(a) be the third derivative of -a**7/10 + 37*a**6/40 - 59*a**5/20 + 35*a**4/8 - 3*a**3 + 22*a**2. Suppose x(f) = 0. Calculate f.
2/7, 1, 3
Let l(h) be the third derivative of 0 + 5*h**2 + 0*h**6 + 0*h**4 + 0*h - 1/525*h**7 + 0*h**5 + 1/840*h**8 + 0*h**3. Factor l(q).
2*q**4*(q - 1)/5
Let i be (-3)/3*-5 + -3. Find n, given that -4*n + i*n**4 - n**3 + 3*n**3 + 2*n + 6*n**2 - 8*n**3 = 0.
0, 1
Let l(y) be the second derivative of 1/24*y**4 + 0*y**5 - 1/24*y**3 + 1/168*y**7 + 0*y**2 + 3*y - 1/60*y**6 + 0. Suppose l(a) = 0. Calculate a.
-1, 0, 1
Let o = -464/91 - -70/13. Factor 8/7*l**3 - 8/7*l + 2/7*l**2 - o.
2*(l - 1)*(l + 1)*(4*l + 1)/7
Let g = 754 - 17339/23. Let l = 67/161 - g. Factor l - 2/7*m - 2/7*m**5 - 4/7*m**2 + 4/7*m**3 + 2/7*m**4.
-2*(m - 1)**3*(m + 1)**2/7
Factor -2/11*i**2 - 2/11 - 4/11*i.
-2*(i + 1)**2/11
Suppose -4*l + 10 - 6 = 0. Let n = 21 - 9. Factor n*v - 2 - 2*v**2 + l - 15*v.
-(v + 1)*(2*v + 1)
Suppose 0 = -0*b + b - 4*p - 36, 0 = 2*b - p - 86. Let k be 35/b + (-7)/28. Factor 0 + 24/11*a**3 + k*a**2 + 14/11*a**4 - 4/11*a.
2*a*(a + 1)**2*(7*a - 2)/11
Let m(c) be the second derivative of -11*c**5/10 - 34*c**4/3 - 37*c**3 - 18*c**2 + c - 28. Determine b so that m(b) = 0.
-3, -2/11
Suppose 0*n = 5*n - b + 3, -2 = -2*n + 2*b. Let x(t) = -4*t**3 - t**2 + t + 1. Let g be x(n). Factor 2/7*c**g + 8/7*c**4 + 16/7 + 2/7*c**5 - 20/7*c**2 - 8/7*c.
2*(c - 1)**2*(c + 2)**3/7
Let f(q) = 2*q**2 + 39*q + 89. Let h be f(-17). Suppose -2*v**h - v**2 + 0 + 0*v - 1/2*v**5 - 5/2*v**3 = 0. What is v?
-2, -1, 0
Let i(w) be the second derivative of w**4/36 + 13*w**3/54 + 2*w**2/9 + 2*w. Factor i(k).
(k + 4)*(3*k + 1)/9
Factor c**3 - 4*c**3 + 5*c**2 - 43*c + 31*c + 7*c**2.
-3*c*(c - 2)**2
Factor 6*q**3 + q - 4*q - 2*q**5 - 2*q**5 + q**5.
-3*q*(q - 1)**2*(q + 1)**2
Factor -7/2*f**4 + 0*f - 1/2*f**2 - 3/2*f**5 + 0 - 5/2*f**3.
-f**2*(f + 1)**2*(3*f + 1)/2
Let o(i) = 9*i**4 - 5*i**3 - 11*i**2 + 5*i + 10. Let s(f) = -125*f**4 + 70*f**3 + 155*f**2 - 70*f - 140. Let u(n) = 55*o(n) + 4*s(n). Factor u(h).
-5*(h - 2)*(h - 1)*(h + 1)**2
Solve -2/7*i + 0 + 6/7*i**2 - 6/7*i**3 + 2/7*i**4 = 0.
0, 1
Let m(p) be the first derivative of p**5/15 - p**4/6 - p**3/9 + p**2/3 - 2. Suppose m(u) = 0. What is u?
-1, 0, 1, 2
Suppose 7 = 4*u - f, -10*u + 5*u - 2*f + 12 = 0. Find h such that -2/5 + 1/5*h + 3/5*h**u = 0.
-1, 2/3
Let v(q) be the second derivative of q**5/50 + q**4/15 + q**3/15 - 3*q - 2. Let v(t) = 0. Calculate t.
-1, 0
Let w(n) be the third derivative of n**7/840 + n**6/240 - 3*n**2. Factor w(g).
g**3*(g + 2)/4
Let x(h) = -h**2 - 4*h + 1. Let z(w) = -w. Let l(y) = -x(y) + 4*z(y). Find g, given that l(g) = 0.
