4 + a + l*a**3 = 0. What is a?
0, 1
Let m = -3 - 5. Let l = m + 11. Find c, given that 0 + 0*c**2 + 2/5*c**l + 2/5*c**4 + 0*c = 0.
-1, 0
Let p(b) be the first derivative of -b**6/9 - 8*b**5/15 - 2*b**4/3 + 8. Factor p(d).
-2*d**3*(d + 2)**2/3
Let c(k) be the second derivative of 0 - 1/30*k**4 + 0*k**5 - k + 0*k**3 + 1/75*k**6 + 0*k**2. Solve c(t) = 0.
-1, 0, 1
Let r(t) be the second derivative of -t**4/36 + t**3/18 + t**2/3 + 8*t. Solve r(h) = 0 for h.
-1, 2
Let h = 68 + -336/5. Let s be (-21)/15*-1 - 1. Factor s*i - h + 2/5*i**2.
2*(i - 1)*(i + 2)/5
Suppose 31 - 1 = 5*q. Let w be 1*(-1 - q/(-5)). Suppose -1/5*r**4 + 1/5*r**3 + 0 + w*r**2 - 1/5*r = 0. What is r?
-1, 0, 1
Let f(b) = -b**3 + 4*b**2 - b - 3. Let w be f(3). Let l(a) be the first derivative of -4/15*a**w + 1/5*a**2 + 1/10*a**4 - 3 + 0*a. Determine q so that l(q) = 0.
0, 1
Suppose -288 = y + 3*y. Let z be (-38)/y + (-26)/(-117). Factor 3/4*m**3 - 3/4*m - z*m**2 + 3/4.
3*(m - 1)**2*(m + 1)/4
Let l(n) be the first derivative of -1/4*n - 1/4*n**3 + 1/16*n**4 + 2 + 3/8*n**2. What is x in l(x) = 0?
1
What is z in -42*z**4 - 128*z**3 - 36*z - 221*z**2 + 53*z**2 - 91*z**3 + 45*z**5 = 0?
-1, -2/3, -2/5, 0, 3
Let i = -31/6 + 13/2. Solve i*g + 0 + 2*g**2 = 0 for g.
-2/3, 0
Let w(r) be the first derivative of -r**6/90 + r**5/60 + r**4/36 - r**3/18 + 2*r + 4. Let a(o) be the first derivative of w(o). Factor a(c).
-c*(c - 1)**2*(c + 1)/3
Factor 2*o**3 + 4/5*o**2 + 0*o + 2/5*o**5 + 8/5*o**4 + 0.
2*o**2*(o + 1)**2*(o + 2)/5
Solve 3/2*i**3 + 3/2*i**4 + 0 - 15/2*i**2 + 9/2*i = 0.
-3, 0, 1
Let t(j) be the second derivative of j**7/252 - j**6/45 + j**5/30 + j**4/36 - 5*j**3/36 + j**2/6 + 2*j. Determine o so that t(o) = 0.
-1, 1, 2
Let u(b) be the first derivative of -b**6/57 + 4*b**5/95 + 4*b**4/19 + 4*b**3/57 - 7*b**2/19 - 8*b/19 + 6. Determine l, given that u(l) = 0.
-1, 1, 4
Suppose -2*q + 4*b + 12 = 0, -3*q + b = -2*b - 15. Suppose 0 = 4*f + 5*a - 11, 5*a - a + 20 = q*f. Factor 2*w**2 + 0*w**2 - 3*w**2 + 8 - f.
-(w - 2)*(w + 2)
Let i(n) be the first derivative of -n**5/15 - n**4/6 + 2*n**2 - 8. Let u(f) be the second derivative of i(f). Factor u(z).
-4*z*(z + 1)
Let u(f) be the third derivative of -f**8/672 + f**7/420 + f**6/240 - f**5/120 + 12*f**2. Factor u(k).
-k**2*(k - 1)**2*(k + 1)/2
Let l(p) = -5 + 3*p + 4*p**2 + 5*p - 10*p + p**3. Let j be l(-4). Factor 2/7 - 2/7*f - 2/7*f**5 - 4/7*f**2 + 4/7*f**j + 2/7*f**4.
-2*(f - 1)**3*(f + 1)**2/7
Let k(c) = -2*c - 25. Let i be k(-15). Let o(v) be the first derivative of 1/15*v**i - 1/4*v**4 + 1/3*v**3 - 1/6*v**2 - 3 + 0*v. Factor o(l).
l*(l - 1)**3/3
Let v(a) = -a**2 + 3*a + 2. Let n(g) = -2*g + 1. Let m be n(-1). Let o be v(m). Factor 0*k**2 - o*k**3 + 3*k - 4*k**2 - 5*k.
