 9/7*g**2 + 3/7*g**4 + 0 + m*g**3 - 27/7*g = 0.
-3, 0, 1
Let a(s) = -4*s**4 - 10*s**3 + 8*s**2 + 3*s - 6. Let k(n) = 2 + n**3 + 2344*n + n**4 - 2345*n + 0*n**3. Let c(y) = -a(y) - 3*k(y). Factor c(d).
d**2*(d - 1)*(d + 8)
Let t(g) = 2*g + 35. Let a be t(-16). Factor 5*y - 2*y**2 + 2*y - a*y + 20*y**2.
2*y*(9*y + 2)
Let l = 1095 - -443. Factor l*k - k**2 + 10404 + k**2 + 4*k**2 - 1130*k.
4*(k + 51)**2
Let f = -65 + 69. Let m = 31247/3 + -10414. Find o, given that 0 + 0*o + 10/3*o**3 + 5/3*o**f + m*o**2 = 0.
-1, 0
Let d be -3*154/105*97. Let c = d - -428. Suppose 12/5*q**3 - c*q**4 - 24/5 - 24/5*q + 18/5*q**2 = 0. Calculate q.
-1, 2
Let y(r) be the first derivative of 27/2*r**2 - 18*r + 83 - 1/15*r**5 - 5*r**3 + 11/12*r**4. Find f, given that y(f) = 0.
2, 3
Factor 0 + 1/4*g**4 + 3/4*g - 3/4*g**3 - 1/4*g**2.
g*(g - 3)*(g - 1)*(g + 1)/4
Factor -141/2*y**3 + 1/2*y**4 - 429/2*y**2 - 431/2*y - 72.
(y - 144)*(y + 1)**3/2
What is b in 1/9 + 29584/9*b**2 - 344/9*b = 0?
1/172
Let d(u) be the third derivative of u**8/25200 - u**7/630 + u**6/100 - 3*u**5/5 - 54*u**2. Let f(q) be the third derivative of d(q). Factor f(z).
4*(z - 9)*(z - 1)/5
Let d be (1 - 7/3)/((-6)/576). Let -d*z + 247*z - 125*z - 3*z**3 - 9*z**2 = 0. What is z?
-2, -1, 0
Let n be ((-27)/132)/(-3) + ((-208)/(-1144) - 0). What is m in n*m**2 + 7/2*m + 45/4 = 0?
-9, -5
Let n(k) be the third derivative of -6*k**2 + 0 + 1/30*k**5 + 7*k + 0*k**3 - 17/3*k**4. Factor n(j).
2*j*(j - 68)
Let x(i) be the first derivative of -26/11*i - 196 + 15/22*i**2 - 1/33*i**3. Factor x(w).
-(w - 13)*(w - 2)/11
Let h(x) = -x**3 + 47*x**2 + 55*x - 38. Let i(t) = -t**3 + 38*t**2 + 55*t - 38. Let d(j) = 6*h(j) - 7*i(j). Suppose d(p) = 0. Calculate p.
-19, 1, 2
Let x = -31047/7 - -62115/14. Suppose -x + 3*b**3 - 1/2*b**5 + b**2 + 1/2*b**4 - 5/2*b = 0. Calculate b.
-1, 1, 3
Let g(v) be the second derivative of -v**4/3 + 2608*v**3/3 - 850208*v**2 + 1435*v + 1. Solve g(z) = 0.
652
Factor -327 + 3*r**2 - 70*r - 8*r**2 + 6*r**2 + 87 - 6*r**2.
-5*(r + 6)*(r + 8)
Let c(l) = l**3 - l**2 + 1. Suppose -77*f + 79*f = 6. Let u(n) = 0*n + 21*n**2 - 28*n**2 + 7*n**3 + 3 - 24*n. Let z(a) = f*c(a) - u(a). Factor z(q).
-4*q*(q - 3)*(q + 2)
Suppose -2*p = -4*b - 1254, 0 = 5*p + 7*b - 10*b - 3156. Let q = p - 631. Find w, given that 4/7*w**q - 10/7*w**4 + 4/7*w**5 + 0*w + 2/7*w**3 + 0 = 0.
-1/2, 0, 1, 2
Let f(z) be the first derivative of 0*z**2 + 0*z - z**5 + 20/3*z**3 + 15/4*z**4 + 8. Suppose f(n) = 0. Calculate n.
-1, 0, 4
Let k be (-2)/16 + 31/248. Let t(l) be the first derivative of -1/30*l**6 - 3/20*l**4 + 0*l**2 + 3/25*l**5 + k*l + 1/15*l**3 + 13. Suppose t(b) = 0. What is b?
