4 - 45/7. Factor -2*m + b*m**2 + s.
m*(m - 4)/2
Let a(j) be the third derivative of -j**6/900 - 9*j**5/50 - 26*j**4/15 - 308*j**3/45 - 4279*j**2. Factor a(s).
-2*(s + 2)**2*(s + 77)/15
Let g(h) be the first derivative of -h**5/30 - h**4/9 + h**3/9 + 2*h**2/3 + 181*h + 57. Let x(c) be the first derivative of g(c). Let x(y) = 0. What is y?
-2, -1, 1
Let u(n) be the third derivative of n**8/336 + 2*n**7/35 + 7*n**6/24 + n**5/3 - 3*n**4/2 - 16*n**3/3 - 2*n**2 - 109. Let u(b) = 0. Calculate b.
-8, -2, -1, 1
Suppose 1 + 10 = v + 2*s, -5*s + 20 = v. Suppose 0 = v*m - 6*m + 6. Factor 0 + m - 6*a - 2*a**2 + 2*a + 0.
-2*(a - 1)*(a + 3)
Let c(i) be the first derivative of i**4/4 + 208*i**3/3 - 209*i**2/2 - 4503. Determine r, given that c(r) = 0.
-209, 0, 1
Let b(t) be the second derivative of t**7/294 + t**6/210 - 9*t**5/28 - 11*t**4/12 + 260*t**3/21 + 600*t**2/7 - 60*t. Solve b(x) = 0 for x.
-4, -3, 5
Let d be (-1162)/48 + (-2)/(208/39). Let v = -73/3 - d. Factor 1/4*s + 1/2 - v*s**2.
-(s - 2)*(s + 1)/4
Let w(k) be the first derivative of k**4/42 + 38*k**3/21 - 39*k**2/7 - 185*k + 43. Let j(y) be the first derivative of w(y). Let j(z) = 0. Calculate z.
-39, 1
Let r(b) be the second derivative of -10*b**7/49 + 52*b**6/105 + 27*b**5/35 - 34*b**4/21 - 8*b**3/7 + 16*b**2/7 - b + 504. Solve r(v) = 0 for v.
-1, -2/3, 2/5, 1, 2
Let 520/11*s - 74/11*s**3 + 112/11 - 14/11*s**5 + 436/11*s**2 - 116/11*s**4 = 0. Calculate s.
-7, -2, -1, -2/7, 2
Let a(u) = u**2 - 6*u - 38. Let i be a(10). Suppose -1 + 0*m + 4*m - 3*m + 3*m**2 - 3*m - 4*m**i = 0. Calculate m.
-1
Let s(t) be the third derivative of -t**6/300 - 4*t**5/25 - 149*t**4/60 - 42*t**3/5 + 825*t**2. Factor s(x).
-2*(x + 1)*(x + 9)*(x + 14)/5
Suppose 77*w = 26*w + 15708. Let i be 3 - (4 + w/(-20)). Suppose 0 + i*d**3 + 24/5*d**2 + 2/5*d = 0. What is d?
-1/6, 0
Let l be ((-60)/4 - -19)/(((-72)/13)/(-4)). Factor -8 - 2/9*o**3 - l*o**2 - 32/3*o.
-2*(o + 1)*(o + 6)**2/9
Find y, given that -950/7*y**2 + 2/7*y**3 + 5646/7*y - 1206 = 0.
3, 469
Let q be (-26)/(-35) + 23982/(-139895). Factor q + 0*u**2 - 6/7*u + 2/7*u**3.
2*(u - 1)**2*(u + 2)/7
Let n(w) = w**3 + 2*w**2. Let u be n(-2). Let y = 395817/5 - 79163. Suppose u + y*x**3 + 18/5*x + 12/5*x**2 = 0. Calculate x.
-3, 0
Let t(z) = z**2 + 32*z + 12. Let f be t(-30). Let g be 8 + f/(-5 - -13). Factor -1/3*k + 1/6*k**g + 1/6.
(k - 1)**2/6
Let i(k) be the second derivative of -12*k + 1/48*k**4 + 1/4*k**2 + 1/8*k**3 - 3. Factor i(s).
(s + 1)*(s + 2)/4
Let p(d) = -d**3 - 2*d**2 + 17*d + 10. Suppose -16*t - 57 - 23 = 0. Let n be p(t). Solve -2/7*i**3 + n + 1/7*i - 1/7*i**2 = 0.
-1, 0, 1/2
Solve -1/4 - d - d**3 - 1/4*d**4 - 3/2*d**2 = 0.
-1
Find r, given that 3633*r**3 - 3100*r**3 + 45*r**4 + r**5 - 28322*r**2 + 14104*r**3 - 285*r**4 = 0.
