t derivative of n**6/160 + n**5/40 - n**4/8 - n**3 - n**2/2 - 33*n - 28. Let k(i) be the second derivative of l(i). Factor k(p).
3*(p - 2)*(p + 2)**2/4
Suppose -60*u + 244 = 4. Let i(s) be the second derivative of -8/5*s**3 + 15*s - 99/100*s**5 + 0*s**2 - 1/5*s**6 - 1/70*s**7 + 0 - 2*s**u. Factor i(n).
-3*n*(n + 1)**2*(n + 4)**2/5
Let b(r) be the first derivative of 4/21*r**3 + 59 + 80/7*r**2 + 1600/7*r. Find f such that b(f) = 0.
-20
Let j(x) be the third derivative of x**6/210 - 1826*x**5/105 + 833569*x**4/42 + x**2 + 706. Suppose j(d) = 0. Calculate d.
0, 913
Suppose -4*d + 10*d = 16*d. Suppose -j + 2*f = -d*f - 13, -4*j + f + 17 = 0. Factor 0*h + 0 + 14/3*h**j + 2/3*h**4 + 20/3*h**2.
2*h**2*(h + 2)*(h + 5)/3
Let g(y) be the second derivative of -2*y**7/147 + 22*y**6/35 - 31*y**5/35 - 11*y**4/7 + 64*y**3/21 - 145*y + 12. Find n such that g(n) = 0.
-1, 0, 1, 32
Let h(f) be the second derivative of f**5/90 - f**4/3 - 31*f**3/9 + 110*f**2/9 - 4586*f. Suppose h(s) = 0. What is s?
-5, 1, 22
Let u(h) be the second derivative of 5*h**7/42 + 8*h**6/3 + 53*h**5/4 + 155*h**4/6 + 20*h**3 - 13*h - 52. Solve u(c) = 0 for c.
-12, -2, -1, 0
Let x = -396 + 398. Suppose 5*l - 10 = -2*d, 3*d - 4 = 5*l - 14. Factor -28*o + 3*o**3 + 7 - 8*o**2 + o**3 - 23 + d*o**x.
4*(o - 4)*(o + 1)**2
Let v(w) be the third derivative of -w**6/160 - 47*w**5/80 + 53*w**4/4 - 110*w**3 + 2355*w**2. Let v(q) = 0. Calculate q.
-55, 4
Let w = -111 + 74. Let a = w - -39. Determine u, given that -11*u + 11*u - 11*u - u + 2*u**a + 18 = 0.
3
Factor -210*u**2 + 3690*u + 147*u**2 + 1107 + 337*u**3 - 331*u**3 + 169 - 349*u**2.
2*(u - 58)*(u - 11)*(3*u + 1)
Let h(j) be the second derivative of -2*j**7/21 + 124*j**5/5 + 848*j**4/3 + 1408*j**3 + 3584*j**2 - 1002*j. Factor h(q).
-4*(q - 14)*(q + 2)*(q + 4)**3
Suppose x - 17*o - 30 = -14*o, x - 24 = -3*o. Suppose -42 = x*n - 150. Factor 9/5*b**3 + 0 - 7/5*b**2 + 1/5*b**5 + 2/5*b - b**n.
b*(b - 2)*(b - 1)**3/5
Let t(z) = -z**4 - z**3 + z**2 - 4*z - 1. Let m(w) = 30*w**4 + 438*w**3 - 24*w**2 - 1077*w - 777. Let b(v) = -m(v) - 33*t(v). Factor b(y).
3*(y - 135)*(y - 2)*(y + 1)**2
Let d = 158 + -2368/15. Let m(y) be the second derivative of 2/5*y**2 + 0 + 18*y + d*y**4 + 1/50*y**5 + 1/3*y**3. Factor m(b).
2*(b + 1)**2*(b + 2)/5
Solve 980/19 - 2/19*v**2 + 186/19*v = 0 for v.
-5, 98
Let h = 78 - 78. Let d be (h - -4)*(-6)/36*-3. Factor 175*c**3 + 55*c**2 - 10*c**d - 178*c**3 - 225*c + 375.
-3*(c - 5)**3
Let u be -1*(-3 + 5) - 16/4. Let m(t) = -4*t**2 - 24*t + 6. Let y(n) = -5*n**2 - 25*n + 7. Let r(d) = u*y(d) + 7*m(d). Factor r(f).
2*f*(f - 9)
Let d(o) = -2*o**2 + 20*o + 194. Let v be d(-6). Let -16/3*r - 128/3 - 1/6*r**v = 0. Calculate r.
-16
Let l(u) be the first derivative of 5/4*u**4 - 60*u - 62*u**2 + 243 + 67/3*u**3. Solve l(d) = 0 for d.
