 4)*(n + 82)/6
Let b(j) = -202 + 67*j - 183 + 54. Let i be b(5). Determine s, given that -7/5*s**i - 6/5*s**3 + 7/5*s**2 + 2/5*s + 0 + 4/5*s**5 = 0.
-1, -1/4, 0, 1, 2
Suppose -60*s + 76 = -22*s. Let v(a) be the third derivative of -1/2*a**4 + 0*a - 5/3*a**3 + 0 + 15*a**s - 1/30*a**5. Suppose v(x) = 0. What is x?
-5, -1
Let k(w) be the third derivative of 5*w**8/2688 + w**7/560 - 77*w**6/960 + 29*w**5/96 - w**4/2 + 5*w**3/12 - 2*w**2 + 277. Suppose k(u) = 0. Calculate u.
-5, 2/5, 1, 2
Let f(v) be the second derivative of v**4/27 - 332*v**3/27 - 338*v**2/3 - 557*v + 9. Suppose f(j) = 0. Calculate j.
-3, 169
Let q(a) be the first derivative of -a**5/2 + 35*a**4/12 + 50*a**3/3 + 55*a**2/2 + 281*a - 224. Let h(t) be the first derivative of q(t). Factor h(x).
-5*(x + 1)**2*(2*x - 11)
Let f(z) be the second derivative of 2 + 1/48*z**4 - 5/24*z**3 + 0*z**2 + 31*z. Factor f(y).
y*(y - 5)/4
Let j = -115 - -119. Find i such that 71*i - 26*i + i**2 - 33*i - j - 9 = 0.
-13, 1
Let l(j) be the third derivative of -j**5/390 - 7*j**4/12 + 160*j**3/13 - 7*j**2 - 67*j + 4. Factor l(x).
-2*(x - 5)*(x + 96)/13
Let -1/9*m**3 - 23*m**2 + 0*m + 0 = 0. Calculate m.
-207, 0
Let n(i) be the third derivative of 57121*i**5/20 - 239*i**4 + 8*i**3 - i**2 - 127*i. Let n(b) = 0. Calculate b.
4/239
Let a(l) be the second derivative of 1/12*l**4 - 1/90*l**6 + 2/9*l**3 - 2/3*l**2 - 1/30*l**5 + 59*l + 0. Factor a(r).
-(r - 1)**2*(r + 2)**2/3
Let t(n) be the first derivative of -2*n**3/9 + 1226*n**2 - 2254614*n + 8010. Factor t(b).
-2*(b - 1839)**2/3
Let a(m) be the first derivative of -m**3/12 + 453*m**2/8 + 227*m/2 - 1830. Solve a(s) = 0 for s.
-1, 454
Factor 0 + 64/3*z - 4*z**3 + 0*z**2 - 2/3*z**4.
-2*z*(z - 2)*(z + 4)**2/3
Let n(y) be the first derivative of -y**4/7 - 28*y**3/3 + 100*y**2/7 + 1053. Factor n(w).
-4*w*(w - 1)*(w + 50)/7
Let x = 2156 + -6467/3. Let f(d) be the second derivative of -3*d + 0*d**2 - x*d**4 + 1/60*d**6 + 0 + d**3 - 1/40*d**5. Suppose f(q) = 0. Calculate q.
-3, 0, 2
Suppose -2*m = 4*b + 10, -10 = -4*b - 360*m + 362*m. Let p(k) be the second derivative of 2*k**2 + b - 1/6*k**4 + 1/3*k**3 + 5*k. Factor p(x).
-2*(x - 2)*(x + 1)
Let w = 181294/27795 - -20/1853. Factor w + 2/15*r**2 + 28/15*r.
2*(r + 7)**2/15
Let x(h) = -8*h**3 - 17*h**2 + 7*h + 14. Let q(j) = -4 + 38*j**3 + 2 - 76*j**3 + j + 4 + 37*j**3. Let t(p) = -28*q(p) + 4*x(p). Suppose t(a) = 0. Calculate a.
-17, 0
Solve 374/3*o**4 - 1550/3*o**2 - 10/3*o**5 - 266*o**3 - 280 + 2824/3*o = 0 for o.
-2, 2/5, 1, 3, 35
Factor 2980*s + 2000 + 314*s**4 + 70*s**2 + 1870*s**2 + 257*s**3 + 299*s**3 - 238*s**4 + 220*s + 4*s**5.
4*(s + 2)**2*(s + 5)**3
Factor 406/9*n**4 + 1/9*n**5 + 0 - 27608/3*n**2 + 40801/9*n**3 + 4624*n.
n*(n - 1)**2*(n + 204)**2/9
Suppose 0 = -147*t + 149*t - 6. Let y**3 + 2*y**3 + 13*y**3 - 30 - 2 + 108*y + 78*y**2 - 8*y**t = 0. Calculate y.