0, 1
Let h(n) = n**3 + 18*n**2 + 15*n - 31. Let i be h(-17). Factor 38*v**4 - 6 - 93*v**i - 5*v**4 + 12*v - 27*v + 45*v**2 + 36*v**2.
3*(v - 1)**3*(11*v + 2)
Let z be (5408/(-1248))/((-52)/8). Factor -z*h**3 + 4*h**2 + 5/3 - 1/3*h**4 - 14/3*h.
-(h - 1)**3*(h + 5)/3
Let t = 182 + -169. Solve 233 - 112*c + 155 - 9*c**2 + t*c**2 + 396 = 0 for c.
14
Let x be (-2975)/2100 - 42/(-24). What is k in 143*k**2 + x*k**4 + 1292/3*k + 1156/3 + 38/3*k**3 = 0?
-17, -2
Let r be (12/(-36))/(9/(-54)). Suppose -2*s + k + k - 4 = 0, s + 2*k - 13 = 0. Factor 18*p**s - 12*p**r + 19*p**4 - 18*p**4 + 216*p + 120*p**2.
p*(p + 6)**3
Determine c so that 150*c**3 - 135*c**4 + 28*c**2 - 20*c**3 + 159*c**3 - 25*c**3 - 16*c**2 = 0.
-2/45, 0, 2
Let r(v) be the second derivative of 2/45*v**6 + 1/9*v**3 - 3 - 1/3*v**4 + 2/3*v**2 + 1/30*v**5 - 20*v. Let r(y) = 0. Calculate y.
-2, -1/2, 1
Let t be 6 - (-9 + 5 + 7). Factor 69 - 136 + 55 + t*h**2.
3*(h - 2)*(h + 2)
Let i(h) be the second derivative of h**6/240 + h**5/5 + 4*h**4 - 37*h**3/6 + 30*h. Let y(d) be the second derivative of i(d). Determine z so that y(z) = 0.
-8
Let f be (76140/486 + -150)*(0 + (-3)/(-4)). Suppose -15/2*x**3 + f*x**2 + 30*x - 40 + 5/4*x**4 = 0. What is x?
-2, 2, 4
Let m(b) = -b**3 - b + 1. Let c(y) = -25*y**2 + y + 8 + 26 - 9*y**3 - 5*y**2 + 0*y. Let g(t) = -c(t) + 4*m(t). What is a in g(a) = 0?
-6, -1, 1
Let j(z) = -15*z**2 - 4*z**3 - 174*z + 186*z + 30 + 5*z**3. Let o be j(14). Factor -36/5*q + 108/5 + 3/5*q**o.
3*(q - 6)**2/5
Let m(z) = -7*z**3 - 56*z**2 + 857*z + 1922. Let g(f) = -9*f**3 - 55*f**2 + 862*f + 1922. Let w(s) = 4*g(s) - 5*m(s). Solve w(o) = 0.
-2, 31
Let o = 30 - 12. Suppose -2*s = 5*p - o, 0 = 2*s + 4*p - 5 - 11. Find j such that 2 - s*j**2 - 2 + j**2 - 3*j = 0.
-1, 0
Let i(n) be the third derivative of n**8/3360 + n**7/1680 - 139*n**5/60 - n**3/6 - 3*n**2 + 10. Let u(a) be the third derivative of i(a). Factor u(c).
3*c*(2*c + 1)
Let s(c) = c + 17. Let i = 69 + -76. Let f be s(i). Factor 4*h**2 + f*h + 6*h**2 - 3*h**2 - 15 - 2*h**2.
5*(h - 1)*(h + 3)
Let d = 91 + -88. Suppose -p + 4*p = y - 1, 0 = 5*y + d*p - 23. Factor 16 - y*h**2 + 6*h - 4*h**3 + 3*h + 7*h.
-4*(h - 2)*(h + 1)*(h + 2)
Let t be 9 - -8*((-44)/66)/(8/6). Let b(s) be the first derivative of -t*s - 22 - 5*s**2 + 5/2*s**4 + 0*s**3 + s**5. Factor b(a).
5*(a - 1)*(a + 1)**3
Let v(l) be the second derivative of -l**7/63 + 119*l**6/180 + 71*l**5/20 + 11*l**4/8 - 1076*l. What is n in v(n) = 0?
-3, -1/4, 0, 33
Let h(d) = -d**3 + d**2 + d + 1. Let o(z) = -15*z**3 - z**2 - 42*z - 46. Let i(r) = 42*h(r) - 3*o(r). What is u in i(u) = 0?
-10, -3, -2
Suppose w = 5*w. Find y such that 7*y**4 - 6*y**4 - 2*y**4 + w*y**4 + 9*y**3 = 0.
0, 9
Suppose 1314 = -12*j - 618. Let d = 161 + j. Determine u, given that 0*u - 4/21*u**4 + 0 - 2/21*u**5 + 0*u**3 + d*u**2 = 0.
