c(j) = 0.
-6, -1, 0, 4
Factor -68*b**3 + 49*b + 1540*b**4 + 44*b**2 + 192 + 259*b - 1536*b**4.
4*(b - 16)*(b - 3)*(b + 1)**2
Let d = -82 - -82. Determine w, given that -17*w**2 - 19 + 363*w + w**3 - 400*w + d = 0.
-1, 19
Factor -114242/19*q**2 + 956/19*q**3 + 0 + 0*q - 2/19*q**4.
-2*q**2*(q - 239)**2/19
Find q, given that -96*q - 200*q**3 - 124*q**4 + 10610 + 56*q**5 + 496*q**2 - 10610 = 0.
-2, 0, 3/14, 2
Let g be 3/4*3080/462. Let a(t) be the first derivative of 0*t**3 + 4 + 2/75*t**g - 1/15*t**4 + 2/15*t**2 - 2/15*t. Determine l so that a(l) = 0.
-1, 1
Let y(o) = 11*o**2 + 28*o + 47. Let m(b) = -300*b**2 - 755*b - 1280. Let j(q) = -2*m(q) - 55*y(q). Determine g so that j(g) = 0.
-5, -1
Let v = -312293/5 + 62459. Factor 1/5*k**2 - 8/5 - v*k.
(k - 4)*(k + 2)/5
Suppose 0 = 119*i - 115*i + 2*b - 62, b = 5*i - 11. Solve 3/4*l**2 - 27/4 - i*l = 0 for l.
-1, 9
Let f(l) be the first derivative of 0*l + 1/35*l**5 + 0*l**2 + 19 + 0*l**3 - 5/28*l**4. Suppose f(n) = 0. Calculate n.
0, 5
Let a = 15567/2 - 140075/18. Factor 0*b - 2/9*b**4 - 20/9*b**2 + a*b**3 + 0.
-2*b**2*(b - 5)*(b - 2)/9
Suppose 593*n - 1236 + 846 - 1389 = 0. Suppose 4*l + 0*l = 8. Solve 6/5*u - 2/5*u**n + 0*u**l + 4/5 = 0.
-1, 2
Let u be 6/4 - (1490/(-140) - -11). Let c(b) be the first derivative of 6/7*b**3 + 20/7*b**2 + u*b + 13. Factor c(p).
2*(p + 2)*(9*p + 2)/7
Let g(c) be the first derivative of 7*c**4/16 + 5*c**3 + 18*c**2 + 16*c - 618. What is n in g(n) = 0?
-4, -4/7
Let o be (434/(-155))/(6/(-100)). Let m = 301/6 - o. Solve 5/2*n + m*n**2 - 1 = 0.
-1, 2/7
Let h be 2/6 + (-202)/(-6). Let c = 1448 - 1436. Suppose 15*i - 2 - h*i + 5*i**2 + c + 4*i = 0. Calculate i.
1, 2
Let l be 2/(-24) - 4/6 - 42399/(-8076). Factor 3/2*y**3 + l*y + 0 - 6*y**2.
3*y*(y - 3)*(y - 1)/2
Suppose -187*n - 85 - 161 = -620. Factor 1/5*p**5 + 0 + 0*p + 8/5*p**3 + p**4 + 4/5*p**n.
p**2*(p + 1)*(p + 2)**2/5
Let x(a) = a**2 - 60*a - 11. Let o(p) = 1 + 12*p + 7 - 6. Let h(i) = 22*o(i) + 4*x(i). Find t, given that h(t) = 0.
-6, 0
Suppose -142*o - 6 = -140*o. Let q be (-4)/40*-6*(-2)/o. Factor 4/5 + 6/5*d + q*d**2.
2*(d + 1)*(d + 2)/5
Let s(r) = 20*r**3 - 71*r**2 - 34*r - 8. Let b be s(4). Determine m so that -1/3*m**2 - 25/3*m + b = 0.
-25, 0
Let f(v) be the third derivative of -v**6/150 - 52*v**5/25 - 103*v**4/10 - 308*v**3/15 + 2*v**2 - v + 642. Find y such that f(y) = 0.
-154, -1
Let 529*c**2 - 288*c**2 - 19990*c - 246*c**2 - 8611971 - 11368034 = 0. What is c?
-1999
Suppose 10*z - 124 = -94. Find c, given that c**5 - 6*c**5 + 35*c**2 + 19*c**z + 0*c**5 - 14*c**3 - 35*c**4 = 0.
-7, -1, 0, 1
Let n be -3 + 5477/(-14) - (-20)/(-70). Let p = n + 395. Solve p - 2*k**3 - k - 7/2*k**2 = 0 for k.
