0.
-12, -7, -1, 1
Let m be (-12 + 26)/(-70) - (-691)/5. Suppose -90 = 24*y - m. Factor 3*n**y - 6/5*n + 0.
3*n*(5*n - 2)/5
Suppose -8*c + 17*c = -18. Let m(t) = 36*t**2 + 263*t - 292. Let a(j) = -11*j**2 - 88*j + 97. Let n(i) = c*m(i) - 7*a(i). Factor n(y).
5*(y - 1)*(y + 19)
Let q(n) be the second derivative of n**5/4 + 35*n**4/4 - 10*n**3/3 - 210*n**2 + 1663*n. Factor q(z).
5*(z - 2)*(z + 2)*(z + 21)
Let l(x) = x**3 - 17*x**2 - 94*x - 8. Let i(o) = 4*o**3 - 50*o**2 - 284*o - 28. Let q(g) = -2*i(g) + 7*l(g). Factor q(p).
-p*(p + 9)*(p + 10)
Let p = 134/3 - 44. Let s = -16658 - -16660. Factor p*n - 1/3*n**3 + 1/3*n**s + 0.
-n*(n - 2)*(n + 1)/3
Factor 6847 + 147*w**2 + 6158 - 2598*w**3 - 2397*w + 2595*w**3.
-3*(w - 17)**2*(w - 15)
Let n(d) = 24*d + 7. Let l be n(4). Suppose 106*u - 24 = l*u. Suppose v**3 - v - u + 3*v**3 + 6*v**2 - 3*v + 2*v**2 = 0. What is v?
-2, -1, 1
Let f be -6*((-80)/36 + 2)/(86/258). Factor 2/13*l**f - 12/13*l**2 - 6/13 + 0*l**3 + 16/13*l.
2*(l - 1)**3*(l + 3)/13
Let v(z) be the third derivative of 289*z**6/30 - 17*z**5/3 - 28*z**4 - 24*z**3 + 3*z**2 - 803*z. Suppose v(i) = 0. Calculate i.
-6/17, 1
Let q be (-620)/(-456) - 338/12844. Factor -q - 1/3*a**2 - 8/3*a + 5/3*a**3 + 1/3*a**4 - 1/3*a**5.
-(a - 2)**2*(a + 1)**3/3
Let t(l) = 5*l**4 + 53*l**3 + 201*l**2 + 233*l + 90. Let m(h) = -21*h**4 - 210*h**3 - 807*h**2 - 933*h - 360. Let i(o) = -2*m(o) - 9*t(o). Solve i(u) = 0.
-15, -2, -1
Let w(q) be the first derivative of 40*q**3 + 1311/2*q**2 + 3/4*q**4 + 2166*q + 11. Factor w(i).
3*(i + 2)*(i + 19)**2
Suppose 2*o + 3*t = 6*t - 6, 5*t = 5*o + 5. What is r in -r - 51*r - 65*r + o*r**2 = 0?
0, 39
Let w(s) = 9*s**3 - 1129*s**2 + 13*s. Let x(z) = 2*z**3 - 282*z**2 + 3*z. Let n(c) = -6*w(c) + 26*x(c). Find b, given that n(b) = 0.
-279, 0
Let h(f) be the first derivative of 6/5*f - 4/5*f**3 + 3/10*f**2 - 9/20*f**4 - 60. Let h(a) = 0. Calculate a.
-1, 2/3
Let y(b) be the third derivative of 1/70*b**6 + 31*b**2 - 11/210*b**5 + 1/14*b**4 + 0*b - 1/735*b**7 + 0*b**3 + 0. Factor y(c).
-2*c*(c - 3)*(c - 2)*(c - 1)/7
Let l be (12/(-10))/(86/(-215)). Let s(p) be the first derivative of 4/3*p + 14/9*p**l - 1/3*p**4 - 7/3*p**2 - 2. Factor s(y).
-2*(y - 2)*(y - 1)*(2*y - 1)/3
Factor 2637/2*h**3 + 3/2*h**4 + 0 + 580797/2*h**2 + 578163/2*h.
3*h*(h + 1)*(h + 439)**2/2
Let a(z) = 2*z**5 + 112*z**4 - 462*z**3 + 6*z**2 + 12*z. Let i(r) = 2*r**5 + 113*r**4 - 463*r**3 + 7*r**2 + 14*r. Let t(k) = 7*a(k) - 6*i(k). Factor t(n).
2*n**3*(n - 4)*(n + 57)
Let z be (5/(140/(-16)))/((-14)/(-9184)). Let a = 375 + z. Solve -a*i**2 + 3/7*i + 0 = 0.
0, 3
Let a(z) be the third derivative of z**9/15120 - z**8/1680 - z**5/30 - 31*z**4/12 + 44*z**2. Let p(l) be the third derivative of a(l). Factor p(c).
