ve of -1/13*g**2 + 5 + 0*g - w*g**3. Factor q(o).
-2*o*(o + 1)/13
Suppose 47*v - 50*v - 9 = 0. Let o(p) = p**2 - 8*p + 3. Let h(t) = 2*t**2 - 8*t + 2. Let c(x) = v*h(x) + 2*o(x). Let c(k) = 0. What is k?
0, 2
Let 82*p**2 - 49*p - 77*p**2 - 4*p - 112*p = 0. What is p?
0, 33
Let z = 41 + -20. Let k = -19 + z. Factor 30*f**k + 163*f**3 + 15*f + 7*f**2 - 133*f**3 + 2.
(2*f + 1)*(3*f + 1)*(5*f + 2)
Let n(o) = o**3 - 8*o**2 + 18*o - 75. Let m be n(7). Let f(i) = -i**2 + 76*i + 163. Let a(c) = -26*c - 54. Let k(p) = m*f(p) + 7*a(p). Factor k(g).
-2*(g + 2)*(g + 13)
Let k be -5 + 3 - (-202 + 5). Let c be 3/((-1)/((-20)/12)). Factor -680*s**2 - 10 - 80*s**4 + 145*s**2 - 208*s**3 - 125*s + 125*s**c - 612*s**3 + k*s**5.
5*(s - 2)*(s + 1)*(4*s + 1)**3
Determine u, given that -1/3*u**2 + 1142/3*u - 326041/3 = 0.
571
Let w = 2076 + -2076. Let a(d) be the first derivative of 0*d**3 + w*d - 4/5*d**5 + 3*d**4 - 8*d**2 - 10. Factor a(f).
-4*f*(f - 2)**2*(f + 1)
Suppose -16 + 304 = 72*z. Let x be 7 + (2 + 0 - z - 1). Find m such that -1/5*m**5 + 0*m + 0*m**x - 2/5*m**2 + 3/5*m**3 + 0 = 0.
-2, 0, 1
Suppose -5*w + 4*a = -0*w - 27, 0 = -2*w + 2*a + 12. Factor 6*p**3 - 3*p**2 - 21*p - 15*p - w*p**4 + 36*p.
-3*p**2*(p - 1)**2
Let m = -2/591 + 8873/2364. Let d(g) be the first derivative of -32 + 5/12*g**3 - 5/4*g**2 - m*g. Factor d(f).
5*(f - 3)*(f + 1)/4
Let q(t) = -t**3 + 6*t**2 - 5*t + 4. Let o be q(5). Suppose -p = -5*b + 1 - 13, o*b - 24 = -4*p. Factor -p*h**4 - 8*h + 16*h**2 + 9*h**4 + 0*h**4 - 10*h**3.
2*h*(h - 2)**2*(h - 1)
Let x(y) be the third derivative of 0*y + 1/6*y**4 - 1/180*y**6 + 8 - 1/90*y**5 + 2*y**2 + 0*y**3. Determine z, given that x(z) = 0.
-3, 0, 2
Let g(k) = -k**3 + 4*k**2 + 12*k + 4. Let f be g(6). Find t, given that -10*t**2 + 25*t**2 + 2*t - f*t**4 + 10*t**3 - 23*t**2 = 0.
0, 1/2, 1
Let d(j) = 5*j**3 - 6*j**2 + j. Suppose -5*h = -347 - 18. Suppose -4*u + 13 = h. Let g(l) = -36*l**3 + 42*l**2 - 6*l. Let i(f) = u*d(f) - 2*g(f). Factor i(a).
-3*a*(a - 1)**2
Let z(v) = 57*v**2 - 72*v + 30. Let k(o) = 4*o**2 + 2. Let y(a) = 15*k(a) - z(a). Factor y(p).
3*p*(p + 24)
Let o(r) = 5*r**4 - 112*r**3 - 1331*r**2 - 3323*r - 2109. Let z(s) = 3*s**4 - 57*s**3 - 665*s**2 - 1659*s - 1054. Let f(n) = -4*o(n) + 7*z(n). Factor f(u).
(u + 1)*(u + 2)*(u + 23)**2
Let g(c) be the third derivative of -c**8/3024 - c**7/70 - c**6/8 + 5*c**5/4 - 2*c**2 + 259. Factor g(b).
-b**2*(b - 3)*(b + 15)**2/9
Let h be (1056/1232)/((-11)/2772*-12). Factor 111/2*x**2 + h*x**3 + 24 + 3/2*x**4 + 63*x.
3*(x + 1)**2*(x + 2)*(x + 8)/2
Let f = 54649/4370 + -12/2185. Let w(s) be the second derivative of -1/4*s**5 - 35/12*s**4 - 55/6*s**3 - f*s**2 + 0 + 35*s. Solve w(c) = 0 for c.
