(p) = 0. What is p?
-2, -1, 1
Solve 26*d**2 + 6*d + 12*d**2 - 24*d**2 - 8 = 0.
-1, 4/7
Let m = 128 + -125. Let y(x) be the second derivative of 3*x - 2/3*x**2 + 1/18*x**4 + 1/9*x**m + 0. Let y(f) = 0. Calculate f.
-2, 1
Let a(w) be the first derivative of -3/4*w**3 + 5/16*w**4 + 7/8*w**2 - 1/2*w - 1/20*w**5 - 7. Factor a(f).
-(f - 2)*(f - 1)**3/4
Suppose 21 = x + 6*x. Factor 0*f**2 + 1/4*f**4 - 1/4*f**x + 0 + 0*f.
f**3*(f - 1)/4
Let d = 0 - -4. Let y be 104/40 + d/10. Factor 1/3*z**y + 0 - 1/3*z**2 + 0*z.
z**2*(z - 1)/3
Let j(q) be the first derivative of -q**7/630 + q**6/90 - q**5/36 + q**4/36 + q**2/2 - 2. Let a(s) be the second derivative of j(s). Factor a(f).
-f*(f - 2)*(f - 1)**2/3
Let h(p) be the first derivative of -p**8/5040 + p**6/540 - p**4/72 - p**3 - 1. Let x(i) be the third derivative of h(i). Find s, given that x(s) = 0.
-1, 1
Let a be (-806)/(-18) + 2/9. Let s be (-2)/4 + a/42. Factor -2/7*o - 2/7*o**5 - 2/7 - 2/7*o**4 + s*o**3 + 4/7*o**2.
-2*(o - 1)**2*(o + 1)**3/7
Let o = 41/3 - 383/39. Factor 0*n - 8/13*n**2 - 90/13*n**4 + 0 + o*n**5 + 48/13*n**3.
2*n**2*(n - 1)*(5*n - 2)**2/13
Let c(u) be the first derivative of -u**3/3 - u**2 + 10. Factor c(r).
-r*(r + 2)
Let i(v) = -24*v**3 - 60*v**2 - 48*v - 20. Let w(n) = -n**3 - n**2 + n - 1. Let k(p) = -i(p) + 4*w(p). Factor k(q).
4*(q + 1)**2*(5*q + 4)
Let f(x) = x**3 - x**2 - 2*x - 2. Let q(r) = -3*r**3 + 3*r**2 + 5*r + 5. Let w be 66/10 + 33/(-55). Let n(k) = w*q(k) + 15*f(k). Factor n(i).
-3*i**2*(i - 1)
Let n = -1 - -4. Suppose 4*r - 35 = -3*q, -r - 3 = 4*q - 28. Factor 3 + 6*s**3 - 3*s - 6*s**2 + n*s**4 + 0*s**3 + s**5 + 0*s - 4*s**q.
-3*(s - 1)**3*(s + 1)**2
Suppose 63*g = 69*g - 12. Suppose -r = -0*r. Factor 1/2*h + 1/4*h**g + r.
h*(h + 2)/4
Let x = 653 - 651. Factor 9/7*v + 3/7*v**x + 0.
3*v*(v + 3)/7
Let v(l) be the second derivative of -l**6/10 - 6*l**5/5 - 23*l**4/4 - 14*l**3 - 18*l**2 - 9*l - 1. Find r, given that v(r) = 0.
-3, -2, -1
Suppose 0 = -24*c + 13*c + 55. Let r(z) be the first derivative of 3/16*z**4 + 1/10*z**c - 1/8*z**2 + 0*z + 3 + 0*z**3. Factor r(v).
v*(v + 1)**2*(2*v - 1)/4
Let m(r) = r**2. Let g(h) = 10*h**2 + h + 2. Let x(p) = -2*g(p) + 22*m(p). Factor x(o).
2*(o - 2)*(o + 1)
Suppose v + 2 = j - 1, v - 15 = -5*j. Let b(i) be the third derivative of 0*i**4 + 3*i**2 - 1/240*i**6 + 1/120*i**5 + 0*i**j + 0*i + 0. Factor b(a).
-a**2*(a - 1)/2
Let p = 2 - -1. Let b be (12/9 - 0)*(-18)/(-60). Find v such that b*v**p - 8/5*v**2 - 4/5 + 2*v = 0.
1, 2
Suppose 0 = 3*h - 167 + 167. Let g(q) be the first derivative of q**3 + 0*q - 3/5*q**5 - 3/4*q**4 + 1/2*q**6 + h*q**2 + 3. Factor g(z).
3*z**2*(z - 1)**2*(z + 1)
Let p be ((2 + -5)*4/6)/(-1). Let r(x) be the third derivative of 0*x + 0*x**3 - 1/84*x**6 - 1/42*x**4 - x**p + 0 + 1/30*x**5. Determine t, given that r(t) = 0.
