 244*y + 1076*y + 4*y**4 + 2*y**2 - 822*y**3 + 774*y**3 + 14*y**2 = 0. Calculate y.
-3, -1, 8
Let c be 1/15 + 1/3. Let l = 48163 + -48161. Find q such that 0 + 6/5*q - c*q**l = 0.
0, 3
Let y be (-1054)/(-248) - 213/52. Factor y*w**2 + 24/13 - 16/13*w.
2*(w - 6)*(w - 2)/13
Suppose -124*w + 49*w**2 - 18*w**2 + 33*w**2 + 24 + 36*w**3 = 0. What is w?
-3, 2/9, 1
Let q(d) be the first derivative of 2*d**5/15 - d**4/3 - 46*d**3/9 + 8*d**2 + 96*d + 85. Let q(b) = 0. Calculate b.
-3, 4
Let n(l) be the first derivative of -l**4/2 - 3*l**2 - 4*l + 4. Let o(t) = -6*t**3 + t**2 - 18*t - 11. Let x(f) = 17*n(f) - 6*o(f). What is z in x(z) = 0?
1
Let z be (-5*32/360)/((-28)/18). What is o in -4/7*o**4 + 0 + 4/7*o**2 + 0*o - 2/7*o**3 + z*o**5 = 0?
-1, 0, 1, 2
Let w(o) be the first derivative of o**3/5 - 213*o**2/5 + 15123*o/5 - 108. Factor w(r).
3*(r - 71)**2/5
Let j = -297/92 - -80/23. Find l such that 0 - j*l**2 + 1/4*l = 0.
0, 1
Let d(j) = 6*j**4 - 19*j**3 - 6*j**2 + 19*j. Let u(f) = 2*f**4 - 6*f**3 - 2*f**2 + 6*f. Let b(c) = -2*d(c) + 7*u(c). Factor b(r).
2*r*(r - 2)*(r - 1)*(r + 1)
Suppose -2 = 4*l - 18. Let u(m) be the third derivative of 0*m + 1/40*m**6 + 0 + 0*m**3 - m**2 + 0*m**l + 0*m**5 + 1/70*m**7. Let u(x) = 0. What is x?
-1, 0
Let a be (-81)/(-7) + 0/(-2). Let p = 271/21 - a. Suppose -p*m + 2/3*m**2 + 0 = 0. What is m?
0, 2
Let z = -637/10 - -321/5. Let r(m) be the first derivative of 0*m - 1/3*m**3 + 1 - z*m**2. Factor r(t).
-t*(t + 1)
Factor 81/4*b - 45/2*b**4 - 123/2*b**2 + 63*b**3 + 3/4*b**5 + 0.
3*b*(b - 27)*(b - 1)**3/4
Let n be (-2)/(-4) - 45/(-70). Let x = -4682/7 + 670. Factor -n + x*r - 2/7*r**2.
-2*(r - 2)**2/7
Solve -10*y**3 + 17*y**2 + 477 + 6*y - 477 = 0 for y.
-3/10, 0, 2
Suppose 4*x - 16 = 548. Factor -x*s**2 + 386*s**2 + 239*s**2 + 16 - 176*s.
4*(11*s - 2)**2
Let d be ((-15)/25)/(6/45). Let n = d + 21/4. Factor -n*h**3 - 3/4*h**2 + 0*h + 0.
-3*h**2*(h + 1)/4
Let j(i) be the first derivative of 3*i**4/20 - 7*i**3/5 + 3*i**2 + 12. Factor j(f).
3*f*(f - 5)*(f - 2)/5
Suppose -3*i + 9 = -0. Find s such that 15*s**2 + 5 - i*s**3 + 0*s**3 + 11*s + 8*s**3 + 4*s = 0.
-1
Determine d, given that 10/3*d - 2*d**2 - 14/9 + 2/9*d**3 = 0.
1, 7
Factor 0*g - 1/2*g**2 + 81/2.
-(g - 9)*(g + 9)/2
Let h(y) = -y - 2. Let x(l) = -l**2 + 49*l - 66. Let j(o) = -6*h(o) + x(o). Find n, given that j(n) = 0.
1, 54
Let o(w) be the first derivative of w**7/280 - w**6/60 - 5*w**3 - 2. Let n(z) be the third derivative of o(z). Factor n(v).
3*v**2*(v - 2)
Let w = -359/88 + 33/8. Let u(t) be the first derivative of 4/33*t**3 + 1 - 16/11*t + w*t**4 - 4/11*t**2. Solve u(f) = 0.
-2, 2
Let q(a) = 4*a**2 + a + 1. Let r(h) = -25*h**2 - 31*h - 6. Let d(t) = 6*q(t) + r(t). What is k in d(k) = 0?
