 2*a**3 - 3*a**4 - a**p = 0. What is a?
-1, 0, 1
Let l = 79 - 77. Let o(s) be the third derivative of -2*s**l + 1/40*s**5 + 0 + 1/8*s**4 + 1/4*s**3 + 0*s. Factor o(t).
3*(t + 1)**2/2
Let w(v) be the first derivative of -9*v**4/8 - v**3 - 6. Let w(m) = 0. What is m?
-2/3, 0
Let i(u) = u**5 - u**4 + u**3 - u**2 + 1. Let g(b) = -b**5 + 10*b**4 + 2*b**3 - 20*b**2 + 11*b + 4. Let c(j) = -g(j) + 6*i(j). Factor c(x).
(x - 1)**3*(x + 1)*(7*x - 2)
Factor 16*n**4 - n**5 - 16*n**4 - 2*n**5.
-3*n**5
Suppose 0 = m + 4*z + 5 - 20, -2*z + 15 = -m. Let r = m - -11. Solve -r + 2*p**3 + 6 - 2*p**2 = 0.
0, 1
Factor -8/9*b**3 - 2/9 - 2/9*b**4 - 8/9*b - 4/3*b**2.
-2*(b + 1)**4/9
Let l be 8/44 + 168/44. Factor 3*p**5 + 3*p - p - p**5 - l*p**3.
2*p*(p - 1)**2*(p + 1)**2
Let d(l) be the first derivative of l**3/3 - 3*l**2 - 3*l + 1. Let b be d(7). Factor -5*i**b - 3*i**5 + 0*i**2 + 6*i**2 - 2 + 1 + i + 2*i**3.
-(i - 1)*(i + 1)**3*(3*i - 1)
Let i(t) be the first derivative of -2*t**5/5 + 2*t**3/3 - 2. Factor i(f).
-2*f**2*(f - 1)*(f + 1)
Suppose 0*r - 3*r = -459. Let v be (-2)/10 + r/315. Factor 0 + 0*g - 6/7*g**3 - v*g**2 - 6/7*g**4 - 2/7*g**5.
-2*g**2*(g + 1)**3/7
Let r(x) = 3*x**2 - 2*x + 1. Let q be r(1). Factor 12 + 4*l - 7*l + 3*l**q - 4*l - 5*l.
3*(l - 2)**2
Let o be (-1963)/(-390) - 2/6. Let p = o - 21/5. Factor p*c - 1 + 1/2*c**2.
(c - 1)*(c + 2)/2
Let n(m) be the third derivative of m**7/350 - m**6/100 - 16*m**2. Suppose n(f) = 0. What is f?
0, 2
Let i(d) be the first derivative of 4*d**6/9 + 6*d**5/5 + d**4 + 2*d**3/9 + 2. Solve i(j) = 0 for j.
-1, -1/4, 0
Find i, given that 12/7*i + 38/7*i**2 - 2*i**3 + 0 = 0.
-2/7, 0, 3
Suppose -10 = -3*q + q. Let x(d) = -d**3 + 6*d**2 - 2*d - 4. Let a be x(q). Suppose 2*v**3 - 10*v**4 - v**3 + a*v**4 = 0. Calculate v.
-1, 0
Let q(c) be the second derivative of c**7/147 - c**6/35 + c**5/70 + c**4/14 - 2*c**3/21 - 7*c + 2. Let q(z) = 0. What is z?
-1, 0, 1, 2
Suppose -3*p - p - 4*p = 0. Factor 0 + 2/5*c**3 + p*c**2 + 0*c - 2/5*c**4.
-2*c**3*(c - 1)/5
Suppose -4*v + g = 2, -8 = 2*v - 2*g - 4. Find t such that v*t**2 + 1/4*t**5 + 0*t**4 + 0*t + 0 - 1/4*t**3 = 0.
-1, 0, 1
Let p = -1 + 15/13. Factor 2/13*n + 0 + 0*n**2 - p*n**3.
-2*n*(n - 1)*(n + 1)/13
Let k(f) be the second derivative of 7*f**5/5 + 10*f**4 + 24*f**3 + 16*f**2 + f. Factor k(q).
4*(q + 2)**2*(7*q + 2)
Let d(w) = -8*w**2 + 83*w - 317. Let z(k) = 15*k**2 - 165*k + 635. Let l(y) = 5*d(y) + 3*z(y). Factor l(b).
5*(b - 8)**2
Let f(x) = -4*x**4 + 4*x**3 - 7*x**2 - 3*x. Let b(q) = -q**4 - q**2 - q. Let l(h) = -6*b(h) + 2*f(h). Solve l(a) = 0 for a.
0, 2
Let b be 3/60*3*(-10)/(-12). Let i(n) be the first derivative of b*n**2 + 1 - 1/12*n**3 + 1/2*n. Factor i(f).
