+ 1)*(g + 2)**2/4
Suppose -36*z + 8 = -25 - 75. Let t(u) be the first derivative of -4*u**2 - 2 - 4/9*u**z - 20/3*u. Let t(s) = 0. What is s?
-5, -1
Suppose -916*k + 912*k = -s + 15, s + k = 0. Let -12/7*v**2 - 1/7*v**3 + 14 - s*v = 0. Calculate v.
-7, 2
Factor -4158728/3 - 2/3*d**2 + 5768/3*d.
-2*(d - 1442)**2/3
Let f(t) = 2*t**2 - 4*t - 9*t**3 + 7*t**3 - 4 + 12*t**3. Let q(s) = 10*s**3 + s**2 - 4*s - 5. Let o(x) = -5*f(x) + 4*q(x). Factor o(a).
-2*a*(a + 1)*(5*a - 2)
Suppose 50 = 5*x + 5*p - 0*p, 0 = -4*x - 2*p + 36. Factor -18*v**3 + 35*v - 287*v**4 - 2*v**3 + x*v**2 + 291*v**4 - 3*v.
4*v*(v - 4)*(v - 2)*(v + 1)
Factor -3/2*j**2 + 261/2*j - 255.
-3*(j - 85)*(j - 2)/2
Suppose -2*q - 236 = -44*q - 68. Let m(h) be the second derivative of 1/8*h**q - 3/80*h**5 + 0*h**2 + 0 + 0*h**3 - 1/40*h**6 + 25*h. Factor m(j).
-3*j**2*(j - 1)*(j + 2)/4
Factor -10/19*x + 2/19*x**2 + 8/19.
2*(x - 4)*(x - 1)/19
Let g = -8788 - -114266/13. Suppose -4 + 2/13*i**2 + g*i = 0. Calculate i.
-13, 2
Let t(w) be the second derivative of -w**5/90 - w**4/27 + 31*w**3/27 - 28*w**2/9 - 212*w. Factor t(m).
-2*(m - 4)*(m - 1)*(m + 7)/9
Suppose 8*u - 168 = -0*u. Suppose 15*x - u = 9. Solve 16*v**3 + x*v + 0 - 3*v**2 + 0 - 15*v**3 = 0.
0, 1, 2
Suppose 4*d + 337 - 345 = 0. Suppose -d*m - 6 = 0, -2 = -u + m + 4. Determine q, given that -1/4*q**u - 1/8*q**5 - 3/8*q**4 + 1/8 + 3/8*q + 1/4*q**2 = 0.
-1, 1
Let v(x) be the first derivative of -36/55*x**5 - 1/33*x**6 - 137 - 16/3*x**3 - 57/11*x**2 - 31/11*x**4 - 28/11*x. Factor v(j).
-2*(j + 1)**4*(j + 14)/11
Let u(p) = p**3 + 13*p**2 - 14*p - 15. Let i be u(-10). Let k = i + -1273/3. Determine y so that -k*y**2 + 0 - 2*y = 0.
-3, 0
Solve -8/7*s**4 - 6/7*s**3 - 2/7*s**5 + 0 + 8/7*s + 8/7*s**2 = 0.
-2, -1, 0, 1
Let k(n) = -8*n**3 - 11*n**2 - 4*n - 22. Let p(l) = -21*l**3 - 27*l**2 - 13*l - 56. Let y(q) = -13*k(q) + 5*p(q). Factor y(h).
-(h - 6)*(h - 1)**2
Let d(b) be the second derivative of b**7/42 + b**6/3 - 15*b**5/4 - 8*b - 169. Find y such that d(y) = 0.
-15, 0, 5
Let z be (37/(-185))/(29/(-464)). Factor -z*o**3 - 4*o + 34/5*o**2 + 2/5*o**4 + 0.
2*o*(o - 5)*(o - 2)*(o - 1)/5
Let m(o) be the third derivative of -2/15*o**5 - 1/84*o**8 + 0*o**3 - 19/210*o**7 + 0*o + 1/6*o**4 + 2 - 9/40*o**6 + 35*o**2. Let m(j) = 0. Calculate j.
-2, -1, 0, 1/4
Let d be 5 + 2 - (-5 - -5). Suppose -c - 4 = -d. Solve 8*p**3 - 8*p - 6*p**3 - 5*p**3 - p**c - 12*p**2 = 0 for p.
-2, -1, 0
Let h(v) = 7*v - 22. Let t be h(6). Suppose 8*y - 4*y + t = -2*l, 5 = -4*l - y. Let 0 - 8/3*p**4 + l*p**2 + 0*p - 4/3*p**5 - 4/3*p**3 = 0. Calculate p.
-1, 0
Let n(z) = -z**2 - 28*z - 171. Let g = 130 - 139. Let q be n(g). Factor -2/11*p**2 + 0*p + 2/11*p**3 + q.
