x).
-2*(x - 2)*(x + 3)/3
Let b(s) be the third derivative of -s**6/72 + 2*s**5/3 + 15*s**4/2 + 280*s**3/9 - 493*s**2. Factor b(k).
-5*(k - 28)*(k + 2)**2/3
Factor -1/5*o**3 + o + 8/5*o**2 - 84/5.
-(o - 7)*(o - 4)*(o + 3)/5
Let b(h) be the first derivative of h**8/11760 - h**7/490 + 10*h**3/3 + 5*h**2/2 + 108. Let o(q) be the third derivative of b(q). Factor o(r).
r**3*(r - 12)/7
Let p(w) = w**2 + w + 2. Let o(b) be the first derivative of 7*b**3/3 + 10*b**2 - 4*b - 163. Let j(k) = -3*o(k) + 24*p(k). Factor j(h).
3*(h - 10)*(h - 2)
Let i(m) be the third derivative of -2*m**7/105 - 16*m**6/15 - 308*m**5/15 - 392*m**4/3 - 9*m**2 - 32. Factor i(p).
-4*p*(p + 4)*(p + 14)**2
Let s = -166 - -239. Suppose -s + 10 - 5 + 6*o**2 - 2*o**2 - 64*o = 0. Calculate o.
-1, 17
Let t(s) = s**2 + 24*s + 108. Suppose 0 = -5*r + 2*y - 88, -4*r - 3*y = 43 + 32. Let k be t(r). Solve 2/3*n**3 - 2/3*n - 2/3*n**2 + k + 2/3*n**4 = 0.
-1, 0, 1
Let q(z) be the first derivative of -z**9/3780 - 53*z**8/2100 - 9*z**7/14 + 81*z**6/50 - 131*z**3/3 + 78. Let c(a) be the third derivative of q(a). Factor c(y).
-4*y**2*(y - 1)*(y + 27)**2/5
Let c(m) = -m**3 - 14*m**2 - 33*m + 42. Let h(k) = 12*k**3 + 155*k**2 + 364*k - 462. Let a(z) = 23*c(z) + 2*h(z). Factor a(q).
(q - 14)*(q - 1)*(q + 3)
Let x be (-1)/48 - (-93815)/31056. Factor 0 + 10*y**4 + 15*y**2 - 9/2*y - 37/2*y**x - 2*y**5.
-y*(y - 1)**2*(2*y - 3)**2/2
Let w = -7861 - -55065/7. Solve -1/7*o**2 + w*o - 361/7 = 0.
19
Determine t, given that 0*t**4 - 66*t**3 - t**4 - 39*t - 451*t**2 - 443*t**2 - 5901*t - 8100 - 375*t**2 = 0.
-30, -3
Let w = 124 + 416. Let q = w - 1079/2. Find d such that -q*d**3 + 0 - 5/4*d**2 - 1/2*d = 0.
-2, -1/2, 0
Let m(c) be the second derivative of -c**6/210 + 201*c**5/70 - 3400*c**4/7 + 40000*c**3/21 - 6*c + 24. Factor m(o).
-o*(o - 200)**2*(o - 2)/7
Let r = -83 + 96. Suppose 6 = -r*j + 16*j. Let u(a) = -a - 1. Let l(v) = -v**2 + 1. Let d(z) = j*l(z) - 2*u(z). What is c in d(c) = 0?
-1, 2
Let c(f) be the first derivative of 1/18*f**3 - 91/6*f**2 - 88 + 8281/6*f. Factor c(z).
(z - 91)**2/6
Let y be (-16)/12*3 + 3. Let g be 22/5 + 6*y/(-10). Factor -g*n**4 + 11*n + 5*n**2 - 10*n**3 + 3*n - 4*n.
-5*n*(n - 1)*(n + 1)*(n + 2)
Let l(s) = s**2 + 24*s + 149. Let k be l(-10). Suppose k*y + 63 = 90. What is p in 1/2*p**5 + 2*p**y - 1 + 2*p**4 - 5/2*p - p**2 = 0?
-2, -1, 1
Let -585681*f - 3592*f**2 - 2*f**3 - 216196405 - 602872585 - 548*f**2 - 2270919*f + 162050990 = 0. Calculate f.
-690
Let l be (9 - (12 - 32/(-12))) + 6. Let n(o) be the first derivative of -1/2*o**2 + 35 - 6*o + l*o**3. Factor n(a).
(a - 3)*(a + 2)
Suppose x + 6 = -5*a + 16, 5*x + 37 = 4*a. Factor 4*g - 6*g - g**3 + 0*g**3 + a*g**3.
2*g*(g - 1)*(g + 1)
Let v(z) be the second derivative of 1/105*z**6 - 1/70*z**5 + 0 - 1/42*z**4 - 29*z + 1/21*z**3 + 0*z**2. Factor v(m).
