**4 = 0. Calculate o.
-1, -2/7, 1/2, 5
Let a = -50 - -48. Let z be (1 + 0)/(-2)*(2 + a). Factor z*h + 1/2*h**3 + 1/4*h**2 + 1/4*h**4 + 0.
h**2*(h + 1)**2/4
Solve 6*a**3 - 1/4*a**5 + 7/4*a**4 + 0*a - 45*a**2 + 0 = 0.
-5, 0, 6
Let h be (-195)/(-140) + (-3)/(-4) + 42/49. Factor -7/3*j**2 + 2/3*j**h + 0 + 4/3*j + 1/3*j**4.
j*(j - 1)**2*(j + 4)/3
Let -18/5*w + 2/5*w**3 - 16/5*w**2 + 0 = 0. Calculate w.
-1, 0, 9
Suppose 6*h = -0*h + 18. Find b, given that -5*b**h + b**3 + 0 + 0 = 0.
0
Let m(r) be the first derivative of -r**3 - 75*r**2/2 + 278. Find n such that m(n) = 0.
-25, 0
What is f in 2 - 8*f + 6*f**2 + 5*f**2 - 3*f**2 = 0?
1/2
Let f(a) = -4*a**2 - 5*a + 5. Let j be f(2). Let o = j - -26. Factor 5*y + 4*y**3 - 4*y + 0*y - o*y**3.
-y*(y - 1)*(y + 1)
Let n = -95 + 92. Let v be (n - (0 - 5))/(2/3). Factor 0 - 2/5*d**v + 0*d - 4/5*d**2 + 2/5*d**4.
2*d**2*(d - 2)*(d + 1)/5
Let j(x) = -15*x**3 + 247*x**2 - 594*x + 390. Let w(r) = 10*r**3 - 165*r**2 + 395*r - 260. Let z(k) = 5*j(k) + 7*w(k). Factor z(q).
-5*(q - 13)*(q - 2)*(q - 1)
Let k(s) be the second derivative of 4*s**5/35 - 17*s**4/7 - 32*s**3/21 + 78*s**2/7 + 727*s. Factor k(n).
4*(n - 13)*(n + 1)*(4*n - 3)/7
Suppose -96 = -4*v - t + 5*t, -v = 4*t - 14. Let x be ((-9)/5)/(-3) + v/130. Find a, given that 2/13*a**3 + 14/13*a - 6/13 - x*a**2 = 0.
1, 3
Let b = 2/4638753 - 698907190/4031076357. Let t = 2/237 - b. Factor t*o**3 + 2/11*o**4 + 0*o + 0*o**2 + 0.
2*o**3*(o + 1)/11
Let i = 15/43 + 41/129. Let t(z) be the first derivative of -2 - 3*z**2 - i*z**3 - 4*z. Factor t(r).
-2*(r + 1)*(r + 2)
Let b(l) be the first derivative of 2*l**5/25 - 33*l**4/20 - 19*l**3/15 + 33*l**2/10 + 17*l/5 - 100. Let b(n) = 0. Calculate n.
-1, -1/2, 1, 17
Let h be (10/3)/(((-21)/(-35))/((-66)/(-275))). Factor 0*v**3 - 2/3*v + 0 - 4/3*v**4 + h*v**2 + 2/3*v**5.
2*v*(v - 1)**3*(v + 1)/3
Let t be 5/7*(-3906)/(-1860). What is v in -t*v**4 + 9/2*v**2 + 3*v**3 + 0*v + 0 = 0?
-1, 0, 3
Let r(h) be the second derivative of -5*h**4/12 - 70*h**3/3 - 130*h**2 - 2*h - 119. Determine p, given that r(p) = 0.
-26, -2
Let n = -64 + 64. Let j(s) be the first derivative of -2 + n*s + 2/5*s**5 + 0*s**2 + 0*s**3 + 0*s**4 + 1/3*s**6. Suppose j(v) = 0. Calculate v.
-1, 0
Let i(v) = -v**2 + 5*v + 2. Let c be i(5). Suppose -1411*k = -1395*k. Factor k - 5/3*g**c - 10/3*g.
-5*g*(g + 2)/3
Let r(d) = d**3 + 5*d**2 + 4*d + 2. Let u be r(-4). Let g be (24 - (-1904)/(-80))/(1/36). Determine x so that -3/5*x**u - 6/5 + g*x**3 - 27/5*x = 0.
-2/3, -1/4, 1
Let o be 2/7 + 36/21 + 7 + -9. Let v = 762 + -3033/4. What is j in o - 3/4*j**2 + 3/4*j - 9/4*j**4 - v*j**3 = 0?
-1, 0, 1/3
Determine o, given that 34*o + 1/4*o**2 + 0 = 0.
