). Factor y(b).
3*(b + 1)**2*(b + 1837)
Determine t so that 170/3 - 2/3*t**2 + 8*t = 0.
-5, 17
Suppose -46/11 + 92/11*x**3 + 2/11*x**5 - 94/11*x + 50/11*x**4 - 4/11*x**2 = 0. Calculate x.
-23, -1, 1
Let s(y) be the third derivative of y**6/300 + y**5/10 - y**4/60 - y**3 + 689*y**2. Factor s(u).
2*(u - 1)*(u + 1)*(u + 15)/5
Let h(a) = 9*a + 29. Let r(p) = -5*p - 15. Let l(y) = 6*h(y) + 13*r(y). Let s be l(-20). Factor -199 + 2*j**4 + 4*j**3 + s.
2*j**3*(j + 2)
Factor -5*q**4 - 40 - 40*q**3 + 31*q + 174*q**2 - 578*q**2 - 141*q + 299*q**2.
-5*(q + 1)**2*(q + 2)*(q + 4)
Let g(p) be the second derivative of p**5 + 1/6*p**6 - 25/12*p**4 - 3 + 0*p**3 + 0*p**2 - 12*p. Factor g(t).
5*t**2*(t - 1)*(t + 5)
Let g be (346/(-78) - -3)/(6280/150 - 42). Suppose -184/13*d**2 - 398/13*d**3 + 98/13*d**5 - 24/13*d + 0 - g*d**4 = 0. What is d?
-1, -2/7, 0, 3
Let s(d) be the first derivative of -30 + 215*d**2 - 5/3*d**3 - 9245*d. Factor s(i).
-5*(i - 43)**2
Let y = 227 + -221. Let r(d) be the third derivative of -1/120*d**y + 0*d + 1/30*d**5 - 1/3*d**3 + 1/24*d**4 - 2*d**2 + 0. Let r(g) = 0. What is g?
-1, 1, 2
Let z(g) = g**3 + 24*g**2 + 22*g - 16. Let o be z(-23). Suppose 6*i - o*i + 4 = 0. Factor i*j**3 + 9*j**2 - 3*j + 421 - j**3 - 430.
3*(j - 1)*(j + 1)*(j + 3)
Let u(j) be the third derivative of 5*j**9/3024 - j**7/168 - 19*j**3/2 - 3*j**2. Let w(h) be the first derivative of u(h). Suppose w(t) = 0. What is t?
-1, 0, 1
Let d(w) = -12*w**3 - 32*w**2 + 100*w - 76. Let y(k) = 14*k**3 + 32*k**2 - 98*k + 76. Let h(o) = -6*d(o) - 5*y(o). Let h(p) = 0. Calculate p.
-19, 1, 2
Suppose 23 = 4*p - 21. Let u = p + -9. Suppose -u*o**2 + 6*o**2 - 2*o**2 + 14*o + 10*o + 8*o**4 - 24*o**3 + 8 = 0. What is o?
-1/2, 2
Let u(i) be the second derivative of 72*i**3 + 0*i**2 + 3/20*i**5 - 89 + 2*i - 6*i**4. Factor u(g).
3*g*(g - 12)**2
Let b(y) be the second derivative of -y**7/105 - 6*y**6/5 + 277*y**5/50 - 31*y**4/5 - 17*y - 10. Suppose b(v) = 0. Calculate v.
-93, 0, 1, 2
Let 693842/17 + 2/17*v**2 - 2356/17*v = 0. Calculate v.
589
Suppose 6*l - 12 = 2*l, 0 = 3*h - l - 6. Suppose 41*m**2 + 22 + 34 + 74*m**2 + 76*m + m**h - m**4 - 85*m**2 = 0. What is m?
-2, 7
Suppose 0 = 12*l - 9*l - 6, -3*b - 3*l + 6 = 0. Let s(j) be the first derivative of 0*j + b*j**2 + 15 - 1/7*j**4 + 4/7*j**3. What is q in s(q) = 0?
0, 3
Factor -3294 + 64320*a**2 + 1095 - 64317*a**2 + 987*a + 1209*a.
3*(a - 1)*(a + 733)
Factor 10469*f + 22041*f + 11276*f - 4782420*f**2 + 173229880*f**3 + 224*f - 135.
5*(326*f - 3)**3
Let o be -6*36/72*-3 - (582/(-22))/(-3). Determine c so that 0 + 6/11*c**3 - o*c**2 + 2/11*c**4 - 6/11*c = 0.
-3, -1, 0, 1
Let u(s) = -1342*s - 29521. Let v be u(-22). Suppose 0 - 6/11*a**4 + 6/11*a**5 - 24/11*a - 54/11*a**v - 6*a**2 = 0. Calculate a.
