+ 8*f**p - 4*f - 8 - 4*f**3 - d*f = 0. What is f?
-1/2, 2
Let x(i) be the first derivative of i**6/27 - 4*i**5/45 - 10*i**4/9 + 16*i**3/27 + 128*i**2/9 + 256*i/9 - 5. What is f in x(f) = 0?
-2, 4
Let c = -5751/880 + 105/16. Let b(r) be the second derivative of -r + 0 + c*r**5 + 2/33*r**3 + 0*r**2 - 5/66*r**4. Factor b(p).
2*p*(p - 1)*(3*p - 2)/11
Let u(b) be the third derivative of -b**8/840 - 4*b**7/525 - b**6/50 - 2*b**5/75 - b**4/60 - 3*b**2. Find x such that u(x) = 0.
-1, 0
Let p = -1627/24 - -793/8. Let d = -31 + p. Factor 2/3*b + d*b**2 + 1/3.
(b + 1)**2/3
Let r(l) = l + 6. Let a be r(-4). Let p(v) be the first derivative of 1/4*v**a - 1 - 1/20*v**5 - 1/8*v**4 + 1/4*v + 0*v**3. Factor p(o).
-(o - 1)*(o + 1)**3/4
What is m in 6/7*m - 6/7*m**3 - 2/7*m**2 - 2/7 + 4/7*m**4 = 0?
-1, 1/2, 1
Let q(s) be the second derivative of 4*s**2 + 0 + 8*s**3 + 7/15*s**6 - 5*s + 3*s**5 + 43/6*s**4. Find v, given that q(v) = 0.
-2, -1, -2/7
Let p(k) = k**3 + k - 2. Let w(x) = -3*x - 5. Let f(l) = 2*l + 4. Let q(d) = 4*f(d) + 3*w(d). Let u(h) = 2*p(h) + 4*q(h). Factor u(o).
2*o*(o - 1)*(o + 1)
Let g be 0 + (132/(-9) - 1). Let s = 241/15 + g. Find l such that 2/5*l**2 + s*l + 0 = 0.
-1, 0
Find s, given that 0 + 0*s + 0*s**2 - 1/3*s**4 + 7/3*s**3 = 0.
0, 7
Let c(m) be the third derivative of m**5/60 + m**4/12 + 30*m**2. Suppose c(i) = 0. Calculate i.
-2, 0
Suppose -5*k + 10 = -0*k. Let z(d) be the first derivative of d + 2 + d**k + 1/3*d**3. Suppose z(a) = 0. What is a?
-1
Let a = -481 + 2406/5. Factor -a - 1/5*l**5 - 1/5*l - 1/5*l**4 + 2/5*l**3 + 2/5*l**2.
-(l - 1)**2*(l + 1)**3/5
Let d = 1/5 - -1/45. Factor d*q**5 - 4/9*q**3 - 8/9*q**4 + 8/3*q**2 + 0 + 2*q.
2*q*(q - 3)**2*(q + 1)**2/9
Let u(p) = -6*p - 4. Suppose 2*f - 3*s - 9 = 0, -2*f + s = -7*f - 20. Let t be u(f). Factor -8 - 4*x + t*x**2 - 20*x + 0.
2*(x - 2)*(7*x + 2)
Factor 10 - z**2 - 10.
-z**2
Let n be ((-2)/(-3))/(6/36). Let r(i) be the third derivative of 1/120*i**6 + 0*i - 1/126*i**7 + i**2 + 0*i**n + 0 + 1/90*i**5 + 0*i**3. Factor r(g).
-g**2*(g - 1)*(5*g + 2)/3
Suppose -2*x + 16 = 4*a, x + 3 = -a + 6. Factor -2*l**a + 6*l**5 - 3*l**5.
l**5
Let s = 8 - 3. Factor -2*k - 4*k**3 - 2*k**4 + s*k - 3*k - 2*k**2.
-2*k**2*(k + 1)**2
Solve 4/5*a**3 - 16/5*a - 2/5*a**4 + 8/5 + 6/5*a**2 = 0 for a.
-2, 1, 2
Let i(c) be the first derivative of 2/21*c**3 + 0*c + 1/7*c**2 - 3. Factor i(u).
2*u*(u + 1)/7
Let -28/3*w**3 + 28/3*w**5 - 8/3*w**2 + 0*w + 8/3*w**4 + 0 = 0. Calculate w.
-1, -2/7, 0, 1
Suppose 0 = 29*y - 31*y + 6. Let g(q) be the second derivative of 0*q**y + 0 + 0*q**2 + 1/42*q**4 + 2*q. Factor g(t).
2*t**2/7
Factor -12/7*o**2 - 2/7*o**3 - 16/7*o + 0.
-2*o*(o + 2)*(o + 4)/7
Suppose 27/2*c**4 - 27/2*c**2 + 21/2*c**3 + 0 - 15/2*c**5 - 3*c = 0. What is c?
