 150)/3
Let i be 3*(-3)/15 + (-39)/(-15). Suppose -m - 384 = -t + i*m, 5*t + 4*m = 1977. Factor -35*w**4 + 10*w**3 + 35*w**2 - t + 393 - 10*w.
-5*w*(w - 1)*(w + 1)*(7*w - 2)
Let b(m) = 11*m - 8. Let d be b(1). Factor -36*n**4 + 32*n + 140*n**2 - 36*n**d - 8*n + 228*n**3.
-4*n*(n - 6)*(3*n + 1)**2
Let i(q) be the third derivative of q**6/480 - 31*q**5/240 - q**4/96 + 31*q**3/24 + 4*q**2 + 113. Solve i(o) = 0 for o.
-1, 1, 31
Factor -2/5*q**3 + 16/5*q - 24/5 + 2/5*q**2.
-2*(q - 2)**2*(q + 3)/5
Solve 0*u + 1400/3*u**2 - 232*u**3 - 2/3*u**4 + 0 = 0.
-350, 0, 2
Let t(g) be the third derivative of g**5/30 - 25*g**4/12 - 62*g**3 - 5*g**2 + 218. Factor t(a).
2*(a - 31)*(a + 6)
Suppose 13767 - 13735 = -2*t + 3*k, 98 = t + 8*k. Suppose -84/11*l**t + 0 - 2/11*l**3 - 82/11*l = 0. Calculate l.
-41, -1, 0
Factor -v**3 - v**2 + 34*v**2 + 609*v - 87*v**2 + 2*v**3 + 3364.
(v - 29)**2*(v + 4)
Factor 3050853 - 570*n**2 + 11862*n + 8674734 + 573*n**2.
3*(n + 1977)**2
Let j(g) be the second derivative of 3/80*g**5 + 2*g + 1/24*g**4 + 13 + 0*g**2 + 0*g**3 + 1/120*g**6. Solve j(l) = 0.
-2, -1, 0
Let n = -24 - -18. Let k(z) = -34*z**2 + 64*z - 128. Let v(b) = -8*b**2 + 16*b - 32. Let a(q) = n*k(q) + 26*v(q). Solve a(c) = 0.
4
Let t(b) = -2 + 428*b - 430*b + 4. Let v(q) = q**2 + 12*q - 13. Let f(i) = 15*t(i) + 5*v(i). Find j such that f(j) = 0.
-7, 1
Let b(v) be the first derivative of -v**6/27 + 232*v**5/45 - 2833*v**4/18 - 66236*v**3/27 + 74276*v**2/9 - 76880*v/9 - 2126. Let b(g) = 0. What is g?
-10, 1, 62
Let s(l) = 3*l**2 + 153*l + 8. Let n(v) = 3*v**2 + 153*v + 6. Let y(u) = 4*n(u) - 3*s(u). Find c, given that y(c) = 0.
-51, 0
Let r(x) = 2*x**4 - 3. Let u(s) = -6*s**4 + 48*s**3 + 386*s**2 + 1140*s + 812. Let c(y) = 4*r(y) + u(y). Solve c(d) = 0.
-10, -8, -5, -1
Let y(h) = h**3 + 4*h**2 - 3*h - 4. Suppose 0 = -3*o - 3, -2*j = 3*j - 4*o + 6. Let t be y(j). Factor -a**2 - t*a - 13*a**2 + 0*a**2 - a**2.
-5*a*(3*a + 2)
Let i be (-15)/(-120)*0*1. Let h(a) be the third derivative of -16/3*a**3 - 2/3*a**4 - 1/30*a**5 + 14*a**2 + i*a + 0. Factor h(g).
-2*(g + 4)**2
Let u(v) be the third derivative of -2/7*v**4 + 0*v - 2/105*v**6 - 1/735*v**7 - 3/7*v**3 + 0 - 11/105*v**5 + 326*v**2. Factor u(p).
-2*(p + 1)**2*(p + 3)**2/7
Let t(q) be the second derivative of -q**6/120 - 13*q**5/40 - 263*q**3/6 - 117*q - 2. Let n(i) be the second derivative of t(i). Factor n(s).
-3*s*(s + 13)
Let s be (6 - 15) + 8 + (-244)/(-240). Let z(d) be the second derivative of -1/180*d**6 + s*d**5 + 0*d**2 - d + 0*d**4 + 0*d**3 + 0. What is j in z(j) = 0?
0, 2
Let f be (-1)/(-2)*58752/(-63). Let r = f + 468. Determine j so that 4/7*j**5 + r*j - 16/7*j**3 - 8/7*j**2 + 8/7 + 0*j**4 = 0.
-1, 1, 2
Factor 2870408/7 + 2/7*h**2 - 4792/7*h.
