84*a**3 - 242*a**2 - 676*a**4.
-4*a*(a + 1)*(13*a + 2)**2
Let q(y) be the second derivative of y**6/20 - 633*y**5/20 + 105*y**4/2 + 211*y**3/2 - 1263*y**2/4 + 8107*y. What is f in q(f) = 0?
-1, 1, 421
Let b(z) be the third derivative of -z**5/40 + 3*z**4/4 + 13*z**3/4 + 5*z**2 + 2*z - 12. Factor b(l).
-3*(l - 13)*(l + 1)/2
Let y(p) = -419*p - 406. Let s be y(-1). Let g(v) be the second derivative of -s*v - 3*v**2 + v**3 - 1/8*v**4 + 0. Factor g(x).
-3*(x - 2)**2/2
Let l(w) = -19*w**2 - 29*w + 7. Let n be l(-5). Let j = 325 + n. Factor 1/4*k**j + 1/2 - 3/4*k.
(k - 2)*(k - 1)/4
Let c(m) = -4*m**2 - 20*m + 212. Let h(y) = 9*y**2 + 47*y - 422. Let p(j) = 5*c(j) + 2*h(j). Factor p(i).
-2*(i - 9)*(i + 12)
Let v be (-1*4 - (-13 + 7)) + 2. Suppose -i + 2 = 2*g, -5*i = 5*g - v*i - 8. Determine w so that -11*w**2 + 3*w**g - 2*w**2 - 127 - 100*w + 5*w**3 + 7 = 0.
-2, 6
Let v(f) be the first derivative of -f**4/2 - 88*f**3/3 + 45*f**2 - 4018. Factor v(o).
-2*o*(o - 1)*(o + 45)
Let u(s) be the first derivative of -2/5*s**2 - 1/15*s**3 - 34 + s. Solve u(m) = 0.
-5, 1
Suppose 0 = 14*x - 5*x - 27. Factor -8*g**4 - 5*g**2 - 5*g**3 + 13*g**2 + 35*g**x.
-2*g**2*(g - 4)*(4*g + 1)
Solve 1/8*z**5 + 121/8*z**3 + 123/8*z**4 - 123/8*z**2 - 61/4*z + 0 = 0 for z.
-122, -1, 0, 1
Let d = 2/38087 + 5417/457044. Let q(x) be the second derivative of -4/21*x**3 + 0 - 2*x + d*x**4 + 8/7*x**2. Factor q(m).
(m - 4)**2/7
Let f(n) = 3*n**3 - 4*n**2 - 13*n + 18. Let l = -585 - -587. Let u(b) = 3*b**3 - 3*b**2 - 12*b + 18. Let v(x) = l*u(x) - 3*f(x). Factor v(h).
-3*(h - 3)*(h - 1)*(h + 2)
Let g(o) be the first derivative of 5*o**3/9 + 475*o**2/3 + 45125*o/3 - 2925. Let g(h) = 0. Calculate h.
-95
Let p(l) = -3*l**3 + 820*l**2 + 4650*l + 6840. Let h(w) = w**3 - 410*w**2 - 2325*w - 3420. Let t(y) = 13*h(y) + 6*p(y). Factor t(x).
-5*(x + 3)**2*(x + 76)
Let p(h) be the first derivative of -50*h**2 - 28 + 10/3*h**3 + 6*h**5 - 15/2*h**6 - 40*h + 145/4*h**4. Find b, given that p(b) = 0.
-1, -2/3, 1, 2
Let k = 2197 - 109849/50. Let m(w) be the second derivative of 11*w + 2/15*w**4 - k*w**5 + 0 - 1/3*w**3 + 2/5*w**2. Let m(g) = 0. What is g?
1, 2
Let j(b) = 5*b**3 + 839*b**2 - 1681*b + 829. Let u(c) = -15*c**3 - 2516*c**2 + 5044*c - 2491. Let z(q) = -11*j(q) - 4*u(q). Factor z(p).
5*(p - 1)**2*(p + 169)
Let n(x) be the first derivative of x**6/57 - 44*x**5/95 + 68*x**4/19 - 736*x**3/57 + 464*x**2/19 - 448*x/19 - 738. Factor n(b).
2*(b - 14)*(b - 2)**4/19
Factor 12 + 564*x + 68 + 2*x**2 + 80 + 12*x**2.
2*(x + 40)*(7*x + 2)
Factor 76/7*g + 52/7 + 23/7*g**2 - 1/7*g**3.
-(g - 26)*(g + 1)*(g + 2)/7
Let r(f) = -3*f**2 - 33*f - 90. Let z(s) = -3*s**2 - 32*s - 93. Let m(k) = -k**2 - 21*k + 43. Let j be m(-23). Let g(w) = j*z(w) + 4*r(w). Factor g(l).
