 0*k + 0 = 0.
-1, 0, 1
Let -2/15*c**3 - 4/5*c**2 - 8/5*c - 16/15 = 0. Calculate c.
-2
Suppose 4*p + 3*p - 14 = 0. Let c(l) be the second derivative of 0 - 1/48*l**4 + 1/24*l**3 + 1/8*l**p - 1/80*l**5 - 3*l. Suppose c(f) = 0. What is f?
-1, 1
Solve 4/7*w**5 + 0 - 20/7*w**4 + 36/7*w**3 + 8/7*w - 4*w**2 = 0 for w.
0, 1, 2
Let p(r) = -r**3 - 7*r**2 - 6*r. Let t be p(-6). Determine h so that -h**2 - h**3 + t*h**2 + 2*h**2 + 0*h**3 = 0.
0, 1
Let t(n) be the third derivative of -n**5/30 + n**4/4 - 2*n**3/3 + 12*n**2. Solve t(u) = 0 for u.
1, 2
Suppose -2*z = -1 - 3. Let -7*r - 9*r**z + 3*r - 3*r**3 - 2*r = 0. Calculate r.
-2, -1, 0
Let j = 0 + 4. Determine u, given that 0 + 4*u + 0*u**3 + 1 + 2*u**j - 3 - 4*u**3 = 0.
-1, 1
Let i(f) be the second derivative of -f**7/2940 + f**6/315 + f**5/140 + 5*f**4/12 + f. Let v(g) be the third derivative of i(g). Determine y so that v(y) = 0.
-1/3, 3
Factor -2/5*n**3 - 2/5 - 6/5*n**2 - 6/5*n.
-2*(n + 1)**3/5
Let o be (9/3 - 3)*(-4)/(-8). Solve o*f + 0*f**2 + 0 - 10/7*f**4 + 4/7*f**3 = 0 for f.
0, 2/5
Let u(y) be the second derivative of 1/168*y**7 - 1/40*y**5 + 0 + 1/8*y**2 + 1/120*y**6 + 1/24*y**3 - 1/24*y**4 - 3*y. Factor u(f).
(f - 1)**2*(f + 1)**3/4
Let m(z) = -z**5 - z**4 + z**3 + z**2 - 1. Let a(k) = 11*k**5 - 59*k**4 - 26*k**3 + 44*k**2 - 4. Let b(s) = -a(s) + 4*m(s). Solve b(n) = 0.
-1, 0, 2/3, 4
Let l(s) be the third derivative of -1/32*s**4 + 1/12*s**3 + 0 + 0*s - 4*s**2 + 1/240*s**5. Factor l(r).
(r - 2)*(r - 1)/4
Let z = 5 + -16. Let i(g) = -g**3 + 4*g**2 - 3*g - 4. Let k(s) = 6*s**3 - 21*s**2 + 16*s + 21. Let n(l) = z*i(l) - 2*k(l). What is w in n(w) = 0?
-2, -1, 1
Let h = 138 + -2069/15. Let s(r) be the first derivative of 0*r + 1/6*r**2 + 1/9*r**3 - 1/12*r**4 - h*r**5 - 1. Factor s(n).
-n*(n - 1)*(n + 1)**2/3
Let o(y) be the second derivative of y**5/120 + y**2/2 + 3*y. Let n(b) be the first derivative of o(b). Factor n(p).
p**2/2
Find z such that -3*z**2 - z - 6 - 3*z + 4*z**2 + 10 = 0.
2
Let t(c) = -3*c**5 + 10*c**4 - 8*c**2 + 5*c. Let s(g) = -5*g**5 + 20*g**4 - 15*g**2 + 10*g. Let o(p) = 2*s(p) - 5*t(p). Find j such that o(j) = 0.
-1, 0, 1
Let o(k) be the first derivative of -2*k**5/5 + 10*k**3/3 - 8*k + 3. Suppose o(f) = 0. Calculate f.
-2, -1, 1, 2
Let t be (-2)/(-36)*-4*-6. Find h such that 0 + 1/3*h + 2*h**3 + 1/3*h**5 + t*h**4 + 4/3*h**2 = 0.
-1, 0
Let w = 5937/11 + -539. Suppose -6/11*s**2 - 16/11*s - w = 0. What is s?
-2, -2/3
Let i = 92/57 - 18/19. Solve 1/3 + 2/3*f**3 + i*f**2 - f**4 - f + 1/3*f**5 = 0 for f.
-1, 1
Let p(k) be the first derivative of -k**6/120 + k**5/20 - k**4/8 + k**3/6 + k**2 + 3. Let f(b) be the second derivative of p(b). Find c such that f(c) = 0.
1
Solve 3/7*f**5 + 0 - 6/7*f**4 + 0*f**2 + 3/7*f**3 + 0*f = 0 for f.
