*i**2 + 1/3 + 1/6*i.
(i - 1)**2*(i + 1)*(3*i + 2)/6
Suppose 4*b - 5*u - 20 = 0, 0*u + 4*u + 16 = 4*b. Suppose 5*h + 3 - 23 = b. Find n such that -2/3*n**3 + 16/3 + h*n**2 - 8*n = 0.
2
Let x be (-6)/((-2)/(5/(6 - 1))). What is o in 12/5*o**4 - 6/5*o**2 - 6/5 - 12/5*o**3 + x*o - 3/5*o**5 = 0?
-1, 1, 2
Let s = 162 - 1463/9. Let y = 37/18 + s. Factor 0*c**2 + 0 + 0*c + y*c**3 - 3*c**4 + 3/2*c**5.
3*c**3*(c - 1)**2/2
Let j(l) be the second derivative of -l**8/1680 + l**7/280 - l**6/120 + l**5/120 + 2*l**3/3 - 4*l. Let r(z) be the second derivative of j(z). Factor r(m).
-m*(m - 1)**3
Let g(f) = 13*f - 8. Let b be g(6). Suppose z - b = -4*z. Suppose z*d**2 + 0 - 3/2*d**4 + 4*d - 9/2*d**5 + 13*d**3 = 0. What is d?
-1, -2/3, 0, 2
Solve 8/5*j**4 - 4/5*j**3 + 6/5*j - 2/5*j**5 + 0 - 8/5*j**2 = 0.
-1, 0, 1, 3
Let q be (-2)/(1 - 5/5*5). Determine d so that d**3 + 0*d + 0 + 0*d**2 + q*d**4 - 1/2*d**5 = 0.
-1, 0, 2
Let a = -11 - -14. Let -5*t - 2*t - t**2 - 3 - a*t**2 = 0. Calculate t.
-1, -3/4
Let l(u) be the third derivative of 1/70*u**5 - 1/420*u**6 + 0*u**3 - 3*u**2 + 0 - 1/42*u**4 + 0*u. Factor l(a).
-2*a*(a - 2)*(a - 1)/7
Let x(q) = 13*q**4 + 24*q**3 + q**2 - 4*q. Let j(d) = 2*d + d**2 + d - 6*d + d**4 + 2*d. Let m(w) = -2*j(w) - x(w). Let m(p) = 0. Calculate p.
-1, 0, 2/5
Determine m so that -13*m**3 + 3*m**2 + 7*m**3 + m**2 + 2*m**5 + 0*m**2 = 0.
-2, 0, 1
Let w be -6 - (-1 - 35/7). What is r in -2/13*r**5 + 0*r**4 + w + 0*r + 2/13*r**3 + 0*r**2 = 0?
-1, 0, 1
Let l(k) be the second derivative of -k**8/4480 - k**7/840 - k**4/6 - 4*k. Let b(j) be the third derivative of l(j). Factor b(z).
-3*z**2*(z + 2)/2
Solve -4*g**4 - 10*g**2 + 16*g**3 - g**4 + 17*g**4 + 6*g**2 - 8*g = 0 for g.
-1, 0, 2/3
Let z(d) be the second derivative of d**5/10 + 2*d**4/3 - d**3 - 18*d**2 + 12*d. Factor z(i).
2*(i - 2)*(i + 3)**2
Suppose -10 + 0 = 5*j. Let a be 11/4 + 4/j. Let -9/4*p - a*p**2 - 3/2 = 0. What is p?
-2, -1
Let h = 531/1141 - 6/163. Solve 3*z**2 + 9/7*z**3 + 15/7*z + h = 0 for z.
-1, -1/3
Find x, given that 3/7 - 5/7*x - 2/7*x**2 = 0.
-3, 1/2
Suppose 0 = -2*a - 1 + 7. Let f(s) = -s**3 - 10*s**2 + 11*s + 6. Let z be f(-11). Factor -3*i**3 + z*i + a*i**2 + 7*i**2 - i**3 - 10*i**4 - 2*i.
-2*i*(i - 1)*(i + 1)*(5*i + 2)
Let c(f) be the first derivative of -f**6/8 - 3*f**5/20 + 3*f**4/16 + f**3/4 + 5. Factor c(a).
-3*a**2*(a - 1)*(a + 1)**2/4
Let c(n) be the third derivative of -n**5/12 + 5*n**4/8 - 2*n**2. Suppose c(k) = 0. What is k?
0, 3
Suppose 2*q + 4*w = 0, q = 2*q - 4*w. Find y such that 4/5*y**2 - 2/5*y**5 + 0*y - 4/5*y**4 + 2/5*y**3 + q = 0.
-2, -1, 0, 1
Let j(f) be the second derivative of -f**7/420 + 11*f**6/1080 - f**5/60 + f**4/72 - 7*f**3/6 - 7*f. Let a(z) be the second derivative of j(z). Factor a(m).
