+ 1649*n + 1645*n - n**2. Let y(q) = g(q) + 15*t(q). Let y(d) = 0. Calculate d.
-1, -2/3, 1
Suppose -49 = -377*n - 49. Suppose 2*o - 4/3 + n*o**2 - 2/3*o**3 = 0. What is o?
-2, 1
Let i(f) be the first derivative of f**6/51 + 22*f**5/85 + 35*f**4/34 + 50*f**3/51 + 135. Factor i(q).
2*q**2*(q + 1)*(q + 5)**2/17
Let u be 11/3 - (-2)/6. Suppose -2*m = -u*q - 10 - 10, 14 = 5*m - q. Suppose 4*z**4 - 16*z**3 - 2/5*z**5 - 32*z + 32*z**m + 64/5 = 0. Calculate z.
2
Let v be 928/80 + 5 + -11. Let f(t) be the first derivative of -16/5*t - v*t**2 + 14 - 76/15*t**3 - 5/2*t**4 - 1/15*t**6 - 16/25*t**5. Let f(d) = 0. What is d?
-2, -1
Let o(c) = -c**2 - 13*c - 18. Let q be 92/(-12) + -4 + 2/3. Let w be o(q). Let 4*y**2 + 8*y**5 - 47/2*y**3 + w*y**4 + 1 + 13/2*y = 0. What is y?
-2, -1/4, 1
Determine r, given that -5*r**3 + 39*r**2 - 5*r**3 + 6*r**3 + 10*r = 0.
-1/4, 0, 10
Let u(g) be the second derivative of -5*g**7/14 - 27*g**6/10 - 9*g**5/2 - 2*g**4 - 18*g - 1. Determine f so that u(f) = 0.
-4, -1, -2/5, 0
Let j(g) = -5*g - 1. Let a be j(-1). Let z = 767 + -756. Factor -2*k**2 - 10*k**5 + z*k**3 - 14*k**a + 21*k**3 + 4*k**5 - 42*k**3.
-2*k**2*(k + 1)**2*(3*k + 1)
Let b(v) be the third derivative of 27*v**5/4 + 30*v**4 + 160*v**3/3 - 831*v**2. Suppose b(q) = 0. Calculate q.
-8/9
Let n be (-2)/3 - ((-124)/12 + 9). Factor -2/9*m**3 + 0 - 4/9*m - n*m**2.
-2*m*(m + 1)*(m + 2)/9
Let r(p) = 26*p**2 + 55*p - 331. Let k(v) = -9*v**2 - 18*v + 111. Let g(u) = 17*k(u) + 6*r(u). Factor g(m).
3*(m - 3)*(m + 11)
Determine s so that -5 + 18879*s - 18879*s + 5*s**2 = 0.
-1, 1
Let p(n) be the third derivative of n**7/7560 + n**6/1080 + n**5/360 + 17*n**4/24 - 6*n**2. Let v(g) be the second derivative of p(g). Factor v(t).
(t + 1)**2/3
Let u be ((-27)/(-90))/((-15)/(-25)). Suppose 8*k + 32*k**2 + u = 0. What is k?
-1/8
Let o(v) = -6*v**2 - 6*v + 2. Let y(z) = -1 + 4*z**2 - 2*z**2 - z**3 - 3*z**2 - z. Let s(r) = -o(r) - 2*y(r). Suppose s(j) = 0. Calculate j.
-2, 0
Let g(i) be the third derivative of -3*i**8/56 + 5*i**7/28 + i**6/30 - 5*i**5/24 - i**4/8 + 222*i**2. Determine w so that g(w) = 0.
-1/3, 0, 3/4, 2
Let d be 1/((-8)/10) - 6136/(-1888). Find o, given that -10/3*o**d - 8/3 + 17/3*o + 1/3*o**3 = 0.
1, 8
Factor -39*h**4 - 644*h**3 + 1447*h**3 - 662*h**3 + 3*h**5 + 72*h - 177*h**2.
3*h*(h - 8)*(h - 3)*(h - 1)**2
Let x(u) be the third derivative of -18*u**5 + 12*u**2 + 0 - 135/2*u**4 - 162*u**3 + 0*u - 1/84*u**8 - 2/7*u**7 - 3*u**6. Find j, given that x(j) = 0.
-3
Let r(l) = 12*l**2 - 9*l - 3. Let h = 47 + -51. Let j(n) = -11*n**2 + 10*n + 4. Let c(w) = h*r(w) - 3*j(w). Suppose c(u) = 0. What is u?
0, 2/5
Let z(l) be the second derivative of 0 - 1/45*l**5 - 13*l - 1/9*l**3 - 1/12*l**4 - 1/18*l**2. Determine q so that z(q) = 0.