-1, -1/5, 0, 1, 2
Suppose -3*p + 26 = 4*q, -2*q + 8 = 2*p - 6. Factor p + 13/2*l**2 + 1/2*l**4 + 6*l + 3*l**3.
(l + 1)**2*(l + 2)**2/2
Let v = 84 + -165/2. Factor -1/2*r**3 - 3/2*r + v*r**2 + 1/2.
-(r - 1)**3/2
Let i = -124/35 - -22/5. Factor 2/7*g**3 + i*g - 2/7 - 6/7*g**2.
2*(g - 1)**3/7
Let b = -2 + 6. Factor -6 + 3 - 6*f + 9*f**3 + 2*f**b - 3*f**3 + f**4.
3*(f - 1)*(f + 1)**3
Let o(d) be the first derivative of d**6/12 - d**5/10 - d**4/4 + d**3/3 + d**2/4 - d/2 + 1. Factor o(j).
(j - 1)**3*(j + 1)**2/2
Factor 0*s + 0 + 2/3*s**2.
2*s**2/3
Let n(x) be the first derivative of 4*x**5/5 - 4*x**4 + 16*x**3/3 + 22. Factor n(k).
4*k**2*(k - 2)**2
Let q(c) be the second derivative of -1/12*c**4 + c**2 + 0*c**3 + 0 + c - 1/30*c**5. Let k(g) be the first derivative of q(g). Suppose k(y) = 0. What is y?
-1, 0
Let c(y) be the third derivative of 0*y - 1/30*y**4 - 1/15*y**3 - 1/150*y**5 + 0 - y**2. Factor c(x).
-2*(x + 1)**2/5
Let n(f) be the third derivative of 0 + 13/40*f**5 + 5/8*f**4 + 9/35*f**7 + 0*f - 3/4*f**6 + 3*f**2 + 1/4*f**3. Let n(b) = 0. What is b?
-1/6, 1
Factor -20/7*c + 2/7*c**3 + 0 - 6/7*c**2.
2*c*(c - 5)*(c + 2)/7
Suppose -p = -2*v - 4, 3*v + 0*v = 0. Factor -38*q**p - 13*q**3 - 2*q**4 - 137*q**3 - 45*q - 6 - 120*q**2 - 21*q**5 - 50*q**4.
-3*(q + 1)**4*(7*q + 2)
Let r(w) be the third derivative of -w**7/105 - w**6/20 - w**5/10 - w**4/12 - 44*w**2. Solve r(f) = 0 for f.
-1, 0
Let p(k) be the first derivative of -1/10*k**4 + 1 + 0*k**3 + 0*k + 1/5*k**2. Solve p(l) = 0.
-1, 0, 1
Let u be 24/(-120) - (88/(-20))/2. Let -3/4*c + 0 + 3/4*c**u = 0. Calculate c.
0, 1
Determine x so that -3/2*x + 0*x**4 - x**2 + 1 - 1/2*x**5 + 2*x**3 = 0.
-2, -1, 1
Find k such that 0 - 3/7*k**5 - 18/7*k**3 - 12/7*k**2 - 3/7*k - 12/7*k**4 = 0.
-1, 0
Let 4*c**3 - 4*c**5 + 8*c**2 + c**4 - 7*c**4 - 2*c**4 = 0. Calculate c.
-2, -1, 0, 1
Let k(v) be the second derivative of 0 - 2/9*v**4 - 2/3*v**2 - 5/9*v**3 - v - 1/30*v**5. Suppose k(m) = 0. Calculate m.
-2, -1
Let w be (-11)/3 + 3 - -1. Suppose 0 = 3*h - h. Let -1/3*m**2 + 0*m + h - w*m**4 - 2/3*m**3 = 0. Calculate m.
-1, 0
Let d = -2 - -4. Let c(z) = -5*z**2 - z - 5. Let h(b) be the first derivative of b**3/3 + b + 9. Let p(w) = d*c(w) + 9*h(w). Factor p(s).
-(s + 1)**2
Let l = -2 + 6. Suppose 14*r**3 + 2*r - 13*r**3 + 11*r**2 + 6*r**5 + 27*r**4 + 21*r**3 - 8*r**l = 0. What is r?
-1, -2/3, -1/2, 0
Let f be ((3 - 8) + 3)*2. Let m be (f/(-10))/(35/25). Find l such that 2/7 + 6/7*l**2 + 6/7*l + m*l**3 = 0.
-1
Let u(a) be the second derivative of 7/3*a**3 + 1/15*a**6 + 3/2*a**4 + 0 + 2*a**2 + 1/2*a**5 + a. Determine h, given that u(h) = 0.
-2, -1
Let t(a) = -5*a**2 + 5*a. Let c(n) = n**3 + n**2 - n. Let p(m) = -c(m) - t(m). Factor p(v).
