0. Calculate i.
1, 76
Let n(l) be the second derivative of l**5/25 + 8*l**4/5 + 6*l**3 + 44*l**2/5 + 339*l. What is o in n(o) = 0?
-22, -1
Suppose 5*x - 97 = -2*g, -3*g = x - 180 + 15. Let m = 58 - g. Factor 3*q + 5*q + 2*q**2 - 4 - 9*q**3 + q**m.
-(q + 1)*(3*q - 2)**2
Factor 1378276 + 1/4*q**2 + 1174*q.
(q + 2348)**2/4
Let z(m) = 2*m**2. Let s(y) = -13 + y + 7 + y - 8*y + y**2. Let u be s(7). Let l(n) = -n**2. Let g(h) = u*z(h) + l(h). Factor g(v).
v**2
Suppose 64*a - 387*a - 452*a + 1550 = 0. Find j such that 2/3 - 2/3*j**a + 2/3*j - 2/3*j**3 = 0.
-1, 1
Let c(n) = 4 + 2*n**2 - n - 10*n**2 - 3*n**2 + 12*n**2 - 2. Let z(u) = u**2 - 2*u + 3. Let g = -2 - -4. Let i(w) = g*z(w) - 3*c(w). Factor i(l).
-l*(l + 1)
Let p(d) = -d**3 - 8*d**2 - 5*d - 35. Let l be p(-8). Determine k so that 19*k**2 - 15*k**3 + 0*k**5 + 6*k**5 - 9*k**2 - k**l = 0.
-2, 0, 1
Let h be (-16)/56*-3 - 1820/(-1274). Find v, given that 3/7*v - 4/7*v**4 + 17/7*v**3 + 0 - h*v**2 = 0.
0, 1/4, 1, 3
Let k = 104033 - 104031. Determine a so that k*a + 0 + 1/3*a**2 = 0.
-6, 0
Let u(d) be the second derivative of 3*d**5/160 + 3*d**4/16 - 37*d**3/16 + 45*d**2/8 + 1255*d - 1. Let u(w) = 0. Calculate w.
-10, 1, 3
Let l(w) = 37 + 31*w - 7*w - w**2 + 21*w + 31 + 33. Let t(d) = -16*d - 34. Let s(z) = -2*l(z) - 7*t(z). Factor s(g).
2*(g + 2)*(g + 9)
Let h(t) be the second derivative of 2*t**6/15 - 79*t**5/5 + 1597*t**4/3 - 910*t**3 - 6084*t**2 + 273*t. Let h(d) = 0. Calculate d.
-1, 2, 39
Let w = -8545150/7 - -1220736. Find p, given that 2/7*p - 4/7*p**2 + 2/7 - 4/7*p**3 + 2/7*p**4 + w*p**5 = 0.
-1, 1
Let z = 12488 + -62422/5. Let l(j) be the second derivative of -13/60*j**4 + 2*j**3 - 1/150*j**6 - 27*j + 0 - z*j**2 - 1/10*j**5. Factor l(r).
-(r - 1)**2*(r + 6)**2/5
Let f = 10325/156 + -263/156. Solve -f*o**2 - 8 + 115/2*o**3 + 36*o + 9/2*o**5 - 51/2*o**4 = 0.
1, 4/3
Let i = 18601 - 18601. Let l(b) be the second derivative of i*b**4 + 1/30*b**6 - 1/2*b**2 + 1/3*b**3 - 1/10*b**5 + 0 - 25*b. Determine z so that l(z) = 0.
-1, 1
Let w(d) be the third derivative of -d**6/420 + d**5/70 + 99*d**4/28 + 81*d**3 - 90*d**2. Factor w(k).
-2*(k - 21)*(k + 9)**2/7
Suppose 19 = 2*z + 5*g, -16*g - 564 + 524 = -2*z. Determine j so that 0 + z*j**2 + 9/4*j + 15/4*j**3 = 0.
-3, -1/5, 0
Let j(a) be the third derivative of -a**8/336 + 4*a**7/15 - 313*a**6/30 + 1164*a**5/5 - 3240*a**4 + 28800*a**3 - a**2 + 119. Factor j(p).
-(p - 12)**3*(p - 10)**2
Let t(a) be the first derivative of -a**4/46 - 862*a**3/69 - 1712*a**2/23 - 3416*a/23 + 9739. Let t(h) = 0. Calculate h.
-427, -2
Let b = -17257/4 - -8629/2. Suppose -b*c - 3/8*c**2 + 0 = 0. What is c?
-2/3, 0
Let r = -20002 + 20007. Let k(t) be the second derivative of 1/5*t**r - 2/3*t**3 + 0 + 2/3*t**4 - 4*t**2 - t. Let k(o) = 0. Calculate o.
