*w**3 - 14*w + o*w**4 + 8*w**3 + 2*w.
w*(w + 2)*(w + 3)*(5*w - 2)
Let f(q) be the third derivative of q**8/1848 + q**7/165 + q**6/60 + q**5/66 + 15*q**2 + 25*q. Determine t, given that f(t) = 0.
-5, -1, 0
Let q = 7537/30 - 2509/10. Factor -2/3 - q*j + j**2.
(j - 1)*(3*j + 2)/3
Let m = -97581 - -97584. Factor -1/2*l**4 - l**m + 0*l + 3/2*l**2 + 0.
-l**2*(l - 1)*(l + 3)/2
Let w(a) be the second derivative of a**4/12 + 340*a**3/3 + 57800*a**2 + 1684*a. Factor w(t).
(t + 340)**2
Let 0*v + 99*v**3 + 195*v**2 + 3/4*v**4 + 0 = 0. Calculate v.
-130, -2, 0
Factor -19306*j**2 + 0 - 38809/4*j + 787/4*j**3 - 1/2*j**4.
-j*(j - 197)**2*(2*j + 1)/4
Suppose 72*p + 15 - 473 = -170. Solve -2*t**3 - 1/5*t**p - 11/5 + 2*t + 12/5*t**2 = 0 for t.
-11, -1, 1
Let h be ((-34)/(-33))/1 - ((-2037)/(-22407))/((-2)/(-8)). Factor h*x**2 - 52/3*x + 338/3.
2*(x - 13)**2/3
Let l = 485 + -454. Let x be ((1/2)/1)/(l + -30). Factor -x*o**3 + 2*o**2 - 3/2*o + 0.
-o*(o - 3)*(o - 1)/2
Let i(z) = 4*z**3 + 330*z**2 + 6720*z - 7058. Let n(a) = a**2 + 1. Let y(t) = i(t) + 2*n(t). Find k such that y(k) = 0.
-42, 1
Let s be 652/163 + (-2)/(8/10). Let h(j) be the first derivative of -j - 1/4*j**3 + s*j**2 - 5/16*j**4 - 8. Let h(m) = 0. What is m?
-2, 2/5, 1
Suppose 0 = 4*v - 4*k + 64 + 16, 4*k + 64 = -5*v. Let l be 22 + v + 22/(-4). What is d in 3/4*d + 0*d**2 + l - 1/4*d**3 = 0?
-1, 2
Suppose -8 = 14*r - 120. Suppose r*g = -2*g. Suppose -4/7*u**2 + g - 8/7*u = 0. Calculate u.
-2, 0
Let j(m) be the first derivative of m**3 - 46*m - 11*m - 91*m**2 + 105 + 64*m**2. Factor j(k).
3*(k - 19)*(k + 1)
Determine o so that 41/2*o + 1/2*o**2 + 90 = 0.
-36, -5
Let u be (2/(-2))/(11/(-77)). Let v = -474 + 496. Factor 1 + 21*l - 3*l**3 - 4 - v + u.
-3*(l - 2)*(l - 1)*(l + 3)
Factor 135/2 - 3*y**2 - 4*y**3 + 36*y - 1/2*y**4.
-(y - 3)*(y + 3)**2*(y + 5)/2
Suppose -72 = 2*m - 2*n, 4*m - 2*n = 5 - 147. Let l be (m/(-98))/(14/147). Suppose -3 - 6*u - l*u**2 - 3/4*u**3 = 0. What is u?
-2, -1
Let o(z) be the second derivative of z**7/126 - 11*z**6/90 + 7*z**5/10 - 17*z**4/9 + 20*z**3/9 - 8345*z. Factor o(l).
l*(l - 5)*(l - 2)**3/3
Let r(b) = -16*b + 10. Let h be r(0). Factor -25*d - h*d**3 - 3*d**2 - 6 + 31*d**3 - 2*d**3 - 15*d**3.
(d - 3)*(d + 2)*(4*d + 1)
Let t(p) be the third derivative of p**9/3780 + p**8/210 + p**7/90 + 187*p**4/24 - 143*p**2. Let f(s) be the second derivative of t(s). Solve f(b) = 0.
-7, -1, 0
Let x be (-896)/(-784)*-1*(-3)/4. Factor -x + 2/7*j**2 - 4/7*j.
2*(j - 3)*(j + 1)/7
Let b(n) be the first derivative of -n**5/20 + 195*n**4/16 - 4225*n**3/4 + 274625*n**2/8 - 598. Factor b(a).
-a*(a - 65)**3/4
Let h(v) = v**3 + 10*v**2 - 12*v - 8. Let b be h(-11). Let y be (384/1728)/(4/9). Determine r, given that 3/2 - y*r**b + 1/2*r - 3/2*r**2 = 0.
