 53)**2/8
Let w(u) = -u**3 - 10*u**2 - 3*u - 10. Let z be w(-10). Let t = z + -18. Let 0*o**2 + 17 + 2*o - 18 - o**t = 0. What is o?
1
Let f be (-3 + 4)/4 + (-390)/(-168). Suppose 0 - f*j**4 + 0*j**2 + 4/7*j**3 + 2*j**5 + 0*j = 0. What is j?
0, 2/7, 1
Let k = -492/5 + 3504/35. Let s = 117 + -817/7. Factor 6/7 + k*y**2 - 16/7*y - s*y**4 + 0*y**3.
-2*(y - 1)**3*(y + 3)/7
Let f be 3/4*(-32)/(-12). Suppose 5*m - 5*a - 30 = 0, m - f = -a - 0*a. Determine x, given that -m*x**2 + 2/3 - 7/3*x**3 - x = 0.
-1, 2/7
Let b(j) = -2*j + 3*j + j + 5 - 3*j. Let w be b(3). Factor 2*f**3 - 2*f**4 - f**2 - f + f**2 - f + w*f**2.
-2*f*(f - 1)**2*(f + 1)
Let j(r) be the first derivative of -r**6/600 + 3*r**5/100 - r**4/5 - 9*r**3 - 38. Let i(g) be the third derivative of j(g). Let i(z) = 0. What is z?
2, 4
Let q = -325 - -329. Let i(o) be the first derivative of 0*o - 2/9*o**3 + 0*o**2 - 5 + 1/6*o**q. Let i(j) = 0. What is j?
0, 1
Let q(s) = -7*s**5 + 5*s**4 + 9*s**3 + 7*s**2 - 5. Let c(u) = 4*u**5 - 3*u**4 - 4*u**3 - 3*u**2 + 3. Let b(v) = -5*c(v) - 3*q(v). Factor b(m).
m**2*(m - 3)*(m + 1)*(m + 2)
Let f be 4/(-4) + 7 + -4. Factor -2*c**3 + 3*c**3 - 8*c**f - 5*c**3.
-4*c**2*(c + 2)
Determine q so that 52*q**3 - 41*q**2 + 9*q**2 - 142*q**4 + 170*q**4 - 48*q = 0.
-2, -6/7, 0, 1
Suppose -4*t - 16*t = -2*t. Let g(n) be the third derivative of -3*n**2 + 0*n**3 + 3/200*n**6 + t*n - 1/100*n**5 - 1/60*n**4 + 0. Determine x so that g(x) = 0.
-1/3, 0, 2/3
Let i(y) = -y**2 - y. Let p be i(-1). Factor -3*d**4 + 2*d + 3*d**5 + 6*d**2 - 2 + p*d - 6*d**3 + d - 1.
3*(d - 1)**3*(d + 1)**2
Suppose -q + 18 = 4*o, -11 = -3*o - 4*q + 2*q. Let g be (2/o)/(9/(45/4)). Factor 1/2*d**4 - g*d**3 + 5/2*d - 1 - 3/2*d**2.
(d - 1)**3*(d + 2)/2
Let w(f) = 2*f**2 - f. Let m(x) = x**3 + 3*x**2 - 9*x + 28. Let o(q) = -2*m(q) + 10*w(q). Factor o(l).
-2*(l - 7)*(l - 2)*(l + 2)
Let i be ((-35)/42)/(50/12*60/(-200)). Find k, given that -16/3*k - i*k**3 - 8/3 - 10/3*k**2 = 0.
-2, -1
Let o(a) = -a**2. Let j(d) = -5*d**2 + 14*d. Let y(w) = -30*w**2 + 85*w. Let v(x) = 25*j(x) - 4*y(x). Let m(k) = 14*o(k) - 2*v(k). Factor m(s).
-4*s*(s + 5)
Let 1/2*h**2 - 57/2 - 28*h = 0. What is h?
-1, 57
Let k be 438/(-4) - -3 - 1/2. Let y = 109 + k. Suppose -1/8*i + 1/8*i**3 - 1/4 + 1/4*i**y = 0. What is i?
-2, -1, 1
Let t(o) = 3*o**3 + 11*o**2 + 13*o - 5. Let n(f) = f**3 + f**2 + f - 1. Let w(m) = -5*n(m) + t(m). What is v in w(v) = 0?
-1, 0, 4
Let k(r) be the third derivative of -r**6/720 - r**5/120 + r**4/36 - 4*r**2 + 16. Factor k(g).
-g*(g - 1)*(g + 4)/6
Let s be 1 - (3 - 18/3). Suppose l + 8 = s*j + 5*l, -2*l - 5 = -j. What is q in -6*q**2 + 3*q**j + 4*q**2 + 0*q**3 + 5*q**2 = 0?
