e p(6). Let k be 31/3*o/405. Factor -612/5*h + k*h**2 - 3*h**3 + 216/5.
-3*(h - 6)**2*(5*h - 2)/5
Let x be (-2*5/(-10))/(2/2). Factor -x - 21*j + 9 + 9*j**3 + 1 - 21*j**2.
3*(j - 3)*(j + 1)*(3*j - 1)
Let t(g) be the second derivative of -g**7/462 + g**6/330 + g**5/44 - 5*g**4/132 - 2*g**3/33 + 2*g**2/11 - 3467*g. Solve t(h) = 0.
-2, -1, 1, 2
Solve -35/4*g - 7/2*g**2 + 12 + 1/4*g**3 = 0 for g.
-3, 1, 16
Let x(i) be the third derivative of -2/105*i**5 + 4/105*i**6 + 10/21*i**3 - 158*i**2 - 4/21*i**4 - i - 2/245*i**7 + 0. Suppose x(p) = 0. Calculate p.
-1, 1, 5/3
Factor 19/4 - 1/4*h**2 + 9/2*h.
-(h - 19)*(h + 1)/4
Suppose 4*l = -5*h - 24, 119*l + 52 = 124*l - 4*h. Factor 6/5 + 21/5*i**2 - 9/5*i**3 - 19/5*i + 1/5*i**l.
(i - 6)*(i - 1)**3/5
Let r = 83646/61087 - -72/4699. Suppose 0 + 2/13*s**2 - r*s = 0. What is s?
0, 9
Let y = 76967/57732 - -3/19244. Let 28/3*l**3 + 22/3*l**2 + 0 + y*l = 0. Calculate l.
-1/2, -2/7, 0
Let g be (-5 + 15)*16/56 + 2. Factor 380/7*r**2 + 2/7*r**5 + 46*r + 14 + g*r**4 + 188/7*r**3.
2*(r + 1)**3*(r + 7)**2/7
Let o(i) = -i**2 - 806*i - 17245. Let j be o(-22). Solve -16/3 + 1/3*a**5 + 16*a - 56/3*a**2 + 32/3*a**3 - j*a**4 = 0.
1, 2
Suppose 5*v + 13 = 18*v. Let p(w) = -w + 1. Let s(f) = -f**2 - 112*f - 2803. Let r(b) = v*s(b) - 6*p(b). Factor r(x).
-(x + 53)**2
Let p(i) = -2*i**3 - 24*i**2 - 45*i + 832. Let n(l) = 5*l**3 + 59*l**2 + 113*l - 2080. Let t(d) = 5*n(d) + 13*p(d). Factor t(z).
-(z - 4)*(z + 8)*(z + 13)
Suppose -3*g = g + i - 14, 4*i = -4*g + 32. Factor 147/8*y**g + 21*y + 6.
3*(7*y + 4)**2/8
Let o(q) be the first derivative of -3*q**4/4 + 26*q**3 + 255*q**2/2 + 174*q - 566. Factor o(d).
-3*(d - 29)*(d + 1)*(d + 2)
Let p(v) be the second derivative of -17*v - 2 + 1/70*v**5 + 1/14*v**4 - 3/7*v**2 - 1/21*v**3. Factor p(c).
2*(c - 1)*(c + 1)*(c + 3)/7
Let n(g) = g**3 - 10*g**2 - 10*g + 10. Let m be n(11). Let y = 25 - m. Factor -42*i - 96*i**2 + 32*i**3 + 163*i - 25 - 39 - 4*i**y + 7*i.
-4*(i - 2)**4
Let j(q) = -297*q - 2374. Let x be j(-8). Let a(p) be the second derivative of -4*p**5 + p**x + 0 + 8/3*p**3 + 5/3*p**6 - 8*p + p**4. Find i such that a(i) = 0.
-1/5, 1
Suppose 5*o - 59 = -2*b + 76, 5*o = 15. Find q, given that 15*q + b*q**2 + 55*q - 2042*q**5 - 6*q**4 - 13*q + 2039*q**5 + 18*q**3 + 18 = 0.
-2, -1, 3
Let w(x) be the third derivative of -x**6/60 + 17*x**5/30 - 16*x**4/3 + 16*x**3 + 1310*x**2. Factor w(c).
-2*(c - 12)*(c - 4)*(c - 1)
Let o(c) be the second derivative of -c**4/84 + 10*c**3/7 + 62*c**2/7 + c - 519. Let o(m) = 0. Calculate m.
-2, 62
Factor -304/9*j + 0 + 4/9*j**2.
4*j*(j - 76)/9
Let a = 22280/33393 + -6/11131. Solve 6/5 - a*w**2 + 2/5*w + 2/15*w**3 = 0.
