/7*d**2.
-4*d*(d + 2)/7
Factor 0 - 6/7*b**3 - 24/7*b**2 - 24/7*b.
-6*b*(b + 2)**2/7
Suppose -10 + 22 = 6*z. Factor -1/3*l - 1/3*l**4 + 1/3*l**z + 1/3*l**3 + 0.
-l*(l - 1)**2*(l + 1)/3
Suppose -y + 0 = 2. Let l(v) = 2*v**2 + 2*v + 1. Let x be l(y). Solve 2*u**5 - u**5 + u**x = 0.
0
Find d, given that 1/2*d**2 + 1/3*d**3 + 0*d - 1/6 = 0.
-1, 1/2
Solve -385*w**4 - 200*w**3 + 521*w**5 + 387*w**5 - 20*w**2 - 303*w**5 = 0.
-2/11, 0, 1
Suppose 6*b = 3*b. Suppose b = -3*t - t + 20. Determine q, given that -2*q**4 - 5*q + 2*q**2 + 2*q**3 + 5*q - 24*q**5 + 22*q**t = 0.
-1, 0, 1
Let n = 185 + -181. Let -2*z**5 + 1/4*z - 29/4*z**3 - 11/4*z**2 - 13/2*z**n + 1/4 = 0. What is z?
-1, -1/2, 1/4
Let d(r) be the third derivative of -r**5/210 + r**4/14 - 3*r**3/7 + r**2. Solve d(p) = 0.
3
Let b = 22 + -14. Factor b*w - 14*w**2 - 7*w**2 + 8*w**3 + w**2.
4*w*(w - 2)*(2*w - 1)
Suppose 0 = 5*y + 3*n - 9, -3*n - 9 - 6 = -3*y. Find v such that -3/4*v**4 + 0*v - 1/4*v**5 - 3/4*v**y + 0 - 1/4*v**2 = 0.
-1, 0
What is y in 6*y**2 + 8*y**2 + 3*y**3 - 16*y**2 - y**4 = 0?
0, 1, 2
Let r = 21 - 15. Factor 0*n**2 + 5*n**2 - 2*n**2 - 9*n - r*n**2.
-3*n*(n + 3)
Suppose -20 + 8 = -4*c. Let n be c/(0 + 3) - -1. Determine h, given that -2*h + 2*h - 4*h - n*h**2 + 2*h = 0.
-1, 0
Let m(i) be the first derivative of -4*i**3/3 + i**2/2 - 8*i + 1. Let r(k) = -k**2 - 2. Let o(n) = -6*m(n) + 22*r(n). Find u, given that o(u) = 0.
1, 2
Let p(o) = -7*o**2 - 11*o - 4. Let y(t) = 11*t**2 + 17*t + 6. Let k(l) = l**2 + 7*l - 3. Let w be k(-8). Let s(u) = w*y(u) + 8*p(u). Factor s(a).
-(a + 1)*(a + 2)
Let m(v) = 3*v**2 + 6*v - 9. Let u(r) = r**2 + 2*r - 3. Let c(j) = 2*m(j) - 7*u(j). Find b such that c(b) = 0.
-3, 1
Suppose 2/7 - 2/7*x**3 - 6/7*x + 6/7*x**2 = 0. Calculate x.
1
Let a = -23 + 40. Let v(g) be the first derivative of 107/3*g**3 + 4*g + a*g**2 - 2 + 15*g**5 + 295/8*g**4. Determine b so that v(b) = 0.
-2/3, -1/2, -2/5
Let o(l) be the first derivative of 1/10*l**5 + 0*l**3 - 3 + 2*l + 0*l**2 + 1/6*l**4. Let t(m) be the first derivative of o(m). Factor t(y).
2*y**2*(y + 1)
Find h, given that 7/5*h**2 - 4/5 + 2/5*h**3 + 4/5*h = 0.
-2, 1/2
Determine j so that 0*j**2 + 0 + 0*j - 1/3*j**3 = 0.
0
Let q(w) be the first derivative of 35*w**6/6 - 12*w**5 + 15*w**4/4 + 10*w**3/3 - 13. Suppose q(s) = 0. What is s?
-2/7, 0, 1
Let n be -2*30/(-24) - 2*-1. Determine f, given that 3/2 - 9*f + n*f**4 + 18*f**2 - 15*f**3 = 0.
1/3, 1
Let t(o) be the third derivative of -o**6/600 - o**5/300 + o**4/120 + o**3/30 - 5*o**2. Factor t(y).
-(y - 1)*(y + 1)**2/5
Solve 15 + 60*r**2 + 50*r - 607*r**4 + 612*r**4 + 3*r**3 + 27*r**3 = 0.
-3, -1
Let y(u) be the third derivative of 1/560*u**8 + 9/100*u**5 + 0*u**4 + 0*u + 0*u**3 - 1/70*u**7 + 3/200*u**6 - 6*u**2 + 0. Factor y(o).