-(f - 2)*(f + 1)/4
Let z(u) be the third derivative of -u**5/150 - u**4/15 - u**3/5 + 2*u**2. Determine d, given that z(d) = 0.
-3, -1
Factor 2/7*y**5 - 22/7*y**3 + 24/7*y**2 + 72/7*y + 0 - 4/7*y**4.
2*y*(y - 3)**2*(y + 2)**2/7
Let j(q) be the third derivative of q**5/270 - q**4/216 - q**3/54 + 7*q**2. Find b, given that j(b) = 0.
-1/2, 1
Suppose 57 - 30 = 9*r. Let 1/2*u**5 + 0 - 1/2*u**2 + 1/2*u**4 + 0*u - 1/2*u**r = 0. What is u?
-1, 0, 1
Let d(x) be the second derivative of -x**7/2520 - x**6/360 + x**4/18 - x**3/6 + x. Let q(l) be the second derivative of d(l). Factor q(g).
-(g - 1)*(g + 2)**2/3
Suppose b = -a, b + 1 = -2. Suppose -2*u + a*u = 3*k + 5, 2*k = -u + 5. Find n, given that k - 2/3*n**2 - 1/3*n**3 - 1/3*n = 0.
-1, 0
Suppose 0 = 4*w + 4*c - 52, 2*w - c - 21 = 2*c. Factor 7*o + 4 - 1 - 4*o - 15*o + w*o**2.
3*(2*o - 1)**2
Suppose 0 = d + 5*c - 125, 2*d - 2*c = 2*c + 194. Let q be (-4)/(-10) - 7/d. Let -q*a**2 - 2*a - 3 = 0. What is a?
-3
Let f(y) = -y**5 - y**3. Let v(w) = 2*w**5 + 14*w**3 + 6*w**2. Let j(k) = 5*f(k) + v(k). Suppose j(z) = 0. What is z?
-1, 0, 2
Let d(f) = -f + 1. Let b be d(-2). Let j(n) = n - 2. Let h be j(4). Factor -1/3*i**4 - i**h - 1/3*i - i**b + 0.
-i*(i + 1)**3/3
Let t(d) be the first derivative of -1/10*d**4 + 3/5*d**2 - 4/5*d + 4 + 0*d**3. Suppose t(m) = 0. Calculate m.
-2, 1
Let p be -1 + (3 - 40/19). Let y = p - -48/95. Factor -y*l - 4/5*l**2 + 0.
-2*l*(2*l + 1)/5
Solve -28*j**2 - 6*j**4 - 40*j + 55*j**3 - 2*j**2 + 0*j**2 + 21*j**4 = 0 for j.
-4, -2/3, 0, 1
Let y = 57/2 - 28. Find n, given that 0 - y*n - 1/2*n**2 = 0.
-1, 0
Let l(m) = -11*m**2 - 7*m + 5. Let i(a) = 5*a**2 + 4*a - 2. Let t(o) = -5*i(o) - 2*l(o). Factor t(u).
-3*u*(u + 2)
Let b(i) = -13*i**2 - 8*i + 5. Let h(z) = -8*z**2 - 5*z + 3. Let o(g) = 5*b(g) - 8*h(g). Factor o(a).
-(a - 1)*(a + 1)
Let f be 6/21 + 182/49. Suppose 4*b - 31 = -f*j + 5, 4*j + 24 = 2*b. Factor -b*x**3 - 2/5*x**5 + 16/5*x**4 - 56/5*x + 16/5 + 76/5*x**2.
-2*(x - 2)**3*(x - 1)**2/5
Let h(d) be the first derivative of d**7/14 - 3*d**6/10 + 9*d**5/20 - d**4/4 - 5*d - 6. Let i(y) be the first derivative of h(y). Factor i(f).
3*f**2*(f - 1)**3
Let q(s) be the second derivative of s**4/34 + 4*s**3/51 - 4*s**2/17 + 3*s. Find d such that q(d) = 0.
-2, 2/3
Let t(x) be the second derivative of -1/6*x**4 - 1/240*x**6 + 1/3*x**3 - 3*x + 0 + 1/24*x**5 - 2*x**2. Let m(q) be the first derivative of t(q). Factor m(l).
-(l - 2)**2*(l - 1)/2
Let v(g) be the third derivative of -g**8/252 + 2*g**6/45 - 2*g**5/45 - g**4/6 + 4*g**3/9 - 67*g**2. Suppose v(z) = 0. What is z?
-2, -1, 1
Let r(x) = 5*x**2 + x. Let n be r(-1). Suppose b - 16 = -n*u, 3*u - 25 = b - 5*b. Solve b*c**4 - 2*c**4 + 3*c**3 - c**3 = 0.
