et a(d) = 3*d**2 - d + 3. Suppose -5*z - 8 + 3 = 0. Let o(v) = -v**2 + v - 1. Let h(b) = z*a(b) - 5*o(b). Factor h(i).
2*(i - 1)**2
Suppose 2*d**3 + 6*d**4 - 7*d**4 - d**4 = 0. Calculate d.
0, 1
What is z in -76*z**4 + 6 - 87*z**2 + 4*z**5 + 19*z + 9*z**5 - 19*z**2 + 144*z**3 = 0?
-2/13, 1, 3
What is y in 1/4*y**5 - 1/4*y**2 - 1/4*y**3 + 1/4*y**4 + 0*y + 0 = 0?
-1, 0, 1
Find n such that -1/8*n**3 - 10*n + 17/8*n**2 + 8 = 0.
1, 8
Factor n + 2*n + 10*n**2 - n + 9*n**4 + 3*n**2 + 24*n**3.
n*(n + 2)*(3*n + 1)**2
Let k be (-16)/(-10) + (-8)/(-20). Suppose -k*b + 8 = 2*b. Determine y so that -1/5*y**b - 1/5 + 2/5*y = 0.
1
Let n be 387/3240 + 1/(-9). Let v(x) be the third derivative of x**2 + 0 - n*x**5 - 1/240*x**6 + 0*x + 0*x**4 + 0*x**3. Solve v(k) = 0.
-1, 0
Let b = 3/7 + 5/21. Solve 1/3*i + b - i**2 = 0.
-2/3, 1
Let h(i) be the third derivative of 9*i**5/140 + i**4/8 - i**3/7 - 13*i**2. Factor h(w).
3*(w + 1)*(9*w - 2)/7
Let b = 1173 + -2345/2. Suppose 2*u**2 - b*u**3 - 5/2*u + 1 = 0. Calculate u.
1, 2
Let d(s) = -5*s**3 + s**2 - 2*s - 4. Let i(g) = -4*g**3 + g**2 - g - 3. Let z(v) = -3*d(v) + 4*i(v). Suppose z(x) = 0. What is x?
-1, 0, 2
Determine l, given that 2*l**2 + 0*l - 5*l + l = 0.
0, 2
Suppose -2 = -2*i + 2. Let m(b) be the second derivative of 1/150*b**6 - 1/60*b**4 + 1/100*b**5 + 0 - 1/30*b**3 + 0*b**i - 2*b. Find t such that m(t) = 0.
-1, 0, 1
Let q be ((-20)/84 - (-12)/21)*1. Let q*f**2 + 0*f - 1/3*f**3 + 0 = 0. What is f?
0, 1
Let i(b) = b**3 + b**2 - b - 1. Let z(j) = 10*j**3 + 4*j**2 - 6*j - 8. Let h(o) = 8*i(o) - z(o). Factor h(f).
-2*f*(f - 1)**2
Let w be 0/(8/4) + 2. Factor 9*n**3 + 6*n**2 - 8*n + 0*n**3 - 2*n**w - 5*n**3.
4*n*(n - 1)*(n + 2)
Let a(i) = i**3 - 5*i**2 - 7*i + 8. Let y be a(6). Suppose o - 4 = -0*o, j - 6 = -o. Let -c**y + c**2 + 2*c**j - 2 = 0. What is c?
-1, 1
Let r(h) be the third derivative of -h**7/630 - 11*h**6/360 - 7*h**5/30 - 8*h**4/9 - 16*h**3/9 - 19*h**2. Factor r(d).
-(d + 1)*(d + 2)*(d + 4)**2/3
Factor -5*s**4 + 564*s**3 - 5*s + 15*s**2 - 2 - 8 - 559*s**3.
-5*(s - 2)*(s - 1)*(s + 1)**2
Let n(k) be the first derivative of -3*k**4/7 - 2*k**3/7 + 24*k**2/7 + 24*k/7 - 41. Let n(t) = 0. Calculate t.
-2, -1/2, 2
Let h(v) be the third derivative of v**8/588 - v**7/735 - v**6/105 + v**5/70 - 7*v**2. What is y in h(y) = 0?
-3/2, 0, 1
Suppose 0 = 3*v - 5*v + 4. Factor 2*r**2 + 2*r - 3*r**2 - r + v*r**2.
r*(r + 1)
Let b(g) = g**3 + 3*g**2 - 2. Let y be b(-2). Factor -l**y + 26 - 26.
-l**2
Let w(m) be the third derivative of -m**6/120 - m**5/30 + m**4/24 + m**3/3 - 9*m**2. Determine p, given that w(p) = 0.
-2, -1, 1
Let i be 6/21 + 19/7. Let s(b) = 26*b**2 - 10. Let h(n) = 6*n**2 + n**2 - 2 - 2*n**2. Let m(a) = i*s(a) - 16*h(a). Let m(d) = 0. Calculate d.
