q**4/24 + 60*q**3 - 281*q**2 - 3*q. Suppose z(n) = 0. What is n?
-1, 8, 9
Let b(v) = 3*v**3 - 10*v**2 - 9*v - 1. Let x = -31 - -26. Let h = 93 - 86. Let g(l) = 4*l**3 - 15*l**2 - 14*l - 2. Let w(i) = h*b(i) + x*g(i). Factor w(f).
(f + 1)**2*(f + 3)
Solve 128*n**3 - 384*n + 17657 - 336*n**2 + 17164 - 12*n**4 - 33029 = 0.
-2, 4, 14/3
Let m = 33 - 34. Let v(a) = -12*a**3 - a**2 - a - 1. Let c be v(m). Determine u, given that -6 + c - u - u**2 - 5 = 0.
-1, 0
Suppose 3*u = -18*x + 78, -2*u + 521 - 496 = 3*x. Determine q, given that -3/5*q**2 + 4/5*q**x - 2*q + 8/5 + 1/5*q**4 = 0.
-4, -2, 1
Let a(m) = -479*m**2 - 24*m + 52. Let k be a(2). Let l = k + 1912. Find n such that 1/2*n + 1/4*n**2 + l = 0.
-2, 0
Suppose 1681*n + 86/3*n**4 + 0 + 1/3*n**5 + 6970/3*n**2 + 2012/3*n**3 = 0. Calculate n.
-41, -3, -1, 0
Let h(b) be the first derivative of -b**5 + 855*b**4 - 196070*b**3 + 576290*b**2 + 1744215*b + 7314. Determine f so that h(f) = 0.
-1, 3, 341
Suppose m + 2*d = 320, -6*m + 4*d + 1670 = -m. Let i = m - 330. Factor -44/5*q**2 + 16/5*q + i + 2*q**3.
2*q*(q - 4)*(5*q - 2)/5
Suppose 1 = g - 1. Suppose 7*z = g*z + 25. Find k, given that -3*k**z - 7*k - 6*k**5 + 30*k**4 - 28*k**3 + 7*k + 8*k**2 = 0.
0, 2/3, 2
Let b = 651 + -329. Let l = -961/3 + b. Factor -l*h**4 - 5/3*h**2 + 0*h + 0 + 10/3*h**3.
-5*h**2*(h - 1)**2/3
Let j(d) be the first derivative of 38*d**2 + 74/3*d**3 - 28 + 7/2*d**4 + 16*d. Factor j(p).
2*(p + 1)*(p + 4)*(7*p + 2)
Factor -4*h + 2/3*h**2 + h**3 - 16/3 + 1/6*h**4.
(h - 2)*(h + 2)**2*(h + 4)/6
Let t(k) be the second derivative of 1/28*k**7 + 0*k**2 + 0 + 9/40*k**5 - 28*k + 0*k**3 - 3/20*k**6 - 1/8*k**4. Solve t(d) = 0 for d.
0, 1
Let n be 8435/(-20) + (-18)/(-24). Let r = -837/2 - n. Solve 3/2 + 7/6*z**2 - 1/6*z**3 - r*z = 0.
1, 3
Let j(a) be the third derivative of a**7/30 + 11*a**6/15 - 137*a**5/60 + 7*a**4/4 - 4*a**2 - 29*a. Solve j(t) = 0 for t.
-14, 0, 3/7, 1
Suppose -1/3*p**3 - 1/6*p**4 - 3*p + 0 + 7/2*p**2 = 0. What is p?
-6, 0, 1, 3
Let p(k) = 904*k + 2714. Let y be p(-3). Let o(i) be the third derivative of 0 + 4/3*i**3 + 6*i**y + 0*i - 1/15*i**5 - 1/6*i**4. Factor o(u).
-4*(u - 1)*(u + 2)
Let s(w) = w**2 - w + 3. Let j be 2/(-7) - (-36)/28 - -2. Let a be s(j). Factor -30 + a*r + 8*r - 35*r**2 + 68*r.
-5*(r - 2)*(7*r - 3)
Let w(j) = 37*j**2 + 1093*j - 7888. Let f be w(6). Factor 8/5 + 6/5*u - 2/5*u**f.
-2*(u - 4)*(u + 1)/5
Let k(u) be the third derivative of u**8/1848 - u**7/385 - 7*u**6/220 + 43*u**5/330 + 5*u**4/11 - 1707*u**2. Suppose k(l) = 0. Calculate l.
-4, -1, 0, 3, 5
Let b(d) be the third derivative of 0*d + 0*d**3 + 0 + 0*d**4 - 1/660*d**6 - 1/165*d**5 + 89*d**2. Suppose b(s) = 0. Calculate s.