-v*(v - 2)**2
Let c(m) be the third derivative of m**8/13440 + m**7/1260 + m**6/288 + m**5/120 + m**4/8 - 5*m**2. Let s(g) be the second derivative of c(g). Factor s(r).
(r + 1)**2*(r + 2)/2
Let a(o) be the second derivative of 5*o**4/12 + 5*o**3/6 - 21*o. Find p, given that a(p) = 0.
-1, 0
Factor 40/3*n + 5 + 25/3*n**2.
5*(n + 1)*(5*n + 3)/3
Suppose -8 = 2*m, 4*y - 22 = 2*y + m. Suppose 8*s = y*s. Solve 2/7*l**2 - 2/7*l**3 + 0 + s*l = 0 for l.
0, 1
Let x(b) be the third derivative of 0*b**5 + 6*b**2 + 0 + 0*b**4 - 1/120*b**6 + 0*b + 0*b**3. Factor x(q).
-q**3
Suppose v = 4*k - 0*v - 86, 4*v - 13 = -k. Let n = k + -41/2. Suppose -2*j**2 - 1/2*j + 0 - 2*j**4 - 3*j**3 - n*j**5 = 0. What is j?
-1, 0
Suppose 5*k - 22 + 12 = 0. Factor 2/9*n**k + 2/3*n + 4/9.
2*(n + 1)*(n + 2)/9
Let i(j) = -j**2 - j. Let r(p) = -p**3 - 9*p**2 - 8*p - 2. Let l be r(-8). Let m(d) = 3*d**2 + 17*d + 32. Let u(n) = l*i(n) - 2*m(n). Factor u(h).
-4*(h + 4)**2
Let m(u) be the second derivative of u**5/20 - 5*u**4/12 + 4*u**3/3 - 2*u**2 - 5*u. Factor m(n).
(n - 2)**2*(n - 1)
Let m(p) = -p - 7. Let x be m(-8). Let r be (x + 0)*2/1. Factor -2*k**2 + 2*k**2 - 2*k**r + 2*k.
-2*k*(k - 1)
Let m(g) be the third derivative of -g**8/1344 - g**7/280 - g**6/160 - g**5/240 - 8*g**2. Factor m(c).
-c**2*(c + 1)**3/4
Let s(r) be the second derivative of r**5/5 - 4*r**4 + 32*r**3 - 128*r**2 + 6*r. Factor s(c).
4*(c - 4)**3
Let d(s) be the first derivative of 1/3*s**4 - 2*s**2 + 1 - 2*s + 1/3*s**3 - 1/10*s**5. Let v(h) be the first derivative of d(h). Factor v(b).
-2*(b - 2)*(b - 1)*(b + 1)
Let b(u) = u**5 + 4*u**4 - 12*u**3 + 13*u**2 - u - 5. Let o(f) = -f**5 - 3*f**4 + 11*f**3 - 13*f**2 + 2*f + 4. Let y(n) = -4*b(n) - 5*o(n). Factor y(s).
s*(s - 2)*(s - 1)**2*(s + 3)
Let p(f) be the second derivative of f**5/20 + f**4/12 + 4*f. Factor p(a).
a**2*(a + 1)
Suppose -2 - 2 = w. Let m be 4/(-6)*-3 - w. What is t in t**5 + 2*t**2 - 6*t**4 + m*t**5 - 3*t**5 = 0?
-1/2, 0, 1
Let n(v) be the first derivative of v**5 + 15*v**4/4 - 10*v**2 + 40. Find i such that n(i) = 0.
-2, 0, 1
Let s(m) be the third derivative of m**8/10080 + m**5/30 + 5*m**2. Let h(x) be the third derivative of s(x). Solve h(t) = 0.
0
Factor 0 + 2/3*y**3 - 4/3*y**2 + 2/3*y.
2*y*(y - 1)**2/3
Determine c, given that 0*c**2 + 6*c**5 - 2*c**3 - 4*c + 17*c**4 - 8*c**2 - 6*c**2 - 3*c**4 = 0.
-2, -1, -1/3, 0, 1
Suppose 3*r = 5*c, -2*r - 3*r = -5*c - 10. Suppose -3/4*a**c + 1/4*a - 1/4*a**4 + 0 + 1/2*a**5 + 1/4*a**2 = 0. Calculate a.
-1, -1/2, 0, 1
Let f be (-187)/(-55) + (0 - 3). Solve -1/5*k - f + 1/5*k**3 + 2/5*k**2 = 0.
-2, -1, 1
Suppose 3*p + 4*f + 4 = -0, 3*p - 3 = 3*f. Let v(h) = -28*h + 60. Let d be v(2). Let 0*x**3 + 0 - 2/5*x**2 + 2/5*x**d + p*x = 0. Calculate x.
-1, 0, 1
Let 