 + 18 = 0.
-18, -1
Let l(h) be the third derivative of h**8/168 + 13*h**7/35 + 19*h**6/30 + 2*h**2 + 258*h. Factor l(j).
2*j**3*(j + 1)*(j + 38)
Let m be (-29)/(-2) + 3/18 + (-13 - -5). Solve -m*n**2 - 7/3*n**4 + 0 - 26/3*n**3 + 8/3*n = 0.
-2, 0, 2/7
Let h(f) = f**2 - f + 9. Let b(x) = 25*x**2 + 45*x - 10. Let y(a) = b(a) - 30*h(a). Determine p so that y(p) = 0.
7, 8
Factor 333*d + 233*d - 158*d + 205 - 4*d**2 + 1055.
-4*(d - 105)*(d + 3)
Let b(c) be the third derivative of c**6/420 - 23*c**5/105 + 89*c**4/84 - 44*c**3/21 - 552*c**2. Factor b(g).
2*(g - 44)*(g - 1)**2/7
Let w(i) = 8*i**3 + 2*i - 2. Let g be w(1). Let f be 1 - (-2)/((-4)/g*4). Find y such that 3*y + f - 9/2*y**2 + 3/2*y**3 = 0.
0, 1, 2
Suppose -1415*d + 1394*d - 9 = -72. Let m = -10 - -14. Factor 2/5*q - 8/5*q**m + 0 + 18/5*q**d - 12/5*q**2.
-2*q*(q - 1)**2*(4*q - 1)/5
Suppose -5*z + 2*n = -1964 + 1052, z + 3*n = 162. Solve -2/5*i**3 + z - 114*i + 64/5*i**2 = 0.
2, 15
Let m = 3919/58830 - -1/19610. Let s(t) be the second derivative of m*t**2 - 19*t + 0*t**3 + 0 - 1/90*t**4. Suppose s(i) = 0. Calculate i.
-1, 1
Let z = 466003/20 - 23300. Let v(m) be the third derivative of -6*m**3 + z*m**6 + 9/20*m**5 - 1/2*m**4 - 1 + 0*m - 6*m**2 + 1/70*m**7. Solve v(b) = 0 for b.
-3, -2, 1
Let a(g) be the third derivative of g**6/450 - 11*g**5/30 - 79*g**3/3 + 95*g**2 + 3*g. Let u(r) be the first derivative of a(r). Factor u(y).
4*y*(y - 55)/5
Let m(q) be the second derivative of -q**6/120 + 17*q**5/20 - 289*q**4/8 - q**3/6 - q**2 + 3*q + 1. Let i(r) be the second derivative of m(r). Solve i(w) = 0.
17
Let p be ((-17)/(2295/(-130)) - 1)/((-3)/9). Let n(g) be the first derivative of -p*g**3 + 0*g + g**2 + 29. Solve n(s) = 0.
0, 6
Let s(b) = -b**5 - b**2 - b - 7. Let i(a) = 2*a**5 + 38*a**3 + 16*a**2 - 140*a + 28. Let o(j) = -i(j) - 4*s(j). Suppose o(n) = 0. What is n?
-3, 0, 2, 4
Let o(h) = -h**2 - 2*h + 2. Let f be o(-2). Suppose n - f = 1. Factor -1/11*v**2 + 0 + 1/11*v**n - 1/11*v + 1/11*v**4.
v*(v - 1)*(v + 1)**2/11
Let j(q) be the second derivative of q**5/30 - 77*q**4/18 + 74*q**3/9 + 152*q**2/3 + 2*q + 456. Solve j(z) = 0.
-1, 2, 76
Let f(t) be the first derivative of -10/21*t**3 + 10/7*t - 1/14*t**4 + 1/7*t**2 + 199. Determine p, given that f(p) = 0.
-5, -1, 1
Let u be (-4)/2*(-4 - (-3 + 1)). Let n be ((112/(-70))/(u/10))/(-2). Solve 2*m**5 + 46/5*m**4 + 16/5 - 62/5*m**2 - 4*m + n*m**3 = 0.
-4, -1, 2/5, 1
Let x(h) = 10*h + 106. Let t be x(-9). Factor -30*i**2 - 11*i**4 - 7*i**4 + t*i**4 - 14*i**3 - 8 - 26*i.
-2*(i + 1)**3*(i + 4)
Factor 1088/3*c - 1/3*c**2 + 363.
-(c - 1089)*(c + 1)/3
Let v(a) be the third derivative of -a**7/840 + a**6/360 + a**5/30 - a**4/6 - 43*a**3/6 - 2*a**2 + 3. Let y(p) be the first derivative of v(p). Factor y(k).