-2, 0
Let z(v) be the second derivative of -v**6/120 - 13*v**5/40 - 11*v**4/4 - 22*v**3 - 2*v + 29. Let g(c) be the second derivative of z(c). Factor g(s).
-3*(s + 2)*(s + 11)
Let v = -1137741 - -1137745. Factor 0 - 6/17*b**3 + 0*b - 2/17*b**v - 4/17*b**2.
-2*b**2*(b + 1)*(b + 2)/17
Let s = 1261149 - 1261149. Factor -3/7*v**4 - 12/7*v + s*v**2 + 9/7*v**3 + 0.
-3*v*(v - 2)**2*(v + 1)/7
Let y(f) be the first derivative of 14*f**5/5 + 107*f**4/2 - 416*f**3/3 - 68*f**2 - 738. Factor y(l).
2*l*(l - 2)*(l + 17)*(7*l + 2)
Factor -32*u**3 - 959*u**2 + 18*u**3 + 12*u**3 + 613*u**2 + 348*u.
-2*u*(u - 1)*(u + 174)
Let u(m) = 70*m**3 - 195*m**2 - 8455*m + 55. Let h(r) = -5*r**3 + 14*r**2 + 604*r - 4. Let p(f) = 55*h(f) + 4*u(f). Factor p(t).
5*t*(t - 12)*(t + 10)
Suppose -36 = 2*d - 88. Let l = 48 - d. Determine n, given that -8*n**2 - 2*n**2 - l*n + 9*n**2 - 121 = 0.
-11
Let l(u) = -u - 6. Let o be l(-5). Let t(m) = -m**2 + 1. Let i = 122 - 116. Let b(n) = -3*n**2 + 12*n + 6. Let g(r) = i*t(r) + o*b(r). Factor g(s).
-3*s*(s + 4)
Let r(h) be the first derivative of 2*h**6 + 32*h**5/5 - 11*h**4 - 112*h**3/3 - 24*h**2 - 2225. Suppose r(o) = 0. What is o?
-3, -1, -2/3, 0, 2
Let q = 21846 + -21846. Let j(o) be the second derivative of -5*o + 0 + 5/24*o**4 - 25/12*o**3 + q*o**2. Factor j(k).
5*k*(k - 5)/2
Let g be (12262/(-27))/((-68)/102). Let w = g + -681. Suppose 0*h + 0 - w*h**4 + 0*h**2 - 2/3*h**3 = 0. Calculate h.
-3, 0
Let i be ((-4)/(-10))/(1/5). Determine c, given that -21*c - 427 - 3*c**i + 229 + 222 = 0.
-8, 1
Let y be (5/5*3)/1. Suppose 0 = -3*b + 9, 7*b - 2 = 5*r + y*b. Let -30*x**r - 4*x + 34*x**2 - 2*x**4 - 2*x**3 + 4*x = 0. What is x?
-2, 0, 1
Let u be -8 + 0 + 4/1 + 20. Let t(y) be the second derivative of -u*y + 0*y**2 + 0 + 1/7*y**4 - 4/21*y**3 - 1/35*y**5. Suppose t(x) = 0. What is x?
0, 1, 2
Let t(n) be the third derivative of 0*n**3 - 4/3*n**4 + 37*n**2 + 2 + 0*n - 1/30*n**6 - 3/5*n**5. What is a in t(a) = 0?
-8, -1, 0
Let s be -6 - (218/(-20) + 9/(-90)). Let x be 0 + s/(-45) + (-155)/(-585). Factor 0 + 0*g - 2/13*g**4 - x*g**3 + 4/13*g**2.
-2*g**2*(g - 1)*(g + 2)/13
Let n be (-28)/(-182) - 3/(195/(-835)). Let j(d) be the second derivative of -8/15*d**5 + 31/9*d**3 - 28/9*d**4 - 4/3*d**2 + 0 - n*d. Find l such that j(l) = 0.
-4, 1/4
Let l be -4 + (-15 - (-7610)/400). Let z(x) be the third derivative of 7/8*x**4 - l*x**5 - 49/4*x**3 - 16*x**2 + 0*x + 0. Determine r, given that z(r) = 0.
7
Let z = -52867 - -52867. Find q such that -16/21*q**2 + 6/7*q**3 - 2/21*q**4 + z*q + 0 = 0.
0, 1, 8
Let o = -4785838/9 - -531765. Let -2/3 - 35/9*r - o*r**2 + 5/3*r**3 + r**4 = 0. Calculate r.
-3, -1/3, 2
Factor -199*d**3 - 123*d + 21*d**3 + 96*d**2 + 182*d**3 - 25*d - 1200.
