/7*i**2 - 4/7 + f*i - 6/7*i**3 = 0. What is i?
-1, 2/3, 1
Suppose 1/3 + 0*q**3 - 2/3*q**2 + 1/3*q**4 + 0*q = 0. Calculate q.
-1, 1
Let h(t) be the second derivative of 8*t**6/75 - 4*t**5/25 - t**4/5 + 4*t**3/15 + 2*t**2/5 - 11*t. Solve h(b) = 0.
-1/2, 1
Let n(s) be the second derivative of -s**5/10 - 13*s**4/21 + 8*s**3/21 - 6*s. Solve n(y) = 0 for y.
-4, 0, 2/7
Let s(b) be the second derivative of -7/24*b**3 - 9/80*b**5 + 0 - 4*b - 5/16*b**4 - 1/8*b**2. Solve s(u) = 0 for u.
-1, -1/3
Let p be 6*(-1 + (-6)/(-4)). Factor p - r**2 - 5 + 2*r - 6*r**3 + 6 - 7*r**2.
-2*(r + 1)**2*(3*r - 2)
Let g(c) be the second derivative of -c**7/630 - 2*c**2 - 5*c. Let n(f) be the first derivative of g(f). Solve n(j) = 0 for j.
0
Let r(q) be the second derivative of q**6/30 - q**5/2 + 11*q**4/4 - 20*q**3/3 + 8*q**2 + 15*q. Factor r(c).
(c - 4)**2*(c - 1)**2
Factor -8/11 - 2/11*l**2 - 10/11*l.
-2*(l + 1)*(l + 4)/11
Suppose 2*l = 5*k - 18, 2*k + 8 = -0*k - 3*l. Factor -2*r**2 + 5 - r**2 - 4 + k.
-3*(r - 1)*(r + 1)
Let c(o) be the first derivative of 1/7*o**2 - 4/21*o**3 + 1 + 0*o + 4/35*o**5 + 0*o**4 - 1/21*o**6. Factor c(r).
-2*r*(r - 1)**3*(r + 1)/7
Let h be 12/24 + (-18)/60. Factor 1/5*u + 3/5*u**3 + 0 + 3/5*u**2 + h*u**4.
u*(u + 1)**3/5
Let k(n) be the second derivative of n**5/90 - n**4/54 - n**3/27 + n**2/9 + 9*n. Factor k(l).
2*(l - 1)**2*(l + 1)/9
Let b(h) be the third derivative of h**6/30 + 4*h**5/35 + h**4/14 - 4*h**3/21 + 3*h**2. Suppose b(q) = 0. Calculate q.
-1, 2/7
Let d(h) be the third derivative of -h**7/6300 + h**6/900 + h**4/6 - 4*h**2. Let v(q) be the second derivative of d(q). Determine g, given that v(g) = 0.
0, 2
Let m(u) be the third derivative of u**6/84 + u**5/105 + 4*u**2. Find i such that m(i) = 0.
-2/5, 0
Solve 47 - 35*f**3 - 57 - f**2 + 11*f**2 + 35*f = 0.
-1, 2/7, 1
Let b be (-34)/(-14) + 6/(-14). Suppose 2*v + 5*a = 33, 3*v - 4*a + 2*a = b. Factor 4*z**2 - 31*z**v + 1 - 3 + 29*z**4.
-2*(z - 1)**2*(z + 1)**2
Let t(o) be the first derivative of o**5/5 - o**4/4 + o**2/2 + 5. Let x(q) = -q. Let w(h) = -t(h) - x(h). Factor w(i).
-i**3*(i - 1)
Let c(i) = -2*i**2 - 3*i + 7. Let w(f) = -9*f**2 - 15*f + 36. Let z(r) = -21*c(r) + 4*w(r). Factor z(t).
3*(t + 1)*(2*t - 1)
Suppose -6*n**3 - 30 - 38 + 77 + 27*n**2 - 30*n = 0. Calculate n.
1/2, 1, 3
Let s(d) be the second derivative of 0 + d**3 + 1/8*d**4 + 3*d**2 - 5*d. Factor s(c).
3*(c + 2)**2/2
Let x(t) be the second derivative of -t**8/504 - 4*t**7/315 - t**6/45 - t**2 + 3*t. Let j(y) be the first derivative of x(y). Suppose j(q) = 0. What is q?
-2, 0
Let c(i) = -8*i**4 - 23*i**3 - 18*i**2 + 23*i + 23. Let p(q) = 9*q**4 + 24*q**3 + 19*q**2 - 24*q - 24. Let t(k) = 4*c(k) + 3*p(k). Solve t(x) = 0 for x.
-2, -1, 1
Let b(k) = k**2 - k + 1. Let s(l) = -5*l**2 + 2*l + 1. Suppose 2*y + 8 = -4*p, -4*p + p + 3 = -3*y. Let r(i) = p*s(i) - 2*b(i). Let r(o) = 0. Calculate o.