-3, -1, 1
Let f(v) be the second derivative of v**5/60 - 25*v**4/36 + 53*v**3/6 - 45*v**2/2 - 2144*v. Factor f(x).
(x - 15)*(x - 9)*(x - 1)/3
Let h(k) = k**5 + k**4 + 2*k**2 - k + 1. Let g(r) = 28*r - 54. Let z be g(2). Let d(b) = b**5 - b**3 + 4*b**2 - 2*b + 2. Let p(j) = z*h(j) - d(j). Factor p(s).
s**3*(s + 1)**2
Suppose -23 = -5*a + 2*l, a - 7 - 1 = -3*l. Let w be (30/40)/(a/8). Let -4/5 - 1/5*u**3 - 9/5*u - w*u**2 = 0. Calculate u.
-4, -1
Let q be (845/52 - 14) + 72/96. Solve -4/13 - 132/13*w**2 - 60/13*w**4 + 154/13*w**q + 42/13*w = 0.
1/6, 2/5, 1
Let p(x) be the second derivative of 7*x**6/120 + 11*x**5/20 + 47*x**4/48 - 37*x**3/12 - 3*x**2 + 5917*x. Determine c so that p(c) = 0.
-4, -3, -2/7, 1
Let z(f) be the second derivative of f**4/6 + 689*f**3/21 + 42*f**2 + 31*f. Factor z(v).
2*(v + 98)*(7*v + 3)/7
Let k(f) be the second derivative of f**6/24 - f**5/3 - 5*f**4/8 + 15*f**3 - 10*f**2 - 39*f. Let q(a) be the first derivative of k(a). Factor q(d).
5*(d - 3)**2*(d + 2)
Let h be 0/162*1/4. Let t(w) be the second derivative of h*w**2 - 9/4*w**5 + 0 - 1/14*w**7 + 0*w**3 - 7/10*w**6 - 9/4*w**4 - 12*w. Let t(s) = 0. Calculate s.
-3, -1, 0
Let h(v) = -51*v**2 + 380*v + 1242. Let m(x) = 66*x**2 - 507*x - 1656. Let f(i) = 9*h(i) + 7*m(i). What is s in f(s) = 0?
-3, 46
Let r(l) be the first derivative of -1/80*l**6 - 12 + 21/2*l**2 - 3/4*l**4 + 0*l + 2*l**3 - 3/16*l**5. Let g(s) be the second derivative of r(s). Factor g(w).
-3*(w + 4)**2*(2*w - 1)/4
Let z be (-8)/(-84) - 3725/55*18/(-189). Factor -6/11*k + 6/11*k**2 - z.
6*(k - 4)*(k + 3)/11
Factor 124098*x**2 - 6160*x + 1712*x + 7041 - 7001 - 24642*x**3.
-2*(x - 5)*(111*x - 2)**2
Let x(k) be the first derivative of -k**4/14 - 60*k**3 - 18900*k**2 - 2646000*k - 281. Determine n so that x(n) = 0.
-210
Let m(y) be the first derivative of -4*y**3/3 - 86*y**2 + 752*y + 4832. Let m(s) = 0. What is s?
-47, 4
Let a be ((-368)/(-322))/(4/26). Solve -a*r**2 - 12/7*r + 0 - 16/7*r**3 = 0.
-3, -1/4, 0
Let 9/2*n**3 - 3/2*n**4 + 0*n + 27/2*n**2 - 1/2*n**5 + 0 = 0. Calculate n.
-3, 0, 3
Let y(k) be the first derivative of k**6/48 - k**5/5 + 7*k**4/32 - 3606. Solve y(l) = 0.
0, 1, 7
Suppose -3*q = 2*x - 17, 3*x - 33 = -0*x + 3*q. Let 6*f**2 + 5*f**2 + 9*f + 3*f**2 - f**4 - 11*f**2 - 5*f**3 + x + 8*f = 0. What is f?
-5, -1, 2
Suppose -2*n + 23 - 19 = 4*y, 4*n = 2*y - 2. Let s(f) be the first derivative of 0*f**2 + 22 - 1/8*f**3 + n*f + 3/16*f**4. Factor s(a).
3*a**2*(2*a - 1)/8
Let b = 67 + -63. Suppose -d = -3*h + 10, -9*d - 3*h + 16 = -7*d. Solve 216/5*s**3 - 144/5*s**d - 4/5 + 8*s - 108/5*s**b = 0.
1/3, 1
Suppose 5942*l = 5950*l. Let s(d) be the third derivative of 0*d**4 + 0*d + 0*d**3 - 1/1995*d**7 + 9*d**2 + 2/285*d**5 + 0*d**6 + l. Factor s(p).