4*(d - 4)*(d + 3)*(d + 25)
Let k = 2574582/5 + -514914. Factor -3/5*j**3 + 0 - 9/5*j**2 + k*j.
-3*j*(j - 1)*(j + 4)/5
Let w(i) be the second derivative of -i**6/2520 + i**5/140 + 2*i**4/21 - 73*i**3/2 + 234*i. Let l(j) be the second derivative of w(j). Solve l(g) = 0.
-2, 8
Let n(k) be the third derivative of -79*k + k**2 + 1/15*k**5 + 29/6*k**4 - 20*k**3 + 0. Factor n(i).
4*(i - 1)*(i + 30)
Let h be 7 - 11/(66/1128). Let f = -177 - h. Find o, given that -6/7*o**3 + 3/7*o - 3/7 + 6/7*o**2 + 3/7*o**5 - 3/7*o**f = 0.
-1, 1
Let f(s) be the second derivative of 0 - 58/3*s**3 - 7/10*s**5 + 89/6*s**4 - 24*s**2 - 80*s. Determine p so that f(p) = 0.
-2/7, 1, 12
Let z be -532*(-46)/(-1127) - -22. Find k, given that 4/21 + z*k**3 - 2/21*k**2 - 2/7*k - 2/21*k**4 = 0.
-1, 1, 2
Suppose 0 - 2/9*u**2 + 50*u = 0. Calculate u.
0, 225
Let w be (-2)/((3 + (-5)/2)/(6*(-18)/108)). Solve 23/6*i + 11*i**3 + 34/3*i**2 + 10/3*i**w + 0 - 1/6*i**5 = 0.
-1, 0, 23
Solve -21/5*i**2 - 48/5*i - 3/5*i**3 - 36/5 = 0.
-3, -2
Let n(k) be the second derivative of k**5/20 - 10*k**4/3 + 349*k**3/6 + 195*k**2 - 3052*k. Determine g, given that n(g) = 0.
-1, 15, 26
Determine g, given that 0 - 1/4*g**3 - 61*g**2 + 0*g = 0.
-244, 0
Let x(h) be the first derivative of -2/63*h**3 - 8/21*h**2 + 123 + 40/21*h. Factor x(s).
-2*(s - 2)*(s + 10)/21
Let v(h) be the second derivative of h**4/30 - 1142*h**3/15 + 326041*h**2/5 + 2*h + 266. Find u such that v(u) = 0.
571
Let j(g) be the third derivative of -2 + 1/12*g**4 + 23*g**2 - 1/3*g**3 - 1/120*g**5 + 0*g. Factor j(x).
-(x - 2)**2/2
Let c(r) be the second derivative of -r**8/4704 + 2*r**7/2205 + r**6/630 + 19*r**4/4 - 2*r + 2. Let b(s) be the third derivative of c(s). Factor b(i).
-2*i*(i - 2)*(5*i + 2)/7
Let v(f) be the second derivative of -1/36*f**4 - 6*f**2 + 37/18*f**3 + 0 - 12*f. Factor v(d).
-(d - 36)*(d - 1)/3
Let c(v) be the third derivative of -v**5/80 + 33*v**4/16 - 70*v**3 + 25*v**2 + v + 4. Factor c(d).
-3*(d - 56)*(d - 10)/4
Let x(d) = -3*d**3 - 211*d**2 - 5*d - 5. Let n(p) = -2*p**3 - 106*p**2 - 3*p - 3. Let r(b) = -5*n(b) + 3*x(b). Factor r(k).
k**2*(k - 103)
Let b = -39112/193 - -56533186/278499. Let w = -3/481 + b. Factor 4/3 - a - w*a**2.
-(a - 1)*(a + 4)/3
Let d = -4917677/8 + 614710. Factor 15/4*x - 6 + 21/8*x**2 - d*x**3.
-3*(x - 8)*(x - 1)*(x + 2)/8
Let a = 114187/28 + -4078. Let d(t) be the first derivative of -1/42*t**6 - 5/21*t**3 + 30 + 1/7*t**5 - a*t**4 + 2/7*t**2 + 0*t. Determine g so that d(g) = 0.
-1, 0, 1, 4
Let k be (-37)/(3256/198)*304/(-1083). Factor 14/19*o + k + 2/19*o**2.
2*(o + 1)*(o + 6)/19
Let y(n) be the first derivative of -n**6/6 + 11*n**4 + 48*n**3 + 64*n**2 - 1873. Factor y(a).
-a*(a - 8)*(a + 2)**2*(a + 4)
Let v(n) be the second derivative of n**4/36 - 41*n**3/9 - 83*n**2/6 - 586*n. Factor v(t).
(t - 83)*(t + 1)/3
Let 