 - 64*z**2 - w*z + 15*z**3 - 20 + 26*z + 2 + 22*z.
(z - 3)*(3*z - 2)*(5*z - 3)
Suppose 33*x = -23*x - 40936. Let v = x + 734. Factor 0 + 1/3*w**4 + 2/3*w**v - 1/3*w**2 - 2/3*w.
w*(w - 1)*(w + 1)*(w + 2)/3
Determine g so that -114*g**3 + 377*g + 42*g**3 + 181*g - 2279*g**4 - 254 + 2282*g**4 - 58 - 177*g**2 = 0.
-4, 1, 26
Factor -21200/3*b - 10000 - 36*b**3 - 1/3*b**4 - 1104*b**2.
-(b + 2)*(b + 6)*(b + 50)**2/3
Factor -154 - 96 - 39*r - 49*r**2 - 96*r + 44*r**2.
-5*(r + 2)*(r + 25)
Suppose 2*t + 4*y - 15 = 29, 8*t = 4*y + 76. Factor -t*v - 50*v**2 - 14/3*v**4 + 0 - 88/3*v**3.
-2*v*(v + 3)**2*(7*v + 2)/3
Let j(k) be the first derivative of k**4/22 + 920*k**3/11 + 634800*k**2/11 + 194672000*k/11 + 865. Factor j(o).
2*(o + 460)**3/11
Factor 3831/4 + 957*v - 3/4*v**2.
-3*(v - 1277)*(v + 1)/4
Suppose -5*f + g = 32, -2 = -4*g + 6. Let k(s) = s**2 - s + 1. Let h(a) = -7*a**2 + 3*a - 2. Let n(d) = f*k(d) - h(d). Factor n(o).
(o - 1)*(o + 4)
Suppose 4*p + 36 = 3*z + z, -3*z - 5 = 5*p. Factor 3*l**2 - 2*l**2 - 2*l**4 + l**3 - 96*l**z + 95*l**5 + l**4.
-l**2*(l - 1)*(l + 1)**2
Suppose -3*f = -18, -2*q - 105*f + 109*f = 20. Let r(t) be the first derivative of 18 + 1/7*t**q - 2/21*t**3 + 0*t. Factor r(y).
-2*y*(y - 1)/7
Let i(y) be the first derivative of y**3/5 + 39*y**2/10 + 18*y - 2361. Factor i(p).
3*(p + 3)*(p + 10)/5
Let r = 36116 + -1083479/30. Let w(o) be the first derivative of -r*o**3 + 0*o + 48 + 1/20*o**2 - 1/40*o**4 + 1/50*o**5. Suppose w(l) = 0. What is l?
-1, 0, 1
Let t(x) be the first derivative of 93 + 80/3*x**3 + 7*x**4 - 4/5*x**5 - 264*x**2 - 576*x. Suppose t(y) = 0. Calculate y.
-4, -1, 6
Let q = 72 + -61. Suppose 0 = -q*u - 0*u + 44. Factor 20*g**2 + g - u*g**4 + 7*g + 294*g**3 - 4*g**5 - 282*g**3.
-4*g*(g - 2)*(g + 1)**3
Let l be (-56)/(-126)*((-475)/(-40) + -10). Factor -2/3*q + l - 1/6*q**2.
-(q - 1)*(q + 5)/6
Let w(h) = 199*h - 4970. Let v be w(25). Let -8/7*x**3 - 4/7*x**2 - 4/7 + 8/7*x**4 - 2/7*x**v + 10/7*x = 0. Calculate x.
-1, 1, 2
Let l(x) = -14*x**4 - 320*x**3 + 927*x**2 - 890*x + 336. Let a(g) = -g**4 - g**3 + 3*g + 2. Let t(m) = -26*a(m) + 2*l(m). Find f, given that t(f) = 0.
-310, 1
Let b(f) be the third derivative of -f**6/120 - 4*f**3/3 + 11*f**2. Let q be b(-2). Find g, given that q*g + 2/3*g**3 + 0 - 2/3*g**2 = 0.
0, 1
Let h(f) be the first derivative of -2*f**3/33 - 53*f**2/11 - 204*f/11 - 6887. Determine x, given that h(x) = 0.
-51, -2
Let l(z) be the first derivative of 4*z**5/5 + 22*z**4 - 116*z**3/3 - 276*z**2 - 2653. Determine s so that l(s) = 0.
-23, -2, 0, 3
Let j(o) be the second derivative of 77*o + 0*o**2 - 2 + 1/3*o**4 - 8*o**3. Suppose j(z) = 0. What is z?
0, 12
Let b = 2850/7819 - 88/1117. Determine v so that -104/7*v + 1352/7 + b*v**2 = 0.
