 20 - 3*n**3 + 3*n = 0. What is n?
-1, 1, 10
Let m = 94 + -95. Let r(z) = 7*z**4 - 10*z**3 + 90*z**2 - 206*z + 131. Let d(k) = k**4 + k**3 - k + 1. Let q(n) = m*r(n) + 6*d(n). Solve q(i) = 0 for i.
1, 5
Let v(d) be the third derivative of -d**8/1512 - d**7/35 - 17*d**6/180 - 5*d**5/54 + 645*d**2. Find l such that v(l) = 0.
-25, -1, 0
Suppose 0 = 12*f + 5 - 29. Factor -6*j + j**2 - f + 30*j + 146.
(j + 12)**2
Suppose q + 4*q - 129 = -4*p, -15 = -3*q. Let d = 29 - p. Factor z**2 - z**d + 6*z - 5*z - 4 + 6*z - 3*z.
-(z - 2)*(z - 1)*(z + 2)
Let q(p) be the first derivative of -p**4 + 16*p**3/3 - 27. Solve q(n) = 0.
0, 4
Let w(j) be the second derivative of j**5 + 8/15*j**6 + 0*j**2 + 0*j**3 + 2/3*j**4 + 2/21*j**7 + 30*j + 0. Factor w(u).
4*u**2*(u + 1)**2*(u + 2)
Factor 33/2*a**2 - 1/2*a**3 - 16*a + 0.
-a*(a - 32)*(a - 1)/2
Let l be (-51)/9 + 4/6. Let u be (-1)/(((-15)/(-6))/l). Factor 7 - 10 + 3*d**3 - 13*d**u + 4*d**2 + 9*d.
3*(d - 1)**3
Let x(d) = -2*d**2 - 38*d - 96. Let l be x(-16). Let n(o) be the second derivative of 0*o**3 + 1/12*o**4 + 0*o**2 + l + 6*o - 1/30*o**6 + 0*o**5. Factor n(a).
-a**2*(a - 1)*(a + 1)
Let y be (2 - (-5)/(-4)) + -15 + (-116)/(-8). Find c such that -y*c**2 + 0 + c = 0.
0, 4
Let u(r) be the second derivative of r**5/100 - r**4/6 - 7*r**3/30 + 98*r**2/5 - 22*r + 2. Let u(j) = 0. Calculate j.
-4, 7
Let f(c) be the second derivative of c**7/21 - 2*c**6/15 - 3*c**5/10 + 2*c**4/3 + 4*c**3/3 + 19*c. Factor f(z).
2*z*(z - 2)**2*(z + 1)**2
Suppose 3*q = -3*t - 30, 0 = 2*t - t - 2*q - 5. Let b(a) = -4*a**2 + 7*a + 1. Let h(z) = -3*z**2 + 6*z + 1. Let p(m) = t*h(m) + 4*b(m). Factor p(y).
-(y + 1)**2
Solve 1/6*i**2 - 1/6 + 0*i = 0.
-1, 1
Let v(g) be the third derivative of 1/147*g**7 + 1/12*g**4 - 1/7*g**3 + 37*g**2 - 1/70*g**6 - 1/1176*g**8 - 1/105*g**5 + 0*g + 0. Find u, given that v(u) = 0.
-1, 1, 3
Let m(s) be the third derivative of -s**5/120 - 7*s**4/3 - 784*s**3/3 - 348*s**2. Factor m(p).
-(p + 56)**2/2
Let r(y) be the first derivative of y**5/8 - 7*y**4/8 - 3*y**3/4 + 9*y**2 - 6. Let z(g) be the second derivative of r(g). Factor z(i).
3*(i - 3)*(5*i + 1)/2
Factor -1/4*l**2 + 9*l - 81.
-(l - 18)**2/4
Find r, given that -2455*r**4 - 395*r**2 - 110*r + 2440*r**4 + 203 - 3 + 320*r**3 = 0.
-2/3, 1, 20
Let p(y) be the third derivative of y**8/30240 - y**7/3780 + y**6/1080 + 3*y**5/10 - 8*y**2. Let m(c) be the third derivative of p(c). Factor m(g).
2*(g - 1)**2/3
Let h(s) be the first derivative of s**3 + 33*s**2/2 + 30*s + 38. Suppose h(z) = 0. Calculate z.
-10, -1
Let t be (-54)/21*(-245)/7. Let c be 417/t + (-2)/15. Find g, given that -3/2*g**3 - 3/2 - 9/2*g**2 - c*g = 0.
-1
Let t(q) = -4*q**3 - 10*q**2 + 36*q - 36. Let d(w) = -3*w**3 - 11*w**2 + 37*w - 36. Let i(p) = 6*d(p) - 5*t(p). Factor i(a).
