 p so that -36*p**3 + 8*p**2 + 22*p**3 - 28*p**4 - 6*p**3 = 0.
-1, 0, 2/7
Suppose -3*n = -0*n - 36. Let z be ((-3)/(-8))/(n/16). Determine h, given that -h + 1/2 + z*h**2 = 0.
1
Let i**2 + i**2 - 1 - 5*i - 6*i**2 = 0. Calculate i.
-1, -1/4
What is d in 0 - 3/5*d**2 - 3/5*d + 3/5*d**3 + 3/5*d**4 = 0?
-1, 0, 1
Let x = -4 + 8. Suppose -2*p + x = -p. Factor 0*n - p*n**3 + 7*n - 3*n + 2 - 2*n**4.
-2*(n - 1)*(n + 1)**3
Let r(d) be the first derivative of 5*d**3/3 - 15*d**2 + 45. Find o such that r(o) = 0.
0, 6
What is d in 0 + 0*d + 2/5*d**4 + 0*d**2 + 2/5*d**3 = 0?
-1, 0
Factor 2/17*x**4 - 6/17*x**3 + 0*x + 0 + 0*x**2.
2*x**3*(x - 3)/17
Let v(p) be the third derivative of -p**8/4620 + p**7/4620 + p**6/1980 - p**3/2 + 5*p**2. Let f(u) be the first derivative of v(u). Solve f(w) = 0 for w.
-1/2, 0, 1
Let b be ((-152)/(-28) - 1) + -4. Let t = b + 47/21. Factor 4/3 + t*w + w**2.
(w + 2)*(3*w + 2)/3
Suppose -2*d = -3*d + 2. Let -4*a + 3*a**4 - 4*a**2 + a**4 + 3*a**3 - a**5 + d*a**5 = 0. Calculate a.
-2, -1, 0, 1
Let r(x) = 4*x**4 - 6*x**3 - 10*x**2 + 6. Let t(n) = -12*n**4 + 17*n**3 + 29*n**2 - 17. Let l(z) = -17*r(z) - 6*t(z). Determine f so that l(f) = 0.
-1, 0, 1
Let r(d) be the first derivative of -2*d**5/5 + 4*d**4 - 4*d**3 - 40*d**2 - 50*d + 30. Find g, given that r(g) = 0.
-1, 5
Let l be (-4)/2 - 241/(-120). Let c(d) be the third derivative of -1/24*d**4 - 1/12*d**3 + 0 + l*d**5 + 2*d**2 + 1/120*d**6 + 0*d. Factor c(h).
(h - 1)*(h + 1)*(2*h + 1)/2
Let c(p) be the third derivative of p**5/120 - p**4/24 + p**3/12 + 10*p**2. Factor c(g).
(g - 1)**2/2
Determine u, given that u**4 - 3*u + 7*u - 4*u**3 + 0*u**4 + 12*u**2 - 13*u**4 = 0.
-1, -1/3, 0, 1
Let u be (-3 + (-36)/(-16))*(-16)/54. Factor -u*z + 0 + 2/9*z**2.
2*z*(z - 1)/9
Let a be ((0 + 0)*6/(-6))/3. Factor 0*o + 1/3*o**2 + a + 1/3*o**3.
o**2*(o + 1)/3
Let t be ((24/66)/(-1))/((-2)/11). Let -4 - 1/4*k**2 + t*k = 0. What is k?
4
Determine h, given that -8/9 + 0*h + 2/9*h**2 = 0.
-2, 2
Factor -12/5*b**2 - 2/5*b**4 - 8/5*b**3 - 8/5*b - 2/5.
-2*(b + 1)**4/5
Let w(t) be the first derivative of -5*t**6/4 - 8*t**5/5 + 11*t**4/8 + 8*t**3/3 + t**2 + 6. Solve w(p) = 0.
-1, -2/3, -2/5, 0, 1
Let w = -1/191 - -233/8022. Let r(u) be the second derivative of 1/30*u**6 + 2*u + 1/20*u**5 + 0*u**2 + 0 - w*u**7 - 1/12*u**4 + 0*u**3. Factor r(c).
-c**2*(c - 1)**2*(c + 1)
Let n be 10/(-4)*16/(-180). Factor -n*v**2 - 2/9 + 4/9*v.
-2*(v - 1)**2/9
Let x(i) = -i**2 - 3*i. Let s(g) = -g**2 - 4*g. Let j(t) = 4*s(t) - 5*x(t). Factor j(l).
l*(l - 1)
Suppose 5*s = 5*v + 25, -s - 5*v = 23 + 2. Suppose s = 2*i - i. Factor 0*t**2 + i*t + 0 - 1/4*t**3.
-t**3/4
Suppose 4*n = 6*n - 6. Let m(c) be the second derivative of 0 + 3*c + 1/2*c**2 + 2/3*c**n + 1/4*c**4. Factor m(h).
