 + 57 - 6*y**2 - 28 + 6*y**3 = 0. What is y?
0, 1
Let w(x) be the third derivative of -x**6/56 - x**5/20 + 7*x**4/4 + 20*x**3/7 + 1043*x**2. Factor w(d).
-3*(d - 4)*(d + 5)*(5*d + 2)/7
Let h(v) be the third derivative of 7/12*v**4 + 4/15*v**5 + 1/60*v**6 - 6*v - 3*v**2 + 0 + 0*v**3. What is p in h(p) = 0?
-7, -1, 0
Suppose 0 = -7*q + 36 + 6. Suppose -q*s - 5*s + 110 = 0. Suppose -45*o + 25*o**2 - 12*o - 5*o - 3*o + 30*o**3 + s = 0. What is o?
-2, 1/6, 1
Factor -15/2*y - 3/4*y**2 - 75/4.
-3*(y + 5)**2/4
Suppose 8127*v - 8100*v = 0. Let d(p) be the third derivative of 0 - 5/6*p**5 + 5/2*p**4 + 32*p**2 + v*p - 3*p**3. Let d(r) = 0. What is r?
3/5
Let z be 5253/561 - (18/4)/((-10)/(-20)). Factor -z - 2/11*p + 2/11*p**2.
2*(p - 2)*(p + 1)/11
Let x(g) = g**4 - 177*g**3 + 7*g**2 - 14*g - 14. Let q(d) = d**3 + d**2 - 2*d - 2. Let j(l) = 35*q(l) - 5*x(l). Factor j(h).
-5*h**3*(h - 184)
Let y be (2 - (-223)/9) + 4/18. Suppose 4*d = -5*d + y. Factor -96 - 18*c**4 - 3*c**3 + d*c + 96 + 7*c**2 + 11*c**2.
-3*c*(c - 1)*(c + 1)*(6*c + 1)
Suppose 0 = -6*y + 55 + 23. Suppose 9 = -10*z + y*z. Find d, given that -92*d**z + 260*d**4 - 3 - 100*d**5 - d**2 - 92*d**3 - 7*d**2 + 7 + 28*d = 0.
-1/5, 1
Factor -26*o**3 - 7*o - 56*o**2 - 107881 - 27*o + 107877.
-2*(o + 1)**2*(13*o + 2)
Let w = 2536305/177988 - -6/44497. What is d in 5/4*d**3 - 9/2 + w*d - 8*d**2 = 0?
2/5, 3
Let a be (((-2)/8)/((-2)/12))/((-266541)/(-32308)). Find c, given that -228/11*c**2 - 109744/11 + 8664/11*c + a*c**3 = 0.
38
Let g = -191 + 185. Let y(n) = -3*n**4 - 5*n**3 - 5*n**2 - 3*n. Let t(b) = 4*b**4 + 5*b**3 + 4*b**2 + 3*b. Let u(o) = g*y(o) - 4*t(o). Factor u(x).
2*x*(x + 1)**2*(x + 3)
Let b(f) be the third derivative of -f**5/20 - 67*f**4/8 - 126*f**3 - 2*f**2 + 92. Suppose b(m) = 0. Calculate m.
-63, -4
Let y = -93270/17 - -759938/153. Let f = y + 520. Factor -f*z**2 + 1/3 - 2/9*z**3 + 2/9*z + 1/9*z**4.
(z - 3)*(z - 1)*(z + 1)**2/9
Factor 557568/5 + 30656/5*j**2 + 512/5*j**3 + 2/5*j**4 - 270336/5*j.
2*(j - 4)**2*(j + 132)**2/5
Let h(v) = 42*v**4 - 54*v**3 - 2728*v**2 - 2541*v - 494. Let w(g) = -2*g**3 - 2*g**2 - g + 2. Let z(m) = h(m) - 5*w(m). Find b, given that z(b) = 0.
-7, -2/3, -2/7, 9
Let g(f) be the first derivative of 5/4*f**4 - 100*f + 222 + 70/3*f**2 + 455/9*f**3. Determine b, given that g(b) = 0.
-30, -1, 2/3
Let n be (-50765)/5538 - 64/(-6). Solve 0*d**2 + 9 - 33/2*d + 15*d**3 + n*d**5 - 9*d**4 = 0 for d.
-1, 1, 2, 3
Suppose -7*f + 10*f - 1239 = -3*r, 5*f = 0. Let y = r + -409. Find t, given that 0*t**3 - 4/3*t**y + 0*t + 0 + 4/3*t**2 = 0.
-1, 0, 1
Let g be (-10)/(-45*28/2772). What is z in 33*z + g*z**3 + 169/4*z**2 + 4*z**4 + 9 = 0?
-2, -3/4
Suppose 5*h + 0*h - 15 = 0. Let l(d) = 21*d - 124. Let c be l(6). Factor 12*s**5 - 7*s**5 - 3*s**3 - c*s**h.
