 6*m + 2. Let z(b) = 2*b**4 + b**3 + b**2 + b - 1. Let k = -259 + 261. Let l(a) = k*z(a) + g(a). Let l(i) = 0. What is i?
-2, 0, 1, 2
Let f(r) = -85*r**3 - 400*r**2 + 350*r + 1610. Let i(n) = n**4 + 86*n**3 + 397*n**2 - 352*n - 1612. Let j(y) = -4*f(y) - 5*i(y). Suppose j(k) = 0. Calculate k.
-9, -2, 2
Let m(z) = -4*z**4 + 58*z**3 + 552*z**2 + 420*z + 10. Let l(a) = a**4 - 21*a**3 - 183*a**2 - 140*a - 3. Let c(u) = 10*l(u) + 3*m(u). Let c(k) = 0. What is k?
-10, -7, -1, 0
Let r(m) = -7*m**2 + 3878*m - 1251950. Let s(x) = 37*x**2 - 19391*x + 6259751. Let y(o) = 11*r(o) + 2*s(o). Factor y(n).
-3*(n - 646)**2
Let y(s) = s**2 + 107*s - 30. Let t(j) = j**2 - 2. Let k(h) = 2*t(h) + y(h). Let f be k(-36). Factor f*u**2 - 1/3*u**3 - 11/3*u + 2.
-(u - 3)*(u - 2)*(u - 1)/3
Let d(v) be the third derivative of v**7/1155 + 23*v**6/660 + 3*v**5/11 - 25*v**4/3 - 7000*v**3/33 - 66*v**2. Factor d(l).
2*(l - 7)*(l + 10)**3/11
Let y(m) be the first derivative of m**7/210 + 11*m**6/90 + m**5/3 + 5*m**3/3 + 5*m + 102. Let j(l) be the third derivative of y(l). Factor j(c).
4*c*(c + 1)*(c + 10)
Determine j so that -2340*j**2 - 840*j**3 - 2*j**4 + 260*j**2 - 22*j**4 - 1680*j - 96*j**4 - 5*j**5 = 0.
-14, -6, -2, 0
Let r be ((-4168)/(-24) - -8)/(1/(-3)). Let y = r + 545. Find z such that -16/9*z**4 - 38/9*z**3 + 0*z - 4/3*z**2 + 10/9*z**5 + y = 0.
-1, -2/5, 0, 3
Let n(p) be the first derivative of -3/40*p**5 + 0*p**2 + 1/12*p**4 + p**3 + 0*p - 9 + 7/360*p**6. Let y(j) be the third derivative of n(j). Factor y(s).
(s - 1)*(7*s - 2)
Let h(z) be the third derivative of z**5/36 - 3185*z**4/36 + 2028845*z**3/18 - 1972*z**2. Factor h(f).
5*(f - 637)**2/3
Let p(b) be the third derivative of 7/2*b**3 + 0*b**5 + 7*b**2 + 1/720*b**6 + 0*b**4 + 0*b + 0. Let a(n) be the first derivative of p(n). Factor a(u).
u**2/2
Let l(j) be the second derivative of -j**5/20 + 5*j**4/6 + 100*j**3/3 - 3*j + 1861. Find k such that l(k) = 0.
-10, 0, 20
Factor -51*w**2 + 2*w**3 + 113*w - 88*w - 60 - 77*w - 70*w + 2*w**4 - 11*w**2.
2*(w - 6)*(w + 1)**2*(w + 5)
Let a(w) be the second derivative of -2*w**6/15 - w**5 - w**4 + 6*w**3 - 3*w + 20. Let a(x) = 0. Calculate x.
-3, 0, 1
Let z(h) be the first derivative of h**6/180 + h**5/60 - 2*h**3 - 3*h**2 + 9. Let m(y) be the third derivative of z(y). Factor m(s).
2*s*(s + 1)
Let z be ((-24003)/14742 - 3/(-18)*4)*-4. Factor z*u - 2/13*u**2 + 0.
-2*u*(u - 25)/13
Let l(f) be the third derivative of f**6/40 + 7*f**5/20 - 24*f**4 + 342*f**3 - 95*f**2 - 1. Find u such that l(u) = 0.
-19, 6
Let w(s) be the first derivative of -2*s**3/3 + 170*s**2 - 672*s - 4076. Suppose w(a) = 0. What is a?
2, 168
Let k(w) be the second derivative of w**5/30 - w**4/2 + 85*w**2 + 24*w. Let z(l) be the first derivative of k(l). Factor z(m).
2*m*(m - 6)
Let x = 150 - 134. Determine p, given that -2*p**2 + 28*p + x*p - 40*p = 0.