0, 2/5, 1
Let x(p) be the first derivative of -2*p**3/51 - 26*p**2/17 - 338*p/17 + 55. Factor x(o).
-2*(o + 13)**2/17
Let a(c) be the third derivative of -3*c**2 + 1/120*c**6 + 0*c + 1/15*c**5 + 1/3*c**3 + 0 + 5/24*c**4. Find m such that a(m) = 0.
-2, -1
Let c(o) be the second derivative of -9*o**5/4 + 25*o**4/4 - 35*o**3/6 + 5*o**2/2 + 14*o. Factor c(b).
-5*(b - 1)*(3*b - 1)**2
Let f(j) be the first derivative of -2*j**3/9 - j**2 - 4*j/3 - 2. Find i such that f(i) = 0.
-2, -1
Let m(k) be the first derivative of 2*k**3/21 - 2*k**2/7 + 6. Let m(b) = 0. What is b?
0, 2
Let 3/4*z**2 + 6*z + 12 = 0. Calculate z.
-4
Let h(n) be the first derivative of -n**5/5 + n**4/4 + n**3 - n**2/2 - 2*n + 9. Let h(v) = 0. Calculate v.
-1, 1, 2
Let w(i) = 21*i - 9. Let k(b) = 5*b - 2. Let u(m) = -18*k(m) + 4*w(m). Let o(l) = -l**2 - 19*l - 1. Let d(j) = 2*o(j) - 7*u(j). Find x, given that d(x) = 0.
1
Let y be ((-20)/(-3))/((-4)/(-6)). Suppose -5*u - 7 = a, u + y = 4*a - 4. Solve 0*g**a - 4/11*g**2 + 0*g + 2/11*g**4 + 2/11 = 0.
-1, 1
Let a(i) = 3*i**3 - i**2 - 6*i - 2. Let f(x) = -5*x**3 + x**2 + 9*x + 3. Let g(z) = -8*a(z) - 5*f(z). Let g(n) = 0. Calculate n.
-1
Let p = -127 + 382/3. Let -1/3*d**2 + 2/3 - p*d = 0. What is d?
-2, 1
Let h(v) = -19*v**3 + 32*v**2 + 35*v - 11. Let b(u) = 10*u**3 - 16*u**2 - 18*u + 6. Let k(o) = -5*b(o) - 2*h(o). Factor k(p).
-4*(p - 2)*(p + 1)*(3*p - 1)
Suppose 5*c - 6 + 1 = 0. Let n(v) = -7*v**3 + 4*v**2 - v + 4. Let f(y) = y**3 - y**2 + y - 1. Let a(g) = c*n(g) + 4*f(g). Factor a(m).
-3*m*(m - 1)*(m + 1)
Let m(v) be the second derivative of -3/8*v**4 - 3/40*v**5 + 0 + 0*v**3 + 0*v**2 - 4*v. Factor m(q).
-3*q**2*(q + 3)/2
Suppose 8*x - 5 = 3*x. Let b = x + 0. Determine n, given that -3/2*n**2 - b - 5/2*n = 0.
-1, -2/3
Let z(i) be the third derivative of i**8/2240 - i**7/420 + i**6/240 - i**4/6 + i**2. Let p(c) be the second derivative of z(c). Factor p(v).
3*v*(v - 1)**2
Let p(u) be the first derivative of 2*u**5/85 + u**4/17 - 2*u**2/17 - 2*u/17 - 27. Factor p(z).
2*(z - 1)*(z + 1)**3/17
Factor -1/5*s**2 + s**4 - 1/5*s + 3/5*s**3 + 2/5*s**5 + 0.
s*(s + 1)**3*(2*s - 1)/5
Let p = -27528/43 + 640. Let b = 355/172 - p. Let 0*l + 3/4*l**2 + b*l**3 - 9/4*l**5 - 3/4*l**4 + 0 = 0. Calculate l.
-1, -1/3, 0, 1
Let r = -1018 + 9194/9. Factor 14/9*p**4 + 0 + 4/9*p + r*p**3 + 22/9*p**2.
2*p*(p + 1)**2*(7*p + 2)/9
Let c = 1379 + -9635/7. Factor c + 12/7*x + 2/7*x**2.
2*(x + 3)**2/7
Suppose -3*j = -j - 4. Factor -r**3 + 0*r**3 + 2*r**j - r**3.
-2*r**2*(r - 1)
Suppose 0 = 3*f - 0*f. Let 2/3*o**3 + f - 5/3*o**4 + 0*o**2 + 0*o = 0. What is o?
0, 2/5
Let k = 51 + -48. Let s be (2/(-14))/((-2)/4). Factor 2/7*y - s*y**k + 0 + 2/7*y**2 - 2/7*y**4.
