17*o + 8*o**4 - 5*o + 392*o**2.
4*o*(o + 1)*(o + 3)*(2*o + 1)
Suppose -2*t + 33 = -3*z + 20, -4*z = 12. Suppose 2/9*b**5 - 56/9*b**t + 8/3*b - 16/9*b**4 + 46/9*b**3 + 0 = 0. Calculate b.
0, 1, 2, 3
Suppose 2*b + 3*u + 19 + 7 = 0, 5*u + 4 + 46 = 0. Factor 8/9 + 8/9*s + 2/9*s**b.
2*(s + 2)**2/9
Let w be 805/140 - 7/4. Suppose 19*q - 9 = 16*q, 2*t = w*q - 12. Let 1/10*g**4 + 1/10*g**3 - 1/10*g + t - 1/10*g**2 = 0. Calculate g.
-1, 0, 1
Let u be 6/(-18) - (-4 - 40/(-6)). Let v(r) = 4*r**3 + 9*r**2 + 15*r - 25. Let c(n) = 3*n**3. Let t(p) = u*v(p) + 3*c(p). Solve t(w) = 0 for w.
-5, 1
Suppose -24 = -5*w + 3*k, 1 - 23 = -4*w + k. Suppose 5*o + w*o**2 + 34*o + 10*o + 48 - 5*o**2 = 0. What is o?
-48, -1
Let c = -2 + 11. Suppose 0 = -5505*o + 5513*o - 16. Determine g, given that -g**4 + 21*g**o + 4*g**4 - 6*g**3 + 0*g**4 - 9*g - c*g**3 = 0.
0, 1, 3
Let x(y) be the third derivative of y**6/540 - 233*y**5/90 + 54289*y**4/36 - 12649337*y**3/27 - 4939*y**2. Factor x(d).
2*(d - 233)**3/9
Let v = 9 + -57. Let x be (10/8)/((-4)/v). Factor -16*w**4 + 5*w**3 - 15*w + 5*w**5 + 0*w**5 + w**4 + 5*w + x*w**2.
5*w*(w - 2)*(w - 1)**2*(w + 1)
Suppose -3*w - 4850*s + 21 = -4854*s, 5*w + s = 12. Let 9 - 21/5*x - 1/5*x**2 + 1/5*x**w = 0. What is x?
-5, 3
Let b be -36 + -1 - (-8346)/214. Solve 6/17*y**b + 0 + 2/17*y**5 + 2/17*y**3 - 6/17*y**4 - 4/17*y = 0.
-1, 0, 1, 2
Suppose -6*d + 10*d = 4*w - 16, 5*w = 3*d + 18. What is u in u**3 - 123*u**4 + 12*u - 3*u**w - 2*u**3 + 121*u**4 + 10*u**2 = 0?
-3, -1, 0, 2
Let f(w) be the third derivative of -w**8/294 + 13*w**7/735 + 13*w**6/420 - 26*w**5/105 + w**4/7 + w**2 + 698*w. Determine g, given that f(g) = 0.
-2, 0, 1/4, 2, 3
Let j(n) be the first derivative of -5*n**3/12 - 20*n**2 - 1155*n/4 - 1328. Let j(v) = 0. What is v?
-21, -11
Factor -2091*q**3 + 576 - 94*q + 590*q + 16*q**2 + 140*q**2 + q**4 + 2112*q**3.
(q + 4)**3*(q + 9)
Let a be 24/18*1/4*9. Let -423*b**4 + 54 + 804*b**2 + 275*b**5 + 2*b**4 - 509*b**4 + 94*b**a - 441*b = 0. Calculate b.
-1, 2/11, 3/5, 3
Let b(h) = -h + 33. Let q be b(5). Factor 80*z + 112*z + 3*z**4 + q*z**3 - 84*z**2 + 8*z**3 + 228*z**2.
3*z*(z + 4)**3
Let d(k) be the second derivative of 1/15*k**6 + 0*k**3 + 0*k**2 - 4/15*k**5 + 8/27*k**4 + 15*k + 2. Factor d(r).
2*r**2*(3*r - 4)**2/9
Determine x so that -99*x + 85 + 200*x**2 - 268*x + 438 - 5*x**3 - 198*x - 153 = 0.
1, 2, 37
Let p = 4259 + -42589/10. Let i(a) be the second derivative of 7/6*a**4 + 0 + 17*a + 1/42*a**7 - 1/6*a**6 - 1/2*a**3 + p*a**5 - 9/2*a**2. Factor i(r).
(r - 3)**2*(r - 1)*(r + 1)**2
Let x(n) be the first derivative of n**3/15 - 336*n**2 + 564480*n + 3652. Factor x(d).
(d - 1680)**2/5
Let l(o) be the first derivative of o**3/12 + 1315*o**2/4 + 1729225*o/4 - 4023. Factor l(c).