-1, 1
Let i be ((-9)/(-15))/((-18)/(-75)). Factor 1/2*y**4 + y + 2*y**3 + i*y**2 + 0.
y*(y + 1)**2*(y + 2)/2
Factor -7*a**5 + 3*a**3 - 2*a + a**5 + 5*a**5 + a**4 - a**2.
-a*(a - 2)*(a - 1)*(a + 1)**2
Let x(b) = 7*b**3 - 10*b**2 + 4*b. Let i(q) = q + q - q - 8. Let z be i(4). Let u(d) = 8*d**3 - 11*d**2 + 5*d. Let a(v) = z*u(v) + 5*x(v). Factor a(l).
3*l**2*(l - 2)
Suppose 3*z - 2*z = 5*o - 39, -2*o - 2*z = -18. Let m be -2 + 4 - 12/o. Factor 1/2*d**2 + 0*d - m.
(d - 1)*(d + 1)/2
Let g(w) = -3*w**2 - 2*w - 9. Let r(j) = 4*j**2 - 5*j**2 + 3*j - 4 - 4*j. Let u(a) = -4*g(a) + 10*r(a). Let u(q) = 0. What is q?
-1, 2
Let f(i) = -i**3 + 15*i**2 + 2*i - 26. Let p be f(15). Let c(l) be the first derivative of 4/3*l**3 - 4*l + l**2 - 1/2*l**4 - p. Find d, given that c(d) = 0.
-1, 1, 2
Let t(i) = -i**2 - i + 1. Let x(n) = -2*n - 4. Let k(v) = -2*t(v) - x(v). What is h in k(h) = 0?
-1
Let h = 21 - 18. Suppose -h*n + 6 = -5*o, -4*o = 2*n + o - 4. Solve 0 + 6*d**n - 4/3*d = 0 for d.
0, 2/9
Let s(o) = -368*o**3 - 1128*o**2 - 528*o + 204. Let q(r) = -67*r**3 - 205*r**2 - 96*r + 37. Let i(p) = -28*q(p) + 5*s(p). Let i(y) = 0. Calculate y.
-2, -1, 2/9
Suppose 2*y = -4*z + 18, 5*z - 33 = -0*y + y. Factor 2 + d**3 + 3*d**3 + z*d - 2*d**3 + 0*d**3 + 6*d**2.
2*(d + 1)**3
Let f(y) be the first derivative of y**7/2520 - y**6/1080 - 7*y**3/3 - 2. Let w(s) be the third derivative of f(s). Factor w(v).
v**2*(v - 1)/3
Let k(f) = f**2 + 55*f - 103. Let b(j) = -j**2 - 28*j + 52. Let d(s) = 7*b(s) + 4*k(s). Determine h, given that d(h) = 0.
4
Factor 15/8*c**2 - 3/4 - 3/2*c**3 + 21/8*c.
-3*(c - 2)*(c + 1)*(4*c - 1)/8
Let t(k) be the first derivative of k**4/8 + 5*k**3/9 - 2*k**2/3 + 4. Determine o so that t(o) = 0.
-4, 0, 2/3
Factor 2*y - 1/4*y**2 - 4.
-(y - 4)**2/4
Let r be (4 - (-4 - -1))*(-10)/(-35). Let a(y) be the first derivative of 4/9*y - 2/27*y**3 - 1/9*y**r - 3. Find i, given that a(i) = 0.
-2, 1
Let p(a) be the third derivative of 1/60*a**4 + 0 - 2/15*a**3 + 0*a + 1/150*a**5 + 2*a**2. Factor p(k).
2*(k - 1)*(k + 2)/5
Let n(v) = 15 + 12*v - v**2 - 36*v + 26. Let r(o) = o**2 + 36*o - 61. Let x(k) = 7*n(k) + 5*r(k). Determine h so that x(h) = 0.
3
Let y be (((-6)/(-20))/(12/10))/4. Let d(n) be the first derivative of -y*n**4 + 0*n + 1/8*n**2 + 0*n**3 - 1. Solve d(k) = 0.
-1, 0, 1
Let i(w) = 3*w**5 + 9*w**4 - 9*w**3 - 9*w**2 + 6*w + 6. Let x(r) = -3*r**5 - 8*r**4 + 8*r**3 + 10*r**2 - 5*r - 6. Let z(l) = 2*i(l) + 3*x(l). Solve z(d) = 0.
-2, -1, 1
Suppose -8 = -3*k + 7. Factor -k*v - 3*v**2 + 2*v**2 + 1 - 5 + v.
-(v + 2)**2
Let a(y) be the first derivative of y**5/4 + 35*y**4/16 + 25*y**3/4 + 45*y**2/8 + 7. Factor a(t).
