 - 2)*(v - 1)*(v + 1)/4
Let i(m) be the second derivative of 2/105*m**6 - 1/7*m**2 - 13/70*m**5 - 1/42*m**4 + 0 + 5/21*m**3 + 5*m + 8/147*m**7. What is l in i(l) = 0?
-1, 1/4, 1/2, 1
Let v(q) = -q + q + 0*q**3 + 5*q**2 + 4*q + q**3. Let l be v(-4). Factor -2/5*m**3 + l + 0*m**2 + 2/5*m.
-2*m*(m - 1)*(m + 1)/5
Let m = -12 + 15. Let z(b) be the second derivative of -b + 0 - 1/24*b**m + 0*b**2 - 1/24*b**4. Factor z(p).
-p*(2*p + 1)/4
Let d(x) be the second derivative of x**5/5 + x**4/6 - x**3/3 + x**2/2 + 2*x. Let w be d(1). Let -2*t**5 + 2*t**3 + 0*t**5 + 0*t**w = 0. What is t?
-1, 0, 1
Let j be ((-144)/(-2 - 2))/1. Let m be (j/405)/(2/10). Determine y so that 2/9*y**2 + m - 2/3*y = 0.
1, 2
Suppose -5*r + 20 = l - 0*l, -3*r - l = -10. Suppose 3*c + 1 = -3*y + 8*c, 5*y - r*c - 5 = 0. Factor -2*d**y + d + 0*d + d**3.
-d*(d - 1)*(d + 1)
Let 0*d**3 + 0*d - 2/9*d**4 + 2/9*d**2 + 0 = 0. What is d?
-1, 0, 1
Suppose 2*x - 6 = -x. Find l such that l + x + 2*l**3 - 4*l**4 + 2*l**2 - 6*l + 2*l**3 + 0*l**5 + l**5 = 0.
-1, 1, 2
Let x = 6791/5091 + -1/1697. Factor 16/3*h - 7/3*h**2 - x.
-(h - 2)*(7*h - 2)/3
Let g = -10 - -10. Let l(j) be the second derivative of 1/3*j**3 + 1/6*j**4 - 2*j - 1/5*j**5 + 0*j**2 + g. Factor l(m).
-2*m*(m - 1)*(2*m + 1)
Let t(s) = 20*s**2 + 40*s + 20. Let l(d) = -4*d**2 - 8*d - 4. Let o(h) = 24*l(h) + 5*t(h). Find q, given that o(q) = 0.
-1
Suppose 0 = -c - 5*t + 2*t + 18, 0 = -4*c + 4*t - 8. Let r(l) be the first derivative of 0*l - 2 - 1/10*l**4 + 0*l**2 + 2/15*l**c. Factor r(w).
-2*w**2*(w - 1)/5
Find g such that 1/2*g - 1/2*g**3 + 1 + 1/2*g**4 - 3/2*g**2 = 0.
-1, 1, 2
Let y be (-6)/21 - 508/(-14). Let p be 15/y - (-1)/4. Factor 0 - 8/3*x**3 - p*x + 10/3*x**2.
-2*x*(x - 1)*(4*x - 1)/3
Factor 6 + 24*m + 5 - 3 + 4*m**2 + 12.
4*(m + 1)*(m + 5)
Let y(w) be the third derivative of -w**9/15120 - w**8/6720 + w**7/560 - w**6/360 - 2*w**5/15 - w**2. Let m(l) be the third derivative of y(l). Factor m(q).
-(q - 1)*(q + 2)*(4*q - 1)
Let i(c) be the second derivative of c**4/3 + 4*c**3 + 18*c**2 - 23*c. Determine a so that i(a) = 0.
-3
Factor -3/2 + 3/4*k + 3/2*k**2 - 3/4*k**3.
-3*(k - 2)*(k - 1)*(k + 1)/4
Let h(r) = -r**2 - 6*r + 6. Let w(k) = -5*k**2 - 25*k + 25. Let x(o) = 9*h(o) - 2*w(o). Factor x(f).
(f - 2)**2
Let l(f) = f**3 + 11*f**2 - 27*f - 13. Let v be l(-13). What is g in 0*g + 1/4*g**2 - 1/4*g**4 + v + 1/4*g**5 - 1/4*g**3 = 0?
-1, 0, 1
Let f(w) be the first derivative of w**3/3 + 5*w**2/2 - 6*w + 14. Factor f(a).
(a - 1)*(a + 6)
Factor 0 - 4/3*j - 1/3*j**2.
-j*(j + 4)/3
Let q(o) be the second derivative of -4*o**7/105 + o**6/25 + o**5/10 - o**4/10 - o**3/15 - 11*o. Find z such that q(z) = 0.
-1, -1/4, 0, 1
Let -a - 1 - 1/4*a**2 = 0. Calculate a.