2*(a - 3)**2*(a - 2)
Let q(r) = r + 32. Let a be q(0). Suppose -6*m = 2*m - a. Factor -5 + 8*n**3 + 13 - 4*n**3 + 12*n - m + 12*n**2.
4*(n + 1)**3
Find d, given that -36/11*d - 162/11 - 2/11*d**2 = 0.
-9
Let k = -1/257 - -259/514. Let s(v) be the first derivative of v + 0*v**3 + 2 + v**2 - 1/5*v**5 - k*v**4. Factor s(g).
-(g - 1)*(g + 1)**3
Solve -117/4*j**4 + 129/4*j**2 + 15*j - 3 - 15*j**3 = 0 for j.
-1, -2/3, 2/13, 1
Let d be (-19)/(-50) + 4/(-50). Let u(g) be the first derivative of 0*g + d*g**2 + 1/20*g**4 + 4/15*g**3 - 5. Factor u(x).
x*(x + 1)*(x + 3)/5
Let w(q) = -3*q + 14. Let t be w(4). Let -9*y**t - 4*y**2 - 10 + 21*y**2 - 5*y - 3*y**2 = 0. Calculate y.
-1, 2
Let g(b) be the second derivative of b**5/10 - 11*b**4/3 - 23*b**3/3 + 576*b. Let g(i) = 0. What is i?
-1, 0, 23
Let t(l) = -l**3 + l**2. Let p(u) = -u + 6. Let f be p(-6). Let a(z) = 3*z**3 - 6*z**2 + z + 2. Let i(b) = f*t(b) + 3*a(b). Determine j so that i(j) = 0.
-2, -1, 1
Let j(d) be the third derivative of 0*d - 8/9*d**3 + 9*d**2 + 1/9*d**4 + 0 - 1/180*d**5. Let j(k) = 0. Calculate k.
4
Let w be (-12)/(-14)*(-33)/(-495). Let k(v) be the first derivative of 0*v**2 - 6 + 0*v**4 + 2/21*v**3 + 0*v - w*v**5. Factor k(p).
-2*p**2*(p - 1)*(p + 1)/7
Suppose 19 = 5*f + 29. Let n(z) = z**3 + 3*z**2 + 3*z + 5. Let m be n(f). Factor 1/3*o**5 + 0*o**2 - 1/3*o**m + 0*o + 0*o**4 + 0.
o**3*(o - 1)*(o + 1)/3
Let -1/9*m**2 + 0 + 35/9*m = 0. Calculate m.
0, 35
Let i(y) = y**3 - 5*y**2 - y + 1. Let n be i(5). Let b = n - -7. Factor -3*u**3 - 4*u**2 + u**b + 0*u**2.
-2*u**2*(u + 2)
Let p be ((-8)/(-16))/(17/(-12316)) + 3. Let t = -359 - p. Solve 0 - 2/17*y**2 + t*y = 0 for y.
0, 2
Factor 4/3*a**2 - 2/3*a**5 + 0*a**3 + 2/3*a - 4/3*a**4 + 0.
-2*a*(a - 1)*(a + 1)**3/3
Let d(h) be the first derivative of -3/4*h**2 - 7 - 1/2*h**3 + 0*h. Factor d(l).
-3*l*(l + 1)/2
Suppose 0 = -24*t - 12 + 132. Suppose -w = 5*w - t*w. Solve 1/3*g**2 + w + 1/3*g = 0.
-1, 0
Suppose -160*f**5 + 632*f**5 - 6671*f + 496*f**5 - 3001*f - 36715*f**4 - 17126*f**2 + 11437*f**4 + 1352 + 166396*f**3 = 0. What is f?
-1/4, 2/11, 13
Let t(v) be the second derivative of -v**4/9 - 4*v**3/3 - 16*v**2/3 + 35*v - 2. Determine p, given that t(p) = 0.
-4, -2
Let k be 4 + (92/(-46) - (1 + -1)). What is c in 3/4*c**k + 0 + 0*c = 0?
0
Let w(i) be the first derivative of -20 - 54*i**4 - 162*i**2 - 48/5*i**5 - 144*i**3 - 2/3*i**6 + 0*i. Factor w(l).
-4*l*(l + 3)**4
Let n be (-40)/(-50)*5 - 0. Factor -4*s**2 - 16/9 - 14/9*s**3 - 2/9*s**n - 40/9*s.
-2*(s + 1)*(s + 2)**3/9
Let n(q) = 2*q**2 - 21*q + 6. Let o be n(10). Let c = 0 - o. Determine b, given that -2*b**2 + 0*b + 0 + c*b**3 + 7/2*b**4 - 5/2*b**5 = 0.