-2, -1, 1
Let u(w) = -w**3 + 5*w**2 + 22*w + 2. Let i be u(-3). Let t(p) be the second derivative of 0 + 1/12*p**3 + 0*p**2 + 1/12*p**4 + 1/40*p**5 + i*p. Factor t(b).
b*(b + 1)**2/2
Let w(a) be the second derivative of 2*a**7/21 + 42*a**6/5 + 138*a**5/5 - 2420*a**4/3 + 3952*a**3 - 8640*a**2 + 172*a - 18. Let w(k) = 0. Calculate k.
-60, -9, 2
Let k(m) be the second derivative of -m**6/20 - 48*m**5/5 - 2709*m**4/4 - 18490*m**3 + 238521*m**2/4 + 2265*m. Suppose k(i) = 0. Calculate i.
-43, 1
Let v = 2/65 + 313/390. Suppose 0 = -6*u - 277 + 289. Determine w, given that 0*w**u + 0 - v*w**4 + 1/3*w**3 + 0*w + 1/2*w**5 = 0.
0, 2/3, 1
Let s(y) be the second derivative of -9/40*y**5 + 1/30*y**6 + 1/3*y**3 + 6*y**2 - 19 + 2*y - 11/12*y**4 + 1/84*y**7. Factor s(a).
(a - 3)*(a - 1)*(a + 2)**3/2
Let g(f) be the first derivative of -f**9/1512 - f**8/210 + f**7/210 + f**6/15 - 3*f**5/20 + 15*f**3 - 9. Let j(d) be the third derivative of g(d). Factor j(v).
-2*v*(v - 1)**2*(v + 3)**2
Let h = -707351/2 + 353676. Factor 27/2*z + 0 + h*z**2.
z*(z + 27)/2
Let k(x) be the second derivative of -x**4/12 - 56*x**3/3 + 114*x**2 - 169*x + 2. Factor k(a).
-(a - 2)*(a + 114)
Factor -4*j - 35*j**4 - 25*j**2 + 2852 - 2852 + 55*j**3 + 5*j**5 + 4*j.
5*j**2*(j - 5)*(j - 1)**2
Let r(i) = -4*i - 82. Let q be r(-21). Suppose 0 = 16*l - 17*l - 2, -q*d + 5*l = -14. Factor -4/19 + 18/19*k**d + 14/19*k.
2*(k + 1)*(9*k - 2)/19
Suppose 0 = o - 27 - 20. Let t = o + -45. Factor -4*j**4 + 4*j**2 + 2*j - t*j**5 - 5*j + j + 4*j.
-2*j*(j - 1)*(j + 1)**3
Let m(z) be the third derivative of z**6/1440 - z**5/160 + z**4/48 - 11*z**3/3 + z**2 + 10. Let c(t) be the first derivative of m(t). Factor c(f).
(f - 2)*(f - 1)/4
Let x(d) be the second derivative of 0*d**3 + 16 + 1/90*d**5 + 0*d**2 + 3*d + 7/27*d**4. Factor x(t).
2*t**2*(t + 14)/9
Let q be 2/9 + 272/72. Let 68*s + 13*s**3 + 24 - 299*s**2 + 15*s**3 + 367*s**2 + 4*s**q = 0. Calculate s.
-3, -2, -1
Let m(f) be the first derivative of 181 - 375/2*f**2 - 3/5*f**5 + 0*f - 45/4*f**4 - 75*f**3. Factor m(i).
-3*i*(i + 5)**3
Let j = -27 - -36. Suppose 5*i = 1 + j. Determine l, given that 13*l**2 - 2*l + 20*l**2 - 35*l**i = 0.
-1, 0
Factor 880/3*x + 248 + 46*x**2 + 2/3*x**3.
2*(x + 1)*(x + 6)*(x + 62)/3
Let l(j) = 8*j**2 - 114*j - 224. Let w be l(16). What is u in 0*u**2 + 2/13*u**3 + w - 2/13*u = 0?
-1, 0, 1
Let h = -79723 - -79727. Let 1/5*s**h + 16/5 + 8/5*s + 1/10*s**5 - 8/5*s**2 - 4/5*s**3 = 0. Calculate s.
-2, 2
Let r = 516 + -224. Find p such that 7*p**2 + r*p + 3364 - 524*p - 3*p**2 = 0.
29
Let t = -534903/7 - -76421. Factor t - 114/7*i + 10/7*i**2.
2*(i - 11)*(5*i - 2)/7
Let j = 21478 + -21478. Let d(s) be the first derivative of 3*s**3 - 40 - 3/4*s**4 + 6*s**2 + j*s. Factor d(h).
