12 + 11*b**3/6 - 4*b**2 + 13*b. Let k be o(10). Factor -4*i + k*i - 4 - 6*i + 0*i + 5*i**2.
(i - 2)*(5*i + 2)
Let t(v) be the first derivative of -3/8*v**4 + 0*v - 3/2*v**2 + 3/2*v**3 + 55. Find y such that t(y) = 0.
0, 1, 2
Let s(f) = -f**2 - 51*f - 724. Let k(i) = -i**2 - 25*i - 364. Let d(q) = -5*k(q) + 3*s(q). What is m in d(m) = 0?
-8, 22
Let i be (3 + -2)*0/25. Let d(u) be the second derivative of -9/10*u**5 + 9/50*u**6 + i + 23/10*u**4 + 27/10*u**2 - 33/10*u**3 + 13*u - 1/70*u**7. Factor d(k).
-3*(k - 3)**2*(k - 1)**3/5
Let i(f) be the second derivative of -5*f**4/12 - 65*f**3/6 - 105*f**2 + 258*f + 2. Factor i(z).
-5*(z + 6)*(z + 7)
Let u be (-724)/(-110) + (-130)/715 - 5. Suppose -u - 13/5*v - v**2 + 1/5*v**3 = 0. What is v?
-1, 7
Let i(m) be the first derivative of -m**6/60 + 7*m**5/6 - 24*m**4 - 108*m**3 + 6*m**2 + m + 44. Let t(v) be the second derivative of i(v). Factor t(s).
-2*(s - 18)**2*(s + 1)
Let n(u) be the second derivative of -10*u**2 + 2 + 12*u + 20/3*u**3 + 1/4*u**5 - 25/12*u**4. Solve n(w) = 0 for w.
1, 2
Factor 755*i**3 - 506*i**2 - 218*i**2 - 759*i**3.
-4*i**2*(i + 181)
Determine d, given that 43590*d**2 + 54050*d**3 + 112460*d**2 + 9359 + 36029 + 5617 + 5*d**5 + 154025*d + 1025*d**4 = 0.
-101, -1
Let c(q) be the first derivative of 2*q**3/3 + 21*q**2 - 980*q + 10434. Factor c(f).
2*(f - 14)*(f + 35)
Let a = 5788 + -57877/10. Let k(y) be the first derivative of 2/5*y + a*y**2 - 6 + 1/15*y**3. Factor k(r).
(r + 1)*(r + 2)/5
Let k = -21661 - -21685. Let c(v) be the third derivative of 0*v + 0*v**3 + 0 + 1/300*v**5 - k*v**2 + 1/40*v**4. Find l, given that c(l) = 0.
-3, 0
Let p(s) = -s**2 - s - 4. Let u(q) = 3*q**3 - 736*q**2 + 43907*q + 90758. Let g(b) = 4*p(b) - u(b). Factor g(l).
-3*(l - 123)**2*(l + 2)
Let x(n) be the first derivative of -3*n**3/8 + 15*n**2/16 + 3*n/4 - 576. Factor x(d).
-3*(d - 2)*(3*d + 1)/8
Let t(s) be the third derivative of -s**8/336 + 4*s**7/105 - 11*s**6/60 + 7*s**5/15 - 17*s**4/24 + 2*s**3/3 - 7*s**2 + 14*s. Factor t(d).
-(d - 4)*(d - 1)**4
Suppose 5*v = -3*s + 29, -4*v + 6 = -2*s - v. Determine a, given that -11*a**4 + 88*a**s - 2*a**5 + 99*a**2 + 16*a**4 + 6*a**4 + 5*a**4 - 3*a**2 = 0.
-2, 0, 12
Factor 3*o**3 - 108*o**2 - 32*o - 2510 + 251*o + 2400 - 4*o**3.
-(o - 1)**2*(o + 110)
Let h be 6 + (-2 - -4)*-2. Let s(g) be the second derivative of -h*g**3 + 9/20*g**5 - 5/4*g**4 + 0 + 6*g**2 - 3*g. Suppose s(m) = 0. What is m?
-1, 2/3, 2
Let k(r) be the first derivative of r**4/24 + 13*r**3 + 233*r**2/12 - 11065. Factor k(o).
o*(o + 1)*(o + 233)/6
Factor 1707 + 3/2*l**2 - 1713/2*l.
3*(l - 569)*(l - 2)/2
Suppose 41 = -41*c + 16*c + 316. Let x(q) be the second derivative of 1/6*q**3 + 0*q**4 + c*q - 1/20*q**5 + 0 + 0*q**2. Let x(y) = 0. What is y?
-1, 0, 1
Let g be (-72)/(1 + (-15)/9). Factor -5*z**5 + 15*z**4 - 10*z**3 - 108*z + g*z.