-136, 0
Let t(y) = -2*y - 2. Let c be t(-2). Find k, given that -3*k**c + 4*k**3 - 8*k**3 + 0*k**2 + 7*k**3 = 0.
0, 1
Let w = 2458 + -17203/7. What is n in w*n - 3/7*n**3 + 1/7*n**2 + 0 - 1/7*n**4 = 0?
-3, -1, 0, 1
Let p(n) be the first derivative of 12*n**5/5 + 9*n**4 - 23*n**3 - 45*n**2 - 24*n + 28. Determine j, given that p(j) = 0.
-4, -1/2, 2
Let l(q) be the third derivative of -q**5/690 + 5*q**4/69 - 29*q**2 + 3*q. Suppose l(a) = 0. Calculate a.
0, 20
Let d(m) = m**4 + 2*m**3 + m**2 - 3*m - 1. Let j(r) = -7*r**4 - 22*r**3 - 38*r**2 - 14*r + 6. Let y(o) = 6*d(o) + j(o). Factor y(n).
-n*(n + 2)*(n + 4)**2
Let z(t) be the second derivative of -5*t**4/3 + 254*t**3/3 - 100*t**2 + 346*t. Factor z(y).
-4*(y - 25)*(5*y - 2)
Let g(a) be the third derivative of a**6/72 - 19*a**5/18 + 175*a**4/18 - 340*a**3/9 - a**2 + 26. Solve g(k) = 0 for k.
2, 34
Let s = 1280 + -1276. Let o = -4 - -8. Factor 0*z**2 - 2*z**3 + 0 + s*z**2 - o + 2*z.
-2*(z - 2)*(z - 1)*(z + 1)
Let g = -1685 + 1685. Let 12/7*y**3 + 0 + g*y + 8/7*y**2 + 4/7*y**4 = 0. Calculate y.
-2, -1, 0
Let j(h) = -h - 1. Let z(w) = 2*w**2 - w + 9. Let b = 32 + -31. Let f(v) = b*z(v) + 5*j(v). Factor f(g).
2*(g - 2)*(g - 1)
Let k = 49 - -32. Find r, given that k + 30*r - 8*r**2 + 11*r**2 - 6 = 0.
-5
Let a = -214 + 214. Suppose a = 5*u + 27 - 2, 24 = 3*c - 3*u. Determine f so that 0*f**c + 0*f + 2/7*f**2 + 0 - 2/7*f**4 = 0.
-1, 0, 1
Let s be 4/18*6 + 190/(-165). Let m be (-5 - 215/(-33)) + (-12)/9. Determine b so that 0 + 2/11*b - m*b**3 + 2/11*b**4 - s*b**2 = 0.
-1, 0, 1
Let b be 6/(-24) + (-63)/(-12). Suppose 3 = -b*j + 13. Factor -6 - 10*h - 4*h**2 - 6*h**j + 7*h**2 + h.
-3*(h + 1)*(h + 2)
Factor -2/11*d**2 - 54/11 - 24/11*d.
-2*(d + 3)*(d + 9)/11
Let q(x) be the second derivative of -x**5/150 - x**4/20 - 2*x**3/15 - x**2/2 + 12*x. Let t(k) be the first derivative of q(k). Solve t(n) = 0 for n.
-2, -1
Factor -1800*g - 3/2*g**3 - 90*g**2 - 12000.
-3*(g + 20)**3/2
Let s(c) = 10*c**5 + 26*c**4 - 78*c**3 - 56*c**2 + 26*c - 6. Let d(h) = -h**3 - h - 1. Let m(o) = 6*d(o) - s(o). Suppose m(i) = 0. What is i?
-4, -1, 0, 2/5, 2
Suppose -5*u + 2*z + 13 - 54 = 0, 5*u - z = -43. Let s be -4 + 1/((-2)/u). Factor -s*n**2 + 0*n + 1/2.
-(n - 1)*(n + 1)/2
Let s = 11 - 10. Suppose s = -z + 3. Factor -4*t + 18*t**z - t**3 + 0*t - 13*t**3.
-2*t*(t - 1)*(7*t - 2)
Let p(l) be the second derivative of -l**7/252 + l**5/30 + 2*l - 34. Find k such that p(k) = 0.
-2, 0, 2
Let s(b) = -10*b**3 - 2*b**2 + 2*b - 24. Let g(y) = -y**3 - y + 1. Let p(i) = 6*g(i) - s(i). Let o(r) be the first derivative of p(r). Solve o(m) = 0 for m.
-1, 2/3
Solve 20/7*t**5 - 408/7*t**3 - 88/7*t**4 - 24 + 388/7*t + 256/7*t**2 = 0 for t.
-3, -1, 2/5, 1, 7
Let h(r) be the second derivative of -5/36*r**4 + 5/126*r**7 - 1/12*r**5 + 0*r**2 + 0 - 15*r + 1/18*r**6 + 0*r**3. Let h(y) = 0. What is y?
