/5 + 10*m**4 + 56*m**3/3 + 16*m**2 - 975*m. Factor p(n).
4*(n + 2)**3*(2*n + 1)
Suppose -y + a + 40 = 0, -2*y + a = 2*a - 68. Let j be (y/27)/((-3)/(-18)). Factor -j*x**2 + 8*x + 1 - 9 + 17*x**2 - 11*x**2.
-2*(x - 2)**2
Let u be 39/12 - (8 + 189/(-28)). Suppose 5*m = -4*s - 10, 3*s - 10 = -u*s + 5*m. Factor s - 5/4*f**2 + 0*f.
-5*f**2/4
Factor -3/7*w**4 + 24/7 - 12/7*w - 18/7*w**2 + 15/7*w**3.
-3*(w - 2)**3*(w + 1)/7
Let k(h) = h**3 - 4*h**2 - 6*h - 15. Let j be k(5). Let w(u) = -u**4. Let t(v) = -15*v**4 - 35*v**2 - 30*v. Let r(m) = j*w(m) + t(m). Let r(y) = 0. Calculate y.
-2, -1, 0, 3
Let f(a) be the third derivative of -1 - 5/16*a**4 + 18*a**2 - 1/5*a**5 - 1/80*a**6 + 0*a + 25/2*a**3. Determine i, given that f(i) = 0.
-5, 2
Let s be ((-205)/10)/(-2*3/12). Suppose -31*u - 60 = -s*u. What is q in 16/7*q**2 - 8/7*q - 2*q**5 + 0 + u*q**3 + 4/7*q**4 = 0?
-1, 0, 2/7, 2
Let a(v) be the first derivative of 32 + 2/5*v + 2/5*v**3 - 1/10*v**4 - 3/5*v**2. Factor a(u).
-2*(u - 1)**3/5
Let p = -4610 - -4614. Let n(z) be the first derivative of p*z**2 - 2/3*z**3 - 8*z - 13. Factor n(q).
-2*(q - 2)**2
Let m(v) be the third derivative of -5*v**6/72 - 19*v**5/24 + 5*v**4/6 - 59*v**3/2 + v**2 - 3. Let i(n) be the first derivative of m(n). Factor i(x).
-5*(x + 4)*(5*x - 1)
Determine k so that 264*k**2 - 224/3*k**3 + 120 + 0*k**4 - 932/3*k + 4/3*k**5 = 0.
-9, 1, 2, 5
Determine m so that -245*m**3 - 4*m**5 - 218*m**3 - 4*m**4 + 487*m**3 = 0.
-3, 0, 2
Suppose -1652 = -20*o + 6*o. Let g = -116 + o. Factor 43*a**g + 4*a**3 + a**2 + 0*a**3.
4*a**2*(a + 11)
Let w(o) = -53 + o**2 - 41*o + 3 + 50*o. Let d be w(-13). Factor 1/3*j + 1/3*j**3 - 4/3*j**d + 2.
(j - 3)*(j - 2)*(j + 1)/3
Let m(s) be the second derivative of -s**4/18 + 16*s**2/3 - 2072*s. Factor m(w).
-2*(w - 4)*(w + 4)/3
Determine u, given that -16/9 + 2/9*u**4 + 14/9*u**2 + 22/9*u**3 - 2/9*u**5 - 20/9*u = 0.
-2, -1, 1, 4
Let i(r) = -3*r - 21. Let s be i(-9). Suppose 14 = 5*v - s. Factor -79*c**4 + 33*c**2 + 36*c - 6*c**3 + 76*c**v - 99 - 9.
-3*(c - 2)**2*(c + 3)**2
Let t(b) be the first derivative of -3*b**4/4 + 9*b**3 - 12*b**2 + 4546. Factor t(f).
-3*f*(f - 8)*(f - 1)
Let t(l) be the third derivative of -l**6/600 + 7*l**5/75 + 91*l**4/120 + 31*l**3/15 + 9*l**2 - 11*l - 4. Suppose t(i) = 0. Calculate i.
-2, -1, 31
Let v(t) be the third derivative of t**5/90 - 37*t**4/36 + 160*t**3/9 - 220*t**2. Factor v(f).
2*(f - 32)*(f - 5)/3
Let i(h) be the first derivative of -h**4/16 + 43*h**3/12 - 49*h**2/2 + 57*h + 5116. Find z, given that i(z) = 0.
2, 3, 38
Let 27/4*m**3 - 1875/4 + 1425/4*m + 423/4*m**2 = 0. What is m?
-25/3, 1
Let g(h) be the second derivative of -5*h**4/12 + 655*h**3/6 + 665*h**2 - 15*h - 2. Factor g(s).
