**7/70 + 11*b**6/20 - b**5 - 11*b**4/4 + 21*b**3/2 - 2*b**2 + 68. Let p(j) be the second derivative of d(j). Factor p(q).
-3*(q - 21)*(q - 1)**2*(q + 1)
Suppose -k - 58 = 3*m - 49, 15 = 13*k - 5*m. Let a(o) be the second derivative of -32/21*o**3 - 39*o - 128/7*o**2 - 1/21*o**4 + k. Determine y so that a(y) = 0.
-8
Let w be (-7920)/(-54) + 15/(-9). Factor -3*y**5 - 230*y**2 - 35 - 2*y**5 - 572*y**3 - 55*y**4 + 221*y**3 - w*y + 181*y**3.
-5*(y + 1)**4*(y + 7)
Let z(x) be the first derivative of 45*x**4/4 - 75*x**3 + 95*x**2 - 40*x + 691. Factor z(o).
5*(o - 4)*(3*o - 2)*(3*o - 1)
Let l(p) = p**2 - 7*p + 3. Let t(j) = 6*j - 26. Let w be t(6). Let x be l(w). Find k such that 3*k**2 - 11*k - 19*k + x*k = 0.
-1, 0
Let r be 7 + -2 + 11968/(-2400). Let j(k) be the third derivative of -r*k**5 + 16*k**2 + 1/300*k**6 + 1/60*k**4 + 0*k + 0 + 0*k**3. Factor j(h).
2*h*(h - 1)**2/5
Let v be (-209)/171*(265/40 - 7). Let g(r) be the second derivative of -1/2*r**2 + 0 - 5/96*r**4 - v*r**3 - 6*r. Determine f, given that g(f) = 0.
-4, -2/5
Suppose -88*z = -84*z - 1064. Let f = -266 + z. Find g such that -4/3*g - 2/3*g**4 - 10/3*g**2 - 8/3*g**3 + f = 0.
-2, -1, 0
Let m = 172789/4 + -42705. Let w = m + -492. Determine i, given that -3/4*i**3 + 3/4*i**2 + 0 + 1/4*i**4 - w*i = 0.
0, 1
Let t be ((-112)/140)/((-4)/90). Factor 288*s - 8 + 4*s**2 + 64 + 40*s**2 + t*s**3 + 91*s**2 + 31*s**2.
2*(s + 2)*(s + 7)*(9*s + 2)
Suppose -2*n = -4*l + n + 24680, -l - 3*n + 6155 = 0. Let v = 14508 - l. Determine u so that 3*u + 3*u**3 + v + 5*u**2 - 8341 + u**2 = 0.
-1, 0
Let m(t) = -27*t**2 + 25418*t + 6640207. Let l(v) = -3*v**2 + 3176*v + 830026. Let x(s) = -17*l(s) + 2*m(s). Factor x(o).
-3*(o + 526)**2
Find y such that -6*y**2 + 1838 - 2270 - 905*y - 2238 + y**2 = 0.
-178, -3
Factor 0 + 1/4*v**3 + 26*v**2 - 285*v.
v*(v - 10)*(v + 114)/4
Let -111/7*s**4 - 18*s**3 - 114/7*s + 393/7*s**2 + 30/7*s**5 - 72/7 = 0. Calculate s.
-2, -3/10, 1, 4
What is r in -73530*r**2 - 200 + 45*r - 243*r + 73532*r**2 = 0?
-1, 100
Suppose -392*z = -1064*z + 26880. Let c(t) be the second derivative of -1/2*t**3 + 1/8*t**4 + z + 0*t**2 - t. Let c(x) = 0. What is x?
0, 2
Let l(r) = -r**2 - 55*r - 51. Let d be l(-54). Let o(t) = -t**2 - 8*t + 35. Let j be o(d). Determine m, given that 18/7*m - 12/7*m**j + 0 + 2/7*m**3 = 0.
0, 3
Let j(s) = 32 - 3*s - 23 + 10*s + s**2. Let g be j(-6). Factor 4*r**2 + r**g - 2*r - 2*r**4 + 3*r**4 - 5*r**2 + r**3.
r*(r - 1)*(r + 1)*(r + 2)
Let j be 20/(-55) - (5 + 4037/(-121)). Let y(x) be the second derivative of 4/15*x**3 - j*x + 0 + 1/60*x**4 + 7/10*x**2. Factor y(d).
(d + 1)*(d + 7)/5
Determine i so that -2/17*i**2 - 36/17*i + 350/17 = 0.
-25, 7
Determine n so that 12810*n**2 + 50 + 55*n - 25597*n**2 + 12792*n**2 = 0.