-3*(l + 3)*(l + 9)
Let l be 870/(-3915)*(-3 + 2). Find m such that 2/9*m - l*m**3 + 0 + 0*m**2 = 0.
-1, 0, 1
Find d, given that 45*d - 44 - 42*d + 8*d**2 + 39*d - 63*d = 0.
-11/8, 4
Factor 1/3*d**4 + 14/3*d**2 + 8/3*d + 0 + 7/3*d**3.
d*(d + 1)*(d + 2)*(d + 4)/3
Let t(m) be the third derivative of 0*m - 230*m**2 + 22/15*m**5 - 7/3*m**4 + 1/105*m**7 + 0*m**3 - 17/60*m**6 + 0. Factor t(q).
2*q*(q - 14)*(q - 2)*(q - 1)
Let l(b) = b + 20. Let a be l(-17). Suppose 0 = a*g - 5 - 1. Solve -7*t + 16 - 12*t**4 + 40*t**3 - 14*t**g + 2*t**2 - 41*t = 0 for t.
-1, 1/3, 2
Let x(d) be the first derivative of d**6/6 + 56*d**5/5 - 29*d**4/2 - 56*d**3/3 + 57*d**2/2 - 176. Solve x(w) = 0.
-57, -1, 0, 1
Let a be (-100)/6 - (-1)/3*2. Let q(p) = -4*p - 64. Let r be q(a). Determine v so that 1/6*v**3 - 1/3*v + 1/6*v**2 + r = 0.
-2, 0, 1
Let f(p) = p + 1. Let l be f(1). Suppose 2*o - 4*q = -0*q + l, -2*o = -5*q. Factor 2*k + 8*k**4 + k**5 + 5*k**5 - o*k**5 + 12*k**3 + k**5 + 8*k**2.
2*k*(k + 1)**4
Suppose -3*k = u + 10 + 1, 5*u + 77 = -4*k. Let q(i) = 3*i + 54. Let a be q(u). Factor 2*j**3 + 196*j - 784*j + 84*j**2 + 1372 + j**3 - 7*j**a.
-4*(j - 7)**3
Factor 51*m**2 - 9/4*m**3 + 0 + 69/4*m.
-3*m*(m - 23)*(3*m + 1)/4
Let k(r) be the second derivative of -2/7*r**3 - 4/7*r**2 - 1/21*r**4 - 74*r + 0. Factor k(o).
-4*(o + 1)*(o + 2)/7
Let t(h) = 14*h**3 + 19*h**2 - 115*h - 182. Let k(z) = -13*z**3 - 18*z**2 + 115*z + 189. Let g(q) = 4*k(q) + 3*t(q). Factor g(f).
-5*(f + 2)*(f + 3)*(2*f - 7)
Let x = -3246 - -3249. Let o(q) be the first derivative of 1/3*q**x - 1/2*q**2 - 12 - 1/12*q**4 + 1/3*q. Determine d so that o(d) = 0.
1
Let j = 27339 - 136691/5. What is o in -j*o**5 + 4*o**3 - 16/5*o - 4*o**2 + 16/5 + 4/5*o**4 = 0?
-2, -1, 1, 2
Determine w so that -2/3*w**3 + 2/3*w**5 + 0 + 0*w + 4/3*w**2 - 4/3*w**4 = 0.
-1, 0, 1, 2
Let k(n) = -4*n**3 - 188*n**2 + 338*n + 140. Let c(i) = -19*i**3 - 940*i**2 + 1692*i + 704. Let z(t) = 4*c(t) - 22*k(t). What is u in z(u) = 0?
-33, -1/3, 2
Let c = -3/2128 - -89911/2128. Determine x so that 1/4*x**2 + c - 13/2*x = 0.
13
Suppose -2*z + 6 = 0, -z + 9 = -2*q + 4*q. Determine a, given that -328 + 39*a**q + 677 - 340 - 12*a**4 + 3*a**2 - 39*a = 0.
-1, 1/4, 1, 3
Let h(x) = -70*x**2 - 69310*x + 59996480. Let w(i) = 19*i**2 + 17328*i - 14999120. Let s(f) = 4*h(f) + 15*w(f). Solve s(j) = 0.
1732
Let i(a) be the second derivative of a**4/42 - 324*a**3/7 + 236196*a**2/7 + 27*a - 25. Factor i(v).
2*(v - 486)**2/7
Suppose 3*i - 2 = 7. Factor -1359*w**3 + 1359*w**i + 7*w**4 - 2*w**4 - 20*w**2.
5*w**2*(w - 2)*(w + 2)
Let v(i) be the third derivative of i**8/112 + i**7/14 - i**6/40 - i**5/4 - 246*i**2. Factor v(o).
