2. Let k be (j/(-36))/((-4)/6). Factor 25*d**2 - 48*d - 72 - 2*d**3 + d**3 + 8 - k*d**2.
-(d + 4)**3
Suppose 4/3*z**3 - 2*z + 0 + 1/3*z**2 + 1/3*z**4 = 0. What is z?
-3, -2, 0, 1
Suppose -5*x + 5*a = 0, 9*a = -4*x + 11*a - 8. Let l be (x + 2)/(-4)*1/4. Factor -1/2 + 0*f - l*f**3 + 3/8*f**2.
-(f - 2)**2*(f + 1)/8
Let f = -872/9 - -61049/630. Let k(h) be the third derivative of 0*h**3 + f*h**7 + 1/40*h**6 - 1/8*h**4 - 1/20*h**5 + 19*h**2 + 0*h + 0. Factor k(z).
3*z*(z - 1)*(z + 1)**2
Let w = -156 + 164. Factor -6*p**2 - 17*p - 5*p**3 - w*p + 4 - 14*p**2 - 14.
-5*(p + 1)**2*(p + 2)
Let o(i) = 12*i**3 + 3*i**2 - 3*i. Let v(w) = 37*w**3 + 8*w**2 - 8*w. Suppose 3*r = 4*x + 31, 2*x + 5*r = -2*x - 23. Let j(a) = x*o(a) + 2*v(a). Factor j(y).
-5*y*(y + 1)*(2*y - 1)
Let h(l) be the first derivative of -5*l**6/6 - 19*l**5 - 115*l**4/2 + 220*l**3/3 + 500*l**2 + 640*l + 13500. Find r, given that h(r) = 0.
-16, -2, -1, 2
Let l(i) = i**5 - 2*i**4 - 11*i**2 - i. Let g(y) = 6*y**5 - 188*y**4 - 1128*y**3 - 2332*y**2 - 1540*y. Let h(n) = g(n) - 4*l(n). Find u such that h(u) = 0.
-2, 0, 96
Let f(s) be the second derivative of s**4/15 + 316*s**3/15 + 186*s**2 + 8039*s. Factor f(m).
4*(m + 3)*(m + 155)/5
Factor 153/4*b + 75/4 + 81/4*b**2 + 3/4*b**3.
3*(b + 1)**2*(b + 25)/4
Suppose 0 = -4*u - 8*u + 24. What is r in -32*r - 4*r**u + 49*r - 25*r = 0?
-2, 0
Let p be 14/(-21) + ((-51)/(-9) - 1). Suppose 4*c = p*a, 3*a = c - 3*c. Let 0 - 4/7*o**2 + 10/7*o**3 + c*o = 0. Calculate o.
0, 2/5
Let q(y) be the third derivative of y**5/60 + 41*y**4/12 - 83*y**3/6 - 8992*y**2. Determine u, given that q(u) = 0.
-83, 1
Find z such that 702/5 - 704/5*z + 2/5*z**2 = 0.
1, 351
Let v(x) be the third derivative of 7*x**5/60 - 297*x**4/4 - 255*x**3/2 - 411*x**2. Factor v(d).
(d - 255)*(7*d + 3)
Let w(x) = 10*x**2 + 1520*x - 1530. Let d(o) = o**2 - 3*o + 2. Let r(b) = 8*d(b) - w(b). Find z such that r(z) = 0.
-773, 1
Let g(o) = o**3 + 8*o**2 + 14*o + 15. Let s be g(-6). Suppose 0 = s*m + 9, b + 5*m - 153 + 168 = 0. Let b*p + 0*p**2 + 0 + 5/4*p**3 + 5/4*p**4 = 0. Calculate p.
-1, 0
Factor 0 - 48/7*b**2 + 6*b**3 - 88/7*b + 2/7*b**4.
2*b*(b - 2)*(b + 1)*(b + 22)/7
Let k(x) be the first derivative of -2*x**3/39 - 467*x**2/13 - 2784*x/13 - 10782. Factor k(a).
-2*(a + 3)*(a + 464)/13
Let -354/5*y**3 + 454*y**2 - 164 - 1086/5*y - 2*y**4 = 0. Calculate y.
-41, -2/5, 1, 5
Let u(k) be the first derivative of 1/2*k**4 + 43 + 0*k - 4*k**2 + 2/5*k**5 - 8/3*k**3. Factor u(i).
2*i*(i - 2)*(i + 1)*(i + 2)
Suppose 2*y = 10 + 18. Suppose -y = -3*o - 4*z, o - 60*z - 4 = -61*z. Suppose -1/4*w**3 + 9/4*w**o - 11/4*w - 1/4*w**4 + 1 = 0. Calculate w.