-(m - 1)*(2*m - 1)*(3*m - 1)/3
Let r = -22510655/1512 + 14888. Let c(h) be the third derivative of 1/540*h**6 + 0 + 0*h**4 + h**2 + 0*h + 0*h**5 + 0*h**7 - r*h**8 + 0*h**3. Factor c(q).
-2*q**3*(q - 1)*(q + 1)/9
Let n = 5 + -5. Factor 0*m**3 - m**3 + m**2 + n*m**2.
-m**2*(m - 1)
Let p(y) = -4*y**2 - 8*y + 5. Let a(r) = -r**2 - 2*r + 1. Let k(j) = 9*a(j) - 2*p(j). Factor k(f).
-(f + 1)**2
Let x be -26*(-4 - (-186)/48) + -3. Determine q so that -1/4*q**3 + 3/4*q**2 - 1/2 - x*q**4 + 1/4*q = 0.
-2, -1, 1
Suppose -2/9*n**2 + 8/9*n + 2/9*n**4 + 0 - 8/9*n**3 = 0. What is n?
-1, 0, 1, 4
Suppose 2*h = 7*h - 15. Factor 5*c**2 + 4*c**2 + 3*c**5 - 9*c**3 - h*c**2.
3*c**2*(c - 1)**2*(c + 2)
Let t(q) be the first derivative of 18/5*q**5 - 4/3*q**3 - 3 + 0*q + 0*q**2 + 7/2*q**4. Determine g so that t(g) = 0.
-1, 0, 2/9
Let b(s) be the first derivative of 3/5*s**5 + 1/2*s**6 - 3/4*s**4 + 0*s + 0*s**2 - s**3 - 5. Find r, given that b(r) = 0.
-1, 0, 1
Suppose -9/4*a**2 - 7/4 + 1/4*a**3 + 15/4*a = 0. What is a?
1, 7
Let u be 8/6*(-9)/(-6). Suppose -5*q - 3*w + 4 = -3, -3*q = 4*w - u. Factor -1 + q*p**2 + 1 - p - p**3.
-p*(p - 1)**2
Let o(p) be the third derivative of p**8/10080 - p**6/360 + p**5/60 + 3*p**2. Let m(z) be the third derivative of o(z). Suppose m(f) = 0. Calculate f.
-1, 1
Let 0 + 4/7*q - 10/7*q**4 + 10/7*q**2 - 4/7*q**3 = 0. What is q?
-1, -2/5, 0, 1
Let k(o) be the third derivative of -o**5/12 + 25*o**4/6 - 250*o**3/3 + 29*o**2. Suppose k(y) = 0. Calculate y.
10
Let l(x) = x - 1. Let h be l(8). Suppose 5*b + 3*q - 29 = -h, 3*q - 10 = b. Factor d**2 - d - b*d**2 + 2*d**2.
d*(d - 1)
Let q be 8 + -7 - (-6)/(-10). Let k(b) = -3*b**3 + b**2 + b. Let o be k(-1). Factor 6/5*t**2 + 2/5 - 6/5*t - q*t**o.
-2*(t - 1)**3/5
Let x(t) be the third derivative of -t**5/330 + t**4/33 - t**3/11 - 6*t**2. Suppose x(z) = 0. What is z?
1, 3
Let w be (4/6)/(3/9). Let s(d) be the first derivative of 2 - 1/7*d**w - 2/7*d**3 + 0*d. Factor s(a).
-2*a*(3*a + 1)/7
Let h be 10/(-20) + 26/4. Factor -h*d - 4*d**3 - 8*d**2 - 4 + 0*d + 32*d**2 - 10*d**3.
-2*(d - 1)**2*(7*d + 2)
Let q(p) = 2*p**4 - 3*p**3 - 2*p**2 - 3*p. Let d(o) = -2*o**4 + 2*o**3 + 2*o**2 + 2*o. Let r(x) = 3*d(x) + 2*q(x). Factor r(v).
-2*v**2*(v - 1)*(v + 1)
Let u = -199 + 199. Suppose -1/4*p**3 - 1/4*p**2 + u + 0*p = 0. Calculate p.
-1, 0
Let m be (-1)/(2 + (-5)/2). Factor v + 0*v**m - 1 + v**2 + 0 - v**3.
-(v - 1)**2*(v + 1)
Let s(n) be the first derivative of 2*n**3/3 + 11*n**2 + 3*n - 6. Let t be s(-11). Factor 2/5*d**2 + 0*d + 2/5*d**5 + 0 - 2/5*d**t - 2/5*d**4.
2*d**2*(d - 1)**2*(d + 1)/5
Solve -4/11*x**3 - 2/11*x + 0 - 6/11*x**2 = 0.
-1, -1/2, 0
Suppose 0 = 2*x - 4*h + 9 + 3, -x + 4*h = 12. Let u(r) be the first derivative of -1/5*r**5 - 1/2*r**2 + 1/4*r**4 + 1/3*r**3 + 2 + x*r. Factor u(d).