-1, 0, 1
Let h(v) be the third derivative of -19*v**2 + 7/96*v**4 - 1/3*v**3 + 1/240*v**5 + 0*v + 0. Factor h(a).
(a - 1)*(a + 8)/4
Let y(n) be the second derivative of -n**6/90 - 2*n**5/15 + 11*n**4/36 + n**3 - 372*n. Determine i so that y(i) = 0.
-9, -1, 0, 2
Determine y, given that 5/2*y - 3 + 1/2*y**2 = 0.
-6, 1
Let i(a) be the second derivative of a**4/4 - 22*a**3 + 126*a**2 + 6*a - 8. Solve i(r) = 0 for r.
2, 42
Suppose 6*n = 16*n. Let l be 14/28*n/(-1). Suppose -72/5*w**2 + 64/5*w - 16/5 + 27/5*w**4 + l*w**3 = 0. Calculate w.
-2, 2/3
Let f(w) be the second derivative of -2/35*w**6 + 0 + 2/7*w**3 + 0*w**2 + 1/7*w**4 - 3/20*w**5 + 3/98*w**7 + 6*w. Solve f(r) = 0.
-1, -2/3, 0, 1, 2
Find c, given that -3*c**2 + 2 + c**3 - 603*c + 303*c + 299*c + c**4 = 0.
-2, -1, 1
Factor -2*j**2 - 4/7*j**3 - 8/7*j + 2/7*j**4 + 0.
2*j*(j - 4)*(j + 1)**2/7
Factor -146*l + 116*l**2 - 168*l + 2*l**4 - 4*l**4 + 34*l**3 + 394*l.
-2*l*(l - 20)*(l + 1)*(l + 2)
Let i be 6/(-24) - (-39)/12. Factor -1715*z + z**4 - 39*z**3 - 10*z**3 + 4*z**4 + 735*z**2 - 56*z**i.
5*z*(z - 7)**3
Find s such that -8*s - 24/7 - 4/7*s**3 - 38/7*s**2 + 2/7*s**4 = 0.
-2, -1, 6
Factor -27/2*v**2 + 1/4*v**3 + 243*v - 1458.
(v - 18)**3/4
Let b(d) be the first derivative of d**6/2 - 21*d**5/5 + 39*d**4/4 + 3*d**3 - 27*d**2 - 130. Determine u so that b(u) = 0.
-1, 0, 2, 3
Let y(c) be the first derivative of 0*c**2 + 2 + 0*c**5 + 0*c**4 + 5/3*c**3 + 0*c - 1/540*c**6. Let n(f) be the third derivative of y(f). Factor n(o).
-2*o**2/3
Let 3/5*t**4 - 3/5*t**2 - 6/5*t**3 + 0 + 6/5*t = 0. Calculate t.
-1, 0, 1, 2
Suppose 0 - 2/11*a**4 + 72/11*a**3 + 0*a + 0*a**2 = 0. Calculate a.
0, 36
Suppose 2*q + 6*s = -q - 9, -8 = -4*q - 3*s. Let a(f) be the third derivative of -8*f**2 - 1/16*f**4 - 1/320*f**6 - 1/40*f**q + 0*f + 0*f**3 + 0. Factor a(j).
-3*j*(j + 2)**2/8
Determine j, given that -4/5*j - 2/5*j**4 + 4/5*j**3 + 2/5 + 0*j**2 = 0.
-1, 1
Let b be 2 + (0 + 0)/1. Suppose 0*x - 14 = -b*x + 2*c, -17 = -3*x + 2*c. Determine h so that -h**5 - 7*h**3 + 16*h**3 + h**4 - 9*h**x = 0.
0, 1
Suppose -n - 6*b + b = 23, -2*b = 10. Factor -n*j**3 - 5 + 11 - 6*j - 6*j**2 - 8.
-2*(j + 1)**3
Let g(c) = -c + 1. Let k(n) = 8 - 5*n - 2 - 2 + n**2. Let q(a) = 6*g(a) - k(a). Find x such that q(x) = 0.
-2, 1
Let m(h) = 11*h**4 - 3*h**3 - 12*h**2 + 4*h - 12. Let l(i) = -10*i**4 + 2*i**3 + 12*i**2 - 4*i + 10. Let n(z) = -6*l(z) - 5*m(z). Find d such that n(d) = 0.
-2, 0, 2/5, 1
Let w(j) = -12*j**2 - 129*j - 3. Let h(a) = 19*a**2 + 258*a + 5. Let t(i) = 3*h(i) + 5*w(i). Factor t(b).
-3*b*(b - 43)
Determine a, given that 0*a**2 - 7*a + 2*a - a**2 - a**5 + a**4 + a - 2*a + 7*a**3 = 0.
-2, -1, 0, 1, 3
Let y(i) be the second derivative 