/(6/42). Let 174*i**3 + 96*i**z + 27*i**5 + 15*i**2 - 3*i**2 + 24*i + 117*i**4 = 0. What is i?
-2, -1, -2/3, 0
Suppose -n = -4*n + 9. Find y, given that -64*y - 7*y**3 - 2*y**4 - 16*y**2 - 12*y**3 - 32 - 32*y**2 + 3*y**n = 0.
-2
Let w(l) = 24*l**3 + 16*l**2 + 10*l - 6. Let q(x) = -23*x**3 - 17*x**2 - 9*x + 5. Let z(a) = -6*q(a) - 5*w(a). Factor z(i).
2*i*(i + 1)*(9*i + 2)
Let n(p) be the first derivative of p**3/15 - p**2/10 - 4. Suppose n(d) = 0. Calculate d.
0, 1
Let z(k) be the second derivative of k**8/2520 - k**7/1260 + 2*k**3/3 + 4*k. Let n(u) be the second derivative of z(u). Factor n(v).
2*v**3*(v - 1)/3
Let s = -732 + 737. Let -2/11*a**3 + 0 + 2/11*a**2 + 2/11*a**s + 0*a - 2/11*a**4 = 0. Calculate a.
-1, 0, 1
Let t be (-2)/9 + (-32)/(-63). Let f(s) = -s**2 + 4*s + 26. Let a be f(7). Factor 2/7*u**a + t*u**3 - 4/7*u**4 + 0*u + 0*u**2 + 0.
2*u**3*(u - 1)**2/7
Determine h, given that 3/4*h**2 + h - 1 = 0.
-2, 2/3
Let w(m) be the second derivative of 0 - 1/6*m**4 + 0*m**2 - 1/5*m**5 - m - 1/24*m**3. Factor w(u).
-u*(4*u + 1)**2/4
Let v(y) be the first derivative of -y**6/18 - y**5/15 + y**4/4 + y**3/9 - y**2/3 + 7. Determine t, given that v(t) = 0.
-2, -1, 0, 1
Let f be 3 + (-5)/(30/448). Let p = 73 + f. Find i such that 2/3 + p*i**2 + 2/3*i**5 - 2*i**4 + 4/3*i**3 - 2*i = 0.
-1, 1
Factor 2/3*v**3 - 4/3*v**2 + 2/3*v**4 + 0*v + 0.
2*v**2*(v - 1)*(v + 2)/3
Let a(x) be the third derivative of 0*x - 2/3*x**3 + 0 - 3*x**2 + 1/4*x**4 - 1/60*x**6 + 0*x**5. Find i such that a(i) = 0.
-2, 1
Factor -4*q**4 - 12*q**3 + 64*q - 26*q - 22*q.
-4*q*(q - 1)*(q + 2)**2
Let r be 15/(-6) + 18/2 + -5. Determine k, given that 3/2*k**2 - r + 0*k = 0.
-1, 1
Let o(f) be the first derivative of 3/4*f**4 - 3*f**3 + 0*f**2 + 12*f + 2. Factor o(x).
3*(x - 2)**2*(x + 1)
Suppose 1/6*r**2 - 1/6*r**4 + 0 - 1/3*r + 1/3*r**3 = 0. Calculate r.
-1, 0, 1, 2
Let k(i) be the third derivative of 0*i**3 + 0*i**4 + 0*i - 1/120*i**5 - 4*i**2 - 1/240*i**6 + 0. Factor k(l).
-l**2*(l + 1)/2
Let b(t) be the first derivative of 1/6*t**3 - 1 - t**2 + 0*t. What is j in b(j) = 0?
0, 4
Let z(u) be the third derivative of 3*u**2 - 1/9*u**3 + 0*u + 7/90*u**5 + 1/18*u**4 + 1/45*u**6 + 0. Factor z(o).
2*(o + 1)**2*(4*o - 1)/3
Let w = -20 + 14. Let n be w/8 - (-57)/12. Determine g, given that 5 + g**n + g**5 + 0 - 5 - 2*g**3 = 0.
-2, 0, 1
Suppose -4*r = 10*r. Let b(v) be the third derivative of 0*v**3 + 0*v + 0 + r*v**4 - 1/180*v**5 - v**2. Suppose b(z) = 0. What is z?
0
Let c(f) be the first derivative of -3/20*f**4 + 2/25*f**5 + 0*f + 0*f**2 + 1/15*f**3 + 5. Factor c(b).
b**2*(b - 1)*(2*b - 1)/5
Suppose 0 = 21*b - 16*b. Find f such that -2/9*f**4 - 4/9*f + 0 + b*f**3 + 2/3*f**2 = 0.