-5*z**3*(z - 2)*(z - 1)
Let b(d) be the first derivative of -4*d**3/3 - 266*d**2 + 536*d - 2062. Factor b(t).
-4*(t - 1)*(t + 134)
Suppose 0 = -45*a + 71*a + 17446. Let x = a - -675. Let -2*h**2 + 2/3*h**x - 2/3*h + 4/3 + 2/3*h**3 = 0. What is h?
-2, -1, 1
Let n(x) = 3*x**2 + 15*x + 20. Let t be n(-2). Solve -10*u + 26*u - 309*u**t + 152*u**2 - 4*u**3 + 157*u**2 = 0 for u.
-2, 0, 2
Let m(g) = g**2 + 2*g + 1. Let j(x) = -4*x**2 + 934*x - 220903. Let h(b) = -5*j(b) - 15*m(b). Determine i so that h(i) = 0.
470
Let s(j) = -49*j**3 + 52*j**2 + 63*j + 6. Let t(i) = -98*i**3 + 105*i**2 + 117*i + 13. Let v(r) = 9*s(r) - 4*t(r). Factor v(q).
-(q - 2)*(q + 1)*(49*q + 1)
Let z be (50/(-15) + 4)*(0 + -96). Let p = z - -66. Let -1/6*r**3 + 0 + 1/6*r + 0*r**p = 0. What is r?
-1, 0, 1
Solve -725*i - 1072*i**2 + 1342 + 335*i + 48*i**3 - 694*i - 44*i**3 + 810 = 0 for i.
-2, 1, 269
Let w(b) be the third derivative of -b**4/4 + 59*b**3/3 + 8*b**2 + 9. Let r be w(19). Let -3/4*u**2 - 3/4*u**r + 0*u + 3/2*u**3 + 0 = 0. Calculate u.
0, 1
Let k = -103429/9 + 206867/18. Factor 0*z - 1/2 + k*z**2.
(z - 1)*(z + 1)/2
Suppose 0 = -0*k + k - 8. Solve 3*q**3 - 4*q**4 + k*q**5 - 6*q**2 + 0*q**5 + 19*q**4 - 2*q**5 = 0.
-2, -1, 0, 1/2
Suppose -6*z + 276 = 234. Let l be ((-11)/77 - (-1)/z)/(-1). Factor -1/3 + 1/2*x - 1/6*x**3 + l*x**2.
-(x - 1)**2*(x + 2)/6
Let b = 4147474/5 - 829490. Suppose -2/5*t**4 + 8/5*t**3 + b - 32/5*t + 2/5*t**2 = 0. What is t?
-2, 1, 2, 3
Let p(z) = 4*z**2 + 130*z - 38. Let v be p(-33). Suppose -9*i + 74 = v*i. Determine o, given that 0*o + 1/4*o**i - 1/4 = 0.
-1, 1
Suppose 2*b = -0*b - 2, -2*i + b + 5 = 0. Let 65*k**i + 75*k**3 - k - 4*k + k - 6*k = 0. What is k?
-1, 0, 2/15
Let l(i) = i**3 - 15*i**2 + 27*i - 11. Let t be l(13). Suppose 0 = t*n - 5 - 1. Factor -13*v**n - 20*v + 20*v**2 + 5*v**5 - 20*v**4 + 7*v**3 + 21*v**3.
5*v*(v - 2)**2*(v - 1)*(v + 1)
Suppose 0*j + 4*g - 40 = 3*j, -5*j = 2*g + 84. Let k be (j/6 + 2)*(-27)/17. Factor k*c + 2/17*c**4 + 0 + 6/17*c**2 - 10/17*c**3.
2*c*(c - 3)**2*(c + 1)/17
Let o(c) = 7*c**4 + 575*c**3 + 40*c**2 + 4*c + 4. Let a(n) = -5*n**4 - 576*n**3 - 30*n**2 - 3*n - 3. Let q(i) = 4*a(i) + 3*o(i). Find s, given that q(s) = 0.
0, 579
Find b, given that 2/5*b**3 + 18*b + 108/5 + 24/5*b**2 = 0.
-6, -3
Let p(l) = -5*l**2 + 3439*l + 3462. Let k(m) = -m + 2. Let s(b) = -6*k(b) + p(b). Factor s(c).
-5*(c - 690)*(c + 1)
Let y be (107/((-2996)/(-4088)))/12. Suppose -y*q**2 + 25/2*q - 1/3 = 0. What is q?
2/73, 1
Let p = 372 + -364. Let g be (75/(-10) + p)*6. Let 4/5*a + 8/5*a**g - 2/5*a**4 - 2*a**2 + 0 = 0. What is a?