-1, 0, 2/5, 2
Suppose -15*j + 25 = -10*j. Factor 7*t + 13*t + j*t**2 + 10 - 5*t.
5*(t + 1)*(t + 2)
Let d(n) be the second derivative of 25*n**7/14 - 23*n**6/10 - 81*n**5/20 + 23*n**4/4 + n**3 + 56*n + 4. Find i such that d(i) = 0.
-1, -2/25, 0, 1
Let d be (0 + -6)/(-12 - (-4 - 5)). Factor 4/17*p - 6/17 + 2/17*p**d.
2*(p - 1)*(p + 3)/17
Let x(t) be the third derivative of -7*t**2 + 0*t**3 + 0*t + 0 - 1/360*t**6 + 0*t**5 + 1/210*t**7 + 0*t**4. Factor x(d).
d**3*(3*d - 1)/3
Let s(q) be the second derivative of q**4/24 + 38*q**3/3 + 1444*q**2 - 193*q - 2. Let s(c) = 0. What is c?
-76
Let k(s) be the third derivative of s**6/240 + s**5/20 + 3*s**4/16 + s**3/3 - 51*s**2. Let k(g) = 0. Calculate g.
-4, -1
Let s(d) be the third derivative of -47/330*d**5 - 42*d**2 + 0*d**3 - 7/660*d**6 + 7/66*d**4 + 0 + 0*d. Factor s(l).
-2*l*(l + 7)*(7*l - 2)/11
Suppose 0 = 3*l - 8*l + 5*r, -4*l - 2*r + 30 = 0. Factor 0 + 0*w + 4*w - 14*w + l + 5*w**2.
5*(w - 1)**2
Let x(r) be the first derivative of 1 - 48/23*r**2 - 128/23*r - 1/46*r**4 + 10/23*r**3. Solve x(t) = 0.
-1, 8
Let p(v) be the third derivative of v**5/390 - v**4/39 + v**3/13 - 56*v**2. Let p(k) = 0. Calculate k.
1, 3
Let j(v) be the third derivative of 22*v**2 + 0*v + 2/21*v**3 - 1/84*v**4 + 0 - 1/210*v**5. Solve j(o) = 0.
-2, 1
Let c be (0 + 2 + -2)/5. Let s(z) be the first derivative of -1/12*z**3 - 10 + 1/24*z**6 + 0*z - 1/16*z**4 + 1/20*z**5 + c*z**2. What is q in s(q) = 0?
-1, 0, 1
Let a(m) = 2*m**4 - 4*m**3 - 6*m. Let g = -13 - -12. Let p(l) = -7*l. Let o(n) = -6*n. Let j(b) = -6*o(b) + 5*p(b). Let i(s) = g*a(s) - 6*j(s). Factor i(v).
-2*v**3*(v - 2)
Let u(b) be the first derivative of b**5/25 - 91*b**4/20 + 179*b**3/15 - 89*b**2/10 + 234. Find z, given that u(z) = 0.
0, 1, 89
What is d in -1/3*d**3 + 2/3 + 0*d**2 + d = 0?
-1, 2
Let o = 54083/6 + -9013. Solve o*r**2 - 2/3*r**3 + 1/6*r**4 - 1/3*r + 0 = 0.
0, 1, 2
Suppose 47*b - 32 = 109. Factor -1/3 + x - x**2 + 1/3*x**b.
(x - 1)**3/3
Let x(m) be the second derivative of -1/360*m**6 - 1/6*m**4 + 0 - 1/30*m**5 - 4/3*m**3 - 3*m + 0*m**2. Let u(n) be the second derivative of x(n). Factor u(y).
-(y + 2)**2
Let c(a) be the first derivative of 3*a**4/20 + 3*a**3/5 - 27*a**2/2 - 105*a + 223. What is d in c(d) = 0?
-5, 7
Let a(x) be the second derivative of x**7/540 + x**6/810 - 3*x**3 - 31*x. Let b(s) be the second derivative of a(s). Solve b(z) = 0 for z.
-2/7, 0
Let n(h) be the third derivative of 5*h**7/504 + h**6/72 + 3*h**4/4 + 10*h**2. Let b(u) be the second derivative of n(u). Suppose b(a) = 0. Calculate a.
-2/5, 0
Let d(a) be the first derivative of -a**6/900 + a**4/60 + 7*a**3 - 2. Let l(o) be the third derivative of d(o). Determine m so that l(m) = 0.
-1, 1
Let d(i) be the first derivative of -i**3/5 + 27*i**2/10 + 66*i/5 + 585