-25, 0
Let y(c) be the third derivative of 0 - 10*c**2 + 1/360*c**6 + 1/315*c**7 + 1/1008*c**8 + 0*c**4 + 0*c**5 + 0*c**3 + 0*c. Factor y(r).
r**3*(r + 1)**2/3
Let g = 12 - -41. Let s = g - 33. Let 3*f**2 + 20 - 13*f**2 - 11*f + s + 5*f**3 - 9*f = 0. What is f?
-2, 2
Let r be (-1)/2 + 15/(-10). Let p be r/(-1 + -3)*0. Factor 0*z**2 - 2/3*z**3 + 0*z + p.
-2*z**3/3
Let z(b) = -2*b**3 - 17*b**2 - 84*b - 144. Let k(g) = -g**3 - g**2. Let c(r) = -3*k(r) + 3*z(r). Factor c(h).
-3*(h + 4)*(h + 6)**2
Let h(k) be the third derivative of k**6/120 - k**5/30 - 10*k**2. Let p be h(2). Factor 0*c + 2/3*c**4 + p + 2/9*c**2 + 2/3*c**3 + 2/9*c**5.
2*c**2*(c + 1)**3/9
Suppose 4*u - 4*k - 23 = -3, 4*u = -k + 5. Let t(a) be the third derivative of 1/150*a**5 + 0 - 1/15*a**3 + 4*a**u - 1/120*a**4 + 0*a + 1/600*a**6. Factor t(n).
(n - 1)*(n + 1)*(n + 2)/5
Let q = -6119 - -42836/7. Factor 27/7*j - q*j**2 - 24/7.
-3*(j - 8)*(j - 1)/7
Let v(f) = -3*f**4 + 42*f**3 + 27*f**2 - 18*f - 18. Let t(y) = y**4 - 17*y**3 - 11*y**2 + 7*y + 7. Let o(j) = 18*t(j) + 7*v(j). Factor o(l).
-3*l**2*(l + 1)*(l + 3)
Let n = -1 + 1. Let z = 607 + -607. Let z*g + n - 1/3*g**2 = 0. What is g?
0
Let c be 10/(-4)*24/(-20). Let q be 2/(1 + c/(-6)). Let -2*v + 0*v**4 + 3*v**2 - 3*v**2 + 1 - v**q + 2*v**3 = 0. Calculate v.
-1, 1
Factor 72/7*y - 4/7*y**3 - 4*y**2 + 0.
-4*y*(y - 2)*(y + 9)/7
Let z = -38 + 40. Let w be z*6/(60/25). Factor 0*l**5 - 5*l**3 + 2*l**2 + 3*l**w + 2*l**5 - 5*l**4 + 3*l**2.
5*l**2*(l - 1)**2*(l + 1)
Let a be ((-4)/(-180)*9)/((-4)/(-5)). Let j(b) be the second derivative of 0 + 2/3*b**2 - a*b**5 - 1/36*b**4 - 2*b + 2/3*b**3. Factor j(s).
-(s - 1)*(3*s + 2)*(5*s + 2)/3
Let s(j) = -4*j + 142. Let h be s(35). Let g(t) be the first derivative of 4 + 0*t + 2/27*t**3 + 1/9*t**h. Suppose g(u) = 0. What is u?
-1, 0
Let y = 48 - 53. Let h(z) = -z**3 - 5*z. Let a(i) = i**3 + i**2 + 4*i. Let o(g) = y*a(g) - 4*h(g). Suppose o(f) = 0. What is f?
-5, 0
Factor 49/3*p + 1/3*p**2 - 34.
(p - 2)*(p + 51)/3
Let k(i) be the first derivative of -i**4/2 + 70*i**3/3 - 323*i**2 + 578*i + 9. Factor k(d).
-2*(d - 17)**2*(d - 1)
Let o(r) = -3*r**4 + 2*r**3 - 12*r**2 - 22*r - 1. Let g(h) = -h**4 + h**3 - 2*h + 1. Let t(q) = -4*g(q) + o(q). Factor t(p).
(p - 5)*(p + 1)**3
Let v(a) be the second derivative of -a**4/6 - 7*a**3 - 20*a**2 + 39*a. Factor v(b).
-2*(b + 1)*(b + 20)
Let g(y) = -11*y**4 - 33*y**3 - 29*y**2 - 9*y. Let m(h) = -169*h**2 + h**4 + 168*h**2 + 2*h**3 - 3*h**3 - h. Let f(r) = -g(r) + m(r). Factor f(j).
4*j*(j + 1)**2*(3*j + 2)
Let y = 301/576 - 5/64. Let f(a) = a + 7. Let n be f(-4). Let -2/9*g**n + 0 - y*g**2 - 2/9*g = 0. Calculate g.
