 = 91952 - 452392/5. Let k = l + -1468. Suppose 28/5*j + 8/5 - k*j**3 + 12/5*j**2 - 4*j**4 = 0. What is j?
-1, -2/5, 1
Let y be (-42)/70*2/(-6). Determine d so that -1/5 + 2/5*d**2 + y*d - 2/5*d**3 - 1/5*d**4 + 1/5*d**5 = 0.
-1, 1
Let l(d) = 8*d**3 + 14*d**2 + 25*d + 3. Suppose 2*c + 6*c = 40. Let t(f) = 3*f - f + f - 2*f - 1 + f**3. Let s(z) = c*t(z) - l(z). Factor s(q).
-(q + 2)**2*(3*q + 2)
Let l(b) be the third derivative of b**5/420 + 3*b**4/56 + 3*b**3/7 + 3*b**2 + 13. What is m in l(m) = 0?
-6, -3
Factor -1/9*f**3 - 8/9*f**2 - 5/9*f + 50/9.
-(f - 2)*(f + 5)**2/9
Factor 0 - 1/5*s**4 + 0*s + 1/5*s**5 + 0*s**2 + 0*s**3.
s**4*(s - 1)/5
Let t(n) be the first derivative of -2*n**5/5 - n**4 + 6*n**3 + 2*n**2 - 16*n + 281. Find i, given that t(i) = 0.
-4, -1, 1, 2
Let p(o) = -8*o**4 - 13*o**3 + 10*o**2 + 6*o - 23. Let u(q) = 7*q**4 + 12*q**3 - 11*q**2 - 6*q + 22. Let c(k) = 6*p(k) + 7*u(k). Let c(i) = 0. Calculate i.
-8, -1, 1, 2
Let q(d) be the second derivative of -3*d**5/2 + 111*d**4/4 - 9*d**3/2 - 33*d**2 + 180*d. Determine t so that q(t) = 0.
-2/5, 1/2, 11
Factor -8 + 8/7*z + 18/7*z**2.
2*(z + 2)*(9*z - 14)/7
Let j(o) be the second derivative of 5*o**7/168 + 47*o**6/120 + 8*o**5/5 + 11*o**4/12 - 20*o**3/3 - 8*o**2 - 130*o. Suppose j(f) = 0. Calculate f.
-4, -2, -2/5, 1
Let g(m) = -m**3 - m**2 - 1. Let q(h) = -3*h. Let u be q(-2). Let b(j) = -6 + u*j**2 + 0*j**2 - 2*j**2 - 9*j**3 - j. Let n(s) = b(s) - 4*g(s). Factor n(a).
-(a - 1)**2*(5*a + 2)
Factor -201*x - 13467/2 - 3/2*x**2.
-3*(x + 67)**2/2
Let p(l) be the third derivative of l**7/42 + l**6/6 + l**5/4 - 269*l**2. Factor p(d).
5*d**2*(d + 1)*(d + 3)
Let p = -5723/3 + 1909. Factor 2/3*u**5 + 2/3 - 2*u**4 - 2*u + p*u**2 + 4/3*u**3.
2*(u - 1)**4*(u + 1)/3
Factor -i**5 - 9*i**2 + 7*i**3 - 18*i**3 + 19*i**4 + 5*i**5 - 7*i**3 + 4*i**5.
i**2*(i - 1)*(i + 3)*(8*i + 3)
Let u(r) be the first derivative of -3*r**5/5 - 15*r**4 - 134*r**3 - 510*r**2 - 675*r + 337. Factor u(c).
-3*(c + 1)*(c + 5)**2*(c + 9)
Let f(h) be the second derivative of h**8/6720 - h**7/2520 - h**6/360 - 19*h**4/12 + 22*h. Let b(k) be the third derivative of f(k). Factor b(s).
s*(s - 2)*(s + 1)
Let d(w) be the second derivative of 0*w**2 - 1/35*w**5 + 8/21*w**3 + 0 + 21*w + 0*w**4. Determine j, given that d(j) = 0.
-2, 0, 2
Let q(a) be the first derivative of a**6/2160 - a**5/180 + a**4/48 - 7*a**3 - 17. Let u(x) be the third derivative of q(x). Let u(r) = 0. Calculate r.
1, 3
Factor h**5 + 3484*h**2 - 8*h**4 + 3*h**3 - 3482*h**2 - 3*h**5 + 5*h**5.
h**2*(h - 2)*(h - 1)*(3*h + 1)
Find n such that 22*n**3 + 88/3*n**2 + 2/3*n**5 + 20/3*n**4 + 0 + 40/3*n = 0.
-5, -2, -1, 0
Factor 208/3*g + 5*g**3 - 28*g**2 - 1/3*g**4 - 64.
