**5 + 0*l + x*l**2 + 0 - 1/4*l**3 = 0. What is l?
-1, 0, 1
Let x(q) be the third derivative of q**5/150 - 4*q**3/15 - 16*q**2. Factor x(i).
2*(i - 2)*(i + 2)/5
Let y = 31/7 - 23/7. Find b, given that -4/7*b**4 - 20/7*b**3 - 4/7 + 10/7*b**5 + y*b**2 + 10/7*b = 0.
-1, 2/5, 1
Suppose -3*t = -0*t. Let o(u) be the first derivative of 2/35*u**5 + 2/21*u**3 + 1/7*u**4 + 1 + 0*u + t*u**2. Suppose o(v) = 0. What is v?
-1, 0
Let i(j) = 2*j**2 + 1. Let p be i(1). Let z be p/6 + (-3)/(-2). Factor -l**2 + z*l**2 + 3*l - 5*l.
l*(l - 2)
Solve -1/4*y**2 + 0 - y = 0.
-4, 0
Let p(d) = -d**3 - 3*d**2 + d - 1. Suppose -l - 6 = -5*j, 4*l - l = -3*j + 18. Let x(i) = -4*i**3 - 10*i**2 + 4*i - 4. Let h(z) = l*x(z) - 14*p(z). Factor h(g).
-2*(g - 1)**2*(g + 1)
Let f(l) = -l**3 - 2*l**2 + l - 4. Let d = 11 + 3. Let n(v) = 3*v**3 + 7*v**2 - 2*v + 13. Let c(h) = d*f(h) + 4*n(h). Factor c(m).
-2*(m - 1)**2*(m + 2)
Let n(x) be the first derivative of -1 + 3*x + 7/2*x**3 - 27/4*x**2. Factor n(f).
3*(f - 1)*(7*f - 2)/2
Let w be -4*1*4/(-8). Let s(q) be the second derivative of 0*q**3 + 0*q**w + 3*q + 1/6*q**4 + 7/20*q**5 + 0. Solve s(r) = 0 for r.
-2/7, 0
Let t be ((-30)/12)/((-60)/8). Find d, given that 0*d - t*d**2 + 0 = 0.
0
Suppose -o - 5 = -0*o. Let n = o + 9. Factor 8/3*u**4 - 2/3*u**5 - 2/3*u + 8/3*u**2 + 0 - n*u**3.
-2*u*(u - 1)**4/3
Let j(v) = -4*v - 1. Let u be j(-4). Factor 2 - 2 - u*n + 11*n - 2*n**2.
-2*n*(n + 2)
Let n(z) be the second derivative of z**6/50 + 3*z**5/25 + 3*z**4/10 + 2*z**3/5 + 3*z**2/10 + 3*z. Find l, given that n(l) = 0.
-1
Let o be (5 - 2)*20/(-3). Let h be (-4)/o*20/6. Factor -1/3*w**2 + h*w - 1/3.
-(w - 1)**2/3
Let k(d) = 4*d**3 - 4*d**2 - 2*d + 2. Let l(q) = -5*q**3 + 4*q**2 + 3*q - 3. Let s(u) = 3*k(u) + 2*l(u). Find h such that s(h) = 0.
0, 2
Suppose j - 1 = 4. Determine v, given that -5*v**4 - v + 0*v**2 - 2*v + 12*v**3 - v**4 - 9*v**j + 6*v**2 = 0.
-1, 0, 1/3, 1
Suppose 0 = -h + 5 - 2. Let j = 6 - 2. Solve -w**5 - 3*w - 2*w**2 + 2*w**j + w + h*w = 0 for w.
-1, 0, 1
Suppose 4*l = -8 - 16. Let v be (-26)/l - 2/6. Let 5*m**2 + v - 4*m - 5*m**2 - 2 + 2*m**2 = 0. What is m?
1
Let a(f) be the second derivative of -1/5*f**5 + 3*f + 0 + 1/21*f**7 + 1/3*f**3 + 1/15*f**6 - 1/3*f**4 + f**2. Factor a(d).
2*(d - 1)**2*(d + 1)**3
Let h(f) = f**3 - 6*f**2 - 2. Let l be h(6). Let a be l/(-44)*(1 + 3). Factor 0 + 4/11*b**2 - 2/11*b**3 - a*b.
-2*b*(b - 1)**2/11
Suppose 7 = 5*b - 3. Let t(c) = -2*c - 1. Let i be t(-3). Let 3*q**5 - b*q**4 + 4*q**5 - i*q**5 = 0. Calculate q.
0, 1
Determine d so that 7*d**3 - 3*d**3 + 5*d**2 - 2*d**3 + 4 - 8*d - 3*d**3 = 0.