26
Let g = -2/67 + 286/603. Let f(n) = -368*n + 10674. Let x be f(29). Factor g*z**x + 2/9*z**5 + 2/3*z - 4/9 - 8/9*z**3 + 0*z**4.
2*(z - 1)**3*(z + 1)*(z + 2)/9
Factor -y**4 - 5*y**4 - 59724*y**3 + 14*y + 59774*y**3 - 58*y**2.
-2*y*(y - 7)*(y - 1)*(3*y - 1)
Let g(n) = 34*n**2 + 13*n + 77. Let i be g(-15). Suppose 12632*j**3 - 768*j + i*j**3 + 19596*j**2 - 16459*j**2 + 36055*j**2 + 32 - 1488*j = 0. What is j?
-2, 2/71
Suppose -3*z - 27 = 1645*b - 1648*b, -4*z = -3*b + 22. Factor -1/5*u**z + 19/5*u - 6/5 + 2/5*u**4 - 4*u**2 + 6/5*u**3.
-(u - 2)*(u - 1)**3*(u + 3)/5
Determine c so that -36864/5 + 956*c**3 - 183552/5*c - 5*c**4 - 226564/5*c**2 = 0.
-2/5, 96
Suppose 10*t - 72 = -8*t. Factor -20*g + 16 - 29 + t*g**2 + 13.
4*g*(g - 5)
Let y = -74723/3 + 24908. What is g in 361/3 + y*g**2 - 38/3*g = 0?
19
Let t(u) = 4*u**2 + 17*u - 45. Let n(r) = 26*r**2 - 16*r**2 - 6*r**2 - 46 + 18*r. Let d(j) = 5*n(j) - 6*t(j). Suppose d(b) = 0. Calculate b.
-5, 2
Let b(l) be the third derivative of 0*l**3 + 1/100*l**6 - 2/525*l**7 - 1/840*l**8 + 3 + 0*l - 1/15*l**4 + 2/75*l**5 - 15*l**2. Let b(w) = 0. What is w?
-2, 0, 1
Let y(r) = 2*r**4 + 20*r**3 - 64*r**2 - 62*r + 192. Let z(d) = -3*d**4 - 42*d**3 + 128*d**2 + 123*d - 384. Let x(m) = -5*y(m) - 2*z(m). Solve x(u) = 0.
-6, -2, 2
Let r be 47 + -2 + 2 + -1 + -1. Let p(k) be the second derivative of 6*k**2 - 32/5*k**6 + 156/5*k**5 - 19*k + r*k**4 + 47/2*k**3 + 0. Solve p(y) = 0.
-1/4, 4
Solve -121 - 23*q + 122 - 2*q**2 - q - 55 = 0 for q.
-9, -3
Let i be (1 - (-2)/(-10))*(-92)/(-10304). Let w(x) be the second derivative of 0*x**2 + 0 + 1/14*x**4 + 9*x + 3/14*x**3 + i*x**5. Factor w(y).
y*(y + 3)**2/7
Suppose 33/8*f**2 - 9/8*f - 135/4 = 0. What is f?
-30/11, 3
Let h(b) be the third derivative of 25/336*b**8 + 1 + 0*b**3 + 0*b + 0*b**4 - 13*b**2 - 9/5*b**6 + 11/15*b**5 + 17/14*b**7. Factor h(a).
a**2*(a + 11)*(5*a - 2)**2
Let a = 11310 + -11310. Let d(q) be the second derivative of a*q**2 - 1/6*q**3 + 0 - 1/60*q**4 - 16*q. Factor d(t).
-t*(t + 5)/5
Determine t so that 2853*t**2 + 5808 - 20*t**3 - 9152*t - 1347*t**2 - 2374*t**2 = 0.
-22, 3/5
Let x(t) be the first derivative of -2/5*t**5 + t**4 + 0*t + 0*t**2 - 172 + 0*t**3. Factor x(d).
-2*d**3*(d - 2)
Let j(c) be the first derivative of -c**6/12 - 2407*c**5/10 + 5516. Factor j(d).
-d**4*(d + 2407)/2
Let z = -1710 - -1674. Let h(c) = -12*c - 429. Let f be h(z). Determine t so that -12/7 - 36/7*t**f + 12/7*t**2 + 20/7*t + 16/7*t**4 = 0.
-3/4, 1
Let q(u) be the second derivative of -u**5/240 + u**3/24 + 4*u**2 + 27*u. Let s(t) be the first derivative of q(t). Determine p so that s(p) = 0.
-1, 1
Suppose 16/11*u**4 - 54/11*u**3 + 8/11*u**5 - 24/11 - 112/11*u - 158/11*u**2 = 0. Calculate u.