-2, 0, 1
Suppose -2*n + 10 = 0, -2*f + 4*f - 35 = -5*n. Suppose 9 + 0 = 3*q. Let 3*m - m - f*m + q*m**2 = 0. Calculate m.
0, 1
Let i be ((-12)/(-8))/((-3)/(-8)). Suppose -2*q + u = -u + i, -4*q - 4 = -3*u. Factor -q*o - 2*o**2 + 4 + 4*o + 0.
-2*(o - 2)*(o + 1)
Let v(h) be the first derivative of -1/6*h + 5 + 1/6*h**2 - 1/18*h**3. Factor v(q).
-(q - 1)**2/6
Let q be 9/10 - 11/22. Let l(v) be the first derivative of 0*v - 1/2*v**4 + 1 + 2/3*v**3 - q*v**5 + v**2. Factor l(o).
-2*o*(o - 1)*(o + 1)**2
Factor -1/3*o**2 - o + 0.
-o*(o + 3)/3
Suppose -y + 6 = -0*y. Suppose 0 = 3*m - y*m. Suppose 1/3*w**4 + 0*w**3 - 1/3*w**2 + m*w + 0 = 0. Calculate w.
-1, 0, 1
Let r(l) be the first derivative of 4*l**3/21 + 6*l**2/7 + 8*l/7 - 21. Suppose r(n) = 0. What is n?
-2, -1
Let t(f) be the third derivative of 1/1008*f**8 - 1/210*f**7 + 0 + 0*f**3 + 0*f + 4*f**2 + 0*f**4 + 1/120*f**6 - 1/180*f**5. Suppose t(x) = 0. Calculate x.
0, 1
Let s = -3/11 - -47/132. Let t(u) be the second derivative of 0 + 1/120*u**6 - 1/48*u**4 + 1/40*u**5 + u - s*u**3 + 0*u**2. Factor t(o).
o*(o - 1)*(o + 1)*(o + 2)/4
Let a(s) be the third derivative of -s**6/40 - 7*s**5/60 + 4*s**3/3 - 6*s**2. Let v(w) = -2*w**3 - 6*w**2 + 7. Let q(j) = 3*a(j) - 4*v(j). Factor q(g).
-(g - 2)**2*(g + 1)
Let b = -1081 + 7587/7. Factor -b*a + 25/7*a**2 + 4/7.
(5*a - 2)**2/7
Let c be 40/42 + 4/(-6). Factor 0 - 2/7*g**3 + 2/7*g**5 + 2/7*g**2 + 0*g - c*g**4.
2*g**2*(g - 1)**2*(g + 1)/7
Find j such that 2/5*j**2 - 6/5 - 4/5*j = 0.
-1, 3
Let f be ((-6)/15*-1)/((-24)/(-30)). Factor f + 3/2*j + 1/2*j**3 + 3/2*j**2.
(j + 1)**3/2
Let r(n) = 2*n - 37. Let p be r(20). Let z(d) be the third derivative of 1/15*d**4 + 0 + 1/150*d**5 + 4/15*d**3 + 0*d + p*d**2. Solve z(s) = 0.
-2
Let b = -8 + 11. Suppose u - 8 = -b*u. Factor -i**2 - 7*i**3 + 3*i - i - 4*i**u.
-i*(i + 1)*(7*i - 2)
Let v = 21 - 27. Let r be (10/v)/(7/(-21)). Factor -8/5 - 38/5*w**2 + 1/5*w**5 + 28/5*w - 8/5*w**4 + r*w**3.
(w - 2)**3*(w - 1)**2/5
Suppose 0 = 3*v - 10*v + 98. Suppose 0 = v*x - 12*x. Factor g**3 + 0 + x*g - 1/2*g**4 - 1/2*g**2.
-g**2*(g - 1)**2/2
Let v(b) be the third derivative of b**8/4200 - b**6/450 + b**4/60 - b**3/6 + 7*b**2. Let k(h) be the first derivative of v(h). Factor k(g).
2*(g - 1)**2*(g + 1)**2/5
Let b(d) be the second derivative of d**6/120 + d**5/80 - 6*d. Let b(y) = 0. Calculate y.
-1, 0
Let o(l) = -l**2 - l + 5. Let y(z) = z**2 + 3*z + 2. Let m be y(-1). Let a be o(m). Solve 0*g**2 - 2/7*g + 4/7*g**3 + 0*g**4 + 0 - 2/7*g**a = 0 for g.
-1, 0, 1
Suppose -6*c + 5 = -c. Let h be 9*(c - 6/9). Find z, given that 0*z**4 + 0 - 1/4*z**5 + 1/2*z**h + 0*z**2 - 1/4*z = 0.
-1, 0, 1
Suppose 5*s = 2*g, -3*s = 3*g + 2*g. Let o = -49/40 - -13/8. Find k such that o*k**4 + s*k**3 + 0 - 4/5*k - 6/5*k**2 = 0.
