derivative of -n**4/96 - 995*n**3/24 - 990025*n**2/16 - 3878*n. Factor q(v).
-(v + 995)**2/8
Let k(u) = -u**5 + 5*u**4 - u**2 - 4*u + 3. Let j(p) = 4*p**5 - 19*p**4 - p**3 + 5*p**2 + 16*p - 11. Let l = 263 - 285. Let t(m) = l*k(m) - 6*j(m). Factor t(s).
-2*s*(s - 2)**2*(s + 1)**2
Let h = -28 + 30. Suppose 116*m**4 + 4*m**3 + 41*m**3 - 113*m**4 + 147*m + 40*m**2 + 89*m**h + 60*m**2 = 0. What is m?
-7, -1, 0
Let c be -75*6/(-9) - -2. Let w = -50 + c. Solve -q**2 + 6*q + 6*q + 0*q**2 - 2*q**w = 0.
0, 4
Let l(b) be the second derivative of -b**4/4 + 33*b**3 + 204*b**2 - 2*b + 457. Factor l(y).
-3*(y - 68)*(y + 2)
Let b = 194 + -192. Factor 86*r**3 + 5*r**4 + b*r**5 - 7*r**5 + 87*r**3 - 163*r**3.
-5*r**3*(r - 2)*(r + 1)
Let t(p) be the third derivative of -p**7/42 - 19*p**6/6 - 73*p**5/12 + 125*p**4/4 + 4*p**2 + 2*p. Factor t(l).
-5*l*(l - 1)*(l + 2)*(l + 75)
Let m be (5 + -4)*0/139. Determine s, given that m + 3/2*s**3 + 0*s**2 - 6*s = 0.
-2, 0, 2
Let t(q) be the first derivative of q**2 - 25 + 5/18*q**4 + 7/9*q**3 + 1/30*q**5 - 38*q. Let k(d) be the first derivative of t(d). Factor k(i).
2*(i + 1)**2*(i + 3)/3
Factor -124*a + 233*a + 114*a - 595*a + 79380 - 888*a + 5*a**2.
5*(a - 126)**2
Let l(f) be the third derivative of 0*f + 9 + 2*f**2 - 1/360*f**6 + 0*f**3 + 1/72*f**4 + 0*f**5. Determine m so that l(m) = 0.
-1, 0, 1
Suppose 4 + 8 = -4*g, -3*g + 91 = 4*c. Factor c*l + 93*l - 34*l**2 + 23*l + 7*l - 34*l**2 - 4*l**3 - 76.
-4*(l - 1)**2*(l + 19)
Find v such that -6*v**3 - 609*v**4 + 8*v**3 + 9*v**4 + 502*v**5 + 93*v**5 + 3*v**3 = 0.
0, 1/119, 1
Factor 78*i**3 + 5*i**4 + 73*i**4 + 110*i**3 + 71*i**4 + 111*i**4 - 72*i**2.
4*i**2*(i + 1)*(65*i - 18)
Let x be -1 - 14/(-18) - (-1012)/18. Suppose -25*c + x = 3*c. Factor 2/3 + 1/3*l**c + l.
(l + 1)*(l + 2)/3
Let q(m) be the first derivative of -2*m**3/21 - 37*m**2/7 + 805. Solve q(y) = 0.
-37, 0
Factor -64*x - x**4 + 14*x - 49*x - 60 - 12*x**3 + 7*x - 51*x**2.
-(x + 2)**2*(x + 3)*(x + 5)
Suppose 2*k = 3*p - 42, -6*p - 113*k + 12 = -111*k. Factor 3/4*m**2 + 45/4 + p*m.
3*(m + 3)*(m + 5)/4
Let k(q) be the first derivative of -q**7/210 - q**6/60 - q**5/60 + 35*q**2/2 + 2*q + 220. Let p(f) be the second derivative of k(f). Factor p(o).
-o**2*(o + 1)**2
Let n be 2666/12 - 10/(-30). Let u = 223 - n. Find a such that 0 + u*a**3 + 3/2*a**2 + a = 0.
-2, -1, 0
Let q(n) be the third derivative of n**6/30 - 7*n**5/15 - 35*n**4 + 144*n**3 - 1102*n**2. Factor q(l).
4*(l - 18)*(l - 1)*(l + 12)
Suppose -3*f = -2*h + 20, -6*f = -5*f - h + 8. Let x(d) = 2*d**2 + d - 15. Let z be x(f). Solve -5*l - 6 - 31*l**2 + z*l**2 + 17*l**2 = 0 for l.
-3, -2
Suppose 48 + 12 = 15*c. Factor -4*k**4 + 6*k**c + 8*k - 8 - 153*k**2 + 159*k**2 - 8*k**3.
