 6*k**2 - 7369*k + 7421*k + 9*k**2 + 4*k**3.
4*k*(k + 1)*(k + 13)
Let n be 190/2660*-9*(-10)/15. Factor 0 + 2/7*z**2 + n*z.
z*(2*z + 3)/7
Let g be 820/369 - 4/18. Let n(a) be the second derivative of 0*a**3 + 0 - 7/90*a**5 - 1/18*a**4 - 11*a - 1/27*a**6 - 1/189*a**7 + 0*a**g. Solve n(z) = 0.
-3, -1, 0
Suppose 75 = -8565*p + 8590*p. Determine t, given that -p*t - 22/3*t**3 + 8*t**2 + 0 - 1/3*t**5 + 8/3*t**4 = 0.
0, 1, 3
Let u = 496091 - 2480433/5. Suppose -96/5*h + 32/5 + u*h**2 = 0. What is h?
4/11, 4
Let w be 3*14*29/2030. Factor -w*r**2 + 33/5*r + 0.
-3*r*(r - 11)/5
Factor -4/11*p + 2/11*p**4 + 0 + 10/11*p**2 - 8/11*p**3.
2*p*(p - 2)*(p - 1)**2/11
Let b(l) be the second derivative of -l**5/190 - 1269*l**4/19 - 6441444*l**3/19 - 16348384872*l**2/19 - 2*l + 6980. Determine y, given that b(y) = 0.
-2538
Let r = 40734 - 285134/7. Factor 8/7 - 20/7*t**3 - 4*t + 36/7*t**2 + r*t**4.
4*(t - 2)*(t - 1)**3/7
Let u = -69 + 49. Let k be (30/u)/((-14)/(-16) - 1). Factor 10*s - 9*s**3 + 8*s**2 - 5*s**2 - k + 2*s + 12*s**2.
-3*(s - 2)*(s + 1)*(3*s - 2)
Let g = 14/603 + 1136/3015. Suppose 3*n - 7*n = 0. Suppose 0*q**2 - 2/5*q**4 + 0 + 0*q**3 + n*q - g*q**5 = 0. Calculate q.
-1, 0
Factor -30*v**5 + v**2 - 28*v**4 + 69*v**5 - 35*v**5 - 120*v**3 - v**2.
4*v**3*(v - 10)*(v + 3)
Let p(m) = -3*m**2 - 45*m + 39. Let k(y) = 3*y**2 + 42*y - 39. Let f(g) = -3*k(g) - 2*p(g). Find z such that f(z) = 0.
-13, 1
Suppose -505*d + 546*d = 0. Let x be (2/(-9))/(3/(-9)). Factor -3*p**2 + d - x*p + 11/3*p**3.
p*(p - 1)*(11*p + 2)/3
Let p = 341 - 324. Let 39*k**4 + k**2 - 57*k**4 + k - k**3 + 0*k + p*k**4 = 0. What is k?
-1, 0, 1
Suppose -74*r + 79*r = -q + 43, -2*r + 25 = 3*q. Find s such that 13/2*s**4 + 3/2*s**5 + 11/2*s**2 + 0 + s + 19/2*s**q = 0.
-2, -1, -1/3, 0
Let c(l) be the first derivative of l**5/10 + 229*l**4/4 + 52897*l**3/6 + 26106*l**2 + 25992*l + 752. Factor c(g).
(g + 1)**2*(g + 228)**2/2
Let h be (5/(-2))/(((-15)/6)/5). Suppose 8*g - 3*g + 12 = -v, -h*v = g - 12. Suppose -j**v - j**2 - 5*j - 3*j**2 - 2 + 0 = 0. Calculate j.
-2, -1
Let g(m) be the second derivative of 35*m - 1/10*m**6 + 3*m**3 + 1/4*m**4 - 21/20*m**5 + 0*m**2 + 1/14*m**7 + 0. Determine c, given that g(c) = 0.
-2, -1, 0, 1, 3
Let a(g) be the second derivative of 0*g**3 + 1/42*g**4 + 4 - 8*g - 4/7*g**2. Let a(f) = 0. What is f?
-2, 2
Let -880*a + 770*a**3 - 64 - 226*a**2 - 44*a**4 - 2687*a**2 - 21*a**4 + 16*a**4 = 0. Calculate a.
-1/7, 8
Let q be (3*(16/((-2016)/(-1505)) - 12))/(1/(-15)). Factor -1/4*n**3 + 3 + q*n**2 + 23/4*n.
-(n - 12)*(n + 1)**2/4
Suppose 18*v = 22*v - 72. Let r = 27 - v. Factor -8*k**3 + 36*k**4 + 21*k**5 + 5 + 1 - r*k + 4*k**3 - 8*k**3 - 42*k**2.