-3*h*(h - 4)*(h + 1)
Solve 576*n**2 - 18*n**2 - 12*n**3 - 1213*n**3 + 166*n**2 - 18*n**4 - 2029*n**3 = 0 for n.
-181, 0, 2/9
Let f(b) be the first derivative of -3*b**4/16 - 22*b**3/3 - 113*b**2/8 - 7*b - 1309. Factor f(w).
-(w + 1)*(w + 28)*(3*w + 1)/4
Let p = 5486 + -5481. Let h(x) be the third derivative of -1/11*x**4 - 1/660*x**6 + 1/55*x**p + 0*x + 7*x**2 + 8/33*x**3 + 0. Determine j, given that h(j) = 0.
2
Suppose -j - y = 0, -5*y + 2 = 4*j + 4. Suppose 17*t + 10 = 22*t. Factor 8 + 8*l + 4*l**3 - 32*l**t + 10*l**4 - 11*l**2 + 13*l**j.
2*(l - 1)**2*(l + 2)*(5*l + 2)
Let o be (-8)/(16*(-85)/204). Factor 1/5*p**2 - 7/5*p + o.
(p - 6)*(p - 1)/5
Let m = 16778 - 117674/7. Let o = m - -236/7. Determine w so that o*w - 12/7*w**2 + 0 - 4/7*w**5 - 4/7*w**3 + 12/7*w**4 = 0.
-1, 0, 1, 2
Let k(r) be the first derivative of r**5/20 + r**4/16 - 3*r**3/4 + 11*r**2/8 - r - 478. Find p such that k(p) = 0.
-4, 1
Suppose -268 = -4*w - 2*p, -p - 272 = -4*w - 4*p. Factor 34*u + 31*u - 8*u**3 - w*u - 4*u**4.
-4*u**3*(u + 2)
Let h(o) be the third derivative of o**7/490 + 3*o**6/70 - 3*o**5/28 - 13*o**4/28 - 1949*o**2. Factor h(w).
3*w*(w - 2)*(w + 1)*(w + 13)/7
Let o(q) be the second derivative of -q**4/10 + 3*q**3/10 + 27*q**2 + 1498*q. Factor o(s).
-3*(s + 6)*(2*s - 15)/5
Suppose 895*i - 3*d + 31 = 894*i, 0 = -2*i - 3*d + 37. Determine b so that -2/9*b**4 + 10/9*b**i - 2/9*b**5 + 2/3*b**3 + 0 + 4/9*b = 0.
-1, 0, 2
Let x(c) be the second derivative of -121*c**7/70 + 11*c**6/15 - 2*c**5/15 - 11*c**4/12 + 2*c - 6. Let j(b) be the third derivative of x(b). Solve j(u) = 0.
2/33
Let j(x) be the first derivative of -32/3*x**3 + 0*x - 24/5*x**5 - 2/3*x**6 - 12*x**4 + 60 + 0*x**2. Let j(w) = 0. What is w?
-2, 0
Let p(d) = 7*d**3 - 1188*d**2 - 2388*d - 1199. Let m(x) = -48*x**3 + 8316*x**2 + 16716*x + 8392. Let o(c) = -3*m(c) - 20*p(c). Let o(b) = 0. Calculate b.
-1, 299
Factor -2/3*m**2 + 172/3*m + 178.
-2*(m - 89)*(m + 3)/3
Determine h so that 0*h**2 + 0*h - 2/3*h**4 - 1/3*h**5 + h**3 + 0 = 0.
-3, 0, 1
Let n(t) = -4*t**4 + 2*t**3 + t**2 + 15*t - 5. Let c(b) = -6*b**3 - 1 - 336*b**2 + 335*b**2 + 7*b**3 + 2*b. Let j(i) = -5*c(i) + n(i). Factor j(o).
-o*(o + 1)**2*(4*o - 5)
Let l(x) be the first derivative of 4/15*x**3 - 1/10*x**4 - 49 + 3*x**2 - 72/5*x. Factor l(y).
-2*(y - 3)**2*(y + 4)/5
Let n be 21496/(-182716) - (0 + 196/(-221)). Factor -n*j**4 - 6/13*j**2 + 16/13*j**3 + 0 + 0*j.
-2*j**2*(j - 1)*(5*j - 3)/13
Let z = 12862/106437 - 20/6261. Find c, given that -4/17 - z*c**2 + 6/17*c = 0.
1, 2
Let c be 6/5*5/3. Let f(t) be the first derivative of -6*t + 6 - 2*t**c + 2/3*t**3. Factor f(m).
2*(m - 3)*(m + 1)
Let a(z) be the first derivative of 0*z - 11/16*z**4 + 3/4*z**3 + 1