-5, -1
Solve -777/2*l**2 + 2523 + 1189/2*l - 1/2*l**4 - 57/2*l**3 = 0.
-29, -2, 3
Let l(h) = 13*h**3 + 1670*h**2 + 112*h + 7. Let f(s) = -4*s**3 - 556*s**2 - 32*s - 2. Let q(a) = 7*f(a) + 2*l(a). Find b such that q(b) = 0.
-276, 0
Let f = -612 + 614. Suppose -f*b = 59*x - 61*x - 2, x + 4 = 2*b. Find g such that -2/3*g**4 + 0 + g**5 - g**b + 2/3*g**2 + 0*g = 0.
-1, 0, 2/3, 1
Suppose -12*w + 435 = 75*w. Let b(j) be the first derivative of 25 + 0*j**w - 1/30*j**6 + 0*j + 3/20*j**4 - 2/15*j**3 + 0*j**2. Factor b(f).
-f**2*(f - 1)**2*(f + 2)/5
Let s(l) = -38*l**4 - 89*l**3 - 50*l**2 - 4*l. Let f = 86 + -82. Let c(m) = 2*m**4 + m**3 + m. Let y(j) = f*c(j) + s(j). Factor y(w).
-5*w**2*(w + 2)*(6*w + 5)
Suppose -17 = -4*l - 369. Let i = -70 - l. Factor -15*o - 3*o**2 + 6*o - 6*o - i.
-3*(o + 2)*(o + 3)
Let v = 80523/124 - 94356325/145452. Let f = v + -1/782. Factor f*l - 5/3*l**3 - l**2 + 0.
-l*(l + 1)*(5*l - 2)/3
Let y(m) = 11*m**2 - 19*m - 76. Let q be y(-8). Let r = 782 - q. Let 1/7*a**3 - 1/7*a**4 - 2/7 - 1/7*a + 3/7*a**r = 0. Calculate a.
-1, 1, 2
Suppose 3*m - 71 = 4*y - 104, -4*y = 4*m + 16. Factor 140/3*d**2 + 4/3*d**4 + 88/3*d + 0 + 56/3*d**y.
4*d*(d + 1)*(d + 2)*(d + 11)/3
Factor 2/5*n**2 + 1946/5*n + 1944/5.
2*(n + 1)*(n + 972)/5
Let a(w) = -4640*w + 4630. Let v(n) = -n**2 + 6960*n - 6945. Let l(q) = 7*a(q) + 5*v(q). Suppose l(o) = 0. What is o?
1, 463
Let m be 18/(-63)*(-5)/(65/182). Factor -1/2*o + o**3 + 1/2*o**m - 1/2*o**5 + 1/2 - o**2.
-(o - 1)**3*(o + 1)**2/2
Let q = -1294/13 + 3934/39. Let m(i) be the second derivative of -q*i**3 - 1/18*i**4 + 0 - 12*i**2 - 13*i. Factor m(f).
-2*(f + 6)**2/3
Let h(b) be the first derivative of 5*b**4/4 - 2575*b**3/3 - 5180*b**2 - 10380*b + 4950. Factor h(i).
5*(i - 519)*(i + 2)**2
Factor 120 + 218*x + 1/3*x**4 - 64/3*x**3 + 229/3*x**2.
(x - 60)*(x - 6)*(x + 1)**2/3
Let g(z) be the first derivative of -z**6/108 + z**5/45 + 31*z**2/2 + 73. Let w(p) be the second derivative of g(p). Find m, given that w(m) = 0.
0, 6/5
Factor 250/11*v**2 + 2/11*v**3 + 36000/11 + 8400/11*v.
2*(v + 5)*(v + 60)**2/11
Suppose 5*g = -o + 1783, -g - 5*o + 704 = g. What is x in g - 357 - 2*x**2 - x - 59*x = 0?
-30, 0
Factor 4/5*h**2 - 248/5*h + 928/5.
4*(h - 58)*(h - 4)/5
Factor -250/3*w - 26/3*w**2 - 400/3 - 1/6*w**3.
-(w + 2)*(w + 10)*(w + 40)/6
Solve 20*a + 10*a**4 - 40*a**4 + 12*a**4 + 36*a**2 + 7*a + 12*a**4 + 3*a**3 = 0.
-3/2, -1, 0, 3
Let y(z) be the first derivative of 5/4*z**4 + 35 - 15/2*z**2 - 25/6*z**3 + 0*z + 1/2*z**5. Factor y(p).
5*p*(p - 2)*(p + 1)*(p + 3)/2
Let i be (18 + -11 - 4) + 154 + 1. Let h = 161 - i. Solve -3/7*a**h + 0*a + 6/7*a**4 + 0 + 9/7*a**5 + 0*a**2 = 0 for a.
-1, 0, 1/3
Find m, given that -411*m + 261*m + 2*m**2 - 17 + 585 = 0.