3*(k - 1)*(k + 1)**3*(7*k - 2)
Suppose 12*y + 345 = 17*y. Let j = y - 67. Factor 31*o - 68*o - 320 - 43*o - 5*o**j.
-5*(o + 8)**2
Let f be 36/(-360) - 5699/10. Let m = f - -3999/7. What is b in m*b**2 + 0*b + 12/7*b**3 + 0 + 3/7*b**4 = 0?
-3, -1, 0
Suppose 0 = i + 4*q - 298, 0*i - 1181 = -4*i - 5*q. Suppose -36*s**2 + 7745*s**3 - 27*s**2 - 7709*s**3 - 3*s**4 - i*s = 0. Calculate s.
-2, 0, 7
Let g be (-1808)/320 - 1 - -7. Let p(r) be the second derivative of -1/6*r**4 + r**2 - g*r**5 + 7/6*r**3 + 3*r - 14. Factor p(m).
-(m - 1)*(m + 1)*(7*m + 2)
Let c(w) be the third derivative of 0*w + 0 - 53/6*w**5 + 221*w**2 + 80/3*w**4 + 31/24*w**6 - 1/14*w**7 - 80/3*w**3. Suppose c(z) = 0. Calculate z.
1/3, 2, 4
Let g(r) = -91*r**3 - 34775*r**2 + 27872*r - 5572. Let f(k) = 122*k**3 + 46365*k**2 - 37162*k + 7429. Let b(q) = 8*f(q) + 11*g(q). Factor b(d).
-(d + 465)*(5*d - 2)**2
Let 53/4*q**4 - 1/4*q**5 + 0*q**2 - 75/2*q**3 + 0 + 0*q = 0. Calculate q.
0, 3, 50
Let c(u) be the third derivative of -u**5/45 - 550*u**4/9 - 605000*u**3/9 + 2*u**2 - 973. Factor c(b).
-4*(b + 550)**2/3
Let q(v) be the third derivative of 3 - 1/24*v**6 + 0*v - 1/42*v**7 + 12*v**2 + 50/3*v**3 + 205/24*v**4 + 7/4*v**5. Factor q(h).
-5*(h - 5)*(h + 1)**2*(h + 4)
Factor -6024*j - 149*j**2 + 462 + 1465 - 207 + 163*j**2.
2*(j - 430)*(7*j - 2)
Factor 23762/7*z**2 + 0 + 24198/7*z**3 + 438/7*z**4 + 2/7*z**5 + 0*z.
2*z**2*(z + 1)*(z + 109)**2/7
Let b(l) be the second derivative of l**10/7560 - 19*l**9/11340 + l**8/840 + 37*l**4/12 + l - 138. Let t(y) be the third derivative of b(y). Factor t(m).
4*m**3*(m - 6)*(3*m - 1)/3
Let r(j) = j**3 + 370*j**2 + 725*j - 4045. Let q be r(-368). Find h, given that 0 - 15/4*h**3 - q*h + 3/4*h**4 + 6*h**2 = 0.
0, 1, 2
Suppose 1/5*z**4 + 0 + 0*z - 19*z**2 + 94/5*z**3 = 0. What is z?
-95, 0, 1
Factor 9/5*h**2 - 3*h + 3/5*h**3 + 6/5 - 3/5*h**4.
-3*(h - 1)**3*(h + 2)/5
Factor -8*j**2 + 260*j - 7*j**2 - 3*j**2 + 33*j**2 - 10*j**2.
5*j*(j + 52)
Let u be (-100 + 0)*((-6)/12)/1. Factor -u*o**2 + 174*o**2 - 56*o**3 + 24 - 19*o + 143*o.
-4*(o - 3)*(2*o + 1)*(7*o + 2)
Let s(z) be the first derivative of -37/9*z**2 - 62 + 8*z + 2/27*z**3. Find v such that s(v) = 0.
1, 36
Solve 0 + 1/4*z**5 - 3/2*z**2 + 1/2*z**4 + 0*z - 5/4*z**3 = 0 for z.
-3, -1, 0, 2
Suppose -33*v = -12 - 13 - 41. Let t(w) be the second derivative of -v*w**3 + w**4 + 9/20*w**5 - 2/5*w**6 - 16*w + 0*w**2 + 0 + 1/14*w**7. Factor t(m).
3*m*(m - 2)**2*(m - 1)*(m + 1)
Let x = -562 + 583. Suppose -x*l + 53 = 11. Factor 6/7*c**l + 4/21 + 2/21*c**4 - 10/21*c**3 - 2/3*c.
2*(c - 2)*(c - 1)**3/21
Let o be (-1)/15*-15*(4 - -1). Find t such that 19*t + o*t**2 - t**2 + 77*t + 60*t = 0.