-1, 0, 2
Let k(b) = -b**3 + 4*b**2 + 2*b + 4. Let f be k(4). Suppose s + 10 = f. Factor 0 + 1/4*c**s + 1/4*c.
c*(c + 1)/4
Let z(u) be the third derivative of -1/210*u**7 + 0*u + 0*u**3 + 1/60*u**5 + 0*u**4 + 0*u**6 + 4*u**2 + 0. Factor z(t).
-t**2*(t - 1)*(t + 1)
Suppose 2 + 5*t - 1/2*t**2 - 5/4*t**3 = 0. Calculate t.
-2, -2/5, 2
Suppose 10 = 4*h - 6. Solve -15 - 3*w**2 - 3*w**h + 4*w**4 + 15 + 2*w = 0 for w.
-2, 0, 1
Let m(c) be the third derivative of c**8/141120 - c**5/10 + 3*c**2. Let r(p) be the third derivative of m(p). Solve r(h) = 0.
0
Let h = 362 - 2530/7. Factor -6/7*j**3 - h + 6/7*j + 4/7*j**2.
-2*(j - 1)*(j + 1)*(3*j - 2)/7
Suppose 0 = -5*r + r. Let j = 2 - r. Factor -4*v**3 - 4*v**4 - v + 0*v**2 - 2*v**j + 11*v**3.
-v*(v - 1)**2*(4*v + 1)
Let s(p) be the first derivative of p**8/112 - p**7/70 - p**6/40 + p**5/20 + p**2 - 7. Let r(f) be the second derivative of s(f). Solve r(b) = 0 for b.
-1, 0, 1
Let v(b) = -b**2 - 4*b + 2. Let h(n) = n**2 - 7*n - 4. Let r be h(7). Let l be v(r). Determine w so that -2/3*w**l + 2/3 + 0*w = 0.
-1, 1
Let b(w) be the first derivative of w**4/42 - w**3/7 + 10*w - 5. Let y(z) be the first derivative of b(z). Factor y(c).
2*c*(c - 3)/7
Let w(y) be the first derivative of -y**5/5 + 3*y**4/4 - y**3/3 - 3*y**2/2 + 2*y + 2. Determine h, given that w(h) = 0.
-1, 1, 2
Factor 10/3*x**3 - 16/3*x**2 + 0 - 2/3*x**4 + 8/3*x.
-2*x*(x - 2)**2*(x - 1)/3
Suppose 1 = -2*y + 5. Let z = -61 - -245/4. What is v in 3/4*v - 3/4*v**y - z + 1/4*v**3 = 0?
1
Suppose -3*w - 3 = -3*p, 3*w = p + p. Find c such that -12*c**4 + 2*c**4 - 18*c**3 - 14*c**w + 2*c**5 - 4*c**5 + 0*c - 4*c = 0.
-2, -1, 0
Let q(w) be the third derivative of w**5/60 - w**2. Suppose q(b) = 0. Calculate b.
0
Let g be 4/(9 + (4 - 7)). Let -2/3*b**4 + 2*b**3 + 0 - 2*b**2 + g*b = 0. Calculate b.
0, 1
Let h(i) be the first derivative of 5*i**6/6 + 14*i**5 + 60*i**4 - 70*i**3/3 - 245*i**2/2 - 68. Factor h(u).
5*u*(u - 1)*(u + 1)*(u + 7)**2
Suppose -19*j + 6 = -16*j. Suppose -3/2*k + 1/2*k**j + 1 = 0. What is k?
1, 2
Suppose 0 = 14*r - 0. Factor -1/5*z**3 + r + 0*z - 1/5*z**4 + 1/5*z**5 + 1/5*z**2.
z**2*(z - 1)**2*(z + 1)/5
Find m such that 15/7*m**2 + 3/7*m**4 - 6/7*m + 0 - 12/7*m**3 = 0.
0, 1, 2
Let x(o) be the second derivative of o**6/720 - o**4/48 - o**3/2 + 3*o. Let b(u) be the second derivative of x(u). Factor b(l).
(l - 1)*(l + 1)/2
Solve 0 + 6/13*k**4 - 4/13*k**2 + 0*k + 10/13*k**3 = 0.
-2, 0, 1/3
Factor -6 - 28*r + 0*r + 2*r - 20*r**2.
-2*(r + 1)*(10*r + 3)
Let j(k) be the second derivative of -k**6/120 - k**5/16 - 7*k**4/48 - k**3/8 + 2*k + 11. Suppose j(f) = 0. Calculate f.
-3, -1, 0
Let p(j) be the third derivative of j**6/540 - j**5/30 + j**4/4 - j**3 - 4*j**2. Determine h, given that p(h) = 0.
3
Let p(q) be the 