, 5
Let l = 251658307/53754 + 1/17918. Factor -530/3*v - l - 5/3*v**2.
-5*(v + 53)**2/3
Let t(u) = -10*u**3 - 80*u**2 - 3*u + 2. Let l be t(-8). Let h(z) be the first derivative of l - 1/2*z + z**2 - 1/2*z**3. Let h(y) = 0. Calculate y.
1/3, 1
Let p(m) be the third derivative of -m**5/420 - 5*m**4/21 - 24*m**3/7 + 38*m**2 + 27. Let p(r) = 0. Calculate r.
-36, -4
Suppose -i + 2 = -4*x - 4, 4*x = 12. Let z be 4/i - 70/(-9). Let 3*v**4 + v**2 + z*v**2 + 9*v**3 - v - v + 5*v = 0. Calculate v.
-1, 0
Let l = -57 - -59. What is o in 52 + l*o**3 - 28 - 28 - 8*o**2 + 10*o = 0?
1, 2
Let s(m) be the second derivative of -m**4/36 - 6*m**3 + 110*m**2/3 - 5970*m. Factor s(o).
-(o - 2)*(o + 110)/3
Suppose -f + 2 = 3*w, w = 23*f - 27*f + 8. Let n(a) be the third derivative of -5/2*a**5 + 0 + w*a - 7*a**2 - 15/4*a**4 - 9/4*a**3. Let n(o) = 0. What is o?
-3/10
Suppose 40*x + 4 = 42*x. Factor -k + k**4 + 2*k**4 - 2 - 3*k**2 + 3*k**3 + 4*k**x - 2*k**4 - 2*k.
(k - 1)*(k + 1)**2*(k + 2)
Let g be ((-197)/(-7092))/((-10)/(-3)). Let z(k) be the third derivative of 0*k**4 + 10*k**2 + g*k**6 + 0*k**3 + 0 + 1/60*k**5 + 0*k. Factor z(q).
q**2*(q + 1)
Let j(k) be the second derivative of -2/7*k**2 - 1/3*k**3 + 1/21*k**4 + 1/10*k**5 + 2*k - 3. Factor j(z).
2*(z - 1)*(z + 1)*(7*z + 2)/7
Factor -27/5*b**3 - 243/5*b**2 + 2187/5*b + 3/5*b**4 + 0.
3*b*(b - 9)**2*(b + 9)/5
Let a(w) be the first derivative of -1/3*w**3 - 7*w + 4*w**2 + 14. Factor a(r).
-(r - 7)*(r - 1)
Let o = 6167057/2522898 - -3/280322. Suppose -o*k + 0 + 8/3*k**2 - 2/9*k**3 = 0. Calculate k.
0, 1, 11
Let s(o) be the first derivative of 0*o + 4/15*o**3 - 2/5*o**2 + 89. Determine i, given that s(i) = 0.
0, 1
Suppose -9 - 7 = -3*c + 5*h, -2*c - h + 2 = 0. Factor 158*b - 44*b**c + 4*b**3 + 34*b - 30 - 98 - 4*b**2 - 48*b.
4*(b - 8)*(b - 2)**2
Let s be (-2)/(-4)*21*(112 - 36754/329). Solve 0 + 5*b**2 - 5/6*b**4 + 0*b - 5/6*b**s = 0.
-3, 0, 2
Suppose 0 = 4*k + 2*u - 3286, -13*k + 12*k + 808 = 5*u. Let p = k + -2455/3. Solve p*l**3 + 0 - 2*l**4 + 0*l - 4/3*l**2 = 0 for l.
0, 1/3, 2
Let i(s) be the second derivative of -s**5/16 + 49*s**4/12 + 371*s**3/24 - 41*s**2/4 - 4322*s. Factor i(u).
-(u - 41)*(u + 2)*(5*u - 1)/4
Let s = -20 - 105. Let v = s - -136. Factor v - 16 + l**4 + 5 - 2*l**3 + l**2.
l**2*(l - 1)**2
Let t be (-1150)/(-12) - (-22)/132. Let b be t/(-340) - (-2 - 8/(-5)). Let 6/17*c - b*c**3 + 0*c**2 - 4/17 = 0. Calculate c.
-2, 1
Let w(i) = 5*i**3 + 4*i**2 - 2. Let f(o) = 57*o**3 + 46*o**2 - 23. Let h(j) = 2*f(j) - 23*w(j). Factor h(p).
-p**3
Let s = 50/3 - 802/51. Let n be (36/(-78))/((-1173)/4784). Suppose n + s*y + 2/17*y**2 = 0. Calculate y.
-4
Let k(l) be the third derivative of l**6/360 - l**5/10 + 5*l**4/6 - 59*l**3/3 - 44*l**2. Let h(v) be the first derivative of k(v). Solve h(z) = 0 for z.
