at u + 2/7 - 1/7*u**5 - 2/7*u**4 + a*u**3 + 8/7*u**2 = 0.
-1, 2
Let v(f) be the second derivative of 0*f**2 - 8/3*f**3 + 0 - f**4 + 2/5*f**6 + 14*f + f**5 - 2/21*f**7. Find y such that v(y) = 0.
-1, 0, 1, 4
Let h = 1345 - 1341. Let p(m) be the first derivative of -8*m - m**4 - 4/5*m**5 + h*m**3 - 14 + 2*m**2. Factor p(o).
-4*(o - 1)**2*(o + 1)*(o + 2)
Let c = 16 - 8. Suppose 0 = -3*q + 5*q - c. Suppose -g**2 + 2 + 5*g**2 - q - 8*g + 6 = 0. What is g?
1
Suppose 2*q + y = 204, -4*q + 5*q - 96 = -2*y. Let a = q - 101. Find x, given that -8/5*x**2 + x**4 - 3/5*x**a + 0 + 4/5*x + 2/5*x**5 = 0.
-2, 0, 1/2, 1
Let y(h) be the second derivative of h**6/180 - h**5/20 - 7*h**4/72 - 139*h. Solve y(a) = 0.
-1, 0, 7
Let y(v) be the third derivative of -1/45*v**6 - 5/6*v**3 - 1/10*v**5 + 0*v - 3*v**2 + 0 + 1/3*v**4. Let c(q) be the first derivative of y(q). Solve c(d) = 0.
-2, 1/2
Let i(q) = 12*q**2 + 18*q + 6. Let p(s) = -s - 1. Let g(l) = 3*i(l) - 24*p(l). Let z(f) = 5*f**2 + 11*f + 6. Let d(u) = -2*g(u) + 15*z(u). Solve d(n) = 0.
-2, -1
Let x(j) = j**3 + 12*j**2 + 12*j + 10. Let a be x(-11). Let s be (10/(-15))/(a/6). Find d such that 0 + 2/3*d**5 + 8/3*d**s + 2/3*d + 8/3*d**2 + 4*d**3 = 0.
-1, 0
Let k(v) = -13*v**2 + 59*v - 131. Let n(x) = -5*x**2 + 30*x - 66. Let z(h) = -2*k(h) + 5*n(h). Factor z(y).
(y - 2)*(y + 34)
Suppose 2*n**3 - 10/3*n**2 + 0 + 6/5*n**4 + 2/15*n**5 + 0*n = 0. Calculate n.
-5, 0, 1
Factor 6*c**4 - 6*c**3 + 2*c**2 - 364*c + 364*c - 2*c**5.
-2*c**2*(c - 1)**3
Suppose 4*y + y + 310 = -4*n, -5*n + 33 = -y. Let j = 60 + y. Find v such that 0*v**3 + 4/13*v**4 - 2/13*v + 0 - 4/13*v**j + 2/13*v**5 = 0.
-1, 0, 1
Solve 2/7*u**5 - 2/7*u**3 + 6/7*u**4 + 0 - 6/7*u**2 + 0*u = 0 for u.
-3, -1, 0, 1
Solve 27 + 52 - 29 - 15*r - 5*r**2 = 0 for r.
-5, 2
Determine b, given that 5/4*b**4 - 5/4*b**3 + 5*b + 0 - 5*b**2 = 0.
-2, 0, 1, 2
Suppose -2*w = p + 8, -20*p + 4 = -18*p - w. Factor p + 0*i - 2/25*i**2.
-2*i**2/25
Suppose -2*l - 6 = -5*l. Suppose -w + 8 = 3*w - 4*u, l*w - 4 = 3*u. What is m in 41*m**w + 4 - 54*m + 2*m**4 - 5*m**2 - 10*m**3 + 23 - m**4 = 0?
1, 3
Let s = 2925 - 32151/11. Let b = 190/77 - s. Factor -1/7 - b*q - 1/7*q**2.
-(q + 1)**2/7
Let b(y) be the first derivative of -3*y**5/5 + 9*y**4/2 - 5*y**3 + 78. Factor b(i).
-3*i**2*(i - 5)*(i - 1)
Factor -3/5*z**4 + 24/5*z**2 + 0 + 0*z + 21/5*z**3.
-3*z**2*(z - 8)*(z + 1)/5
Let j(w) be the first derivative of 8/3*w + 1/18*w**3 - 34 - 2/3*w**2. Let j(n) = 0. Calculate n.
4
Suppose 8*q - 13*q = -10. Factor 163 + 917 + 77*h**2 + 540*h - 42*h**2 + 55*h**q + 5*h**3.
5*(h + 6)**3
Let g(s) = -7*s**3 - 31*s**2 - 3*s + 36. Let m(z) = 9*z**3 + 30*z**2 + 3*z - 36. Let p(a) = 6*g(a) + 5*m(a). Find q such that p(q) = 0.