-15, -2/5, 2
Let y be (278/(-34))/(30/(-45))*-26. Let z = y - -319. What is c in 2/17*c**3 - 10/17*c + 4/17 - z*c**4 + 6/17*c**2 = 0?
-2, 1
Let u(b) be the second derivative of 7/78*b**4 - 13*b + 74/13*b**3 + 1 - 64/13*b**2. Factor u(h).
2*(h + 32)*(7*h - 2)/13
Solve 7840 + 814/3*t**2 + 14/3*t**3 + 12656/3*t = 0.
-28, -15/7
Let x(n) be the first derivative of 33*n**5/5 - 423*n**4/4 + 579*n**3 - 2145*n**2/2 - 450*n - 578. Solve x(s) = 0 for s.
-2/11, 3, 5
Let o = -334 + 339. Factor -2*t**2 + 21 + 6*t - o + 4 + 46 - 22*t.
-2*(t - 3)*(t + 11)
Let u(q) = 2*q - 10*q**2 - 6*q**2 + q. Let x(t) = 47*t**2 - 9*t. Let k = 1225 - 1227. Let v(z) = k*x(z) - 7*u(z). Factor v(a).
3*a*(6*a - 1)
Let u be -27*35/(-3780)*(-3 + 118). Factor 49/4*f**2 - 5/4*f**3 - u*f - 25/4.
-(f - 5)**2*(5*f + 1)/4
Let q(n) = n**2 - 82*n - 4243. Let x be q(-36). Let b(r) be the first derivative of 3*r**5 + 0*r - x*r**3 + 5*r**2 - 5/2*r**4 - 4. Factor b(j).
5*j*(j - 1)*(j + 1)*(3*j - 2)
Let q(t) = -27*t**3 + 33*t**2 - 18*t - 48. Let f(i) = 7*i**3 - 8*i**2 + 5*i + 12. Let p(o) = -15*f(o) - 4*q(o). Suppose p(l) = 0. What is l?
-1, 1, 4
Let x(q) be the third derivative of -13*q**6/24 - 109*q**5/50 - 111*q**4/40 - 2*q**3/15 + 75*q**2 - 32*q + 1. Let x(u) = 0. What is u?
-1, -4/325
Let t = -5 - -7. Suppose 2*c - 6 - t = 0. Factor c*o**5 - 12*o + 16*o**2 + 8*o**3 - 16*o**4 + 186 - 186.
4*o*(o - 3)*(o - 1)**2*(o + 1)
Let q be 3/39 - (-72637)/(-247). Let l = -292 - q. Determine v, given that 1/2*v**4 - 4*v + v**3 - l - 3/2*v**2 = 0.
-2, -1, 2
Suppose -113*w + 302 = 50*w + 44*w - 56*w. Find f, given that 2/13*f**3 + 20/13*f**w + 0 + 18/13*f = 0.
-9, -1, 0
Let z(d) = -9*d**2 + 85*d - 18. Let c be z(9). Factor 107*o**3 - 15*o**3 + 176*o**2 + 56*o**3 + 30*o + c*o + 20*o**4.
4*o*(o + 1)*(o + 6)*(5*o + 2)
Let z be ((1278/(-8))/(-3))/((-31)/868). Let w = -1491 - z. Find d, given that 1/3*d**2 + 0 + w*d = 0.
0
Let f = -9031 + 9037. Let a(g) be the first derivative of 2/3*g**3 + f*g**2 + 16*g + 8. Suppose a(s) = 0. Calculate s.
-4, -2
Let x(k) be the second derivative of -k**9/90720 + k**8/40320 + k**7/7560 - 5*k**4/2 + 55*k. Let r(n) be the third derivative of x(n). Factor r(d).
-d**2*(d - 2)*(d + 1)/6
Let m(p) be the first derivative of -39*p**5/5 - 313*p**4/20 - 3*p**3 + 69*p**2/10 - 4*p/5 - 11229. Determine v, given that m(v) = 0.
-1, 4/65, 1/3
Let p(r) = -r**2 + r. Let t(x) = -x**3 + x**2 - 21*x + 3. Let z(v) = -2*p(v) - t(v). Let c(f) = f**3 - f**2 + f - 1. Let l(a) = 6*c(a) - 2*z(a). Factor l(w).
4*w*(w - 4)*(w + 2)
Let j(m) be the first derivative of 10 + 0*m + 11/5*m**2 + 2/25*m**5 - 11/10*m**4 - 2/15*m**3. Factor j(n).
2*n*(n - 11)*(n - 1)*(n + 1)/5
Let z = 69751 - 69748. Suppose 6/11*w**4 - 8/11*w**5 + 4/11*w**2 + 0 + 0*w + 18/11*w**z = 0. Calculate w.
