1)/(8/14). Let n(g) be the second derivative of -11/18*g**4 - 4/3*g**q + 0 - 32*g - 8/3*g**3. Factor n(k).
-2*(k + 2)*(11*k + 2)/3
Let i(u) be the third derivative of 1/1440*u**6 - 13/3*u**3 - 1/24*u**4 + 0*u + 0 + 1/160*u**5 - 36*u**2. Let y(c) be the first derivative of i(c). Factor y(g).
(g - 1)*(g + 4)/4
Let v(u) = 12*u**2 - 292*u + 581. Let a(o) = -7*o**2 + 145*o - 289. Let z(r) = -5*a(r) - 3*v(r). What is p in z(p) = 0?
2, 149
Let h(k) be the second derivative of k**4/48 + 83*k**3/24 + 81*k**2/4 - 2*k + 23. What is l in h(l) = 0?
-81, -2
Let m be 7*26/56 - (-14)/((-672)/60). Determine a, given that m*a**3 + 0 + 2/5*a**4 - 24/5*a - 16/5*a**2 = 0.
-6, -1, 0, 2
Factor -1328*r + 203*r + 864900 - 9*r**2 + 13*r**2 - 102*r - 2493*r.
4*(r - 465)**2
Let u be (47 - 43) + (3 - 0). Solve g**4 - 36*g**2 + 25*g**2 + u*g - 7*g**3 + 10*g**2 = 0.
-1, 0, 1, 7
Let d(z) be the third derivative of z**8/560 - z**7/280 - z**6/30 + z**5/10 + 95*z**3/6 - 53*z**2. Let v(q) be the first derivative of d(q). Factor v(j).
3*j*(j - 2)*(j - 1)*(j + 2)
Let u(f) be the second derivative of -f**5/80 - 887*f**4/48 + 1777*f**3/24 - 889*f**2/8 + 3*f + 669. Factor u(h).
-(h - 1)**2*(h + 889)/4
Let v(o) = o**3 + 13*o**2 - 8*o - 77. Let y be v(-13). Suppose y*n - 20 = -p + 32*n, 0 = -n - 4. Let 0 + 1/4*m**4 + 0*m - 1/4*m**3 + p*m**2 = 0. Calculate m.
0, 1
Let x(c) be the first derivative of 32*c**6 + 32*c**5 - 237*c**4 + 272*c**3 - 122*c**2 + 24*c - 655. What is h in x(h) = 0?
-3, 1/4, 2/3, 1
Determine b so that 1/4*b**4 + 28322 + 42721*b + 479/4*b**3 + 29037/2*b**2 = 0.
-238, -2, -1
Suppose 0 = 1815*c - 4691 + 1061. Solve -2/3 + 4/9*b + 2/9*b**c = 0.
-3, 1
Let w be (-9)/5 + 40/50. Let n(q) = -11*q - 6. Let i be n(w). Determine p, given that 0*p - 2/9*p**i + 0*p**2 - 2/9*p**4 + 4/9*p**3 + 0 = 0.
-2, 0, 1
Let q(r) be the first derivative of 33*r**4/4 + 128*r**3/3 - 8*r**2 + 2957. Solve q(u) = 0.
-4, 0, 4/33
Suppose -4*q = i - 6, q = -4*q + 5. Suppose l = 4*n - 2 - 2, -2*l = -2*n + i. Factor l*p**2 + 0*p + 0 + 0*p**3 + 3/7*p**5 + 3/7*p**4.
3*p**4*(p + 1)/7
Suppose -540*w - 2*w + 1434 = 175*w. Find j such that 33/5 + 69/5*j + 3/5*j**3 + 39/5*j**w = 0.
-11, -1
Let i be (-20 - -19)/(5/(-2) - -2). Let -3*u**i - 31 + 7 - u + u**2 - 25*u = 0. Calculate u.
-12, -1
Let g(a) be the second derivative of -1/30*a**3 - 1/60*a**4 - 2 + 1/100*a**5 + 2*a + 1/10*a**2. Determine r so that g(r) = 0.
-1, 1
Let n(g) be the first derivative of -2*g**3/21 + 111*g**2/7 + 452*g/7 - 515. Suppose n(v) = 0. What is v?
-2, 113
Let v = -11 - -12. Let u(a) = a + 1. Let q(w) be the third derivative of w**5/15 + 4*w**4/3 + 22*w**3/3 - 26*w**2. Let d(p) = v*q(p) - 8*u(p). Factor d(z).
4*(z + 3)**2
Factor -28/13*u**2 - 200/13 + 230/13*u - 2/13*u**3.
-2*(u - 5)*(u - 1)*(u + 20)/13
Let i = 15735 + -15733. Factor p**4 + 3*p**3 - 3*p + 1/4*p**i + 1.