-5*(s - 133)*(s + 2)
Let k(j) be the first derivative of j**3/4 - 18*j**2 - 75*j + 316. Find q such that k(q) = 0.
-2, 50
Suppose 60 = 4*i + 8*i. Suppose -5 = r + x, i*r - 2*x - 15 + 5 = 0. Factor -5/2*y**2 + r + 1/2*y**4 - 1/2*y**3 - 3/2*y.
y*(y - 3)*(y + 1)**2/2
Let s(u) be the first derivative of 25/2*u**3 + 1/20*u**5 - 15/2*u**2 + 5/4*u**4 + 0*u - 4. Let f(t) be the second derivative of s(t). Factor f(d).
3*(d + 5)**2
Suppose -166 = 6*r + 2. Let t be r/42*(-4)/6. What is f in 2/9*f**2 + 2/9*f - t = 0?
-2, 1
Let x = -3276 + 36038/11. Factor -16/11*r**4 + x*r**5 + 12/11*r**3 + 0 + 80/11*r**2 + 50/11*r.
2*r*(r - 5)**2*(r + 1)**2/11
Suppose 0 = -4*a - 4*p + 16, -27*a - 5*p = -29*a - 20. Suppose -f + 1 + 2 = a. Suppose 0*v**2 + 0 - 2/3*v**5 - 4/3*v**f + 0*v + 2*v**4 = 0. Calculate v.
0, 1, 2
Let n(u) = 8*u**2 + 825*u - 1410. Let q(i) = -i**2 - 102*i + 176. Let l(o) = 2*n(o) + 17*q(o). Determine r, given that l(r) = 0.
-86, 2
Let s(l) be the first derivative of l**7/168 + 25*l**6/72 + 47*l**5/24 + 115*l**4/24 - 31*l**3 + 85. Let m(b) be the third derivative of s(b). Factor m(d).
5*(d + 1)**2*(d + 23)
Let p be (-11 + 5)/((-3)/2). Suppose -8 = 2*j + 2*a, 8*j + 16 = 3*j - p*a. Factor 11*o**3 + 3*o**3 + 3*o**5 + o**3 + 12*o**4 + 6*o**2 + j*o**5.
3*o**2*(o + 1)**2*(o + 2)
Suppose 130 - 138 = -2*m. Solve -4*x**3 - 78*x**2 - 18 - 51*x + 6*x**m - 17*x**3 - 18*x = 0 for x.
-1, -1/2, 6
Suppose 259*q = 257*q + 26. Determine u, given that 5*u - 21*u + 7*u**2 + q - 3*u**2 + 3 = 0.
2
Let s be (2 + 0)*-10 - (-51168)/2184. Factor 6/7*l**2 - s + 10/7*l.
2*(l + 3)*(3*l - 4)/7
Suppose -172*o = -170*o - 72. Let b be (-2)/12 + 18/o. Factor 0 + 1/3*s**4 + 0*s + b*s**2 - 2/3*s**3.
s**2*(s - 1)**2/3
Suppose m - 3*c + 12 = 2, -3*c = 2*m - 16. Let v be (-152)/190*(10/(-4))/1. Factor 10 + 0 + 0*i**m - 11*i - i + v*i**2.
2*(i - 5)*(i - 1)
Suppose 2*h + 18 - 2 = 2*s, -2*h - 22 = s. Let g be (h/4)/((-25)/20). Solve 2*q**g - 12 - 10*q + q**2 - 5*q - 6*q**2 = 0.
-4, -1
Suppose 33 = a - 3*d, 3*a = -2*a + 3*d + 105. Let h be a/8*(-4)/(-3). Factor -2*p + 8 - 6*p + 22*p**3 - 6*p**2 + 0 - 14*p**h - 2*p**4.
-2*(p - 2)**2*(p - 1)*(p + 1)
Let v = 480 - 614. Let p be v/(-56) - -15*13/(-780). Determine i, given that p*i**2 - 36/7*i + 12/7 = 0.
2/5, 2
Let p(z) be the first derivative of -4*z**3/7 + 9*z**2/14 + 3*z/7 - 314. Factor p(g).
-3*(g - 1)*(4*g + 1)/7
Let u(v) = v**2 + 3*v - 1. Let g(y) = -y**3 + 15*y**2 - 9*y + 21. Let d(p) = g(p) - 6*u(p). Factor d(x).
-(x - 3)**3
Let m = 52 + -48. Suppose 6*d - 3*d + 4*w + 2 = 0, -4*w - 16 = -m*d. Factor 2/13*c**3 + 30/13*c - 18/13*c**d + 50/13.
2*(c - 5)**2*(c + 1)/13
Factor -1192/7*n - 2/7*n**2 - 177608/7.