0, 1, 2
Let l(r) = -8*r - 177. Let x be l(-35). Solve -x*g + 3*g**3 + 0*g**2 - 3*g**2 + 13*g + 0*g**2 = 0 for g.
-5, 0, 6
Let j(o) = -2*o**2 + 19*o - 9. Let p be j(6). Let z be p/22*76/22 + -5. Solve 0 - 2/11*w**2 - z*w = 0.
-1, 0
Suppose 13*c - 82 + 628 = 0. Let p be (-1)/(c/80) + (-46)/(-483). Factor 0 - 2*g**3 - 14/5*g**4 - 6/5*g**5 + 0*g - 2/5*g**p.
-2*g**2*(g + 1)**2*(3*g + 1)/5
Let k = -45276 - -316935/7. Factor 0*m + 9/7*m**4 - 12/7*m**3 + 0 + k*m**2.
3*m**2*(m - 1)*(3*m - 1)/7
Let t = -10277 + 10282. Let r(h) be the second derivative of 1/6*h**4 - 1/15*h**6 + 0*h**3 + 0*h**2 + 23*h + 0 + 0*h**t. Let r(w) = 0. What is w?
-1, 0, 1
Let q(i) = 41*i**3 + 209*i**2 + 568*i - 772. Let n(b) = -16*b**3 - 84*b**2 - 227*b + 309. Let l(k) = -23*n(k) - 9*q(k). Find v such that l(v) = 0.
-3, 1, 53
Let t be (-5 + -5)*(2 + (-15)/6). Solve -t*w**4 + 15*w**5 - 10*w**5 - 10*w**5 = 0.
-1, 0
Suppose 32 - 50 = -6*x. Let k(h) be the first derivative of -2/7*h + 1/14*h**4 - 2/7*h**x - 8 + 3/7*h**2. Let k(m) = 0. Calculate m.
1
Let p(h) be the first derivative of -h**4/22 - 4*h**3/33 + h**2 + 24*h/11 - 2453. Factor p(i).
-2*(i - 3)*(i + 1)*(i + 4)/11
Suppose 0 = 11*l + 19*l - 90. Factor -1155*y**2 - 44 - 66536*y**l - 1 + 66461*y**3 - 453*y.
-3*(y + 15)*(5*y + 1)**2
Let x(q) be the second derivative of -3*q**5/40 + 113*q**4/4 - 449*q**3/4 + 168*q**2 - 122*q + 1. Factor x(o).
-3*(o - 224)*(o - 1)**2/2
Let y = 180862/91 - 25830/13. Factor 0*a - 8/7*a**4 - y*a**2 + 2/7*a**5 + 10/7*a**3 + 0.
2*a**2*(a - 2)*(a - 1)**2/7
Let r(z) be the third derivative of 6*z**2 + 1/12*z**4 + 0*z**3 - 1/360*z**6 - 1/180*z**5 + 0 + 8*z. Factor r(k).
-k*(k - 2)*(k + 3)/3
Factor -2178 - 17581/2*v**2 - 8382*v - 1397*v**3 - 121/2*v**4.
-(v + 11)**2*(11*v + 6)**2/2
Let q = 0 - -4. Let k = -79 + 86. Find m, given that q*m**2 + k - 3*m - 15 - m + 0*m**2 = 0.
-1, 2
Determine b so that 1/3*b**5 + 25/3*b - 26/3*b**3 + 2/3*b**4 + 50/3 - 52/3*b**2 = 0.
-5, -2, -1, 1, 5
Let o(d) be the first derivative of d**5/90 - 5*d**4/54 + 4*d**3/27 - 75*d - 33. Let p(u) be the first derivative of o(u). Suppose p(b) = 0. Calculate b.
0, 1, 4
Let m be -37 - -13 - (-1880)/76. Let 136/19*n**2 - 100/19*n**3 + 10/19 - 68/19*n + 8/19*n**5 + m*n**4 = 0. Calculate n.
-5, 1/4, 1
Let d(t) be the third derivative of -11/12*t**3 + 23/96*t**4 + 0 + 137*t**2 - 1/240*t**5 + 0*t. Solve d(r) = 0 for r.
1, 22
Factor 1/11*r**2 + 1832/11*r + 839056/11.
(r + 916)**2/11
Let u(m) be the second derivative of 0 + 261*m - 325/3*m**3 - 5/12*m**4 - 21125/2*m**2. Factor u(d).
-5*(d + 65)**2
Let t(y) be the third derivative of -59*y**5/270 - 85*y**4/12 + 26*y**3/27 + 1267*y**2. Factor t(c).
-2*(c + 13)*(59*c - 2)/9
Suppose 1772*c - 3644*c = -1773*c - 297. Solve -2*x - 9/2*x**5 - 8*x**4 + 8*x**2 + 0 + 13/2*x**c = 0.
-2, -1, 0, 