4*c**2*(c - 3)
Let k(j) be the second derivative of -5*j**6/6 - 13*j**5/2 - 125*j**4/12 - 10*j**3/3 - 3*j - 22. Factor k(z).
-5*z*(z + 1)*(z + 4)*(5*z + 1)
Suppose -10 - 11 = -3*a + 3*u, -41 = -3*a - 2*u. Let -15*v**2 - 9 + 23*v**2 - a + 17*v**2 + 35*v + 60*v = 0. Calculate v.
-4, 1/5
Let k be (20/(-185))/((-12735)/(-555) + -23). Let j = -2/325 + 991/2600. Factor -j - 3/8*t**k - 3/4*t.
-3*(t + 1)**2/8
Let w(g) be the second derivative of -g**6/120 + g**5/5 - 15*g**4/8 + 17*g**3 - 8*g. Let o(q) be the second derivative of w(q). Solve o(s) = 0.
3, 5
Let o be (-89)/((0 + 3)/3). Let k = o - -90. Factor -k + 4 - 6*b**2 + 8*b - 5.
-2*(b - 1)*(3*b - 1)
Let -12 - 16*s - 7/3*s**2 = 0. Calculate s.
-6, -6/7
Let z be (1 + (2 - -22))*(-6 - -5). Let r = 34 + z. Solve s**3 + 13*s**2 - 4*s + 7*s - r*s**2 + 0*s**3 = 0.
-3, -1, 0
Factor 0 + 328/7*a**2 + 0*a + 4/7*a**3.
4*a**2*(a + 82)/7
Let m be 12 + -19 + 0 + 5. Let l be m + 6 + -3 + 1/(-5). Find z, given that 1/5*z - 1/5*z**3 - l + 4/5*z**2 = 0.
-1, 1, 4
Let n be 5/2*1*(-960)/(-36). Solve n - 142/3*w**2 + 10/3*w**3 - 80/3*w + 14/3*w**4 - 2/3*w**5 = 0.
-2, 1, 5
Suppose 3*p = -15, 0 = -u + 2*p - 22 - 28. Let h = -55 - u. Solve -2 + 44*z**4 + 4*z - 16*z**h + 2 - 30*z**2 + 34*z**2 - 36*z**3 = 0.
-1/4, 0, 1
Let p(q) = 3*q**5 + 270*q**4 - 6072*q**3 + 11346*q**2 - 5541*q - 12. Let x(l) = l**5 + l**4 - l**3 - l**2 + l - 2. Let w(u) = -p(u) + 6*x(u). Factor w(s).
3*s*(s - 43)**2*(s - 1)**2
Let d be -1 - 28/(-16) - (-754)/8. Solve 5*m + 39*m + d + 176 + 2*m**2 - 29 = 0.
-11
Let i be (-125)/(16/(-8) + (-85)/(-38)). Let k = i + 530. Determine j so that -10/9*j**4 + 10/9*j + 2/9*j**5 + k*j**3 - 2/9 - 20/9*j**2 = 0.
1
Solve 22*s**2 - 3738 - 3*s**4 + 14*s**2 - 5601*s + 10*s**2 + 7*s**2 - 44*s**2 + 1869*s**3 = 0 for s.
-1, 2, 623
Let g be 5 + (6/4)/(12/(7344/90)). Suppose 54*y**2 + 62*y**4 - g*y - 15*y**5 + 8/5 - 437/5*y**3 = 0. Calculate y.
1/3, 2/5, 1, 2
Suppose 3*c - 4*t = 5, 4*c + 2*t - 14 = -0. Let m = 6 - c. Determine v, given that -2*v + 0*v - 4*v + 3*v - m*v**2 = 0.
-1, 0
Let u(y) = -y**2 + 5*y. Let d be u(4). Suppose -5*i + 117 = 2*o - 2*i, -2*i - 102 = -2*o. Determine c so that -o*c + c**2 + 36*c + 0*c**2 - d*c**2 - 15 = 0.
-5, -1
Let f(s) be the second derivative of -s**7/210 + 2*s**6/75 + 3*s**5/100 - 3*s**4/10 - 895*s. Factor f(h).
-h**2*(h - 3)**2*(h + 2)/5
Let t = 1009/55 + -929/55. Determine n, given that 2/11*n**2 - 16/11*n + 6/11*n**4 + t*n**3 - 8/11 = 0.
-2, -1, -2/3, 1
Let l = -12417/32 - -64581/160. Suppose -l - 76/5*p + 2/5*p**2 = 0. What is p?
-1, 39
Suppose 0 = -451*y - 1137 + 566 + 571. Find u such that y*u - 6*u**2 + 0 + 24*u**3 - 21/2*u**4 = 0.