-2*(n + 298)**2/7
Let p(r) be the second derivative of r**7/2100 - r**6/450 - r**3/3 + 23*r**2/2 + 63*r. Let v(q) be the second derivative of p(q). Find j, given that v(j) = 0.
0, 2
Let p(d) be the first derivative of d**6/40 + 3*d**5/10 + 3*d**4/8 - 5*d**3 - 77*d**2/2 - d + 141. Let n(z) be the second derivative of p(z). Factor n(h).
3*(h - 1)*(h + 2)*(h + 5)
Let p(r) be the second derivative of -2 + 1/72*r**4 - 6*r + 11/12*r**3 + 0*r**2. Factor p(x).
x*(x + 33)/6
Let t(p) = p**2 - 39*p - 13. Let q be t(39). Let m be 4*q/(-4) - 9. Let 1/2*c**2 + 0 - c - 1/2*c**m + c**3 = 0. What is c?
-1, 0, 1, 2
Suppose 0 = 430*p - 438*p + 64. Let r be (-29 + 29)*2/(p/(-2)). Suppose r*b - 3/5*b**2 + 0 - 3/5*b**5 + 3/5*b**3 + 3/5*b**4 = 0. What is b?
-1, 0, 1
Let i = -19122 - -19122. Let t(l) be the second derivative of -1/2*l**3 + 0 - 3/20*l**5 - 1/2*l**4 + i*l**2 - 43*l. What is x in t(x) = 0?
-1, 0
Let y = 5142303/13 - 395561. Factor 48/13 - 4/13*o - y*o**2 + 2/13*o**3.
2*(o - 4)*(o - 3)*(o + 2)/13
Let g(j) be the first derivative of 2*j**5/5 + 23*j**4/2 + 126*j**3 + 637*j**2 + 1372*j + 1437. Factor g(s).
2*(s + 2)*(s + 7)**3
Let m(d) be the third derivative of 0*d + 9/4*d**4 + 2 - 19/840*d**7 - 27/20*d**5 + 1/1344*d**8 + 0*d**3 + 21/80*d**6 - 17*d**2. Solve m(n) = 0 for n.
0, 1, 6
Let o = -423175/3 + 141059. Factor -44/3*a - o*a**2 - 242/3.
-2*(a + 11)**2/3
Let k(t) be the third derivative of t**5/90 + 31*t**4/36 - 22*t**3/3 - 2576*t**2. Factor k(j).
2*(j - 2)*(j + 33)/3
Determine s so that 8*s**4 - 6*s**3 - 187854*s**2 - 12*s + 22*s**3 + 187846*s**2 - 4*s**5 = 0.
-1, 0, 1, 3
Let w(j) be the first derivative of j**6/150 + 2*j**5/25 + j**4/10 - 4*j**3/3 - 15*j**2/2 + j + 42. Let r(q) be the second derivative of w(q). Factor r(l).
4*(l - 1)*(l + 2)*(l + 5)/5
Let h(w) be the second derivative of 1/18*w**4 + 841/3*w**2 - 31 + 2*w - 58/9*w**3. Factor h(j).
2*(j - 29)**2/3
Let t = 119 - 114. Suppose -10 = -t*u + 5. Factor 3*g**4 + 4 + 76*g**2 + 12*g + 0 - 63*g**2 + 6*g**u - 2*g**4.
(g + 1)**2*(g + 2)**2
Let t(m) be the first derivative of m**7/3780 + m**6/135 - 2*m**3/3 + 3*m + 60. Let q(v) be the third derivative of t(v). Factor q(b).
2*b**2*(b + 12)/9
Let d(a) be the third derivative of a**8/728 - 2*a**7/195 - 43*a**6/780 + 53*a**5/195 + 5*a**4/13 - 24*a**3/13 - 1795*a**2. Solve d(c) = 0 for c.
-3, -1, 2/3, 2, 6
Let l(u) be the first derivative of -u**3/3 + 15*u**2/2 + 154*u - 1236. Factor l(v).
-(v - 22)*(v + 7)
Let q be -24*((-118082)/8 + 9 - 11). What is p in -q - 2/3*p**4 + 72*p**3 - 2916*p**2 + 52488*p = 0?
27
Let x = 1146 - 8007/7. Let i = 4432/1729 - -2/247. Factor x + 3/7*b**2 - i*b.
3*(b - 5)*(b - 1)/7
Let v be -4 + (13/(-12))/(3/(-12)). Let x be 4/12 + (-1)/6. Factor x*t**3 + 0 - v*t - 1/6*t**2.
t*(t - 2)*(t + 1)/6
Factor 133/2*y**2 - 133/2 + 1/2*y - 1/2*y**3.
-(y - 133)*(y - 1)*(y + 1)/2
Let l