2*p**2*(p - 1)/11
Factor 16632187632 - 2/3*l**3 - 17076168*l + 5844*l**2.
-2*(l - 2922)**3/3
Let s(x) be the first derivative of 0*x + 4*x**2 + 5*x**4 + 28/3*x**3 - 37. Factor s(v).
4*v*(v + 1)*(5*v + 2)
Suppose -4*m + 20 = -4*s, -5*m = -2*s + 2*m - 50. Find t such that -8/17 + 22/17*t**4 + 24/17*t - 18/17*t**s - 6/17*t**5 - 14/17*t**2 = 0.
-1, 2/3, 1, 2
Suppose 3 = y - 0*y. Suppose -4*h = o - 6, -2*o - 10 = 4*h - 26. Factor -32 - 103*c**2 - 46*c**2 - o*c**2 - 20*c**y + 51*c**2 - 120*c.
-4*(c + 1)*(c + 4)*(5*c + 2)
Suppose -2*m + 3*i + 100 = 0, -4*m = 5*i - 0*i - 156. Factor m*d - 26*d + 2*d**2 - 42 + 22*d.
2*(d - 1)*(d + 21)
Factor -4*s**3 + 158*s - 527*s - 456 - 730*s**2 + 626*s**2 - 187*s.
-4*(s + 1)*(s + 6)*(s + 19)
Let c(l) = 173*l**3 - 100*l**2 - 780*l + 2024. Let v(i) = 108*i**3 - 67*i**2 - 520*i + 1349. Let p(u) = 5*c(u) - 8*v(u). Suppose p(o) = 0. What is o?
-24, -14, 2
Let l(z) be the second derivative of -32/5*z**2 + 1/15*z**4 + 45*z + 0 + 2*z**3. Let l(v) = 0. What is v?
-16, 1
Let o(n) = 833 - 833 - n. Let j be o(-5). Factor 10*g - 2*g**3 + 5*g**4 - 3*g**3 - 6*g**3 + g**3 - j.
5*(g - 1)**3*(g + 1)
Let n(u) be the third derivative of u**5/40 - u**4/8 + 2*u**2 - 15. Factor n(t).
3*t*(t - 2)/2
Let l be 0 - -1 - (-30 + 12). Let j be (57/18)/l*9/2. Factor 0*y**2 + j*y**3 - 3*y + 0.
3*y*(y - 2)*(y + 2)/4
Suppose -200 = 17*i - 27*i. Suppose -x - 6*q - 1 = -3*q, 2*x + 3*q - 7 = 0. Factor 2*c**4 - 11*c**5 - x*c**5 - 2*c**2 + i*c**5 - c**3.
c**2*(c - 1)*(c + 1)*(c + 2)
Let c(z) be the third derivative of z**6/120 + 2*z**5/15 + 19*z**4/24 + 2*z**3 - 116*z**2 + z - 2. Factor c(f).
(f + 1)*(f + 3)*(f + 4)
Let m(p) = p**2 - 110*p - 341. Let t(z) = 17*z - 1. Let y(l) = -4*m(l) - 36*t(l). Factor y(x).
-4*(x - 7)*(x + 50)
Let u(i) be the third derivative of i**6/135 - 367*i**5/270 + 493*i**4/54 - 623*i**3/27 - 2*i**2 - 216*i - 3. Solve u(o) = 0 for o.
1, 7/4, 89
Solve 6815432/7 + 2/7*j**2 + 7384/7*j = 0.
-1846
Let p(k) be the third derivative of -k**8/280 + 11*k**7/350 - 3*k**6/40 - 2*k**5/25 + k**4/2 - 2*k**2 - 38*k. Find w, given that p(w) = 0.
-1, 0, 2, 5/2
Suppose -1/6*f**3 - 5/3*f**2 - 52 + 323/6*f = 0. Calculate f.
-24, 1, 13
Let r = 2/186767 - -4295635/560301. Factor 121/3 + r*y**2 - 1/3*y**3 - 143/3*y.
-(y - 11)**2*(y - 1)/3
Let j**4 - 3 + 4513*j**2 - 4514*j**2 + 3 - 56*j + 57*j**3 - j**5 = 0. Calculate j.
-7, -1, 0, 1, 8
Let p(d) = -d**3 + 35*d**2 - 2*d + 72. Let o = 1997 + -1962. Let u be p(o). Factor 2/9*l - 2/9*l**3 + 2/9 - 2/9*l**u.
-2*(l - 1)*(l + 1)**2/9
Let l(g) be the third derivative of 2/315*g**7 - 7/180*g**6 + 0*g**4 - 1/45*g**5 + 0*g**3 + 1/72*g**8 - 10*g**2 + 0 - 2*g. Determine f, given that l(f) = 0.
