) = 19*u**2 - 35*u + 5. Let g(k) = 10*k**3 + 2*k**2 - 1. Let c be g(1). Let j(p) = 10*p**2 - 18*p + 2. Let z(i) = c*j(i) - 6*s(i). Factor z(v).
-4*(v - 2)*(v - 1)
Suppose 0 = -5*n - 15, -19 + 2 = -w + n. Let s be (w/(-63) + 26/36)*4. Factor 0*q**s + 0*q**4 + 3*q**3 - 3/2*q**5 - 3/2*q + 0.
-3*q*(q - 1)**2*(q + 1)**2/2
Let o be 5 - 0 - 16803/3366. Let j = 4527/4862 - o. Factor 14/13*c**2 + 38/13*c - j.
2*(c + 3)*(7*c - 2)/13
Let v(f) be the third derivative of -1/18*f**4 + 1/9*f**3 - 32*f**2 - 1/315*f**7 + 0 + 0*f + 1/90*f**6 + 0*f**5. Factor v(c).
-2*(c - 1)**3*(c + 1)/3
Let l(z) = -z**3 - 19*z**2 - 9*z + 165. Let g be l(-18). Factor -g*d**2 + 3/2*d**5 + 0 + 3*d**4 - 3/2*d + 0*d**3.
3*d*(d - 1)*(d + 1)**3/2
Let v(r) = -r**2 + 13*r + 23. Let g be v(15). Let x = g - -9. Find q such that 5*q**x + 1/2 - 1/2*q**5 + 5/2*q**4 - 5*q**3 - 5/2*q = 0.
1
Factor 2/9*n**4 + 0 + 4/3*n**3 - 64/9*n + 0*n**2.
2*n*(n - 2)*(n + 4)**2/9
Let r = 1079/10 - 211/2. Suppose 3 = -3*v, -5*h + 4*v + 179 - 155 = 0. Factor -2/5*i**2 + 0*i - i**5 + 0 - r*i**h - 9/5*i**3.
-i**2*(i + 1)**2*(5*i + 2)/5
Let h be (-21)/(-14)*(0 - 163/(-3)). Let l = h - 81. Factor -2*m**2 - 2*m**4 + 0 + l*m + 3*m**3 + 1/2*m**5.
m*(m - 1)**4/2
Let k(z) be the first derivative of 2*z**3/3 - 246*z**2 + 30258*z - 607. Factor k(x).
2*(x - 123)**2
Suppose 41*o**2 - 21*o**4 - 4*o**5 - 22*o**2 + 5*o**4 - 20*o**3 - 27*o**2 = 0. Calculate o.
-2, -1, 0
Let t(y) be the first derivative of -y**6/10 + 16*y**5/25 + 17*y**4/10 + 8*y**3/15 - 7*y**2/10 - 85. Let t(g) = 0. What is g?
-1, 0, 1/3, 7
Let w be 1026/(-4446) - (-119)/65. Suppose -12/5*y**4 - 4/5*y**3 + w*y**5 + 0 - 4/5*y + 12/5*y**2 = 0. What is y?
-1, 0, 1/2, 1
Let q(r) be the first derivative of r**6/60 - r**5/8 + r**4/6 + r**3/4 + 9*r**2/2 + 8. Let c(y) be the second derivative of q(y). Factor c(f).
(f - 3)*(f - 1)*(4*f + 1)/2
Let x be -7 + -7 + 23528/1680. Let g(y) be the third derivative of y**2 + 0*y + 0*y**3 - 1/28*y**4 + 0 + x*y**5. Find u, given that g(u) = 0.
0, 3
Let b(o) be the third derivative of -4*o**5/135 - 449*o**4/54 - 224*o**3/27 + 161*o**2. Factor b(a).
-4*(a + 112)*(4*a + 1)/9
Factor 116754 - 2*h**4 + 242*h**3 - 62*h**3 - 116928 + 524*h - 528*h**2.
-2*(h - 87)*(h - 1)**3
Suppose -307 = -2*b + 5*g, g = -3*b + 167 + 251. Suppose 0 = 4*h - 119 - b. Let h*u**5 - u**2 + 4*u**4 - 67*u**5 - 3*u**2 + 2*u = 0. What is u?
-1, 0, 1
Let h(i) = 5*i**3 - 3*i**2 + 3*i. Let u(g) = -29*g**3 + 17*g**2 - 17*g. Let v(m) = m**2 + 4*m - 6. Let j be v(-6). Let k(y) = j*u(y) + 34*h(y). Factor k(s).
-4*s**3
Find y such that -1/5*y**2 + 18/5 + 17/5*y = 0.
-1, 18
Suppose 4*h = o + 2*h - 8, 2*h - 2 = -4*o. Let -9*g**4 - o*g**5 + 9*g**4 + 2*g**3 = 0. Calculate g.