3*o**2*(o - 3)**2*(o + 1)/5
Factor -4/3*x**4 - 8*x**2 - 16/3*x**3 - 16/3*x - 4/3.
-4*(x + 1)**4/3
Factor 1/2*d - 1/2*d**2 + 0.
-d*(d - 1)/2
Let p be (2/9*6/(-4))/(-45). Let n(l) be the second derivative of 0 + 1/18*l**4 + 1/30*l**5 + p*l**6 - 4*l + 0*l**2 + 1/27*l**3. Find w such that n(w) = 0.
-1, 0
Let a be 2/(-11) - 2010/17864. Let f = -1/116 - a. What is w in -2/7*w**2 + 0 - f*w = 0?
-1, 0
Let u be 10/(-675)*(-1527)/28. Let f = u + -1/126. Suppose 0*q**3 - 2/5*q + 0 - f*q**2 + 2/5*q**5 + 4/5*q**4 = 0. Calculate q.
-1, 0, 1
Let y(m) be the third derivative of -m**5/330 - m**4/33 - 4*m**3/33 - 5*m**2. Suppose y(b) = 0. What is b?
-2
Determine n, given that 35/2*n**3 + 20*n + 87/2*n**2 + 2*n**4 - 8 = 0.
-4, -1, 1/4
Suppose 7 - 5 = c. Let 6 - 4*k**3 + 2*k**5 - 2*k**2 - 4 - c*k**2 + 2*k + 2*k**4 = 0. Calculate k.
-1, 1
Determine o, given that 0*o - 2/3*o**2 + 0 = 0.
0
Let j(m) = 2*m**2 + 6*m + 10. Let d = -6 - -12. Let z be ((-12)/(-9))/(4/d). Let i(r) = -10*r**2 - 29*r - 51. Let t(k) = z*i(k) + 11*j(k). Factor t(c).
2*(c + 2)**2
Let s(w) = -3*w**2 + 10*w + 5. Let h(k) = -2*k**2 + 5*k + 3. Let c(l) = 5*h(l) - 3*s(l). Factor c(d).
-d*(d + 5)
Let o be (2/4)/(1/4). Let a be (0 - (o - 3))*5. Factor 2/5*v**a - 2/5*v**2 - 2/5*v**3 + 2/5*v**4 + 0*v + 0.
2*v**2*(v - 1)*(v + 1)**2/5
Factor 0*o**3 + 0*o + 3/2*o**4 + o**5 - 1/2*o**2 + 0.
o**2*(o + 1)**2*(2*o - 1)/2
Let 0 + 5/4*w**3 - 15/4*w**2 + 15/4*w**4 - 5/2*w**5 + 5/4*w = 0. Calculate w.
-1, 0, 1/2, 1
Let o(k) be the third derivative of 0 + 0*k + 0*k**3 + 1/150*k**5 - 1/60*k**6 + 2*k**2 + 2/175*k**7 + 0*k**4. Factor o(j).
2*j**2*(2*j - 1)*(3*j - 1)/5
Let w = -190 + 1141/6. Factor 0*b - w*b**2 + 1/6.
-(b - 1)*(b + 1)/6
Suppose 0*i + 4*i = 0, 0 = x + 5*i. What is m in 4/9*m**2 + x - 2/9*m - 2/9*m**3 = 0?
0, 1
Let v = 3 + 15. Let y = v + -12. Solve -7*d + d**2 + 0 + d**3 - 1 + y*d = 0.
-1, 1
Suppose 0 = -3*s + 17 - 2. Factor 4/3*d**2 + 4/3*d**3 + 2/3*d**s + 0 + 0*d - 7/3*d**4.
d**2*(d - 2)**2*(2*d + 1)/3
Let q(d) = -d**3 - 11*d**2 - 37*d - 25. Let m(x) = 2*x**3 + 22*x**2 + 75*x + 50. Let a(k) = -6*m(k) - 15*q(k). Factor a(t).
3*(t + 1)*(t + 5)**2
Let f = 7 + -5. Factor 0*u**5 - f*u**4 + 3*u**4 - 2*u**4 + u**5.
u**4*(u - 1)
Let i be 42/189*18/7. Factor -5/7*q**2 + 8/7*q + 1/7*q**3 - i.
(q - 2)**2*(q - 1)/7
Suppose -q + 2 = -11*a + 9*a, -3*q - a = 1. Suppose -2/3*r**3 + q*r - 8/3*r**4 + 0 - 2*r**5 + 0*r**2 = 0. What is r?
-1, -1/3, 0
Let v(d) be the second derivative of 5/66*d**4 + 0 - 2/11*d**2 + 3*d + 1/11*d**3. Factor v(m).
2*(m + 1)*(5*m - 2)/11
Suppose 9*q - 3 = 8*q. Let d(n) be the second derivative of 0 - 1/6*n**q - 1/20*n**5 - 1/6*n**4 + 3*n + 0*n**2. Find a, given that d(a) = 0.