(p + 2)**2*(2*p - 1)**2/4
Factor 15 - 3/5*t**3 - 9*t - 27/5*t**2.
-3*(t - 1)*(t + 5)**2/5
Let p(n) = n**2 - 95*n - 38346. Let k be p(249). What is m in 1/7*m**3 - 4/7*m**2 + 4/7*m + k = 0?
0, 2
Let m = 280 + -278. Suppose -w + 2*t = -3*w - m, 5 = -w - 3*t. Factor j - 1/4*j**4 + 3/4*j**2 - 1/2*j**3 - w.
-(j - 1)**2*(j + 2)**2/4
Let m be (-62)/15 - (-18)/135. Let j be ((-60)/(-48))/(1 - (-3)/m). Find n such that -3*n**2 + 9*n**j - 2*n**3 + 3*n**3 - 21*n**4 + 14*n**3 = 0.
0, 1/3, 1
Let f be -9*6640/2880 + 22. Factor -225/4*m - 115/4 + f*m**3 - 105/4*m**2.
5*(m - 23)*(m + 1)**2/4
Let y(x) be the first derivative of 1/27*x**6 + 50/27*x**3 + 35/18*x**4 + 0*x**2 + 22/45*x**5 + 0*x + 155. Factor y(j).
2*j**2*(j + 1)*(j + 5)**2/9
Determine l so that 36/5*l - 39/5*l**2 - 33/5*l**3 + 0 + 39/5*l**4 - 3/5*l**5 = 0.
-1, 0, 1, 12
Suppose i - 5 = -2*z, -z - 4*i - 8 = -0*z. Factor z*q - 12*q - 14*q - 6*q + 12*q**2 + 16.
4*(q - 1)*(3*q - 4)
Find k such that -530 + 434 - k**3 - 6*k**4 + 9*k**3 + 4*k**4 + 28*k + 62*k**2 = 0.
-3, -2, 1, 8
Factor -27376/3*m**2 + 700/9*m**3 - 2/9*m**4 + 3283264/9*m - 6243584/9.
-2*(m - 116)**3*(m - 2)/9
Let h = -590601 + 6496613/11. Find n such that 12/11 - 8/11*n**2 + 2/11*n + h*n**3 = 0.
-1, 2, 3
Let s(j) be the third derivative of -j**7/630 - j**6/18 - 29*j**5/45 - 32*j**4/9 - 32*j**3/3 + 190*j**2. Let s(g) = 0. Calculate g.
-12, -4, -2
Let f(o) be the first derivative of -131 - 2/21*o**3 - 4/7*o**2 - 6/7*o. Solve f(y) = 0.
-3, -1
Let s = 48 - 28. Suppose 4*v - 6 + 0 = -5*z, -3*z + 5*v = -11. Factor 20*l + 5*l**2 - 5*l**4 + 3*l**2 + 7*l**z - 10*l**3 - s.
-5*(l - 1)**2*(l + 2)**2
Let i(q) = q**3 - 3*q**2 - 13*q + 8. Let l be i(6). Factor -110 - l*s - 43*s + 126*s + 5*s**2.
5*(s - 2)*(s + 11)
Let x(g) be the second derivative of g**7/210 - g**6/90 - g**5/15 + g**3/6 - 4*g**2 + 30*g. Let a(t) be the second derivative of x(t). Solve a(r) = 0 for r.
-1, 0, 2
Find y, given that 114*y**2 + 4*y**3 - y**3 - 216 - 6461*y**4 + 6458*y**4 - 108*y = 0.
-6, -1, 2, 6
Suppose 8259 + 1905 = 42*m. Let x = -1690/7 + m. Factor x*k - 8/7 + 4/7*k**2.
4*(k - 1)*(k + 2)/7
Factor 10742*c + 215*c**3 + 2671*c**2 + 5*c**4 + 3584 + 539*c**2 + 7598*c + 21896.
5*(c + 2)*(c + 13)*(c + 14)**2
Let r(z) = -219*z**3 + 4947*z**2 - 30009*z - 140622. Let v(g) = g**4 + g**3 + g**2 + 3*g - 1. Let d(s) = -r(s) - 3*v(s). Determine y, given that d(y) = 0.
-3, 25
Factor -1104601/4 + 1051/2*p - 1/4*p**2.
-(p - 1051)**2/4
Suppose 0 = 77*k - 19623 + 19315. Factor 37/2*s**2 + 18 + 1/2*s**k + 30*s + 5*s**3.
(s + 2)**2*(s + 3)**2/2
Let a(l) be the third derivative of -l**6/210 + 88*l**5/105 - 2173*l**4/42 + 6724*l**3/7 + 1108*l**2. Determine s, given that a(s) = 0.