4, 71
Suppose -13*y + 204 = -25*y. Let d be (5 + 46/(-10))*y/(-17). Factor -1/5*x**4 + 1/5*x**2 + d*x**3 + 0 - 2/5*x.
-x*(x - 2)*(x - 1)*(x + 1)/5
Let j(s) be the first derivative of s**5/20 - 201*s**4/32 + 199*s**3/24 + 5992. Factor j(f).
f**2*(f - 1)*(2*f - 199)/8
Let u(l) be the second derivative of -32*l**7/7 - 968*l**6/5 - 13593*l**5/5 - 37195*l**4/4 + 68413*l**3 - 238521*l**2/2 - 937*l. Let u(x) = 0. What is x?
-43/4, 1
Factor -2030625*j - 834*j**2 + 676*j**3 + 677*j**3 - 1356*j**3 - 3441*j**2 - 321515625.
-3*(j + 475)**3
Let v be (-2 + 2)/(58 + -54). Let p(o) be the first derivative of 2*o**3 - 5/2*o**4 - 7 + 0*o**2 + v*o. Factor p(y).
-2*y**2*(5*y - 3)
Let j(d) = -d**3 - 3*d**2 - 5*d - 13. Let s be j(-3). What is z in s*z**3 - 7*z**2 + 30*z**2 - 5*z**3 - 59*z**2 = 0?
-12, 0
Let o(k) = k**2. Let g(u) = -35*u - 55. Let b be g(-2). Let q(r) = 5*r**2 + 135*r + 90. Let p(z) = b*o(z) + q(z). Determine n so that p(n) = 0.
-6, -3/4
Let h be (-28)/(-8) + 1/2. Factor 5*k**2 - h*k**2 + 23*k + 3*k**2 + 36 + 17*k.
4*(k + 1)*(k + 9)
Factor -780*r**3 - 5*r**5 + 450 + 120*r**4 - 411*r + 292*r - 1336*r + 1670*r**2.
-5*(r - 15)*(r - 6)*(r - 1)**3
Let u be ((-4)/(-13))/(102/221). Factor -4*k**3 - 4*k + 22/3*k**2 + u*k**4 + 0.
2*k*(k - 3)*(k - 2)*(k - 1)/3
Suppose -44252/5*m**2 - 2/5*m**4 - 252810 - 616/5*m**3 + 97944*m = 0. What is m?
-159, 5
Let n be 2 + 7 + (-50)/6. Let r(d) be the second derivative of 0 + 18*d - 6*d**2 - 1/36*d**4 - n*d**3. Factor r(o).
-(o + 6)**2/3
Suppose -2*d - 2*h + 70 = 0, -2*d + 78 + 7 = -h. Factor d*n - 8*n + 5*n**2 - n**2.
4*n*(n + 8)
Let u(h) = 122*h**2 + 2*h + 7. Let g be u(-6). Factor 10*z**2 + g - 3*z + 26*z - 4363 + 23*z.
2*(z + 4)*(5*z + 3)
Let v be (-168)/(-40) - (14/(-5) - -2). Let t(k) be the first derivative of 5/8*k**4 + 0*k - 1/10*k**v + k**2 - 4/3*k**3 - 7. Let t(x) = 0. What is x?
0, 1, 2
Let u(w) = -2*w**2 + 6946*w - 6013517. Let s(j) = 2*j**2 - 6944*j + 6013516. Let q(a) = 5*s(a) + 4*u(a). Determine o, given that q(o) = 0.
1734
Suppose -8*r - 270 = -1926. Suppose 206*c - r*c = -4. What is f in 10/3*f**2 - c + 14/3*f = 0?
-2, 3/5
Let r(f) be the first derivative of 1/15*f**5 - 1/3*f**2 + 275 + 7/18*f**4 + 0*f + 13/27*f**3. Solve r(v) = 0.
-3, -2, 0, 1/3
Let l = -88019 + 49906960/567. Let h = l + 2/567. Determine u so that 0*u**2 + h*u - 1/3*u**3 + 0 = 0.
-1, 0, 1
Let x(d) be the first derivative of 5*d**3/3 + 445*d**2/2 - 170*d - 111. Let z(a) = -a**2 + 4*a - 1. Let c(p) = -x(p) + 20*z(p). Factor c(o).
-5*(o + 15)*(5*o - 2)
Factor -663*z + 167*z**3 - 87*z**3 - 331 - 77*z**3 + 991*z**2.
(z - 1)*(z + 331)*(3*z + 1)
Let y(m) be the first derivative of m**8/6720 + m**7/280 + m**6/32 + 5*m**5/48 - 80*m**3/3 + 30. Let k(w) be the third derivative of y(w). Factor k(h).
h*(h + 2)*(h + 5)**2/4
Let 280/3 - 96*v +