-2, -1/2, 3
Suppose 2497 - 833 = 13*h. Let a be (h/(-40))/((-20)/25). Factor 17/7*l**3 + 24/7*l**2 + 2/7 + 13/7*l + 4/7*l**a.
(l + 1)**2*(l + 2)*(4*l + 1)/7
Suppose -1738 = -19*h - 199. Find y, given that 110*y**2 + 107*y**2 + h*y - 335*y**2 + 84 + 115*y**2 = 0.
-1, 28
Let c(i) be the third derivative of i**5/80 - 479*i**4/16 + 229441*i**3/8 - 1781*i**2 - i. Factor c(b).
3*(b - 479)**2/4
Let v(h) = h**2 + 6*h + 4. Let u(n) = 2*n**2 + 16*n + 11. Let m(q) = 3*u(q) - 8*v(q). Let t(y) = y**2 - 36*y + 61. Let l(i) = -m(i) + t(i). Solve l(r) = 0.
2, 10
Let l(k) be the second derivative of k**7/42 + 14*k**6/15 - 8*k**5/5 - 736*k**4/3 + 8320*k**3/3 - 12800*k**2 - 1490*k. Factor l(u).
(u - 4)**3*(u + 20)**2
Let y(m) be the third derivative of m**5/30 + 17*m**4/24 - 26*m**3/3 - 48*m**2. Let i be y(-11). Factor 0 - 1/2*o**3 + i*o - 1/2*o**2.
-o*(o - 2)*(o + 3)/2
Suppose -44*i = 20*i - 168960. Let w be 1632/i + 4/22. Solve 0*h**4 - w*h**2 + 6/5*h + 2/5*h**5 + 4/5 - 8/5*h**3 = 0 for h.
-1, 1, 2
Let m(t) be the third derivative of -t**5/30 + 91*t**4/6 + 1834*t**2. Factor m(i).
-2*i*(i - 182)
Let z(p) be the third derivative of -p**8/1680 - p**7/175 - 3*p**6/200 - p**5/75 + 3*p**2 - 179. Solve z(c) = 0 for c.
-4, -1, 0
Let v(z) be the second derivative of -z**5/5 - z**4/3 + 16*z**3 - 72*z**2 - 876*z. Solve v(g) = 0.
-6, 2, 3
Let f(k) be the first derivative of -3*k**6/10 - 18*k**5/25 + 35*k**4/4 - 16*k**3 + 22*k**2/5 + 48*k/5 + 878. Solve f(a) = 0 for a.
-6, -1/3, 1, 4/3, 2
Let h be 39*(-49)/(-5733)*9. Factor 18*f - 4 - 15*f**2 + 7/2*f**h.
(f - 2)**2*(7*f - 2)/2
Let l(c) be the third derivative of c**5/600 - c**4/4 + 273*c**3/20 + c**2 + 3301*c. Factor l(z).
(z - 39)*(z - 21)/10
Let q(s) = -s**3. Let f(i) = -2*i**4 + 12*i**3 - 2*i**2 - 6*i + 4. Let t be (0 - 7)*(3 - (-81)/(-21)). Let l(o) = t*q(o) + f(o). Factor l(x).
-2*(x - 2)*(x - 1)**2*(x + 1)
Suppose 3*k - 13 = -4*z, 3*z - 5*k - 13 = 4. Factor -5 - 3*l**2 - 101*l - z + 1 + 42.
-(l + 34)*(3*l - 1)
Let g(r) be the second derivative of r**4/54 - 52*r**3/27 + 2015*r + 1. Factor g(a).
2*a*(a - 52)/9
Let k be (-3 - (-1)/5)/(2/(-60)). Let u = k + -81. Solve 0*w - 1/4*w**u + 0 + 1/4*w**2 = 0 for w.
0, 1
Let i(k) = -k**3 - 3*k**2 - 2*k. Let f be i(-2). Let c = 9/373568 - -933911/373568. Factor g**2 - 3/2*g**4 - c*g**3 + 0 + f*g.
-g**2*(g + 2)*(3*g - 1)/2
Let g be (-18)/(16 + -10) - -63. Suppose a - g = -2*p, 0 = 2*a - 26*p + 23*p - 99. Find x, given that 3/2*x**2 - 18*x + a = 0.
6
Let f(k) be the first derivative of k**6/75 + 3*k**5/25 + 2*k**4/5 + 8*k**3/15 - 15*k + 84. Let v(n) be the first derivative of f(n). Let v(t) = 0. What is t?
-2, 0
Let x(v) be the first derivative of -v**6/4 - 301*v**5/10 - 10193*v**4/8 - 40161*v**3/2 - 32670*v**2 + 71874*v + 277. Solve x(w) = 0 for 