0, 2
Suppose -14/5*f**2 + 264/5 - 184*f = 0. What is f?
-66, 2/7
Let d(a) be the third derivative of -121*a**7/210 - 781*a**6/4 - 1129957*a**5/60 + 34435*a**4/2 - 18818*a**3/3 + 32*a**2 + 21. Factor d(g).
-(g + 97)**2*(11*g - 2)**2
Suppose -4*c = -0*a + 3*a + 3053, 4*c + 3057 = a. Let w = c - -767. Factor 0 - 1/2*o**w - 4*o**2 - 8*o.
-o*(o + 4)**2/2
Suppose 12*y = 14*y - 30. Suppose y*j + 2*j**2 - 372*j - 296*j**2 - 329*j - 42*j**3 - 2*j**4 = 0. What is j?
-7, 0
Factor -6*r**3 - 73*r - 61*r + 470*r + 14*r**2 + 62*r**2 - 256.
-2*(r - 16)*(r + 4)*(3*r - 2)
Suppose 0 = -3*j - 854 + 860. What is m in 0*m - 185*m**4 + 0*m - 80*m**j + 180*m**4 + 12*m**3 + 28*m**3 = 0?
0, 4
Let t be ((-7728)/3542 + 24/(-110))/(4/(-10)). Factor t*u**3 + 9/2*u**5 + 0 - 9*u**4 - 5/3*u**2 + 1/6*u.
u*(u - 1)*(3*u - 1)**3/6
Suppose 193 = 4*q + l + 172, 4*l = -5*q + 62. Solve -192/5*k - 2/5*k**3 - 576/5 + 44/5*k**q = 0 for k.
-2, 12
Let z(y) = y**4 + y**3 + 3*y**2 + y + 1. Let u(w) = 5*w**4 + 20*w**3 + 54*w**2 + 44*w + 17. Let x(f) = 3*u(f) - 12*z(f). Factor x(b).
3*(b + 1)**3*(b + 13)
Let s(r) be the second derivative of -r**6/30 - 3*r**5/20 + 17*r**4/4 - 37*r**3/6 - 45*r**2 - r - 104. Let s(q) = 0. Calculate q.
-9, -1, 2, 5
Let t be (-7)/1120*32*(16 + -1)/(-1). Let -10/23*w**4 - 4/23*w - 14/23*w**2 + 0 - 18/23*w**t - 2/23*w**5 = 0. What is w?
-2, -1, 0
Let y(n) be the third derivative of n**5/210 - n**4/21 - 64*n**3/7 + 12*n**2 - 7*n. Factor y(x).
2*(x - 16)*(x + 12)/7
Suppose 28*t + 17*t - 756 = -18*t. Let o(m) be the third derivative of -1/15*m**5 + t*m**2 + 0 + 1/3*m**4 + 16/3*m**3 + 0*m. Solve o(k) = 0 for k.
-2, 4
Let w(d) be the second derivative of d**6/45 + 167*d**5/15 + 27889*d**4/18 + 1250*d. Factor w(x).
2*x**2*(x + 167)**2/3
Let o be (-23 + 190/8)/(18/20). Let a(m) be the second derivative of 0 + 5/42*m**7 + 0*m**2 - 1/4*m**5 + 0*m**3 - 1/3*m**6 - 29*m + o*m**4. Factor a(n).
5*n**2*(n - 2)*(n - 1)*(n + 1)
Let u(c) = -2*c**2 - 10*c - 9. Let t = -549 - -546. Let w be u(t). Factor 2/7*p**5 + 0*p**w - 2/7*p + 0 - 4/7*p**2 + 4/7*p**4.
2*p*(p - 1)*(p + 1)**3/7
Let r = -1907/144 + 49/48. Let h = -12 - r. Factor -h*b**3 + 4/9 + 2/3*b + 0*b**2.
-2*(b - 2)*(b + 1)**2/9
Let q(w) = -w**3 - 3*w**2 + 15*w + 47. Let l be q(-4). Factor -4*p**3 - p**l + 103*p - 5*p**4 - 280*p**2 + 360*p**2 - 23*p.
-5*p*(p - 4)*(p + 1)*(p + 4)
Factor 2/11*b**4 + 2/11*b**3 + 0 - 2/11*b - 2/11*b**2.
2*b*(b - 1)*(b + 1)**2/11
Suppose 17216 = -44*l + 65132. Let d be (-10)/(-4)*(5 - l/225). Factor -1/10*h**2 - 3/10*h + d.
-(h - 1)*(h + 4)/10
Suppose -27*c = -32*c - 4*i + 10, 0 = -i. Let k(b) be the first derivative of 16/3*b**3 + b**4 + 8*b + 10*b**c - 6. Factor k(q).