0, 2, 119
Suppose 0 = 11*b + 5*d - 20, -43 = 3*b + 4*d - 59. Factor b*g + 1/4*g**2 - 1/4*g**4 + 1/4*g**3 - 1/4*g**5 + 0.
-g**2*(g - 1)*(g + 1)**2/4
Let q = 9345641/183399 - 23960/541. Let x = -1/339 + q. Suppose 0 - 22/3*s**2 + 22/3*s**4 + 4/3*s + x*s**3 - 8*s**5 = 0. Calculate s.
-1, 0, 1/4, 2/3, 1
What is k in -218/9*k + 218/9*k**3 + 2/3*k**4 - 154/9*k**2 + 148/9 = 0?
-37, -1, 2/3, 1
Let s(r) = 9*r + 14. Let m be s(0). Let t = m + -14. Find v, given that -3/4*v**5 + t + 3/4*v**3 + 0*v + 3/4*v**2 - 3/4*v**4 = 0.
-1, 0, 1
Let l be (-15 + 322/7)/(4 - (-9)/(-3)). Let r(v) be the first derivative of -l - 2/3*v**3 + v**2 + 2/5*v**5 - 1/2*v**4 + 0*v. Find i, given that r(i) = 0.
-1, 0, 1
Let v(r) be the second derivative of 0*r**2 - 4 - 1/120*r**5 + 0*r**3 - 1/72*r**4 + 3*r. Factor v(z).
-z**2*(z + 1)/6
Factor -1653*l - 1682 + 231/8*l**2 - 1/8*l**3.
-(l - 116)**2*(l + 1)/8
Let z = 119467667/4800042 + 5/533338. Solve 0 - z*o**2 - 98/9*o + 2/3*o**5 + 80/9*o**4 + 236/9*o**3 = 0 for o.
-7, -1/3, 0, 1
Let m = 2213 + -33167/15. Let v = m - 23/15. Let 0 - 5/3*d + v*d**2 = 0. What is d?
0, 5
Let k(q) = -6*q**3 + q**2 + 2*q. Let l(n) = 47*n**3 - 641*n**2 + 1253*n - 635. Let i(j) = 8*k(j) + l(j). Factor i(h).
-(h - 1)**2*(h + 635)
Let b be 17/(-527) - (-126)/(-124)*-2. Determine n, given that -104/9*n - 1352/9 - 2/9*n**b = 0.
-26
Let z(q) be the first derivative of q**6/2 - 23*q**5/5 + 31*q**4/2 - 68*q**3/3 + 12*q**2 + 458. Determine v so that z(v) = 0.
0, 2/3, 2, 3
Let b(m) be the second derivative of m**5/130 - m**4/26 - 16*m**3/39 + 48*m**2/13 - 2077*m. Factor b(c).
2*(c - 4)*(c - 3)*(c + 4)/13
Let x(g) = -2*g**3 + 43*g**2 - 21*g - 40. Let v be x(22). Let o = -982 - v. Solve -10/7*n**3 - 2/7*n**o + 0*n + 0 - 6/7*n**2 + 2/7*n**5 = 0.
-1, 0, 3
Let m(q) be the second derivative of -q**6/240 + q**5/24 + 20*q**2 - 56*q. Let b(h) be the first derivative of m(h). Determine x so that b(x) = 0.
0, 5
Let d be ((-210)/35)/(-3 - 0). Factor 366/5*k**d - 22326/5*k - 2/5*k**3 + 453962/5.
-2*(k - 61)**3/5
Let g(h) be the third derivative of 2*h**7/105 - 19*h**6/3 + 3008*h**5/5 + 95*h**4/3 - 18050*h**3/3 + 3*h**2 + 151*h - 2. Determine l so that g(l) = 0.
-1, 1, 95
Let c(p) be the third derivative of 101*p**2 + p**3 + 11/60*p**5 + 0*p + 0 + 1/60*p**6 + 17/24*p**4. Factor c(y).
(y + 2)*(y + 3)*(2*y + 1)
Let n(u) be the third derivative of u**7/280 - 41*u**6/160 + 27*u**5/8 + 1701*u**4/8 - 9477*u**3 + 2*u**2 - 50. Factor n(b).
3*(b - 18)**3*(b + 13)/4
Suppose 2*w + 8 = 0, -19*k - 2*w + 62 = -14*k. Determine o so that -k*o + 6*o + 5*o - 2*o**2 + 4*o + 2 + 0*o**2 - o**3 = 0.
-2, -1, 1
Let 798/13 - 272/13*j + 2/13*j**2 = 0. Calculate j.
3, 133
Solve -15*x**2 - 5/6*x**4 + 20 + 10/3*x - 15/2*x**3 = 0 for x.