-1, -1/4
Let y(b) be the second derivative of -b**6/10 + 6*b**5/5 + 33*b**4/4 + 2*b**3 - 66*b**2 + 112*b - 2. Factor y(g).
-3*(g - 11)*(g - 1)*(g + 2)**2
Let w(g) be the third derivative of -g**5/20 + 3*g**4/4 - 5*g**3/2 + 40*g**2. Factor w(i).
-3*(i - 5)*(i - 1)
Find w such that 3 - 49 - 28*w + 36 + 6*w**2 = 0.
-1/3, 5
Let k = 7876 + -7874. Suppose -2/3*a + 1/6*a**k + 2/3 = 0. Calculate a.
2
Suppose 6/7*s + 52/7*s**4 + 0 + 44/7*s**2 + 10/7*s**5 + 80/7*s**3 = 0. What is s?
-3, -1, -1/5, 0
Let q(f) = -1 + 5*f**2 - 3 + 29*f - 26*f - 2*f**2. Let w be q(-2). Factor 3/5*z**4 - 3/5*z**3 - 6/5*z**w + 0 + 0*z.
3*z**2*(z - 2)*(z + 1)/5
Determine g so that -10/3 + 20/3*g**3 - 170*g**2 - 275/3*g + 85*g**5 + 520/3*g**4 = 0.
-1, -2/51, 1
Let f be 9/120*4/9. Let k(v) be the second derivative of -4/5*v**2 - 2/25*v**5 + 16/15*v**3 + f*v**4 + 0 - 5*v. Factor k(j).
-2*(j - 2)*(j + 2)*(4*j - 1)/5
Suppose 2*b = w - 0*b + 6, -3*b = 5*w - 22. Determine u so that 6*u**4 + 4*u**2 + 0*u**4 - 3*u**3 - 3*u - 10*u**w + 6*u = 0.
-1, 0, 1/2, 1
Let m(g) = g**3 + 28*g**2 + 25*g. Let b(a) = 3*a**3 + 56*a**2 + 55*a. Let c(d) = 3*b(d) - 5*m(d). Factor c(h).
4*h*(h + 2)*(h + 5)
Suppose -4*f + 8 = 4*i, -4*f - 16 = -2*i - 2*i. Let h = 6 - i. Find w such that 0*w + 3*w - 3*w**3 - 3*w + h*w**4 = 0.
0, 1
Factor 84*y**5 - 16*y - 78*y**5 - 6*y**2 + 34*y**3 + 8 - 19*y**4 - 7*y**4.
2*(y - 2)*(y - 1)**3*(3*y + 2)
Find o such that 38*o + 5 + 2*o**2 - 65 - 23*o - 13*o = 0.
-6, 5
Suppose -44*p = -11*p - 66. Let -z**p + 2/3*z + 0 = 0. Calculate z.
0, 2/3
Suppose -4*l - 9 = j, 5*l = -2*j - 2 - 19. Let g(h) = h**2 + 11*h - 16. Let o be g(j). Find k such that 18*k**2 + 17*k - 3*k**2 - k**3 - o*k + 10*k**3 + 1 = 0.
-1, -1/3
Let z = -4140 - -20718/5. Find b, given that -z*b**4 - 12/5*b**2 + 0*b - 6*b**3 + 0 = 0.
-1, -2/3, 0
Let u = 0 + -50. Let g = 37 - u. Factor 0*q**5 - q**5 - g*q**3 + 88*q**3.
-q**3*(q - 1)*(q + 1)
Let y(z) be the third derivative of -z**7/945 + z**6/54 - 37*z**5/270 + 5*z**4/9 - 4*z**3/3 + 51*z**2. Find o such that y(o) = 0.
2, 3
Let u be (2/8)/((-539)/12). Let i = 13466/1617 - u. Find y such that -4/3 - 7/3*y**4 - i*y**2 - 16/3*y - 19/3*y**3 - 1/3*y**5 = 0.
-2, -1
Let i(o) be the second derivative of -15*o - o**4 + 3*o**3 + 1/10*o**5 + 0 - 4*o**2. Let i(b) = 0. Calculate b.
1, 4
Let l(y) be the third derivative of y**8/672 + y**7/70 + 3*y**6/80 + y**5/30 + 108*y**2 - 2*y. Factor l(z).
z**2*(z + 1)**2*(z + 4)/2
Factor -1/3*r**2 - 16/3*r + 17/3.
-(r - 1)*(r + 17)/3
Let i = -162 - -180. Let o be (18/108)/(2/i). Factor -3/2*f**2 - o*f**3 + 3*f + 0.
-3*f*(f - 1)*(f + 2)/2
Let g(i) = -i**3 + i**2. Let r(v) = 20*v**4 + 2*v**3 - 30*v**2 + 8*v. Suppose 17 = -3*h - 13. Let u(b) = h*g(b) - r(b). Factor u(a).