-39, 0
Let w(u) = -u**3 + 11*u**2 - 4*u + 32. Let t be w(10). Let l = 24 - 20. Solve 8*z**2 - 89 - 4*z - t + l*z**3 + 173 = 0 for z.
-2, -1, 1
Let o(i) be the third derivative of i**6/1080 - 67*i**5/540 + 55*i**4/9 - 350*i**3/3 - 1444*i**2. Let o(t) = 0. Calculate t.
7, 30
Let x be 6/(-228) + 15862/7828. Factor 10/11*q**x - 20/11 + 46/11*q.
2*(q + 5)*(5*q - 2)/11
Let a(y) = -8*y**2 - 6*y + 2. Let t be (1/2)/(1/10) + -6. Let j be a(t). Let 1/3*m + j + m**3 + 4/3*m**2 = 0. Calculate m.
-1, -1/3, 0
Determine v so that 2*v**3 + 942 + 74*v**2 + 475 + 720*v - 769 = 0.
-18, -1
Let i(s) = -s**2 - 4457*s - 17810. Let x be i(-4). Let -27/11*m**3 + 6/11 - 29/11*m + 45/11*m**x + 5/11*m**4 = 0. What is m?
2/5, 1, 3
Let t(y) be the third derivative of y**10/75600 - y**9/15120 - y**8/3360 + y**5/30 - y**4/24 + y**2 - 9. Let q(h) be the third derivative of t(h). Factor q(b).
2*b**2*(b - 3)*(b + 1)
Let s = 371 - 263. Suppose -14*f - 22*f = -s. Factor 16/5*x**2 + 2/5 - 2*x - 8/5*x**f.
-2*(x - 1)*(2*x - 1)**2/5
Let r be (-22542)/(-272) + -81 + (-211)/(-24). What is h in 34/3*h - 2/3*h**2 - r = 0?
1, 16
Let g(h) be the third derivative of h**5/30 - 143*h**4/12 + 94*h**3 - 1109*h**2 + 2. Determine w, given that g(w) = 0.
2, 141
Let z(o) = -9*o**3 + 33*o**2 - 27*o - 64. Let a(j) = -4*j**3 + 16*j**2 - 14*j - 32. Suppose i = 5 - 3. Let d(p) = i*z(p) - 5*a(p). Factor d(f).
2*(f - 4)**2*(f + 1)
Let i(u) be the third derivative of -40*u + 1/52*u**4 + 0*u**3 + 1/780*u**6 - 2*u**2 + 0 + 2/195*u**5. Factor i(s).
2*s*(s + 1)*(s + 3)/13
Let o(m) be the first derivative of m**3/18 + 5*m**2/12 - m - 3573. Factor o(l).
(l - 1)*(l + 6)/6
Let w(d) be the first derivative of -106 - 2*d**4 + 0*d**3 + 16*d**2 + 2/5*d**5 - 32*d. Find n such that w(n) = 0.
-2, 2
Let g(a) be the third derivative of 0*a**3 + 1/168*a**8 + 4/105*a**7 + 0 + 243*a**2 + 0*a - 1/3*a**4 + 1/20*a**6 - 2/15*a**5. Suppose g(z) = 0. What is z?
-2, -1, 0, 1
Factor 1/4*u**5 + 7*u**4 + 107*u + 165/4*u**3 + 42 + 199/2*u**2.
(u + 1)*(u + 2)**3*(u + 21)/4
Let s be (-4)/(-3)*9/2. Let b be -1 - (27/s)/(2/(-4)). Determine t so that -100*t**4 - 1 + 8*t - 8*t**3 - 1 - b*t**3 + 98*t**4 + 8*t**5 + 4*t**2 = 0.
-1, 1/4, 1
Factor 0*d - 955*d**3 - 5/3*d**4 + 0 + 2870/3*d**2.
-5*d**2*(d - 1)*(d + 574)/3
Let w(c) be the first derivative of 2/21*c**3 - 18/7*c - 8/7*c**2 - 124. Factor w(a).
2*(a - 9)*(a + 1)/7
Solve -53/3*u - 392/3 - 1/6*u**2 = 0 for u.
-98, -8
Suppose -c + 1 = 0, 4*k + 4*c - 73 = 23. Suppose k*w - 431 = -362. Suppose 10/7*d + 8/7*d**2 + 2/7*d**w + 4/7 = 0. Calculate d.
-2, -1
Factor -33282*y - 33466*y + 66912*y - 166 + 2*y**2.
2*(y - 1)*(y + 83)
Factor 320*g + 1/2*g**2 + 51200.
(g + 320)**2/2
Let h(m) be the first derivative of -3*m**5/20 + 3837*m**4/4 - 4907523*m**3/2 + 6276721917*m**2/2 - 8027927331843*m/4 + 6071. Factor h(c).
-3*(c - 1279)**4/4
Let y = 4617 + -4613. Let r(n) be the first d