2*(k - 2)**2*(k - 1)*(k + 1)
Let t(f) be the third derivative of -3*f**7/280 - 103*f**6/160 - 43*f**5/15 - 43*f**4/8 - 16*f**3/3 + 1261*f**2. Solve t(h) = 0 for h.
-32, -1, -2/3
Let a be (58 - 20784/360)*(2 + (-2)/(-4)). Factor -2/3*w - a + 4/3*w**2 - 2/3*w**4 + 4/3*w**3 - 2/3*w**5.
-2*(w - 1)**2*(w + 1)**3/3
Let r(x) be the second derivative of -x**5/30 + 7*x**4/9 - 35*x**3/9 - 50*x**2/3 + 24*x + 31. Let r(p) = 0. Calculate p.
-1, 5, 10
Let i = -36/289 + 721/3468. Let v(l) be the third derivative of 0 - i*l**3 - 37*l**2 + 0*l - 1/240*l**5 + 1/32*l**4. Solve v(x) = 0 for x.
1, 2
Suppose -22*v = -24*v + h + 1, h + 1 = -2*v. Factor -12*u - 376 + v*u**2 - 3*u**2 + 367.
-3*(u + 1)*(u + 3)
Find s such that 1280/7 - 4488/7*s + 4*s**2 = 0.
2/7, 160
Suppose -5690*k - 1155 = -5921*k. Suppose -39/2*p**3 + 50 + 169/2*p**2 + 3/2*p**k + 180*p - 17/2*p**4 = 0. Calculate p.
-2, -1/3, 5
Let m(h) = -3*h**3 - h**2 + h - 2. Let t(s) = 7*s**3 + 37*s**2 + 43*s - 82. Let z(b) = -m(b) - t(b). Factor z(u).
-4*(u - 1)*(u + 3)*(u + 7)
Let c(a) = 2*a**4 - 318*a**3 - 720*a**2 - 400*a. Let r(y) = -3*y**4 + 318*y**3 + 722*y**2 + 401*y. Let i(f) = -7*c(f) - 8*r(f). Solve i(b) = 0.
-6/5, -1, 0, 34
Suppose -v + z + 6 = -0*v, -9 = 3*z. Suppose -v*x + 4*x - 6 = 0. Factor 288 - 2*p**3 - 288 - p + x*p**2 - 3*p.
-2*p*(p - 2)*(p - 1)
Let k(x) = -x**2 + 5*x - 4. Suppose 5*i - 2*z = 25, z + 1 = i - 7. Let h be k(i). Determine r so that -r**3 - 2*r**4 - h*r**4 + 8*r**4 - r**2 - 3*r**4 + r = 0.
-1, 0, 1
Let t(w) be the third derivative of w**7/140 - 53*w**6/80 + 99*w**5/40 + 153*w**4/16 + 3*w**2 + 1471. Factor t(z).
3*z*(z - 51)*(z - 3)*(z + 1)/2
Let p(q) be the first derivative of -6*q**5/5 - 147*q**4/4 - 239*q**3 - 126*q**2 + 324*q - 1484. Solve p(s) = 0 for s.
-18, -6, -1, 1/2
Solve -110*j + 70*j**2 + 425 - 53*j**2 - 12*j**2 = 0 for j.
5, 17
Suppose -2*f - 58 = 3*q - q, -5*q - f = 157. Let l = -28 - q. Suppose 2*n**l + 25*n**3 - 8*n**5 + 8*n - 25*n**3 + 40*n**2 - 12*n**4 + 30*n**3 = 0. What is n?
-2, -1, -1/4, 0, 2
Let b = 72853/16188 + -7/16188. Find q, given that b*q**2 - 6*q**3 - 6 + 3/2*q**4 + 6*q = 0.
-1, 1, 2
Let y(z) be the third derivative of 1/10*z**5 + 36 + 0*z + 2*z**2 - 1/2*z**4 + 1/40*z**6 - 4*z**3. Determine m, given that y(m) = 0.
-2, 2
Let h(i) = 1142*i - 35399. Let q be h(31). Find j, given that 2/7*j**4 + 2/7 + 12/7*j**2 - 8/7*j - 8/7*j**q = 0.
1
Let k(i) be the third derivative of i**5/160 - 747*i**4/16 + 558009*i**3/4 + 32*i**2 + 2*i + 3. Suppose k(c) = 0. What is c?
1494
Solve 14/3*u + 1/3*u**2 + 8 = 0.
-12, -2
Let p be ((-56)/(-21))/(1/18). Let j = 804 - 802. Let 6*q + 15 + 15*q - 6*q**j - p*q = 0. What is q?
-5, 1/2
Solve -449*i**2 - 804*i + 224*i**4 - 445*i**2 + 179 - 435*i**3 - 3*i**5 - 308*i**4 - 443 = 0 for i.