5*s**3*(s - 1)*(s + 1)
Let o = 11566/3 - 3854. Factor -56/3*f - o*f**2 - 196/3.
-4*(f + 7)**2/3
Let h(p) = 47*p + 896. Let w be h(-19). Let f(b) be the first derivative of 3/4*b**4 - w*b**3 - 10 + 9*b - 3/2*b**2. Factor f(i).
3*(i - 3)*(i - 1)*(i + 1)
Factor 335/3*i + 334/3 + 1/3*i**2.
(i + 1)*(i + 334)/3
Suppose -10*y + 33 = -7. Let l(v) be the third derivative of 5/4*v**y + 0*v - 6*v**2 + 3/5*v**5 + 3/20*v**6 + 1/70*v**7 + 0 + 3/2*v**3. Factor l(a).
3*(a + 1)**3*(a + 3)
Let q(p) be the first derivative of 2*p**3/27 - 2*p**2 - 38*p/9 + 1807. Factor q(v).
2*(v - 19)*(v + 1)/9
Let r(o) be the first derivative of -o**4/42 + 40*o**3/63 - 100*o**2/21 - 489. Factor r(k).
-2*k*(k - 10)**2/21
Suppose -108 = 6*h - 126. Find m, given that 24*m**4 - 41*m**3 - 46*m + 136*m**2 + 8 - 26*m**h - 33*m**3 - 22*m = 0.
1/6, 1, 2
Determine u so that 16*u**2 + 69*u**4 + 23*u**4 + 286*u**3 + 26*u**3 - 2*u**5 - 2*u**5 - 416*u = 0.
-2, 0, 1, 26
Suppose -9 = -4*v + m, -2*v - 2*v + 2*m = -6. Suppose v*h**4 - 5*h**3 - 1647*h + 50*h**2 - 5*h**2 - 22*h**3 + 1722*h = 0. What is h?
-1, 0, 5
Let o = -1/395 - -1189/1580. Determine b so that -9 - o*b**3 + 3*b + 9/4*b**2 = 0.
-2, 2, 3
Let m(z) be the first derivative of 5*z**4/4 - 80*z**3/3 - 5*z**2/2 + 80*z + 1425. Factor m(v).
5*(v - 16)*(v - 1)*(v + 1)
Let -141/7*k + 5/7*k**3 + 99/7 - 43/7*k**2 = 0. What is k?
-3, 3/5, 11
Suppose -3*v = -48*v + 15838785. Factor -387*a**3 + 260*a**3 - 183235*a - 601*a**3 + 4*a**4 + 43920*a**2 - 328064*a - v*a - 907924.
4*(a - 61)**3*(a + 1)
Suppose 4/3*j**4 - 226/3*j + 304/3*j**2 + 20 + 14/3*j**5 - 52*j**3 = 0. What is j?
-30/7, 1
Solve -1361*c**3 + 16*c**2 + 2725*c**3 - 280 - 1360*c**3 - 124*c = 0 for c.
-7, -2, 5
Let q be 6/(-27) + 110/9. Let a = 106 - 103. Factor a*o**3 - 3*o**3 + 5*o**2 + 3*o**2 + 4*o**5 - q*o**3.
4*o**2*(o - 1)**2*(o + 2)
Let j be (-2)/6 - 588/(-36). Determine p so that 2*p**3 - 4*p**3 - 18*p**2 + j*p**5 - 19*p**5 - p**3 + 12*p**4 = 0.
-1, 0, 2, 3
Let f(q) = -2*q**3 + 31*q**2 - 16*q + 21. Let r be f(15). Suppose o - 12 = -4*k, -k - 2*o + r = 3. Factor 0*l**k + 1/4 + 1/4*l**4 + 0*l - 1/2*l**2.
(l - 1)**2*(l + 1)**2/4
Suppose 25*p = 15*p - 12*p. Let m(c) be the third derivative of 0 - 1/3*c**4 - 1/30*c**6 + 0*c**3 + 11*c**2 + 1/5*c**5 + p*c. Factor m(g).
-4*g*(g - 2)*(g - 1)
Let z = -24566912 + 40510840382/1649. Let g = z - 44/97. Factor -g*a**2 - 54/17 + 2/17*a**3 + 54/17*a.
2*(a - 3)**3/17
Let d(b) be the third derivative of -b**8/2856 - b**7/255 + b**6/340 + 23*b**5/510 + 7*b**4/102 - 3751*b**2 - 1. What is z in d(z) = 0?
-7, -1, 0, 2
Let r = 2007 + -2029. Let d be (4/(-6))/(r/66). Factor -3/7*l - 6/7 + 3/7*l**d.
3*(l - 2)*(l + 1)/7
Factor 2038 + 297*t**2 + 289*t**2 - 862*t**2 + 1058 + 1044*t + 280*t**2.
