3 - (-2 - 573/27). Factor 40/3 - 10/3*x**2 - n*x**3 + 8/9*x.
-2*(x - 2)*(x + 2)*(x + 15)/9
Factor -2/17*o**5 + 12/17*o**3 + 56/17*o**2 - 6/17*o**4 + 48/17*o + 0.
-2*o*(o - 3)*(o + 2)**3/17
Let l(j) be the second derivative of j**6/15 - 9*j**5/10 + 23*j**4/6 - 5*j**3 + 2011*j - 2. Determine o so that l(o) = 0.
0, 1, 3, 5
Let x(n) = -7*n**2 + 184*n + 194. Let t(j) = 2*j**2 - 3. Let w(m) = -3*t(m) - x(m). Let w(v) = 0. What is v?
-1, 185
Let f(a) be the first derivative of 4*a**3/3 - 24*a**2 - 291*a + 70. Let b(i) = -6*i**2 + 48*i + 292. Let j(h) = -3*b(h) - 4*f(h). Suppose j(q) = 0. What is q?
-12
Let j(x) be the third derivative of 6*x**2 - 1/18*x**4 + 0*x - 4/9*x**3 + 1/45*x**5 + 6. Factor j(o).
4*(o - 2)*(o + 1)/3
Factor -15/4*j + 5/4*j**3 + 5/2 + 0*j**2.
5*(j - 1)**2*(j + 2)/4
Let i = 105205 + -946843/9. Factor 2*s - 40/9 - i*s**2.
-2*(s - 5)*(s - 4)/9
Let g(f) = -4622*f + 73955. Let d be g(16). Determine x so that -192*x**2 - 10*x**d + 792/5*x - 32 = 0.
-20, 2/5
Suppose -363 = 7*u - 10*u. Factor -u*d**2 + 123*d**2 + 1 - 1.
2*d**2
Let x(w) = -12*w**2 + 1401*w - 2754. Let q(f) = 3*f**2 - 350*f + 688. Let n(b) = 9*q(b) + 2*x(b). Factor n(k).
3*(k - 114)*(k - 2)
Let i(q) = 309*q - 616. Let b be i(2). Let g(h) be the second derivative of -1/3*h**4 + 0*h**b - 4/3*h**3 + 0 - 50*h. Solve g(k) = 0.
-2, 0
Let a be (0/2 + 16/(-12))/((-98)/196). Determine r so that 2/3*r**2 + 8/3*r + a = 0.
-2
Let b(s) = s**2 + 31*s + 168. Let t(v) = v**2 - 13*v - 237. Let h be t(23). Let k be b(h). Factor 0*i + 3/2*i**2 + k + 3/4*i**5 + 3*i**4 + 15/4*i**3.
3*i**2*(i + 1)**2*(i + 2)/4
Factor 19 + 9 - 8 + 18 + 2*f**4 - 40*f**2 - 36*f**3 + 57*f - 21*f.
2*(f - 19)*(f - 1)*(f + 1)**2
Factor 880*r**4 - 84*r**3 - 117*r**2 - 884*r**4 - 1570 - 4991 + 3402*r.
-(r - 3)**2*(2*r + 27)**2
Factor -4 - 27*d + 7/2*d**3 + 15/2*d**2.
(d - 2)*(d + 4)*(7*d + 1)/2
Find u, given that -4/3*u**3 + 4 + 1/3*u**2 + 16/3*u - 1/3*u**4 = 0.
-3, -2, -1, 2
Let b(v) be the third derivative of v**7/105 + v**6/15 + v**5/30 - v**4/2 + 1251*v**2. Factor b(h).
2*h*(h - 1)*(h + 2)*(h + 3)
Let q be 35 + (28886/(-66))/13. Determine b, given that q*b**2 - 2/9*b**3 + 8/9 - 2*b = 0.
1, 4
Solve 75*a**3 + 800 + 230*a**2 + 51*a**3 - 46*a**3 - 80*a - 520*a**2 - 508*a**2 - 2*a**4 = 0 for a.
-1, 1, 20
Factor 168 + 11*g**3 - 728*g**2 - 207*g - 195*g + 147*g - 341*g + 25*g**3.
4*(g - 21)*(g + 1)*(9*g - 2)
Let n(q) = 2*q**4 - 104*q**3 - 164*q**2 + 347*q + 672. Let z(d) = d**4 - 98*d**3 - 164*d**2 + 346*d + 672. Let c(f) = 6*n(f) - 9*z(f). Factor c(h).
3*(h - 2)*(h + 2)**2*(h + 84)
Factor -24*v**3 - 53 + 5 - 12 + 23*v**3 - 139*v - 19*v**2 + 75*v.