2*m*(m - 1)**2*(m + 1)/7
Suppose -6*w + 56 = -16. Suppose -4*g + 24 = -3*q, 5*q = 2*g - 0*q - w. Solve u + 3*u**2 - g*u + u + u = 0 for u.
0, 1
Factor -1/3*a**3 + 0*a + 0 - 52/3*a**2.
-a**2*(a + 52)/3
Let d(u) be the third derivative of u**6/40 - u**5/4 - 11*u**4/4 + 28*u**3 - 18*u**2 - u - 22. Factor d(l).
3*(l - 7)*(l - 2)*(l + 4)
Let p(o) = 12*o + 9. Let s(q) = q**2. Let y be (-15)/25 + 12/(-30). Let d(f) = y*p(f) - 3*s(f). Factor d(r).
-3*(r + 1)*(r + 3)
Let n be 7/(-2)*(-12)/21. Factor 14*z**n - 30 - 18*z + 9*z - 11*z**2.
3*(z - 5)*(z + 2)
Let n(h) be the third derivative of h**6/240 - 9*h**5/200 - h**4/48 + 9*h**3/20 + 3*h**2 - 7. Factor n(q).
(q - 1)*(q + 1)*(5*q - 27)/10
Let b = 1931/9420 + -45/628. Let h(t) be the second derivative of b*t**3 + 25*t - 1/30*t**4 + 0 + 3/5*t**2. Factor h(f).
-2*(f - 3)*(f + 1)/5
Factor 1026/5*a + 46/5*a**3 + 72*a**2 + 999/5 + 1/5*a**4.
(a + 3)**3*(a + 37)/5
Let i(v) = 4*v - 24. Let f be i(7). Determine w so that 34*w**4 - 88*w**5 + 98*w**5 + 213*w**3 + 219*w**3 + 448*w**2 - 256*w + 82*w**f = 0.
-4, 0, 2/5
Suppose -2*x - 3 + 7 = 0. Let j be (-7)/(-2) - (-1)/x. Suppose -11 + 6*s**3 - 3*s**j - 2*s - 8*s + 2 + 12*s**2 + 4*s = 0. Calculate s.
-1, 1, 3
Let w be (-16)/6*(-54)/12. Factor 2 - w*x - 15*x**2 - 5 + 18*x**2 - 9 + 3*x**3.
3*(x - 2)*(x + 1)*(x + 2)
Let h be 126/70*55/3. Suppose 28*w - 4*w**5 + 8*w**4 - 30*w**2 - 37*w**2 - h*w**2 + 8*w**3 + 68*w**2 - 8 = 0. Calculate w.
-2, 1
Let l(f) be the first derivative of 2*f**3/3 - 200*f**2/9 + 88*f/9 - 1060. Factor l(q).
2*(q - 22)*(9*q - 2)/9
Let a be ((-7)/(-42)*0)/(1*-3). Suppose l - 32 + 24 = a. Determine d so that 17*d**2 - d**3 - 5*d**2 - 5*d - l*d**2 + 2 = 0.
1, 2
Let m(t) be the second derivative of -t**6/55 + 3*t**5/5 - 30*t**4/11 + 58*t**3/11 - 57*t**2/11 - 506*t. Factor m(i).
-6*(i - 19)*(i - 1)**3/11
Let f = -19944 + 19946. Let o(z) be the second derivative of 1/8*z**f + 0 - 1/2*z**3 + 27*z + 3/4*z**4. Factor o(y).
(6*y - 1)**2/4
Let a(y) be the first derivative of -y**4/4 + 33*y**3 - 1200*y**2 - 2500*y + 152. Factor a(t).
-(t - 50)**2*(t + 1)
Let h be -99 - -85 - (-1002)/18. Solve 0 + 50/3*o**3 + 0*o + 5/3*o**4 + h*o**2 = 0.
-5, 0
Let h(s) = 2*s**2 + 16*s + 14. Let l(g) be the first derivative of 8*g**2 + 1/3*g**3 + 7 + 15*g. Let d(p) = -3*h(p) + 2*l(p). Factor d(f).
-4*(f + 1)*(f + 3)
Let a(r) be the second derivative of -18*r**2 - 6*r**3 + 0 + 2/15*r**5 + 1/4*r**4 + 188*r - 1/90*r**6. Factor a(w).
-(w - 6)**2*(w + 1)*(w + 3)/3
Let o be (-23 - 3) + 18 - (-11 - -1). Let c(k) be the second derivative of -3/2*k**o - 3*k**4 + 0 - 8*k + 3*k**3 + 6/5*k**5. Factor c(n).
3*(2*n - 1)**3
Solve 5054/3 + 20*d**3 - 1748*d + 128/3*d**2 + 2/3*d**4 = 0 for d.