-10, -1
Let m(s) be the first derivative of s**5 - 119*s**4/6 + 928*s**3/9 + 64*s**2/3 + 292. Factor m(r).
r*(r - 8)**2*(15*r + 2)/3
Let b = 19819/18888 + -6/787. Let y(q) be the second derivative of 0 + 5/48*q**4 - b*q**3 - 14*q + 15/4*q**2. Factor y(u).
5*(u - 3)*(u - 2)/4
Let a(m) be the first derivative of -3/35*m**5 - 66/7*m**2 - 15/14*m**4 + 124 - 33/7*m**3 - 60/7*m. Let a(d) = 0. Calculate d.
-5, -2, -1
Let b(f) be the third derivative of -28*f**2 - 5/48*f**4 + 1/120*f**5 + 0*f + 0 + 13/6*f**3 + 1/240*f**6. Let k(g) be the first derivative of b(g). Factor k(m).
(m - 1)*(3*m + 5)/2
Suppose 8*x = -35*x + 86. Suppose 5*v - 13 = -3*g, 0 = -51*v + 53*v - 2*g - x. Factor -98/3*j - 2/3*j**3 + 28/3*j**v + 0.
-2*j*(j - 7)**2/3
Let j be (-17290)/(-233415)*14*9. Suppose 2/9*b**2 + 38/9*b - j = 0. Calculate b.
-21, 2
Let d be 5*16/20*-4. Let t = -11 - d. Determine p, given that -5*p**3 - 3*p**2 + t*p - 8*p**2 + 5*p**2 + 5*p**4 + p**2 = 0.
-1, 0, 1
Suppose -54*k - 12 = -57*k. Let b be (4*(-5 + k))/(-2). Factor 2/13*j**3 + 6/13*j**b + 6/13*j + 2/13.
2*(j + 1)**3/13
Let h(i) be the second derivative of 21 + 23/2*i**3 + 0*i**2 + 1/4*i**4 - 3*i. Let h(u) = 0. Calculate u.
-23, 0
Let f(w) = -27*w - 6*w**2 - 8 - 3*w + 70*w**2. Let y(i) = -21*i**2 + 10*i + 3. Suppose -3*n = 5*n - 32. Let h(z) = n*f(z) + 11*y(z). Factor h(s).
(5*s - 1)**2
Let w = -54786 + 54786. Factor 0*z**4 + w*z + 0 + 6/13*z**3 + 4/13*z**2 - 2/13*z**5.
-2*z**2*(z - 2)*(z + 1)**2/13
Let h(j) be the third derivative of -j**5/180 - 43*j**4/72 - 20*j**3/3 + 211*j**2. Determine d so that h(d) = 0.
-40, -3
Factor 99856/5 + 1/5*k**2 - 632/5*k.
(k - 316)**2/5
Let l(r) = r**3 + 8*r**2 - r - 11. Let b be l(-8). Let z be ((-74)/5)/(b*6/90). Factor -3*t - 2*t**3 + 4*t - 72 + t**5 - 4*t**2 + z + 2*t**4.
(t - 1)**2*(t + 1)**2*(t + 2)
Let a be (-6 + (-154)/(-33))/(22/(-1408)). Factor -a - 32/3*r - 1/3*r**2.
-(r + 16)**2/3
Factor -55*i**3 + 228*i**2 - 13*i**3 - 133*i + 889*i - 1944 + 4*i**4.
4*(i - 9)**2*(i - 2)*(i + 3)
Let c(z) be the first derivative of z**3 - 189*z**2/2 + 830. Solve c(q) = 0.
0, 63
Let v = 6747 - 6747. Let p(b) be the second derivative of -1/34*b**5 + 7*b - 1/255*b**6 + 0*b**2 - 4/51*b**3 + v - 4/51*b**4. Determine s so that p(s) = 0.
-2, -1, 0
Let q(p) be the third derivative of -p**8/20160 + p**7/3528 - p**6/1680 - 19*p**5/20 + 50*p**2 - 1. Let c(t) be the third derivative of q(t). Factor c(l).
-(l - 1)*(7*l - 3)/7
Let m(q) = -q**3 - 918*q**2 - 220333*q - 19902506. Let x(w) = 21*w**2 + 2*w - 1. Let t(g) = 4*m(g) + 20*x(g). Let t(l) = 0. What is l?
-271
Let m(s) = 4*s**2 - s + 2. Let c(z) = 33*z**2 - 22*z + 61. Let o(r) = -5*c(r) + 40*m(r). Solve o(n) = 0.