-(g - 4)**3*(g - 3)/3
Let s(k) be the first derivative of -2/55*k**5 + 0*k**2 + 0*k**4 + 32 - 2/11*k + 4/33*k**3. What is u in s(u) = 0?
-1, 1
Let g(n) be the first derivative of -169*n**5/25 + 273*n**4/10 - 649*n**3/15 + 168*n**2/5 - 64*n/5 + 22. Factor g(z).
-(z - 1)**2*(13*z - 8)**2/5
Suppose -5*u = 170 - 175. Let x be 14/6 + u + 0 + -3. Factor -4/3*p - x*p**2 - 4/3.
-(p + 2)**2/3
Suppose 5*a + r = 165, 8*a = 11*a - r - 99. Suppose 35*n - 4 = a*n. Determine i, given that 30/17*i**3 + 0*i - 14/17*i**4 - 18/17*i**n + 2/17*i**5 + 0 = 0.
0, 1, 3
Let b = 128 + -125. Let 2506*y**2 + y**4 + 1 - 2504*y**2 - 1 + 3*y**b = 0. What is y?
-2, -1, 0
Suppose 9*k - 1193 - 76 = 0. Let d = 146 - k. Factor 3/2*h**4 + 3/8*h**d + 27/8*h - 3/4*h**3 + 0 - 9/2*h**2.
3*h*(h - 1)**2*(h + 3)**2/8
Let k(v) be the second derivative of -v**7/252 + v**6/36 + v**5/20 + 430*v. Solve k(g) = 0 for g.
-1, 0, 6
Solve 77760*t + 233*t**2 + 1655820 + 477*t**2 - 855107 + 1065527 + 5*t**3 + 370*t**2 = 0 for t.
-72
Suppose 4*a - 10 = -5*b, -b = 2*a - 0*a - 2. Suppose 3 + 8 + 1 + 4*t**b - 16*t = 0. What is t?
1, 3
Let x(p) be the second derivative of 1/84*p**4 - 9*p + 0 - 1/7*p**2 - 1/42*p**3. Find d, given that x(d) = 0.
-1, 2
Let l(v) be the first derivative of 2 + 7/2*v**3 + 9/10*v**5 + 0*v - 3/2*v**2 - 3*v**4. Factor l(h).
3*h*(h - 1)**2*(3*h - 2)/2
Let p(h) = 5*h**2 + 13*h - 18. Let t(c) = -3*c. Let a be t(1). Let w(b) = -5*b**2 - 12*b + 17. Let l(i) = a*p(i) - 2*w(i). Factor l(x).
-5*(x - 1)*(x + 4)
Let g(k) be the first derivative of -48*k**5/65 - 101*k**4/26 - 14*k**3/3 - 11*k**2/13 + 6*k/13 + 197. Determine x so that g(x) = 0.
-3, -1, -1/3, 1/8
Let y(p) be the first derivative of -2 - 1/3*p + 0*p**2 + 1/9*p**3. Factor y(q).
(q - 1)*(q + 1)/3
What is p in 10/11*p**3 - 26/11*p**2 + 12/11*p**4 + 4/11*p + 0 = 0?
-2, 0, 1/6, 1
Let g be (36/21 - 0) + 2/7. Factor 44*q**g - q**4 + 3 - 47*q**2 - q**3 + q - 1 + 2*q**4.
(q - 2)*(q - 1)*(q + 1)**2
Let j = -5 - 3. Let n be j/(-12) + 4/3. Determine y so that -2*y**2 - 3 + n*y**3 + 3 = 0.
0, 1
Let -62*h + 2*h**2 + 159*h - 506 + 762 + 161*h = 0. What is h?
-128, -1
Let w(a) be the third derivative of -a**2 - 1/60*a**6 - 1/168*a**8 - 1/10*a**5 + 1/6*a**4 + 1/35*a**7 + 0*a + 0*a**3 + 0. Let w(o) = 0. Calculate o.
-1, 0, 1, 2
Suppose 46*b - 2*i = 51*b - 26, i + 9 = 3*b. Let w(g) be the first derivative of 1/32*g**b - 1/8*g**2 + 6 + 0*g + 1/24*g**3. Suppose w(k) = 0. What is k?
-2, 0, 1
Let v(x) be the first derivative of -3*x**5/20 - 9*x**4/4 + 24*x**3 - 78*x**2 + 108*x - 234. Factor v(f).
-3*(f - 2)**3*(f + 18)/4
Let u(r) = r**3 - 7*r**2 + 6*r + 2. Let i be u(6). Suppose -26*z + 8 = -70. What is p in -4*p**i - p**z - p**3 - p - p = 0?
-1, 0
Let m(i) be the second derivative of -i**5/10 - 11*i**4/6 - 28*i**3/3 + 86*i - 2. Factor m(l).
-2*l*(l + 4)*(l + 7)
Let b = 10 + -8. Suppose 5*o - b = 8. Suppose -4*f + f**3 - 3*f - o*f**2 + 2*f + 4*f + 2 = 0. What is f?