-1, 0, 4
Let i(x) be the first derivative of 2*x**5/5 - 129*x**4/2 + 2448*x**3 + 32368*x**2 - 11016. Factor i(n).
2*n*(n - 68)**2*(n + 7)
Let c(u) be the third derivative of 2/3*u**3 - 1/20*u**6 + 1/315*u**7 + 7/30*u**5 + 3*u**2 + 0*u - 19/36*u**4 + 17. Find x, given that c(x) = 0.
1, 6
Let q = 2047807/196905 + 1/39381. Factor -338/5*i**2 + q*i - 2/5.
-2*(13*i - 1)**2/5
What is w in 144*w + 2/7*w**3 - 138/7*w**2 + 7560 = 0?
-15, 42
Let z = 360449/11 + -32768. Factor z*o**2 + 3/11 - 5/11*o + 1/11*o**3.
(o - 1)**2*(o + 3)/11
Let x = -1627/35 - -401/7. Let o(p) be the second derivative of 0 - x*p**6 + 0*p**2 - 13*p - 9*p**5 - 8/3*p**3 + 32/3*p**4. Factor o(c).
-4*c*(c + 1)*(9*c - 2)**2
Let a(k) be the second derivative of k**6/1440 + k**5/60 + 5*k**4/32 + 41*k**3/6 + 118*k. Let i(f) be the second derivative of a(f). Factor i(u).
(u + 3)*(u + 5)/4
Let x be (-155)/(-35) + -4 - 184/(-28). Factor 0 + x + 10 - 7 + 45*v + 20*v**2.
5*(v + 2)*(4*v + 1)
Factor -420 - 2018*a + 112*a**3 - 94*a**3 - 522*a**2 - 157*a**2 + 107*a**2.
2*(a - 35)*(a + 3)*(9*a + 2)
Factor 38*i**2 - 278*i**2 - 246*i - 21*i**3 - 627*i**2.
-3*i*(i + 41)*(7*i + 2)
Suppose 2*a = -i + 19 - 5, 3*a - 15 = 0. Suppose g + i = 9. Determine w, given that -4*w**2 + 4*w - 2*w**g + 0*w + 7*w - 9*w + 4*w**4 = 0.
-1, 0, 1
Suppose 2*c + 6*c - 104 = 0. Let s(i) = 2*i**2 - 25*i + 2. Let z be s(c). Factor 22*m**2 + m**4 + 9*m + 9 + z*m + 8*m**3 + 7*m - 7*m.
(m + 1)**2*(m + 3)**2
What is f in -72/19*f + 0 + 2/19*f**4 + 72/19*f**2 - 22/19*f**3 = 0?
0, 2, 3, 6
Suppose 4*n - 146 - 51 = -5*o, o = -n + 49. Let z be (-4)/n*2*(-7 - 3). Determine k, given that -4/3*k**2 + z*k + 1/3*k**3 - 2/3 = 0.
1, 2
Suppose 0 = 69*k - 45*k. Let r(d) be the first derivative of 1/3*d**6 + k*d - 6/5*d**5 + 1/2*d**4 - 20 - 2*d**2 + 2*d**3. Factor r(m).
2*m*(m - 2)*(m - 1)**2*(m + 1)
Let z = -1892 + 53. Let a = z - -1851. What is u in -6*u - a*u**2 + 0 + 3/2*u**5 + 3*u**4 - 9/2*u**3 = 0?
-2, -1, 0, 2
Let g(w) = -15*w**2 - 7416*w - 6874931. Let b(l) = -7*l**2 - 3708*l - 3437454. Let j(c) = 13*b(c) - 6*g(c). Factor j(a).
-(a + 1854)**2
Let v(b) = b**3 - 21*b**2 + 80*b. Let c be v(16). Let m(r) be the first derivative of 2*r**3 + 3/4*r**4 + c*r**2 + 0*r + 15. Factor m(g).
3*g**2*(g + 2)
Factor 196*h**2 - 328*h**5 - 156*h + 156*h**5 + 6*h**4 + 173*h**5 - 75*h**3.
h*(h - 3)*(h - 2)**2*(h + 13)
Let m(i) = 2*i**3 - 9*i**2 + 2888*i - 11533. Let y be m(4). Find w, given that 19/3*w**2 + 0 - 3*w - 11/3*w**y + 1/3*w**4 = 0.
0, 1, 9
Suppose g + 5*o = 115, 4*g - 12*o = -7*o + 435. Let r be 84/g - (-92)/(-230). Factor -50/11 - 42/11*w**2 + r*w**3 + 120/11*w.