0, 2/7, 2
Let j(w) be the first derivative of w**6/2 + 57*w**5/5 + 99*w**4/4 - 19*w**3 - 51*w**2 - 2507. Determine v so that j(v) = 0.
-17, -2, -1, 0, 1
Suppose -3829*y**5 + 616 + 84*y**4 + 557*y**3 + 279*y + 1406*y**2 + 3830*y**5 + 1269*y = 0. What is y?
-77, -2, -1
Let f(b) = -8*b**4 - 212*b**3 + 188*b**2 + 242*b - 240. Let r(a) = a**4 + 2*a**2 - 3*a + 3. Let i(u) = -f(u) - 10*r(u). Let i(l) = 0. What is l?
-1, 1, 105
Let q(k) = -60027*k + 540248. Let r be q(9). Let 2/11*o + 0*o**3 - 8/11*o**4 - 12/11 - 2/11*o**r + 20/11*o**2 = 0. Calculate o.
-3, -2, -1, 1
Let s = 11044/13 - 848. Let w(q) be the second derivative of 0 - 6/13*q**4 - 25/13*q**2 + s*q**3 - 21*q. Factor w(f).
-2*(6*f - 5)**2/13
Determine h so that 5*h**3 + 31*h**2 + 115*h + 75*h + 45*h**2 - h**2 + 120 = 0.
-12, -2, -1
Suppose -5*x + 71 = -86*s + 88*s, 97 = 4*s - 5*x. Let t be (-2)/48*(-224)/s. What is c in 1/3*c**4 + 1/3*c - c**2 - t*c**3 + 2/3 = 0?
-1, 1, 2
Let k = -12 - -18. Suppose o + 15 = k*o. Let 2*d**3 + 29*d**2 - 27*d**2 + 0*d**o - 4*d = 0. What is d?
-2, 0, 1
Let u(s) be the first derivative of -s**4/28 + 6*s**3 - 53*s**2/2 + 246*s/7 + 1449. Factor u(z).
-(z - 123)*(z - 2)*(z - 1)/7
Let n = 457204939/742 - 616179. Let t = n + 13/106. Factor -2/7*z + 2/7*z**3 + t*z**2 - 2/7.
2*(z - 1)*(z + 1)**2/7
Let d(s) be the second derivative of 2*s**6/5 + 52*s**5/5 + 197*s**4/3 + 40*s**3 + 9221*s. Factor d(t).
4*t*(t + 5)*(t + 12)*(3*t + 1)
Let b(l) be the second derivative of -l**5/80 + 7*l**4/24 + 14*l**3/3 + 20*l**2 + 1411*l + 1. Find i such that b(i) = 0.
-4, -2, 20
Let r be (-7)/(560/60)*192/(-72). Factor 255/4*s**r + 1/4*s**4 + 0 - 31/4*s**3 - 225/4*s.
s*(s - 15)**2*(s - 1)/4
Let x(j) = j**3 - 2*j**2 - 1. Let l(y) = 2*y**3 - 2*y**2 + 2*y - 10. Let m(n) = l(n) - 4*x(n). Determine g so that m(g) = 0.
-1, 1, 3
Let d(x) = -5*x**2 + 65*x + 17. Let p be d(13). Factor -5*k**3 + k**4 + 22*k - p*k - 81 - k**2 + 81.
k*(k - 5)*(k - 1)*(k + 1)
Let o(b) be the first derivative of b**4/3 - 2*b**2 - 64*b + 137. Let v(l) be the first derivative of o(l). Factor v(u).
4*(u - 1)*(u + 1)
Let n(c) be the first derivative of -26*c + 0*c**2 + 24 + 1/9*c**3 + 1/18*c**4. Let x(l) be the first derivative of n(l). Find t, given that x(t) = 0.
-1, 0
Let f(i) be the third derivative of i**5/140 - 29*i**4/56 + 27*i**3/7 + 3532*i**2. Factor f(z).
3*(z - 27)*(z - 2)/7
Let r(f) be the second derivative of 1/18*f**4 + 97*f + 22/9*f**3 + 0 + 121/3*f**2. Factor r(s).
2*(s + 11)**2/3
Let b(a) = a**5 + 2*a**3 + a**2 + 1. Let j(t) = -2*t**5 + 6*t**4 + 5*t**3 + 3*t**2 - 3. Let z(n) = 3*b(n) + j(n). Factor z(y).
y**2*(y + 1)*(y + 2)*(y + 3)
Suppose -1/3*c**2 - 1 - 4/3*c = 0. What is c?
-3, -1
Let l(i) be the third derivative of i**7/315 + 353*i**6/90 + 41771*i**5/30 + 62128*i**4/9 + 123904*i**3/9 - 9*i**2 - 3*i + 17. Factor l(t).
2*(t + 1)**2*(t 