1, 2
Let u(r) = r**3 - 2*r**2 + 5*r - 4. Let j be u(3). Suppose -49*a**2 + j*a**3 - 16 + 133*a**2 + 26*a**3 + 8*a**4 + 40*a = 0. What is a?
-2, 1/4
Let c(t) = -t**4 - 16*t**3 - 20*t**2 - 8*t + 3. Let s(o) = -4*o**4 - 80*o**3 - 100*o**2 - 40*o + 16. Let j(z) = 16*c(z) - 3*s(z). Let j(l) = 0. What is l?
-2, -1, 0
Factor 2*q**4 - 22*q**5 - 17*q**5 + 38*q**5.
-q**4*(q - 2)
Let v(k) be the third derivative of -k**8/672 - k**7/210 + 2*k**2. Factor v(t).
-t**4*(t + 2)/2
Let a(r) be the second derivative of 0*r**2 + 0 + 1/24*r**3 + r + 1/48*r**4. Determine d so that a(d) = 0.
-1, 0
Let h(r) = -11*r**3 + 8*r**2 - 11*r - 7. Let o(t) = -5*t**3 + 4*t**2 - 5*t - 3. Let u be (1/(-2) - 1)*2. Let g(c) = u*h(c) + 7*o(c). Factor g(a).
-2*a*(a - 1)**2
Let c be ((-168)/630)/(4/(-186)). Determine n, given that -6*n**3 + 6/5*n**2 - 6*n**5 + 4/5*n - c*n**4 + 0 = 0.
-1, -2/5, 0, 1/3
Let y(b) = 2*b**3 - 6*b**2 - 12*b - 8. Suppose 3*n - 1 = s, -n + 4*s - 5 = 2. Let f be (2 - n) + 1 + 1. Let o(l) = -l**3. Let u(j) = f*o(j) + y(j). Factor u(w).
-(w + 2)**3
Let z(a) be the second derivative of 2*a**6/15 + 3*a**5/5 + a**4 + 2*a**3/3 - 24*a. Factor z(f).
4*f*(f + 1)**3
Find f, given that -4/5 - 6/5*f - 2/5*f**2 = 0.
-2, -1
Let w(f) be the third derivative of -f**6/30 - f**5/15 + f**4/3 - f**2. Solve w(a) = 0 for a.
-2, 0, 1
Let q(l) be the first derivative of 5*l**4/2 - 55*l**3/6 + 25*l**2/4 + 5*l - 58. Let q(i) = 0. Calculate i.
-1/4, 1, 2
Let q(y) be the first derivative of -2/5*y**5 + 0*y + 0*y**3 + 0*y**4 - 4 - 1/6*y**6 + 0*y**2. Suppose q(p) = 0. Calculate p.
-2, 0
Suppose -3 + 5 = p. Factor -2/3*j**p + 2/3 + 0*j.
-2*(j - 1)*(j + 1)/3
Let q(x) be the first derivative of -x**6/15 - 2*x**5/25 + x**4/10 + 2*x**3/15 + 1. Find n, given that q(n) = 0.
-1, 0, 1
Let i(c) be the third derivative of c**5/20 - c**4/2 + 2*c**3 - 2*c**2. Factor i(l).
3*(l - 2)**2
Let n(g) be the third derivative of g**6/390 - g**5/78 + g**4/78 - 35*g**2. Solve n(t) = 0 for t.
0, 1/2, 2
Let w(h) be the third derivative of h**8/60480 + h**7/3780 + h**6/540 - h**5/60 + 6*h**2. Let s(y) be the third derivative of w(y). Factor s(r).
(r + 2)**2/3
Let y = -249 + 499/2. Factor y - f + 1/2*f**2.
(f - 1)**2/2
Find l such that 2/19*l - 2/19*l**3 - 4/19 + 4/19*l**2 = 0.
-1, 1, 2
Let f = 15/7 - 83/42. Let q(w) be the second derivative of -1/12*w**4 + 0 + f*w**3 - 1/20*w**5 + 1/2*w**2 + w. Factor q(h).
-(h - 1)*(h + 1)**2
Suppose -7*v - v = -16. Factor 0*k + 0*k**v + 1/2*k**3 - 3/4*k**4 + 0.
-k**3*(3*k - 2)/4
Let l = -36/11 + 155/44. Determine k so that 0 + l*k**4 + 0*k + 1/4*k**2 - 1/2*k**3 = 0.
0, 1
Factor 4*w**2 + 2 + 58*w**3 - 2 + 4*w - 4*w**4 - 62*w**3.
-4*w*(w - 1)*(w + 1)**2
Suppose -5*t = 7 - 7. Let -4/5*q + t - 2/5*q**2 = 0. What is q?
-2, 0
Let z(d) be the third derivative of -1/150*d**5 + 0*d - 5*d**2 + 0 + 0*d**3 + 0*d**4. Let z(h) = 0. What is h?
