(j) = -2*j**3 + 5*j**2 + 5*j - 4. Let d be o(3). Factor -113*n**3 + 9*n - 6 + 0*n + 115*n**3 - 10*n**d + 5*n.
2*(n - 3)*(n - 1)**2
What is r in -137/3*r + 34/3 + 4/3*r**2 = 0?
1/4, 34
Let w be (1 - 0)/(9/(-27)). Let j = -1 + w. Let r(o) = o**4 - o**2 + 4. Let d(c) = 1. Let k(m) = j*d(m) + r(m). Suppose k(s) = 0. What is s?
-1, 0, 1
Let f(z) = 141*z**2 + 48*z. Let h(k) = 57*k**2 + 19*k. Let m(q) = 5*f(q) - 12*h(q). Factor m(p).
3*p*(7*p + 4)
Let q be (-4 + 1 - (-3 - -1))*51. Let h = q - -54. Factor 7/5*n**h + 0 - 4/5*n + 0*n**2 + 3/5*n**4.
n*(n + 1)*(n + 2)*(3*n - 2)/5
Factor -q**3 + 4*q**3 + 8*q**2 + 41*q**2 - 7*q**2 + 147*q.
3*q*(q + 7)**2
Let t(h) be the first derivative of 24 + 0*h**2 + 0*h**5 + 3/7*h**4 - 8/21*h**3 - 2/21*h**6 + 0*h. Let t(j) = 0. Calculate j.
-2, 0, 1
Let f = 200 + -192. Let w be (-6)/f + 2 + 39/(-108). What is p in -2/9*p**2 - 2/3 + w*p = 0?
1, 3
Let o(y) be the first derivative of y**6/2 + 6*y**5/5 + 3*y**4/4 + 332. Factor o(c).
3*c**3*(c + 1)**2
Let i(p) be the first derivative of 28/3*p**3 + 0*p + 4/5*p**5 + 10 + 6*p**2 + 5*p**4. Factor i(c).
4*c*(c + 1)**2*(c + 3)
Let y be (-6)/4*4/(-9). Suppose 63*x = 31*x + 64. Let 0*w - y + 2/3*w**x = 0. Calculate w.
-1, 1
Let m(x) be the second derivative of -x**5/30 - x**4/9 + x**3/9 + 2*x**2/3 + 198*x. Factor m(l).
-2*(l - 1)*(l + 1)*(l + 2)/3
Let v be 504/27*24/14. Determine t so that 4*t**2 + v*t - 26*t - 32 - 28*t - 6*t = 0.
-1, 8
Let p be (4/(-6) - (-3)/9)*0. Suppose 5*b - 5*i - 30 = p, -2*b = -0*b - 3*i - 16. What is x in 4/7*x + 1/7*x**b + 3/7 = 0?
-3, -1
Factor -2/5*u**4 - 4/5*u**3 + 24/5*u - 72/5 + 22/5*u**2.
-2*(u - 2)**2*(u + 3)**2/5
Let d = 333 - 333. Let p be 1/28 - (-1)/4. Factor d + p*v**3 + 2/7*v - 4/7*v**2.
2*v*(v - 1)**2/7
Let a = -58 - -62. Factor -2*k + 10*k**2 + 5*k**2 + 9*k**3 + 5*k - 27*k**a.
-3*k*(k - 1)*(3*k + 1)**2
Let l(r) be the third derivative of 289*r**7/1260 + 901*r**6/360 + 3013*r**5/360 + 53*r**4/12 + r**3 + 5*r**2 + 2. Factor l(f).
(f + 3)**2*(17*f + 2)**2/6
Let l(k) be the third derivative of k**5/160 - 93*k**4/64 - 47*k**3/8 - k**2 + 20*k. Determine q so that l(q) = 0.
-1, 94
Let y = -7558/9 + 840. Solve -y*l**2 - 2/3 + 2/9*l**3 - 10/9*l = 0.
-1, 3
Let j be (3/(-5) + -1)/((-9)/45). What is x in j*x - 6*x**3 - 7*x + 14*x**2 - 11*x + 2 = 0?
1/3, 1
Let n(h) be the first derivative of -h**4/6 - 46*h**3/9 - 40*h**2 + 96*h + 541. Let n(l) = 0. What is l?
-12, 1
Factor -87*z - 67*z**2 + 36*z**2 + 205*z + 33*z**2 + 116.
2*(z + 1)*(z + 58)
Let z(q) be the first derivative of -2/5*q**2 + 2/5*q**3 - 2/5*q + 7. Factor z(x).
2*(x - 1)*(3*x + 1)/5
Let g(t) be the third derivative of -t**6/40 + t**5/2 - 2*t**4 + t**2 + 37. Factor g(v).