-1, 1/4
Let z(l) = -7*l**3 + 4*l**2 - 100*l + 120. Let n(m) = 40*m**3 - 25*m**2 + 600*m - 720. Suppose 0 = -2*k + 63 - 51. Let q(y) = k*n(y) + 35*z(y). Factor q(c).
-5*(c - 2)**2*(c + 6)
Let r(i) be the first derivative of -3/4*i**4 - 5/2*i**6 + 0*i**2 + 0*i + 0*i**3 + 86 - 18/5*i**5. Suppose r(w) = 0. Calculate w.
-1, -1/5, 0
Find q such that -8016/11*q**2 + 98778/11*q + 40804/11 + 160/11*q**3 = 0.
-2/5, 101/4
Solve -4/13*q**5 - 42/13*q**2 - 4*q**3 + 48/13 + 92/13*q + 30/13*q**4 = 0 for q.
-1, -1/2, 2, 3, 4
Let v(s) be the third derivative of s**6/240 - 11*s**5/20 - 23*s**4/4 - 70*s**3/3 + 1181*s**2. Factor v(g).
(g - 70)*(g + 2)**2/2
Let y(p) be the first derivative of 42 - 5*p**2 + 5/3*p**3 + 0*p. Factor y(q).
5*q*(q - 2)
Let s(b) be the second derivative of -10/3*b**3 + 0*b**2 - 5/4*b**5 - 138 - 10/3*b**4 - 1/6*b**6 + 2*b. Factor s(y).
-5*y*(y + 1)*(y + 2)**2
Let 117*s - 105 + 12*s**2 - 92 - 235 + 2*s**3 - 189*s = 0. What is s?
-6, 6
Factor 11088/5 + 138/5*f - 6/5*f**2.
-6*(f - 56)*(f + 33)/5
Let c be ((-2)/(-14))/(((-856)/(-1712))/(1/2)). Factor 18/7*g**2 + 5/7 - 8/7*g**3 + c*g**4 - 16/7*g.
(g - 5)*(g - 1)**3/7
Let y be 20/15*53/3445*(-15)/(-4). Let x(l) be the first derivative of -7 - 2/39*l**3 + y*l**2 + 4/13*l. Factor x(n).
-2*(n - 2)*(n + 1)/13
Suppose 2*q - 1380 = 48*q. Let f be (-235)/(-350) + ((-117)/q - 4). Solve -1/7*a**2 + 5/7*a**4 - 8/7*a + 1/7*a**5 - f + a**3 = 0 for a.
-2, -1, 1
Let n(d) be the second derivative of -d**5/10 + 5*d**4/3 - 23*d**3/3 + 14*d**2 - 2941*d. Determine w so that n(w) = 0.
1, 2, 7
Let z = -9831675/11 + 893791. Find f such that 2/11*f**4 + z*f**2 + 18/11*f**3 - 90/11*f - 100/11 = 0.
-5, -1, 2
Suppose -44*a**2 - 729*a - 100 - 2*a**3 - 716*a + 2277*a - 686*a = 0. Calculate a.
-25, 1, 2
Suppose 0 = 26*m - 24*m + 23*m. Let l(h) be the third derivative of 0*h**6 + 1/1050*h**7 + h**2 + 1/30*h**3 + 0 - 1/150*h**5 + 0*h**4 + m*h. Factor l(k).
(k - 1)**2*(k + 1)**2/5
Factor 24/5*v**2 + 3/5*v**3 - 84 - 39/5*v.
3*(v - 4)*(v + 5)*(v + 7)/5
Let c = -60 + 70. Suppose -3*x + 0*y + y = -11, -2*y - c = 0. Factor 0 - 12*j + 6 - 10 - 10 + 2*j**x.
2*(j - 7)*(j + 1)
Let w(m) be the first derivative of -m**6/12 + 29*m**5/10 - 119*m**4/4 + 139*m**3/3 + 1391*m**2/4 + 845*m/2 + 8770. What is a in w(a) = 0?
-1, 5, 13
Let a(b) = -5*b**3 - 122*b**2 - 245*b - 128. Let z(r) = -2*r**2 + 2. Let q(x) = a(x) + 4*z(x). Factor q(k).
-5*(k + 1)**2*(k + 24)
Let 0 - 8/9*c + 2/9*c**2 = 0. Calculate c.
0, 4
Let c(m) = 5*m - 63. Let y be c(14). Suppose -y*s + 8*s - 4*w = 5, -4*w = 0. Find b, given that 8*b**2 - 10 - s + b**3 + 8*b - 1 - b**2 = 0.
-4, 1
Let w be ((-52)/91 - 0)/((48/(-42))/4). Factor 116/9*q**w + 896/9*q + 4/9*q**3 + 784/9.
4*(q + 1)*(q + 14)**2/9
Factor -46/3*p + 1/9*p**2 + 529.
