ch that 19/4*a**4 - 23*a - 97/4*a**3 + 2 + 81/2*a**2 = 0.
2/19, 1, 2
Let x be (102/3)/(8 + -6). Factor -20*k + 8 + 12 - x*k**2 - 8*k**4 + 20*k**3 + 2*k**2 + 3*k**4.
-5*(k - 2)**2*(k - 1)*(k + 1)
Let b(n) be the second derivative of n**5/15 + 38*n**4/9 + 70*n**3/9 - 148*n**2/3 - 291*n. Solve b(j) = 0 for j.
-37, -2, 1
Let n be (264/(-770))/(9*((-2)/21)/2). Factor 4*h**2 + n*h**3 + 32/5*h + 16/5.
4*(h + 1)*(h + 2)**2/5
Suppose -14*o - 9 - 19 = 0. Let p be 43/5 + (45/(-9) - o). Find t, given that -8/5*t - 16/5*t**3 - p*t**2 + 4/5 = 0.
-1, 1/4
Let t(y) be the second derivative of 0*y**2 - 1/18*y**3 - 90*y + 1/126*y**7 + 1/18*y**4 + 0*y**5 + 0 - 1/45*y**6. Factor t(w).
w*(w - 1)**3*(w + 1)/3
Let l be -16 + 13 + (44/8 - 2). Let j(g) be the second derivative of -5/12*g**4 + 0 + l*g**5 - 5/3*g**3 - 13*g + 1/6*g**6 + 0*g**2. Factor j(h).
5*h*(h - 1)*(h + 1)*(h + 2)
Find n, given that 3416/9*n + 729316/9 + 4/9*n**2 = 0.
-427
Suppose 0 = -z + 1, 8*r - 12*r = -3*z - 65. Let g(k) be the second derivative of 3/10*k**2 + 2/15*k**3 + 1/60*k**4 - r*k + 0. Determine h, given that g(h) = 0.
-3, -1
Let p(k) = -18*k**3 - 1236*k**2 - 15*k + 1335. Let d(u) = -5*u**3 - 309*u**2 - 4*u + 336. Let i(r) = -22*d(r) + 6*p(r). Factor i(m).
2*(m - 309)*(m - 1)*(m + 1)
Let q(a) be the first derivative of -21/2*a**2 - 30*a + 102 - a**3. Factor q(w).
-3*(w + 2)*(w + 5)
Let d(g) be the third derivative of g**6/240 + 9*g**5/40 + 29*g**4/12 + 11*g**3 + 78*g**2. Factor d(a).
(a + 2)*(a + 3)*(a + 22)/2
Let o = 3552 + -3548. Let p(m) = m**3 + 5*m**2 - 2*m - 7. Let k be p(-5). Suppose 24*y**2 + 36*y + 3*y**3 + 16 - k*y**3 + o*y**3 + 0*y**3 = 0. Calculate y.
-4, -1
Determine n, given that -1/3*n**4 + 536/3*n + 58/3*n**3 - 1040/3 + 149*n**2 = 0.
-4, 1, 65
Let y be 2/28 + (-233)/3262. Let n(b) be the second derivative of -5/12*b**4 - 4*b + 0 + y*b**3 + 5/2*b**2. Factor n(q).
-5*(q - 1)*(q + 1)
Let y(o) be the third derivative of o**5/60 - 19*o**4 - 459*o**3/2 - 360*o**2 - 9. Solve y(q) = 0 for q.
-3, 459
Let m(c) = -4*c**2 - 140*c + 6346. Let t be m(26). Find o such that 2/7*o**t + 2592/7 - 144/7*o = 0.
36
Let g(z) = -z**3 - 10*z**2 - 14*z + 10. Let r be g(-9). Factor -6*d - r*d**2 + 5*d**5 + 10*d**4 - 15*d**3 + 15*d**2 - 14*d.
5*d*(d - 2)*(d + 1)**2*(d + 2)
Let t be ((-1)/(-1))/(19/(-703)). Let k be (-3*2/3)/(t + 30). Solve k*b - 6/7*b**2 + 0 - 8/7*b**3 = 0.
-1, 0, 1/4
Let y = -18/227 + 153506/681. Factor 1/3*v**3 - 52/3*v**2 + 0 + y*v.
v*(v - 26)**2/3
Suppose 0 = 3*j + 4*u - 10 - 132, 0 = -2*j + 3*u + 72. Solve -102*p - 96*p**2 - 3*p**4 - 13 + 18*p**4 - j*p**3 - 48*p**2 - 2 + 0*p**4 = 0 for p.
-1, -1/5, 5
Let y(j) be the third derivative of 0 - 1/900*j**6 - 18/5*j**3 - 13/20*j**4 - 2/45*j**5 + 0*j - 94*j**2. What is n in y(n) = 0?