-1, 0
Suppose 0 - 1/4*d - 1/4*d**2 = 0. Calculate d.
-1, 0
Let m(z) be the second derivative of 0*z**2 - 1/6*z**4 + 1/3*z**3 - 1/10*z**5 - 3*z + 1/15*z**6 + 0. Factor m(l).
2*l*(l - 1)**2*(l + 1)
Let k(m) be the first derivative of m**7/420 + m**6/140 - m**5/35 - m**4/21 - 7*m**3/3 - 3. Let t(i) be the third derivative of k(i). Factor t(u).
2*(u - 1)*(u + 2)*(7*u + 2)/7
Let p(h) = h**4 - 21*h**3 + 39*h**2 - 3*h - 3. Let y(l) = 2*l**4 - 22*l**3 + 38*l**2 - 2*l - 2. Let z(d) = 2*p(d) - 3*y(d). Determine o, given that z(o) = 0.
0, 3
Let t(z) = 7*z**3. Let o(a) = 10*a**3. Let g = 7 + -14. Let r(j) = g*t(j) + 5*o(j). Let r(c) = 0. Calculate c.
0
Suppose -4*g + 12 = -9*g + 3*r, 3*r = -2*g + 12. Suppose g + 2/11*x**2 + 6/11*x = 0. What is x?
-3, 0
Let z = -2185/3 - -729. Factor 2*y - z*y**2 - 4/3.
-2*(y - 2)*(y - 1)/3
Let n be (-2)/8 - 4/(-12). Let i(k) be the third derivative of -2*k**2 - n*k**4 + 0*k + 1/6*k**3 + 0 + 1/60*k**5. Determine o so that i(o) = 0.
1
Let b(j) = 3*j**5 + 6*j**4 - 6*j**3 - 6*j**2 + 6*j. Let p(t) = 8*t**5 + 18*t**4 - 17*t**3 - 17*t**2 + 17*t. Let u(n) = 17*b(n) - 6*p(n). Factor u(r).
3*r**4*(r - 2)
Suppose 0 = 4*s + 2*r + 3*r - 2, 4*r + 20 = 4*s. Let y = s - 1. Factor t + 0*t**2 - y - 2*t**3 + 2*t**2 + t.
-2*(t - 1)**2*(t + 1)
Let k(y) be the third derivative of y**7/15120 - y**6/2160 + y**5/720 + y**4/12 - 5*y**2. Let l(h) be the second derivative of k(h). Factor l(d).
(d - 1)**2/6
Factor 4/3 + 5/3*z + 1/3*z**2.
(z + 1)*(z + 4)/3
Suppose -3*g + 5*g = 8*g. Factor g + 0*o**3 - 3/7*o + 6/7*o**4 + 3/7*o**5 - 6/7*o**2.
3*o*(o - 1)*(o + 1)**3/7
Suppose 3*l + 2*w = -6, -w - 9 = -l + 2*w. Suppose -5*z + 5 + 5 = l. Factor 0 - 2/7*y**3 - 8/7*y - 8/7*y**z.
-2*y*(y + 2)**2/7
Suppose -18 = -2*i + h + 2*h, 0 = 3*i + 2*h - 14. Suppose 3*n = -0*n + i. Factor 1/4 - 7/4*j - 2*j**3 + 7/2*j**n.
-(j - 1)*(2*j - 1)*(4*j - 1)/4
Let w(k) be the first derivative of 2*k**5/15 + 11*k**4/18 + 4*k**3/9 + 3. Solve w(v) = 0 for v.
-3, -2/3, 0
Let g = -11 - -21. Let k = g + -19/2. Let -k*z**2 + 1/2 + 0*z = 0. Calculate z.
-1, 1
Let o(f) = -f**3 - 2*f**2 + 2*f + 3. Let q be o(-3). Let r(p) = p**3 - 5*p**2 - 5*p - 4. Let d be r(q). Suppose 2*s**d - 2*s**2 + 2 - 2*s**2 = 0. Calculate s.
-1, 1
Suppose -37 + 12 = -5*j. Factor 18*v + 0*v**5 - 10*v**2 - 12*v**4 + 28*v**3 - 2*v**j - 4 - 22*v**2 + 4*v**5.
2*(v - 2)*(v - 1)**4
Let b(d) be the third derivative of d**8/168 + d**7/35 - 2*d**5/15 + 38*d**2. Factor b(p).
2*p**2*(p - 1)*(p + 2)**2
Let h(g) = 3*g**2 - g + 2. Let y be h(5). Let r = -141/2 + y. Factor r*f**2 - 1 + 1/2*f.
(f + 1)*(3*f - 2)/2
Let y be (-5)/(-15)*(6/3 + 13). Let k(f) be the first derivative of 2 + 1/3*f - 1/3*f**3 - 1/6*f**2 + 2/15*f**y + 1/12*f**4. Factor k(t).
(t - 1)*(t + 1)**2*(2*t - 1)/3
What is k in 2*k**4 - 8/3 + 