(h + 1)*(3*h + 1)
Suppose 3*h + 100 = 23*h. Let 3/7*f**h - 3/7*f**2 + 0*f + 3/7*f**4 - 3/7*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Suppose 2*o - 68 = -2*o. Let q = -17 + o. Factor 1/2*n**3 + 1/2*n**2 + 0 + q*n.
n**2*(n + 1)/2
Let b(c) = c**4 + c**3 + 1. Let o(z) = 2*z**4 + 2*z**3 - 3*z**2 - 5*z - 1. Let f(k) = -b(k) + o(k). Find t, given that f(t) = 0.
-1, 2
Let g(j) = j**2 + 7*j + 1. Let t be g(-8). Let -3*h**4 + 0*h**4 + 40*h - 46*h - 3*h**5 + t*h**3 + 3*h**2 = 0. Calculate h.
-2, -1, 0, 1
Let i = -14 + 17. Determine a, given that 2*a**3 - 19*a**2 + 54*a - i + a**2 - 38 - 13 = 0.
3
Let r(m) be the first derivative of 4*m**5/35 - 19*m**4/14 + 80*m**3/21 + 25*m**2/7 + 49. Factor r(z).
2*z*(z - 5)**2*(2*z + 1)/7
Let a(f) be the first derivative of -5*f**4/4 - 5*f**3/3 + 5*f**2 - 14. Solve a(u) = 0.
-2, 0, 1
Let o(t) = 3 + 0 + 0 - 4. Let b(g) = g**3 + 2*g**2 - g + 3. Let k(y) = b(y) + 5*o(y). Factor k(d).
(d - 1)*(d + 1)*(d + 2)
Let n be 3/(-6)*2 - -3. Factor -8 + 2*m**2 - m**n + 12*m - 4 - 4*m**2.
-3*(m - 2)**2
Let d(m) = -4*m + 112. Let i be d(28). What is o in 2/3*o**4 + 0 + 2/9*o**2 + i*o - 2/9*o**5 - 2/3*o**3 = 0?
0, 1
Suppose c = 3*c - 4. Suppose c*u - 2*x = -0*u - 4, 0 = 5*u + x - 14. Suppose 3*r**2 - 2*r**u + r**2 - r - r**3 = 0. What is r?
0, 1
Let k = 4 - 2. Let v(q) = -q**3 + 2*q**2 + 2. Let c be v(k). Determine r, given that -24/5*r - 2/5*r**3 - 12/5*r**c - 16/5 = 0.
-2
Suppose -3 = f - 0, -2*i - f + 1 = 0. Let o = i - -2. Factor -18*g**3 + 14*g**2 - 4*g + 10*g**4 + o - 4 - 2*g**5.
-2*g*(g - 2)*(g - 1)**3
Find k such that -18/7 + 18/7*k**2 + 3/7*k**3 - 3/7*k = 0.
-6, -1, 1
Let d be 6 + 186/(-21) + 2*2. Let -26/7*j**2 - 2/7*j**4 - 24/7*j - 12/7*j**3 - d = 0. What is j?
-2, -1
Let y be 4*1 - 8/(-60)*3. Let r(p) be the first derivative of 0*p - 15/2*p**4 + 2 - 2*p**2 + 6*p**3 - p**6 + y*p**5. Factor r(k).
-2*k*(k - 1)**3*(3*k - 2)
Let q(s) = -s**3 - 6*s**2 - 6*s + 10. Let i be q(-4). Let b be (-2)/(-10)*(-2)/(-1). What is r in 8/5*r**i + b*r**3 + 2*r + 4/5 = 0?
-2, -1
Factor 25*t**3 + 5*t**4 - 4*t**2 + 35*t + 10 + 27*t**2 + 22*t**2.
5*(t + 1)**3*(t + 2)
Factor 0 + 1/7*o**2 - 3/7*o.
o*(o - 3)/7
Let f(s) = 2*s**2 - s - 26. Let h be f(4). Find m such that -2/3*m + 2/3*m**3 - 8/3*m**h + 8/3*m**4 + 0 = 0.
-1, -1/4, 0, 1
Let q(h) = h**2 - h - 2. Let s(m) be the second derivative of 0 - 1/6*m**4 + m + 1/6*m**3 + 3/2*m**2. Let d(r) = -3*q(r) - 2*s(r). Factor d(n).
n*(n + 1)
Let f = 5110 + -107489/21. Let d = -48/7 - f. Solve d*g**2 + 2/3*g - 7/3*g**3 + 0 = 0.
-2/7, 0, 1
Let i = 4/77 - -1366/385. Let l be 81/15 - (3 + 0). Let -i*c**2 - 8/5*c**3 - 2/5 - l*c = 0. Calculate c.