-9, -2
Let i(s) be the second derivative of s**8/336 - s**7/12 - s**6/72 + 7*s**5/12 - 47*s**3/3 + 7*s. Let q(r) be the second derivative of i(r). Factor q(w).
5*w*(w - 14)*(w - 1)*(w + 1)
Suppose -19*u + 15*u + 3*m - 2740 = 0, -672 = u - 4*m. Let b = 4834/7 + u. Let -27/7 - 3/7*w**2 + b*w = 0. Calculate w.
3
Let v be 72/14*((-330)/44 + 8). Solve 0 - v*q + 2/7*q**3 - 16/7*q**2 = 0 for q.
-1, 0, 9
Let n be (1 - 2/10)/(18/45). Let a be -1*6*n/(-4) + -1. Solve -2*p**3 + 5*p**a + 4 + 3*p**3 + p**2 - 19*p + 28*p = 0.
-4, -1
Let d(c) = -9*c**3 - 5*c**2 - 6*c - 24. Let g be d(-4). Suppose -44 = -12*l + g. Factor 75*y + 58*y**3 - 111*y**3 - 35 + 58*y**3 - l*y**2.
5*(y - 7)*(y - 1)**2
Let n(s) = 2*s**3 - 171*s**2 - 287*s + 2262. Let c be n(87). Factor 0 + 0*h**2 + c*h + 2/9*h**4 - 4/3*h**5 + 0*h**3.
-2*h**4*(6*h - 1)/9
Suppose z + 2*n - 14 = 0, 0 = -2*z - 2*n + 4 + 24. Suppose 71 - 15 = z*x. Factor -1/6*o**x + 1/2*o**2 - 5/6*o + 1/6*o**3 + 1/3.
-(o - 1)**3*(o + 2)/6
Let w = 6288 - 6286. Let x(i) be the third derivative of -1/15*i**5 - 2/35*i**7 + 0*i - 1/10*i**6 - 1/84*i**8 + 0 + 0*i**3 + 5*i**w + 0*i**4. Factor x(n).
-4*n**2*(n + 1)**3
Factor 56 - 248/9*o - 2/9*o**2.
-2*(o - 2)*(o + 126)/9
Let d = 535 - 524. Let o be -18*d/(-726) - (-73)/55. Factor -o - 2/5*l**2 - 8/5*l.
-2*(l + 2)**2/5
Let a = 157 + -117. Let g = 42 - a. Find z, given that 215 - 3*z**g + 5*z**2 - 46*z + 2*z + 27 = 0.
11
Let z(u) be the first derivative of 3*u**4 - 31*u**3/3 - 6*u**2 + 48*u + 16. Let s(h) = 2*h**3 - 5*h**2 - 2*h + 8. Let q(r) = -34*s(r) + 6*z(r). Factor q(a).
4*(a - 4)*(a - 1)*(a + 1)
Let o(n) be the second derivative of -n**6/120 - 3*n**5/80 + 11*n**4/6 + 15*n**3/2 - 942*n. Factor o(m).
-m*(m - 9)*(m + 2)*(m + 10)/4
Find y, given that 154/9*y**2 - 196/9*y + 0 - 10/9*y**3 = 0.
0, 7/5, 14
Let j = 12556/1851 + -72/617. Determine k so that j*k**3 + 20/3*k**4 + 0 - 8*k + 4/3*k**5 - 20/3*k**2 = 0.
-3, -2, -1, 0, 1
Let o = -8793093/7 - -1256157. Factor 3/7 + 2/7*h**2 - 1/7*h**5 - 5/7*h**4 + h - o*h**3.
-(h - 1)*(h + 1)**3*(h + 3)/7
Let 100/7*u**2 + 7488/7 + 2/7*u**3 + 1536/7*u = 0. Calculate u.
-26, -12
Let x(o) = 9*o**4 + 32*o**3 - 227*o**2 + 4*o + 4. Let j(s) = -41*s**4 - 129*s**3 + 909*s**2 - 18*s - 18. Let y(p) = 2*j(p) + 9*x(p). Let y(a) = 0. Calculate a.
0, 15
Factor 995861*g**2 + 3456*g**3 + 2811*g + 960 + 1541*g - 989237*g**2 + 108*g**4.
4*(g + 30)*(3*g + 2)**3
Let f(t) be the third derivative of t**6/24 + 217*t**5/12 + 2125*t**4/8 + 3165*t**3/2 - 1174*t**2. Factor f(h).
5*(h + 3)**2*(h + 211)
Let n(s) = s**3 + 2*s**2 - 5*s - 3. Let k be n(-3). Let j be 1/((-2)/(-5)) + (-1)/2. Factor 5*t - 3*t**3 + 13*t**j - 5*t**4 - 2*t**k - 8*t**2.