-1, 0
Let w(x) be the second derivative of 0 - 22*x + 1/72*x**4 - 7/36*x**3 - 2/3*x**2. Let w(r) = 0. What is r?
-1, 8
Let m(u) be the third derivative of -u**8/336 + u**7/30 - 13*u**6/120 - u**5/20 + 3*u**4/4 + 122*u**2. Suppose m(h) = 0. Calculate h.
-1, 0, 2, 3
Factor -1/3*c**2 - 1875 - 50*c.
-(c + 75)**2/3
Factor 1/4*i**2 + 529/4 - 23/2*i.
(i - 23)**2/4
Let p(r) = -r**2 + r. Let s(v) = -v**3 - 3*v**2 - 12*v. Let t(f) = -3*p(f) - s(f). Factor t(c).
c*(c + 3)**2
Suppose 5*z - 128 + 33 = 0. Let h = z - 75/4. Find d, given that -1/4*d**3 + h*d + 0*d**2 + 0 = 0.
-1, 0, 1
Let c(n) be the third derivative of 2*n**7/63 - n**6/27 + n**5/72 - 7*n**3/3 - 9*n**2. Let r(j) be the first derivative of c(j). Factor r(p).
5*p*(4*p - 1)**2/3
Let i(z) be the third derivative of 0 + 1/120*z**5 + 1/32*z**4 + 18*z**2 + 1/1344*z**8 - 1/120*z**6 + 0*z**7 + 0*z - 1/12*z**3. Let i(v) = 0. Calculate v.
-2, -1, 1
Let y(j) be the third derivative of -j**5/20 + j**3/2 + 35*j**2 + j. Factor y(t).
-3*(t - 1)*(t + 1)
Let g(h) = -h + 18. Let y be g(16). Suppose 5*l = -y*l + 14. Determine q so that -q - 1/2 - 1/2*q**l = 0.
-1
Let a = -176 - -243. Let i = 271/4 - a. Suppose 1/2*r + 0 + i*r**2 = 0. What is r?
-2/3, 0
Let n(c) be the second derivative of -c**9/9072 + c**7/2520 + c**3 + 4*c. Let i(y) be the second derivative of n(y). Factor i(a).
-a**3*(a - 1)*(a + 1)/3
Suppose -15 = -2*m - 11. Suppose 2*d + 2*r = 16, 5*r = -d + m*d + 16. Factor 2*b**4 + b**d - 8*b**3 - b**4 + 10*b**2 - 4*b.
2*b*(b - 2)*(b - 1)**2
Let c(t) = t**2 + 2*t + 2. Let s be c(0). Determine x, given that -2*x**s + 6*x**2 - x**2 - 2*x**2 - 1 = 0.
-1, 1
Let s(n) be the third derivative of 0 - 1/720*n**6 - 5/3*n**3 - 1/240*n**5 + 0*n + 0*n**4 - 9*n**2. Let v(p) be the first derivative of s(p). Factor v(d).
-d*(d + 1)/2
Let x = 4237/5720 + 165/104. Let o = 30/11 - x. Factor 0*k + o*k**4 + 0*k**3 + 0*k**2 + 0 - 2/5*k**5.
-2*k**4*(k - 1)/5
Let s be ((-6)/810*5)/((-1)/3). Let u(g) be the first derivative of s*g**3 + 2/3*g**2 + 11 + 0*g. What is y in u(y) = 0?
-4, 0
Let r be (-40)/(-7) + 5/((-105)/(-6)). Suppose -4*w = -0*w + q - 14, -3*q = -r. Let -1/6*m**w + 1/3*m**2 + 0 - 1/6*m = 0. Calculate m.
0, 1
Let v(s) be the first derivative of -s**6/21 - 4*s**5/35 + 3*s**4/14 + 8*s**3/21 - 4*s**2/7 + 37. Determine c so that v(c) = 0.
-2, 0, 1
Suppose -3*o = 3*q + 15, -2*o - 8 = q - 2. Let x be (6/4)/(-3) - 10/q. Let 6/7*v - 15/7*v**3 + 6/7*v**4 + 0 + 3/7*v**x = 0. What is v?
-1/2, 0, 1, 2
Find r such that 0*r - 3/5*r**2 + 1/5*r**3 + 0 = 0.
0, 3
Let i(b) = b**2 + 14*b + 49. Let h be i(-5). Let o(w) be the first derivative of -4*w**2 - 36/5*w**5 - 20/3*w**3 + 0*w + 16*w**h + 5. Let o(l) = 0. Calculate l.
-2/9, 0, 1
Let o = -241 - -242. Let x be (232/(-30) - -7) + (2 - o). Determine w, given that x + 2/5*w**2 + 2/3*w - 2/15*w**4 - 2/15*w**3 = 0.
-1, 2
Factor 6*w**