0, 1
Let r(d) be the first derivative of -5*d**6/6 - 2*d**5 + 5*d**4 + 10*d**3/3 - 15*d**2/2 + 26. Solve r(j) = 0.
-3, -1, 0, 1
Let y(x) = x + 6. Let c(d) = -d - 5. Let r(f) = 2*c(f) + 3*y(f). Let j be r(-8). Factor 3/4*i**2 + j - 3/4*i.
3*i*(i - 1)/4
Let x(m) be the first derivative of -1/4*m**2 + 4 + 0*m + 1/6*m**3. Factor x(z).
z*(z - 1)/2
Let u(t) be the first derivative of 6/7*t**4 - 16/7*t - 52/21*t**3 - 3 + 24/7*t**2 - 4/35*t**5. Determine c so that u(c) = 0.
1, 2
Suppose -5*s = 2*u - 8 - 2, -4*s + 8 = -3*u. Let v(y) be the third derivative of -7/120*y**5 - y**2 + 0 + u*y + 0*y**3 + 1/24*y**4. Find a such that v(a) = 0.
0, 2/7
Let l = 46 - 26. Suppose 3*k = -u + l, 4*u - 44 = -k - 2*k. Factor -6*s**5 + 10*s**4 - 4*s**3 - u*s**2 + 8*s**2.
-2*s**3*(s - 1)*(3*s - 2)
Let a(i) be the second derivative of 3*i**5/10 + 5*i**4/6 - 2*i**3/3 + 12*i. Factor a(l).
2*l*(l + 2)*(3*l - 1)
Determine t, given that 10*t**3 + 9*t**5 - 19*t**3 - 3*t**2 - 3*t**4 + 6*t**4 = 0.
-1, -1/3, 0, 1
Let c(d) be the third derivative of 1/270*d**6 - 1/945*d**7 + 0*d + 0*d**4 + 0*d**3 - 3*d**2 + 0 - 1/270*d**5. Let c(g) = 0. Calculate g.
0, 1
Let f(b) = 8*b - 16*b - 12*b**2 - 8*b**2 + 16*b**3 - 36*b**4. Let w(m) = m**4 + m**3 + m**2. Let i(v) = -f(v) - 16*w(v). Factor i(p).
4*p*(p - 1)**2*(5*p + 2)
Suppose -r = -6*r + 25. Suppose o = -o - 5*y - 4, -o + y + r = 0. Factor -6*w**o + 17*w**2 - 7*w**2 + 0 + 0 - 4*w.
-2*w*(w - 1)*(3*w - 2)
Let s(o) = -4*o - 14. Let p be s(-4). What is u in -1/6*u**3 + 0 + 0*u + 0*u**p + 1/6*u**4 = 0?
0, 1
Suppose -5*q = -4*w - 11, 5*q + 2*w = -3*w + 20. Factor 0*t - 9/5*t**2 + 3/5 - 6/5*t**q.
-3*(t + 1)**2*(2*t - 1)/5
Let v(q) = 3*q**3 - 7*q**2 - 3*q + 3. Let m(x) = -x**3 + x**2 - 1. Let a(l) = -12*m(l) - 3*v(l). Factor a(t).
3*(t + 1)**3
Let x(k) = -3*k**3 + 7*k**2 - k - 2. Let p be x(2). Factor 3/7*m - 3/7*m**3 + p*m**2 + 0.
-3*m*(m - 1)*(m + 1)/7
Factor 24/7 + 4/7*l**2 - 20/7*l.
4*(l - 3)*(l - 2)/7
Suppose -2*c = -4*z + 11 + 1, 0 = -2*z + 2*c + 8. Factor 6/7*l - 2/7*l**z - 4/7.
-2*(l - 2)*(l - 1)/7
Factor -q + 2*q**3 - 2*q**2 - q**4 - 4*q**3 + 3*q**3 + 3*q**2.
-q*(q - 1)**2*(q + 1)
Let n = 139/12 + -109/12. Factor -1 - 2*p**3 + n*p - p**2 + 2*p**4 - 1/2*p**5.
-(p - 2)*(p - 1)**3*(p + 1)/2
Let u(v) be the third derivative of -v**7/630 + v**5/30 - v**4/9 + v**3/6 + 6*v**2. Factor u(a).
-(a - 1)**3*(a + 3)/3
Let x(o) be the second derivative of -o**5/6 + o**4 - 7*o**3/9 - 2*o**2 + 25*o. Factor x(p).
-2*(p - 3)*(p - 1)*(5*p + 2)/3
Suppose 4/13*w**5 - 6/13*w**4 - 2/13*w**3 + 6/13*w**2 + 0 - 2/13*w = 0. Calculate w.
-1, 0, 1/2, 1
Let l(u) = u + 13. Let z be l(-10). Let y(h) be the first derivative of 1 - 3/2*h**z + 0*h - 1/2*h**2. Factor y(w).
-w*(9*w + 2)/2
Let h = 3438/5 - 687. What is r in 9/5*r - 6/5 - h*r**2 = 0?