-1, -1/4, 0, 2
Suppose 0 = 5*z - 5*c - 80, -2 = z - 2*c - 17. Find y such that z*y**2 - 1152 - 96*y + 17*y**2 - 36*y**2 = 0.
-24
Let t = -568 - -547. Let v be 6/(-104)*56/t. Factor 44/13*i**2 + 18/13 + 16/13*i**3 + v*i**4 + 48/13*i.
2*(i + 1)**2*(i + 3)**2/13
Let b = -18 + 23. Suppose b*h = -c + 13, h + 0*h - c = -1. Factor 0*q**5 + 20*q + 4*q**5 + 10*q**4 - 20*q**h + q**5 - 15*q**3.
5*q*(q - 1)**2*(q + 2)**2
Factor -39*l - 101*l - 313*l**2 + 28*l**3 + 489*l**2.
4*l*(l + 7)*(7*l - 5)
Let t(s) = 16*s**3 - 41*s**2 - 85*s - 43. Let a(m) = 19*m**3 - 41*m**2 - 85*m - 43. Let w(d) = -5*a(d) + 6*t(d). Factor w(p).
(p - 43)*(p + 1)**2
Let n(h) = -62*h**2 + 1 + 61*h**2 - 1. Let v(w) = -10*w**2 + 15*w. Let o(m) = 15*n(m) + v(m). Factor o(a).
-5*a*(5*a - 3)
Let c(r) be the first derivative of -11/2*r**2 + 220 - 2*r + 2/3*r**3 + 11/4*r**4. Suppose c(v) = 0. Calculate v.
-1, -2/11, 1
Let m be 2/16 + (-33 + 12 - 177723/(-8424)). Suppose -52/9 - m*z**2 - 10/3*z = 0. Calculate z.
-13, -2
Let t = 16885087/1929724 - 1/964862. Let -8*x - 5/3 - t*x**2 + 25/12*x**3 = 0. Calculate x.
-2/5, 5
Let r(l) be the third derivative of -8*l**7/15 - 643*l**6/30 - 310*l**5/3 + 1088*l**4/3 - 320*l**3 + l**2 + 150. Determine b, given that r(b) = 0.
-20, -4, 2/7, 3/4
Let x be (26 - 34 - 15/(-2))*0. Let v(u) be the second derivative of 0 + 11*u + x*u**3 + 0*u**2 + 1/3*u**4. Suppose v(y) = 0. What is y?
0
Let s(i) = i**3 - 36*i**2 - 4*i + 147. Let m be s(36). Let b(h) = -h**2 + 1. Let t(u) = -4*u**2 - 2*u - 3. Let r(z) = m*b(z) + t(z). Factor r(g).
-g*(7*g + 2)
Let i be 8/116 + 19833/3828. Determine j, given that i*j**2 - 21/4*j**4 + 27/4*j**3 + 0 - 6*j - 3/4*j**5 = 0.
-8, -1, 0, 1
Let r(d) be the second derivative of d**6/15 + 11*d**5 + 3025*d**4/6 - 1215*d. Factor r(a).
2*a**2*(a + 55)**2
Let t be (-6)/9*(-3 + 3/2). Let g be 0 - (91/35)/t - -3. Factor 0*b + 0 - 2/3*b**3 - 4/15*b**4 + g*b**2.
-2*b**2*(b + 3)*(2*b - 1)/15
Let d(u) be the third derivative of -u**7/1365 + 11*u**6/195 + 40*u**5/39 + 16*u**4/3 - u**2 - 350*u. Solve d(v) = 0.
-4, 0, 52
Let p = -30 + 39. Let g(o) = o**3 - 8*o**2 - 9*o + 9. Let m be g(p). Determine n so that -6*n - n**5 + 3*n**4 - 3*n**2 - 2*n**5 + m*n**3 - n**5 + n**5 = 0.
-1, 0, 1, 2
Find h such that 5*h**4 - 65*h**3 - 40*h + 116 + 105058*h**2 - 104848*h**2 - 436 = 0.
-1, 2, 4, 8
Let 4553 - 13414 + m**2 + 4969 + 55*m + 5075 + 121*m = 0. Calculate m.
-169, -7
Let g(b) be the second derivative of b**5/10 + 17*b**4/12 - 7*b**3/6 + 9*b**2 - 10*b - 3. Let k be g(-9). Let 2/11*m**2 + 2/11*m**3 + 0*m + k = 0. Calculate m.
-1, 0
Let a = 14 + 57. Suppose 40 = -67*s + a*s. Determine d so that -6*d - 18*d**2 + 19*d**2 + 