-1, 0, 1
Let i(u) be the second derivative of -u**7/42 + u**6/8 - u**5/4 + 5*u**4/24 + 19*u**2/2 + 12*u. Let w(v) be the first derivative of i(v). Factor w(a).
-5*a*(a - 1)**3
Let k(h) = -h**2 - 8*h - 11. Let n be k(-5). Suppose 5 + 3 = n*p. Let -2*i**3 - 4*i - i**2 - 9*i**2 + 4*i**p = 0. What is i?
-2, -1, 0
Let l(d) = 8*d**2 + 12*d + 10. Let s(y) = -70*y**2 - 108*y - 90. Let x(z) = -52*l(z) - 6*s(z). Factor x(q).
4*(q + 1)*(q + 5)
Let -2/7*a**2 - 84872/7 + 824/7*a = 0. Calculate a.
206
Suppose -3*k - 1 = -28. Factor 12*h**4 + 10*h**5 + 14*h**5 + k*h**4 - 3*h**3.
3*h**3*(h + 1)*(8*h - 1)
Let q(u) be the first derivative of -u**4/2 - 550*u**3 - 226875*u**2 - 41593750*u + 780. Factor q(n).
-2*(n + 275)**3
Suppose -5 + 80 = -5*c. Let o be (c/(-5) - -1) + -4. Factor 0*g**3 - 1/3*g**5 + o + 1/3*g + 2/3*g**2 - 2/3*g**4.
-g*(g - 1)*(g + 1)**3/3
Let s = -100/3 - -34. Let t = 2370 - 7108/3. Factor s*j**2 + 0 + t*j.
2*j*(j + 1)/3
Let m be (15/10)/((-2)/(-4)). What is x in 0 - 4 - 2 - 6*x + 15*x - m*x**2 = 0?
1, 2
Let v be (1 + (-6273)/(-30))/(-5 + 7). Let d = 433/4 - v. Determine w, given that -4/5*w**2 - 24/5*w - d + 2/5*w**4 + 6/5*w**3 = 0.
-2, -1, 2
Let m = -3743 - -3745. Factor 0*o + 2/13*o**3 + 0 + 6/13*o**m.
2*o**2*(o + 3)/13
Suppose 2448*j + 4 = 2450*j. Let 50/9*c**3 + 4/3*c**j - 4/9 - 14/9*c + 28/9*c**4 = 0. What is c?
-1, -2/7, 1/2
Determine z so that 14/9*z**3 - 32/9*z + 2/9*z**5 + 14/9*z**4 + 40/9 - 38/9*z**2 = 0.
-5, -2, 1
Let k(v) be the first derivative of -v**4/24 + 5*v**3/9 - 23*v**2/12 + 7*v/3 - 117. Suppose k(d) = 0. What is d?
1, 2, 7
Let f = 1125/3124 + 1/284. Factor f*b + 2/11*b**2 - 6/11.
2*(b - 1)*(b + 3)/11
Let u(t) = 2*t**2 - 587*t - 589. Let f be u(-1). Solve 19*m**4 - 28/3*m**5 + f + 2*m**2 - 35/3*m**3 + 0*m = 0 for m.
0, 2/7, 3/4, 1
Let o = 97571/8 - 12196. Determine z so that 3/4*z + 9/8 - o*z**2 = 0.
-1, 3
Let h = 60/91 - -2/273. Let j(m) be the second derivative of 0 + 2/9*m**3 + h*m**2 + 1/36*m**4 + 4*m. Factor j(i).
(i + 2)**2/3
Suppose 3*u = -5*o - 164, 2*u + 30 = -o - 0*u. Let a = 34 + o. Let a - 1/3*w**3 - 2/3*w**4 - 1/3*w**5 + 0*w**2 + 0*w = 0. Calculate w.
-1, 0
Let v(r) = -r**3 + 9*r - 4. Let y(p) = -p**2 + 2*p. Let l(a) = v(a) - 4*y(a). Let l(x) = 0. Calculate x.
-1, 1, 4
Let b(a) = -2*a**2 + 249*a - 3642. Let q(t) = 5*t**2 - 740*t + 10925. Let d(o) = 10*b(o) + 3*q(o). Factor d(r).
-5*(r - 27)**2
Let i(j) be the third derivative of -j**7/1680 - j**6/480 + j**4/4 + j**2. Let y(k) be the second derivative of i(k). Determine w so that y(w) = 0.
-1, 0
Let m(h) be the third derivative of h**6/600 + h**5/300 - 13*h**4/60 + 4*h**3/5 - 351*h**2. Determine r, given that m(r) = 0.
-6, 1, 4
Let d(n) be the third derivative of n**6/10 - 2*n**5/3 - 3*n**4/2 + 8*n**3/3 + 19*n**2. Factor d(l).
