2 + 27*s**3 - 2*s**t - 6*s + 2*s = 0. What is s?
-1, 1
Let y(d) be the third derivative of -d**6/80 + d**5/30 - d**4/48 - 60*d**2. Let y(m) = 0. Calculate m.
0, 1/3, 1
Let h = -3917 + 3920. Factor -2/9*n**h + 200/9 + 14/3*n**2 - 80/3*n.
-2*(n - 10)**2*(n - 1)/9
Factor 18 + 3/2*i**2 + 21/2*i.
3*(i + 3)*(i + 4)/2
Let h be 1/(-3)*((-7)/3)/(140/120). Factor -16/15 + h*z**3 + 12/5*z**2 + 8/5*z.
2*(z + 2)**2*(5*z - 2)/15
Let t(l) be the first derivative of 3/2*l**2 + 0*l**3 + 0*l + 1 - 3/4*l**4. Factor t(v).
-3*v*(v - 1)*(v + 1)
Let l(c) = -3*c**2 - 62*c + 973. Let h(m) = -4*m**2 - 62*m + 976. Let k(r) = 4*h(r) - 5*l(r). Suppose k(j) = 0. What is j?
31
Let u be 2/1 + 345/10. Let o = -36 + u. Factor 1/2*p + 0 - 1/2*p**3 - o*p**4 + 1/2*p**2.
-p*(p - 1)*(p + 1)**2/2
Suppose 2*s = -4*n + 8, 4*n - 1 = -3*s + 9. Let t(w) be the third derivative of 0 + 0*w - 1/12*w**3 + 1/240*w**5 - 4*w**s - 1/96*w**4. Factor t(g).
(g - 2)*(g + 1)/4
Let j(m) = 3*m + 41. Let w be j(-13). Suppose -2*r - w*u = -14, -4 - 29 = -4*r - 5*u. Factor r*f + 3/2 + 1/2*f**2.
(f + 1)*(f + 3)/2
Suppose w = 6*w - 15. Suppose w*s + 2 = 8. Factor 11*l**4 - 3*l - l - 9*l**4 - 6*l**s.
2*l*(l - 2)*(l + 1)**2
Solve -377 - 30*o + 377 + 5*o**2 = 0.
0, 6
Let a(x) = x**2 - x + 2. Let p(b) = b**4 + 11*b**3 - 16*b**2 - 8*b + 6. Let n(f) = -15*a(f) - 5*p(f). Factor n(w).
-5*(w - 1)**2*(w + 1)*(w + 12)
Let r(u) be the third derivative of -6*u**2 + 2/15*u**5 + 2/3*u**3 + 3/4*u**4 + 0 + 0*u. Determine w so that r(w) = 0.
-2, -1/4
Factor -14*g**3 + 16*g - 18*g**3 - 10*g**3 + 10*g**2 + 40*g**3 - 96.
-2*(g - 4)**2*(g + 3)
Suppose -4*h - 2*k + 10 = 0, 4*h = 6*h + 2*k - 4. Suppose 0 = -19*p + h - 3. Factor 1/5*j**5 + 0 - 1/5*j**3 + 0*j**4 + p*j + 0*j**2.
j**3*(j - 1)*(j + 1)/5
Let c(g) be the third derivative of 23*g**2 - 1/270*g**6 + 1/945*g**7 + 0*g**3 + 0 - 1/270*g**5 + 0*g + 1/54*g**4. Factor c(d).
2*d*(d - 2)*(d - 1)*(d + 1)/9
Let n be (8 - (-114)/(-15))*5/6. Let p(d) be the first derivative of 3 + n*d + 1/9*d**3 - 1/3*d**2. Factor p(v).
(v - 1)**2/3
Let j be 10/(-2) - 141/(-27). Let u = 4 - 4. Find a, given that u - j*a**3 - 8/9*a - 8/9*a**2 = 0.
-2, 0
Let v be (-14)/(-3) - (-4)/3. Suppose 13 - 4*s**2 - v - 8*s + 5 = 0. What is s?
-3, 1
Let a(j) be the third derivative of 1/60*j**6 - 1/10*j**5 + 0*j**3 + 1/35*j**7 + 0 - 1/6*j**4 + 0*j + 1/168*j**8 + 14*j**2. Let a(x) = 0. Calculate x.
-2, -1, 0, 1
Let x = 4315 + -4312. Solve -2/9*t**x + 0*t + 0 - 2/9*t**2 = 0.
-1, 0
Let c = -622 + 9332/15. Let z(k) be the first derivative of 3/5*k**2 - 6 - c*k**3 - 4/5*k. Determine w so that z(w) = 0.
1, 2
Factor 23*z + 144296 - z**2 - 144296.