5, 9
Let w(g) be the first derivative of 0*g**2 - 1/84*g**4 + 3 - 1/280*g**5 - 13/3*g**3 - 1/2520*g**6 + 0*g. Let x(v) be the third derivative of w(v). Factor x(l).
-(l + 1)*(l + 2)/7
Let a be (8/3)/(7 + (-69461)/9933). Let h = -378 + a. Let -4/5*c**4 + 1/5*c**5 + 0*c - h*c**2 + c**3 + 0 = 0. What is c?
0, 1, 2
Factor -72962/11 + 764/11*u - 2/11*u**2.
-2*(u - 191)**2/11
Let n(y) = 2*y**3 + 34716 - 73*y - 26*y**2 - 34771 + 8*y. Let k(f) = f**3 - 12*f**2 - 32*f - 28. Let q(a) = 9*k(a) - 4*n(a). Let q(u) = 0. What is u?
-2, 8
Let y = -12786 - -12792. Let d(r) be the third derivative of 14*r**2 + 0*r**3 + 0 + 0*r - 1/3*r**4 + 1/10*r**5 + 1/60*r**y. Let d(b) = 0. What is b?
-4, 0, 1
Factor -19*g**2 - 67/3*g - 17/3*g**3 - 26/3 - 1/3*g**4.
-(g + 1)**2*(g + 2)*(g + 13)/3
Let d be 4*(-26 - (-1370)/40). Let q(p) be the second derivative of 32/3*p**3 - 1/3*p**4 - 128*p**2 + 0 - d*p. Find k such that q(k) = 0.
8
Let m(a) be the first derivative of 0*a**2 - 1/24*a**3 + 25/8*a - 64. Suppose m(d) = 0. What is d?
-5, 5
Let -573/7 + 1/7*a**2 - 188/7*a = 0. Calculate a.
-3, 191
Let f = -2/697257 + 225911282/4880799. Let 624*s**2 - 324/7*s**3 + f*s + 6/7*s**4 - 4374/7 = 0. Calculate s.
-1, 1, 27
Let k(q) be the third derivative of -q**5/15 + 337*q**4/3 - 896*q**3 - 2*q**2 + 2208*q + 2. Factor k(z).
-4*(z - 672)*(z - 2)
Let g(j) be the third derivative of j**7/1155 + j**6/165 + j**5/66 + j**4/66 - 4540*j**2. Factor g(b).
2*b*(b + 1)**2*(b + 2)/11
Suppose 23*w = 20*w + 63. Find v such that 52*v**4 - 3*v**5 - 14*v**5 + 16*v**5 + w*v**5 - 224*v**3 + 80*v**2 = 0.
-5, 0, 2/5, 2
Solve 32631*j**4 - 802*j**2 - 32586*j**4 + 1800 + 18*j**3 - 304*j**3 + 7860*j - 19*j**3 - 348*j**2 = 0 for j.
-5, -2/9, 6
Let r(m) be the third derivative of 1/108*m**6 + 4*m**2 + 1/3*m**4 + 16/135*m**5 - 1/945*m**7 - 21 + 0*m + 0*m**3. Solve r(y) = 0 for y.
-2, 0, 9
Find b such that 0 - 16/5*b - 334/5*b**2 = 0.
-8/167, 0
Let r(j) be the third derivative of j**7/1050 + 4*j**6/75 - 67*j**5/300 + 17*j**4/60 + 2*j**2 - 106*j. Factor r(y).
y*(y - 1)**2*(y + 34)/5
Let v = 217099/7 + -31014. Let -1/7 - 2/7*p - v*p**2 = 0. What is p?
-1
Find d, given that -594 + 17*d**2 + 67*d**2 - 329*d**3 + 513*d + 326*d**3 = 0.
-6, 1, 33
Let n(w) = 12*w**5 - 3172*w**4 - 48*w + 16. Let y(a) = 4*a**5 - 1058*a**4 - 15*a + 5. Let t(g) = -5*n(g) + 16*y(g). Let t(z) = 0. Calculate z.
0, 267
Suppose -132 - 648/5*r**2 + 1314/5*r - 6/5*r**3 = 0. Calculate r.
-110, 1
Let g(l) be the first derivative of 15*l**3 + 3/4*l**4 + 77 + 0*l - 24*l**2. Let g(i) = 0. Calculate i.
-16, 0, 1
Let l(s) be the first derivative of -3*s**4/4 - 60*s**3 - 1350*s**2 + 777. Factor l(y).
-3*y*(y + 30)**2
Let l(m) = m**2 + 31*m - 177. Let h be l(5). Let c(b) be the second derivative of 16/3*b**h + 4*b**2 + 1/2*b**5 + 17/6*b**4 + 0 + 32*b. Factor