5 + i*l - 4/3*l**2 + 4/3*l**4 - 2/3*l**3 = 0 for l.
-2, -1, 0, 1
Suppose -z - 3*a - 32 = 0, -3*z - 56 = -3*a + 2*a. Let b be (16/z)/((-4)/10). Factor -5*i**2 + 6*i - 4*i**b + 3 - i**2 + 1.
-2*(i - 1)*(5*i + 2)
Suppose 4*s - 44 = -5*z, 4*z + 5*s - 7 = 30. Let k(v) = 5*v**2 - 1. Let g be k(1). Suppose 0 - 118/7*l**3 + z*l**2 - 8/7*l + 10*l**g = 0. Calculate l.
0, 2/7, 2/5, 1
Let b = 115 - 689/6. Let h(x) be the second derivative of 0 + x**2 - b*x**4 + 1/3*x**3 - 1/10*x**5 + x. Factor h(r).
-2*(r - 1)*(r + 1)**2
Let v(w) be the third derivative of 1/168*w**8 + 0*w**3 + 0 + 2/15*w**5 - w**2 + 0*w + 1/10*w**6 + 4/105*w**7 + 1/12*w**4. Solve v(l) = 0.
-1, 0
Let b(v) be the first derivative of -2*v**3/15 + 4*v**2/5 - 17. Factor b(a).
-2*a*(a - 4)/5
Suppose 0 = 2*n - 0*n - 10. Let q(m) be the second derivative of -1/42*m**4 + 0*m**2 + 0*m**3 + 0*m**n - m + 1/105*m**6 + 0. Factor q(k).
2*k**2*(k - 1)*(k + 1)/7
Suppose 0*o = 5*o + 5*v + 5, 5*v + 26 = 2*o. Factor -6/5*d**4 + 6/5*d**o - 2/5*d**2 + 0*d + 0 + 2/5*d**5.
2*d**2*(d - 1)**3/5
Let w(b) = -8*b**3 - 7*b**2 - 6*b + 5. Let a(s) = 15*s**3 + 14*s**2 + 11*s - 9. Let t(y) = -4*a(y) - 7*w(y). Determine r, given that t(r) = 0.
-1, 1/4
Determine p, given that -4/7*p**2 + 8/7*p + 32/7 = 0.
-2, 4
Let c(u) be the first derivative of -u**8/252 + 2*u**7/315 + u**6/90 - u**5/45 + 5*u**2/2 - 6. Let a(v) be the second derivative of c(v). What is k in a(k) = 0?
-1, 0, 1
Let f(c) be the first derivative of c**4/7 - 8*c**3/21 - 10*c**2/7 + 24*c/7 - 36. Factor f(n).
4*(n - 3)*(n - 1)*(n + 2)/7
Suppose 3*q + 2*q - 20 = 0. Suppose q*l - 6 = l. Factor 2/3 + 4/3*v + 2/3*v**l.
2*(v + 1)**2/3
Let h(s) = 1. Let l(c) = -2*c**2. Let b(m) = 8*h(m) + l(m). Factor b(v).
-2*(v - 2)*(v + 2)
Suppose -2*f - 2*f = -p - 6, 0 = -4*f + 2*p + 8. Let j be f/7 - 6/(-42). What is r in -j*r**4 + 0 - 2/7*r + 2/7*r**2 + 2/7*r**3 = 0?
-1, 0, 1
Let y(o) be the third derivative of o**5/90 - o**4/18 + 5*o**2. Determine p so that y(p) = 0.
0, 2
Let o(j) be the first derivative of 27*j**5/5 + 9*j**4/2 - 20*j**3 + 12*j**2 - 7. Factor o(g).
3*g*(g + 2)*(3*g - 2)**2
Factor -6 + 5*u**4 + 970*u - 980*u + 1 + 10*u**3.
5*(u - 1)*(u + 1)**3
Let z = -125 - -127. What is y in -2*y - 1/2*y**3 + 0 + z*y**2 = 0?
0, 2
Let v(q) be the first derivative of -q**8/112 + 3*q**6/40 + q**5/10 - 3*q**2/2 + 5. Let r(w) be the second derivative of v(w). Determine c so that r(c) = 0.
-1, 0, 2
Let t(c) = 4*c**3 + 16*c**2 + 12*c + 4. Let n(l) = -l + 1. Let b(a) = 4*n(a) - t(a). Factor b(z).
-4*z*(z + 2)**2
Let c(l) = l**2 - l - 1. Let u(v) = -5*v**2 + 79*v - 719. Let y(p) = -3*c(p) - u(p). Factor y(o).
2*(o - 19)**2
Let f = 742/9 + -244/3. Let p = -906 + 8168/9. Factor p*s + f*s**2 + 4/9.
2*(s + 1)*(5*s + 2)/9
Suppose 0*r**4 + 0 + 1/7*r**5 + 1/7*r - 2/7*r**3 + 0*r**2 = 0. What is r?