-19, 1, 7
Let o be (3 - 12)*2/(-9). Solve -147*f**3 - 411*f**2 - 1567*f**2 + 1920*f - 463*f**o - 276 - 856*f**2 = 0.
-23, 2/7
Let w(k) be the third derivative of k**6/60 - 17*k**5/30 - 2*k**4 + 336*k**3 + 3*k**2 - 220*k. Factor w(v).
2*(v - 12)**2*(v + 7)
Suppose 108*l + 14*l - 678*l = 306*l - 3448. Let 4/3*y**3 + 8/3*y**2 + 16/9*y + 2/9*y**l + 0 = 0. What is y?
-2, 0
Let k(a) = 20*a + 12. Suppose 0 = -16*g - 33 - 47. Let z(u) = -u**2 + 22*u + 13. Let r(q) = g*k(q) + 4*z(q). Factor r(h).
-4*(h + 1)*(h + 2)
Determine i so that 90*i**3 + 82*i**3 - 1342*i**3 - 595*i**4 - 5*i**5 = 0.
-117, -2, 0
Solve -2720503424*m + 178*m**4 - 8758*m**3 + 959892*m**2 + 6406092*m**2 - 174*m**4 + 376789724224 - 106*m**3 = 0.
554
Suppose -4*k + 4*p = 4, 0*p + p - 1 = 5*k. Suppose k = 4*a - a + 5*a. Let a - 16*g**2 + 6 - 12*g - 1 - 1 = 0. Calculate g.
-1, 1/4
Let h(v) = -v**2 - 42*v - 32. Let g be h(-42). Let q be 3 + (5 - (-232)/g). Determine b so that -6*b**4 - 3*b**3 - 3/2 + 15/4*b**5 + 15/2*b**2 - q*b = 0.
-1, -2/5, 1
Let y be (-3 - -1) + 4 + 2. Suppose -8 = y*m, 6*p - 4*p + 4 = -2*m. Factor 0 - 3/2*r**3 + p*r - 9/2*r**2.
-3*r**2*(r + 3)/2
Let v = 269 - 267. Factor 2*m**v + 14*m - 496 - 2*m**2 + 508 - 2*m**3.
-2*(m - 3)*(m + 1)*(m + 2)
Let p(z) = -19*z**3 - 1001*z**2 - 1998*z. Let o(x) = -2*x**3 + 2*x**2 + 3*x. Let w(j) = 8*o(j) - p(j). Solve w(s) = 0.
-337, -2, 0
Let g(q) be the first derivative of 1/6*q**3 + 0*q + 0*q**2 + 28 + 7/10*q**5 - 1/4*q**6 - 5/8*q**4. Suppose g(t) = 0. Calculate t.
0, 1/3, 1
Factor 2*v**5 + 18*v**4 + 483070*v**3 + 12*v + 38*v**2 - 966119*v**3 + 483091*v**3.
2*v*(v + 1)**3*(v + 6)
Suppose 5*w - 15 = 2*w, -w = -2*o + 17. Let x(b) = 3*b**2 - 2*b - 5. Let p be x(-2). Factor -15*q**2 - 3*q - 20 - 37*q - p*q**2 + o*q**2.
-5*(q + 2)*(3*q + 2)
Solve 0*k + 0 - 2/13*k**3 + 124/13*k**2 = 0 for k.
0, 62
Let v(n) = 2*n**3 + 174*n**2 - 63*n - 5478. Let w be v(-87). Factor 1/2*m**2 + 0 + 1/2*m**w - m.
m*(m - 1)*(m + 2)/2
Let f(t) be the second derivative of t**7/7560 - 7*t**6/2160 + 25*t**4/6 - 5*t + 1. Let u(k) be the third derivative of f(k). Solve u(j) = 0 for j.
0, 7
Factor 1/3*c**5 + 337537/3*c**3 + 1168/3*c**4 + 4125436/3*c - 2053334/3*c**2 - 2756552/3.
(c - 2)**3*(c + 587)**2/3
Suppose -4*l - 2640 = -2*i, 16*l + 2640 = 2*i + 14*l. Let h = -17158/13 + i. Factor -6/13*g**2 + 4/13*g + h*g**3 + 0.
2*g*(g - 2)*(g - 1)/13
Let v = 259/86 + -263/430. Let -20*q**4 + 0 + 116/5*q**2 - 52*q**3 - v*q = 0. Calculate q.
-3, 0, 1/5
Let l(x) be the second derivative of -2*x**7/21 + 8*x**6/3 + 68*x**5/5 + 26*x**4/3 - 134*x**3/3 - 92*x**2 - 2423*x. Suppose l(f) = 0. Calculate f.
-2, -1, 1, 23
Let p(r) be the second derivative of -r**8/224 + r**7/630 + r**6/24 - 