-8, -2, 1/4
Let j be (-4)/(-14) - 276/(-14). Let b = 22 - j. Factor 4*c**b - 15*c - 3*c**2 + 4*c**2.
5*c*(c - 3)
Find t such that 96774/5 + 508/5*t + 2/15*t**2 = 0.
-381
Factor 2/7*a**3 + 3040/7*a - 158/7*a**2 + 3200/7.
2*(a - 40)**2*(a + 1)/7
Let f(m) = -10*m**2 + 58*m - 804. Let s(h) = 28*h**2 - 175*h + 2418. Let g(l) = -17*f(l) - 6*s(l). Factor g(j).
2*(j - 10)*(j + 42)
Let r(g) be the third derivative of -275*g**8/2016 - 23*g**7/63 - 43*g**6/144 - g**5/12 + 10*g**2 - g - 8. Find w such that r(w) = 0.
-1, -2/5, -3/11, 0
Let s = -5655/7 - -808. Suppose -15/7 - 16/7*j - s*j**2 = 0. Calculate j.
-15, -1
Let y = 4312/7015 - -260/1403. Factor -y*g - 4/5*g**2 + 8/5.
-4*(g - 1)*(g + 2)/5
Let c = 225 - 205. Factor -2*l**2 + 12 + c*l + 16 - 8 + 2.
-2*(l - 11)*(l + 1)
Factor 380/9*y**2 + 3096 - 2/9*y**3 - 706*y.
-2*(y - 172)*(y - 9)**2/9
Find k such that -3723*k + 672 + 3*k**2 + 7381*k - 3775*k = 0.
7, 32
Let q be -71 + ((-851072)/(-183))/64. Factor 7/3*l - 2/3*l**2 - q.
-(l - 1)*(2*l - 5)/3
Find m such that 4601790 + 5420*m + 1521*m**2 - 4601810 - 353*m**2 + 1547*m**2 = 0.
-2, 2/543
Let w = 5122/355 - 2/71. Factor 33/5*n + 16/5*n**3 + 4/5 + w*n**2.
(n + 4)*(4*n + 1)**2/5
Factor 3362/3*w + 0 + 2/3*w**4 + 1066*w**2 - 54*w**3.
2*w*(w - 41)**2*(w + 1)/3
Let n = 2192 + -120554/55. Let i(l) be the first derivative of -n*l**5 + 12/11*l**3 + 4 + 0*l**2 - 3/22*l**4 + 0*l. Factor i(j).
-6*j**2*(j - 2)*(j + 3)/11
Suppose -2*j + 5*l = 4, 0*j - 5*l + 22 = 4*j. Determine v so that -19*v**3 + 22*v**j + 22*v + 4*v**2 + 1 - 31*v**3 + 5 - 10*v**4 + 6*v**5 = 0.
-1, -1/3, 1, 3
Let m(j) be the third derivative of j**7/140 + 11*j**6/40 + 15*j**5/8 + 27*j**4/8 - 214*j**2 + 12. Factor m(c).
3*c*(c + 1)*(c + 3)*(c + 18)/2
Let v(d) be the second derivative of d**6/6 - 5*d**4/2 + 20*d**3/3 - 15*d**2/2 - 7*d + 61. Suppose v(j) = 0. Calculate j.
-3, 1
Solve 3/5*r**3 + 78/5*r**2 + 372/5 - 453/5*r = 0 for r.
-31, 1, 4
Let t(i) be the third derivative of 3*i**2 - 1/350*i**7 + 0*i**3 + 7/200*i**6 + 0 + 0*i**4 - 1/10*i**5 - 19*i. Factor t(r).
-3*r**2*(r - 5)*(r - 2)/5
Suppose 6*q - 7*q + 2 = 0. Suppose 2*z = -z - 4*p + 6, -q*z + 3*p = -4. Solve 5/2*a**z + 0 + 1/2*a**3 + 2*a = 0 for a.
-4, -1, 0
Let g(y) be the first derivative of -4/3*y**3 + 4/5*y**5 + 0*y + 1/3*y**6 + 0*y**4 - y**2 - 59. Factor g(d).
2*d*(d - 1)*(d + 1)**3
Let g be ((-196)/(-2793))/(-3 - (-17292)/5760). Let -264/19*q**2 - g*q - 512/19 - 2/19*q**4 - 40/19*q**3 = 0. What is q?
-8, -2
Let l(p) = -3*p - 12. Let n be l(-14). Let x = n - 28. Determine d, given that 14 + d**x - 8 + 0*d - 7*d = 0.
1, 6
Let n(c) be the third derivative of 0*c - 1/30*c**4 + 0 - 1/150*c**5 - 140*c**2 + 1/525*c**7 + 1/150*c**6 + 0*c**3. Find q such that n(q) = 0.
