 + 139)
Suppose -104*d + 103*d + 3*r - 21 = 0, 4*d + 3*r - 36 = 0. Let c be (-48)/(-102) + (0 - 0). Factor -c + 2/17*n**d - 12/17*n**2 + 18/17*n.
2*(n - 4)*(n - 1)**2/17
Let u be 19/2 + -6 - (-17 + 1). Let 3*f - 27/2*f**2 + 0 - 9*f**4 + u*f**3 = 0. What is f?
0, 1/2, 2/3, 1
Let i(s) be the first derivative of s**4/24 - 35*s**3/9 - 217*s**2/12 - 73*s/3 - 2908. Factor i(a).
(a - 73)*(a + 1)*(a + 2)/6
Let l = 92 - 22. Suppose 2*d - l = 2*v, 2*d + 2*v + 2*v = 52. Solve -2 - 7*r**3 + 3*r**3 - 28*r + 2*r**4 + d*r = 0.
-1, 1
Solve 32459563*o**3 - 32459607*o**3 + 351*o**2 - 194*o - o**4 - 112*o = 0 for o.
-51, 0, 1, 6
Find r, given that 9/2*r - 4*r**2 - 1/2*r**3 + 36 = 0.
-8, -3, 3
Let y(z) = 29*z - 302. Let x be y(-12). Let v be 100/x + (1 - 86/117). Determine s, given that 5/9*s**3 - 4/9*s - 10/9*s**2 - v*s**5 + 8/9 + 2/9*s**4 = 0.
-2, -1, 1, 2
Determine w so that -1584/5 - 141/5*w**3 - 3/5*w**4 + 3021/5*w - 1293/5*w**2 = 0.
-33, -16, 1
Let g(k) = -k**3 + 10*k**2 + 17*k - 11. Let n be g(-2). Suppose -5*x = -4 - 6. What is j in 0 + 2/23*j**n - 6/23*j**x + 4/23*j = 0?
0, 1, 2
Let h(u) = u**3 - 11*u**2 - 11*u - 3. Suppose 3*n - 6 = 30. Let w be h(n). Solve 5 - 15*i**4 - i**3 + 10*i - w*i**3 + 5*i - 5*i**5 + 13*i**2 - 3*i**2 = 0.
-1, 1
Let k(j) be the first derivative of j**5/150 - 11*j**4/15 + 484*j**3/15 - 8*j**2 + j + 64. Let s(y) be the second derivative of k(y). Factor s(p).
2*(p - 22)**2/5
Factor y**3 + 7077*y**2 - 14189*y**2 + 71*y - 35 + 7075*y**2.
(y - 35)*(y - 1)**2
Let f(k) be the third derivative of k**6/24 - 5*k**5/3 - 35*k**4/6 + 3920*k**3/3 + 2948*k**2. Factor f(p).
5*(p - 14)**2*(p + 8)
Suppose 5*k - 4 + 0 = c, 2*k + 40 = 3*c. Suppose c = 24*p - 20*p. Determine n so that -n**2 + p*n**2 + 10 + 32*n**2 + 45*n = 0.
-1, -2/7
Let f(l) be the first derivative of -l**6/2160 - l**5/180 + 5*l**3 - 35. Let k(x) be the third derivative of f(x). Suppose k(z) = 0. What is z?
-4, 0
Suppose -97*j = -187*j + 94*j. Let t(l) be the third derivative of 0 - 1/35*l**7 + 5*l**2 + 0*l**5 + 1/30*l**6 + 0*l**4 + j*l**3 + 0*l. Factor t(w).
-2*w**3*(3*w - 2)
Let t = -583 + 585. Let j = -273 + 568. Factor -5*q**3 + j - 5*q - 295 - 6*q**t - 4*q**2.
-5*q*(q + 1)**2
Let j(m) be the second derivative of -8*m**2 + 1/21*m**7 + 79/40*m**5 + 11/12*m**4 - 7/12*m**6 - 32/3*m**3 + 0 + 87*m. Determine l so that j(l) = 0.
-1, -1/4, 2, 4
Suppose l = o - 10, 39 = 4*o + l - 6. Suppose -2*d = -3*a + o - 9, a = -3*d + 8. What is s in 6/7*s**a + 2/7*s**3 - 2/7*s - 2/7 - 4/7*s**4 = 0?
-1, -1/2, 1
Suppose -2*z = -12*r + 13*r - 13, -4*z + 20 = -4*r. Solve -17*b**2 - 43*b + z + 14*b**2 - 2*b - 6 = 0.
-15, 0
Factor 0*q + 248/11*q**2 + 0 - 2/11*q**5 + 70/11*q**4 - 256/11*q**3.