-1, 3
Let r(o) be the third derivative of -2 - 76*o**2 + 1/54*o**5 + 5/108*o**6 + 0*o + 1/315*o**7 - 8/27*o**3 - 25/108*o**4. Solve r(b) = 0.
-8, -1, -1/3, 1
Let v = 31890 + -31888. Suppose o + 2*d = -2*d + 19, -5*o + 23 = 2*d. Factor -6 + 12*b + 3/2*b**o - 15/2*b**v.
3*(b - 2)**2*(b - 1)/2
Let f(h) be the first derivative of h**8/420 + h**7/42 + 7*h**6/90 + h**5/10 + 19*h**3 + 87. Let x(u) be the third derivative of f(u). Solve x(j) = 0 for j.
-3, -1, 0
Let g(r) be the first derivative of r**4/18 - 176*r**3/27 + 1936*r**2/9 - 542. Factor g(t).
2*t*(t - 44)**2/9
Suppose 58*y + 12 = 61*y. Find w such that -y*w**2 + 2*w**3 - 93*w**2 - 6*w**3 - w**3 + 37*w**2 = 0.
-12, 0
Let x = 236 - 230. Suppose -143*n - n**3 - 31*n**2 + 0*n**3 + 169 + x*n**2 = 0. Calculate n.
-13, 1
Let x be (1/(-3))/((-3)/99). Suppose -2*y = x - 79. Factor -18*j + 24*j**3 + 16*j**4 - 12*j + y*j + 16*j**2 + 4*j**5.
4*j*(j + 1)**4
Let k(g) be the second derivative of 0*g**5 - 3/7*g**4 - 8/21*g**3 + 0 - 59*g + 24/7*g**2 + 2/105*g**6. Factor k(i).
4*(i - 3)*(i - 1)*(i + 2)**2/7
Let a(x) be the third derivative of -x**5/480 + 547*x**4/96 + 365*x**3/16 + x**2 - 573*x. Find g, given that a(g) = 0.
-1, 1095
Suppose 0 = 7*k - 16 - 54. Solve 20 + 22*w**4 - 79*w**4 - 80*w + 32*w**4 + 75*w**2 + k*w**3 = 0 for w.
-2, 2/5, 1
Let d(t) = 9*t**3 + 57*t**2 + 63*t + 18. Let f be d(-5). Factor 36/11*y**2 + 0 + 2/11*y**f + 0*y.
2*y**2*(y + 18)/11
Let j(g) be the second derivative of g**5/50 - 53*g**4/5 + 1664*g**3 + 10240*g**2 - 1872*g. Find w such that j(w) = 0.
-2, 160
Let t = -1922187/7 - -274605. Find p such that -4/7*p**2 - 16/7*p + t = 0.
-6, 2
Let q = -33/1679 + 70683/8395. Determine k so that -44/5*k**2 + q*k**3 - 2/5*k**5 - 4/5*k**4 - 8*k + 48/5 = 0.
-6, -1, 1, 2
Let x = 5291320613/18421365067 + -26/3993359. Let n = -1/659 + x. Factor -2/7*g**2 + 0 - n*g**4 + 4/7*g**3 + 0*g.
-2*g**2*(g - 1)**2/7
Let f(g) be the first derivative of -7/4*g**3 + 9/8*g**2 + 9/20*g**5 - 1/4*g**6 + 0*g + 9/16*g**4 + 30. Factor f(j).
-3*j*(j - 1)**3*(2*j + 3)/4
Find v such that -28*v - 4*v**2 + 4020*v**3 - 184 + 176 - 4040*v**3 - 4*v**4 - 32*v**2 = 0.
-2, -1
Let j(a) = -5*a**2 - 4016*a + 1536. Let k(m) = -2*m**2 - 2008*m + 782. Let g(n) = -4*j(n) + 7*k(n). Factor g(d).
2*(d + 335)*(3*d - 1)
Suppose 7*r = 5*f + 3*r - 18, f + 5*r = -8. Solve 5*z - 2*z**f - 87 + 14 + 9 + 35*z + 26*z = 0 for z.
1, 32
Let r(v) be the first derivative of -v**3/6 - 169*v**2/4 - 249*v - 246. Factor r(o).
-(o + 3)*(o + 166)/2
Determine s, given that -10/3*s**2 + 0 + 8*s - 13/3*s**3 - 1/3*s**4 = 0.
-12, -2, 0, 1
Suppose 3*o = 3*a - 36, 3*a + 3*o - 12 = 12. Suppose -5*k + a = -5*g, -2*k - 2*g + 8 = 2*k. Suppose 0*t + t**2 + 4*t**k - 4*t**2 + t = 0. What is t?
-1, 0
Suppose 201*s + 2122 - 384 = 1070*s. Solve 2*p**s + 134/5*p + 52/5 = 0 for p.
