**3 + 0*x**2 - 1/54*x**4 + 0 - 5*x. Factor n(k).
-2*k*(k - 1)/9
Let m(n) be the second derivative of n**7/105 + 17*n**6/75 + 57*n**5/50 + 67*n**4/30 + 26*n**3/15 + 10*n - 14. Solve m(s) = 0 for s.
-13, -2, -1, 0
Let m = -1414 - -1418. Factor 112/9*r**m + 22/3*r**3 + 8/9*r - 56/9*r**2 + 0 + 32/9*r**5.
2*r*(r + 2)**2*(4*r - 1)**2/9
Factor -30 - 48*l - 70*l**2 + 35*l**2 + 33*l**2 + 134.
-2*(l - 2)*(l + 26)
What is f in -24*f - 2/5*f**3 + 112/5 + 36/5*f**2 = 0?
2, 14
Let u(q) = -60*q**3 - 2*q**2 - 3*q - 1. Let p be u(-1). Let b = p - 60. Suppose 4/3*i**2 + b*i + 2/3*i**3 - 2/3*i**5 - 1/3 - i**4 = 0. What is i?
-1, 1/2, 1
Let o(p) be the first derivative of -2/21*p**3 + 0*p + 13 + 1/7*p**2. Factor o(t).
-2*t*(t - 1)/7
Determine d, given that -33*d - 87/2*d**2 - 15*d**3 + 9/4*d**4 - 27/4 = 0.
-1, -1/3, 9
Let t(p) = 53*p**3 - 187*p**2 + 116*p. Let a(n) = -18*n**3 + 63*n**2 - 39*n. Let f(h) = -8*a(h) - 3*t(h). Factor f(q).
-3*q*(q - 3)*(5*q - 4)
Let u(k) be the first derivative of -3*k**4/8 + k**3/6 + 2*k**2 + 2*k - 64. Factor u(p).
-(p - 2)*(p + 1)*(3*p + 2)/2
Solve -253/4*x**2 - 1/4*x**4 + 105*x + 15/2*x**3 - 49 = 0.
1, 14
Let l(o) = o + 17. Let g be l(6). Let i = 10 + -7. Find v, given that g*v**i + 2*v**3 + 4*v + 2*v**2 - 22*v**2 = 0.
0, 2/5
Solve -f + 9*f + 5*f**2 - 10 - 13*f = 0.
-1, 2
Suppose -6*i - 108 = -9*i. Let l be ((-76)/14)/((-24)/i). Factor -24/7*c - 3*c**3 - l*c**2 + 12/7.
-3*(c + 1)*(c + 2)*(7*c - 2)/7
Let x be 336/(-72) - 1/3. Let k be x/5*(-2)/6. Solve 1/9*q**4 + k*q**2 - 1/3*q**3 + 0 - 1/9*q = 0.
0, 1
Let q be -4 + (9 + 2 - -4). Suppose -n + 18 = 4*j, q = 4*j - 4*n - 17. Find k such that 9/2*k**4 - 3/2 + 3/2*k**j - 3*k**2 - 9/2*k + 3*k**3 = 0.
-1, 1
Let a be (-8 - -6) + 0 + 6. Let x = a + -2. Suppose -32*u**5 - 2*u + 0*u**3 - 2*u**3 + 48*u**4 + 13*u**x - 25*u**2 = 0. What is u?
-1/4, 0, 1
Let k(l) = 6*l**3 - 6*l**2 - 9*l**2 - 32*l**3 + 6*l**2 + l. Let j(f) = 9*f**3 + 3*f**2. Let u(g) = 17*j(g) + 6*k(g). Determine h so that u(h) = 0.
-2, 0, 1
Let m(c) be the third derivative of -2*c**5/15 + 23*c**4/12 + 2*c**3 + 14*c**2. Find d, given that m(d) = 0.
-1/4, 6
Let l(s) be the second derivative of s**5/10 - 4*s**4/3 - 302*s. Factor l(v).
2*v**2*(v - 8)
Let w(p) = 4*p**2 - 6*p. Let h(o) = -o**2 + 2*o. Let g(t) = 21*h(t) + 6*w(t). Factor g(r).
3*r*(r + 2)
Let o be (-4)/758*1/5. Let g = 15146/13265 - o. Factor -2/7 + 10/7*c - g*c**2.
-2*(c - 1)*(4*c - 1)/7
Let a be (-15 + 19 + -5)/((-2)/6). Let y(h) be the first derivative of -1/7*h**a + 4 + 3/7*h + 3/14*h**2 - 3/28*h**4. Solve y(k) = 0.
-1, 1
Let p(s) be the first derivative of 5*s**3/9 + 5*s**2/2 - 50*s/3 - 7. Suppose p(i) = 0. What is i?
-5, 2
Factor -30*j**2 - 24 + 25 - 28*j - 4 + 5*j**2.