6, 41
Let j = 45 - 55. Let a = 13 + j. Factor 13*z**4 - 14*z + 36*z**2 - 39*z**3 - a*z**5 + 2*z + 5*z**4.
-3*z*(z - 2)**2*(z - 1)**2
Let c(b) = 52*b**2 - 1564*b + 8. Let s(k) = k**3 - 51*k**2 + 1563*k - 10. Let g(l) = -5*c(l) - 4*s(l). Factor g(y).
-4*y*(y - 14)*(y + 28)
Suppose 3*l - 4*o - 12 - 5 = 0, 5*l + 2*o - 11 = 0. Determine v, given that 18*v - 285*v**2 - 17*v - v - v**l + 6*v**3 = 0.
0, 57
Let c = -2316345196/511 - -4532967. Let l = -51/73 + c. Solve 2/7*m + 1/7*m**2 - l = 0 for m.
-4, 2
Factor 2/7*s**4 + 0 - 500/7*s**2 + 48*s + 162/7*s**3.
2*s*(s - 2)*(s - 1)*(s + 84)/7
Factor -310*s - 730 - 119*s**2 + 60*s**2 + 60*s**2 - 419*s.
(s - 730)*(s + 1)
Let a = 1735 - 982. Let o = -751 + a. Factor 4/5 + 2/5*s - 2/5*s**o.
-2*(s - 2)*(s + 1)/5
Let b(o) be the second derivative of o**6/20 + 81*o**5/40 + 9*o**4 - 625*o. Solve b(r) = 0 for r.
-24, -3, 0
Let k(m) = 6*m**3 - 3*m**2 - 9*m + 3. Let o(w) be the first derivative of 1/4*w**4 - 1/2*w**2 + 0*w**3 - 9 + w. Let x(z) = k(z) - 3*o(z). Factor x(f).
3*f*(f - 2)*(f + 1)
Find o such that 0 - 2*o**2 + 2*o**4 - 10/3*o**3 + 8/3*o + 2/3*o**5 = 0.
-4, -1, 0, 1
Suppose 1700/7 - 190/7*j + 2/7*j**2 = 0. What is j?
10, 85
Let x(f) be the second derivative of -f**7/7 + 206*f**6/15 - 2444*f**5/5 + 7304*f**4 - 90992*f**3/3 + 42592*f**2 + 2*f + 3044. Solve x(o) = 0.
2/3, 2, 22
Let m(z) be the first derivative of -2*z**5/5 + 11*z**4 - 112*z**3 + 522*z**2 - 1134*z + 4907. Factor m(o).
-2*(o - 9)*(o - 7)*(o - 3)**2
Let c = 9041 + -9041. Let f(i) be the third derivative of 1/54*i**4 + 1/270*i**5 - 1/9*i**3 + c + 0*i + 8*i**2. Factor f(t).
2*(t - 1)*(t + 3)/9
Let p(a) be the second derivative of 2*a**6/15 + 3*a**5/5 - 28*a**4/3 + 1101*a + 2. Find z such that p(z) = 0.
-7, 0, 4
Let -2014*w**4 + 1019*w**4 - 1110*w**3 + 994*w**4 = 0. Calculate w.
-1110, 0
Let s(d) be the second derivative of 45*d**4/4 + 280*d**3/3 + 40*d**2 + 429*d - 2. Suppose s(u) = 0. What is u?
-4, -4/27
Let m = -467147 - -934297/2. Find v, given that 7/4 - 1/4*v**2 + m*v = 0.
-1, 7
Let -4 - 4353*c**3 - 8 + 231*c**2 - 84*c + 4488*c**3 = 0. What is c?
-2, -1/9, 2/5
Let j(y) be the second derivative of -y**9/105840 + y**8/11760 - y**7/5880 + 5*y**4/4 + 43*y. Let h(q) be the third derivative of j(q). Factor h(o).
-o**2*(o - 3)*(o - 1)/7
Let t(c) = c**2 + 674*c - 729. Let n(r) = 335*r - 365. Let w(o) = -9*n(o) + 5*t(o). Factor w(l).
5*(l - 1)*(l + 72)
Let x be (-9223)/(-5) - (-14)/35. Let g = 2625 - x. Let 50 + 4*a**3 - 22*a**2 - 86*a**2 + g*a - 726 = 0. What is a?
1, 13
Let z(v) = -v**3 + 2*v**2 + 2*v. Let m(d) = -14*d**4 + 166*d**3 + 342*d**2 + 100*d - 56. Let r(o) = m(o) - 6*z(o). Solve r(n) = 0.
-1, 2/7, 14
Suppose -3*l = -6*l - h + 13, 0 = 4*l +