uch that t(w) = 0.
2/3, 10
Let q be 11 - (-2232)/(-1404) - (1 - (-24)/(-26)). Let 1/3*h**4 + 10*h**2 - q*h - 4*h**3 + 3 = 0. What is h?
1, 9
Let h = -580859/21 + 27660. Let j(u) be the second derivative of -1/50*u**5 + 1/15*u**4 + 0*u**2 + 0 + 0*u**3 - h*u**7 - 8/75*u**6 + 23*u. Solve j(o) = 0 for o.
-1, 0, 2/5
Let x(r) be the first derivative of -r**5/20 + 9*r**4/8 + r**3/12 - 9*r**2/4 + 44. Solve x(j) = 0 for j.
-1, 0, 1, 18
Solve -3*w + 60311*w**4 - 3*w**5 - 132*w**3 + 3*w + 120*w**2 - 60269*w**4 = 0.
0, 2, 10
Suppose 6*p = q + 16, 9*q - 4 = 10*q - 2*p. Suppose -8*i = -5*i + q*g - 12, 2*i - g - 1 = 0. Let 0 + 3/5*k + 1/10*k**i = 0. Calculate k.
-6, 0
Let d = 1195/3 + -395. Suppose -36 = -17005*g + 16993*g. Factor -d*j - 16/9 - 4/3*j**2 + 2/9*j**g.
2*(j - 8)*(j + 1)**2/9
Let m(y) be the second derivative of y**5/20 + 5*y**4/12 - 2*y**3/3 + 8*y**2 - 20*y. Let g be m(-6). Factor -g*c + 160*c**2 - 323*c**2 + 158*c**2 - 31*c.
-5*c*(c + 7)
Let p be (47/423)/(((-80)/24)/(-10)). Suppose -p*j**2 + 1 + 2/3*j = 0. What is j?
-1, 3
Let p(k) be the first derivative of -k**8/1680 + k**7/360 - k**6/540 - 38*k**3/3 + 15. Let a(n) be the third derivative of p(n). Factor a(c).
-c**2*(c - 2)*(3*c - 1)/3
Let a be -19 - 6 - 2040/(-80). Factor 3/2*q + a*q**2 - 5.
(q - 2)*(q + 5)/2
Let b(u) = u**2 + 117*u - 4756. Let i be b(-149). Determine m, given that 2/3*m**4 + 0 + 16/3*m**3 + i*m + 14*m**2 = 0.
-3, -2, 0
Let u = 7921 + -7918. Let p(o) be the first derivative of 7 - 2/15*o**u + 7/5*o**2 - 12/5*o. Determine x so that p(x) = 0.
1, 6
Let d = -149 + 158. Factor -33*w - 4*w**2 + 1268 + d*w - 1304.
-4*(w + 3)**2
Let v = -1044039/7 + 63686104/427. Let n = 13/61 - v. Suppose 0 - 9/7*k**5 + n*k**4 + 12/7*k - 36/7*k**2 + 27/7*k**3 = 0. Calculate k.
-2, 0, 2/3, 1
Determine v, given that -95*v + 264*v - 129*v**3 - 65894759*v**4 + 819*v**2 + 65894764*v**4 = 0.
-1/5, 0, 13
Let z = 609 + -605. Let -15*a**4 - 8*a**3 - 31*a**3 + 19*a**z + 7*a**3 = 0. What is a?
0, 8
Let m(l) be the first derivative of -5*l**7/42 - l**6 - 9*l**5/4 - 65*l + 72. Let b(h) be the first derivative of m(h). Let b(q) = 0. What is q?
-3, 0
Factor -64/5*z**2 - 1 + 321/5*z.
-(z - 5)*(64*z - 1)/5
Suppose 5899*c = 7198*c. Factor 0*m**2 - 2/5*m**4 - 8/5*m + c + 6/5*m**3.
-2*m*(m - 2)**2*(m + 1)/5
Let r(n) be the first derivative of -13*n**6/12 + 12*n**5/5 - 11*n**4/5 + 16*n**3/15 - 37*n**2 + 59. Let g(a) be the second derivative of r(a). Factor g(v).
-2*(5*v - 2)**2*(13*v - 4)/5
Let f be (-39)/(-9)*12/14. Suppose 4*t = -18*c + 39*c + 239, -t - 2*c = 20. Let 32/7*i + 26/7*i**4 - 18/7*i**t - 8/7 - f*i**3 - 6/7*i**5 = 0. Calculate i.
-1, 1/3, 1, 2
Let -2*m**4 + 11*m**2 + 0*m + 87/2*m**3 + 0 = 0. What is m?