-(j + 1)*(25*j + 3)
Let j(t) = -2*t**2 - 17*t + 19. Let m(b) = -16*b - 83 + 74 + b**2 + 24*b. Let f(h) = -6*j(h) - 13*m(h). Factor f(l).
-(l - 1)*(l + 3)
Suppose 78 = -72*m + 111*m. Let o(q) be the first derivative of 3/2*q + 9 - 1/4*q**3 - 3/8*q**m. Suppose o(f) = 0. What is f?
-2, 1
Factor 38/13 + 40/13*j + 2/13*j**2.
2*(j + 1)*(j + 19)/13
Let i(l) be the first derivative of 10*l**3/57 + 27*l**2/19 - 36*l/19 + 48. Suppose i(s) = 0. Calculate s.
-6, 3/5
Find v such that 21/5*v + 38/5 + 1/5*v**2 = 0.
-19, -2
Let w be (1/(-2))/((-41)/(1599/26)). Let l = 73 - 289/4. Factor l*g + 3/2 - w*g**2.
-3*(g - 2)*(g + 1)/4
Let q(y) be the first derivative of 0*y + 4/21*y**2 + 16/63*y**3 + 2 - 5/42*y**4. Let q(z) = 0. What is z?
-2/5, 0, 2
Determine q so that 0*q - 283 + q**3 + 2*q**2 + 281 - q = 0.
-2, -1, 1
Let s = 71 - 71. Let g(n) be the first derivative of -1/5*n**5 + s*n**4 - 2 - n + 2/3*n**3 + 0*n**2. What is d in g(d) = 0?
-1, 1
What is o in 10/7*o**3 + 0 - 4*o**2 + 8/7*o + o**4 - 3/7*o**5 = 0?
-2, 0, 1/3, 2
Solve -466/3*l**2 - 27*l**4 - 314/3*l**3 - 1/3*l**5 - 77/3 - 103*l = 0.
-77, -1
Let i = 31124 + -342362/11. Let -i*k**2 + 10/11*k - 2/11*k**3 - 6/11 = 0. Calculate k.
-3, 1
Let l(p) be the second derivative of 0 + 11*p + 0*p**2 + 1/60*p**6 - 1/6*p**3 + 1/20*p**5 - 1/24*p**4. Let l(n) = 0. Calculate n.
-2, -1, 0, 1
Factor -1/6*z**3 + 0 - 19/6*z**2 + 0*z.
-z**2*(z + 19)/6
Let k(j) be the second derivative of 0*j**3 + 1/72*j**4 + 0 - 1/12*j**2 + 2*j. Factor k(m).
(m - 1)*(m + 1)/6
Suppose -162*c**4 + 327*c**4 - 90*c**2 - 108*c - 167*c**4 - 24*c**3 = 0. What is c?
-6, -3, 0
Suppose -t - 86 = 3*f - 92, 5*t = -f + 16. Factor 10/9*c**t + 0 + 0*c - 4/9*c**2.
2*c**2*(5*c - 2)/9
Let 0 - 1/7*b**3 + 0*b + 2/7*b**2 - 2/7*b**4 + 1/7*b**5 = 0. Calculate b.
-1, 0, 1, 2
Let t(z) = -z**2 + 10*z - 15. Let r be t(7). Suppose -9*m + r*m**2 - m + 10*m**2 - 11*m**2 + 5 = 0. What is m?
1
Let i(s) be the second derivative of s**4/54 - 32*s**3/27 + 112*s**2/9 + 42*s - 7. Factor i(l).
2*(l - 28)*(l - 4)/9
Factor -71244*i**3 + 30*i + 71214*i**3 - 140*i**2 - 35*i**2.
-5*i*(i + 6)*(6*i - 1)
What is h in 2*h**3 + 0*h + 0 - 2/5*h**4 + 12/5*h**2 = 0?
-1, 0, 6
Let w(i) be the third derivative of i**5/60 - 11*i**4/6 + 43*i**3/6 - 31*i**2. Factor w(v).
(v - 43)*(v - 1)
Let z(p) be the first derivative of -p**4/2 + 4*p**3 - 3*p**2 - 20*p - 158. Solve z(g) = 0.
-1, 2, 5
Let s(o) be the first derivative of 1 + 2/45*o**3 + 32/15*o - 8/15*o**2. Determine x so that s(x) = 0.
4
Determine h so that -2/15*h**4 - 2/15*h**2 + 4/15 - 2/5*h + 2/5*h**3 = 0.
-1, 1, 2
Let f(u) be the first derivative of 0*u**5 + 6*u - 3 + 0*u**3 + 1/12*u**4 + 0*u**2 - 1/30*u**6. Let c(p) be the first derivative of f(p). What is j in c(j) = 0?