-22, -2, -1
Let m be 1*14 + -25 + 1390/110. Find q such that m + 4/11*q**3 - 38/11*q**2 + 16/11*q = 0.
-1/2, 1, 9
Factor -10201/3 + 1/3*l**5 - 29998/3*l**2 + 199/3*l**4 + 9598/3*l**3 + 30401/3*l.
(l - 1)**3*(l + 101)**2/3
Let w(b) be the first derivative of 0*b**2 + 4*b + 4/3*b**3 + 1/3*b**4 - 1/5*b**5 - 17. Let q(x) be the first derivative of w(x). What is h in q(h) = 0?
-1, 0, 2
Suppose 69*n = 4*p + 70*n - 23, 5*n - 1 = -p. Suppose -3*c + 7 = -2*m, -73*c + 3*m - p = -74*c. Suppose 82/9*q**2 + 70/9*q**c - 16/9 - 4/9*q = 0. Calculate q.
-1, -4/7, 2/5
Let r(s) be the third derivative of -s**7/1680 - s**6/360 + s**5/80 - 61*s**3/3 - 2*s**2 - 20*s. Let i(z) be the first derivative of r(z). Factor i(g).
-g*(g - 1)*(g + 3)/2
Find b such that 1770*b**4 - 270*b + 38*b**2 + 176 + 57*b**2 - 1771*b**4 = 0.
-11, 1, 2, 8
Find j, given that -4/3*j**2 + 244*j - 728/3 = 0.
1, 182
Let q(l) = -2*l**2 + 8*l + 8. Let z be q(4). Factor -27*b**2 - 30*b**3 + z*b**3 + 7*b**3 + 7*b**3 + 36*b + 60 + 5*b**3.
-3*(b - 2)*(b + 1)*(b + 10)
Let c(m) be the first derivative of 2*m**6/3 - 18*m**4 - 16*m**3/3 + 114*m**2 - 144*m + 1332. Solve c(g) = 0 for g.
-3, 1, 4
Let n(d) = 5*d**2 + 214*d - 214. Let u(k) = -2*k**2 - 4*k + 1. Let q(g) = -n(g) - u(g). Solve q(m) = 0.
-71, 1
Let j(t) be the first derivative of -3*t**4/14 - 382*t**3/7 + 165*t**2 - 1158*t/7 + 200. Let j(x) = 0. Calculate x.
-193, 1
Solve 0*s**2 + 8*s**2 - 32*s**2 - 12*s**2 - 38*s - 3*s**3 + 5*s**3 = 0 for s.
-1, 0, 19
Let k(s) be the third derivative of -s**5/15 + s**4/6 + 28*s**3 - 3*s**2 + 327*s. Find t such that k(t) = 0.
-6, 7
Suppose 0 = 4*g - 3*g - 42. Factor -2*t**5 + 10*t**3 + 13 + 29 - g - 8*t**4.
-2*t**3*(t - 1)*(t + 5)
Let l(v) = 13*v**2 + 101*v + 360. Let b(q) = -15*q**2 - 102*q - 374. Let j(h) = 6*b(h) + 7*l(h). Factor j(f).
(f + 3)*(f + 92)
Let i = -1214/357 - -30778/8211. Solve 4/23 + 26/23*b - 26/23*b**3 - 12/23*b**4 + i*b**2 = 0 for b.
-2, -1, -1/6, 1
Let c(y) = 27*y**3 - 69*y**2 - 168*y + 96. Let j(i) = -7*i**3 + 17*i**2 + 42*i - 16. Let u(t) = 4*c(t) + 15*j(t). Factor u(o).
3*(o - 8)*(o - 2)*(o + 3)
Let 13/7*j**2 + 0 - 1/7*j**3 - 12/7*j = 0. Calculate j.
0, 1, 12
Let a be 190/8 + 114/456. Let g(r) be the third derivative of 0*r + 1/400*r**6 + 0 + 1/30*r**3 + a*r**2 + 3/80*r**4 + 1/60*r**5. What is k in g(k) = 0?
-2, -1, -1/3
Solve 0 + 0*z - 102/7*z**2 - 1/7*z**3 = 0 for z.
-102, 0
Find q, given that -1969*q + 768*q + 6*q**4 - 3*q**4 + 1104*q + 817*q + 51*q**2 - 54*q**3 = 0.
-3, 0, 5, 16
Let c(x) = -202*x + 169. Let v be c(-10). Let k = -2189 + v. Solve 0 - 3/2*w**2 + 3/4*w**3 + k*w = 0 for w.
0, 2
Let z(h) = -3*h**3 - 744*h**2 + 2259*h - 34. Let q(l) = 2*l**3 + 496*l**2 - 1506*l + 22. Let s(p) = -17*q(p) - 11*z(p). Suppose s(n) = 0. What is n