3*o**2*(o - 1)*(o + 1)*(o + 5)
Let q(r) be the first derivative of -r**4/22 - 1372*r**3/33 - 1369*r**2/11 - 1368*r/11 - 9488. Solve q(y) = 0.
-684, -1
Factor 16/11 - 4/11*x - 2/11*x**2.
-2*(x - 2)*(x + 4)/11
Let q(v) be the third derivative of -v**2 + 58 + 0*v - 1/15*v**5 + 17/6*v**4 - 20*v**3. Find n such that q(n) = 0.
2, 15
What is s in 936*s**4 + 90*s**3 + 920*s**4 - 1859*s**4 = 0?
0, 30
Let o(v) = v**3 - 18*v**2 + 128*v - 8. Let c(f) = -6*f**3 + 126*f**2 - 894*f + 54. Let s(l) = -4*c(l) - 27*o(l). Suppose s(t) = 0. Calculate t.
-10, 0, 4
Let s(f) be the first derivative of -3*f**5/5 + 297*f**4/4 - 385*f**3 + 1431*f**2/2 - 570*f - 3952. Factor s(n).
-3*(n - 95)*(n - 2)*(n - 1)**2
Let z(k) = 2*k**3 + 74*k**2 - 2*k. Let g be z(-37). Let -14*r**3 + 11*r**3 + g*r**4 + 3*r + 3*r**2 - 77*r**4 = 0. Calculate r.
-1, 0, 1
Let l be 3/(-6)*(-3 + 27)/(-4). Let s(b) be the third derivative of -1/30*b**5 + 0*b**4 + 8*b**2 + 0 + 0*b**l + 7/100*b**6 - 4/525*b**7 + 0*b. Factor s(y).
-2*y**2*(y - 5)*(4*y - 1)/5
Let w(q) be the first derivative of -2/39*q**3 - 34/13*q**2 - 578/13*q - 61. Factor w(z).
-2*(z + 17)**2/13
Let s(h) = 2*h**3 + 10*h**2 + 30*h + 92. Let k be s(-4). Factor -8 - 114/5*n**2 + 2/5*n**k - 118/5*n - 34/5*n**3.
2*(n - 20)*(n + 1)**3/5
Let d(x) be the third derivative of -1/450*x**5 + 0 - 19/90*x**4 + 0*x + 13/15*x**3 - 183*x**2. Factor d(k).
-2*(k - 1)*(k + 39)/15
Let i(z) be the third derivative of 77*z**2 + 41/105*z**6 + 0 - 2/49*z**7 - 50/7*z**3 + 0*z + 205/42*z**4 - 66/35*z**5 + 1/588*z**8. Solve i(y) = 0 for y.
1, 3, 5
Let y(d) be the first derivative of d**4/4 - 27*d**3/2 + 39*d**2 - 28*d - 185. Let o(g) be the first derivative of y(g). Determine r, given that o(r) = 0.
1, 26
Let z be 29 - 40 - ((-1970)/45)/((-20)/(-12) - 1). Determine a, given that 14*a**4 + 16/3 - 58/3*a**2 - 164/3*a + z*a**3 = 0.
-4, -1, 2/21, 1
Let k be 5/((-10)/(-6))*1. Let w be (-2)/k - 112/(-24). Let -3*z + 220 - w*z**3 - 212 + 15*z = 0. Calculate z.
-1, 2
Suppose 0 = 113*f - 1004*f + 2673. Factor -2/9*k**2 + 2/9*k**4 - 16/9*k - 2/9*k**5 + 10/9*k**f - 8/9.
-2*(k - 2)**2*(k + 1)**3/9
Let j(p) be the third derivative of 0*p + 2*p**2 - 1 + 0*p**3 - 21/8*p**4 + 1/20*p**5. Factor j(t).
3*t*(t - 21)
Let s = 36977/2 + -18487. Let j(v) be the first derivative of s*v**2 + 35 + 1/3*v**3 + 2*v. Find p, given that j(p) = 0.
-2, -1
Let o = -7009 + -3209. Let f be (-34191)/o + 22/(-26) + 1. Factor 1/2*h**3 - f*h + h**2 + 2.
(h - 1)**2*(h + 4)/2
Suppose -4*z + 673 = -9*z + 4*t, 4*t = 8. Let x = -398/3 - z. Let 2/9 + 1/9*s**3 + 0*s**2 - x*s = 0. Calculate s.
-2, 1
Let n(h) be the third derivative of -h**5/20 - 999*h**4/4 - 998001*h**3/2 - 725*h**2. Solve n(a) = 0 for a.
-999
Let l(k) be the first derivative of 2*k**6/21 - 6*k**5/35 - 25*k**4/7 - 16*k**3/7 + 1421. Solve l(s) = 0.