4*(t + 3)*(t + 258)
Suppose 445*d = 446*d + 20. Let n be d/(-16) + 14/168. Determine w so that 4/3 + 8/3*w + n*w**2 = 0.
-1
Let q(y) = -350*y**3 + 500*y**2 + 7398*y - 17640. Let u(j) = -2*j**3 + j**2 + j. Let m(k) = q(k) - 6*u(k). Factor m(z).
-2*(z + 5)*(13*z - 42)**2
Suppose 3*v - 6400 = -17*v. Factor 30*m**2 + 1114 + v*m + 4006 - 25*m**2.
5*(m + 32)**2
Suppose 2*f = 89 - 357. Let d be (3 + 0)*f/(-2211). Determine s so that 4/11 + d*s**2 - 6/11*s = 0.
1, 2
Let r(z) be the second derivative of 0 - 16/15*z**2 + 30*z - 8/45*z**3 - 1/90*z**4. Determine n so that r(n) = 0.
-4
Suppose -9*t - 6*t + 1725 = 0. Factor -t*b**2 + 7*b**3 + 8*b**3 - 60 + 162*b - 2*b.
5*(b - 6)*(b - 1)*(3*b - 2)
Suppose 1281/2*j**3 - 8096*j + 443/4*j**4 + 21/4*j**5 - 276*j**2 - 768 = 0. Calculate j.
-8, -2/21, 3
Let b = 6240234/17 + -367072. Solve -4/17 - 40/17*x**3 + b*x + 2*x**2 = 0.
-2/5, 1/4, 1
Let g(c) be the second derivative of 1/6*c**4 - 53*c**2 - 134*c + 0 + 52/3*c**3. Find w, given that g(w) = 0.
-53, 1
Let y(b) be the second derivative of 62*b + 30*b**3 + 1/4*b**4 + 0 + 1350*b**2. Let y(v) = 0. What is v?
-30
Let j(n) = -15*n**2 - 90*n - 162. Let c(w) = 2*w**2 - 2*w - 5. Let y(v) = -6*c(v) - j(v). Factor y(s).
3*(s + 2)*(s + 32)
Solve -2468/5*m + 761378/5 + 2/5*m**2 = 0 for m.
617
Let w(c) = -17*c**2 - 486*c + 2220. Let m be w(4). Solve -96/7 - 66*y**3 - 472/7*y + 10/7*y**5 - 76/7*y**m - 752/7*y**2 = 0 for y.
-2, -1, -2/5, 12
Determine q, given that 904/5*q**2 + 126/5*q**5 - 64/5 - 984/5*q**4 - 62*q**3 + 328/5*q = 0.
-2/3, 1/7, 1, 8
Let v(u) be the second derivative of -3 + 11/20*u**6 + 81/4*u**3 + 69/20*u**5 + 81/4*u**2 + 5*u + 1/28*u**7 + 45/4*u**4. Determine j, given that v(j) = 0.
-3, -1
Find z, given that -3/5*z**4 + 66/5 - 233/5*z + 97/5*z**3 + 73/5*z**2 = 0.
-2, 1/3, 1, 33
Let d = 48 + -45. Factor -2*f**3 + 5*f**3 + 2*f**3 + 8*f**2 + 6*f - 3*f**d.
2*f*(f + 1)*(f + 3)
Let h(s) be the third derivative of -s**8/28 + 32*s**7/105 + 11*s**6/3 - 76*s**5/15 - 227*s**4/6 + 120*s**3 + 402*s**2 - 4*s. Suppose h(d) = 0. Calculate d.
-4, -5/3, 1, 9
Factor -3/7*n**5 - 78/7*n**2 + 0*n + 153/7*n**3 - 72/7*n**4 + 0.
-3*n**2*(n - 1)**2*(n + 26)/7
Suppose 11*c = 19*c - 24. Suppose r - 4*n = 22, c*n - 11 = -5*r - 16. Factor -3/2*y**3 + 0*y + 0*y**r + 0 + 3/2*y**4.
3*y**3*(y - 1)/2
Find q, given that -580*q**2 - 138*q + 48 - 909*q**5 - 5867*q**5 + 2222*q**4 + 6956*q**3 - 206*q - 1526*q**3 = 0.
-3/4, -2/7, 2/11, 1
Let i(f) be the first derivative of f**3/9 + 2074*f**2/3 + 4301476*f/3 + 6567. Factor i(b).
(b + 2074)**2/3
Factor 0 - 7551/5*d**2 - 3/5*d**3 + 0*d.
-3*d**2*(d + 2517)/5
Let f = 570219 + -25658332/45. Let l = -167/5 + f. Factor -l*d - 4/9*d**2 + 8/9.
-4*(d - 1)*(d + 2)/9
Let x(r