2, 10
Suppose 2134 + 2865 = 3724*a - 8818 - 1079. Find y, given that -24/7*y + 0 - 10/7*y**3 - 4*y**2 - 1/7*y**a = 0.
-6, -2, 0
Let r = -5 + 8. Suppose 9*c = -4*c + 39. Factor c*f**3 + 3*f**3 - 4 - 7*f + r*f + 4*f**2 - 2*f**3.
4*(f - 1)*(f + 1)**2
Let x(t) = t**2 + 13*t + 25. Let g = 78 + -89. Let a be x(g). Factor -236*k**a - 233*k**3 - 8*k**2 + 32*k + 457*k**3.
-4*k*(k + 2)*(3*k - 4)
Suppose 0 = 2*t + 4*x - 28, -2*t = -5*x + 23 - 24. Let 10*i**2 - 7*i**3 - 5*i**3 + t + 16*i - 5*i**3 + 19*i**3 = 0. Calculate i.
-2, -1
Let f(x) be the second derivative of 5*x**4/12 + 1765*x**3/6 - 1775*x**2 - 2638*x. Factor f(u).
5*(u - 2)*(u + 355)
Let d(o) be the first derivative of -o**3/6 + 19*o**2/4 - 35*o + 3903. Determine v, given that d(v) = 0.
5, 14
Let m(r) = r**3 + 10*r**2 - 21*r + 16. Let j(v) = 26*v**3 + 22*v**3 - 1 - 47*v**3 + v**2. Let i(o) = 10*j(o) - 5*m(o). Factor i(z).
5*(z - 3)**2*(z - 2)
Suppose -297*d**4 - 840*d - 2136*d**3 + 606*d**5 - 1748*d**2 - 600*d**5 - 925*d**2 = 0. What is d?
-5, -1, -1/2, 0, 56
Suppose 1474245 - 578*s**2 - 560*s**2 - 561*s**2 - 5430*s + 1704*s**2 = 0. Calculate s.
543
Let b be (-1650)/(-20) - (-5)/(-2). Suppose -h - 5*d - b = -6*h, -5*d + 16 = h. What is n in -98*n**2 - h + 94*n**2 + 24*n - 16 = 0?
2, 4
Let p be 91 + -76 - (13 + 119/63). Factor -7*f + 64/9 - p*f**2.
-(f - 1)*(f + 64)/9
Let l = 36395 + -36393. Let m(u) be the third derivative of -7*u**l + 0 - 5/6*u**4 + 3*u - 4*u**3 + 1/15*u**5. Factor m(k).
4*(k - 6)*(k + 1)
Let b(v) be the second derivative of 17*v**3 + 0 + 1/4*v**4 + 57*v + 867/2*v**2. Let b(f) = 0. What is f?
-17
Factor 26*i**2 - 481*i**3 + 8*i**2 + 5*i + 2*i**4 + 15*i + 497*i**3.
2*i*(i + 1)*(i + 2)*(i + 5)
Let o(r) be the first derivative of -r**6/480 + r**5/80 - r**4/32 + r**3/3 - 16*r - 55. Let g(i) be the third derivative of o(i). Let g(w) = 0. Calculate w.
1
Let n(u) be the second derivative of -u**5/10 + 41*u**4/18 - 26*u**3/9 - 3*u - 48. Factor n(s).
-2*s*(s - 13)*(3*s - 2)/3
Let t(y) be the third derivative of 121*y**8/84 + 1606*y**7/105 + 211*y**6/15 - 236*y**5/15 + 4*y**4 + y**2 + 543*y. Find r such that t(r) = 0.
-6, -1, 0, 2/11
Let k = 2385 + -2379. Let r(t) be the first derivative of 0*t + 0*t**3 + 0*t**5 + 0*t**4 + 27 + 0*t**2 + 1/9*t**k. Find d, given that r(d) = 0.
0
Let n = -624 + 626. Let 5*x**2 - 27*x**3 + 14*x**2 + 7 + 17 + 56*x**n + x**4 + 3*x - 76*x = 0. Calculate x.
1, 24
Let r(q) be the first derivative of -2*q**3/9 - 149*q**2/3 - 1203. Factor r(c).
-2*c*(c + 149)/3
Suppose q = -3*q - 12, v + 2*q = 1299. Find o, given that -3*o**5 - 177*o**4 - 5478*o - 2352 - 1746*o + v*o**3 - 7563*o**2 - 2815*o**3 - 1355*o**3 = 0.
-28, -1
Let o(w) be the third derivative of w**7/140 - 7*w**6/80 - 3*w**5/5 + 37*w**4/4 - 40*w**3 + 202*w**2 - 6. Let o(x) = 0. What is x?
