 156 - 157 = -316. Let y(b) be the first derivative of 7/24*b**4 + 13/9*b**n + 5/3*b - 43/12*b**2 + 41. Factor y(v).
(v - 1)*(v + 5)*(7*v - 2)/6
Determine z so that 7625016/5*z + 296*z**3 - 4/5*z**4 - 183024/5*z**2 - 7443468/5 = 0.
1, 123
Factor -363*x**3 - 116/3 - 10571*x**2 - 3832/3*x.
-(x + 29)*(33*x + 2)**2/3
Let f be 6/21*(18/(-4))/(-9). Let j be (-28)/21*(-6)/4. Solve -6/7*k - f - 5/7*k**j = 0 for k.
-1, -1/5
Factor 0 - 24*r**4 + 345/7*r**3 - 174/7*r**2 - 3/7*r**5 + 0*r.
-3*r**2*(r - 1)**2*(r + 58)/7
Let z(h) be the first derivative of h**6/9 + 22*h**5/15 + 13*h**4/3 + 32*h**3/9 - 1626. Let z(c) = 0. Calculate c.
-8, -2, -1, 0
Let f(i) = -3*i**2 + 45*i + 650. Let m be f(-9). Determine t, given that 0 + 2/9*t**2 - m*t = 0.
0, 9
Let a(m) be the third derivative of 1/168*m**7 - 1/48*m**5 + 0*m + 5/12*m**4 - 1/12*m**6 + 0*m**3 + 0 - 27*m**2. Factor a(i).
5*i*(i - 8)*(i - 1)*(i + 1)/4
Determine v so that 85/3*v**4 - 2000*v**2 - 1920*v - 160/3*v**3 + 0 + 5/3*v**5 = 0.
-12, -1, 0, 8
Factor 34 - 121/2*k - 1/4*k**4 + 8*k**3 + 75/4*k**2.
-(k - 34)*(k - 1)**2*(k + 4)/4
Suppose -6*o + 568 = 82. Let v be 2 + o/(-45) - 46/(-70). Factor 6/7*m**2 - 9/7*m**3 + 9/7*m - v.
-3*(m - 1)*(m + 1)*(3*m - 2)/7
Let r be 21/45 + ((-57)/9 - -6). Let w(b) be the first derivative of -4 + r*b**3 + 0*b + 0*b**2. Factor w(a).
2*a**2/5
Factor -140450/3 + 2/3*s**3 + 139390/3*s + 1058/3*s**2.
2*(s - 1)*(s + 265)**2/3
Factor -576/5 + 48/5*y + 3/5*y**2.
3*(y - 8)*(y + 24)/5
Let b(p) be the first derivative of p**4/2 - 3442*p**3/9 + 246533*p**2/3 + 164738*p/3 + 592. Factor b(s).
2*(s - 287)**2*(3*s + 1)/3
Let x = -64458 - -64458. Factor -2/9*z**5 + 16/9*z - 8/9*z**2 - 4/3*z**3 + 10/9*z**4 + x.
-2*z*(z - 2)**3*(z + 1)/9
Let u(d) be the second derivative of -21/2*d**4 - 4 - 3*d - 9261*d**2 + 441*d**3 + 1/10*d**5. Solve u(r) = 0 for r.
21
Let v(s) be the third derivative of 106*s**2 + 0*s + 0 + 13/6*s**5 + 20*s**3 - 1/24*s**6 - 245/24*s**4. Factor v(m).
-5*(m - 24)*(m - 1)**2
Let o(u) be the second derivative of -u**4/3 - 28*u**3/3 + 240*u**2 + 733*u. Let o(x) = 0. Calculate x.
-20, 6
Determine p, given that -67/5*p**2 - 1089/5 + 231*p + 1/5*p**3 = 0.
1, 33
Let z(p) = 82*p**2 + 4665*p + 937. Let n(i) = 55*i**2 + 3110*i + 625. Let a(g) = 7*n(g) - 5*z(g). Suppose a(k) = 0. What is k?
-62, -1/5
Let b(n) be the first derivative of -n**3/24 - 61*n**2/2 + 489*n/8 - 12094. Suppose b(i) = 0. What is i?
-489, 1
Let s(i) be the third derivative of i**5/600 + i**4/120 - 2*i**3/15 - 548*i**2 - 1. Factor s(z).
(z - 2)*(z + 4)/10
Let g be (-3)/(-6)*((-1003)/(-51) - 18). Let r(j) be the first derivative of 6 + 0*j - g*j**6 + 5/4*j**4 + 5/3*j**3 - j**5 + 0*j**2. Solve r(t) = 0 for t.
-1, 0, 1
Factor -85*u**3 + 86*u**2 - 3020*u - u**4 - 2582*u + 5602*u.