-(v + 2)**2*(v + 15)
Let x(f) be the second derivative of -2*f**6/105 + 62*f**5/35 - 961*f**4/21 + 961*f. Factor x(t).
-4*t**2*(t - 31)**2/7
Factor -27019204/3 - 4/3*z**2 + 20792/3*z.
-4*(z - 2599)**2/3
Suppose 0 = -4*v + 2*s + 26, 2*v + 4*s = 5 - 7. Let x = 1542/2723 + 2/389. Factor -6/7*n - 2/7 + 6/7*n**4 + 4/7*n**3 - x*n**2 + 2/7*n**v.
2*(n - 1)*(n + 1)**4/7
Let j be (-17)/51 - (3 + 1)/(6/(-47)). Let k(z) be the third derivative of 0 - 1/60*z**6 - 3/4*z**4 - j*z**2 + 1/5*z**5 + 0*z**3 + 0*z. Factor k(r).
-2*r*(r - 3)**2
Let i be (-92)/(-7) - (-8899)/(-809). Factor -t**4 + 0*t + i*t**3 + 1/7*t**5 + 0 - 9/7*t**2.
t**2*(t - 3)**2*(t - 1)/7
Let z(h) be the third derivative of h**6/40 - h**4/24 - 169*h**2. Let v(f) = 42*f**3 + 114*f**2 + 100*f + 18. Let o(n) = v(n) - 5*z(n). Factor o(i).
3*(i + 1)*(i + 3)*(9*i + 2)
Let n(h) = -h**2 - 20*h - 47. Let t be n(-17). Suppose 3*f**t + 9*f**2 - 9*f**3 - 28*f - 33*f + 58*f = 0. Calculate f.
0, 1
Let q(c) be the first derivative of 13*c**3/12 - 297*c**2/8 - 23*c/2 - 1399. Factor q(r).
(r - 23)*(13*r + 2)/4
Let i(f) be the third derivative of -f**6/720 - f**5/48 + f**4/8 + 20*f**3/3 - 50*f**2. Let b(m) be the first derivative of i(m). Solve b(h) = 0.
-6, 1
Suppose 10/19*o**4 - 136/19*o + 2/19*o**5 + 166/19*o**2 - 82/19*o**3 + 40/19 = 0. Calculate o.
-10, 1, 2
Factor 175/3 + 1/6*r**2 + 25/2*r.
(r + 5)*(r + 70)/6
Let r(q) = -332*q - 72708. Let h be r(-219). What is a in h*a + 1/4*a**2 + 9/8*a**3 + 0 = 0?
-2/9, 0
Let o be -55*(-204)/(-765) + 23. Factor -7/3*t**2 + o*t + 4.
-(t - 4)*(7*t + 3)/3
Factor -988*x**4 - 44*x**3 + 210*x**2 - 1002*x**4 - 296*x + 128 - 991*x**4 + 2983*x**4.
2*(x - 16)*(x - 4)*(x - 1)**2
Let v(a) be the first derivative of 5*a**3/3 + 9690*a**2 + 18779220*a - 6724. Factor v(n).
5*(n + 1938)**2
Let m be -3 + (513/(-54))/(10/(-4)). Let x = 9/28 + 11/140. Solve 0*o**2 - x - m*o + 4/5*o**3 + 2/5*o**4 = 0.
-1, 1
Let l be 28/21 - ((-32)/(-6) + 5). Let k be 0/(6/3)*(-3)/l. What is g in 14/3*g + k - 2/3*g**2 = 0?
0, 7
Let m(q) = -6*q**4 + q**3 + q + 1. Let d(c) = -14*c**4 + 22*c**3 + 24*c**2 - 18*c - 20. Let v(s) = 2*d(s) - 4*m(s). Let v(h) = 0. Calculate h.
-1, 1, 11
Determine o, given that 1/4*o**3 - 3/2*o**2 - 9/2 - 25/4*o = 0.
-2, -1, 9
Let o(t) be the first derivative of -t**4 - 80*t**3 + 2*t**2 + 240*t - 853. Solve o(y) = 0 for y.
-60, -1, 1
Suppose -56*w + 54*w = 4. Let k be ((-1)/w + (-1 - -1))*8. What is m in -6*m**3 + 16*m - 28*m**k + 7*m**3 - 41*m**3 - 20 + 48*m**2 + 0*m**5 + 24*m**5 = 0?
-1, -5/6, 1
Let b(n) = -n. Let t(j) be the third derivative of -16*j**2 - 8*j**3 + 11/12*j**4 + 0*j - 1/20*j**5 + 0. Let y(r) = 2*b(r) - t(r). Factor y(h).
3*(h - 4)**2
Find v, given that -162 + 3/2*v**2 - 321/2*v = 0.
-1, 108
Let z = 38879 - 38877. Factor -1/2*u**2 - z*u + 0.