5*t*(t + 1)*(t + 3)**2/4
Let b(g) = 3*g**2 - 18*g + 12. Let j(p) = -2 + 5 - 1 - 1 - p. Let n(m) = b(m) - 12*j(m). Factor n(v).
3*v*(v - 2)
Let s(p) be the first derivative of -p**4/8 - p**3/6 + 2. Factor s(h).
-h**2*(h + 1)/2
Let f(h) be the third derivative of h**5/450 + h**4/90 - h**3/15 - 7*h**2. Find a such that f(a) = 0.
-3, 1
Let f be (-10)/(-25) + 8/5. Factor 4*a**2 + a**5 + 0*a**4 + f*a - 4*a**4 - 3*a**5.
-2*a*(a - 1)*(a + 1)**3
Let u(d) = -2*d**3 - 11*d**2 + 7*d + 8. Let f = -26 - -20. Let l be u(f). Solve -1/2*k**5 - 4*k - 1/2*k**2 + 5/2*k**3 - l + 1/2*k**4 = 0 for k.
-1, 2
Suppose -2 - 6 = -4*p. Let q(x) be the third derivative of 0 + 1/12*x**4 - x**p - 2/15*x**5 + 0*x**3 + 0*x + 4/105*x**7 - 1/60*x**6. Factor q(b).
2*b*(b - 1)*(b + 1)*(4*b - 1)
Let t(d) be the first derivative of 2*d**5/5 - d**4/2 - 6. Factor t(a).
2*a**3*(a - 1)
Determine l, given that 0*l**2 + 0 + 3/4*l**3 + 0*l + 21/8*l**5 + 27/8*l**4 = 0.
-1, -2/7, 0
Suppose -15 = -u - 4*u. Solve 1 + 5*y - 1 - 2*y - u*y**3 = 0.
-1, 0, 1
Let w(p) be the first derivative of -2*p + 4 + 2/3*p**3 - 1/4*p**4 + 1/2*p**2. Find g, given that w(g) = 0.
-1, 1, 2
Let l(v) = -2*v + 42. Let x be l(19). Let b(y) be the second derivative of -1/48*y**x + 0*y**5 - 4*y + 1/120*y**6 + 0*y**2 + 0*y**3 + 0. Factor b(t).
t**2*(t - 1)*(t + 1)/4
Let b(z) be the second derivative of z**7/3150 + z**6/300 + z**5/75 - z**4/6 + 4*z. Let r(k) be the third derivative of b(k). Factor r(f).
4*(f + 1)*(f + 2)/5
Let v(o) be the second derivative of 3*o**5/80 + o**4/48 - o**3/3 + o**2/2 - 3*o. Let v(m) = 0. What is m?
-2, 2/3, 1
Let p be 1*((3 - -1) + -18 + 14). Find k, given that -1/4*k**2 + 1/4*k + p = 0.
0, 1
Let c(h) be the third derivative of -h**8/56 + 3*h**7/70 - h**5/20 + 28*h**2. Let c(d) = 0. What is d?
-1/2, 0, 1
Let c be 3/((-360)/(-116)) - (-1)/(-6). Determine a, given that 8/5*a**2 - c*a**3 - 4/5 + 2/5*a - 4/5*a**4 + 2/5*a**5 = 0.
-1, 1, 2
Suppose -10*c - 19 = -19. Factor o**4 + 0*o + c - 5/3*o**3 - 2/3*o**2.
o**2*(o - 2)*(3*o + 1)/3
Suppose 2*d + 24 = 4*b, -5*d + 18 = 4*b - 4*d. Suppose -2*n + 44 = -4*u, n - 6*n + 5*u = -85. Factor m**b - 4*m**2 - 10*m**4 + n*m**4 + 2*m**2 - m.
m*(m - 1)*(m + 1)**3
Let s = 1205 + -1205. Factor -1/2*a**3 + s - 1/2*a**2 + 0*a.
-a**2*(a + 1)/2
Let i(p) be the second derivative of -p**4/78 + 8*p**3/39 - 16*p**2/13 + 32*p. Factor i(j).
-2*(j - 4)**2/13
Suppose 0 = 3*d - 18. Suppose -2*o + d*o = 8. Factor -i**2 - i**o - 3*i**3 + i**3.
-2*i**2*(i + 1)
Suppose 3*x - 4*x + 6 = -r, -4*x - 3*r + 3 = 0. Let d(f) be the first derivative of -1/6*f**4 + 2/3*f + 1/3*f**2 - 2/9*f**x + 1. Factor d(h).
-2*(h - 1)*(h + 1)**2/3
Let i(p) be the first derivative of -p**6/15 + 2*p**5/25 - 13. Factor i(t).
-2*t**4*(t - 1)/5
Let h(w) be the third derivative of w**7/315 - w**6/90 - w**5/90 + w**4/18 + 9*w**2. Facto