-(k - 2)*(k - 1)*(k + 2)
Let c = 19 - -9. Suppose -5*j = -c - 47. Determine l, given that 30*l + l**2 - 6 - j*l - 14*l = 0.
-3, 2
Suppose 6*w = -0*w + 102. Factor -4*i**2 + 16*i**2 + w*i**3 - 10*i**2 - 17*i - 2.
(i - 1)*(i + 1)*(17*i + 2)
Let h = -547267/2 + 273638. Factor -h + 3/4*a**4 - 9/4*a**2 - 33/4*a + 9/4*a**3.
3*(a - 2)*(a + 1)**2*(a + 3)/4
Let a(n) be the first derivative of 4*n**3/3 + 338*n**2 - 1368*n - 134. Factor a(q).
4*(q - 2)*(q + 171)
Let x(k) = -2*k**4 + 5*k**3 - k**2 - 5*k + 1. Let y = -242 - -243. Let b(d) = -d**4 + d**3 + d + 1. Let g(t) = y*b(t) - x(t). Factor g(a).
a*(a - 3)*(a - 2)*(a + 1)
Let o(d) = -9*d - 200. Let k be o(-23). Determine c so that -1970*c + k*c**2 - 10 - 2*c**2 + 1965*c = 0.
-1, 2
Let k(z) be the first derivative of 0*z - 2/7*z**2 - 4/21*z**3 - 202. Factor k(v).
-4*v*(v + 1)/7
Let h = -5 - -5. Suppose k = 5, 0 = -4*z - h*z + 4*k - 12. Let 0*o**2 - o**z + 13*o - 5*o + 0*o**2 = 0. What is o?
0, 8
Let m(n) = -n**3 + 22*n**2 - 36*n + 180. Let z be m(20). Let k = z - 258. Factor -1/2*o**k - 1/2*o**3 + 2*o + 2.
-(o - 2)*(o + 1)*(o + 2)/2
Let j = 460729/35 + -65817/5. Factor j*g**4 + 0*g**2 - 4/7*g**3 - 2/7 + 4/7*g.
2*(g - 1)**3*(g + 1)/7
Let n be (-2280)/24320 - 12/(-128). Determine g, given that 0 - 2/3*g**2 + n*g + 2/15*g**3 = 0.
0, 5
Let u be (-9 - -12)/((-6)/(-10)). Let z be (3/u)/(39/130). Let -x**z - 5*x**3 + 2*x**3 - 2*x**2 = 0. What is x?
-1, 0
Suppose -5*s = 4*k - 44, -5*k - 9091 = s - 9125. Let b(u) be the second derivative of 25*u + 27*u**5 - 1 - 3*u**2 - 19/2*u**3 - 3*u**s. Factor b(o).
3*(5*o - 2)*(6*o + 1)**2
Factor -1612*a**2 + 2*a**3 - 62*a**2 - 35*a**3 + 34*a**3.
a**2*(a - 1674)
Let v(n) be the third derivative of -n**5/60 + 3*n**4/2 - 35*n**3/6 + n**2 - 1399*n. Factor v(w).
-(w - 35)*(w - 1)
Let k(y) be the second derivative of -y**4/12 + 1282*y**3/3 - 821762*y**2 - y - 76. Let k(n) = 0. Calculate n.
1282
Suppose 621 = 13*l - 40*l. Let m = -19 - l. Solve 1/3*h**m - 1/3*h**2 + 1/3*h**3 + 0 - 1/3*h**5 + 0*h = 0.
-1, 0, 1
Determine w so that -1/6*w**4 - 11/6*w**3 + 4 + 11/6*w - 23/6*w**2 = 0.
-8, -3, -1, 1
Let 547/2*j**2 + 63/2*j**3 - 1/2*j**4 + 1473/2*j + 639 = 0. Calculate j.
-3, -2, 71
Let m(b) be the first derivative of -3*b**5/20 + 495*b**4 - 653400*b**3 + 431244000*b**2 - 142310520000*b - 1041. Factor m(y).
-3*(y - 660)**4/4
Let k be (2/3)/(2/153). Let g(h) be the third derivative of -h**5/60 - h**3/3 + 13*h**2. Let r(f) = -9*f**2 - 17. Let d(p) = k*g(p) - 6*r(p). Factor d(s).
3*s**2
Let q(f) = f**3 - 9*f**2 + 16*f - 8. Let a be q(7). Let k be (a/135)/((-5)/(-25)). Factor k*c**5 + 0 + 2/3*c**3 + 0*c + 2/3*c**4 + 2/9*c**2.
2*c**2*(c + 1)**3/9
Factor 0 - 2/7*i**4 + 48/7*i**3 + 324/7*i - 234/7*i**2.