-2*q**2*(q - 31)*(q - 2)**2/11
Let c(v) be the second derivative of 2/5*v**5 - 11 - 1/30*v**6 + v + 0*v**4 - 64/3*v**3 + 128*v**2. Factor c(a).
-(a - 4)**3*(a + 4)
Let h(r) be the first derivative of 3*r**5/5 + 15*r**4/2 - 23*r**3 + 18*r**2 + 159. Factor h(g).
3*g*(g - 1)**2*(g + 12)
Let s(v) be the second derivative of -13/50*v**5 - 1/210*v**7 + 3/50*v**6 + 22*v + 0 + 17/30*v**4 - 7/10*v**3 + 1/2*v**2. What is n in s(n) = 0?
1, 5
Let i be (6 - 455/42)*-2 - (-27)/(-3). Find x, given that 4 - i*x**3 + 4*x**2 - 22/3*x = 0.
1, 2, 3
Suppose 11*t = 7*t + 16. Suppose 12 = -3*y + t*y - 4*l, l + 10 = 2*y. Determine v so that 3*v**2 - 20*v**y + 15*v**4 + 2*v**2 = 0.
-1, 0, 1
Determine f, given that -2 - 25/3*f + 5*f**3 + 0*f**2 - 4/3*f**4 = 0.
-1, -1/4, 2, 3
Let t(s) be the second derivative of -s**7/2940 + 4*s**6/315 - s**5/28 - 31*s**3/3 + 4*s. Let x(b) be the second derivative of t(b). Solve x(w) = 0.
0, 1, 15
Let a = -243887/4 + 61521. Factor -a + 1/4*f**3 + 507/4*f - 39/4*f**2.
(f - 13)**3/4
Let m(f) be the third derivative of f**5/120 - 7*f**4/12 - 55*f**3/4 - 3887*f**2. Factor m(x).
(x - 33)*(x + 5)/2
Suppose 2*v + 18 = -2*w, 2*w = -v - 17 + 11. Let r be (-22 - 28)/(v/10). Determine n, given that -5/3*n**2 - r + 50/3*n = 0.
5
Let u be -15 + 6 + 438/(-1971) + (-334)/(-45) + 2. Factor -58/5*t - 841/5 - u*t**2.
-(t + 29)**2/5
Factor -49*q + 1/7*q**2 + 0.
q*(q - 343)/7
Factor -50/11*f**3 - 14/11*f + 0 + 32*f**2.
-2*f*(f - 7)*(25*f - 1)/11
Let f(r) = 126*r + 16380. Let u be f(-130). What is q in u*q**3 + 0*q + 2/5 + 1/10*q**4 - 1/2*q**2 = 0?
-2, -1, 1, 2
Suppose -3 - 9 = -6*d. Let i(m) = -m**3 - m**2 + m + 3. Let h be i(0). Factor -11*v**d + 106*v**2 - 4*v**5 - 39*v**2 - 4*v**4 + 44*v + 12 + 24*v**h + 0*v**5.
-4*(v - 3)*(v + 1)**4
Let -2*p**3 + 2859*p + 4*p**3 - 1223 + 858*p**2 - 760 + 263 - 3723*p = 0. Calculate p.
-430, -1, 2
Let i(l) be the first derivative of -3*l**4/4 + 2*l**3 - 3*l**2/2 - 821. Factor i(x).
-3*x*(x - 1)**2
Let z = 663866 - 3983185/6. Determine f, given that 4/3*f**2 - 10/3 + 1/6*f**3 + z*f = 0.
-5, -4, 1
Let f(i) be the second derivative of -i**4/96 - 11*i**3/6 - 415*i**2/16 + 10*i + 304. Factor f(q).
-(q + 5)*(q + 83)/8
Let l(a) = -24*a**2 - 62*a. Let w(d) = 5*d**2 + 11*d. Let i(p) = 6*l(p) + 29*w(p). Solve i(z) = 0 for z.
0, 53
Suppose 166*v - 97*v = 0. Let y(l) be the third derivative of v + 0*l + 17*l**2 + 3/5*l**5 + 1/210*l**7 + 1/10*l**6 + 0*l**4 + 0*l**3. Factor y(p).
p**2*(p + 6)**2
Let l = -1129 + 1131. Let o be (-22)/154*-10*l. Determine m, given that 12/7 + 4/7*m**2 - 4/7*m**3 + o*m = 0.
-1, 3
Let t(x) = -109*x**2 + 1307*x + 13. Let l be t(12). Suppose 0 = -3*w + 7 - 1. Solve 5/4*n**2 + w*n - l = 0 for n.
-2, 2/5
Let i(a) be the second derivative of a**7/630 - a**6/30 + 15*a**4/4 + 23*a. Let r(d) be the third derivative of i(d). Factor r(t).