-1, -2/7, 0, 1
Let l(m) = m + 29. Let t be l(-30). Let n(h) = 2*h**2 + 2*h. Let d(a) = 25*a**2 + 100*a - 65. Let x(r) = t*d(r) + 15*n(r). Determine y, given that x(y) = 0.
1, 13
Let h(l) be the third derivative of l**7/315 - l**6/45 - l**5/5 - 5*l**4/9 - 7*l**3/9 - 2*l**2 - 1601. Find d such that h(d) = 0.
-1, 7
Determine w so that -2/9*w**2 + 28/9 - 10/9*w = 0.
-7, 2
Let x(j) be the first derivative of -5*j**6/6 - 242*j**5 - 17680*j**4 + 303790*j**3/3 + 70725*j**2/2 - 302580*j + 1777. Find t such that x(t) = 0.
-123, -1, 1, 4
Let y be (2*(-1)/(-3))/((-8674)/(-26022)). Let -4*d - 33/8 + 1/8*d**y = 0. Calculate d.
-1, 33
Let v = -28/45 - -376/315. Let b(w) be the first derivative of -2/21*w**3 - 6/7*w + 17 - v*w**2. Factor b(h).
-2*(h + 1)*(h + 3)/7
Let v(z) be the second derivative of 1/6*z**4 + 0 + 3/100*z**5 - 1/25*z**6 + 1/210*z**7 + 0*z**3 + 6*z + 0*z**2. Suppose v(l) = 0. What is l?
-1, 0, 2, 5
Let i(a) be the second derivative of 0*a**2 + 5/12*a**4 + 5 - 55/6*a**3 - 12*a. Factor i(d).
5*d*(d - 11)
Find w such that -4/9*w + 2/3*w**2 + 0 + 2/3*w**5 - 14/9*w**4 + 2/3*w**3 = 0.
-2/3, 0, 1
Let n(k) be the second derivative of k**7/105 + 7*k**6/75 + 7*k**5/50 - 23*k**4/30 - 8*k**3/15 + 16*k**2/5 - 114*k - 2. What is m in n(m) = 0?
-4, -1, 1
Let q be 9091/(-20)*-2 - (2 + 2). Let r = q - 905. Factor -1/2*w - 1/2*w**4 - w**3 - w**2 - 1/10 - r*w**5.
-(w + 1)**5/10
Let k be (21 + (-5382)/252)/(5/(-8)). Factor -12/7*t - k*t**2 + 0.
-4*t*(t + 3)/7
Suppose -62*c = -67*c - 5*t + 6805, 4*c - 5409 = 3*t. Let x = c + -1242. Determine y so that -26/3*y**4 - 144*y - 134/3*y**3 - 2/3*y**5 - x*y**2 - 72 = 0.
-3, -2
Let f be ((-1)/(-2))/(4/(-24))*-69. Factor -9*s - 14*s**3 + 2*s**4 + f*s**2 - 9*s - 177*s**2.
2*s*(s - 3)**2*(s - 1)
Solve -2/9*g**3 + 1904/9*g**2 + 1900/9 - 3802/9*g = 0 for g.
1, 950
Let s(v) = -2*v**3 - 20*v**2 + 9*v + 115. Let d be s(-10). Let c(r) be the third derivative of 0*r**3 - 1/8*r**4 + 0*r - d*r**2 + 0 + 1/160*r**5. Factor c(k).
3*k*(k - 8)/8
Let z = 613 - 548. Suppose -51*p**3 - 27*p**5 + 41*p**3 - z*p**3 + 126*p**4 + 12*p**2 = 0. What is p?
0, 1/3, 4
Let w(q) be the third derivative of q**7/14 - 41*q**6/24 - 119*q**5/12 + 545*q**4/24 + 40*q**3 + 1272*q**2. Find z such that w(z) = 0.
-3, -1/3, 1, 16
Let d(b) = 27*b + 9*b**2 + 286 - 261 - 4*b**2. Let k(i) = -15*i**2 - 80*i - 75. Let f(o) = -10*d(o) - 3*k(o). Factor f(g).
-5*(g + 1)*(g + 5)
Suppose -5*y = -3*g - 15, 4*y = -0*y + g + 12. Suppose 572 = 32*p - 4. Let -p*q**3 - 2*q - q + 19*q**y + 2*q**2 + 0*q = 0. Calculate q.
-3, 0, 1
Let j = -41 - -52. Suppose -9*m - m - j*m + 3 + m**2 + 17*m = 0. What is m?
1, 3
Let o(b) be the second derivative of -b**5/70 - 13*b**4/42 - 10*b**3/7 + 4601*b. Factor o(c).
-2*c*(c + 3)*(c + 10)/7
Suppose 179*v + 24 = 183*v. Factor -994 - 3*l**4 + 994 + 9*l**3 - v*l**2.
-3*l**2*(l - 2)*(l - 1)
Let j be (-3)/