2*(h - 1198)**2/7
Factor -100728 + 452*o - 2*o**2 - 2*o**2 + 107280.
-4*(o - 126)*(o + 13)
Let z = 738089/80 - 9226. Let f(t) be the second derivative of 0*t**3 + 0 + 0*t**2 + 1/20*t**6 - 33*t + 1/168*t**7 + 1/12*t**4 + z*t**5. Factor f(h).
h**2*(h + 1)**2*(h + 4)/4
Suppose 161*s = 160*s + 23. Factor 27*f + 4*f**2 - 74*f + s*f.
4*f*(f - 6)
Let y(w) be the third derivative of 0*w + 122*w**2 + 1/270*w**5 - 1 - 1/9*w**4 + 20/27*w**3. Solve y(g) = 0.
2, 10
Determine n, given that 110*n**3 - 260*n - 98*n**2 - 9/4*n**5 - 100 + 51/4*n**4 = 0.
-5, -2/3, 2, 10
Let m = 2339/5 - 676. Let t = m - -209. Factor 0*r + t*r**4 + 0*r**2 + 1/5*r**5 + 0 + 4/5*r**3.
r**3*(r + 2)**2/5
Let z be (-21)/14*((-12544)/3)/8. Let r = 787 - z. Determine c, given that 0*c + 3/7 + 6/7*c**r - 9/7*c**2 = 0.
-1/2, 1
Let i(n) = -501*n + 10. Let t be i(2). Let p = 992 + t. Let -8/7 + p*d + 2/7*d**2 = 0. Calculate d.
-2, 2
Let q(l) be the first derivative of -1556*l**3/3 + 774*l**2 + 8*l - 6358. Factor q(t).
-4*(t - 1)*(389*t + 2)
Factor -1/6*x**4 - 49/3*x**2 - 50/3*x**3 + 33/2 + 50/3*x.
-(x - 1)*(x + 1)**2*(x + 99)/6
Factor 182/9 + 1/9*q - 1/9*q**2.
-(q - 14)*(q + 13)/9
Determine l, given that -152/5*l - 2/5*l**4 + 672/5 - 32*l**2 + 38/5*l**3 = 0.
-2, 2, 7, 12
Let k(m) = m**2 - 51*m + 298. Let r be k(29). Let g be -9 + r/(-30) + 3. Let 8/3*c**2 - 12 - 4/3*c**4 + 16*c - g*c**3 = 0. What is c?
-3, 1
Let j(y) be the first derivative of -y**3/12 - 17*y**2 - 67*y + 705. Factor j(l).
-(l + 2)*(l + 134)/4
Let n(k) be the second derivative of 128*k**2 + 7/5*k**5 + k + 160/3*k**3 + 22 + 12*k**4 + 1/15*k**6. Factor n(z).
2*(z + 2)*(z + 4)**3
Let p(y) be the first derivative of y**5/5 - 31*y**4/2 - y**3/3 + 31*y**2 + 7025. Suppose p(c) = 0. Calculate c.
-1, 0, 1, 62
Let s(n) be the first derivative of 11*n**6 + 126*n**5/25 - 1149*n**4/10 + 366*n**3/5 + 336*n**2/5 + 72*n/5 - 595. Solve s(b) = 0 for b.
-3, -1/5, -2/11, 1, 2
Let j(u) be the third derivative of -49*u**6/30 - 126*u**5 - 178*u**4 - 304*u**3/3 - 11*u**2 - 3. Factor j(r).
-4*(r + 38)*(7*r + 2)**2
Let i be 13/2 + 3/(-2). Factor 14*g**3 - 3 + 3 + 607*g**5 - 9*g**4 - 606*g**i.
g**3*(g - 7)*(g - 2)
Find h such that -22/3*h - 2/3*h**3 + 10/3 + 14/3*h**2 = 0.
1, 5
Determine n, given that -25*n + 5/4*n**4 + 0*n**3 - 105/4*n**2 + 0 = 0.
-4, -1, 0, 5
Let b(m) be the third derivative of m**6/40 + 3837*m**5/20 + 4907523*m**4/8 + 2092240639*m**3/2 - 383*m**2. Suppose b(y) = 0. Calculate y.
-1279
Let k(y) be the first derivative of y**5/5 - y**4/8 - 28*y**3/3 + 31*y**2 - 24*y + 1203. Let k(x) = 0. What is x?
-6, 1/2, 2, 4
Let i(w) be the second derivative of -7*w**5/30 + 5*w**4/2 - 8*w**3/3 - 45*w**2/2 + 90*w. Let v(d) be the first derivative of i(d). Factor v(g).
-2*(g - 4)*(7*g - 2)
Let l = -88 - -100. Suppose l*c - 29 = -5. Factor 0 - 5*z**c - 5*z + 4*z**2 + 3 + 2*z**2 + z**3.