2*(w - 5)**2*(2*w - 1)/11
Let a = 49 + -46. Suppose a*x + 105 = 6*x. Find q, given that 93*q**3 + 60*q**2 + x*q**3 - 163*q**3 + 20*q = 0.
-2/7, 0, 2
Factor 71*o - 4*o**2 - 67*o - 126*o - 28*o - 122*o.
-4*o*(o + 68)
Let k(c) be the second derivative of c**4 - 1808*c**3/3 + 602*c**2 - 26*c - 28. Determine u so that k(u) = 0.
1/3, 301
Find x, given that -68/9 - 194/9*x - 196/9*x**2 - 4/3*x**4 - 82/9*x**3 = 0.
-17/6, -2, -1
Let x = -3916328/5 - -783266. Suppose 0*n - 4/15*n**4 + x*n**3 + 0 + 0*n**2 - 2/15*n**5 = 0. Calculate n.
-3, 0, 1
Let x = 5910 + -5910. Let o(b) be the second derivative of 1/5*b**2 + x + 96/25*b**5 - 13/15*b**3 + 8/15*b**4 - 18*b. Find i, given that o(i) = 0.
-1/3, 1/8
Determine a so that -1470 - 1396/3*a**2 - 1904*a - 2/3*a**4 - 32*a**3 = 0.
-21, -5, -1
Let 124*t - 124*t**3 - 584/7 + 596/7*t**2 - 12/7*t**4 = 0. Calculate t.
-73, -1, 2/3, 1
Let k be 297/273 - (-11 + 1900/175). Determine c, given that 6/13 + k*c - 6/13*c**2 = 0.
-1/3, 3
Let c = 4740 + -4718. Let q(g) be the first derivative of 22 - c*g**3 - 27*g - 3/5*g**5 + 6*g**4 + 36*g**2. Find o such that q(o) = 0.
1, 3
Let p = 168820/133 - 24090/19. Let p*k - 10/7*k**3 + 6/7*k**2 + 2/7*k**4 - 8/7 = 0. Calculate k.
-1, 1, 4
Suppose x + 1644 = 3*o - 0*x, -5*o - 4*x = -2740. Let y = -4226 - -4298. Factor -18*b - y*b**3 - 16*b**4 + o*b**2 - 10*b + 0 - 629*b**2 - 3.
-(b + 1)*(b + 3)*(4*b + 1)**2
Let z(k) be the second derivative of k**7/273 + 11*k**6/65 - 7*k**5/13 + k**4/39 + 23*k**3/13 - 35*k**2/13 - 4*k + 123. Suppose z(a) = 0. What is a?
-35, -1, 1
Let z(y) be the first derivative of -2/7*y**2 + 10/21*y**6 + 5/7*y**4 - 54/35*y**5 + 0*y + 6/7*y**3 - 103. Suppose z(k) = 0. Calculate k.
-1/2, 0, 1/5, 1, 2
Let s be ((-36)/18)/(2/(-433)). Let p = s + -431. Factor 4/7*o - 4/7*o**p + 8/7.
-4*(o - 2)*(o + 1)/7
Suppose 20 = -33*p + 31*p. Let m be (-4)/p*(-585)/(-99) - 2. Let -6/11*w**4 + 0*w**2 + 0 - m*w**3 + 0*w - 2/11*w**5 = 0. Calculate w.
-2, -1, 0
Let z be (-3 + 2)/(-1 + 16/20). Let j be -1*z/2*(-30)/25. Let 4*d - 134*d**2 - 4 + 12*d + 131*d**2 - j*d = 0. What is d?
1/3, 4
Let y(h) be the second derivative of -h**5/50 + h**4/15 + 11*h**3/15 - 12*h**2/5 + 1070*h. Factor y(n).
-2*(n - 4)*(n - 1)*(n + 3)/5
Let m(x) be the second derivative of -449*x**4/6 - 2*x**3/9 - 13366*x. Suppose m(v) = 0. Calculate v.
-2/1347, 0
Let p(g) be the third derivative of -g**6/180 - 209*g**5/90 - 103*g**4/18 + 416*g**3/9 - g**2 + 12*g + 49. Factor p(u).
-2*(u - 1)*(u + 2)*(u + 208)/3
Let t(h) be the first derivative of -2*h**5/35 + 53*h**4/7 - 2446*h**3/7 + 45580*h**2/7 - 369800*h/7 - 2123. Determine v, given that t(v) = 0.
10, 43
Let s(r) be the first derivative of r**4/38 + 32*r**3/57 + 28*r**2/19 - 5244. Factor s(k).
2*k*(k + 2)*(k + 14)/19
Suppose -52*q**3 - 600 + 128*q - 1570*q**2 + 4*q**4 - 296 + 1738*q**2 = 0. What is q?
-2, 4, 7
Let x(p)