-5, 2, 8
Suppose -7*v = -5*v - 50. Let u = -13 + v. Factor -u*w**2 - 13*w**3 + 3 - 16*w + 29*w**3 - 4*w**4 + 13.
-4*(w - 2)**2*(w - 1)*(w + 1)
Let w(f) be the second derivative of f**5/80 + 1089*f**4/8 + 1185921*f**3/2 + 1291467969*f**2 - 785*f + 1. Factor w(h).
(h + 2178)**3/4
Let z(g) be the third derivative of g**6/40 + 243*g**5/20 + 14883*g**4/8 + 14641*g**3/2 + 942*g**2. Suppose z(s) = 0. Calculate s.
-121, -1
Let c(s) = -5*s**3 - 6*s**2 - 15*s + 2. Let g(i) = 11*i**3 + 11*i**2 + 31*i - 6. Let q(b) = -7*c(b) - 3*g(b). Find v such that q(v) = 0.
-2, -1/2
Let y(i) be the first derivative of 0*i**3 + 1/40*i**6 - 1/70*i**7 + 7*i**2 + 0*i**5 + 0*i**4 + 3 + 0*i. Let o(a) be the second derivative of y(a). Factor o(g).
-3*g**3*(g - 1)
Let y(s) be the third derivative of 0*s**3 - 1/5*s**5 - 5/12*s**4 - 3/100*s**6 - 54*s**2 + 0*s - 2. Solve y(h) = 0.
-5/3, 0
Factor -12/5 - 44/5*g - g**2 + 7/5*g**3.
(g - 3)*(g + 2)*(7*g + 2)/5
Let k(d) = -24*d + 316. Let r be k(13). Suppose 3/2*p**3 - p - 1/2*p**5 + 1/2*p**2 + 0 - 1/2*p**r = 0. Calculate p.
-2, -1, 0, 1
Let k(t) be the first derivative of -22 + 0*t - 2/3*t**2 - 1/9*t**3. Factor k(o).
-o*(o + 4)/3
Let k(q) = -q**3 - 144*q**2 + 28*q + 304. Let z(x) = x**3 + 195*x**2 - 37*x - 406. Let y(w) = 11*k(w) + 8*z(w). Factor y(n).
-3*(n - 2)*(n + 2)*(n + 8)
Let i(w) be the third derivative of -w**7/42 - 11*w**6/24 + 7*w**5/6 + 5*w**4 - w**2 + 55. Factor i(l).
-5*l*(l - 2)*(l + 1)*(l + 12)
Let n(y) = y**2 + 7*y + 10. Let t be n(-5). Suppose -3*r = -4*z - 17, 58 = -r + 5*z + 71. Factor -1/5*h**4 + 0*h + 0*h**r + t*h**2 + 0.
-h**4/5
Suppose -1782*k + 102*k + 82*k**2 - 5224 - 4184 - 3*k**3 + 74*k**2 = 0. What is k?
-4, 28
Let g(y) be the second derivative of 10*y**4 + 18*y**2 + 12/5*y**5 + 2/15*y**6 + 0 + 37*y + 56/3*y**3. Factor g(p).
4*(p + 1)**3*(p + 9)
Let d(b) be the third derivative of -b**8/1008 + b**7/30 + 31*b**6/90 + 8*b**5/9 - 4*b**4/3 - 104*b**3/9 - 14*b**2 - 130*b. Factor d(r).
-(r - 26)*(r - 1)*(r + 2)**3/3
Factor -29/3*a**3 + 0*a + 4/3*a**4 + 7/3*a**2 + 0.
a**2*(a - 7)*(4*a - 1)/3
Let h = -22556 - -22560. Let d(u) be the third derivative of 0 + 1/16*u**h + 1/240*u**6 + 12*u**2 + 0*u + 1/30*u**5 + 0*u**3. Factor d(k).
k*(k + 1)*(k + 3)/2
Suppose -11 = -4*x + 5*h + 230, 3*h = -2*x + 115. Suppose -43*f**4 + 10*f**4 + 69*f**3 + 5*f**4 - 6*f**5 - x*f**3 = 0. What is f?
-5, 0, 1/3
Let s be (8/75)/(39/(-390))*18/(-4). Let f(o) be the first derivative of s*o + 6/5*o**3 - 4 - 3/20*o**4 - 18/5*o**2. Factor f(q).
-3*(q - 2)**3/5
Suppose 72*y**3 + 890*y**4 - 447*y**2 - 893*y**4 - 78*y**2 + 306*y + 150*y**2 = 0. Calculate y.
0, 1, 6, 17
Let -17/2*z + 145/4 + 