4*(q + 1)**2*(q + 2)
Let m be ((-64)/80)/((-4)/50). Let l(x) be the second derivative of 0 - m*x - 5/3*x**3 - 5/12*x**4 + 0*x**2. Factor l(f).
-5*f*(f + 2)
Factor -1/3*w**2 - 34/3*w + 289.
-(w - 17)*(w + 51)/3
Let g(w) be the first derivative of w**3/9 + 3134*w**2/3 + 9821956*w/3 + 1615. Factor g(h).
(h + 3134)**2/3
Let f(a) = 25*a**2 - 594*a + 9809. Let g = 779 + -782. Let k(o) = 9*o**2 - 198*o + 3270. Let d(z) = g*f(z) + 8*k(z). Factor d(h).
-3*(h - 33)**2
Let m(r) = r + 7. Let h be m(-2). Factor -98*x**5 + 2*x + 196*x**h + x**3 - 96*x**5 - 5*x**3.
2*x*(x - 1)**2*(x + 1)**2
Let y(g) be the second derivative of -50*g - 9/11*g**2 + 0 - 1/165*g**6 + 5/33*g**4 - 8/33*g**3 + 4/55*g**5. Suppose y(i) = 0. What is i?
-1, 1, 9
Let y = 3/6892 - -6254487/6892. Let t = y + -907. Suppose 1/2*m**2 + 1/4*m**3 - 1/4*m - t = 0. Calculate m.
-2, -1, 1
Let g(i) be the second derivative of -23*i + 1 + 1/4*i**4 + 5547/2*i**2 + 43*i**3. Factor g(t).
3*(t + 43)**2
Let d(p) be the first derivative of p**5/420 - 17*p**4/84 + 289*p**3/42 - 15*p**2 + 15. Let o(l) be the second derivative of d(l). Let o(u) = 0. Calculate u.
17
Let u(p) be the first derivative of -2*p**4/7 + 26*p**3/21 - 4*p**2/7 - 47*p - 111. Let a(b) be the first derivative of u(b). Factor a(x).
-4*(x - 2)*(6*x - 1)/7
Let h(g) be the second derivative of g**5/110 - 79*g**4/66 + 34*g**3/3 - 296*g**2/11 + 3019*g. Solve h(j) = 0.
1, 4, 74
Let u = -81/472 + 975395/1416. Let m = u - 678. Determine y, given that -m*y**2 - 10/3*y + 4/3 - 6*y**3 = 0.
-1, 2/9
Let d be (-3948)/(-1645) - 6/(-10). Let l(w) be the first derivative of 27/8*w**2 - 4 + 15/16*w**4 + d*w**3 + 3/2*w. Determine h, given that l(h) = 0.
-1, -2/5
Factor -553*g - 845*g**2 - 277 + 1506*g**2 - 936*g**2 + g**3.
(g - 277)*(g + 1)**2
Let n = -48/1043 - -95227/52150. Let m = 18/25 + n. Determine l so that 45/4*l**2 + 5/4*l**4 + m + 25/4*l**3 + 35/4*l = 0.
-2, -1
Suppose 142*d + 64 = 150*d. Let w(j) be the second derivative of -3*j**2 + 1/4*j**4 + 0 + 1/2*j**3 + d*j. Let w(f) = 0. What is f?
-2, 1
Let i = 8348/33 - 2768/11. Find y such that 0 + 0*y - 4/3*y**5 + 1/3*y**4 - 1/3*y**2 + i*y**3 = 0.
-1, 0, 1/4, 1
Suppose g + i - 24 = 0, -4*g - 4*i + 96 = -5*i. Let 408*m**2 + 2*m + 72*m**4 + 0*m**3 - 386*m**2 + 80*m**3 + g*m**4 = 0. Calculate m.
-1/3, -1/4, 0
Let r be (((-3)/6)/(1/14))/(-1). Let l(y) = -13*y**3 - 41*y**2 - 42*y. Let d(t) = 4*t**3 + 14*t**2 + 14*t. Let s(j) = r*d(j) + 2*l(j). Factor s(u).
2*u*(u + 1)*(u + 7)
Suppose -4*s = 3*y + 59, 2821*s - 2814*s + 104 = -5*y. Solve 4/9*j**y + 2/9*j**4 + 0 - 8/9*j**2 - 16/9*j = 0.
-2, 0, 2
Suppose -g - g - 58 = 0. Let u = g - -35. Solve f**2 + f**2 - 16 + 0*f - u*f**2 - 16*f = 0.
-2
Let u(z) be the third d