-4, 1
Let d be 79/9 + (-6)/(-27). Let n(q) = 4*q - 34. Let r be n(d). Factor -4*j**4 + 5 + 0 - 24*j**r + 16*j + 5 + 16*j**3 - 14.
-4*(j - 1)**4
Let v(j) = -2*j**3 + j**2 + 2*j - 2. Let k(d) = 2*d**4 - 36*d**3 + 10*d**2 + 52*d - 10. Let n(l) = -2*k(l) + 28*v(l). Determine w, given that n(w) = 0.
-1, 3
Let g(q) be the third derivative of 0 + 1/224*q**8 - 1/12*q**4 + 0*q**3 - 13/420*q**7 + 0*q + 1/240*q**6 + 13/120*q**5 + 15*q**2. Suppose g(u) = 0. Calculate u.
-1, 0, 1/3, 1, 4
Let b(k) be the first derivative of -k**7/42 + k**6/8 - 5*k**4/6 - 3*k**2 - 2*k - 56. Let g(i) be the second derivative of b(i). What is d in g(d) = 0?
-1, 0, 2
Let u(l) be the third derivative of -3/2*l**4 + 5*l + 0 + 8*l**2 - 2/15*l**5 + 1/8*l**6 - 8/3*l**3. Find c, given that u(c) = 0.
-4/5, -2/3, 2
Solve 26/7*z**2 - 2/7*z**3 + 160/7 - 16*z = 0.
4, 5
Solve 1/2*f**3 - 18 - 21/2*f**2 + 28*f = 0.
1, 2, 18
Let c(s) be the first derivative of 3*s**4/4 - 30*s**3 + 231*s**2/2 + 324*s - 2716. Solve c(j) = 0 for j.
-1, 4, 27
Let i = -55261 + 55261. Factor 1/3*x + i - 1/6*x**3 - 1/6*x**2.
-x*(x - 1)*(x + 2)/6
Suppose -11*z - 33 + 44 = 0. Let q(k) be the first derivative of -5*k**2 + z - 8*k**3 + 8/5*k**5 + 4*k - 1/2*k**4. Let q(m) = 0. Calculate m.
-1, 1/4, 2
Let p be 0/(150/(-25))*2/8. Factor p*k**2 + 0*k**3 + 5/2*k**4 + 5/4*k**5 + 0 + 0*k.
5*k**4*(k + 2)/4
Let p(q) = -187*q + 269. Let b be p(7). Let j = b + 1042. Factor 26/15*i + 4/5 - 16/15*i**j.
-2*(i - 2)*(8*i + 3)/15
Factor 18*s - 5742*s**2 + 38*s + 13*s + 5736*s**2 - 66*s**3 - 24*s**4 - 33 - 3*s**5 + 63*s**4.
-3*(s - 11)*(s - 1)**3*(s + 1)
Let m(u) be the second derivative of u**7/14 - 37*u**6/10 + 537*u**5/10 - 63*u**4 - 324*u**3 - 2*u - 368. Determine a, given that m(a) = 0.
-1, 0, 2, 18
Let o be (-14)/2 + 12*(-15)/(-20). Let r be (1 - o)*(38 - 35)*-1. Solve -14/15*q**r + 14/15*q - 4/15 + 4/15*q**2 = 0 for q.
-1, 2/7, 1
Let h = 1053 - 1054. Let k be 0/(1 + h + -1). What is p in k + 4/7*p**2 + 0*p + 2/7*p**3 = 0?
-2, 0
Let f(u) be the second derivative of -u**4/3 + 172*u**3/3 + 352*u**2 - u + 81. Determine m, given that f(m) = 0.
-2, 88
Let h = 357 + -689/2. Let f = -144336 - -288717/2. Factor h*j**2 - f - 15/2*j - 5/2*j**3.
-5*(j - 3)**2*(j + 1)/2
Let h be ((-4)/5)/((-12)/60). Let s = 7 - 1. What is j in j - h*j - 4*j**2 - s*j + j**2 = 0?
-3, 0
Let f = 1537451/2 + -7581799/10. Factor 40794/5*u**2 + f + 99372/5*u + 228/5*u**4 - 5619/5*u**3 - 3/5*u**5.
-3*(u - 26)**3*(u + 1)**2/5
Let j(y) be the third derivative of 2*y**2 + 1/60*y**6 - 28*y + 2/3*y**3 - 1/12*y**4 + 0 - 1/15*y**5. Factor j(t).
2*(t - 2)*(t - 1)*(t + 1)
Let u = -13344 - -13346. Let h(w) be the first derivative of 9/14*w**u + 20 - 3/7*w**3 + 3/28*w**4 - 3/7*w. Determine z so that h(z) = 0.