(p - 69)**2/9
Let q(i) be the second derivative of 192/5*i**5 + 0*i**2 - 16/5*i**6 - 512/3*i**4 + 3*i + 0 + 0*i**3 + 2/21*i**7. What is h in q(h) = 0?
0, 8
Let x = 90995/60662 + -1/30331. Determine h, given that x*h**4 + 3/2*h**3 - 9*h**2 - 6*h + 12 = 0.
-2, 1, 2
Let u(q) = -2*q**3 - 12*q**2 + 10*q - 6. Let x be u(-7). Find f such that -12*f - 23 - x + 77 - 24 + 4*f**2 = 0.
1, 2
Let b(m) = m**5 - 3*m**4 + 7*m**3 + 3*m**2 - 4. Let n(i) = -i**5 + 3*i**4 - 6*i**3 - 2*i**2 + 3. Let s = -181 + 178. Let p(w) = s*b(w) - 4*n(w). Solve p(j) = 0.
0, 1
Let r(y) be the first derivative of y + 1/12*y**3 - 31 - 1/2*y**2. Factor r(h).
(h - 2)**2/4
Let a(b) = -6*b + 26. Let n be a(4). Factor 4*h**2 + 3*h**2 + 2*h**2 + 1280 - 4*h**n - 7*h + 167*h.
5*(h + 16)**2
Suppose -17*b = -18*b + 10. Let t = 50 - b. Factor 100*z**3 + 416*z + 46 + 580*z**2 - 11 + 5 + t.
4*(z + 5)*(5*z + 2)**2
Suppose -8*t + 10*h = 13*h - 15, 9 = -3*h. Let q(l) be the second derivative of -47*l - 1/8*l**t + 1/8*l**4 + 3/80*l**5 - 3/4*l**2 + 0. Solve q(x) = 0 for x.
-2, -1, 1
Let l be (-23441)/2233 + 17 - (-28)/406. Let -l*t**3 - 38/7*t**4 + 6/7*t - 10/7*t**2 + 0 - 8/7*t**5 = 0. Calculate t.
-3, -1, 0, 1/4
Let b(d) be the third derivative of d**8/840 - 58*d**7/525 + 298*d**6/75 - 1656*d**5/25 + 2268*d**4/5 - 7776*d**3/5 - 3*d**2 - 38. Factor b(t).
2*(t - 18)**3*(t - 2)**2/5
Factor 47*i**2 - 4325*i - 105*i**2 + 3360 - 3886*i - 1866*i + 49*i**2.
-3*(i + 1120)*(3*i - 1)
Suppose 0 = b + 2791*m - 2796*m - 60, -60 = -5*b + 5*m. What is l in -2/13*l**3 + b*l + 0 - 6/13*l**2 = 0?
-3, 0
Let m(p) be the second derivative of -p**4/66 + 14*p**3/33 + 72*p**2/11 - 1131*p. Factor m(o).
-2*(o - 18)*(o + 4)/11
Let k be -4 - ((-35)/252*-6 - 15/3). Let l(y) be the second derivative of -8*y + k*y**3 + 1/12*y**4 - 1/20*y**5 - 1/2*y**2 + 0. Factor l(b).
-(b - 1)**2*(b + 1)
Let x be ((-2)/3)/(35/(-420)). Let p be ((-98)/392)/((-3)/x). What is y in 8/3*y**3 - p + 4*y - 6*y**2 = 0?
1/4, 1
Factor -320 - 26*o**2 - 25*o**2 - 48*o - 47*o**2 + 121*o**2 - 24*o**2.
-(o + 8)*(o + 40)
Let k(h) be the first derivative of 0*h - 1/51*h**6 + 7/17*h**2 + 16/85*h**5 - 3/17*h**4 - 147 - 16/51*h**3. Find n such that k(n) = 0.
-1, 0, 1, 7
Let o(v) be the second derivative of -v**6/15 + 7*v**5/10 + 3*v**4/2 - 7*v**3/3 - 8*v**2 - v + 563. Factor o(i).
-2*(i - 8)*(i - 1)*(i + 1)**2
Suppose 0 = 8*z - 126 - 10. Let s be 301/476 + 2/z. Factor -3/4*y**2 + 0*y + s*y**3 + 0.
3*y**2*(y - 1)/4
Let s(w) = 3*w**2 - 24*w - 81. Let d(a) = -a**2 + 13*a + 42. Let z(f) = 7*d(f) + 4*s(f). Suppose z(y) = 0. What is y?
-2, 3
Let m(k) be the third derivative of -3*k**7/350 - 133*k**6/600 - 79*k**5/50 + 14*k**4/15 - k**2 - 246. Determine s, given that m(s) = 0.
-8, -7, 0, 2/9
Let t(d) be the third derivative of 5/27*d**3 - 1/27*d**4 + 0 + 144*