-1, 0, 1
Let i be (8/(-32))/(1/(-8)). Let o(s) be the first derivative of -2 + 1/4*s**4 + 1/2*s**i - 1/20*s**5 - 1/4*s - 1/2*s**3. Determine u so that o(u) = 0.
1
Let k(i) be the first derivative of 12*i + 21/4*i**4 + 5*i**3 - 24*i**2 + 2. Factor k(w).
3*(w - 1)*(w + 2)*(7*w - 2)
Let j = 22 + -22. Let d(a) be the second derivative of -1/10*a**5 + 0*a**3 + 1/21*a**7 + 1/6*a**4 + j - 1/15*a**6 + 0*a**2 - 2*a. Let d(y) = 0. Calculate y.
-1, 0, 1
Let o(s) = -s**4 + s - 1. Let n = 23 - 9. Let x be 2*(2 - n/4). Let t(f) = -2*f**4 + 3*f**3 - 2*f**2 + f - 1. Let h(c) = x*o(c) + 3*t(c). Factor h(z).
-3*z**2*(z - 2)*(z - 1)
Factor 0 - 9/2*u**4 - 27/4*u**3 - 3*u**2 + 0*u - 3/4*u**5.
-3*u**2*(u + 1)**2*(u + 4)/4
Let j(g) be the first derivative of -2*g**3/9 + 2*g/3 - 2. Factor j(u).
-2*(u - 1)*(u + 1)/3
Factor 0 + 9/5*t**2 - 2/5*t + t**3.
t*(t + 2)*(5*t - 1)/5
Solve 4/5*a**2 + 8/5*a + 0 = 0.
-2, 0
Determine s so that 0*s + 0 + 2/3*s**3 + 1/3*s**4 + 1/3*s**2 = 0.
-1, 0
Let c(r) = -r**2 - r. Let u(f) = -2 - 4*f**2 - 3*f + 3*f + 6*f**2. Let z(m) = 3*c(m) + u(m). Factor z(t).
-(t + 1)*(t + 2)
Let o(v) be the second derivative of 3*v**5/20 + 3*v**4/2 + 9*v**3/2 + 6*v**2 - 30*v. Find a, given that o(a) = 0.
-4, -1
Suppose -5*d - 2 + 12 = 0. Factor -2/3*l**2 + 2/3*l**5 + 0 + 0*l - 2*l**4 + d*l**3.
2*l**2*(l - 1)**3/3
Factor 22*w - w**2 - w**3 - 21*w + w**4 + 0*w**2.
w*(w - 1)**2*(w + 1)
Let k(i) = i**2 - 1. Let y be k(0). Let p = -1 - y. Factor 2*t + 0 + p + 8*t**2.
2*t*(4*t + 1)
Let g(c) be the first derivative of c**6/36 - c**5/30 - c**4/24 + c**3/18 - 1. Suppose g(r) = 0. What is r?
-1, 0, 1
Solve 2/13*f**3 + 0*f + 0 - 2/13*f**2 = 0 for f.
0, 1
Let p = 863 + -31933/37. Let d = p - -41/74. Find t, given that -d*t**3 + t + 1/2*t**2 + 0 = 0.
-1, 0, 2
Let x(z) be the second derivative of -2*z - 3/10*z**2 - 1/20*z**4 - 1/5*z**3 + 0. Solve x(c) = 0.
-1
Let f(n) = -17*n**4 + 8*n**3 - n**2 - 16*n - 3. Let w(g) = -4*g**4 + 2*g**3 - 4*g - 1. Let i(c) = -6*f(c) + 26*w(c). Determine k so that i(k) = 0.
-1, 2
Suppose 0*f = -2*f + 6. Suppose -13 = -f*q - d + 2*d, -4*d = -5*q + 17. Factor q*c + 2*c**2 - 3*c - 3*c**2 - 1.
-(c - 1)**2
Suppose 4*x - 4 = -5*f + 13, -3 = -2*x + 3*f. Factor -1/6*y + 0 - 1/6*y**4 - 1/2*y**2 - 1/2*y**x.
-y*(y + 1)**3/6
Solve 0 + 2/11*v**2 - 2/11*v = 0.
0, 1
Let u be (217/35 - 5)*(-4)/(-12). Let 2/5*f**2 + 1/5*f**3 - 1/5*f - u = 0. Calculate f.
-2, -1, 1
Factor 1/2*p**2 + 1/2 - p.
(p - 1)**2/2
Let s(l) be the third derivative of -1/48*l**4 + 1/18*l**3 + 2*l**2 + 0 + 1/360*l**5 + 0*l. Solve s(u) = 0 for u.
1, 2
Let c = -39/215 - -25/43. Find k such that 0*k**2 + 0 - c*k**3 + 2/5*k = 0.
