 - 4*w + 95 - 83. Let q(n) be the first derivative of 29 - 1/28*n**v + 0*n - 1/21*n**3 + 1/7*n**2. Suppose q(u) = 0. Calculate u.
-2, 0, 1
Let d = -42821/72 + 2379/4. Let l(a) be the second derivative of -d*a**4 - a - 25/12*a**2 + 0 + 5/18*a**3. Solve l(i) = 0 for i.
5
Let l(t) be the first derivative of -2*t**3/15 - 186*t**2/5 - 362*t + 1014. Factor l(y).
-2*(y + 5)*(y + 181)/5
Let -190/7*m - 2/7*m**3 + 50 + 34/7*m**2 = 0. Calculate m.
5, 7
Suppose 2*g + 14 = 5*k - 0*k, g + 12 = 5*k. Factor -9/2 - 3/2*d**k + 6*d.
-3*(d - 3)*(d - 1)/2
Let o(m) be the third derivative of 9*m**4/8 - 3*m**3/2 + 16*m**2. Let j(s) = -s**2 - 81*s + 28. Let x(h) = -6*j(h) - 17*o(h). Find y such that x(y) = 0.
-5, 1/2
Let y be (-2)/(2/4 - 1). Let l be 69/((-17940)/8)*-2*5. Factor 0 - 14/13*g**3 + 10/13*g**y + l*g**2 + 0*g.
2*g**2*(g - 1)*(5*g - 2)/13
Let d(i) be the third derivative of -i**7/5040 + i**6/1440 + i**5/40 + 5*i**4/24 - 4*i**3/3 - 25*i**2. Let b(n) be the second derivative of d(n). Factor b(h).
-(h - 3)*(h + 2)/2
Let v(r) = 4*r + 108. Let d be v(10). Solve -4*t**3 + 5*t**3 - 2*t**5 + 3*t**5 - d*t**2 + 142*t**2 + 4*t**4 = 0.
-3, -2, 0, 1
Factor 47*l + 3*l + 2927*l**3 - 2918*l**3 - 7*l - 52*l**2.
l*(l - 1)*(9*l - 43)
Solve -16 + 474*q + 17*q**3 + 792*q**2 + 4 + 115*q**3 + 147*q + 27*q**3 = 0.
-4, -1, 1/53
Suppose 5*d + 3*h - 291 = 0, 5*h + 44 = 2*d - 60. Let p(b) = 43*b - 339. Let v be p(8). Determine a so that 4*a**3 - 57*a**2 + 4*a**v - 8*a**4 + d*a**2 = 0.
0, 1
Let t be (-1)/3 - 0 - 14/(-6). Suppose 0*v = -t*v + 6. Determine y, given that 9 - 2*y + v*y**2 + 8*y + 6*y = 0.
-3, -1
Let k be (64/(-48))/(14/(-21)). Let o = 9048/7 + -1290. Find v, given that -12/7*v + 2/7*v**k + o = 0.
3
Let p be (-4 + (-54)/(-12))*40/60. Suppose -5*x + 12 + 3 = 0. Solve p*q**2 + 2*q + x = 0.
-3
Let s = -503 - -505. Factor -8*t**s + 40*t + 24 - 18*t**3 + 37*t**3 + 12*t**2 + 14*t**2 - 17*t**3.
2*(t + 1)*(t + 2)*(t + 6)
Let m(c) be the third derivative of -c**7/70 + c**6/5 + c**5/2 - c**4 - 9*c**3/2 + c**2 - 173. Factor m(l).
-3*(l - 9)*(l - 1)*(l + 1)**2
Let x be (-3 + (-9)/(-5))/((-6)/15). Factor 57*u - x*u**2 + 568 - 300 - 322.
-3*(u - 18)*(u - 1)
Let y(v) be the first derivative of 545*v**3/3 + 5*v**2 - 2100. Factor y(s).
5*s*(109*s + 2)
Let r(t) be the second derivative of -t**5/10 - t**4/3 - t**3/3 + 190*t. Factor r(k).
-2*k*(k + 1)**2
Suppose -139/5*z**3 + 1/5*z**4 - 3/5*z**2 - 278/5 + 419/5*z = 0. Calculate z.
-2, 1, 139
Suppose -24*k + 31*k = 84. Factor -k*h**3 + 4*h**4 + 7*h**2 - 21*h**2 - 22*h**2 - 20*h.
4*h*(h - 5)*(h + 1)**2
Factor -64/3*a + 2/9*a**2 - 392/9.
2*(a - 98)*(a + 2)/9
Let a(q) be the second derivative of -5*q**4/4 + 2015*q**3/6 - 335*q**2 - 340*q + 4. Factor a(x).