-2
Let s(d) = 4*d**5 - 8*d**4 + 4*d**3 + 12*d**2 - 10*d - 2. Let k(a) = -a**5 - a**4 + a**3 - a**2 + a + 1. Let x(p) = 2*k(p) + s(p). Factor x(f).
2*f*(f - 4)*(f - 1)**2*(f + 1)
Let q be 4*(-1)/20 - 23/(-40). Let b(d) be the second derivative of 0 - q*d**4 + 1/2*d**3 + 1/10*d**5 - 1/4*d**2 - 3*d. Determine f so that b(f) = 0.
1/4, 1
Let c(f) be the first derivative of -2*f**6/15 - 2*f**5/5 - f**4/3 - f - 2. Let u(h) be the first derivative of c(h). Let u(y) = 0. What is y?
-1, 0
Let f = 2 + -2. Suppose 3*b - 2 - 6 = -2*d, f = -d - 2. Suppose o**3 - b*o**5 + 4*o**3 + o - 5*o**2 + 5*o**4 - 2*o**3 = 0. Calculate o.
-1, 0, 1/4, 1
Factor 0 - 2/9*o - 2/9*o**2.
-2*o*(o + 1)/9
Factor 3/4*c - 1/4*c**2 + 0.
-c*(c - 3)/4
Factor -10/3*s**3 + 20/3*s - 46/3*s**2 + 0.
-2*s*(s + 5)*(5*s - 2)/3
Let c(s) = -55*s**2 - 70*s - 25. Let z(w) = 82*w**2 + 105*w + 37. Let x(p) = -7*c(p) - 5*z(p). Find m, given that x(m) = 0.
-1, -2/5
Suppose s = -s + 5*f + 19, -s - 18 = 3*f. Let k = s + 3. Solve -x**2 + k*x + x + 0*x = 0.
0, 1
Let o = 9 + -6. Factor 84 + 16*y**2 - 84 - 16*y - 4*y**o.
-4*y*(y - 2)**2
Let u(l) be the first derivative of -l**6/360 - l**5/120 - 8*l**3/3 + 5. Let k(n) be the third derivative of u(n). Let k(a) = 0. What is a?
-1, 0
Suppose -6*h + 1 = -5*h. Factor -h + 1/2*y + 1/2*y**2.
(y - 1)*(y + 2)/2
Let a = -118 - -121. Factor 1/4 - 1/4*q**2 - 1/4*q**a + 1/4*q.
-(q - 1)*(q + 1)**2/4
Let z be 0 - (-4 + 2 + 0). Suppose -2*l + 4 = 3*h, -2*h + 6 = 2*l - 0*h. Let z*r**5 + 2*r**3 - 4*r**5 + 3*r**l - 3*r**5 = 0. Calculate r.
-1, 0, 1
Let l = -6/145 - -308/435. Determine o, given that 2/3*o**4 + 4*o**2 - 8/3*o**3 + l - 8/3*o = 0.
1
Let b(w) be the first derivative of 2*w**3 - 7/6*w**4 - 2/3*w**2 + 0*w - 1. Solve b(g) = 0.
0, 2/7, 1
Factor m + 0 - 1/3*m**2.
-m*(m - 3)/3
Let d(g) be the third derivative of -g**5/180 + g**4/24 + 9*g**2. Factor d(c).
-c*(c - 3)/3
Factor 6*y + 3*y**4 - 2*y**2 - 10*y**4 - y**2 - 6*y**3 + 10*y**4.
3*y*(y - 2)*(y - 1)*(y + 1)
Factor -3/8*d**2 - 3/2*d - 9/8.
-3*(d + 1)*(d + 3)/8
Suppose -2*o = 2*o + 3*n - 23, 17 = o + 3*n. Let -3*z**2 - 5*z**2 - o*z + 5*z**2 - 1 + 2*z**2 = 0. Calculate z.
-1
Let s be 2 + 0 - (-72)/(-1). Let y be 8/s*40/(-16). Determine o so that 2/7*o - y*o**3 - 2/7 + 2/7*o**2 = 0.
-1, 1
Let s(g) be the first derivative of 10*g**6/3 + 44*g**5/5 + 2*g**4 - 40*g**3/3 - 14*g**2 - 4*g - 35. Factor s(z).
4*(z - 1)*(z + 1)**3*(5*z + 1)
Let s = 1845/11 + -167. Suppose -4*x + 8 = -0*x - 4*w, -2*x + 5 = -w. Solve -12/11*p**x - 2/11*p**5 + 0 - 2/11*p + 8/11*p**4 + s*p**2 = 0.
0, 1
Suppose 1 = 4*g - 7. Factor 12*i**2 - 19*i**g - 3*i**3 + 13*i**2.
-3*i**2*(i - 2)
Let q = 156 + -778/5. Factor q + 4/5*o**2 + o + 1/5*o**3.