-1, 0
Let w(g) = -13*g**5 + 8*g**4 + 15*g**3 - 7. Let m(y) = 6*y**5 - 4*y**4 - 7*y**3 + 3. Let z(b) = 7*m(b) + 3*w(b). Factor z(x).
x**3*(x - 2)*(3*x + 2)
Suppose 0 = 4*n + 4*s + 132, -5*n + 3*s = 68 + 57. Let a = n - -31. Factor 3/2*d**a + 3*d**2 + 0 + 3/2*d.
3*d*(d + 1)**2/2
Let q(h) be the third derivative of h**6/1260 + h**5/210 + h**4/84 - 2*h**3/3 + h**2. Let s(r) be the first derivative of q(r). Let s(i) = 0. What is i?
-1
Let n(x) be the second derivative of -x**5/90 + x**4/54 - 8*x. Let n(a) = 0. Calculate a.
0, 1
Let m(y) be the first derivative of -y**5/45 + y**4/8 - y**3/9 - y**2 + 3. Let d(l) be the second derivative of m(l). Factor d(r).
-(r - 2)*(4*r - 1)/3
Let z = -49 + -41. Let v be z/20*(-2)/3. Find q, given that 3*q**3 + 18*q**2 - q**3 + 8 + 7*q + 2*q**v + 17*q = 0.
-2, -1/2
Let m(a) be the second derivative of -a**6/75 - 3*a**5/50 - a**4/10 - a**3/15 + 3*a. Factor m(b).
-2*b*(b + 1)**3/5
Let o(n) = 15*n**4 - 105*n**3 + 35*n**2 + 105*n - 90. Let i(m) = -2*m**4 + 15*m**3 - 5*m**2 - 15*m + 13. Let a(k) = -20*i(k) - 3*o(k). Factor a(q).
-5*(q - 2)*(q - 1)**2*(q + 1)
Let x be 74/12*(5 + 5). Let i = x + -61. Factor 0*r + i*r**2 - r**3 + 0 - 3*r**4.
-r**2*(3*r - 1)*(3*r + 2)/3
Let l(p) be the third derivative of -4*p**2 - 1/20*p**5 + 0*p - 1/40*p**6 + 1/2*p**3 + 1/8*p**4 + 0. Factor l(d).
-3*(d - 1)*(d + 1)**2
Let s(d) be the first derivative of -3/20*d**4 + 0*d + 0*d**2 + 3 - 1/5*d**3. Factor s(q).
-3*q**2*(q + 1)/5
Let d(y) be the first derivative of 1/16*y**4 + 6 - 1/2*y - 3/8*y**2 + 0*y**3. Factor d(q).
(q - 2)*(q + 1)**2/4
Let v(y) be the second derivative of 9*y**7/98 + 33*y**6/70 + 111*y**5/140 + 15*y**4/28 + y**3/7 + 13*y. Suppose v(t) = 0. What is t?
-2, -1, -1/3, 0
Let z(r) = r**3 + 5*r**2 - 2*r - 3. Let f(u) = u**3 - u + 5*u**2 + 2 - 4 - u**2. Suppose 2*n = n + 2. Let k(t) = n*z(t) - 3*f(t). Suppose k(m) = 0. What is m?
-1, 0
What is q in -1/5*q**2 + 0 + 2/5*q = 0?
0, 2
Let j = 29 + -20. Factor 12*s**4 - 3*s + 18*s**2 + j*s**2 - 15*s**3 - 18*s**3 - 3.
3*(s - 1)**3*(4*s + 1)
Let r be 1 + -4 - (-588)/192. Let y(h) be the first derivative of -r*h**4 + 0*h**2 - 1 + 0*h + 0*h**3. Let y(g) = 0. Calculate g.
0
Let r(a) be the second derivative of a**6/180 + a**5/60 - a**4/72 - a**3/18 + 8*a. Determine o, given that r(o) = 0.
-2, -1, 0, 1
Let m = -100 - -100. Let x(k) be the second derivative of -1/3*k**3 + m*k**2 + 1/10*k**5 + 0 - 4*k + 0*k**4. Let x(b) = 0. What is b?
-1, 0, 1
Let b(s) be the first derivative of 5*s**3/3 - 15*s**2/2 + 10*s - 16. Determine p, given that b(p) = 0.
1, 2
Let v = 49 + -45. Let i(d) be the second derivative of -1/18*d**3 + 0*d**2 + 0 + d - 1/36*d**v. Factor i(m).
-m*(m + 1)/3
Let p(n) = 16*n**3 + 7*n**2 - 13*n - 4. Let w(s) = s**2 + s. Let z(m) = 2*m - 9. Let c be z(5). Let t(h) = c*p(h) - 3*w(h). Factor t(i).