-1, 1
Factor -2/9*x**4 - 8/9*x + 0 + 0*x**2 + 2/3*x**3.
-2*x*(x - 2)**2*(x + 1)/9
Let t(o) = o + 2. Let w be t(-2). Suppose w = 2*j - j + 4, 5*c + 5*j = -10. Factor 1/3 + 1/3*v**4 + 2*v**c - 4/3*v**3 - 4/3*v.
(v - 1)**4/3
Let w(o) be the first derivative of 7*o**6/9 + 4*o**5 + 29*o**4/6 - 44*o**3/9 - 12*o**2 - 16*o/3 + 11. Solve w(s) = 0.
-2, -1, -2/7, 1
Let s(f) = f**2 + 19*f + 80. Let v be s(-13). Solve 0 + 0*j**v + 2/5*j - 2/5*j**3 = 0.
-1, 0, 1
Determine w, given that -11*w + 31*w**3 - 10*w**4 - 42*w**2 + 30*w**3 - 27*w**3 - 4 + 33*w = 0.
2/5, 1
Factor -1/4*a**2 - 1/4 - 1/2*a.
-(a + 1)**2/4
Factor 12*c**5 - 4*c**4 - 4*c**3 + c**4 - c**4 + 4*c**2 - 8*c**5.
4*c**2*(c - 1)**2*(c + 1)
Let k be 0 + -1 - 6/(-6). Suppose 5*m = q - 15, -3*q + k = 2*m + 6. Solve -1/2*f**2 + 1/4*f**4 + q*f + 0 + 1/4*f**3 = 0 for f.
-2, 0, 1
Let m = 6 + 6. Suppose 2*c - 4*k = m, c - k = -0*c + 4. Factor -4 + 3 + 0 - v**c - 2*v.
-(v + 1)**2
Let m be -3*83/(-3) - -1. Let i = m - 586/7. Factor 0 + 0*l + 2/7*l**2 - i*l**3.
-2*l**2*(l - 1)/7
Factor 9*a**2 - 8 - 87*a - 37*a - 162*a**3 - 243*a**2 + 28*a.
-2*(3*a + 2)**2*(9*a + 1)
Let g(n) be the third derivative of n**5/20 - 29*n**4/32 + 7*n**3/8 - 5*n**2. Suppose g(o) = 0. Calculate o.
1/4, 7
Let p(t) be the second derivative of 0 + 4/3*t**2 - 7/18*t**4 - 1/10*t**5 + 0*t**3 + 5*t. Solve p(b) = 0.
-2, -1, 2/3
Suppose 5*w + 29 = -16. Let c = w - -11. Suppose 2/7 - 4/7*r + 4/7*r**3 + 0*r**c - 2/7*r**4 = 0. What is r?
-1, 1
Factor -5 - 8*r**2 - 3 + 5 - 10*r + 1.
-2*(r + 1)*(4*r + 1)
Suppose 2 = 3*h - 4*h. Let p be 1*(-6)/(-4 - h). Let 2*d**3 + d**p - 2*d**5 - d**3 = 0. Calculate d.
-1, 0, 1
Suppose -2 = 2*a - 12. Let f = -2 + a. Factor -2/3*x - 7/3*x**f + 0 + 3*x**2.
-x*(x - 1)*(7*x - 2)/3
Let n(m) = -m**3 + 4*m**2 - 8*m - 4. Let v(x) = x**3 - 3*x**2 + 7*x + 5. Let b(z) = -5*n(z) - 4*v(z). Factor b(s).
s*(s - 6)*(s - 2)
Let y = 437/3 - 4208/29. Let j = y + 3/29. Suppose 2/3*n**4 + 0*n**3 + j - 4/3*n**2 + 0*n = 0. Calculate n.
-1, 1
Let v(w) be the second derivative of -w**4/90 + 4*w**3/45 - 4*w**2/15 + 7*w. What is a in v(a) = 0?
2
Let n(p) be the first derivative of 3*p**3 + 6*p**2 + 3*p + 5. Find x, given that n(x) = 0.
-1, -1/3
Let q(w) be the first derivative of -w**5 + 5*w**4/4 + 10*w**3/3 - 11. Factor q(c).
-5*c**2*(c - 2)*(c + 1)
Let d(a) be the first derivative of a**2 + 0*a**3 - 1/2*a**4 + 2 - a + 1/5*a**5. Determine z so that d(z) = 0.
-1, 1
Let m(t) be the third derivative of 0*t**3 - 1/30*t**4 + 0 - 5*t**2 - 1/150*t**5 + 0*t. What is g in m(g) = 0?
-2, 0
Suppose 3*q + 2*y = 14, -2*q - 5*y + 25 = 1. Suppose -3*z + 2*x = -2, 4 = q*x - 6. Factor 4*u**5 + 10*u**z - u**5 - 7*u**4.