4*(l - 4)*(l + 1)*(3*l - 1)
Let a(d) be the first derivative of -7/2*d**2 - 49*d - 5 - 1/12*d**3. Suppose a(j) = 0. What is j?
-14
Let h(j) be the third derivative of -j**8/672 + j**7/84 - j**6/40 - j**5/60 + 7*j**4/48 - j**3/4 + 72*j**2. Determine l so that h(l) = 0.
-1, 1, 3
Let g be (-3)/(-2)*286/39. Factor 3 - 15*n + 1 + g*n + n**2.
(n - 2)**2
Suppose -3*k + 45 = -99. Let l = -14 + 16. Determine u, given that 3*u**3 + 24*u + 16*u**2 - k + 19*u**2 - 14*u**l = 0.
-4, 1
Let d be 49*(-5)/(-70) - 9/6. Let 8/5*a**3 + 0 + 6/5*a**d - 2/5*a = 0. Calculate a.
-1, 0, 1/4
Factor -4/7 - 20/7*b - 37/7*b**2 - 30/7*b**3 - 9/7*b**4.
-(b + 1)**2*(3*b + 2)**2/7
Let t(b) = 9*b**4 + 366*b**3 - 9*b**2 - 346*b + 4. Let l(f) = -26*f**4 - 1094*f**3 + 26*f**2 + 1039*f - 11. Let g(z) = 4*l(z) + 11*t(z). Factor g(d).
-5*d*(d - 1)*(d + 1)*(d + 70)
Let w(y) = y**4 - y**3 + 1. Let t = 102 + -104. Let u(f) = f**5 - 10*f**4 + 9*f**3 - 7. Let g(c) = t*u(c) - 14*w(c). Suppose g(s) = 0. Calculate s.
0, 1, 2
Suppose 0 = 6*u - 4*u - 12. Let a be (15/u)/((-3)/(-6)). Suppose 59*r**5 + 0*r**4 - 55*r**a - r**4 = 0. Calculate r.
0, 1/4
Suppose 16*v = 35*v. Factor -4/9*l**4 + 0 + v*l**3 + 4/9*l**2 + 0*l.
-4*l**2*(l - 1)*(l + 1)/9
Suppose -8*c = -13*c + 10. Suppose c*o = 3*y - 11, -4*y - o = -20 - 2. Find j such that j**4 + 6*j**4 - y*j**4 + 4*j**3 = 0.
-2, 0
Let i = 9/5 + 1768/15. Let k = i + -119. Suppose 4/3*z + 2/3 + k*z**2 = 0. What is z?
-1
Suppose -5*t = -4*p + 5*p - 18, 2 = -p. Solve -2/11*k**5 + 2/11*k**t - 4/11*k + 6/11*k**3 + 0 - 2/11*k**2 = 0 for k.
-1, 0, 1, 2
Let w(s) be the third derivative of -7*s**8/64 + s**7/10 + 9*s**6/32 - 7*s**5/20 + s**4/8 + 4*s**2 - 2. Determine v so that w(v) = 0.
-1, 0, 2/7, 1
Factor 482/9*y**2 + 560/9*y + 200/9 + 86/9*y**3 + 2/9*y**5 - 34/9*y**4.
2*(y - 10)**2*(y + 1)**3/9
Let r be 4 - -1 - (2 + 1). Suppose o + 3 = r*y, 3*o - y - 7 = 4. Factor -o*t**2 + 3*t + 27*t**4 - 34*t**2 + 6*t**2 - 18*t**3 + 12 + 9*t.
3*(t - 1)**2*(3*t + 2)**2
Let h(q) = -q**3 + 15*q**2 - 13*q - 8. Let a be h(14). What is f in a*f**3 - 3*f - 3 + 0*f + 3*f**2 + 2*f**3 - 5*f**3 = 0?
-1, 1
Let m(i) be the third derivative of i**7/630 + 11*i**6/360 - 2*i**5/9 + 7*i**4/18 - 22*i**2 + 5. Let m(o) = 0. Calculate o.
-14, 0, 1, 2
Let g be (-50)/15*15/(-25). Suppose -2*k - g - 4 = -4*m, -15 = -4*k - m. Factor 0 - 1/2*r**k + 0*r**2 + 0*r.
-r**3/2
Determine x, given that 13*x**2 + x**2 - 24 - 5*x**2 + 2*x**3 - 3*x**2 - 8*x = 0.
-3, -2, 2
Let g be 1/(-2)*3/(-6). Suppose 773 = -18*x + 845. Factor -g*n**2 + 0 + 1/4*n**x + 0*n + 1/4*n**5 - 1/4*n**3.
n**2*(n - 1)*(n + 1)**2/4
Let o(j) be the second derivative of -j**7/17640 + j**6/2520 + j**5/280 - j**4/3 - 13*j. Let u(t) be the third derivative of o(t). Solve u(g) = 0.
-1, 3
Let g be (-