(o + 1)**2*(o + 2)/5
Suppose 2*v + 5 = 49. Let w = 67/3 - v. Determine m, given that -2/3 + 1/3*m + w*m**2 = 0.
-2, 1
Let y(o) be the first derivative of 2*o**3/3 + 2*o**2 + 2*o - 3. Suppose y(s) = 0. What is s?
-1
Let i(m) = 8*m**3 + m**2 + 3*m - 11. Let k(y) = -y**3 - y + 1. Let c(s) = 4*s + 7. Let q be c(-7). Let l(h) = q*k(h) - 3*i(h). Find j such that l(j) = 0.
-2, -1, 2
Let y(w) be the first derivative of 3 - 4*w**2 - 1/4*w**4 - 4*w - 5/3*w**3. Solve y(c) = 0.
-2, -1
Let v = 4 + -1. Let t(m) = -1 - 1 + v*m**2 - 4 + 7*m. Let q(c) = -2*c**2 - 6*c + 5. Let p(i) = 4*q(i) + 3*t(i). Solve p(j) = 0 for j.
1, 2
Let a(j) = -10*j**2 + 14*j - 12. Let f be -12*(-1 - 2/(-1)). Let s(c) = -c**2 + c - 1. Let h(z) = f*s(z) + a(z). Factor h(l).
2*l*(l + 1)
Let k(f) be the first derivative of f**9/5040 - f**8/4200 + 3*f**3 - 8. Let c(z) be the third derivative of k(z). Solve c(i) = 0 for i.
0, 2/3
Let g(f) be the first derivative of 3*f**4/4 - 3*f**3 - 3*f**2/2 + 9*f + 5. What is x in g(x) = 0?
-1, 1, 3
Factor -2/3 + 2/3*x - 2/3*x**3 + 2/3*x**2.
-2*(x - 1)**2*(x + 1)/3
Let s(t) = -t**3 - 4*t**2 + 4*t - 5. Let a be s(-5). Factor y**2 + 2*y + a*y**2 + 3*y + 9 + y.
(y + 3)**2
Let p(d) = 5*d - 10. Let c be p(3). Factor 0 + 0*q**2 + 1/3*q**4 + 0*q + 1/3*q**c - 2/3*q**3.
q**3*(q - 1)*(q + 2)/3
Let p(i) be the second derivative of 1/12*i**3 + 3*i - 1/8*i**2 + 0 - 1/48*i**4. Determine s, given that p(s) = 0.
1
Let j(y) be the third derivative of y**7/70 - y**5/20 - y**2. Factor j(f).
3*f**2*(f - 1)*(f + 1)
Let j(c) be the third derivative of c**5/15 + c**4/2 + 4*c**3/3 + 22*c**2. Factor j(r).
4*(r + 1)*(r + 2)
Let f be (-9)/15*135/(-3). Suppose -u**2 + 6*u**2 + f - 2*u**2 - 18*u = 0. What is u?
3
Suppose -4/7 - 18/7*f**5 + 36/7*f**3 + 8/7*f**2 - 4/7*f**4 - 18/7*f = 0. What is f?
-1, -2/9, 1
Let z be 24/30 + 9/(-30). Determine w, given that z*w + 1/2*w**3 - w**2 + 0 = 0.
0, 1
Let h = 891/1145 - -5/229. Factor -h - 1/5*f**2 + 4/5*f.
-(f - 2)**2/5
Suppose -11*s + 15 + 18 = 0. Factor 16/5*v - 32/5 + 2/5*v**4 + 6*v**2 - 16/5*v**s.
2*(v - 4)**2*(v - 1)*(v + 1)/5
Let a(j) be the first derivative of -j**6/4 - 6*j**5/5 - 9*j**4/8 + 2*j**3 + 3*j**2 + 6. Solve a(u) = 0.
-2, -1, 0, 1
Suppose -v - 17 = -2*c - 6*v, 3*v - 15 = 0. Let d be c*((-3)/6)/1. Factor 2*p + 4*p**d - 4*p**3 - 4 + 0*p**2 + 2*p**3.
-2*(p - 2)*(p - 1)*(p + 1)
Suppose 5*b = 4*m - 8 + 70, -3*b + 2*m = -36. Let p be (16/(-90))/(-4)*b. Factor -p*k + 2/9 + 2/9*k**2.
2*(k - 1)**2/9
Let s(z) be the third derivative of z**8/20160 - z**7/2520 + z**6/720 + z**5/15 + z**2. Let m(x) be the third derivative of s(x). Find y such that m(y) = 0.
1
Let x(j) be the second derivative of 0 - 1/420*j**6 + 0*j**3 - 1/2*j**2 + 0*j**4 + j + 0*j**5. Let y(t) be the first derivative of x(t). Factor y(b).
-2*b**3/7
Let p = 5700/539 + -2/539. Facto