-2*k*(k + 1)**2
Let i(f) = -2*f - 2. Let y(b) = -b**2 - 8*b + 6. Let v be y(-9). Let p be i(v). Let -3*j**3 + 4*j**5 - 3*j**4 - j**5 - 21*j**2 + 12 + 12*j**p = 0. Calculate j.
-2, -1, 1
Let f(x) = -7*x**3 + 31*x**2 - 101*x + 72. Let k(b) = -6*b**3 + 30*b**2 - 100*b + 72. Let y(i) = 4*f(i) - 5*k(i). Suppose y(w) = 0. Calculate w.
1, 6
Let i(y) be the first derivative of -3*y**7/280 + y**6/32 - 7*y**5/240 + y**4/96 + 3*y**2/2 - 1. Let h(b) be the second derivative of i(b). Factor h(n).
-n*(n - 1)*(3*n - 1)**2/4
Factor -3 + 17 - 2*k**4 + 18*k**2 + 2*k**3 + 22*k - 6 + 0*k**3.
-2*(k - 4)*(k + 1)**3
Let f(v) be the second derivative of -v**6/45 - 7*v**5/30 - v**4/3 - 12*v. Factor f(o).
-2*o**2*(o + 1)*(o + 6)/3
Let b(o) be the second derivative of -o**3/3 - 2*o**2 + 2*o. Let x be b(-4). Factor -12*u**3 + 7*u**2 + 4*u**4 + u**2 + x*u**4 - 2*u - 2*u**5.
-2*u*(u - 1)**4
Let v(b) be the second derivative of b**7/11340 - b**6/810 + b**5/135 - b**4/4 + 3*b. Let z(m) be the third derivative of v(m). Factor z(n).
2*(n - 2)**2/9
Suppose 6/7*t + 3/7*t**2 + 0 = 0. Calculate t.
-2, 0
Let g(y) be the first derivative of -y**6/12 + y**5/2 - 5*y**4/4 + 5*y**3/3 - 5*y**2/4 + y/2 + 2. Suppose g(c) = 0. Calculate c.
1
Let w(f) = 3*f**5 - 5*f**3 + 6*f**2 + 4*f - 4. Let c(b) = 3*b**5 - 6*b**3 + 6*b**2 + 3*b - 3. Let s(a) = 4*c(a) - 3*w(a). Let s(q) = 0. What is q?
-2, 0, 1
Let b be (8/6)/(4/(-114)). Let z = b - -79/2. Factor -3/2*w**2 + z - 3/2*w + 3/2*w**3.
3*(w - 1)**2*(w + 1)/2
Let u(y) = 10*y**5 - 8*y**3 - 6*y**2 + 4*y + 6. Let z(q) = -9*q**5 + 8*q**3 + 5*q**2 - 4*q - 5. Let l(s) = 5*u(s) + 6*z(s). What is n in l(n) = 0?
-1, 0, 1
Determine z so that 0*z - 2*z**2 - 3*z - 5 + 3 - z = 0.
-1
Let x(o) be the first derivative of o**3/3 + 2*o**2 + 2*o + 2. Let u be x(-4). Factor 5*h + 0*h**u - 2*h**2 - h.
-2*h*(h - 2)
Let a(g) be the third derivative of -g**7/2520 - g**6/1080 + 2*g**3/3 - 5*g**2. Let r(o) be the first derivative of a(o). Factor r(v).
-v**2*(v + 1)/3
Let q(a) = -4*a**4 - 8*a**3 + 4*a**2 + 2*a. Let x(l) = -l**3 - l**2 - l. Let o(j) = -q(j) + 2*x(j). Factor o(v).
2*v*(v - 1)*(v + 2)*(2*v + 1)
Let n(r) = -10*r**4 - 3*r**3 + 16*r**2 + 22*r + 13. Let s(d) = -7*d**4 - 2*d**3 + 11*d**2 + 15*d + 9. Let z(x) = 5*n(x) - 7*s(x). Factor z(q).
-(q - 2)*(q + 1)**3
Factor 20*v - 2*v**3 + 10 + 2 - 2*v**3 - 3*v**2 + 7*v**2.
-4*(v - 3)*(v + 1)**2
Let g(l) = -17*l**3 + 16*l**2 - 10*l - 7. Let w(p) = 2*p**3 + 0*p**3 + 8*p**2 - 2*p**3 - 8*p**3 - 5*p - 3. Let a(j) = 4*g(j) - 9*w(j). Factor a(x).
(x - 1)*(2*x - 1)**2
Suppose 8*f - 4*f - 5*x - 6 = 0, 2*f = -4*x + 16. Let y(l) be the second derivative of 0 - 4*l - 1/15*l**6 - 1/5*l**5 + 0*l**2 + 0*l**f + 0*l**3. Factor y(p).