-1, 1
Let h(q) be the second derivative of q**8/840 - q**6/60 - q**5/30 - q**3/6 - 4*q. Let s(g) be the second derivative of h(g). Factor s(f).
2*f*(f - 2)*(f + 1)**2
Suppose -m + 5 = -2*q, -q + 0 = -m + 4. Solve -5*y**4 - y**m + y**5 + 2*y**4 + 3*y**3 + 0*y**4 = 0 for y.
0, 1, 2
Suppose -u = u - 6. Suppose -3*h = 3*j - 12, -5*j + h = 4*h - 16. Factor -32*o - 4 + 4 - 1 - 24*o**j - 8*o**u - 15 - o**4.
-(o + 2)**4
Let s(h) = -3*h**5 + 8*h**4 - 2*h**3 + 5*h + 8. Let m(j) = -j**5 + 3*j**4 - j**3 + 2*j + 3. Let p(i) = 8*m(i) - 3*s(i). Find c, given that p(c) = 0.
-1, 0, 1
Suppose -5*a - 20 = 0, -2*q - q - 56 = 5*a. Let b be q/(-10)*(-55)/(-77). What is t in 2/7*t**3 - b*t**2 + 6/7*t - 2/7 = 0?
1
Let f = -324 - -326. Solve 0 + 1/3*i + 1/3*i**f = 0.
-1, 0
Let z(u) = 5*u + 32*u**2 - 33*u**2 - u. Let w be z(3). Factor 10/3*y + 4/3 + 2/3*y**2 - 4/3*y**w.
-2*(y - 2)*(y + 1)*(2*y + 1)/3
Let y = 3 + 2. Let m(q) be the second derivative of -q**2 + 5/3*q**3 + q - 5/3*q**4 + q**y + 0 - 1/3*q**6 + 1/21*q**7. Factor m(o).
2*(o - 1)**5
Let d(s) be the first derivative of -s**7/63 - s**6/9 - 3*s**5/10 - 7*s**4/18 - 2*s**3/9 - 6*s - 3. Let x(c) be the first derivative of d(c). Factor x(z).
-2*z*(z + 1)**3*(z + 2)/3
Suppose -5*m - 8 = 2*t, -m + 3*m - 20 = 5*t. Suppose m*h + 0*h**3 + 4/5*h**2 - 2/5*h**4 - 2/5 = 0. What is h?
-1, 1
Let v(w) = -w**2 + 6*w - 2. Let a be v(3). Let n(g) = -g**3 + 6*g**2 + 6*g + 9. Let c be n(a). Factor 1/2*m - 1/4*m**c - 1/4.
-(m - 1)**2/4
Let r = 8 - 5. Factor 7*f**2 - r*f**3 + 3 + 7*f**3 + 2*f - 4.
(f + 1)**2*(4*f - 1)
Let v = 381 - 17144/45. Let w(u) be the third derivative of -2*u**2 + 0*u + 1/180*u**6 + 0 + 1/36*u**4 + v*u**5 + 0*u**3. Suppose w(g) = 0. What is g?
-1, 0
Let c(i) be the second derivative of i**5/50 - i**4/10 + i**3/5 - i**2/5 + 65*i. Factor c(u).
2*(u - 1)**3/5
Let s(u) be the first derivative of -3*u**5/20 + 9*u**4/8 - 9*u**3/4 + 9. Factor s(h).
-3*h**2*(h - 3)**2/4
Let m(c) be the second derivative of c**6/360 - c**5/180 - c**4/72 + c**3/18 + 3*c**2/2 + 2*c. Let k(o) be the first derivative of m(o). Factor k(w).
(w - 1)**2*(w + 1)/3
Let b = 2 + 5. Solve b*n - 5*n - 11*n**2 + 8*n**3 + 9*n**4 + 12*n**4 = 0 for n.
-1, 0, 2/7, 1/3
Let g(c) be the third derivative of c**8/84 - 2*c**7/105 - c**6/30 + c**5/15 + 36*c**2. Suppose g(v) = 0. Calculate v.
-1, 0, 1
Let j(d) be the second derivative of 3*d**2 + 0 + 3/40*d**5 + 2*d**3 + 2*d + 5/8*d**4. Find i such that j(i) = 0.
-2, -1
Suppose 3 = t + 4*t + s, -4*t + 6 = 2*s. Let n be (t - 1)/((-1)/(-7)). Let x(h) = h**2 + 2*h. Let g(c) = 3*c**2 + 7*c. Let z(u) = n*x(u) + 2*g(u). Factor z(q).
-q**2
Let i be ((-2)/(-6))/((-19)/(-532)). Factor -6*z - i*z**3 - 2/3*z**5 - 4*z**4 - 4/3 - 32/3*z**2.
-2*(z + 1)**4*(z + 2)/3
Find y such that 9/2*y - 1 - 7/2*y**2 = 0.