-6, -2, 1
Solve -681/4*a - 85/2*a**2 - 1 = 0 for a.
-4, -1/170
Let l be (30/(-4))/(11/(-22)). Let g be (-2 - -7)*9/l. Factor -17*m**4 + 155*m**3 + 45*m - 210*m**2 - 3*m**4 - 30*m**g.
-5*m*(m - 3)**2*(4*m - 1)
Let l = 0 - 0. Let r = 1/362163 - -2414417/1086489. Solve l*a**4 - r*a**3 + 40/9*a**2 + 8/9 + 2/9*a**5 - 10/3*a = 0 for a.
-4, 1
Let g be (753/6)/(7/(-42)). Let d = g + 755. Find b such that 4/11*b - 2/11 - 2/11*b**d = 0.
1
Let v be (-2*(-19)/(-4) + 0)*-2. Suppose 4*f + v = 3*y, 0 = -4*f + 1 + 7. Solve i**3 - 9*i**3 - 10*i**2 + 2*i**3 - y*i**3 - 5*i**4 = 0 for i.
-2, -1, 0
Let m(j) be the second derivative of -j**6/1080 - j**5/120 - j**4/36 + 8*j**3 + 11*j. Let d(i) be the second derivative of m(i). Suppose d(o) = 0. What is o?
-2, -1
Solve 1270 - 3*u**2 - 60812449*u - 2*u**2 + 60811824*u = 0 for u.
-127, 2
Find i such that 3/5*i**4 - 501/5*i - 39/5*i**3 - 228/5 - 63*i**2 = 0.
-4, -1, 19
Let a be -6*779/(-1230) - (-4)/(-5). Let r(x) be the second derivative of 0 - 2/9*x**a + 7/9*x**2 - 1/54*x**4 - 37*x. Factor r(h).
-2*(h - 1)*(h + 7)/9
Let q(d) be the second derivative of d**7/210 - d**6/360 - d**5/12 + 19*d**4/12 - 3*d - 2. Let s(u) be the third derivative of q(u). Factor s(b).
2*(b - 1)*(6*b + 5)
Let j(q) = q**2 - 2*q. Let m(y) = -2*y**3 + 213*y**2 + 446*y. Let r(g) = 3*j(g) + m(g). Factor r(d).
-2*d*(d - 110)*(d + 2)
Let t(k) be the second derivative of 1024/33*k**3 + 75*k + 32/33*k**4 + 0*k**2 + 1/110*k**5 + 0. Factor t(u).
2*u*(u + 32)**2/11
Suppose 8*d - 42 = -26. Suppose 61*i**3 + 56*i**3 - 2*i**d - 116*i**3 = 0. What is i?
0, 2
Let r(l) be the first derivative of l**4/28 - 262*l**3/21 + 8710*l**2/7 - 33800*l/7 + 7826. Factor r(x).
(x - 130)**2*(x - 2)/7
Factor 2/7*o**3 + 1720/7*o + 116/7*o**2 + 7600/7.
2*(o + 10)**2*(o + 38)/7
Let b(p) be the first derivative of 35/12*p**4 - 95/6*p**3 + 2*p - 2 - 15*p**2. Let l(m) be the first derivative of b(m). Factor l(w).
5*(w - 3)*(7*w + 2)
Solve -6*j + 32/5 - 2/5*j**2 = 0 for j.
-16, 1
Let y(u) = -10*u**2 + 172*u - 6. Let w(l) = 16*l**2 - 344*l + 10. Let d(z) = 6*w(z) + 10*y(z). Suppose d(k) = 0. What is k?
-86, 0
Suppose 87 + 48 = 36*v - 9*v. Let b(z) be the third derivative of 0 + 3/8*z**4 - 27/4*z**3 + 0*z + 9*z**2 - 1/120*z**v. Factor b(a).
-(a - 9)**2/2
Factor -62 - 18 - 63*w**3 - 850*w - 57029*w**2 + 178*w**3 + 57844*w**2.
5*(w - 1)*(w + 8)*(23*w + 2)
Let d = -5200 + 5202. Factor 12*x - 5 + 75/4*x**d + 7/4*x**3.
(x + 1)*(x + 10)*(7*x - 2)/4
Suppose 5*p - 2*i = 21, 0 = -5*p + i + 4 + 14. Suppose 36 = 13*m - p. Determine t, given that 1072*t**3 - 1070*t**3 + m + 12*t**2 + 13 + 24*t = 0.
-2
Let j = 613058 + -2452145/4. Factor 183/4*s + 93/4 - 3/4*s**3 + j*s**2.
-3*(s - 31)*(s + 1)**2/4
Factor 424 + 192/5*q - 2/