 1/3*m**3 + 0*m - m**n. Let z(k) = 0. Calculate k.
0, 2
Factor 934*c + 1857 + 926*c + 524*c**2 - 521*c**2.
3*(c + 1)*(c + 619)
Let -8022/5*z**3 + 147/5*z**4 + 7044*z - 5124/5 - 58221/5*z**2 = 0. What is z?
-7, 2/7, 61
Let c = -294/181 - -276564/169597. Let k = c + 1760/17803. Factor 2/19*m - 4/19 + k*m**2.
2*(m - 1)*(m + 2)/19
Solve 111/4 + 28*z + 1/4*z**2 = 0 for z.
-111, -1
Let a(k) be the first derivative of 45/2*k**2 - k**3 - 55 - 78*k. Factor a(d).
-3*(d - 13)*(d - 2)
Let t = -3250 - -3253. Let s(n) be the second derivative of 0*n**t + 0*n**2 + 1/5*n**4 - 3*n + 1/50*n**6 + 3/25*n**5 + 0. Factor s(d).
3*d**2*(d + 2)**2/5
Let r(x) be the second derivative of -x**5/5 - 8*x**4/3 - 59*x - 3. Let r(z) = 0. Calculate z.
-8, 0
Let y be (-1)/6*-14 - (-16)/24. Let -2*r**3 + 5*r - 2*r**y + 5*r**3 - 6*r**3 = 0. What is r?
-1, 0, 1
Let n(d) be the third derivative of -16*d**5/15 + d**4/4 - d**2 + 14*d. Factor n(x).
-2*x*(32*x - 3)
Factor 283/3 - 472*l - 4/3*l**3 + 379*l**2.
-(l - 283)*(l - 1)*(4*l - 1)/3
Let o be (3/14)/(1260/147) - (-57)/152. Factor o*z**4 - 6/5*z**3 + 0*z + 4/5*z**2 + 0.
2*z**2*(z - 2)*(z - 1)/5
Let r(z) be the third derivative of -z**6/900 + 16*z**5/225 + 23*z**4/36 - 70*z**3/9 - 8189*z**2. Factor r(j).
-2*(j - 35)*(j - 2)*(j + 5)/15
Let w(u) be the third derivative of u**6/160 - 9*u**5/80 + u**4/4 - 2289*u**2 - 2. Factor w(c).
3*c*(c - 8)*(c - 1)/4
Let v(g) = g**3 - 25*g**2 - 134*g - 478. Let k be v(30). Find n, given that -3/4*n**3 + 15/2*n**k + 3/4*n - 15/2 = 0.
-1, 1, 10
Let z(v) = 2*v + 27. Let b be z(-10). Suppose 5*k - 2*m = 8 + b, -4*m + 30 = 2*k. Let 12*g**3 - 5*g**4 - 8*g**3 - 9*g**3 + k*g**5 + 5*g**2 = 0. What is g?
-1, 0, 1
Let u = -24 + 29. Suppose -3*g = 4 - 10, 0 = -5*m + u*g + 5. Let 87 + 238*z**2 - 320*z**3 + 301*z + m + 134*z + 162*z**2 = 0. Calculate z.
-3/8, 2
Let k be ((-9)/((-9)/2))/((-47323)/(-5846) + -8). Determine x so that k*x - 2/15*x**2 - 12482/15 = 0.
79
Let z(x) be the first derivative of x**4/26 - 22*x**3/39 - 6*x**2/13 + 432*x/13 - 2815. Let z(c) = 0. Calculate c.
-4, 6, 9
Suppose 2/5*q**4 + 1728/5 + 1512/5*q + 52/5*q**3 + 90*q**2 = 0. Calculate q.
-12, -8, -3
Factor -300/7 + 4/7*s**3 + 188/7*s + 108/7*s**2.
4*(s - 1)*(s + 3)*(s + 25)/7
Let o = -5 - -8. Let u be (38/4 + 1)/(-10 + 4) + 90/24. Suppose 0 + o*j**u + 3*j**4 - 3/4*j - 9/2*j**3 - 3/4*j**5 = 0. Calculate j.
0, 1
Let g(k) = 2*k**3 - 11*k**2 + 15*k. Let m be g(6). What is v in -73*v**3 - 3 - 5 + 13*v + 55*v - 8*v**3 - m*v**2 = 0?
-2, 2/9
Let t(z) = z**3 + 8*z**2 - z + 4. Let s be t(-8). Factor 30 + 27*y - 187*y**2 + 370*y**2 + s - 180*y**2.
3*(y + 2)*(y + 7)
Let f(b) be the second derivative of b**7/42 + 37*b**6/15 + 86*b**5 + 2444*b**4/3 - 31096*b**3/3 + 35152*b**2 - 729*b. Find j such that f(j) = 0.