-1, -1/4
Let q(d) be the second derivative of -d**9/7560 + d**7/630 - d**5/60 + d**4/4 - 2*d. Let v(y) be the third derivative of q(y). Factor v(u).
-2*(u - 1)**2*(u + 1)**2
Let j(d) be the third derivative of -25*d**6/12 - 5*d**5/2 - 5*d**4/4 - d**3/3 - 14*d**2. Factor j(s).
-2*(5*s + 1)**3
Suppose 3*s + s - 20 = 0. Factor -2*k**5 - 3*k**s + 3*k**5 - k - k + 4*k**3.
-2*k*(k - 1)**2*(k + 1)**2
Let i(f) be the second derivative of -f**4/15 - 2*f**3/15 - 6*f. Determine p, given that i(p) = 0.
-1, 0
Let -2*n**4 - 6*n**3 + 8*n - 6*n**2 - 4*n - 6*n = 0. What is n?
-1, 0
Let b(l) be the third derivative of -l**8/110880 - l**7/13860 - l**5/60 + 3*l**2. Let i(r) be the third derivative of b(r). Determine t, given that i(t) = 0.
-2, 0
Let i(c) be the second derivative of c**9/30240 - c**8/4480 + c**7/1680 - c**6/1440 + c**4/12 + 3*c. Let a(k) be the third derivative of i(k). Factor a(x).
x*(x - 1)**3/2
Let f(l) be the second derivative of -1/30*l**6 + 0*l**2 + 0*l**4 - 1/20*l**5 + 0 + 0*l**3 + 7*l. Determine n, given that f(n) = 0.
-1, 0
Let n(v) be the first derivative of 5*v**6/6 + 4*v**5 + 5*v**4/2 - 20*v**3/3 - 15*v**2/2 - 19. Let n(t) = 0. Calculate t.
-3, -1, 0, 1
Factor -544 + 544 + 2*b**2 - 3*b**2 + 2*b.
-b*(b - 2)
Let q(n) = 5*n**2 - 4*n + 7. Let m(c) = 3*c**2 - 3*c + 5. Let x(b) = 8*m(b) - 5*q(b). Determine l, given that x(l) = 0.
-5, 1
Let d(h) be the third derivative of -h**5/20 + h**4/2 - 3*h**3/2 + 25*h**2. Factor d(y).
-3*(y - 3)*(y - 1)
Let j(q) = q + 1. Let d = 0 + 0. Let m be j(d). Let g**2 - g + 0*g - m + g = 0. Calculate g.
-1, 1
Let a(i) = 13*i**3 - 41*i**2 + 126*i - 108. Let x(w) = -6*w**3 + 21*w**2 - 63*w + 54. Let k(c) = -3*a(c) - 7*x(c). Suppose k(t) = 0. Calculate t.
2, 3
Let w = 50 - 50. Let a(v) be the first derivative of 0*v**2 - 2/25*v**5 + 0*v**3 - 1/10*v**4 + w*v - 4. Find k, given that a(k) = 0.
-1, 0
Let w(b) = b**4 + b**2 + 1. Let n(k) be the first derivative of k**5/5 + 3*k**4/2 + 4*k**3/3 + 4*k + 2. Let q(p) = -n(p) + 4*w(p). Factor q(h).
3*h**3*(h - 2)
Let b(p) = p**2 + 8*p + 9. Let j be b(-7). Suppose -f**2 - j*f**4 - 4*f**3 - 3*f**3 + 3*f**3 - f**2 = 0. What is f?
-1, 0
Suppose 4*b - x + 0*x = 841, 3*b - 5*x - 635 = 0. Let w be (-2)/(-5) + (-24)/b. Solve 2/7 + 4/7*i + w*i**2 = 0 for i.
-1
Factor 0*k + 0 - 1/4*k**3 + 1/4*k**2.
-k**2*(k - 1)/4
Let v(k) be the second derivative of -7/2*k**3 + 4/5*k**6 + 8*k + 3/5*k**5 + 3/14*k**7 + 0 - 3/2*k**4 - 3*k**2. Factor v(y).
3*(y - 1)*(y + 1)**3*(3*y + 2)
Let x(b) be the second derivative of -1/3*b**4 - b + 4/45*b**5 + 0*b**3 - 1/135*b**6 + 3*b**2 + 0. Factor x(l).
-2*(l - 3)**3*(l + 1)/9
Let t be 2/(49/14 - 3). Factor -1/2 - 5/2*c - 5/2*c**t - 1/2*c**5 - 5*c**2 - 5*c**3.
-(c + 1)**5/2
Suppose -17*c + 15*c = -6. Factor 1 + 3/2*h - 1/2*h**c + 0*h**2.
-(h - 2)*(h + 1)**2/2
Let d(q) be the second derivative of -q**4/78 - 8*q