-1, 1, 12
Let p = -15618/11 - -1420. Determine s so that -6/11*s + 0 - p*s**2 = 0.
-3, 0
Suppose 3 = 6*c - 9. Suppose -5 = 5*f + c*t - 10, -2*f = -3*t - 21. Factor -1/3*p**5 + 0*p**2 + 0 + 0*p**4 + 0*p**f + 0*p.
-p**5/3
Factor -25515*q**2 + 3375*q**3 + 0 - 65610*q - 395/3*q**4 + 5/3*q**5.
5*q*(q - 27)**3*(q + 2)/3
Let m be ((-63)/180 - 1)/(-13 + -2). Let b(q) be the second derivative of 3/10*q**2 - 1/20*q**4 - 2*q - 3/10*q**3 + 0 + m*q**5. Suppose b(n) = 0. Calculate n.
-1, 1/3, 1
Let a(x) = -2*x**3 + 600*x**2 - 618*x - 5. Let g(d) = -4*d**3 + 900*d**2 - 928*d - 8. Let k(q) = 8*a(q) - 5*g(q). Factor k(s).
4*s*(s - 1)*(s + 76)
Let t(a) be the third derivative of -a**5/60 + a**4/24 + 4*a**3 + 10*a**2. Let r be t(0). Determine k, given that 110 - r*k + 4*k**2 + 0 - 10 + 64*k = 0.
-5
Factor 10 - 50*t**2 + 3*t + 60*t**2 + 12*t**3 + 6*t**4 + t**5 - 10.
t*(t + 1)**3*(t + 3)
Let g(n) = -15*n**3 - 45*n**2 - 42*n + 4. Let f(m) = 78*m**3 + 225*m**2 + 210*m - 21. Let t(b) = -4*f(b) - 21*g(b). Factor t(z).
3*z*(z + 1)*(z + 14)
Suppose 3*f - m + 46 = 6*f, 3*f - 3*m = 42. Factor -12 - 3*v**2 - f + 224*v - 242*v.
-3*(v + 3)**2
Let g(p) be the third derivative of -p**7/280 - 23*p**6/480 + 37*p**5/240 + 7*p**4/96 - 3*p**3/4 - 44*p**2. Let g(t) = 0. Calculate t.
-9, -2/3, 1
Let n be 1 - ((-2)/3 - 255/(-180)). Factor 0*q**2 + 0 - 1/4*q**5 + 0*q**3 + 0*q - n*q**4.
-q**4*(q + 1)/4
Let k(g) = -4*g**2 + 192*g - 2299. Let i(b) = 4*b**2 - 192*b + 2298. Let t(a) = 5*i(a) + 6*k(a). Factor t(h).
-4*(h - 24)**2
Suppose 0 = -3*l + 9*l - 816. Factor l - 136 - 3*n**3 - 6*n**2 - 3*n.
-3*n*(n + 1)**2
Let o be (18 - 23)/(1/(-2)). Let c(t) = t**3 - 10*t**2 + 2. Let p be c(o). Factor 0*y**p + 4/3*y - 4/3*y**3 + 0.
-4*y*(y - 1)*(y + 1)/3
Let f(p) = 3*p**2 - 7*p - 23. Let w(q) = 3*q**2 - 9*q - 24. Let i(h) = -6*f(h) + 5*w(h). What is x in i(x) = 0?
-3, 2
Let s(u) be the second derivative of -u**5/20 - 2*u**4/3 + 3*u**3/2 - u - 276. Factor s(l).
-l*(l - 1)*(l + 9)
Let h(m) = m**2 + 12*m - 13. Let f be (1 + 0)/(12/15 - 1). Let n(a) = -a**2 - 18*a + 19. Let z(s) = f*n(s) - 7*h(s). Find v, given that z(v) = 0.
1, 2
Let c be (5 + -1)*(1 + 0). Suppose c*v = 16, -10 = -4*x - 5*v + 42. Factor 5*l + x - 3 + 19*l - 13 - 10*l**2.
-2*(l - 2)*(5*l - 2)
Let y(a) be the second derivative of -a**7/56 + 3*a**5/20 - a**4/8 - 3*a**3/8 + 3*a**2/4 - 41*a. Let y(m) = 0. What is m?
-2, -1, 1
Let o(g) = -11*g**4 + 10*g**3 - 27*g**2 - 80*g - 56. Let w(h) = 4*h**4 - 3*h**3 + 10*h**2 + 27*h + 19. Let c(t) = -3*o(t) - 8*w(t). What is p in c(p) = 0?
-1, 4
Let c be 2169/(-12) - (-4)/(-16). Let g = c + 187. Factor g*d + 3/4*d**2 + 12.
3*(d + 4)**2/4
Let p = 1669/5 - 333. What is d in 2/5*d**2 - 6/5 + p*d = 0?