-z*(z - 23)
Let n(k) be the second derivative of -k**6/45 + k**5/15 + k**4/2 - 2*k**3 - 2*k + 91. Determine j, given that n(j) = 0.
-3, 0, 2, 3
Suppose 0 = 4*j - 4*u - 24, 2*j - 4*u = 12 + 6. Let p be j - (3 + -3)/(-2). Solve 9 - 3*q - q**2 - p*q + q**2 + q**2 = 0.
3
Let g(f) be the second derivative of -f**6/600 + f**5/100 + 21*f**2/2 + 13*f. Let b(a) be the first derivative of g(a). Let b(r) = 0. What is r?
0, 3
Let y(w) be the third derivative of -w**8/504 + 2*w**7/63 - w**6/6 + 2*w**5/9 + 31*w**4/36 - 10*w**3/3 - 419*w**2. Let y(u) = 0. Calculate u.
-1, 1, 2, 3, 5
Let u(v) = 2*v**2 + 866*v + 70. Let s(w) = w**2 + 289*w + 20. Let m(d) = -7*s(d) + 2*u(d). Factor m(b).
-3*b*(b + 97)
Let o = -125 + 2501/20. Let q(h) be the second derivative of -1/15*h**3 + o*h**4 + h + 0*h**2 + 0 - 1/100*h**5. Factor q(l).
-l*(l - 2)*(l - 1)/5
Let b = -43 - -46. Solve -7*i**2 + 0*i**3 - 52*i - 13*i**2 + 4*i**b - 28 = 0.
-1, 7
Let 53*h**4 - 20*h**5 + 5*h**4 + 2*h - 54*h**3 + 192*h**2 - 178*h**2 = 0. What is h?
-1/10, 0, 1
Let q(k) be the third derivative of k**5/30 + k**4/4 + 2*k**3/3 + 100*k**2. Factor q(b).
2*(b + 1)*(b + 2)
Let b(r) = 2*r**3 - 58*r**2 - 127*r - 22. Let t(h) = h**3 - 29*h**2 - 64*h - 7. Let y(c) = -3*b(c) + 5*t(c). Find d such that y(d) = 0.
-1, 31
Factor -1620*l - 5967 + 576 - 126*l**2 + 748 - 1189 - 3*l**3.
-3*(l + 6)*(l + 18)**2
Suppose -2556*p + 2545*p = 0. Suppose -2/13*m**3 - 50/13*m + 20/13*m**2 + p = 0. Calculate m.
0, 5
Let k(s) be the second derivative of -s**5/10 + 12*s**4 - 576*s**3 + 13824*s**2 + 207*s. Factor k(q).
-2*(q - 24)**3
Let a = -60 + 61. Factor -7 - 10*q - a - 2*q + 4*q**2 + 8*q.
4*(q - 2)*(q + 1)
Let z(w) be the second derivative of -w**7/56 + 11*w**6/40 - 3*w**5/8 + 229*w. Factor z(h).
-3*h**3*(h - 10)*(h - 1)/4
Let f = -6571/3 + 46258/21. Factor -27/7*x**3 + f*x**2 - 18/7*x + 0.
-3*x*(x - 3)*(9*x - 2)/7
Let t(o) be the third derivative of -o**7/70 + o**6/20 - o**4/4 + o**3/2 - 741*o**2. Find i, given that t(i) = 0.
-1, 1
Let p(j) be the second derivative of -j**6/10 + 3*j**5/20 + 3*j**4/2 - 2*j**3 - 12*j**2 - 3*j - 11. What is c in p(c) = 0?
-2, -1, 2
Let o(v) be the third derivative of v**7/350 + v**6/100 - v**5/100 - v**4/20 + 6*v**2 - v. Factor o(j).
3*j*(j - 1)*(j + 1)*(j + 2)/5
Suppose 34*c - 4 = 31*c - r, 5*r - 20 = -4*c. Determine h so that 1/2*h**3 + c + 1/2*h**4 + 0*h + 1/6*h**2 + 1/6*h**5 = 0.
-1, 0
Suppose -11*p + 19 = -3. Let 74*c - 115*c - p*c**2 + 57*c = 0. What is c?
0, 8
Let q be (-8)/156*3 - 201/(-39). Let x(k) be the third derivative of 0*k**3 + 0*k + 0 + q*k**2 - 1/240*k**6 + 1/48*k**4 - 1/105*k**7 + 1/30*k**5. Factor x(z).
-z*(z - 1)*(z + 1)*(4*z + 1)/2
Let c(i) = i**2 + 112*i + 2114. Let x be c(-88). Factor 2/9*k**x - 10/9*k + 8/9.
2*(k - 4)*(k - 1)/9
Let p = -1621/100 - -574/25. Let -p*g**2 + 5/4*g**3 - 3 + 10*g = 0. Calculate g.