-26, 2
Let s be (27 + 81)*2*(-2)/(-10). Let f = s + -40. Solve f + 0*h - 4/5*h**2 = 0 for h.
-2, 2
Let x(c) be the first derivative of -c**6/1800 - 7*c**5/150 - 9*c**4/40 + 38*c**3/3 + 123. Let t(l) be the third derivative of x(l). Factor t(g).
-(g + 1)*(g + 27)/5
Let f be (51/918)/((-1)/(-40)). Let -8/9*r - 4*r**3 - 4/9*r**5 - f*r**4 - 28/9*r**2 + 0 = 0. Calculate r.
-2, -1, 0
Find b, given that 400*b + 34*b**3 + 53*b - 28*b**4 + 190*b**2 + 30*b**4 - 103*b = 0.
-7, -5, 0
Let c = 11911 - 11909. Let l(r) be the second derivative of 5/7*r**3 + 5*r - 6/7*r**c - 3/14*r**4 + 0. Factor l(b).
-6*(b - 1)*(3*b - 2)/7
Let u(i) be the second derivative of 41/12*i**3 + 3/40*i**5 + 17/12*i**4 + 0 - 29*i + 5/2*i**2. Factor u(g).
(g + 1)*(g + 10)*(3*g + 1)/2
Factor -1212/5*h + 183618/5 + 2/5*h**2.
2*(h - 303)**2/5
Let x = 669569 + -669566. Factor -7*m + 1/3*m**3 - 245/3 + x*m**2.
(m - 5)*(m + 7)**2/3
Let f(k) be the first derivative of -48/7*k**2 - 1/14*k**4 - 10/7*k**3 + 45 + 128/7*k. Find w, given that f(w) = 0.
-8, 1
Find x such that 10/17*x**5 - 1008/17*x**3 + 1184/17*x - 400/17*x**2 + 480/17 - 266/17*x**4 = 0.
-2, -2/5, 1, 30
Let h = 283 - 280. Suppose -3*z = z + h*z. Factor 1/2*c**2 + z - 1/6*c**3 + 1/6*c - 1/2*c**4.
-c*(c - 1)*(c + 1)*(3*c + 1)/6
Find w such that -1719 + 64*w + 1499 - 22*w + 66*w + w**2 = 0.
-110, 2
Let m be 0/((-33)/(1122/68)). Determine b, given that m - 2/11*b**4 + 2/11*b + 2/11*b**2 - 2/11*b**3 = 0.
-1, 0, 1
Let u = -17241/4 - -4311. Let d(z) be the first derivative of 0*z**2 + 3/5*z**5 + 18 + 0*z - 2*z**3 + u*z**4. Determine o so that d(o) = 0.
-2, 0, 1
Let y(m) be the first derivative of m**4/16 - 47*m**3/6 + 615*m**2/8 - 261*m/2 - 12700. Let y(j) = 0. Calculate j.
1, 6, 87
Let q(s) be the second derivative of 12*s + 1/126*s**7 + 0*s**4 - 1/30*s**5 + 0 + 1/18*s**3 + 0*s**6 + 0*s**2. Factor q(x).
x*(x - 1)**2*(x + 1)**2/3
Let p = 175 - 160. What is q in -274*q**3 + p*q**2 + 279*q**3 - 120*q**2 = 0?
0, 21
Let c = 3851/166 + 1/830. Let j = 403/15 - c. Let k**5 + 2/3*k + 0 + 3*k**2 + j*k**4 + 5*k**3 = 0. Calculate k.
-1, -2/3, 0
Suppose -3*h + 159 = t, 5*t + 72 = 3*h - 69. Let l = 52 - h. Suppose l + 4/9*w + 2/9*w**4 + 8/9*w**3 + 10/9*w**2 = 0. Calculate w.
-2, -1, 0
Let n = 772 - -148. Suppose 917 - n = -y. Find b, given that b**2 + 25/6 + 1/6*b**4 + 20/3*b - 4/3*b**y = 0.
-1, 5
Let y(m) be the third derivative of -m**5/15 - 31*m**4/2 - 184*m**3/3 - 886*m**2 - 1. Determine f, given that y(f) = 0.
-92, -1
Factor 551*q**5 + 25*q**4 - 47*q**4 - 4*q**3 - 550*q**5 + 88*q**2.
q**2*(q - 22)*(q - 2)*(q + 2)
Let j(p) = -3698*p + 465952. Let y be j(126). Find v, given that 25/2 - 5/4*v**5 - 35/4*v + 10*v**3 - 35/2*v**2 + 5*v**y = 0.