-5*t*(t - 1)*(t + 1)**2
Solve -7135/2*z**2 + 0 - 2380*z + 15/4*z**3 = 0.
-2/3, 0, 952
Let a = -829/12 - -2495/36. Let b(d) be the first derivative of -4/27*d**3 + 0*d + a*d**2 - 12. Factor b(k).
-4*k*(k - 1)/9
Let u be 1 + -1 - (-8 + 6). Suppose 0 = -r + u*r - 35. Determine s so that -15 + 3 - 10*s**2 - s - r*s + 2*s = 0.
-3, -2/5
Let r(y) be the third derivative of -1/2520*y**8 + 10*y**2 + 32/45*y**5 - 11/75*y**6 + 0*y - 64/45*y**4 + 4/315*y**7 + 0*y**3 + 2. Find i, given that r(i) = 0.
0, 2, 8
Let f be 3/9 - (-72)/27. Suppose -5*u - 4*y + 212 = -242, 3 = f*y. Factor 93*p**2 - u*p**2 - 6 - 6.
3*(p - 2)*(p + 2)
Determine j, given that 0 + 56/5*j**2 - 2/5*j**5 - 38*j**3 + 192/5*j - 56/5*j**4 = 0.
-24, -4, -1, 0, 1
Suppose 3219 = -44*k + 3219. Let z(p) be the second derivative of -5/21*p**4 + 0 + 4/21*p**3 - 15*p + 2/35*p**5 + k*p**2. Solve z(o) = 0.
0, 1/2, 2
Let y(b) = -b**2 + 24*b + 6. Let g be y(0). Let w be g + 0 + (-308)/66. Suppose w*l**2 + 6*l**4 + 0*l + 0 + 22/3*l**3 = 0. Calculate l.
-1, -2/9, 0
Let t(s) be the first derivative of -s**3 + 39*s**2 + 731. Solve t(f) = 0 for f.
0, 26
Suppose -60 + 839*i**5 + 234*i**3 - 1671*i**5 - 243*i + 841*i**5 + 192*i**4 - 132*i**2 = 0. What is i?
-20, -1, -1/3, 1
Let s(a) be the first derivative of 5*a**4/4 - 65*a**3/9 - 655*a**2/3 - 280*a + 1510. Factor s(o).
5*(o - 12)*(o + 7)*(3*o + 2)/3
Let r(j) = -j**4 + 4*j**3 - 4*j**2 - 8. Let x(s) = 1. Let b = 0 + 52. Let u be 20/(-6)*(b/10 - -2). Let p(t) = u*x(t) - 3*r(t). Factor p(m).
3*m**2*(m - 2)**2
Let d(q) = q. Let w(z) = z**2 + 6*z - 1. Let b = 120 - 126. Let n(g) = b*d(g) + w(g). Suppose n(y) = 0. What is y?
-1, 1
Suppose -h - 4*h - 128 = 4*q, 0 = 2*h - 5*q + 71. Let s = -17 - h. What is k in -k + 7*k**4 + 7*k**2 - 5*k**3 + 0*k**3 - s*k**4 + 3*k = 0?
-2, -1/4, 0, 1
Let k(g) = -2*g**3 - 38*g**2 - 238*g - 164. Let j(l) = -l**2 + l - 2. Let a(q) = 22*j(q) + k(q). Solve a(o) = 0 for o.
-26, -2
Let w = -5/138 + 1855/414. Find x such that -w + 2/9*x**2 - 16/9*x = 0.
-2, 10
Let 84*u - 10*u**3 + 91*u**4 + 50*u**2 - 22*u**3 - 89*u**4 = 0. Calculate u.
-1, 0, 3, 14
Let l = -2510 - -5021/2. Let c(v) be the first derivative of -l*v**4 + 1/5*v**5 + 0*v**3 - v + 12 + v**2. Factor c(m).
(m - 1)**3*(m + 1)
Let x = 76 - -161. Let k = x - 235. Solve 2/7*v**4 + 0 - 4/7*v - 6/7*v**k + 0*v**3 = 0.
-1, 0, 2
Let p(b) = -3*b**2 + 29*b - 4. Let d be p(9). Let v be d - (7 - 0) - 5. Factor 15/8*m**v + 3/2 - 6*m + 21/8*m**3.
3*(m - 1)*(m + 2)*(7*m - 2)/8
Suppose 4*f + 133454 = 133462. Find q such that 0 - 2*q**3 - q + 5/2*q**f + 1/2*q**4 = 0.
0, 1, 2
Let n(y) be the second derivative of y**7/63 + 14*y**6/9 + 68*y**5/15 - y**4/9 - 137*y**3/9 - 68*y**2/3 + 20*y - 38. Suppose n(g) = 0. Calculate g.
-68, -1, 1
Let j(q) be the third derivative of q**6/360 - 17*q**5/90 + 20*q**4/9 + 400