-1, 0
Let z(u) = -u**4 + u**2 + 2*u - 1. Let a(v) = 26*v**4 + 86*v**3 + 136*v**2 + 54*v + 23. Let y(w) = -2*a(w) - 22*z(w). Suppose y(l) = 0. What is l?
-3, -2, -2/5, -1/3
Let q be 2*(-2 - -3*1). Suppose 0 = 17*a - 11*a - 42. Suppose -a*c + c**2 + c + 2*c**q = 0. Calculate c.
0, 2
Let b = 11261/15499 + 1/1409. Let 0 + 10/11*u**2 - b*u**3 + 2/11*u**4 - 4/11*u = 0. Calculate u.
0, 1, 2
Let b(w) = w**2 - w. Let l(v) = 2*v**4 + 4*v**3 - 5*v**2 - v. Let r(j) = -6*b(j) - 2*l(j). Determine i so that r(i) = 0.
-2, -1, 0, 1
Let w = 24 + -57. Let f = -31 - w. Factor -2/7*k + 0 + 2/7*k**f.
2*k*(k - 1)/7
Let i(k) = 4*k**2 + 3*k + 2. Let g be (-4 + 5 + 1)*2/(-4). Let v be i(g). Factor 2/5 - 7/5*t**v + 7/5*t - 2/5*t**2.
-(t - 1)*(t + 1)*(7*t + 2)/5
Let u(j) be the first derivative of -1/2*j**6 - 28*j**3 - 24/5*j**5 - 51/2*j**2 - 33/2*j**4 - 12*j + 24. Let u(b) = 0. What is b?
-4, -1
Let h(l) be the third derivative of 0 + 0*l - 47/60*l**6 + 1/3*l**7 + 4/15*l**3 + 14*l**2 - 2/3*l**4 + 29/30*l**5 - 7/120*l**8. Factor h(c).
-2*(c - 1)**3*(7*c - 2)**2/5
Factor 17/2*t + 5/2*t**2 - 21/2 - 1/2*t**3.
-(t - 7)*(t - 1)*(t + 3)/2
Let k = -25 - -28. Let s be (-1 + k)*(-1 + 2). Suppose 2/5*m**2 + 8/5 + s*m = 0. Calculate m.
-4, -1
Let n(o) be the third derivative of o**7/168 - 17*o**6/480 + o**5/40 + 5*o**4/24 - o**3/3 - 3*o**2. Factor n(z).
(z - 2)**2*(z + 1)*(5*z - 2)/4
Let q(l) be the first derivative of l**4/42 - 10*l**3/63 + 8*l**2/21 - 8*l/21 + 10. Factor q(f).
2*(f - 2)**2*(f - 1)/21
Suppose -g + 9 = 2*g - 3*m, 5*g = -2*m - 6. Factor g - 2/11*s**2 - 4/11*s.
-2*s*(s + 2)/11
Let d(z) be the first derivative of z**8/8400 - z**6/900 + z**4/120 + 16*z**3/3 - 17. Let h(b) be the third derivative of d(b). Factor h(x).
(x - 1)**2*(x + 1)**2/5
Let q = -135878/9 + 15098. Determine d so that 8/9*d**4 + 2/9*d**5 + 10/9*d**3 + 0 + q*d**2 + 0*d = 0.
-2, -1, 0
Let d(r) = -38*r**2 + 76*r + 18. Let p(w) = 7*w**2 - 15*w - 4. Let o(c) = 3*d(c) + 16*p(c). Factor o(l).
-2*(l + 1)*(l + 5)
Let a(c) be the third derivative of 3*c**2 + 245/6*c**6 + 49/6*c**7 + 0 + 0*c + 56*c**5 + 110/3*c**4 + 40/3*c**3. Solve a(l) = 0 for l.
-2, -2/7
Solve 3/4*j**2 - 6*j + 12 = 0.
4
Let k be 8 + 3/((-72)/160). Find p, given that -k*p**2 - 2/3*p**3 + 0 - 2/3*p = 0.
-1, 0
Let v(k) be the third derivative of k**5/15 - 7*k**4/6 - 12*k**3 + 2*k**2 - 57*k. Factor v(m).
4*(m - 9)*(m + 2)
Factor 0*k + 0 + 15/2*k**5 + 18*k**4 + 0*k**2 + 6*k**3.
3*k**3*(k + 2)*(5*k + 2)/2
Let -30*p**2 - 67*p**3 - 38*p**4 + 4*p**3 - 2*p**3 - 5*p**5 - 2*p**4 = 0. What is p?
-6, -1, 0
Suppose -5*c + 52 = -3*r - 47, 0 = c + 2*r - 12. Suppose 4*x - c = -5*n, x + 2*x = 6. Factor 2/5*v**3 + 2*v**n + 14/5*v + 6/5.