-2*p**3*(p + 2)
Let h(m) be the second derivative of m**6/660 + m**5/330 - m**4/66 - m**2 + 6*m. Let w(l) be the first derivative of h(l). Suppose w(u) = 0. What is u?
-2, 0, 1
Let a(w) be the third derivative of -5*w**8/336 - w**7/42 + w**6/12 + w**5/6 - 5*w**4/24 - 5*w**3/6 + 13*w**2. Find d, given that a(d) = 0.
-1, 1
Let z(o) be the third derivative of o**6/30 - 4*o**5/15 + o**4/2 + 32*o**2. Factor z(n).
4*n*(n - 3)*(n - 1)
Let l = 308999/452781 - -2/21561. Let i = -1/63 + l. What is q in 4/3*q - 2/3*q**2 - i = 0?
1
Let b(y) be the third derivative of y**6/660 + y**5/330 - y**4/66 - y**2. What is s in b(s) = 0?
-2, 0, 1
Let i(h) be the first derivative of -3/5*h**5 - 4 - 54*h**3 + 162*h**2 + 9*h**4 - 243*h. Solve i(s) = 0.
3
Let g be 11/(-110)*(-15)/2. Factor -3/4*s**3 + g*s + 0*s**2 + 0.
-3*s*(s - 1)*(s + 1)/4
Let l(x) be the second derivative of -x**8/10080 - x**7/3780 + x**6/540 - x**4/3 - 9*x. Let w(o) be the third derivative of l(o). Let w(i) = 0. What is i?
-2, 0, 1
Suppose 10 = -7*r + 12*r. Factor -1 - 1/2*h**r - 3/2*h.
-(h + 1)*(h + 2)/2
Let v be (-51)/34 - 7/(-2). Suppose 0 - 64/9*x**v - 98/9*x**4 - 154/9*x**3 - 8/9*x = 0. Calculate x.
-1, -2/7, 0
Suppose -4*k - k - 11 = -3*p, -4*p - 5*k + 3 = 0. Solve -1/6*l**3 + 1/6*l**p + 1/3*l + 0 = 0 for l.
-1, 0, 2
Suppose -6/5*u**2 - 2/5 + 6/5*u + 2/5*u**3 = 0. Calculate u.
1
Let w = 6 + -9. Let y(l) = -5*l**3 + 5*l**2 + l. Let x(u) = -14*u**3 + 14*u**2 + 4*u. Let o(c) = w*x(c) + 8*y(c). Factor o(s).
2*s*(s - 2)*(s + 1)
Let i(t) be the third derivative of 0*t**3 - t**2 + 0*t**6 + 0*t + 0 - 1/840*t**7 + 1/240*t**5 + 0*t**4. Factor i(f).
-f**2*(f - 1)*(f + 1)/4
Let g = 4 - 6. Let m(v) = 8*v**2 + 16*v + 9. Let b(z) = -2*z**2 - 4*z - 2. Let h(q) = g*m(q) - 9*b(q). Suppose h(r) = 0. Calculate r.
-2, 0
Let p(k) be the first derivative of 3*k**4/20 + 4*k**3/5 - 21*k**2/10 - 6*k + 12. Factor p(d).
3*(d - 2)*(d + 1)*(d + 5)/5
Let w(d) = d**5 - 2*d**4 - 3*d**3 - 4*d**2. Let i(r) = -2*r**5 + r**4 + 3*r**3 + 5*r**2. Let a(o) = 4*i(o) + 5*w(o). Factor a(j).
-3*j**3*(j + 1)**2
Solve 0 + 5*c + 5/2*c**2 = 0 for c.
-2, 0
Let d be 29/319*(3 - 1). Solve 10/11*k**2 + d*k**4 + 0 + 4/11*k + 8/11*k**3 = 0 for k.
-2, -1, 0
Suppose -n + 1 + 7 = 0. Suppose -3*d + n*d - 10 = 0. Find a such that -7*a**3 - a**5 + 2*a + 6*a**5 - 3*a**d - a**4 + 4*a**4 = 0.
-1, 0, 2/5, 1
Let t(n) be the first derivative of -n**6/15 + n**5/5 - n**4/6 - 3*n - 2. Let p(r) be the first derivative of t(r). Factor p(u).
-2*u**2*(u - 1)**2
Let n be 1/6 - 31/186. Factor n*a**2 - 2/5*a**3 + 6/5*a - 4/5.
-2*(a - 1)**2*(a + 2)/5
Factor 8/3*l**2 + 2/3*l**3 + 8/3*l + 0.
2*l*(l + 2)**2/3
Let v(h) be the second derivative of h**10/196560 + h**9/32760 + h**8/14560 + h**7/16380 + h**4/4 - 7*h. Let d(m) be the third derivative of v(m). Factor d(t).
2*t**2