-1, 1, 2
Let h be (-5)/(-2)*(-126)/(-105). Let c(v) be the third derivative of 1/12*v**3 - 1/16*v**4 + 1/40*v**5 - h*v**2 + 0 + 0*v - 1/240*v**6. Factor c(k).
-(k - 1)**3/2
Let i(h) = 3*h + 18. Let b be i(-6). Solve 1/2*s**2 + b*s + 0 - 1/8*s**3 = 0 for s.
0, 4
Let c = 1561/24 + -65. Let q(r) be the second derivative of 0*r**2 + r - 1/9*r**4 - 1/180*r**6 - c*r**5 - 1/9*r**3 + 0. Factor q(o).
-o*(o + 1)*(o + 2)**2/6
Let m = -19260 + 19262. Solve -2/5 - 1/5*a**m - 3/5*a = 0 for a.
-2, -1
Suppose -3*o = -2*x - 3*x + 29, -2*o = -4*x + 22. Let z(q) be the third derivative of 1/30*q**5 - 5*q**2 + 0*q**3 + 0*q + 0*q**x + 0. Factor z(b).
2*b**2
Let y(l) = 7*l**2 - 3*l - 8 - 9*l + l + 9*l**3. Let n(v) = 28*v**3 + 20*v**2 - 34*v - 24. Let o(p) = -6*n(p) + 20*y(p). Factor o(t).
4*(t - 1)*(t + 2)*(3*t + 2)
Let i(z) be the third derivative of 125/18*z**3 - 11/9*z**5 - 1025/144*z**4 - 1/16*z**6 + 21*z**2 + 0*z + 0. Factor i(n).
-5*(n + 5)**2*(9*n - 2)/6
Suppose -2*y - 4*x = 0, 47 - 45 = 3*y + 4*x. Factor 8*i**y - 52/9*i + 8/9.
4*(2*i - 1)*(9*i - 2)/9
Suppose -5*u + 2*h + 109 = 0, 2*h = 4*u - 63 - 23. Suppose -3 = 4*n - u. Find a, given that 3/4*a**4 - 1/4 + 3/4*a - 1/2*a**2 - 1/2*a**3 - 1/4*a**n = 0.
-1, 1
Determine p so that 2*p + 2/7*p**3 - 10/7*p**2 - 6/7 = 0.
1, 3
Let p(f) = f**4 + f**3 - 11*f**2 - 21*f - 14. Let r(x) = x**4 + x**3 - x**2 - x + 1. Let b = -8 + 9. Let c(l) = b*p(l) + 4*r(l). Let c(g) = 0. What is g?
-1, 2
Suppose 4*a - 8 = -2*n, 5*n + 9*a + 8 = 13*a. Suppose 1/5*u**5 + 0*u + 0*u**4 - 1/5*u**3 + 0 + n*u**2 = 0. Calculate u.
-1, 0, 1
Let m(l) be the first derivative of 1/14*l**4 + 0*l**2 + 0*l**3 - 4/35*l**5 + 0*l - 8 + 1/21*l**6. Factor m(i).
2*i**3*(i - 1)**2/7
Let m(l) = -9*l. Let p(c) = c**2 + 58*c. Let h(n) = -4*m(n) - 4*p(n). Factor h(g).
-4*g*(g + 49)
Let y(a) be the third derivative of 0 + 1/8*a**4 + 0*a**5 - 1/3*a**3 - 15*a**2 + 0*a - 1/120*a**6. Suppose y(q) = 0. Calculate q.
-2, 1
Let u(m) be the third derivative of -1/72*m**4 + 0 - 1/9*m**3 + 0*m + 8*m**2 + 1/90*m**5 + 1/360*m**6. Factor u(x).
(x - 1)*(x + 1)*(x + 2)/3
Let y = -13 + 15. Suppose 22 = -y*d + 13*d. Find b, given that -1/4*b**5 - 1/2*b**4 + 0 + 1/4*b**3 + 1/2*b**d + 0*b = 0.
-2, -1, 0, 1
Let n(y) = 189*y**2 + 702*y + 504. Let i(t) = -46*t**2 - 175*t - 126. Let a(g) = 21*i(g) + 5*n(g). Determine p so that a(p) = 0.
-7, -6/7
Let j be (6 - 9) + (-132)/(-20). Find w such that -j*w + 18/5*w**3 - 8/5*w**4 + 4/5 + 4/5*w**2 = 0.
-1, 1/4, 1, 2
Suppose 8 = 3*k + a, 23 + 1 = 3*k - 3*a. Let g be 27/12 - (-3)/k. Factor -40*b - 7*b**g - 7*b**3 + 6*b**2 + 6*b**2 + 24*b**2 + 2*b**4 + 16.
2