2*(v + 1)**2*(v + 3)/5
Let p(j) be the first derivative of 1/6*j**3 + 0*j**2 - 3/16*j**4 + 0*j + 7 + 1/20*j**5. Factor p(u).
u**2*(u - 2)*(u - 1)/4
Let g(m) be the second derivative of 2*m**7/3 + 12*m**6/5 + 11*m**5/35 - 118*m**4/21 - 40*m**3/7 - 16*m**2/7 - m + 4. Suppose g(u) = 0. What is u?
-2, -1, -2/7, 1
Let s(p) be the first derivative of p**7/5460 + p**6/2340 - p**5/780 - p**4/156 + 3*p**3 + 16. Let v(a) be the third derivative of s(a). What is f in v(f) = 0?
-1, 1
Let q be -2 - -7 - ((-36)/81)/(8/(-36)). Factor q - 5/2*d - 1/2*d**2.
-(d - 1)*(d + 6)/2
Let f(o) be the first derivative of -o**6/40 - o**5/10 - o**4/8 + 6*o**2 + 17. Let l(y) be the second derivative of f(y). Let l(h) = 0. What is h?
-1, 0
Let r(j) = 15*j**2 - 380*j. Let w(o) = -33*o**2 + 762*o. Let z(v) = -9*r(v) - 4*w(v). Let z(h) = 0. What is h?
0, 124
Let c(d) be the first derivative of 13/4*d**4 + 0*d + 16/5*d**5 - 3/2*d**6 - 2*d**2 - 16/3*d**3 + 10. Solve c(t) = 0.
-1, -2/9, 0, 1, 2
Let o be (720/(-576))/(5/(-8)). Factor -18/7 - 2/7*y**o - 12/7*y.
-2*(y + 3)**2/7
Let -6*l**2 - 3/2*l**3 - 6*l + 0 = 0. Calculate l.
-2, 0
Let m(g) = g**3 - 6*g**2 - 9*g + 17. Let t be m(7). Factor 4*p - 38*p**t + p + 33*p**3.
-5*p*(p - 1)*(p + 1)
Let b be (12/7)/((-3)/21). Let o be -28*3*1/b. Factor -2*g + 0*g**5 + 4*g**3 - o + 7 - 2*g**5.
-2*g*(g - 1)**2*(g + 1)**2
Let r be (-1 - -2)*((-7)/56)/(-1). Let x(b) be the first derivative of -1/4*b**2 + r*b**4 + 1 + 1/10*b**5 - 1/2*b**3 + b. Let x(d) = 0. What is d?
-2, -1, 1
Factor -23*y**3 - 7166 + 10238 - 144*y**2 + 3*y**4 - y**3 + 768*y.
3*(y - 8)**2*(y + 4)**2
Let g be (-15)/2*18/15. Let h be (g/(-15))/((-21)/(-28)). Factor h + 2*y - 4/5*y**3 + 2/5*y**2.
-2*(y - 2)*(y + 1)*(2*y + 1)/5
Solve 12/5*r**2 + 2/5*r**5 + 0 - 14/5*r**3 + 0*r + 0*r**4 = 0 for r.
-3, 0, 1, 2
Let b(q) be the first derivative of -3*q**4/16 - 49. Determine y, given that b(y) = 0.
0
Let f(y) = 4*y**3 - 2*y**2 - 4*y + 7. Let h(t) = -4*t**3 + t - 1 + 2*t**3 + t**3. Let i(a) = -3*f(a) - 15*h(a). Find k such that i(k) = 0.
-2, -1, 1
Let g(b) = -12*b**4 - 12*b**2 + 8*b. Let i(t) = -t**4 + t**3 - t**2 + t. Suppose -4 = -x - 12. Suppose 4*z + 17 = 21. Let y(d) = x*i(d) + z*g(d). Factor y(r).
-4*r**2*(r + 1)**2
Let t = 69 + -65. Suppose 0 = -2*a - a. Determine b so that 4*b + a*b + 0*b - 8*b**3 + t*b**5 = 0.
-1, 0, 1
Let k(i) be the third derivative of -i**7/420 + i**6/30 - i**5/8 - i**4/6 + 4*i**3/3 - 29*i**2 + 2*i. Suppose k(r) = 0. What is r?
-1, 1, 4
Let u = 151 + -82. Let f = -619/9 + u. Find r such that f*r**2 + 2/9 - 4/9*r = 0.
1
Let k(j) be the third derivative of -j**6/72 + 10*j**4/9 + j**2 + 11. Let k(m) = 0. What is m?
-4, 0, 4
Let g(f) = -f**4 - f**3 + f**2 + f. Let y(v) = -v**5 - 8*v**4 - 6*v**3 + 8*v**2 + 7*v. Let i(k) = -6*g(k) + y(k). Determine p, given that i(p) = 0.
-1, 0, 1
Let t(c) be the first derivative of c**3/3 - c**2/2 - 6*c + 109