-2, -1, 0, 1
Let d(x) be the second derivative of -x**4/30 - 74*x**3/5 - 1296*x**2/5 - 5084*x. Factor d(m).
-2*(m + 6)*(m + 216)/5
Let m(h) = 155*h**2 - 4270*h + 39665. Let v(i) = -194*i - 20*i**2 + 1803 + 40*i**2 - 13*i**2. Let w(l) = -2*m(l) + 45*v(l). Suppose w(d) = 0. Calculate d.
19
Let k be (((-3565)/6030)/(-31))/((-11)/(-419)). Let o = k - -1/1206. What is y in 10/11*y + 2/11*y**3 + 4/11 + o*y**2 = 0?
-2, -1
Suppose -3*i - 3*i + 18 = 0. Factor 9 - 184*t + t**i - 4*t**2 - 2 + 9 + 180*t.
(t - 4)*(t - 2)*(t + 2)
Let f(a) be the second derivative of 1/10*a**5 + 0*a**2 + 0 - 1/3*a**3 + 62*a + 0*a**4. Let f(y) = 0. Calculate y.
-1, 0, 1
Suppose 0 = -41*x + 9155 + 4908. Find j, given that 489*j**2 - 40*j + 297 - 488*j**2 + x - 240 = 0.
20
Factor 18*f - 13*f + 9*f**3 - f**4 + 0*f - 27*f**2 + 12*f - 12 + 14*f.
-(f - 4)*(f - 3)*(f - 1)**2
Let w be 5/20 + (-3270)/120. Let c be 3/(w/(-2)) + 208/117. Suppose -8/7*t**c + 2/7*t**5 + 4/7*t**4 + 0 - 6/7*t**3 + 8/7*t = 0. Calculate t.
-2, 0, 1
Let f(i) = 3*i**3 - 1175*i**2 - 9998*i - 800. Let p be f(400). Factor -9/4*l**3 - 15/4*l**2 + 3/4*l**4 + p - 3/2*l + 3/4*l**5.
3*l*(l - 2)*(l + 1)**3/4
Suppose 61*o - 49*o = 38*o + 6*o. Let 0 + 7/4*u**4 + o*u + 3/4*u**5 + 0*u**2 + 1/2*u**3 = 0. Calculate u.
-2, -1/3, 0
Let z be -27*4/3*-3. Suppose 3*y - 2*q = -0*q + 68, -2*q = -5*y + z. Factor -10*u**4 - 56*u**3 - 2 + y*u + 21*u**3 - 20*u**2 + 2.
-5*u*(u + 2)**2*(2*u - 1)
Let r = 639 + -637. Suppose -r*b = -4*n, -20*b + 15*b + 15 = 5*n. Suppose 4/7 + 2/7*m - 2/7*m**b = 0. Calculate m.
-1, 2
Factor -6 + 3/2*i**3 + 3/2*i**4 - 27/2*i**2 + 33/2*i.
3*(i - 1)**3*(i + 4)/2
Let i = -1/719 + 70465/2157. Let h(l) = -l**3 + 10*l**2 - 15*l - 6. Let s be h(8). Suppose 84*c**s + 16/3 - 40*c - i*c**3 = 0. What is c?
2/7, 2
Suppose 5*x - 4*r = 167, r + 71 = 5*x - 87. Suppose -416*s**2 + 9*s**4 - 251*s - x*s - 38*s + 83*s**4 - 16*s**5 + 12*s**3 = 0. Calculate s.
-5/4, -1, 0, 4
Let i = -64214/7 - -9174. Let k(g) be the first derivative of -5/14*g**4 - 2/35*g**5 - 6/7*g**3 - g**2 - i*g + 7. Factor k(l).
-2*(l + 1)**3*(l + 2)/7
Find z such that 2/19*z**2 + 276768/19 - 1488/19*z = 0.
372
Suppose -2*o + 7*o + 4*u = -14, o + 22 = 4*u. Let c be 4 + (-32)/8 - 4/o. Suppose 0*i + 2/3 - c*i**2 = 0. What is i?
-1, 1
Let m(f) be the third derivative of f**8/84 - 10*f**7/21 + 19*f**6/3 - 18*f**5 - 405*f**4/2 - 486*f**3 - 6*f**2 - 5*f - 3. Factor m(i).
4*(i - 9)**3*(i + 1)**2
Let y = -1/15223 - -30449/45669. Let s(u) be the first derivative of -4*u + u**2 + 25 + y*u**3. Factor s(c).
2*(c - 1)*(c + 2)
Suppose 5*w = -4*h + 39, w = -14*h + 16*h - 9. Solve 8/3*x**2 - h*x + 4/3 = 0.
1/4, 2
Let h =