4*t*(t - 6)
Let w be 15/6 - (670/60 - (0 + 2 + 7)). Find d, given that 0 - 1/6*d**5 + 1/6*d**4 + 0*d + w*d**3 + 0*d**2 = 0.
-1, 0, 2
Let i be 14/(-581) - 15433/(-10126). Factor -141/2*o**2 + 9/2*o**4 - 39/2*o**3 + i*o**5 - 72*o - 24.
3*(o - 4)*(o + 1)**3*(o + 4)/2
Let t = 616/1503 + -94/501. Factor 2/9*i**5 - 2/9*i**3 - t*i**4 + 2/9*i**2 + 0 + 0*i.
2*i**2*(i - 1)**2*(i + 1)/9
Let u(b) be the third derivative of b**11/166320 - b**10/75600 + 31*b**5/60 + 23*b**2 - 1. Let m(l) be the third derivative of u(l). Factor m(k).
2*k**4*(k - 1)
Let z = -21221 + 21224. Suppose 0 + 64/3*l**2 - 32/3*l - 2/3*l**5 - 16*l**z + 16/3*l**4 = 0. What is l?
0, 2
Let j(n) be the second derivative of 0 + 320*n**2 + 80/3*n**3 - 65/2*n**4 + 96*n + 17/4*n**5 - 1/6*n**6. Factor j(a).
-5*(a - 8)**2*(a - 2)*(a + 1)
Suppose 5*r - 5*h + 60 = 0, 0*r + 3*h - 26 = 2*r. Let q be (-36)/(-90) - 226/r. Factor 4 - 13 - 2*f**2 - q + 4*f + 12*f.
-2*(f - 4)**2
Let x(l) = 18*l**2 + 9*l - 13. Let i be x(-5). Suppose 0 = 9*a + 374 - i. Solve 2/11 - 4/11*v**a - 2/11*v = 0.
-1, 1/2
Let o = 133514 + -133510. What is v in 1/7*v**o + 0*v - 12/7*v**2 + 0 + 11/7*v**3 = 0?
-12, 0, 1
Suppose 18124 + 1028 = 1197*m. Determine g so that -207/7*g - 456/7*g**2 - 25/7 - m*g**3 = 0.
-25/7, -1/4
Let v(p) be the third derivative of 3*p**6/80 + 97*p**5/40 - 1505*p**4/48 + 1813*p**3/12 - 349*p**2 + 2. Factor v(m).
(m + 37)*(3*m - 7)**2/2
Let d(s) be the second derivative of -2*s**7/147 - 34*s**6/105 - 253*s**5/140 + 51*s**4/14 - 27*s**3/14 + 896*s. Factor d(i).
-i*(i + 9)**2*(2*i - 1)**2/7
Let v(w) be the first derivative of -2*w**3/51 - 165*w**2 + 5612*w/17 + 3052. Find s such that v(s) = 0.
-2806, 1
Let w(b) be the second derivative of -b**5/16 - 155*b**4/48 - 215*b**3/12 - 35*b**2 + 739*b. Factor w(s).
-5*(s + 1)*(s + 2)*(s + 28)/4
Let o(l) be the third derivative of -4/35*l**5 - 15*l**2 + 3 + 0*l - 2/21*l**3 + 3/140*l**6 + 13/84*l**4. Factor o(t).
2*(t - 2)*(3*t - 1)**2/7
Let i(b) = -b**2 - 6*b + 21*b + 13 - 22*b. Let o(g) = -g**2 - 3*g + 7. Suppose 25 = -v - 4*v. Let q(j) = v*o(j) + 3*i(j). Factor q(t).
2*(t - 2)*(t - 1)
Let r = -69 - -146. Suppose r*d - 84 = 49*d. Suppose 0*y**2 + 0*y - 3/4*y**4 - 1/2*y**d + 0 - 1/4*y**5 = 0. Calculate y.
-2, -1, 0
Find r such that 556*r**2 - 12*r**3 + 150*r - 611*r**2 - 8*r**3 + 5*r**4 = 0.
-3, 0, 2, 5
Let h(t) be the third derivative of -22*t**4 - 5*t + 2/105*t**7 - 19*t**2 - 79/30*t**5 + 0 - 112/3*t**3 + 1/20*t**6. Let h(w) = 0. What is w?
-4, -1/2, 7
Factor 1199*x**3 + 504 + 1025*x + 371 + 145*x**2 - 598*x**3 - 606*x**3.
-5*(x - 35)*(x + 1)*(x + 5)
Let g(v) = -35*v**2 - 27*v - 2. Let s(n) be the third derivative of 53*n**5/30 + 41*n**4/12 + n**3 + n**2 + 40*n. Let w(b) =