-d*(d - 1)**2*(d + 1)
Let d be 2 - (-2)/4*2. Suppose d*s - 4 = 8. Suppose -2*z**4 + 0*z**4 + s*z - z - 2*z**3 - z + 2*z**2 = 0. Calculate z.
-1, 0, 1
Let j(q) be the second derivative of 0*q**2 - 3*q + 0 + 1/21*q**3 + 1/70*q**5 + 1/21*q**4. Factor j(v).
2*v*(v + 1)**2/7
Let z be ((-20)/(-12))/(3/9). Suppose -z*v = -7*v. Find d, given that 0*d**2 + 1/2*d**3 + d**4 + 1/2*d**5 + 0 + v*d = 0.
-1, 0
Let g(x) be the third derivative of x**7/735 + x**6/140 + x**5/210 - x**4/28 - 2*x**3/21 - 3*x**2. Factor g(j).
2*(j - 1)*(j + 1)**2*(j + 2)/7
Let u be (-9)/(-4) + 5/(-20). Factor -7*w**u - 3*w**4 + 0 + 0 + 8*w**3 + 0*w**4 + 2*w.
-w*(w - 1)**2*(3*w - 2)
Let r = 20 - 39/2. What is m in -3/4*m - r + 0*m**2 + 1/4*m**3 = 0?
-1, 2
Let y be ((-18)/(-8))/((-2)/8). Let r = -9 - y. Factor 1/4*z**5 + 1/4*z**4 + r*z**2 + 0*z**3 + 0 + 0*z.
z**4*(z + 1)/4
Factor 0 - 3/7*q**5 + 3/7*q**3 + 0*q - 3/7*q**2 + 3/7*q**4.
-3*q**2*(q - 1)**2*(q + 1)/7
Factor 2/11*y**2 + 8/11*y + 0.
2*y*(y + 4)/11
Factor 4*k**2 - 5*k**3 + k**3 + 4*k - 2 - 2.
-4*(k - 1)**2*(k + 1)
Suppose -3*h + 3*x + 2 = x, 3 = 2*h - 3*x. Let y(d) be the first derivative of 4 + h*d + 14/39*d**3 + 6/13*d**4 + 1/13*d**2. Suppose y(w) = 0. What is w?
-1/3, -1/4, 0
Solve 2/5*h + 2/5*h**5 - 2/5 - 2/5*h**4 - 4/5*h**3 + 4/5*h**2 = 0 for h.
-1, 1
What is w in 0*w**3 + 2/5*w**2 + 0*w + 0 - 2/5*w**4 = 0?
-1, 0, 1
Let i be (2 - 0) + (-14)/8. Let x(z) be the first derivative of 3 - i*z**2 - 1/6*z**3 + 0*z. Determine a, given that x(a) = 0.
-1, 0
Let j = 26 + -23. Let n = j + -5/2. Determine y, given that 1/4 + 1/4*y**4 + 0*y + 0*y**3 - n*y**2 = 0.
-1, 1
Let l(u) be the third derivative of 1/84*u**8 + 0 + 0*u**4 + 0*u - 2/3*u**3 - 2*u**2 + 19/60*u**5 - 1/120*u**6 - 2/35*u**7. Solve l(q) = 0 for q.
-1, -1/2, 1/2, 2
Let u be 46/6 - (-6)/(-9). Let w be ((-44)/(-4) - -3) + 4. What is s in -6*s**5 + w*s**2 + u*s**4 - 30*s**3 + 8*s**4 - 4*s + 7*s**4 = 0?
0, 2/3, 1
Suppose -5*d = -4*a - 12, -3*a - 3*d + 22 = 2*a. Factor 2/5*c - 2/5*c**3 - 4/5*c**a + 4/5.
-2*(c - 1)*(c + 1)*(c + 2)/5
Let a(b) = 3*b**3 - 7*b**2 + b + 3. Let c(t) = -2*t**3 + 6*t**2 - 2. Let l = -8 + 5. Let q(n) = l*a(n) - 4*c(n). What is m in q(m) = 0?
-1
Let a be 147/216 - (-4)/(-6). Let q(z) be the third derivative of 0*z**3 - z**2 - 1/180*z**5 + 0 + a*z**4 + 0*z. Factor q(t).
-t*(t - 1)/3
Let v(g) be the first derivative of -g**5/20 - g**4/12 - 4*g + 6. Let c(m) be the first derivative of v(m). Let c(i) = 0. Calculate i.
-1, 0
Let f(z) be the first derivative of -z**4/8 + 3*z**2/4 - 9*z - 9. Let l(o) be the first derivative of f(o). Factor l(n).
-3*(n - 1)*(n + 1)/2
Let i = -1762 + 15878/9. Let p = 26/9 - i. Factor 0*s**2 + p*s**3 - 2/3*s + 0.
2*s