-1/4, 0, 22
Let y(f) = -f**2 - 35*f - 64. Let r be y(-12). Let c = -208 + r. Factor 0 + 0*h + h**c + 1/3*h**2 + 4/3*h**3.
h**2*(h + 1)*(3*h + 1)/3
Suppose 228/5 - 159/5*v + 66/5*v**4 - 294/5*v**2 + 3/5*v**5 + 156/5*v**3 = 0. What is v?
-19, -4, -1, 1
Let n(z) be the second derivative of z**6/30 - 49*z**5/20 + 103*z**4/4 - 213*z**3/2 + 189*z**2 + 729*z. Factor n(x).
(x - 42)*(x - 3)**2*(x - 1)
Let v(d) be the second derivative of 39/10*d**5 + 0 - 157*d - 8*d**3 - 19/6*d**4 + 4*d**2. Find z, given that v(z) = 0.
-2/3, 2/13, 1
Let v(o) be the third derivative of 25/96*o**4 - 1/240*o**5 + 0*o + o**2 + 13/12*o**3 - 16. Factor v(y).
-(y - 26)*(y + 1)/4
Let n(f) = 13*f**3 - 21*f**2 - 94*f - 66. Let d(v) = -37*v**3 + 64*v**2 + 281*v + 197. Let m(c) = -6*d(c) - 17*n(c). Factor m(b).
(b - 30)*(b + 1)*(b + 2)
Let t = 103 + 5. Factor 18*b**3 + t*b + 12*b**3 - 18*b**3 + 21 + 99*b**2.
3*(b + 1)*(b + 7)*(4*b + 1)
Let l = 1103 + -1103. Let f(s) be the second derivative of 3/160*s**5 - 3/32*s**4 - 13*s + 0 + 1/8*s**3 + l*s**2. Factor f(g).
3*g*(g - 2)*(g - 1)/8
Let f be (-22788)/9000 - ((-2 - -2) + -5). Let n = f - -4/125. Factor 5/2*s**2 - 5/2*s**4 - n*s**5 + 5/2*s**3 + 0 + 0*s.
-5*s**2*(s - 1)*(s + 1)**2/2
Let j(o) = -o**3 - 8*o**2 - 2*o - 14. Let a be j(-8). Let z(l) = l**3 - 3*l**2 + 3*l - 2. Let b be z(a). Factor -2*q + 2 + b*q + 2*q**2 + 6*q - 8*q.
2*(q - 1)**2
Let d(z) be the second derivative of -1/54*z**4 + 161*z + 20/9*z**3 - 100*z**2 + 0. Let d(u) = 0. What is u?
30
Let k(m) be the first derivative of -2/3*m**3 + 115 + 20*m - 9*m**2. Let k(j) = 0. What is j?
-10, 1
Let c = -1739/728 + 1921/728. Factor -1/4*j - 1/4*j**2 + c*j**3 + 1/4.
(j - 1)**2*(j + 1)/4
Let a = -342 - -307. Let v be 715/121 + -6 - a/22. Factor -v*i + 0 - 6*i**2 - 9*i**4 + 33/2*i**3.
-3*i*(i - 1)**2*(6*i + 1)/2
Suppose 101 - 339 = -122*x + 3*x. Find q, given that 8/25 + 26/25*q**4 - 34/25*q**x + 48/25*q - 48/25*q**3 = 0.
-1, -2/13, 1, 2
Let i(x) = -x + 8. Suppose 17*c = 8*c + 54. Let j be i(c). Solve 2 - 37*l**2 + 12*l**3 - 2 + 40*l**j = 0.
-1/4, 0
Let f(v) = -3*v**2 - 393*v - 864. Let q(y) = y**2 + 198*y + 432. Let i(m) = -4*f(m) - 9*q(m). Determine w so that i(w) = 0.
-2, 72
Solve -35*j**3 + 76*j**2 + 3638*j - 3578*j - 25*j**4 + 64*j**2 = 0.
-3, -2/5, 0, 2
Let l(r) be the third derivative of -1/34*r**5 - 25/68*r**4 + 0 - 125/51*r**3 + r**2 - 51*r - 1/1020*r**6. Suppose l(z) = 0. Calculate z.
-5
Let h be (-192)/56*(-133)/513. Let 2/9*f**4 - h*f + 10/9 + 8/9*f**3 - 4/3*f**2 = 0. What is f?
-5, -1, 1
Let p(u) be the first derivative of -70/3*u**2 + 14/3*u**4 - 100 - 26/9*u**3 - 16*u - 2/3*u**5. What is t in p(t) = 0?
-1, -2/5, 3, 4
Let r be 426/(-710) + 6/10. Let c(k) be the third derivative of -1/450*k**5 + 0*k - 1/450*k**6 + 15*k**2 + r + 1/45*k**3 + 1/90*k**4. Find p such that c(p) = 0.