(c + 1315)**2/4
Let k be (-792)/(-99)*1/4*6. Suppose 2*j**3 + 4*j**3 + k + 0*j**3 + 8*j - j**2 - 7*j**3 = 0. What is j?
-2, 3
Let c be (-16)/(-44) + (-72206)/(-50270). Factor 12/5 - 3/5*f**2 - c*f.
-3*(f - 1)*(f + 4)/5
Let i be 5*(12/(-51))/((-2950)/1003). Factor -24/5*o - 54/5 - i*o**2.
-2*(o + 3)*(o + 9)/5
Let f(p) be the second derivative of -4*p**2 + 67*p - 1/10*p**5 - 5/6*p**4 + 0 - 8/3*p**3. Factor f(h).
-2*(h + 1)*(h + 2)**2
Factor -6*h**2 + 35*h**2 - 3*h**2 + 630 - 625*h - h**2 - 30*h**2.
-5*(h - 1)*(h + 126)
Let z = 14 + -2. Let j(m) = 33 - 6 + 16 + 55*m + z + 15*m**3 - 350*m**2. Let k(v) = v**3 - 25*v**2 + 4*v + 4. Let d(q) = 4*j(q) - 55*k(q). Factor d(s).
5*s**2*(s - 5)
Let u(z) be the second derivative of -z**5/45 - 28*z**4/27 + 544*z**3/27 - 128*z**2 + z - 55. Factor u(l).
-4*(l - 4)**2*(l + 36)/9
Let c(f) be the first derivative of 207 + 0*f + 0*f**2 + 0*f**3 + 1/6*f**6 - 1/2*f**4 - 1/5*f**5. What is n in c(n) = 0?
-1, 0, 2
Let u(i) be the first derivative of -5*i**3/12 + 5*i**2/2 - 15*i/4 + 490. Factor u(d).
-5*(d - 3)*(d - 1)/4
Suppose -2*c - 3*h + 7 = 0, -25*h = -3*c - 21*h + 36. Let y(d) be the first derivative of -2*d**5 + 17/2*d**4 - 4*d + c + 11*d**2 - 14*d**3. Factor y(t).
-2*(t - 1)**3*(5*t - 2)
Let f(z) be the first derivative of 17/3*z**3 + 0*z**4 + 1/360*z**6 + 3 + 0*z + 0*z**2 - 1/40*z**5. Let y(v) be the third derivative of f(v). Factor y(c).
c*(c - 3)
Let p(d) be the third derivative of -1/504*d**8 + 8/45*d**5 + 0*d**3 - 22*d**2 + 0*d + 0*d**6 + 4/9*d**4 - 4/315*d**7 + 0. Determine b, given that p(b) = 0.
-2, 0, 2
Let a(f) be the third derivative of -2*f**2 + 1/630*f**7 + 11 - 1/180*f**5 + 1/180*f**6 - 1/36*f**4 + 0*f + 0*f**3. Factor a(l).
l*(l - 1)*(l + 1)*(l + 2)/3
Let y = -231 - -87. Let k = y + 440/3. Find h such that -k*h - 4/3*h**2 + 8/3 + 1/6*h**5 - 7/6*h**4 + 8/3*h**3 = 0.
-1, 2
Let b(n) = 2*n**2 - 318*n - 616. Let j(f) = -7*f. Let d(m) = 2*b(m) - 4*j(m). Factor d(u).
4*(u - 154)*(u + 2)
Factor -1245*s**3 - 1206*s**2 - 230*s**4 + 1256*s**2 - 1850*s**2 + 12*s**5 - 17*s**5.
-5*s**2*(s + 3)**2*(s + 40)
Let f(v) = -v**2 - 18*v + 31. Let s be f(-16). Let b = s + -55. What is o in 4*o**3 + 8 - b*o + 2*o**4 + 46*o**2 + 40*o**2 - 92*o**2 = 0?
-2, 1
Let w(u) be the third derivative of -7/24*u**4 + 1/60*u**5 + 5*u**2 + 6 + 0*u + 2*u**3. Factor w(s).
(s - 4)*(s - 3)
Suppose 2*w = 231*b - 232*b - 2, 6*b + 39 = -3*w. Suppose 13 - 103/2*j + 3/2*j**w + 37*j**2 = 0. Calculate j.
-26, 1/3, 1
Suppose 0 = 4*x - 4, -325 = 3*l - 5*x - 332. Factor 0 - 5/4*k**l - 5/4*k**3 + 25/4*k**2 - 15/4*k.
-5*k*(k - 1)**2*(k + 3)/4
Let y(h) = 31*h**3 - 592*h**2 + 2329*h - 2322. Let o(w) = 7*w**3 - 148*w**2 + 582*w - 580. Let p(i) = -9*o(i) + 2*y(i). Suppose p(a) = 0. What is a?