-3*v*(v - 8)*(v - 2)
Let t(a) be the third derivative of -a**5/570 - 17*a**4/228 - 10*a**3/19 - 2*a**2 - 2*a. Find n such that t(n) = 0.
-15, -2
Let y = 31 - 27. Factor -3*v**3 - 19*v**y - 48*v**5 + 190*v - 190*v - 5*v**4.
-3*v**3*(4*v + 1)**2
Factor -15/2 - 9*z - 3/2*z**2.
-3*(z + 1)*(z + 5)/2
Let u = 1191 + -1189. Factor 4/7*o**u + 2/7 + 1/7*o**3 + 5/7*o.
(o + 1)**2*(o + 2)/7
Let h = -57 + 123/2. Let a be 2/6 + 50/12. Factor -3/2*u**3 - 3/2 - a*u**2 - h*u.
-3*(u + 1)**3/2
Let t = 83 - 80. Factor 7*l - 13*l - 4*l**t + l**3 + 9*l**2.
-3*l*(l - 2)*(l - 1)
Let a(x) be the third derivative of -13/120*x**6 - 27/112*x**8 + 0*x - 7/15*x**5 + 0*x**3 - 1/6*x**4 - 20*x**2 + 3/5*x**7 + 0. Factor a(g).
-g*(g - 1)**2*(9*g + 2)**2
Let q(a) be the second derivative of -a**4/12 - 41*a**3/3 - 1681*a**2/2 + 2*a - 5. Let q(y) = 0. Calculate y.
-41
Let g(c) be the first derivative of -5*c**3/3 - 55*c**2/2 + 60*c - 73. Factor g(j).
-5*(j - 1)*(j + 12)
Let t(h) = h**2 - 2*h + 12. Let s be t(-5). Let z = 103/2 - s. Factor -3/2*f**3 + 0*f**2 + 3 + z*f.
-3*(f - 2)*(f + 1)**2/2
Factor 206*f**4 + 4096*f**2 + 4*f**5 + 768*f**3 + 0*f**5 + 8192*f - 2*f**5 - 142*f**4.
2*f*(f + 8)**4
Suppose -v + 2*q = -3*v + 140, 3*q + 130 = 2*v. Suppose v = 5*x + 13. Factor a**2 + 9*a**3 + 2 + 12*a**2 + 21*a + 4 + x*a**2.
3*(a + 1)**2*(3*a + 2)
Let h(z) be the second derivative of z**5 + 16*z + 25/12*z**4 + 0*z**2 + 1/6*z**6 + 0 + 5/3*z**3. Factor h(k).
5*k*(k + 1)**2*(k + 2)
Let x be (26 + 8100/(-315))*(8 + -1). Let 0 - 1/7*g + 1/7*g**x = 0. What is g?
0, 1
Let s(z) be the third derivative of 13*z**8/840 + 18*z**7/175 + 47*z**6/300 - 23*z**5/75 - z**4 - 8*z**3/15 - 14*z**2. Suppose s(h) = 0. What is h?
-2, -1, -2/13, 1
Let o = -1456 - -5825/4. Let r(g) be the first derivative of 5 + 0*g + 1/4*g**3 - o*g**2 - 1/16*g**4. Find x, given that r(x) = 0.
0, 1, 2
Factor -3625*x - 5*x**4 - 180*x**2 - 49*x**3 + 16585*x - 91*x**3.
-5*x*(x - 8)*(x + 18)**2
Let t(n) be the second derivative of n**5/5 - 7*n**4/3 + 28*n**3/3 - 16*n**2 - 181*n. Factor t(q).
4*(q - 4)*(q - 2)*(q - 1)
Let v(n) be the first derivative of 4*n**3/15 - 196*n/5 + 573. Let v(c) = 0. What is c?
-7, 7
Let a(b) be the first derivative of -2*b**3/15 - 51*b**2/5 - 20*b - 290. Factor a(p).
-2*(p + 1)*(p + 50)/5
Let u be 123/(-164) - 15/(-4). Find v, given that 0 - 2/7*v**u + 0*v**2 + 2/7*v**4 + 0*v = 0.
0, 1
Let p(r) be the third derivative of r**6/10 + 89*r**5/15 - 5*r**4 + 2*r**2 - 143*r. Find x such that p(x) = 0.
-30, 0, 1/3
Let x = -8 + 10. Suppose 0 = -0*d - x*d + 7*d. Factor d + 0*n + 1/2*n**2 - 1/2*n**3.
-n**2*(n - 1)/2
Suppose 4*c = 2*c + 10. Let h(m) = -m**3 + 6*m**2 - 5*m + 3. Let q be h(c). Factor -9*n**q + 9*n**3 - 2*n**4 + 2*n**2.
-2*n**2*(n - 1)*(n + 1)
Solve 23*t - 12 - 5/6*t**2 - 16/3*t**3 + 7/6*t**4 = 0.