-5*(x - 134)*(3*x - 1)
Let n(f) be the first derivative of 0*f + 1/4*f**2 - 1/8*f**4 + 1/10*f**5 - 1/6*f**3 - 9. Factor n(g).
g*(g - 1)**2*(g + 1)/2
Let j(l) be the second derivative of -5*l**4/24 - 580*l**3/3 - 67280*l**2 - 723*l. Factor j(z).
-5*(z + 232)**2/2
Let y(c) be the second derivative of 1/12*c**4 - 112*c - 3/7*c**2 + 1/28*c**5 - 1/210*c**6 - 5/42*c**3 + 0. Suppose y(o) = 0. What is o?
-1, 1, 6
Let d(v) be the third derivative of -5/132*v**6 + 5/33*v**4 - 71*v**2 + 5/1848*v**8 - 4/33*v**3 - 1/1155*v**7 + 0*v + 1/66*v**5 + 0. Solve d(p) = 0 for p.
-2, -1, 1/5, 1, 2
Let s(k) be the third derivative of -4*k**3 + 0 + 3/2*k**4 - 3/10*k**5 + 1/40*k**6 + 0*k + 163*k**2. Factor s(g).
3*(g - 2)**3
Factor 57 - 12 - 30*m**3 - 45*m**2 + 403*m + 25*m**3 - 398*m.
-5*(m - 1)*(m + 1)*(m + 9)
Let w(r) = -r**3 - 9*r**2 + 1. Let g be w(-9). Let f be (4 - (g + -2))*(-112)/(-140). Factor 10*a**4 - 4*a**f - 2*a**4 + 2*a**3 - 5*a**4.
-a**3*(a - 2)
Let f = -9/9019 + -15260085/63133. Let s = f - -242. Find k such that -6/7*k**2 + s*k**5 - 4/7*k + 0 + 6/7*k**4 + 2/7*k**3 = 0.
-2, -1, 0, 1
Let w(i) be the second derivative of -i**6/90 + 10*i**5 - 4899*i**4/2 - 30300*i**3 - 275427*i**2/2 - 9713*i. Factor w(t).
-(t - 303)**2*(t + 3)**2/3
Let p = 526 + -513. Solve -4*x**2 + 2075*x**3 - p*x + x - 2074*x**3 = 0 for x.
-2, 0, 6
Let x = 18 - 10. Suppose 5*n - x = 3*n. Find w such that -22*w**4 + 29*w**3 + 0 - 7*w**3 - n*w**4 + 30*w**2 - 22*w - 4 = 0.
-1, -2/13, 1
Let t(u) be the second derivative of -2*u**7/21 + 11*u**6/5 - 37*u**5/10 - 39*u**4/2 - 15*u**3 - 3823*u. Find z, given that t(z) = 0.
-1, -1/2, 0, 3, 15
Factor -5/4*f**3 - 1/4*f**4 + 89/4*f**2 + 0 - 195/4*f.
-f*(f - 5)*(f - 3)*(f + 13)/4
Let x = -147 - -142. Let m(g) = 7*g**2 + 226*g + 5827. Let a(j) = 4*j**2 + 114*j + 2913. Let n(t) = x*a(t) + 3*m(t). Factor n(p).
(p + 54)**2
Let w(y) be the second derivative of -y**5/90 - 61*y**4/9 - 1267*y**3 - 131044*y**2/9 - y - 1510. Factor w(r).
-2*(r + 4)*(r + 181)**2/9
Let i(f) = -664*f - 33197. Let t be i(-50). Factor 0*s**t - 1/9*s**4 + 0 - 1/9*s**5 + 0*s**2 + 0*s.
-s**4*(s + 1)/9
Let o(t) be the first derivative of -56 + 39/10*t**2 + 1/5*t**3 + 36/5*t. Let o(w) = 0. What is w?
-12, -1
Let w be ((90/24)/(-15))/(8/(-128)). Let f(t) be the second derivative of -1/18*t**3 + 0 - 19*t + 0*t**2 - 1/72*t**w. Find u such that f(u) = 0.
-2, 0
Let x(d) = -d**3 - d**2 - d. Let a(l) = -l**4 + 3*l**3 - 10*l**2 + 2*l. Let k(r) = -r**2 + 13*r - 11. Let g be k(12). Let i(h) = g*a(h) - 2*x(h). Factor i(c).
-c*(c - 2)**2*(c - 1)
Let l(u) = -3*u + 17. Let d be l(-7). Suppose -d*z = -34*z - 12. Determine t, given that 7*t**2 - 4*t**2 + t**z + 5*t**3 = 0.
-1/2, 0
Let t(w) = w**5 + 27*w**4 + 74*w**3 - 3*w. Let k(u) = 6*u**5 + 138*u**4 + 372*u**3 - 14*u. Let i(b) = -3*k(b) + 14*t(b). Factor i(v).