-u*(u + 4)/2
Let r = -1087645/11 - -98877. Solve r*d + 4/11*d**2 - 2/11*d**3 - 4/11 = 0.
-1, 1, 2
Suppose 146*b = -189*b + 1005. Factor 1/3*t**4 - 8/3*t + 0 - 10/3*t**2 - 1/3*t**b.
t*(t - 4)*(t + 1)*(t + 2)/3
Let o(w) be the first derivative of -42 + 0*w**3 + 8/3*w**4 + 1/15*w**6 - 4/5*w**5 + 0*w**2 - 29*w. Let q(b) be the first derivative of o(b). Factor q(g).
2*g**2*(g - 4)**2
Let i(l) be the second derivative of l**4/16 + 25*l**3/8 - 81*l**2/4 + 2322*l. Solve i(g) = 0 for g.
-27, 2
Let w(h) = -107*h - 1275. Let l be w(-12). Let r(y) be the first derivative of 2/7*y**2 + 0*y + 10/21*y**3 - l. Find a such that r(a) = 0.
-2/5, 0
Let f(o) be the second derivative of o**5/4 + 65*o**4/6 - 460*o**3/3 + 640*o**2 + 2*o + 215. Factor f(j).
5*(j - 4)*(j - 2)*(j + 32)
Let z = 239098 - 717292/3. Let 10/9*l**2 - z*l**3 + 116/9*l - 80/9 = 0. Calculate l.
-4, 2/3, 5
Let g(k) = 5*k**2 + 27*k - 67. Let b(d) be the first derivative of -2*d**3/3 - 7*d**2 + 33*d + 39. Let x(i) = -7*b(i) - 3*g(i). Determine u so that x(u) = 0.
2, 15
Let o(f) be the first derivative of -2*f**5/25 + 61*f**4/10 - 118*f**3/15 - 61*f**2/5 + 24*f + 1531. Determine m so that o(m) = 0.
-1, 1, 60
Factor 727 - 2*z**3 + 57 + 262 - 67*z**2 - 66 - 826*z - 85*z**2.
-2*(z - 1)*(z + 7)*(z + 70)
Let m(q) = -470*q**2 + 12825*q - 5060. Let d(c) = -43*c**2 + 1166*c - 460. Suppose -30*t + 121 = -59. Let a(l) = t*m(l) - 65*d(l). Find z such that a(z) = 0.
2/5, 46
Let f(u) be the first derivative of -7/20*u**5 + 0*u**2 + 0*u**3 - 28 + 1/16*u**4 + 0*u. Factor f(h).
-h**3*(7*h - 1)/4
Let m(c) be the second derivative of -c**6/15 - 1157*c**5/10 - 578*c**4/3 - 31*c + 76. Solve m(k) = 0 for k.
-1156, -1, 0
Suppose -7*x = -3*x - 2328. Factor -5*j**4 + 0*j**3 - 5*j**3 - 293*j + 25*j**2 - 304*j + x*j.
-5*j*(j - 1)**2*(j + 3)
Let h(t) be the third derivative of 2/105*t**7 + 0*t**3 + 4*t**2 - t**4 - 7/15*t**5 + 0 - 6*t + 0*t**6. Factor h(o).
4*o*(o - 3)*(o + 1)*(o + 2)
Let l(q) be the second derivative of 25*q**7/2 + 4976*q**6/3 + 59907*q**5 + 446965*q**4/6 - 92355*q**3/2 - 11045*q**2 - 2*q + 3658. Solve l(o) = 0.
-47, -1, -1/15, 2/7
Let b = 448015 - 448013. What is c in 14/3*c - 1/6*c**4 + 2 + 19/6*c**b + 1/3*c**3 = 0?
-2, -1, 6
Let q be 2 - ((-320)/30 - (5 + 1 - 12)). Let d(t) be the first derivative of 7/3*t**2 + q*t - 29 + 2/9*t**3. Factor d(i).
2*(i + 2)*(i + 5)/3
Let v(h) = 8*h**3 - 57*h**2 - 333*h. Let a(l) = 11*l**3 - 85*l**2 - 500*l. Let x(s) = 18*s + 133. Let u be x(-7). Let t(c) = u*v(c) - 5*a(c). Factor t(r).
r*(r + 13)**2
Let v(d) be the first derivative of 7*d**6/900 - d**5/150 - d**3/3 + 60*d - 43. Let h(b) be the third derivative of v(b). Let h(k) = 0. Calculate k.
0, 2/7
Let b be 3/(-12)*24/76. Let i = b - -199/114. Find k such that 0*k**2 + 10/3*k**3 - 10/3*k + i - 5/3*k**4 = 0.
-1, 1
Let u(x) be the third der