0
Let i(g) = g**2. Let m(p) = -3*p**2. Suppose -3*a + 0*a = -6. Suppose 3*h - 5 = -a*h, -5*b + 5*h + 10 = 0. Let s(t) = b*m(t) + 8*i(t). Solve s(u) = 0.
0
Determine m, given that 0*m - 1/5*m**2 + 1/5 = 0.
-1, 1
Let b(m) be the first derivative of -7*m**3/3 + m**2/2 - 3*m + 1. Let o(q) = -8*q**2 + q - 4. Let r(t) = -4*b(t) + 3*o(t). Suppose r(g) = 0. Calculate g.
0, 1/4
Let z(u) be the second derivative of -u**7/1260 + u**6/1080 + u**4/6 - 8*u. Let m(j) be the third derivative of z(j). What is q in m(q) = 0?
0, 1/3
Let t = 18/41 + -21/328. Let f = 1/8 + t. What is b in -b**3 + b**2 - 1/2*b**4 + 1/2*b + f*b**5 - 1/2 = 0?
-1, 1
Suppose -5*k - 5 = -0*k. Let r be 2 - (3 - 2) - k. Factor 1/2*s**r + 0 - s.
s*(s - 2)/2
Let b(w) be the third derivative of -w**6/60 - 7*w**5/90 + 4*w**3/9 - 15*w**2. Find x, given that b(x) = 0.
-2, -1, 2/3
Let d(t) be the third derivative of t**10/40320 - t**9/10080 + t**7/1680 - t**6/960 + t**4/4 + 5*t**2. Let s(i) be the second derivative of d(i). Factor s(j).
3*j*(j - 1)**3*(j + 1)/4
Let h = 28 - 28. Let o(l) be the second derivative of -2*l - 1/60*l**5 + 0*l**3 - 1/36*l**4 + 0 + h*l**2. Factor o(r).
-r**2*(r + 1)/3
Let a be (-7)/(-3)*6/5. Factor -a*f**3 - 4/5*f - 18/5*f**2 + 0.
-2*f*(f + 1)*(7*f + 2)/5
Suppose 0 = -18*l + 15*l + 9. Factor 0 + 2/7*h - 2/7*h**5 + 0*h**l - 4/7*h**4 + 4/7*h**2.
-2*h*(h - 1)*(h + 1)**3/7
Find h such that 59 + 12*h - h**2 + 5*h**2 - h**2 - 47 = 0.
-2
Let y be (-7)/8*2 + (3 - 1). Factor -1/4*p**2 + 0 + 1/4*p**4 - 1/4*p**3 + y*p.
p*(p - 1)**2*(p + 1)/4
Suppose 2*v**2 - 2*v + 8*v - 3*v + 15*v = 0. What is v?
-9, 0
Let m(z) be the first derivative of z**2/2 + 4*z - 1. Let d be m(-2). Factor -3*u**4 + u**5 - 2*u**5 + d*u**4.
-u**4*(u + 1)
Suppose -7*s + 15 = -13. Solve -3/2*j**5 - 7/4*j**s + 3/2*j**3 + 2*j**2 + 0*j - 1/4 = 0 for j.
-1, -1/2, 1/3, 1
Let i = -48 - -145/3. Factor i*k**2 + 2/3*k + 0.
k*(k + 2)/3
Suppose -2*b + 3*b - 1 = 0. Let m be b/10 + 2/5. Factor -m*t**3 - 3/2*t**4 + t**2 + 0 + 0*t.
-t**2*(t + 1)*(3*t - 2)/2
Let j be -3 - (-3)/((-12)/(-28)). Let l(r) be the third derivative of 0*r + 0 - j*r**2 + 1/630*r**7 + 1/72*r**6 + 1/20*r**5 + 1/9*r**3 + 7/72*r**4. Factor l(n).
(n + 1)**3*(n + 2)/3
Let m(y) be the second derivative of 11*y**5/5 - 13*y**4/3 - 40*y**3/3 + 8*y**2 + 12*y. Determine l so that m(l) = 0.
-1, 2/11, 2
Factor -3*q**2 - 3 + 9 + 7 - 12*q - 1 + 3*q**3.
3*(q - 2)*(q - 1)*(q + 2)
Let r(p) be the first derivative of 1/16*p**4 - 1/8*p**2 - 2 + 0*p**3 + 0*p. Factor r(l).
l*(l - 1)*(l + 1)/4
Let n(q) be the second derivative of q**7/49 - q**6/10 + 9*q**5/140 + 17*q. Factor n(p).
3*p**3*(p - 3)*(2*p - 1)/7
Let v = 12 + -18. Let k(g) = -9*g**3 + 21*g**2 - 6*g. Let n(m) = -m**3. Let o(y) = v*n(y) - k(y). What is i in o(i) = 0?
0, 2/5, 1
Let z(g) b