-2, 4/7, 3
Suppose 0 = m + 2*j - 4, 10*j - 9*j - 2 = 2*m. Let i be m - (91/(-126) - (-2)/4). Factor 2/3*s**2 + 2/3*s + i + 2/9*s**3.
2*(s + 1)**3/9
Let l be 4 - (24/(-4))/((-6)/4). Suppose l = -m + 5*z - 17, -8 = 7*m - 3*m - 5*z. Factor -1/2*t**2 - 9/2 - m*t.
-(t + 3)**2/2
Let x(l) be the first derivative of 1/3*l**3 + 0*l**5 - 30 + 0*l**2 + 0*l + 3/8*l**4 - 1/12*l**6. Find k such that x(k) = 0.
-1, 0, 2
Let k(s) be the second derivative of s**5/4 - 15*s**4/2 + 246*s. Suppose k(l) = 0. What is l?
0, 18
Let p(z) be the first derivative of z**6/10 + 7*z**5/25 - z**4/20 - 7*z**3/15 - z**2/5 - 53. Let p(i) = 0. What is i?
-2, -1, -1/3, 0, 1
Let d(z) be the third derivative of z**7/42 + 5*z**6/24 - 13*z**5/12 + 35*z**4/24 + 221*z**2. Determine v, given that d(v) = 0.
-7, 0, 1
Suppose 2*g = -2*y + 36, 3*y = g - 10 + 80. Suppose 13 = 7*o - y. Let -k**o - k**3 + 2/3*k + 7/3*k**4 + 0 - k**2 = 0. What is k?
-2/3, 0, 1
Determine k, given that 12/13*k + 8/13*k**3 - 22/13*k**2 + 0 = 0.
0, 3/4, 2
Factor -8 + 1/2*q**5 + 2*q**3 - 16*q - 8*q**2 + 5/2*q**4.
(q - 2)*(q + 1)*(q + 2)**3/2
Factor -77/6*c - 1/6*c**2 - 38/3.
-(c + 1)*(c + 76)/6
Let s(m) = m**2 + 4*m - 8. Let h be s(-6). Let i(d) be the second derivative of 0 - 3*d + 0*d**2 - 1/20*d**5 + 0*d**3 + 1/12*d**h. Factor i(c).
-c**2*(c - 1)
Suppose 5*m + 31 - 56 = 0. Let d(i) be the third derivative of -1/18*i**3 - 1/12*i**4 + 0 - 7*i**2 + 0*i - 1/20*i**m. Suppose d(k) = 0. What is k?
-1/3
Factor -64/15 + 22/5*g - 2/15*g**2.
-2*(g - 32)*(g - 1)/15
Let g = 17 + -14. Let f(b) be the third derivative of g*b**2 + 4/105*b**7 + 1/12*b**4 + 0*b**3 + 1/10*b**6 + 2/15*b**5 + 0 + 0*b + 1/168*b**8. Factor f(x).
2*x*(x + 1)**4
Suppose -16/7 + 2/7*c**2 + 4/7*c = 0. Calculate c.
-4, 2
Let x(h) = 13*h - 413. Let q be x(32). Suppose -1/2*g**5 - 13/2*g**4 + g**2 + 23/2*g + 11/2 - 11*g**q = 0. Calculate g.
-11, -1, 1
Let f(i) be the first derivative of -i**4/28 + 9*i**3 - 4512*i**2/7 + 8836*i/7 - 567. Factor f(d).
-(d - 94)**2*(d - 1)/7
Let c(x) be the third derivative of -1/10*x**6 + 21*x**2 - 1/168*x**8 - 2/15*x**5 + 0 + 0*x**3 + 0*x - 1/12*x**4 - 4/105*x**7. What is v in c(v) = 0?
-1, 0
Let g(q) = -27*q**2 - 136*q + 35. Let n(b) = -14*b**2 - 68*b + 18. Let p(v) = 4*g(v) - 7*n(v). Factor p(k).
-2*(k + 7)*(5*k - 1)
Factor -15*u**4 - 10*u + 35*u**2 - 10*u**3 + 4968 - 4968.
-5*u*(u - 1)*(u + 2)*(3*u - 1)
Let k(q) = q**2 - 42*q + 187. Let r be k(37). Factor 3/4*h**3 + 9/4*h**r + 3/4 + 9/4*h.
3*(h + 1)**3/4
What is y in -66*y**3 + 96*y - 99/2*y**2 + 30 - 21/2*y**4 = 0?
-5, -2, -2/7, 1
Let u(t) = t**3 - 11*t**2 + t - 6. Let y be u(11). Suppose 4*v + 15 = b + 5*v, -y*v = 2*b - 27. Factor 3*f - 2*f**2 - b - f + 20.
-2*(f - 2)*(f + 1)
Let l(r) = -r**3 + 8*r**2 - 13*r + 6. Let d(t) =