-2*p**2*(p - 2)*(p + 2)/19
Let o = 1679 - 1677. Let i(z) be the third derivative of 0*z + 0 + 1/36*z**3 + 7*z**o + 0*z**4 - 1/360*z**5. Determine u so that i(u) = 0.
-1, 1
Solve -21/2*g**4 - 11607/2*g**3 - 6594*g + 3300 - 15687*g**2 = 0.
-550, -2, -1, 2/7
Let u(g) be the third derivative of -1/8*g**4 - 1/12*g**5 - g**2 + 0 - 40*g - 1/120*g**6 + 1/210*g**7 + 0*g**3. Let u(v) = 0. What is v?
-1, 0, 3
Let u(f) be the first derivative of 4/17*f**3 - 121 + 9/17*f**2 - 4/17*f - 5/34*f**4. Find i such that u(i) = 0.
-1, 1/5, 2
Suppose -70/11*o + 0 + 2/11*o**4 + 2*o**3 + 46/11*o**2 = 0. Calculate o.
-7, -5, 0, 1
Let g(a) = -70*a + 37. Let c be g(0). Determine b, given that 406*b - 102*b + 321*b**2 - 19 + 35*b**2 - 36*b**4 + c + 96*b**3 + 62 = 0.
-1, -2/3, 5
Suppose x + x + 4*l - 18 = 0, -5*x + 85 = 2*l. Suppose 0*u + 5*p = 2*u, -2*p = 3*u - x. Determine b so that 3*b**u + 3*b**4 + 691 - 691 = 0.
-1, 0
Let n = -400154 + 1600637/4. Suppose -3/4*m**5 - 3/2*m**2 - 9/2*m**3 - 9/4 + n*m + 15/4*m**4 = 0. Calculate m.
-1, 1, 3
Suppose 0 = 13*j - 5*j - 40. Let t be -1*-3*((-186)/(-36) - j). Solve -t*v**2 + 8*v - 32 = 0 for v.
8
Let y(w) be the second derivative of -w**5/120 - w**4/24 + 4*w**3/9 - w**2 + 427*w + 2. Solve y(m) = 0 for m.
-6, 1, 2
Let r(n) be the third derivative of 7/75*n**5 + 24/5*n**3 + 1/300*n**6 + 0 + 43*n**2 + n**4 + 0*n. Factor r(z).
2*(z + 2)*(z + 6)**2/5
Factor 17/3*g + 4/3*g**3 - 4/3 + 5/6*g**4 - 13/2*g**2.
(g - 1)**2*(g + 4)*(5*g - 2)/6
Suppose -574*s + 3452/3 - 2/3*s**2 = 0. What is s?
-863, 2
Let d(t) = t**2 - 5030*t + 75273. Let h be d(15). Factor -1/2*g**2 - 1152 - h*g.
-(g + 48)**2/2
Let p(i) = -5*i**2 - 5298*i - 6932701. Let j(d) = -11*d**2 - 10604*d - 13865405. Let t(l) = 4*j(l) - 9*p(l). What is r in t(r) = 0?
-2633
Let v(x) = -14*x**4 - 26*x**3 + 10*x**2 + 470*x - 436. Let p(k) = 31*k**4 + 52*k**3 - 26*k**2 - 939*k + 873. Let n(w) = 4*p(w) + 9*v(w). Solve n(m) = 0.
-9, -8, 1, 3
Let p = -5 - -14. Let a be ((-1)/4)/(22/(-352)). Factor -3*z**4 + 4*z**3 + 13*z**4 + p*z**4 - 3*z**a.
4*z**3*(4*z + 1)
Let j(k) be the third derivative of -5/36*k**4 + 0 + 3*k**2 - 1/360*k**5 - 34*k + 0*k**3. Find f, given that j(f) = 0.
-20, 0
Determine g, given that -17*g + g**4 + 4426*g**2 - 331*g**2 - 3886 - 128*g**3 - 210 + 145*g = 0.
-1, 1, 64
Suppose 6/7*o + 0 - 9/7*o**2 + 0*o**3 + 3/7*o**4 = 0. What is o?
-2, 0, 1
Let d be 2 - (-452 - (-12 - 1)). Let a = d + -437. Factor 0*s - 1/3*s**5 + 0 + 5/3*s**3 - s**2 - 1/3*s**a.
-s**2*(s - 1)**2*(s + 3)/3
Suppose 1019/2*a**3 + 1/2*a**4 + 1017/2*a**2 - 509 - 1019/2*a = 0. What is a?
-1018, -1, 1
Let u(x) = 2*x**2 + 33*x - 71. Suppose 48*t = 30*t + 36. Let g be u(t). Factor 9/5*q**2 - 9/5 - 3/5*q + 3/5*q**g.
3*(q - 1)*(q + 1)*(