-u**2*(u - 1)*(u + 86)
Let h(l) = -2*l**3 + l**2 + 10*l - 1. Let z(v) = -12*v**3 - 28064*v**2 - 28085*v - 7006. Let o(c) = -4*h(c) - z(c). Factor o(n).
5*(n + 1402)*(2*n + 1)**2
Let c(x) = -10*x**5 + 73*x**4 - 17*x**3 - 55*x**2. Let s(o) = -2*o**5 + 18*o**4 - 4*o**3 - 14*o**2. Let g(f) = -2*c(f) + 9*s(f). Factor g(i).
2*i**2*(i - 1)*(i + 1)*(i + 8)
Let o be 448/96*(-18)/(-7). Factor o*y - 16/3 + 4/3*y**3 - 8*y**2.
4*(y - 4)*(y - 1)**2/3
Let t be (-4)/22 - (-134)/11. Suppose t*j - 189 = 171. Factor 66*i**2 + 4*i**4 - 12 - j*i**2 + i - i + 2*i - 30*i**3.
2*(i - 6)*(i - 1)**2*(2*i + 1)
Let b(f) be the second derivative of -f**7/378 - 23*f**6/45 - 497*f**5/20 + 5041*f**4/27 - 5703*f. Factor b(k).
-k**2*(k - 4)*(k + 71)**2/9
Let b = 213 - 211. Let 992*n**2 - 10 + 978*n**2 - 1960*n**2 + b*n**3 - 2*n = 0. Calculate n.
-5, -1, 1
Let u(i) be the third derivative of -i**5/20 + 5*i**4/24 - 3*i**2. Suppose 22*m = 39 + 5. Let z(v) = -v**2 + v. Let g(c) = m*z(c) - u(c). Factor g(n).
n*(n - 3)
Let s(t) be the third derivative of t**7/630 - 61*t**6/90 + 7319*t**5/90 + 2501*t**4/6 + 1681*t**3/2 - 134*t**2 + t + 1. Suppose s(a) = 0. Calculate a.
-1, 123
Suppose 0 = -13*v - v + 42. Let y be -1*(3 - (v + (-20)/(-8))). Find d such that -3/2*d**3 + 3/2*d - 2 - 1/2*d**4 + y*d**2 = 0.
-4, -1, 1
Let t(h) be the second derivative of 11*h**4/78 - 161*h**3/39 + 150*h**2/13 + 3045*h. Suppose t(a) = 0. What is a?
1, 150/11
Let u(o) be the first derivative of 1/21*o**3 + 15/7*o + 156 - 4/7*o**2. Factor u(k).
(k - 5)*(k - 3)/7
Let j(p) be the third derivative of p**5/180 - p**4/36 - 7*p**3/2 - 11*p**2 + p + 51. Factor j(y).
(y - 9)*(y + 7)/3
Suppose 39*r - 10*r**3 + 2*r**3 + 6*r**5 + 24*r - 141*r**4 + 145*r**3 + 190*r**3 - 255*r**2 = 0. What is r?
0, 1/2, 1, 21
Let u(v) be the second derivative of -v**7/28 - 13*v**6/45 - 23*v**5/40 + 3*v**4/4 + 25*v**3/9 - 2*v**2 + 4*v + 15. Find l such that u(l) = 0.
-3, -2, 2/9, 1
Let y(g) be the third derivative of -g**5/60 + 122*g**4/3 - 119072*g**3/3 - 134*g**2 + 11*g. Find i such that y(i) = 0.
488
Let w(z) be the second derivative of 0 + 9/160*z**5 - 1/16*z**6 - 10*z + 3/8*z**4 + 1/4*z**3 + 0*z**2. Let w(g) = 0. What is g?
-1, -2/5, 0, 2
Let 1487/3 + 1983*o + 4/3*o**2 = 0. What is o?
-1487, -1/4
Find o, given that 3*o**5 + 375*o - 745*o + 331*o - 102*o**2 + 36*o**3 + 30*o**4 + 72 = 0.
-8, -3, -1, 1
Factor 225792/11 + 1344/11*j + 2/11*j**2.
2*(j + 336)**2/11
Let r(y) be the first derivative of -40/27*y**3 + 0*y**2 + 1/18*y**4 - 46 + 0*y + 8/9*y**5 - 1/27*y**6. Solve r(z) = 0.
-1, 0, 1, 20
Let q(z) be the second derivative of -z**7/21 + 38*z**6/3 - 4699*z**5/5 + 17764*z**4/3 - 14539*z**3 + 17298*z**2 + 4195*z. Suppose q(f) = 0. Calculate f.