2/5, 2, 3
Suppose -2*k = -8*k + 18. Suppose 0 = 3*y + k*f - 6 - 0, 0 = 5*f - 10. Determine n so that 0 + y*n - 10/7*n**3 + 8/7*n**4 + 2/7*n**2 = 0.
0, 1/4, 1
Let c(t) be the second derivative of t**9/15120 + t**8/2800 + t**7/2100 - 13*t**3/6 + 13*t. Let y(w) be the second derivative of c(w). Factor y(i).
i**3*(i + 1)*(i + 2)/5
Factor -1 - 42*m + 31 - 6 + 21*m**2 - 3*m**3.
-3*(m - 4)*(m - 2)*(m - 1)
Let l(o) be the first derivative of -3*o**4/4 - o**3/2 + 17*o - 4. Let q(w) be the first derivative of l(w). Suppose q(p) = 0. Calculate p.
-1/3, 0
Let i = -214 + 214. Let h(j) be the second derivative of 1/21*j**7 + 0*j**4 - 1/5*j**5 + 0 + 3*j + 0*j**2 + 1/3*j**3 + i*j**6. Determine l, given that h(l) = 0.
-1, 0, 1
Suppose 10*p + 2 = 11*p - 4*b, -5*p - 2*b + 10 = 0. Let l(w) be the second derivative of -1/5*w**p + 1/3*w**3 + 0 - 2/15*w**4 + 4*w. Factor l(i).
-2*(i - 1)*(4*i - 1)/5
Let -84/5*z - 1/5*z**3 + 16/5*z**2 + 144/5 = 0. Calculate z.
4, 6
Let s(b) = -18*b**3 - 40*b**2 - 7*b + 2. Let d be s(-2). Factor 0*f**3 + 0*f + 1/2*f**4 - 1/2*f**2 + d.
f**2*(f - 1)*(f + 1)/2
Let x(q) = 3*q - 58. Let i be x(19). Let a be i*30/6 - -5. Factor a + 4/3*d - 2/3*d**2.
-2*d*(d - 2)/3
Let u(g) be the third derivative of 0*g**3 + 0*g + 0*g**4 - 8*g**2 + 1/10*g**5 + 0 + 1/40*g**6. Determine q so that u(q) = 0.
-2, 0
Let o(b) be the third derivative of b**5/10 - 109*b**4/18 + 16*b**3/3 + 3*b**2 + 82. Factor o(a).
2*(a - 24)*(9*a - 2)/3
Determine d, given that -20/3*d**2 + 0 - 13/2*d - 1/6*d**3 = 0.
-39, -1, 0
Find v, given that 1/9*v**2 + 8/9 - 2/3*v = 0.
2, 4
Let x(q) be the third derivative of q**8/84 - 2*q**7/105 - q**6/15 + 2*q**5/15 + q**4/6 - 2*q**3/3 + 2*q**2 - 9. Let x(p) = 0. Calculate p.
-1, 1
Let s be 4/(100/15) - (-22)/55. Let u(z) be the first derivative of 1/2*z**4 + 0*z - s - 2/3*z**3 - 2*z**2. Factor u(t).
2*t*(t - 2)*(t + 1)
Let z be 1/1 + (25 - -1). Let s = z + -7. Suppose 29*q - 14*q**2 - s*q - 4 + 9*q = 0. Calculate q.
2/7, 1
Let h(k) be the first derivative of 2*k**3 + 9*k**2/2 - k + 3. Let q(r) = -r**2 + r + 1. Let y(c) = h(c) + q(c). Determine t, given that y(t) = 0.
-2, 0
Suppose -2*u - 4 = -u, -5*a + 5*u = -30. Suppose -4*i**2 - 4 + 5*i**2 + 2*i**3 + 4*i**2 - 2*i - i**a = 0. What is i?
-2, -1, 1
Let m be 294/30 + -5 - (-2 - (-11 - -5)). Find s such that 4/5*s - 48/5*s**2 + m = 0.
-1/4, 1/3
Let v be 144/20 - (-1)/(-5) - (-1416)/(-216). Find u, given that v*u**3 - 2/9*u**4 - 4/9*u + 2/9 + 0*u**2 = 0.
-1, 1
Suppose -21799*h**2 + 21739*h**2 + 32*h - 10*h**4 + h**5 + 37*h**3 + 4*h = 0. What is h?
0, 2, 3
Suppose -3*x = 4*w - 35, -2*w = -w - 5*x + 20. What is c in -168 - 76 + 80*c - 76 - w*c**2 = 0?
8
Factor 0 + 21/4*h - 1/4*h**2.
-h*(h - 21)/4
Let s(l) be the first derivative of -l**4 - 28*l**3/3 - 22*l