1, 2
What is k in -12/5*k**2 - 8/5*k - 6/5*k**3 + 0 - 1/5*k**4 = 0?
-2, 0
Let j = 4 + -9. Let u(t) = t**2 + 4*t - 2. Let h be u(j). Factor g**3 - 2 - 2*g**3 - 3*g + 2*g**h.
(g - 2)*(g + 1)**2
Let c = -33 + 10. Let s = -10 - c. Determine u so that -11*u - s*u - 14*u**2 - 16 + 2*u**2 - 2*u**3 = 0.
-2
Let o(x) be the second derivative of x**8/7560 - x**6/810 + x**4/108 - x**3/6 + 2*x. Let s(r) be the second derivative of o(r). Find u such that s(u) = 0.
-1, 1
Let v(l) be the first derivative of 25*l**4/7 - 80*l**3/21 + 8*l**2/7 - 27. Factor v(j).
4*j*(5*j - 2)**2/7
Let i = -8 - -10. Let o(c) = -2*c**2 - 9*c**3 + 3 - 3*c**i + 3*c - 4*c**2. Let u(a) = a**3 + a**2. Let g(n) = o(n) + 6*u(n). Factor g(x).
-3*(x - 1)*(x + 1)**2
Let k(d) be the third derivative of d**5/60 + 5*d**4/12 + 3*d**3/2 + 2*d**2. Let j be k(-9). Factor j*m + 2/9 - 2/9*m**2.
-2*(m - 1)*(m + 1)/9
Suppose 14 = 5*k + 2*t, 0 = -5*k + k + t + 6. Factor 0*q - 2/11*q**k + 0 + 2/11*q**3.
2*q**2*(q - 1)/11
Let s(r) be the first derivative of -2*r**5/5 + r**2 - 3. Let j(z) = z**4 - z**3 + z**2 - z. Let g(o) = -3*j(o) - s(o). Factor g(p).
-p*(p - 1)**3
Suppose p - 2 = 6. Factor 0*i**2 + 4*i**4 - 99*i - p*i**3 - 4*i**2 + 107*i.
4*i*(i - 2)*(i - 1)*(i + 1)
Suppose -1 + 13 = 6*y. Let s(a) = a**3 + 2*a**2 - 3*a - 2. Let h be s(-2). Factor 2/7*j**h + 4/7*j**3 - 2/7 - 4/7*j + 0*j**y.
2*(j - 1)*(j + 1)**3/7
Factor -12 + 4 + 2*q**2 - 2*q**2 + 12*q - 4*q**2.
-4*(q - 2)*(q - 1)
Let n(r) = -r**3 + r**2 - r. Let u(d) = 4*d**4 - 3*d**3 - d**2 - 3*d. Let i(f) = 3*n(f) - u(f). Let i(h) = 0. What is h?
-1, 0, 1
Let l(c) be the first derivative of c**3/2 + 9*c**2/4 + 3*c + 6. Suppose l(y) = 0. Calculate y.
-2, -1
Let g(l) = l**3 - 20*l**2 - 21*l. Let q be g(21). Find h such that 0*h + q + 3/2*h**4 - 3/2*h**2 + 0*h**3 = 0.
-1, 0, 1
Let l = -38 - -1028/27. Let u = l - -77/54. Factor -u*q**3 - 3 + 9/2*q + 0*q**2.
-3*(q - 1)**2*(q + 2)/2
Factor 4/3*k**2 - 2/3*k**3 - 2/3*k**4 + 0*k + 0.
-2*k**2*(k - 1)*(k + 2)/3
Factor 2/11*b**3 + 6/11 - 6/11*b**2 - 2/11*b.
2*(b - 3)*(b - 1)*(b + 1)/11
Suppose 9*x - 15*x + 12 = 0. Let f(j) be the first derivative of 1 - 3/2*j**x + 5/6*j**3 + 1/2*j. Determine u so that f(u) = 0.
1/5, 1
Let z(q) = q + 4. Let x be z(-2). Factor x*f**3 - 4*f + 5*f - f**5 + 3*f - 5*f.
-f*(f - 1)**2*(f + 1)**2
Let g be -2 - (-1*12 - -1). Suppose 2*r - 35 = -3*s - 3*r, s + r = g. Solve -2*v**3 + 2*v**s - 4*v**4 + 4*v**4 = 0 for v.
-1, 0, 1
Factor 2/3*n**2 + 32/3 - 16/3*n.
2*(n - 4)**2/3
Let s(t) be the second derivative of t**6/45 + t**5/30 - t**4/6 - 5*t**3/9 - 2*t**2/3 + 50*t. Determine c, given that s(c) = 0.
-1, 2
Solve -5*v**2 - 2*v**2 + 17*v - 7*v - v**2 - 2 = 0 for v.
1/4, 1
Let x = -34/3 - 