2, 144
Let w(l) be the third derivative of l**6/24 - 83*l**5/12 - 215*l**4/3 - 290*l**3 - 383*l**2 - 2. Factor w(o).
5*(o - 87)*(o + 2)**2
Suppose 3*t = 3*z + 717, -66*z + 65*z - 2*t = 230. Let b be (3/((-90)/(-4)))/(z/(-590)). What is d in -b*d**2 - 2 - 7/3*d = 0?
-6, -1
Let r(y) = y**2 - 6*y + 7. Let c be r(5). Solve 2*q**5 + q**4 + 10*q - 20*q**2 - 12*q**3 - 6 + q**4 + 41*q**2 - 17*q**c = 0.
-3, -1, 1
Let s(h) be the third derivative of -6*h + 11*h**2 + 0 + 1/3*h**4 - 1/3*h**5 + 1/30*h**6 + 16/3*h**3. Determine l, given that s(l) = 0.
-1, 2, 4
Let q(y) be the second derivative of -7/18*y**2 + 17/36*y**4 + 7/36*y**5 + 2/135*y**6 + 0 + 13/54*y**3 - 104*y. Factor q(v).
(v + 1)**2*(v + 7)*(4*v - 1)/9
Let z(y) be the third derivative of 0*y - y**2 - 1/60*y**5 - 8/3*y**3 - 1/210*y**7 + 1/20*y**6 - 56 - y**4. Factor z(a).
-(a - 4)**2*(a + 1)**2
Let p(o) be the second derivative of -51*o + 37*o**2 + 1/3*o**3 - 37/6*o**4 - 1/10*o**5 + 0. Solve p(l) = 0.
-37, -1, 1
Let j(s) be the first derivative of 0*s + 1/20*s**5 - 18 + 3/4*s**4 + 7/4*s**3 - 49/4*s**2. Find b such that j(b) = 0.
-7, 0, 2
Let t(k) = -2*k**2 - 45*k - 242. Let n be t(-10). Let v(x) be the first derivative of -16/3*x**3 - n*x - 10*x**2 - x**4 + 8. Let v(y) = 0. What is y?
-2, -1
Factor 3422500/7 + 3700/7*g + 1/7*g**2.
(g + 1850)**2/7
Let a(z) be the second derivative of z**7/1155 + z**6/110 + 3*z**5/110 + z**4/33 - 13*z**2/2 - 19*z. Let c(k) be the first derivative of a(k). Factor c(i).
2*i*(i + 1)**2*(i + 4)/11
Let g(o) be the first derivative of o**6/2340 + 7*o**5/780 - 10*o**3 - 43. Let a(b) be the third derivative of g(b). Solve a(k) = 0 for k.
-7, 0
Let f be 2 + -1 + (-8)/10. Let a be -42 + 37296/882 + (-26)/(-7) + -4 + 4. What is c in 0 + 1/10*c**5 - f*c**2 - 2/5*c**a + 1/2*c**3 + 0*c = 0?
0, 1, 2
Suppose -1227/8*y + 615/4 - 3/8*y**2 = 0. Calculate y.
-410, 1
Suppose -3*n - 3*u - 53 = -89, 2*u = 3*n + 9. Factor n*f**2 + 7/3*f - 2/3.
(f + 1)*(9*f - 2)/3
Factor 28 + 1422/17*b**2 - 2/17*b**4 + 470/17*b**3 + 1426/17*b.
-2*(b - 238)*(b + 1)**3/17
Let s(a) be the first derivative of -1849*a**3/9 + 43*a**2 - 3*a + 2724. Let s(d) = 0. What is d?
3/43
Let t = -985 + 1973/2. Let o(i) be the first derivative of -3/4*i**4 - 1/2*i**3 + 3/10*i**5 - 7 + 0*i + t*i**2. Solve o(r) = 0.
-1, 0, 1, 2
Let c(a) = 5*a**3 - 9*a + 8. Let n(r) = 7*r**3 - 10*r + 9. Suppose -z - 2*q + 28 = 33, 0 = -5*z - 5*q - 5. Let d(o) = z*c(o) - 2*n(o). Factor d(p).
(p - 2)*(p - 1)*(p + 3)
Suppose 3*z - 1 = -o + 20, -3*o + 2*z + 8 = 0. Suppose 3*f - 20 = -4*r, -5*r - 3*f = -o*r - 10. Suppose -18/5*h**r + 4/5 + 14/5*h = 0. Calculate h.
-2/9, 1
Let o(v) be the second derivative of v**6/330 + 7*v**5/44 - 19*v**4/66 - 12*v**3/11 + 7*v + 467. Factor o(l).
l*(l 