-2*i*(i - 18)*(i - 3)**2/7
Let d(g) = 3*g**2 - 112*g + 21168. Let p(j) = -j**2 + 21*j - 7056. Let q(b) = -3*d(b) - 8*p(b). Factor q(r).
-(r - 84)**2
Suppose -4*a = -4*m + 16, 0*a + a = -1. Suppose 0 = -14*c + m*c + 33. Solve 0*r**2 - 14*r**2 - 94*r**3 - 6*r + 84*r**c - 2*r**4 = 0.
-3, -1, 0
Suppose 10 = 6*m - 14. Let s = 8 + -5. Solve -3 + 3 - m*b**s - 4*b**2 - 8*b - 8*b**2 = 0 for b.
-2, -1, 0
Let f(m) = m**2 + 150 + m - 150. Let q(p) = -4*p**2 + 2*p + 8. Let i be 3 + -5 - -9 - 1. Let l(j) = i*f(j) + q(j). Solve l(v) = 0 for v.
-2
Let j = -348 + 351. Solve m**j + 31*m**2 - 62*m**2 + 143*m + 6*m**2 + 169 = 0.
-1, 13
Let m(l) be the first derivative of -3/2*l**2 - 24/7*l + 55 + 1/7*l**3. Factor m(a).
3*(a - 8)*(a + 1)/7
Let b be (-2)/4*(997 + -84). Let q = 461 + b. Factor q + 3*p - 3/2*p**2.
-3*(p - 3)*(p + 1)/2
Let b be (-3591)/(-11286) - 8/(-44). Factor 11/2*z**2 + 0 + b*z**3 - 6*z.
z*(z - 1)*(z + 12)/2
Let n(y) = -44*y**4 + 1355*y**3 - 1314*y**2 - 2778*y - 13. Let o(k) = -7*k**4 + 226*k**3 - 219*k**2 - 462*k - 2. Let x(i) = 2*n(i) - 13*o(i). Solve x(u) = 0.
-1, 0, 2, 75
Let o(h) = h**2 - 4*h - 47. Let p be o(-6). Suppose -p*q - 4*q = -187. Factor -5*t**2 - q*t - 10 + 7*t - 2*t + 21*t.
-5*(t - 2)*(t - 1)
Let m(z) be the second derivative of z**7/84 + z**6/30 - 57*z**5/20 + 27*z**4 - 477*z**3/4 + 567*z**2/2 + 1943*z. Solve m(n) = 0 for n.
-14, 3
Let v(t) be the second derivative of t**6/120 + 3*t**5/5 + 18*t**4 + 29*t**3/6 + 4*t - 4. Let x(b) be the second derivative of v(b). Let x(a) = 0. Calculate a.
-12
Let j be (-48835)/19534*((-8)/(-6))/(25/(-1)). Let -j*n**2 - 54/5 - 12/5*n = 0. Calculate n.
-9
Let u(f) be the second derivative of -f**8/13440 + f**7/1680 - f**6/720 + f**4/4 + 5*f**2 - 7*f - 18. Let a(o) be the third derivative of u(o). Factor a(j).
-j*(j - 2)*(j - 1)/2
Find u such that 316/7*u**2 - 4/7*u**4 - 80/7*u**3 + 2/7*u**5 - 114/7*u - 72 = 0.
-7, -1, 3, 4
Let y = -181121 - -181125. Suppose -2/3*z**5 + 4/3*z**3 - 4/3*z**2 + 2/3 - 2/3*z + 2/3*z**y = 0. Calculate z.
-1, 1
Let q = -5343 - -10687/2. Let c(i) be the second derivative of -1/10*i**5 - 36*i + 3*i**2 + 0 - q*i**4 + 1/3*i**3. Factor c(z).
-2*(z - 1)*(z + 1)*(z + 3)
Let n(k) be the third derivative of -k**6/60 - 12*k**5/5 - 35*k**4/3 + 862*k**2. Determine m, given that n(m) = 0.
-70, -2, 0
Let m(d) be the first derivative of 2*d**5/5 - 2*d**4 + 10*d**3/3 - 2*d**2 - 102. Solve m(i) = 0 for i.
0, 1, 2
Let p = -3277 - -3280. Let m(s) be the first derivative of -p + 3/2*s**2 + 3*s - 2*s**3. Let m(o) = 0. Calculate o.
-1/2, 1
Suppose -4*h + f = -0*f + 13, -5*h - 5 = f. Let m be 9/h*24/(-36). Factor -363*i - 2*i**2 + 2 + 0*i**m + i**3 + 362*i.
(i - 2)*(i - 1)*(i + 1)
Let j(m) be the second derivative of m**5/15 + m**4/6 - 8*m**3 + 51*m**