3*u**4*(u + 1)
Let d = -28/3 + 10. Suppose 2/3*f + d - 35/6*f**2 = 0. Calculate f.
-2/7, 2/5
Let a(w) be the third derivative of -w**5/240 - w**4/96 + w**3/12 - 2*w**2. Solve a(s) = 0.
-2, 1
Let s(l) be the first derivative of -2 - 1/8*l**2 - 1/8*l**3 - l - 1/16*l**4 - 1/80*l**5. Let i(g) be the first derivative of s(g). Factor i(f).
-(f + 1)**3/4
Let c be 130/(-195) + (-2)/(-3). Factor 0*f + 0*f**2 + 1/3*f**4 + c*f**3 + 0.
f**4/3
Let p(r) be the third derivative of r**10/2016 - r**9/420 + 9*r**8/2240 - r**7/420 - 5*r**4/12 + 6*r**2. Let x(l) be the second derivative of p(l). Factor x(w).
3*w**2*(w - 1)**2*(5*w - 2)
Let c(d) be the third derivative of 1/360*d**6 + 0*d + 1/1260*d**7 + 0*d**5 - 1/36*d**3 - 1/72*d**4 - 2*d**2 + 0. Factor c(p).
(p - 1)*(p + 1)**3/6
Let z(m) be the first derivative of -m**6/10 - 3*m**5/20 + m**4/4 + m**3/2 - 5*m + 4. Let r(k) be the first derivative of z(k). Find s such that r(s) = 0.
-1, 0, 1
Let q be 3/(-2) - (-105)/6. Let c be ((-4)/(-7))/(q/56). Factor 4/11*j - 2/11*j**c - 2/11.
-2*(j - 1)**2/11
Let g(i) = 0*i - i + 1 + 0*i. Let u be g(-2). Factor 1/4*d**4 - 1/4*d + 0 + 1/4*d**u - 1/4*d**2.
d*(d - 1)*(d + 1)**2/4
Suppose -5 = -7*m + 2*m. Let d = m + -1. Factor -2/3*t**3 + 0 + d*t + 2/3*t**2.
-2*t**2*(t - 1)/3
Suppose 0 = 2*u - 29 - 5. Let y = u + -15. Factor 0 + 0*h**3 + 2/5*h**5 - 2/5*h - 4/5*h**y + 4/5*h**4.
2*h*(h - 1)*(h + 1)**3/5
Solve 6/11*j**2 + 2/11*j**5 + 0 + 2/11*j**3 - 4/11*j - 6/11*j**4 = 0 for j.
-1, 0, 1, 2
Let h be (-1 - -18) + (-6 - -3). Let s be h/8*6/21. Factor s*r**5 + r**4 + 0*r**3 - 1/2*r + 0 - r**2.
r*(r - 1)*(r + 1)**3/2
Let o be (0 - 7 - -8) + (-6)/(-3). Factor 0*y + 0 + 0*y**2 + 1/2*y**o - 1/2*y**4.
-y**3*(y - 1)/2
Factor 0*j**3 - 2/5*j**5 - 4/5*j**2 + 4/5*j**4 + 2/5*j + 0.
-2*j*(j - 1)**3*(j + 1)/5
Let r(z) be the third derivative of z**7/1680 + z**6/960 - z**5/480 - z**4/192 + 10*z**2. Let r(c) = 0. What is c?
-1, 0, 1
Let x(m) be the second derivative of 1/20*m**5 + m + 0 + 0*m**2 - 1/60*m**6 - 1/24*m**4 + 0*m**3. Let x(d) = 0. Calculate d.
0, 1
Suppose 2*b = 5*r - 1, -4*b + 2*r + 0*r + 6 = 0. Let d be 5/15*(2 - b). Factor 2/7*p + d - 2/7*p**2.
-2*p*(p - 1)/7
Determine q, given that -3*q**2 - 1/3*q**4 + 2*q**3 + 0 + 0*q = 0.
0, 3
Let d = 3305/8 - 412. Let l(j) be the first derivative of -d*j**2 + 9/16*j**4 - 3 + 3/4*j - 1/4*j**3. Suppose l(s) = 0. What is s?
-1, 1/3, 1
Let l(h) be the second derivative of -2*h**6/5 - 6*h**5/5 - 5*h**4/4 - h**3/2 + 10*h. Factor l(b).
-3*b*(b + 1)*(2*b + 1)**2
Suppose 0 = 6*q - 5*q - 6. Let r(b) = -b**2 + 8*b - 8. Let a be r(q). Factor -2/3*o**2 - 8/3*o**3 - 2*o**a + 0 + 0*o.
-2*o**2*(o + 1)*(3*o + 1)/3
Suppose 8/3*j**3 - 10/3*j**2 + 4/3