-3, 1
Let w(a) = -2*a + 1. Let o be w(-1). Let u(k) = -2*k**3 + 9*k**2 + 4*k + 6. Let h be u(5). Factor o - 6*m**3 - 2*m - h - 5*m**2 + 10*m - 5*m.
-(m + 1)*(2*m + 1)*(3*m - 2)
Let w = -1427 + 2855/2. Let z(o) be the second derivative of 0*o**2 + 0 - w*o**4 - 1/2*o**3 - 6*o. Suppose z(p) = 0. What is p?
-1/2, 0
Suppose 5*i - 75 = 35. Let l = 4 + i. Suppose 4*a**2 + 18 - l*a - 30*a**2 - 13*a**3 + 69*a**3 - 22 = 0. What is a?
-2/7, -1/4, 1
What is s in -30*s + 4*s**2 + 60*s - 14*s + 12 = 0?
-3, -1
Let d be 98/30 - (10 + 26)/12. Solve 0*t**3 + d*t**2 + 2/15*t + 0 - 2/15*t**5 - 4/15*t**4 = 0.
-1, 0, 1
Let a = -21 - -44. Suppose -4*p = 17 + a. Let l(s) = 7*s**2 - 5*s - 7. Let b(u) = -4*u**2 + 3*u + 4. Let v(t) = p*b(t) - 6*l(t). Solve v(k) = 0.
-1, 1
Suppose -15*n - 278 = -154*n. Factor 0 + 4/17*p**3 + 0*p**4 - 2/17*p + 0*p**n - 2/17*p**5.
-2*p*(p - 1)**2*(p + 1)**2/17
Let s(u) = -u**2 - u - 13. Let r(o) = -19*o - 10*o - 2*o**2 - 40 + 25*o. Let b(a) = 3*r(a) - 8*s(a). Factor b(z).
2*(z - 4)*(z + 2)
Let z(k) be the third derivative of k**5/480 + 55*k**4/96 + 109*k**3/48 - 19*k**2. Solve z(b) = 0.
-109, -1
Find d such that -27/2*d - 28*d**2 - 5/3 - 8/3*d**3 = 0.
-10, -1/4
Let g = 2770 - 2767. Let z(c) be the first derivative of -12 + 1/4*c**5 + 0*c**2 + 0*c - 1/6*c**g + 3/16*c**4. Factor z(o).
o**2*(o + 1)*(5*o - 2)/4
Let h(b) be the first derivative of 3*b**4/4 - 16*b**3 + 231*b**2/2 - 294*b + 76. Find n, given that h(n) = 0.
2, 7
Let s(o) = 7*o**2 - o. Let f(l) = -20*l**2 + 4*l - 1. Let d = 87 - 70. Let p(c) = d*s(c) + 6*f(c). Determine m so that p(m) = 0.
1, 6
Let c = -5973 + 11947/2. Factor -1/2*b - 1/6*b**3 + 1/6 + c*b**2.
-(b - 1)**3/6
Let a(t) = 5*t**3 - 26*t**2 - 71*t - 44. Let l(g) = 5*g**3 - 24*g**2 - 69*g - 46. Let b(q) = -3*a(q) + 2*l(q). Suppose b(x) = 0. Calculate x.
-1, 8
Let b(k) = k**3 - k**2 + 4*k. Let q(v) = 6*v**3 - 5*v**2 + 8*v - 16. Let s(i) = 20*b(i) - 4*q(i). What is o in s(o) = 0?
-2, 4
Let g(f) be the third derivative of -31/72*f**4 + 0*f + 0 - 11/60*f**5 - 5/9*f**3 - 13/360*f**6 - 40*f**2 - 1/630*f**7. Factor g(s).
-(s + 1)**3*(s + 10)/3
Let i(g) = -3*g**3 + 56*g**2 - 37*g + 21. Let a be i(18). Suppose -2/7*p**2 + 4/7*p**a + 2/7*p**4 + 0 - 4/7*p = 0. What is p?
-2, -1, 0, 1
Factor 240 + 3/5*c**2 + 24*c.
3*(c + 20)**2/5
Let t(i) = -15*i**2 - 230*i + 2640. Let r(u) = 11*u**2 + 230*u - 2641. Let l(x) = 5*r(x) + 4*t(x). Find p, given that l(p) = 0.
23
Let h = 196 + -82. Let x = h - 794/7. Factor -2/7*v**2 + 0 + x*v.
-2*v*(v - 2)/7
Let u(t) = 7*t**3 - 15*t**2 + 14*t. Let d(l) = l - 5. Let f be d(0). Let j(s) = 15*s**3 - 30*s**2 + 30*s. Let r(h) = f*u(h) + 2*j(h). What is i in r(i) = 0?
0, 1, 2
Suppose 3*w = -0*w + 2*z + 4, w - 2*z = 0. Suppose 33*r**4 - 15*r - 39*r**w + 6 + 11*r**5 + r**5 + 29*r**3 - 17*r**3 - 9*r**3 = 0. What is r?
-2