-2, -1, 1, 5
Let x be 2/6 - 24/(-9). Let o = 53 - 50. Determine w, given that -4 + 10*w**3 - 3*w**o + 6*w - w**3 - 8*w**x = 0.
-2, 1
Let t be (-2)/(-5) - -4*1788/(-80). Let m = t + 91. Let 7*g - 6*g + m*g**2 - 2 - 22 - 9*g = 0. What is g?
-2, 6
Let k(v) be the second derivative of -v**7/1680 + v**6/240 + v**5/240 - v**4/16 - 73*v**3/6 + 31*v. Let i(f) be the second derivative of k(f). Factor i(n).
-(n - 3)*(n - 1)*(n + 1)/2
Let y(x) = -x**4 - x**2 + x - 1. Let j(i) be the first derivative of -3/2*i**2 + 8 - 5*i**4 + 7/5*i**5 + 19/3*i**3 + 3*i. Let c(m) = j(m) + 3*y(m). Factor c(u).
4*u**2*(u - 4)*(u - 1)
Suppose -1168/7*k - 85264/7 - 4/7*k**2 = 0. What is k?
-146
Let m be 2/6 - 53725/75. Let b = m - -718. Let -9/4 - 3/2*i + 3/4*i**b = 0. What is i?
-1, 3
Suppose -5*l - 5*h = -7*l - 50, 4*h = 4*l + 40. Factor 1/6*w**3 + w - 5/6*w**2 + l.
w*(w - 3)*(w - 2)/6
Let z(w) = -210*w**2 - 141*w - 138. Let f(y) = -93*y**2 - 70*y - 69. Let t(s) = -9*f(s) + 4*z(s). Factor t(h).
-3*(h - 23)*(h + 1)
Let a(t) be the first derivative of -2*t**3/9 + 1390*t**2/3 - 966050*t/3 + 2406. Factor a(s).
-2*(s - 695)**2/3
Let q(t) be the first derivative of -80*t**6 + 4176*t**5/5 + 2123*t**4/6 - 3230*t**3/9 + 32*t**2/3 + 24*t + 437. Suppose q(f) = 0. What is f?
-2/3, -2/15, 1/4, 9
Let b(t) be the second derivative of 2*t**7/21 + 22*t**6/5 + 167*t**5/5 + 45*t**4 - 168*t - 2. Find w, given that b(w) = 0.
-27, -5, -1, 0
Let l(s) be the third derivative of -s**8/1008 + 5*s**6/72 - s**5/3 + s**4/2 + 14*s**2 + 6. Determine v, given that l(v) = 0.
-6, 0, 1, 2, 3
Let m(o) be the second derivative of -5*o**4/12 + 35*o**3/3 - 60*o**2 + 265*o + 2. Find z, given that m(z) = 0.
2, 12
Let p(k) be the third derivative of 0*k**4 + 1/120*k**5 - 2*k - 2*k**2 + 0*k**3 + 1/1344*k**8 + 1/210*k**7 + 1/96*k**6 + 0. Suppose p(v) = 0. What is v?
-2, -1, 0
Factor 48*b + 97/2*b**2 - 2/3 + 73/6*b**3.
(b + 2)**2*(73*b - 1)/6
Let u be -118 - -141 - (24 + -4). Let -1/9*l**u - 1/3*l**2 + 1/9*l + 1/3 = 0. Calculate l.
-3, -1, 1
Let w(v) = 9*v - 110. Let n be w(9). Let t be (-2 + n/(-12))*(23 + -19). Factor t*b**2 - 1/3*b**4 - b**3 + 0 - 2/3*b + 1/3*b**5.
b*(b - 1)**3*(b + 2)/3
Let m = 240 - 232. Factor 0*r + 3*r**3 - r - m*r - 476 + 470.
3*(r - 2)*(r + 1)**2
Let k be (-2)/(-6 - -8) + 1. Let o be (-1 - k/(-2))/(55/(-10)). Find f, given that 0*f**2 + o*f**5 + 8/11*f**4 + 0*f + 8/11*f**3 + 0 = 0.
-2, 0
Factor -920/3*d**2 - 5/6*d**5 - 15*d**4 - 240 - 440*d - 100*d**3.
-5*(d + 2)**3*(d + 6)**2/6
Let k(z) be the second derivative of z**5/50 - 157*z**3/15 - 156*z**2/5 - 3*z. Determine n, given that k(n) = 0.
-12, -1, 13
Let g(t) = -t**2 + 38*t - 48. Let m be g(26). Suppose -9*r = 3*r - m. Factor 376*i - 3*i**4 - 401*i - 5 - 50*i**2 - 50*i**3 - r*i**4 - 5*i**5.
-5*(i + 1)**5
Let