-1, 0, 1
What is v in 4644*v - 4540*v - 4*v**2 + 2*v**2 + 216 = 0?
-2, 54
Let n be ((-117)/45)/(1*(-1)/5). Factor -3*h**4 + h**3 - 11*h**4 - 2*h**4 - n*h**3 + 4*h**2.
-4*h**2*(h + 1)*(4*h - 1)
Let t(h) = 2*h**2 - 17*h + 10. Let s be t(8). Let q = -1 - -4. Find k, given that -13*k + 4*k**s - 9*k**q + 15*k + 3*k**2 = 0.
-2/9, 0, 1
Let w(g) = 2*g**3 + 16*g**2 - 10*g - 165. Let f be w(-7). Factor -16/9 - 44/3*x**2 - 10/9*x**4 + 62/9*x**f + 104/9*x.
-2*(x - 2)**3*(5*x - 1)/9
Solve 18*h**2 - 10*h**5 + 107*h**2 + 35*h + h**3 - 5*h**3 + h**3 - 85*h**4 - 40 - 22*h**3 = 0.
-8, -1, 1/2, 1
Let l = -229/40040 + -5/1001. Let h = l + 1153/3080. Solve -2/11*a - 2/11*a**3 + 0 - h*a**2 = 0 for a.
-1, 0
Let o(b) be the first derivative of 9*b**4 + 112/15*b**3 - 28 - 24/5*b - 46/5*b**2. Suppose o(d) = 0. What is d?
-1, -2/9, 3/5
Let r = 22116/3279283 - -2/11347. Let n = 584/867 - r. Let -1/3 - 1/3*m**4 + 2/3*m**3 - 1/3*m + n*m**2 - 1/3*m**5 = 0. Calculate m.
-1, 1
Suppose -91*k - 12*k = 0. Find x, given that k + 2/13*x**3 + 2/13*x**2 - 2/13*x**4 - 2/13*x = 0.
-1, 0, 1
Let m be (-8 - (-6 - 0))*(-2)/310. Let s = m - -149/465. Determine t so that 0*t + 1/3*t**4 - s*t**2 + 0 + 0*t**3 = 0.
-1, 0, 1
Let m(s) be the first derivative of s**6/21 + 16*s**5/35 + 8*s**4/7 + 226. Factor m(d).
2*d**3*(d + 4)**2/7
Factor 7 - 9*m**4 - 14*m**3 - 370*m**2 - 361*m**2 - m**5 + 15*m + 733*m**2.
-(m - 1)*(m + 1)**3*(m + 7)
Let m(l) be the second derivative of -l**6/1080 - l**5/360 - l**3/6 + 23*l. Let p(s) be the second derivative of m(s). Factor p(j).
-j*(j + 1)/3
Let f(z) = -20*z**4 - 251*z**3 - 911*z**2 - 989*z. Let t(r) = 4*r**4 + 50*r**3 + 182*r**2 + 198*r. Let k(x) = -2*f(x) - 11*t(x). Factor k(h).
-4*h*(h + 2)*(h + 5)**2
Let j(n) be the first derivative of n**3 - 12*n - 6*n**2 - 38 + 3/4*n**4. Factor j(k).
3*(k - 2)*(k + 1)*(k + 2)
Suppose u + 2 = -2*c + 26, 0 = -3*u + 12. Suppose 2*k - 4*k + c*k**3 + 5*k**2 - 5*k**4 + 2*k - 10*k = 0. Calculate k.
-1, 0, 1, 2
Let p(r) be the second derivative of 15*r**4/4 + 475*r**3/6 - 110*r**2 - 634*r. Factor p(o).
5*(o + 11)*(9*o - 4)
Suppose t + 3*p = 43, 5*t + 4*p - 182 = -0*t. Let m be 8 + 2 + -6 - t/9. Suppose 2/9*d + 4/9 - m*d**2 = 0. Calculate d.
-1, 2
Let t(l) be the second derivative of l**4/3 - 6*l**3 + 34*l**2 + 6*l. Let w = -3 + 0. Let x(j) = -4*j**2 + 35*j - 67. Let f(m) = w*t(m) - 4*x(m). Factor f(b).
4*(b - 4)**2
Suppose 25*o - 288 = 19*o. Let m = -46 + o. Factor -6/5*h + 2/5*h**m + 4/5.
2*(h - 2)*(h - 1)/5
Let t(h) be the second derivative of -3*h + 0*h**2 + 0*h**4 + 3/20*h**5 + 0 + 0*h**3. Factor t(x).
3*x**3
Let b(f) be the first derivative of -f**6/30 - 2*f**5/25 + f**4/2 + 8*f**3/15 - 33*f**2/10 + 18*f/5 - 274. Let b(o) = 0. Calculate o.
-3, 1, 2
Let w(r) = r**2 + 3*r - 24. Let n be w(-7). Find s such that