-2*y*(y - 1)*(y + 1)**2/7
Let j be (13 - 17)*10/(-2). Let v be 8/20 - (-7)/j. Suppose v*a + 1/2 + 0*a**2 - 1/4*a**3 = 0. Calculate a.
-1, 2
Let f(i) be the second derivative of i**6/80 + i**5/40 - i**4/16 - i**3/4 - 4*i**2 + 4*i. Let d(k) be the first derivative of f(k). Factor d(o).
3*(o - 1)*(o + 1)**2/2
Let b(w) = -w**2 + 6*w - 3. Let p be b(5). Suppose -c - 2*c**4 - 15*c**3 + 7*c**p + 8*c**4 + 3*c**4 = 0. Calculate c.
0, 1/3, 1
Let k = 13 + -10. Suppose -3*s**3 + 4*s**2 + k + 19*s**3 - 7 - 16*s = 0. Calculate s.
-1, -1/4, 1
Let n(q) = 2*q**3 - 13*q**2 - 9*q + 17. Let j be n(7). Factor 0 - 3/7*a**4 - 3/7*a**j + 0*a - 1/7*a**5 - 1/7*a**2.
-a**2*(a + 1)**3/7
Let p(t) = t**3 + 10*t**2 - t + 11. Let k be p(-10). What is u in -2*u**2 + 15*u**3 - 25*u**2 + k*u - 6 + 0*u**4 - 3*u**4 + 0*u**4 = 0?
1, 2
Suppose 5*l - 10 = 10. Let k(a) be the first derivative of -1/4*a**3 + 1/16*a**l + 1 + 1/4*a**2 + 0*a. Let k(v) = 0. Calculate v.
0, 1, 2
Let i(q) be the second derivative of -3*q**5/10 + 3*q**4/4 + q**3 + 8*q. Factor i(s).
-3*s*(s - 2)*(2*s + 1)
Let m(n) be the third derivative of n**8/2240 + n**7/280 + n**6/120 + n**4/6 - 6*n**2. Let v(c) be the second derivative of m(c). Factor v(k).
3*k*(k + 1)*(k + 2)
Let y(s) = 8*s**4 - 5*s**4 - 7*s**3 + 0*s**4 - 3*s**2 + 3*s - 4*s**4 - 3. Let u(v) = 6*v**3 + 2*v**2 - 2*v + 2. Let l(r) = 3*u(r) + 2*y(r). Factor l(o).
-2*o**3*(o - 2)
Let k(q) be the second derivative of q**5/10 + 5*q**4/18 - 2*q**3/9 - 6*q - 2. Factor k(z).
2*z*(z + 2)*(3*z - 1)/3
Let z be (3/42)/(2/8). Let v be 1*35/7 - (-2 - -2). Factor -z*i**2 + 2/7*i**4 + 0*i + 2/7*i**v + 0 - 2/7*i**3.
2*i**2*(i - 1)*(i + 1)**2/7
Suppose 2*x**3 - 7*x**4 - 2*x + x + x + 7*x**2 - 2*x = 0. What is x?
-1, 0, 2/7, 1
Let v(q) = 4*q**2 - q + 1. Let d be v(2). Suppose -2 = -3*l + b - 1, 5*l + b = d. Determine j so that -4*j**3 + l - 112*j**4 - 2 + 22*j**2 + 4*j = 0.
-2/7, -1/4, 0, 1/2
Let m(k) = 5*k + 33. Let d be m(-6). Let n(x) be the third derivative of 1/20*x**5 + 0*x + 0 + 1/4*x**4 - x**2 + 1/2*x**d. Factor n(a).
3*(a + 1)**2
Find r such that 2*r + 2/3*r**3 + 0 + 8/3*r**2 = 0.
-3, -1, 0
Let u(g) = -g**2 - 11*g - 4. Let z be u(-10). Suppose -4 - 4 = -5*q - 4*r, -3*r + z = 2*q. Let q + 2/9*v**3 - 4/9*v**2 + 2/9*v = 0. Calculate v.
0, 1
Let a(o) be the first derivative of -o**6/120 + o**5/60 + o**4/12 - 5*o**2/2 - 5. Let p(i) be the second derivative of a(i). Factor p(l).
-l*(l - 2)*(l + 1)
Let z(n) = 2*n**2 + n - 2. Let c be z(-3). Let j = -13 + c. Let j*r + 0 - 1/2*r**2 + 2*r**3 - 3/2*r**4 = 0. What is r?
0, 1/3, 1
Factor -3/5 + 4/5*u - 1/5*u**2.
-(u - 3)*(u - 1)/5
Factor -18*s**3 + 4*s**2 - 14*s + 26*s + 6*s**3 - 4*s**4.
-4*s*(s - 1)*(s + 1)*(s + 3)
Let o(j) be the third derivativ