-1, 0, 1
Let q(z) be the third derivative of z**6/140 - 3*z**4/28 + 2*z**3/7 - 17*z**2. Let q(h) = 0. Calculate h.
-2, 1
Let n(g) be the third derivative of g**8/1512 + g**7/315 + g**6/270 - g**5/135 - g**4/36 - g**3/27 + 6*g**2. What is k in n(k) = 0?
-1, 1
Let u = -11/5 + 43/15. Suppose -y + 3*a - 7 = -6*y, -4*y + 2*a = -10. What is s in u*s - 4/3*s**3 + 0*s**y + 0 + 0*s**4 + 2/3*s**5 = 0?
-1, 0, 1
Determine y, given that -2/7*y**2 + 2/7*y**3 + 0 - 2/7*y + 2/7*y**4 = 0.
-1, 0, 1
Let u = -2263/90 + 126/5. Let l(s) be the first derivative of 0*s**5 + 0*s**3 - 2 + 1/12*s**4 + 0*s + 0*s**2 - u*s**6. Let l(w) = 0. What is w?
-1, 0, 1
Let q(v) be the first derivative of 3*v**6/40 + 7*v**5/40 - v**4/4 - 5*v**3/3 - 6. Let f(j) be the third derivative of q(j). Factor f(y).
3*(y + 1)*(9*y - 2)
Let r(n) be the second derivative of n**6/105 + n**5/35 - 2*n**3/21 - n**2/7 + 4*n. Find b such that r(b) = 0.
-1, 1
Suppose -4*g + 0*g = 0. Let f = -56/3 + 58/3. Factor -f*i**2 + 0*i + g.
-2*i**2/3
Suppose -u + 108 = 106. Solve 2/3*l - 2/3 + 2/3*l**u - 2/3*l**3 = 0 for l.
-1, 1
Let o(m) be the third derivative of -m**5/15 + m**4/3 + 2*m**3 + 2*m**2. Solve o(b) = 0 for b.
-1, 3
Let w(c) be the second derivative of -c**7/210 - 2*c**6/75 - c**5/20 - c**4/30 + c. Factor w(i).
-i**2*(i + 1)**2*(i + 2)/5
Suppose 4*s + 5 = 3*s. Let i = -3 - s. Let -i*f**4 + 4*f**3 + 3*f**4 + f**4 + 2*f**2 = 0. Calculate f.
-1, 0
Let a(q) = -q**2 - 13*q - 39. Let p be a(-6). Determine b so that 0 - 2/3*b**2 + 8/3*b**5 + 0*b + 14/3*b**4 + 4/3*b**p = 0.
-1, 0, 1/4
Let f(n) be the third derivative of n**8/168 - 2*n**7/105 - n**6/60 + n**5/15 - 18*n**2. Factor f(j).
2*j**2*(j - 2)*(j - 1)*(j + 1)
Let w(o) = -o - o**2 - 11 - 3*o + 3. Let h(g) = -3*g - 2*g + 3*g + 2 - 6. Let s(z) = 5*h(z) - 2*w(z). Find l such that s(l) = 0.
-1, 2
Let o(u) be the second derivative of -u**4/4 + u**3/2 + 11*u. Determine i so that o(i) = 0.
0, 1
Suppose -2*x = 13 + 3. Let s = x - -8. Factor 1/2*g**3 + s*g + 0 + 1/2*g**2.
g**2*(g + 1)/2
Let c(n) be the first derivative of 5/6*n**2 - 8/9*n**3 - 4 - 1/3*n + 1/3*n**4. Find z, given that c(z) = 0.
1/2, 1
Let p(r) = 12*r**2 - 14*r + 4. Let b(k) = -12*k**2 + 13*k - 4. Let c(g) = -2*b(g) - 3*p(g). Factor c(q).
-4*(q - 1)*(3*q - 1)
Factor 6*d**3 + 21/4*d**4 - 9*d**2 + 0 + 0*d.
3*d**2*(d + 2)*(7*d - 6)/4
Let o = 656/5 + -130. Determine b, given that 2/5*b**2 + 2/5*b**4 - 6/5*b - 4/5 + o*b**3 = 0.
-2, -1, 1
Let j(v) = -v**2 - 3*v + 7. Let t be j(-5). Let a be 14/6 + 1/t. Factor -1/5*n**4 + 1/5*n**3 + 0 - 1/5*n + 1/5*n**a.
-n*(n - 1)**2*(n + 1)/5
Factor -1/3 - 2*k**2 + 7/3*k.
-(k - 1)*(6*k - 1)/3
Suppose 0*j**3 + 0*j**2 - 2/7*j**4 + 0*j + 0 = 0. What is j?
0
Suppose 0 - 8*l - 2/3*l**3 - 8/3*l**4 + 2/3*l**5 + 32/3*l**2 = 0. What is l?
-2, 0, 1, 2, 3