(z - 1)**2*(z + 3)
Let y(m) = 3*m**3 - 4*m + 4. Let u be y(1). Let z be (u + -4)*(0 - 0). Find r such that 1/3*r**4 - 1/3*r**3 - 2/3*r**2 + 0*r + z = 0.
-1, 0, 2
Factor 2539*w + 136*w**2 - 2*w**3 - 1574*w - 1657*w + 816 + 10*w**2.
-2*(w - 68)*(w - 3)*(w - 2)
Let u be (10/(-120) - (-1)/12)*(-5 + (-57)/(-12)). Factor u*h - 2/9*h**4 + 4/9*h**2 + 0 - 2/9*h**3.
-2*h**2*(h - 1)*(h + 2)/9
Let s be 58436/(-98) + (-4)/(-14). Let u = 599 + s. Factor 28/5*p**4 + 0 + 0*p - 4/5*p**5 - 64/5*p**2 - 32/5*p**u.
-4*p**2*(p - 4)**2*(p + 1)/5
Let k = 2770 - 5537/2. Let h be (-3)/7 - (-432)/126. Factor -k - 15/2*o**2 - 6*o - h*o**3.
-3*(o + 1)**2*(2*o + 1)/2
Let d be (-1254)/95*(-60)/(-45) - -20. Factor 2/5*l**3 - 2/5*l + d*l**2 - 12/5.
2*(l - 1)*(l + 1)*(l + 6)/5
Suppose -26*n = -22*n - 12. Find r such that 48*r - 294*r**n + 235*r**4 + 1662*r**3 + 480*r**2 + 231*r**5 + 797*r**4 = 0.
-2, -2/7, -2/11, 0
Let x(i) = -i**3 + i**2 + 5*i - 37. Let k(u) = 3*u + 4. Let l be k(-5). Let m be x(l). Factor -1342 + 21*j + m + 2*j**2 - 9*j.
2*(j + 3)**2
Let i(h) be the first derivative of -399*h**5/5 - 795*h**4/2 - 657*h**3 - 384*h**2 + 12*h + 2773. Find o, given that i(o) = 0.
-2, -1, 2/133
Let y(a) be the third derivative of -a**8/3024 + 11*a**7/1890 + a**6/90 + 1102*a**2. Determine b, given that y(b) = 0.
-1, 0, 12
Let p be (2/6)/((-17)/(-306)). Suppose -s + 0 = -1. Let b(o) = o**2. Let x(c) = -2*c**2 - 32*c + 64. Let w(v) = p*b(v) + s*x(v). Let w(m) = 0. Calculate m.
4
Suppose -9*h + 90 = 9*h. Factor -22*s - s**h - 4*s**4 + s**3 + 22*s + 4*s**4.
-s**3*(s - 1)*(s + 1)
Let g(j) = -j**3 + j + 1. Let a be (-16)/12*7/((-84)/9). Let b(l) = -l**3 + 8*l**2 + l - 6. Let y(w) = a*b(w) - 2*g(w). Factor y(q).
(q - 1)*(q + 1)*(q + 8)
Factor -77/3*s**2 - 40/3 - 9*s**3 + 94*s.
-(s - 2)*(s + 5)*(27*s - 4)/3
Factor 0 + 16/7*v + 2/7*v**2.
2*v*(v + 8)/7
Let f(p) = -5*p**3 + 760*p + 1920. Let t(v) = 2*v**3 - 252*v - 640. Let z(g) = 3*f(g) + 10*t(g). Find s such that z(s) = 0.
-4, 8
Suppose -2*k**4 - k**3 - 3172*k**2 + 2*k**5 - k**3 + 3174*k**2 = 0. Calculate k.
-1, 0, 1
Let s = 415/336 - 41/48. Let g(y) be the first derivative of 3/14*y**4 + 0*y - 4/7*y**2 - s*y**3 + 27. Solve g(z) = 0 for z.
-2/3, 0, 2
Let t(a) = 17*a**3 + 1627*a**2 + 1617*a - 7. Let h(k) = 9*k**3 + 814*k**2 + 809*k - 4. Let g(w) = -7*h(w) + 4*t(w). Factor g(c).
5*c*(c + 1)*(c + 161)
Let o(i) be the first derivative of 56 - 3/7*i**2 + 2/21*i**3 - 8/7*i. Suppose o(n) = 0. Calculate n.
-1, 4
Suppose 5*h = -6*s + 21, 2039*h = 2036*h + 4*s + 5. Factor 9/2*p**2 - 29/2*p + h.
(p - 3)*(9*p - 2)/2
Let q(g) = -g**3 - 7*g**2 + 17*g - 6. Let n be q(-9). Let 2*o**n + 2*o**3 + 2*o**3 + 28