-1, -1/2, 1
Let a(b) = 3*b**3. Let w(c) = 11*c**3 + 60*c**2 + 235*c + 300. Let h(k) = 2*a(k) - w(k). Solve h(u) = 0 for u.
-5, -4, -3
Let j(a) be the third derivative of a**5/105 + 76*a**4/21 - 102*a**3/7 + 2*a**2 + 384*a. Let j(p) = 0. What is p?
-153, 1
Factor 1/3*y**3 + 137/3*y**2 + 0 + 90*y.
y*(y + 2)*(y + 135)/3
Let l(q) be the first derivative of -28*q**6/15 + 106*q**5/25 + 59*q**4/5 - 88*q**3/15 - 18*q**2 - 18*q/5 - 12443. Suppose l(n) = 0. What is n?
-1, -3/28, 1, 3
Let m = 260549 - 521095/2. Factor 15*t**2 - 48*t - m*t**3 + 48.
-3*(t - 4)**2*(t - 2)/2
Suppose 0 - 2/3*x**3 - 158/3*x**2 - 52*x = 0. What is x?
-78, -1, 0
Factor -2/15*j**3 + 2*j**2 - 1694/15 + 22/5*j.
-2*(j - 11)**2*(j + 7)/15
Suppose 4*k - 1047 = 297. Suppose k = 7*s + s. Factor 39*q**2 + 5*q - 5*q + 2*q - s*q**2.
-q*(3*q - 2)
Let y(a) be the third derivative of -14*a**2 + 0 + 23/120*a**6 + 0*a + 4*a**3 - 31/12*a**4 + 17/60*a**5 - 1/105*a**7. Find r such that y(r) = 0.
-2, 1/2, 1, 12
Let z = 249771 + -249767. What is u in 32/3*u + 1/3*u**z + 16/3 + 8*u**2 + 8/3*u**3 = 0?
-2
Let z(k) be the second derivative of k**7/3780 + k**6/540 - k**5/540 - k**4/36 - 61*k**3/6 - 2*k - 5. Let t(r) be the second derivative of z(r). Factor t(y).
2*(y - 1)*(y + 1)*(y + 3)/9
Let x(a) = a**3 + 3*a**2. Let q = 118 + -139. Let z(h) = -4*h**3 - 9*h**2 - h. Let m(p) = q*x(p) - 6*z(p). Let m(o) = 0. Calculate o.
0, 1, 2
Find t, given that 0 - 2/3*t**4 + 80/3*t + 34/3*t**3 + 116/3*t**2 = 0.
-2, -1, 0, 20
Suppose 0 - 32/3*v - 10*v**3 + 21*v**2 - 1/3*v**4 = 0. What is v?
-32, 0, 1
Factor 128*d**3 - 2*d**5 - 41 - 251*d**2 + 6 - 24*d**2 - 39*d**4 + 138*d + 12*d**4 + 73*d**2.
-(d - 1)**4*(2*d + 35)
Let p(f) = 12552*f**3 + 18735*f**2 + 5295*f + 399. Let t(q) = 787*q**3 + 1171*q**2 + 331*q + 25. Let a(m) = -2*p(m) + 33*t(m). Factor a(h).
3*(h + 1)*(17*h + 3)**2
Suppose -24*f + 9*f + 57645 = 0. Factor -7682*t**3 - 4*t**2 + 2*t**4 - 2*t + 3843*t**3 + f*t**3 + 2 - 2*t**5.
-2*(t - 1)**3*(t + 1)**2
Factor -273780 - 4/5*o**2 + 936*o.
-4*(o - 585)**2/5
Factor 43/3*i**3 - 8 - 98/3*i - 31/3*i**2.
(i - 2)*(i + 1)*(43*i + 12)/3
Let f = -454523/15 + 90913/3. Solve 8/5*c - 8/5 - 6/5*c**4 + f*c**2 - 8/5*c**3 = 0.
-2, -1, 2/3, 1
Let q be (-46)/(-56) - (17 + 134/(-8)). Let w(m) be the first derivative of -33/14*m**2 - 41 - 18/7*m - q*m**3 + 3/28*m**4. Determine i, given that w(i) = 0.
-1, 6
Let r be (-2)/(-5) - (-792)/270. Let u be (-2 + (-100)/(-45))*3. Factor u*a**3 - 2/3*a + 10/3*a**2 - r.
2*(a - 1)*(a + 1)*(a + 5)/3
What is c in 12/5*c**2 + 544 - 4088/5*c = 0?
2/3, 340
Let r(a) = -5*a**2 + 38*a + 19. Let c = 441 - 433. Let h be r(c). Factor -8*x + 32 - 1/2*x**4 - 11/2*x**h - 18*x**2.
-(x - 1)*(x + 4)**3/2
Let m = 13 + -52. Let 