-2, 0
Solve 12103441/2 + 1/2*m**2 - 3479*m = 0 for m.
3479
Let y(m) = -6*m**3 - 633*m**2 + 975*m + 648. Let p(j) = -12*j**3 - 1268*j**2 + 1951*j + 1296. Let s(b) = -3*p(b) + 5*y(b). Factor s(r).
3*(r - 2)*(r + 108)*(2*r + 1)
Let f(n) be the second derivative of -33/20*n**5 - 2*n**3 - 227*n + 1 + 7/30*n**6 - 4*n**2 + 23/6*n**4. Find l such that f(l) = 0.
-2/7, 1, 2
Let q(r) be the third derivative of -r**6/24 - 13*r**5/4 - 100*r**4 - 4480*r**3/3 - 6*r**2 - 114. Factor q(z).
-5*(z + 7)*(z + 16)**2
Let g(q) be the second derivative of q**7/21 + 599*q + 2. Determine n so that g(n) = 0.
0
Let b(j) be the second derivative of 37*j**3/6 - 37*j**2 + 179*j. Let d be b(2). Suppose 1/2*u**3 - 3/4*u**2 + d + 1/4*u**4 + 0*u = 0. Calculate u.
-3, 0, 1
Let k(v) be the first derivative of v**5 + 0*v - 2*v**4 - 115 - 4*v**3 + 1/6*v**6 + 0*v**2. Factor k(y).
y**2*(y - 2)*(y + 1)*(y + 6)
Let v(z) be the second derivative of -z**7/70 + z**6/40 + z**5/4 + 3*z**4/8 - 59*z**2/2 + 22*z + 2. Let d(q) be the first derivative of v(q). Factor d(p).
-3*p*(p - 3)*(p + 1)**2
Let y(v) be the second derivative of v**4/36 - 94*v**3/9 + 4418*v**2/3 - v - 117. What is m in y(m) = 0?
94
Let v(d) = -5*d**2 - 40*d - 3. Let f = 962 + -442. Let m(x) = 81*x**2 - 19*x**2 + 40 + 3*x**2 + f*x. Let w(b) = 3*m(b) + 40*v(b). Factor w(l).
-5*l*(l + 8)
Suppose -47/6*y**4 + 8/3*y**3 + 0 - 2*y + 47/6*y**2 - 2/3*y**5 = 0. What is y?
-12, -1, 0, 1/4, 1
Let m(w) = w**3 + 11*w**2 - 30*w - 34. Let i be m(-13). Factor 25*t**2 + 2 - 6*t + i - 54*t.
5*(t - 2)*(5*t - 2)
Let p(b) = 9*b**3 - 207*b**2 + 323*b. Let w(n) = -11*n**3 + 207*n**2 - 346*n. Let c(u) = -6*p(u) - 5*w(u). Suppose c(s) = 0. Calculate s.
-208, 0, 1
Let t = 78 - 77. Suppose 0 = 10*c + t - 31. Factor -4*f**4 + f + 2*f**3 + f + 2*f**c + 5*f**4 + 5*f**2.
f*(f + 1)**2*(f + 2)
Let y(z) = -16*z**3 - 26*z**2 - 29*z - 4. Let r be (54/36)/((-2)/(-20)). Let i(w) = -2*w**3 + w**2. Let j(n) = r*i(n) - 3*y(n). Factor j(o).
3*(o + 1)*(o + 4)*(6*o + 1)
Suppose -7154*w + 7152*w + 3*w**2 + 7*w**2 + w**2 = 0. What is w?
0, 2/11
Let u(k) be the third derivative of -2*k**8/21 - 36*k**7/35 - 7*k**6/2 - 71*k**5/15 - 2*k**4 - 310*k**2 - 1. What is y in u(y) = 0?
-4, -3/2, -1, -1/4, 0
Let b(g) be the first derivative of g**4/8 + 77*g**3 + 53361*g**2/4 + 6070. Factor b(r).
r*(r + 231)**2/2
Let r(d) be the third derivative of -d**5/270 + 200*d**4/27 - 160000*d**3/27 + 1140*d**2. Factor r(n).
-2*(n - 400)**2/9
Let f(p) = -2*p**3 - 19*p**2 + 93*p + 407. Let w(z) = z**3 + 2*z**2 - 6*z + 2. Let s(i) = -f(i) + w(i). Factor s(x).
3*(x - 5)*(x + 3)*(x + 9)
Suppose 1875 = 31*t + 263. Suppose -t = -12*w - w. Find v, given that -2/3*v**w - 4*v**5 + 2*v**2 + 22/3*v**3 - 10/3*v - 4/3 = 0.
-1, -2/3, -1/2, 1
Let g(f) be the 