-4*v**3*(v + 4)*(v + 5)
Let p = 455/6936 - -103/1734. Factor -p*x**2 + 7/4 - 5/8*x.
-(x - 2)*(x + 7)/8
Let k be (3 + (-13)/12*2)*(-160)/(-100). Let q(j) be the third derivative of -1/2*j**4 + 0 + 1/15*j**5 - 47*j**2 + 0*j + k*j**3. Factor q(l).
4*(l - 2)*(l - 1)
Suppose 4*i + 4*n = -278 + 26, -2*n = 6. Let q be (-6)/((-36)/i - 67/45). Factor -3/4*t**3 + 15/4 + q*t + 9/4*t**2.
-3*(t - 5)*(t + 1)**2/4
Let z(f) = 4*f**2 - 100*f + 2056. Let s(y) = y**2 + y - 3. Let k(u) = 8*s(u) - z(u). Factor k(x).
4*(x - 13)*(x + 40)
Let q(s) be the first derivative of -5*s**7/294 + 2*s**6/21 + 19*s**5/105 + 2*s**4/21 - 10*s**2 + 3. Let d(g) be the second derivative of q(g). Solve d(o) = 0.
-2/5, 0, 4
Let d(y) = 2*y**2 - 3*y**2 + 35*y + 135 - 7. Let o(z) = -34*z + 9*z**2 - 7*z**2 - 3606 - 70*z + 3222. Let x(r) = 8*d(r) + 3*o(r). Solve x(l) = 0.
-8
Let b(o) be the second derivative of -5*o**4/12 + 200*o**3/3 - 4000*o**2 + 306*o + 2. Factor b(h).
-5*(h - 40)**2
Let f be ((-18)/6)/(-6) - -10*27/324. Let -f - 1/3*t**2 + 4/3*t = 0. What is t?
2
Let c be (-12)/66 + 40/(-22) + 39. Let r = 39 - c. Solve -3*d**3 + 41*d + 0*d**r - 3 - 38*d + 3*d**2 = 0 for d.
-1, 1
Solve 9120/17*b**4 + 3046/17*b**3 + 0*b + 0 + 254/17*b**2 - 72/17*b**5 = 0.
-1/6, 0, 127
Let m(u) = -18*u**2 + 137*u - 22. Let k(o) = -o**2 - 17*o + 2. Let a(b) = 5*k(b) + m(b). Factor a(t).
-(t - 2)*(23*t - 6)
Let l be -1*4 + 30/(-342)*-45 - 5977/(-13205). Let 0 + 24/5*i - l*i**3 + 2/5*i**2 = 0. What is i?
-3, 0, 4
Let s(r) = -3*r**2 - 288*r - 5826. Let c be s(-67). Find j, given that -c*j**2 - 3/2*j + 3/2*j**3 + 3 = 0.
-1, 1, 2
Let a = 9171/83 - 21869/249. Factor 139/3*z - 1/3*z**3 + 70/3 + a*z**2.
-(z - 70)*(z + 1)**2/3
Suppose 5457/8*r - 2601/4 - 202*r**2 + 13/4*r**4 + 1/8*r**5 + 19/4*r**3 = 0. Calculate r.
-17, 2, 3
Let n(j) be the third derivative of j**7/42 - j**6/4 - j**5/12 + 25*j**4/4 + 1112*j**2. Factor n(l).
5*l*(l - 5)*(l - 3)*(l + 2)
Let l = 61087 - 61084. Factor -15*t + 11/2*t**2 - 1/2*t**l + 0.
-t*(t - 6)*(t - 5)/2
Let x = 79552 + -5488907/69. Let h = x + -45/23. Factor 0 + 4/3*k - h*k**2 - 10/3*k**5 + 26/3*k**4 - 6*k**3.
-2*k*(k - 1)**3*(5*k + 2)/3
Let u be (-50)/45 - (-18054)/16200. Let y(g) be the third derivative of u*g**6 - 1/1050*g**7 + 3*g**2 + 1/30*g**3 + 0*g + 0*g**5 - 1/60*g**4 + 0. Factor y(c).
-(c - 1)**3*(c + 1)/5
Let h(i) be the second derivative of i**6/240 - 5*i**5/16 - 211*i**4/96 - 67*i**3/12 - 27*i**2/4 - 42*i + 6. Determine u, given that h(u) = 0.
-2, -1, 54
Let g = -68 + 80. Solve -96*m**2 - 12*m - 32*m**4 + 52*m**3 - 8*m + g*m**5 - 172*m**3 = 0 for m.
-1, -1/3, 0, 5
Suppose 1722*i - 14 + 8 = -6. Let 6/11*c**2 - 6/11*c**4 - 12/11*c**3 + 12/11*c + i = 0. Calculate c.
-2, -