-13, -2/5
Suppose 26/5*i**2 + 1/5*i**3 + 10584/5 - 1316/5*i = 0. Calculate i.
-54, 14
Let p(j) = 14*j**3 + 2650*j**2 + 881798*j + 18. Let g(q) = -40*q**3 - 7951*q**2 - 2645393*q - 51. Let z(i) = -6*g(i) - 17*p(i). Suppose z(d) = 0. Calculate d.
-664, 0
Suppose 2*h - 21 + 15 = 0. Find u such that 7*u**2 + 21*u**2 + h*u - 23*u = 0.
0, 5/7
Let a(t) be the second derivative of -t**7/42 + 13*t**6/30 - 3*t**5 + 32*t**4/3 - 64*t**3/3 + 24*t**2 + t - 133. Factor a(s).
-(s - 6)*(s - 2)**3*(s - 1)
Let t(m) be the first derivative of 5/16*m**4 - 17 + 0*m + 0*m**3 - 5/8*m**2. Factor t(v).
5*v*(v - 1)*(v + 1)/4
Factor -73/2*k - 37*k**2 + 0 - 1/2*k**3.
-k*(k + 1)*(k + 73)/2
Let d(k) be the first derivative of 2*k**6/3 - 36*k**5/5 - 17*k**4 + 156*k**3 + 608*k**2 + 720*k - 11273. Suppose d(b) = 0. What is b?
-2, -1, 5, 9
Let q(m) be the first derivative of 419/6*m**3 - 759/16*m**4 - 77/2*m**2 - 14 + 6*m + 171/20*m**5. Solve q(v) = 0.
2/19, 2/3, 3
Suppose -15*x + 12*x = -9. Let l(b) = b**3 - 8 + x*b**3 + 7*b + 2*b**2 + b**3 + 0*b**3. Let n(d) = d**3 + d - 1. Let r(z) = -l(z) + 6*n(z). Factor r(v).
(v - 2)*(v - 1)*(v + 1)
Let u be 35 + (0 + 1 + -1 - 2). Suppose -21 = 26*n - u*n. Factor 25 + 64*t - 60*t - 24*t**2 - 1 - 4*t**n.
-4*(t - 1)*(t + 1)*(t + 6)
Let h(t) be the second derivative of t**7/21 + t**6/3 - 19*t**5 - 295*t**4/3 + 3135*t**3 + 9801*t**2 + 3356*t. Determine j so that h(j) = 0.
-11, -1, 9
Suppose 4 = z - b + 7, 25 = 5*z + 5*b. Let k be z/5 - 5/(150/(-9)). Let -1/4*f**3 - k - 2*f - 11/8*f**4 + 33/8*f**2 = 0. What is f?
-2, -2/11, 1
Let y(h) = -3*h**2 + 49*h - 12. Let d be y(16). Let w = -15 - -29. Factor 24 + w*k**2 + 9*k**3 + 32*k - d*k**3 - 3*k**3.
2*(k + 2)**2*(k + 3)
Let d(j) be the third derivative of j**6/300 + 124*j**5/75 + 16093*j**4/60 + 29282*j**3/5 + 2*j**2 + 30*j - 2. Factor d(k).
2*(k + 6)*(k + 121)**2/5
Solve -315*n**4 - 606*n**2 - 140*n - 971*n**2 + 437*n**2 - 491*n**3 - 546*n**3 - 1328*n**3 = 0.
-7, -2/7, -2/9, 0
Factor 144/13 + 2*c**2 - 172/13*c + 2/13*c**3.
2*(c - 4)*(c - 1)*(c + 18)/13
Let p be (-8)/(32/6) + (-6)/(-4). Suppose -5*w + 2 = -8. Factor 11*r**3 - w*r**2 + p*r**2 + 0*r + 2 - 9*r**3 - 2*r.
2*(r - 1)**2*(r + 1)
Let d(z) be the first derivative of z**7/168 - z**6/24 - z**5/6 + 260*z**3/3 + 101. Let j(w) be the third derivative of d(w). Factor j(s).
5*s*(s - 4)*(s + 1)
Let n(g) = 2*g**3 + 2*g**2 - 9*g - 8. Suppose 4*k - 465 = 9*k. Let u = -91 - k. Let s(p) = p. Let x(w) = u*s(w) + 2*n(w). Determine f, given that x(f) = 0.
-2, -1, 2
Let q(s) be the second derivative of s**7/14 + 17*s**6/10 - 303*s**5/20 + 191*s**4/4 - 76*s**3 + 66*s**2 + 2*s - 442. Factor q(u).
3*(u - 2)*(u - 1)**3*(u + 22)
What is j in -219/2*j**2 + 72111/2 - 3/2*j**3 - 2193/2*j = 0?
-43, 13
Let n(t) be the fi