1
Let z(j) = -20*j**4 - 945*j**3 - 2245*j**2 - 1275*j + 225. Let v(k) = -k**4 - 43*k**3 - 102*k**2 - 58*k + 10. Let n(x) = -45*v(x) + 2*z(x). Factor n(h).
5*h*(h + 1)*(h + 2)*(h + 6)
Let b(q) be the third derivative of -q**6/720 + 17*q**5/90 - 1501*q**4/144 + 1805*q**3/6 - 2*q**2 - 364. Factor b(u).
-(u - 30)*(u - 19)**2/6
Determine n so that 13*n**4 - 1511*n - 258*n**4 + 1860*n**2 + 1151*n - 25*n**5 - 250*n**3 = 0.
-6, 0, 1/5, 2
Let x(d) = -34*d**2 + 80*d - 43. Let o be x(1). Suppose 0 + o*c**3 - 5/3*c**2 - c**4 - 1/3*c**5 + 0*c = 0. What is c?
-5, 0, 1
Suppose -4*d = -3*z - 36, z - 42 = -6*d + 4*z. Let f(g) be the second derivative of 1/20*g**5 - 12*g + 0 + 50*g**d + 5/2*g**4 + 500*g**2. Factor f(m).
(m + 10)**3
Let i(f) be the first derivative of -3*f**4 - 114*f**3 - 3*f**2 + 12*f**2 + 65*f**3 + 72*f**3 + 35. Factor i(c).
-3*c*(c - 6)*(4*c + 1)
Let r = -1341 - -1341. Suppose r = 15*p - 33 - 12. Find y, given that -5/8*y**2 + 1/2*y + 0 + 1/8*y**p = 0.
0, 1, 4
Suppose 0 = 180*j + 159*j. Find q, given that -2/9*q**4 + 10/9*q + j + 2*q**2 + 2/3*q**3 = 0.
-1, 0, 5
Let n(g) = 5*g**3 + 29*g**2 + 35*g. Let h = -13 - -16. Let s(k) = 2*k**h + 7*k + 5*k + 0*k**3 + 0*k**3 + 10*k**2. Let j(w) = 4*n(w) - 11*s(w). Factor j(b).
-2*b*(b - 4)*(b + 1)
Let b(v) be the third derivative of v**8/4200 - v**7/420 + 7*v**6/900 - v**5/100 + 37*v**3/3 + 47*v**2. Let q(d) be the first derivative of b(d). Factor q(u).
2*u*(u - 3)*(u - 1)**2/5
Let y(r) be the first derivative of -r**5/5 + 25*r**4/4 - 19*r**3 - 193*r**2/2 - 110*r + 1182. Factor y(s).
-(s - 22)*(s - 5)*(s + 1)**2
Let j(l) be the second derivative of l**5/210 + 5*l**4/7 + 300*l**3/7 - 37*l**2 - 6*l + 3. Let b(n) be the first derivative of j(n). Solve b(r) = 0.
-30
Determine a so that 230*a - 4*a**4 - 71912*a**3 - 28*a**2 + 176 + 71864*a**3 - 38*a = 0.
-11, -2, -1, 2
Let j be (24/(-6))/(1530/515 - 3). Let m = j - 136. Factor 0 + 8/3*q - m*q**2.
-4*q*(q - 2)/3
Suppose 0 = 2*f, 49*i - f - 20 = 22*i + 22*i. Factor -8/5*w + 8/5*w**2 - 2/5*w**i + 2/5*w**3 + 0.
-2*w*(w - 2)*(w - 1)*(w + 2)/5
Let i = -21548 - -21553. Let u(x) be the second derivative of i*x + 0 - 1/180*x**5 + 1/54*x**3 + 1/9*x**2 - 1/54*x**4. Solve u(c) = 0.
-2, -1, 1
Let n(u) be the first derivative of -3*u**5/35 - 117*u**4/28 - 69*u**3/7 + 573*u**2/14 + 666*u/7 - 1861. Find h such that n(h) = 0.
-37, -3, -1, 2
Let -18044/3*b**2 - 5766 - 11656*b - 376/3*b**3 - 2/3*b**4 = 0. What is b?
-93, -1
Let v(i) = 5*i**2 - 2*i. Let j(y) = -16*y**2 - 2372*y - 1413721. Let u(q) = 2*j(q) + 6*v(q). Factor u(p).
-2*(p + 1189)**2
Suppose -64 = -2*k - 54. Let l(t) = 4*t - 1. Let b be l(k). Factor 31*c**2 - 11*c - 3*c**5 + 4 - 6*c**2 - 5*c - b*c**3 + 7*c**4 + 2*c**5.
-(c - 2)**2*(c - 1)**3
Let z(w) be the third derivative of -w**5/150 - 224*w**4/15 - 200704*w**3/15 + 5*w**2 + 43*w. Solve z(o) = 0 for o.
-448
Let