-4*a*(a - 1)*(a + 1)*(5*a - 2)
Let n(b) = b**2 - 14. Let y be n(-4). Suppose -64*o**4 + 276*o**5 - 364*o**y + 1004*o**5 - 784*o**3 - 27 + 23 - 64*o = 0. What is o?
-1/4, -1/5, 1
Let w(m) be the second derivative of -2/3*m**2 + 18*m + 1/10*m**5 + 0 - 1/90*m**6 + 2/3*m**3 - 13/36*m**4. Solve w(c) = 0.
1, 2
Let m be ((2 - 2)*2/(-2))/1. Suppose m = -5*n + 6*n + 2*y - 8, 5*n = -5*y + 25. Factor 1/3*l**n - 4/3*l + 0.
l*(l - 4)/3
Let r(k) = k**4 + k**2 - k. Let p(l) = 34*l**4 - 38*l**3 + 48*l**2 - 14*l - 8. Let c(m) = -2*p(m) + 44*r(m). Suppose c(u) = 0. What is u?
-1/2, 2/3, 1, 2
Let i(u) = -4*u + 44. Suppose 31 - 64 = -3*l. Let q be i(l). Factor q*n - 2/3*n**2 - 8/3*n**5 + 0 - 4/3*n**3 + 14/3*n**4.
-2*n**2*(n - 1)**2*(4*n + 1)/3
Let q = 1350 - 20248/15. Let a(o) be the second derivative of -2/3*o**4 + 2*o**2 - 4*o + 7/3*o**3 + 0 + q*o**6 + 1/3*o**7 - 7/5*o**5. What is s in a(s) = 0?
-1, -2/7, 1
Let a(y) = 3*y**2 + 2*y - 3. Let q be a(1). Let g(k) be the first derivative of -7/24*k**4 - 3*k**q + 5/3*k**3 + 5 + 4/3*k. Factor g(n).
-(n - 2)**2*(7*n - 2)/6
Let q(j) = 8*j**5 + 12*j**4 + 8*j**3 - 24*j**2 - 4*j + 60. Let s(m) = m**5 - m**3 + 3*m**2 + m + 1. Let b(i) = q(i) - 12*s(i). What is w in b(w) = 0?
-2, -1, 1, 2, 3
Let n(h) be the first derivative of -h**4/4 + 8*h**3/3 - 8*h**2 + 78. Determine s, given that n(s) = 0.
0, 4
Factor -4/9 - 8/9*n**3 + 4/9*n**4 + 8/9*n + 0*n**2.
4*(n - 1)**3*(n + 1)/9
Let f = 1 - -5. Suppose -2*l + f*l - p - 12 = 0, -l + 5*p = -22. Find i, given that 6/5*i + 2/5*i**3 + 6/5*i**l + 2/5 = 0.
-1
Let p(h) = -h**2 - h + 1. Let f(z) = -3*z**3 - 27*z**2 - 99*z - 81. Suppose 5*d = 5, 3*i - 2*d = -3*d + 4. Let b(l) = i*f(l) + 6*p(l). Factor b(q).
-3*(q + 1)*(q + 5)**2
Let p be -2 + 68/24 - 3/6. Determine v, given that -p*v**2 + 0*v**3 + 0*v + 1/3*v**4 + 0 = 0.
-1, 0, 1
Factor -226 + 226 + 3*y - y**2.
-y*(y - 3)
Let r(w) be the first derivative of 1/4*w**3 - 2 + 0*w - 3/8*w**2. Solve r(c) = 0.
0, 1
Let o(q) be the first derivative of -q**6/10 - 21*q**5/25 - 27*q**4/10 - 22*q**3/5 - 39*q**2/10 - 9*q/5 - 301. Suppose o(v) = 0. What is v?
-3, -1
Let c(z) = -19*z**3 - 18*z**2 + 144*z + 467. Let h(s) = -3*s**3 - 3*s**2 + 24*s + 78. Let q(p) = 6*c(p) - 39*h(p). Factor q(m).
3*(m - 5)*(m + 4)**2
Let h(a) be the second derivative of -a**5/110 - 6*a**4/11 + 76*a**3/33 - 8*a + 13. Find i such that h(i) = 0.
-38, 0, 2
Let a(j) = 21*j**2 + 51*j - 39. Let m(u) = 1. Let c(i) = a(i) + 3*m(i). Factor c(x).
3*(x + 3)*(7*x - 4)
Let x(w) be the second derivative of w**7/14 - w**6/10 - 27*w**5/20 - 11*w**4/4 - 2*w**3 + 65*w - 1. Factor x(g).
3*g*(g - 4)*(g + 1)**3
Let r(a) be the third derivative of a**6/40 - 57*a**5/10 + 420*a**4 - 3136*a**3 - 76*a**2. Factor r(z).
3*(z - 56)**2*(z - 2)
Let a