1, 2, 93
Let y be (3625/(-2175))/((20/18)/(-2)). Let t(c) be the second derivative of 1/20*c**5 + 0*c**2 - 1/6*c**y - 1/12*c**6 - 31*c + 5/24*c**4 + 0. Factor t(b).
-b*(b - 1)*(b + 1)*(5*b - 2)/2
Let v(m) = -4*m - 2. Let s(g) = -10*g - 6. Let k(j) = 3*s(j) - 8*v(j). Let i be k(4). Factor -204*c + 98*c + 109*c + 15*c**3 - 6*c**2 - 6*c**2 - i*c**4.
-3*c*(c - 1)**2*(2*c - 1)
Let d(b) be the second derivative of -2592*b**2 - 76*b - 3/20*b**5 + 0 - 9*b**4 - 216*b**3. Suppose d(o) = 0. What is o?
-12
Let s(g) = 7*g**3 + 135*g**2 - 2419*g + 7117. Let j(y) = 5*y**3 + 90*y**2 - 1615*y + 4745. Let f(r) = 8*j(r) - 5*s(r). Factor f(p).
5*(p - 5)**2*(p + 19)
Let z(x) be the first derivative of -x**3 - 15*x**2 - 48*x - 6397. Suppose z(o) = 0. What is o?
-8, -2
Suppose -5*u + 78 = 5*b + 398, -5*b + 350 = -5*u. Let x = 91 + u. Factor 72*z - 22*z**3 - 18*z**4 + 0*z**5 + 2*z**5 - x*z**2 + 22*z**4.
2*z*(z - 2)**2*(z + 3)**2
Determine p, given that 13*p**2 + 32 + 2/3*p**3 + 118/3*p = 0.
-16, -2, -3/2
Let t(p) be the second derivative of -p**4/36 + 41*p**3/9 - 27*p**2/2 + 2*p + 2024. Factor t(h).
-(h - 81)*(h - 1)/3
Suppose 874334 - 874334 = -56*c. Solve -30/11*f**2 + 2/11*f**3 + 0*f + c = 0.
0, 15
Let t(h) be the first derivative of -h**3/8 - 171*h**2/2 - 19494*h - 1145. Suppose t(x) = 0. What is x?
-228
Suppose 82*r - 142*r + 102*r = 126. Factor 0*m + 8 - 1/4*m**r - 3/2*m**2.
-(m - 2)*(m + 4)**2/4
Let f(o) be the first derivative of -1/12*o**4 - 17/6*o**2 + 22/27*o**3 + 4*o - 204. Factor f(a).
-(a - 3)**2*(3*a - 4)/9
Factor 10/7*m**2 + 8/7 + 16/7*m + 2/7*m**3.
2*(m + 1)*(m + 2)**2/7
Suppose 6*w - 224 = 4*w. Let 168 + w*a - 12*a**2 + 48*a + 84*a = 0. Calculate a.
-2/3, 21
Let l(p) be the first derivative of -5/9*p**3 + p**2 + 1/12*p**4 + 0*p + 21. Let l(x) = 0. What is x?
0, 2, 3
Let p be ((21/105)/(1/(-3)))/((-27)/90). Factor -9/2*q**3 - q**2 + p*q + 0 - 11/4*q**4 - 1/2*q**5.
-q*(q + 2)**3*(2*q - 1)/4
Let m(n) be the third derivative of -n**7/210 - 7*n**6/30 - 2932*n**2. Find d such that m(d) = 0.
-28, 0
Suppose 0 = -93*d + 1137 + 1653. Let p(f) = -4*f**2 + 117*f + 90. Let u be p(d). Factor 10/3*c**3 + 0 + 0*c**2 - 5/3*c**5 - 5/3*c + u*c**4.
-5*c*(c - 1)**2*(c + 1)**2/3
Let g(c) be the first derivative of c**3/6 - 27*c**2/4 + 88*c + 176. Factor g(n).
(n - 16)*(n - 11)/2
Factor -14/9*m**3 + 3 - 22/3*m + 1/9*m**4 + 52/9*m**2.
(m - 9)*(m - 3)*(m - 1)**2/9
Let a(i) be the second derivative of -i**6/10 + 3*i**5/4 + 9*i**4 - 54*i**3 - 648*i**2 + 66*i - 58. Factor a(p).
-3*(p - 6)**2*(p + 3)*(p + 4)
Let i(b) be the first derivative of 21*b**4/4 - 1402*b**3 + 105600*b**2 - 60000*b - 864. Factor i(w).
3*(w - 100)**2*(7*w - 2)
Let x(w) be the first derivative of w**5/5 + 15*w**4/8 + 29*w**3/6 + 21*w**2/4 + 5*w/2 + 2372. Let x(s