2/7, 1
Let m = 0 + 0. Let d be m - 4*4/(-40). What is p in -d*p**2 + 4/5 + 2/5*p = 0?
-1, 2
Let 0 + 1/5*x**2 - 1/5*x = 0. What is x?
0, 1
Let v(i) be the first derivative of -i**4/12 + i**3/6 + 4*i - 1. Let k(u) be the first derivative of v(u). Factor k(b).
-b*(b - 1)
Let p = -3 - -7. Suppose -5*z - 4*c = 0, z = -15*c + 14*c. Suppose 1/5*t**2 - 2/5*t**3 + 1/5*t**p + z*t + 0 = 0. What is t?
0, 1
Factor -8925*r**2 + 8926*r**2 + 6*r**3 - r - 4*r**3.
r*(r + 1)*(2*r - 1)
Suppose -2*g = -27 + 5. Let s = 21 - g. Let 8*m**3 + s + 6*m**3 - 14*m - 14 + 4*m**2 = 0. What is m?
-1, -2/7, 1
Let f(m) = 10*m**3 + 16*m**2 - 14*m - 9. Let a(c) = c**3 + c**2 - c. Let i(b) = -22*a(b) + 2*f(b). Let i(p) = 0. What is p?
-1, 3
Let c(g) be the second derivative of g**8/378 - g**7/189 + g**6/540 - 3*g**2/2 + 2*g. Let j(q) be the first derivative of c(q). Factor j(x).
2*x**3*(x - 1)*(4*x - 1)/9
Let n(z) be the second derivative of z**5/60 - z**3/6 + z**2/3 - 21*z. Factor n(w).
(w - 1)**2*(w + 2)/3
Let a(n) be the second derivative of -n**6/30 + n**5/20 + n**4/12 - n**3/6 + 13*n. Factor a(s).
-s*(s - 1)**2*(s + 1)
Let a be (-7 + 0)*12/(-14). Let h = 9 - a. Factor -13*z - 9*z**4 + 12*z**5 - 3*z**h + 13*z.
3*z**3*(z - 1)*(4*z + 1)
Let v(u) be the second derivative of u**10/105840 - u**9/17640 + u**8/7840 - u**7/8820 - 7*u**4/12 - 5*u. Let t(r) be the third derivative of v(r). Factor t(n).
2*n**2*(n - 1)**3/7
Let j(q) be the first derivative of 4*q**3/27 - 2*q**2/9 - 8*q/9 - 44. Factor j(d).
4*(d - 2)*(d + 1)/9
Let q = -4 + 8. Factor -5*i**4 - 4*i - 2*i**4 - 3*i**q - 24*i**3 - 18*i**2.
-2*i*(i + 1)**2*(5*i + 2)
Let h = -2 + 5. Factor 8*i - h*i - i**2 + 4 - 5*i.
-(i - 2)*(i + 2)
Let w = 377/120 + -29/24. Let u = -8/5 + w. Factor -1/3 - u*y**2 - 2/3*y.
-(y + 1)**2/3
Let f = 87/128 - -29343/896. Factor f*v**2 + 8/7 - 80/7*v - 162/7*v**3.
-2*(v - 1)*(9*v - 2)**2/7
Let x be 3 + (-5 - -5 - -1). Suppose 0 + 1/3*w**3 + 23/3*w**x + 0*w + 20/3*w**5 - 2/3*w**2 = 0. What is w?
-1, -2/5, 0, 1/4
Factor -2/7*v**4 + 0 - 2/7*v**2 + 0*v + 4/7*v**3.
-2*v**2*(v - 1)**2/7
Let i = 18 + -14. Let m(f) be the second derivative of 0 + 1/36*f**i - f - 1/3*f**2 + 1/18*f**3. Find y, given that m(y) = 0.
-2, 1
Let o be 91/104 - (-2)/16. Let x(l) be the first derivative of -1/12*l**3 - 1/4*l**2 - o - 1/4*l. What is m in x(m) = 0?
-1
Let x(w) be the first derivative of 0*w + 0*w**3 - 1 + 0*w**4 + 1/2*w**2 - 1/240*w**5. Let k(r) be the second derivative of x(r). Determine v so that k(v) = 0.
0
Let g = 1403/440 - -1/88. Factor -8/5 + 14/5*d**3 + g*d + 38/5*d**2.
2*(d + 1)*(d + 2)*(7*d - 2)/5
Let b = -309/568 - 1367903/2840. Let z = -479 - b. Factor 12*m**3 - 56/5*m**2 + z*m - 18/5*m**4 + 0.
-2*m*(m - 2)*(3*m - 2)**2/5
Let g(o) be the first derivative of -o**4/4 + 4*o**3/3 + 11*o**2/2 