s**2 + 17. Let t(m) be the second derivative of n(m). Factor t(o).
-o*(o - 3)*(o + 5)
Let m(h) be the first derivative of 17*h - 1/3*h**3 - 1/10*h**4 + 15 - 2/5*h**2. Let b(z) be the first derivative of m(z). Solve b(t) = 0 for t.
-1, -2/3
Suppose -2*i - 119 = -19*i. Let w be (-3 - -3) + i - 7. Let w*h + 0 + 0*h**2 + 2/7*h**5 + 2/7*h**3 + 4/7*h**4 = 0. Calculate h.
-1, 0
Let m(v) be the second derivative of v**5/110 + 23*v**4/33 - 53*v**3/33 - 282*v**2/11 + 2109*v. Factor m(f).
2*(f - 3)*(f + 2)*(f + 47)/11
Let f(n) be the third derivative of n**7/630 + 283*n**6/180 + 81769*n**5/180 + 19810*n**4/3 + 39200*n**3 + n**2 + 8*n - 3. Suppose f(y) = 0. What is y?
-280, -3
Let x(z) = -4*z**2 - 2*z + 2. Let v(a) = 328*a**3 + 894*a**2 - 50*a + 44. Let n(y) = -2*v(y) + 44*x(y). Factor n(o).
-4*o*(o + 3)*(164*o - 1)
Let q be 2 + 1 - (-2)/(-2). Factor 5*n**3 + q*n**3 - 12 - 4*n - 3*n**3 + 15*n**2 - 3*n**2.
4*(n - 1)*(n + 1)*(n + 3)
Let m(s) = -249*s + 11457. Let v be m(46). Solve 0*f - 16/5*f**2 - 2/5*f**4 + 0 - 18/5*f**v = 0.
-8, -1, 0
Let h(z) be the second derivative of -10*z**7/21 + 76*z**6/15 - 84*z**5/5 + 40*z**4/3 + 64*z**3/3 + 1211*z. Let h(y) = 0. Calculate y.
-2/5, 0, 2, 4
Let b(k) be the third derivative of k**5/60 - 23*k**4/3 + 4232*k**3/3 - 644*k**2. What is f in b(f) = 0?
92
Let i = 4519 - 162623/36. Let k(r) be the second derivative of 3*r + 11/24*r**5 + i*r**4 + 5/9*r**3 + 0 - 2/3*r**2. Find b such that k(b) = 0.
-2, -2/5, 2/11
Let d(w) be the second derivative of w**6/60 - 21*w**5/80 - 9*w**4/8 + w**3/6 - 6*w**2 - 85*w. Let m(t) be the second derivative of d(t). Solve m(o) = 0.
-3/4, 6
Let s = 5871/58 + -2892/29. Let v(q) be the first derivative of -9 - s*q**2 + 1/2*q**3 + 3/2*q. Factor v(x).
3*(x - 1)**2/2
Suppose 0 = -3*j + m + 16, -2*j - 4*m - 7 - 1 = 0. Suppose -14 = 2*w - 3*w + j*h, -5*w + 4 = 2*h. Factor 2/3*y**4 - 2/3*y - 2*y**3 + 0 + 2*y**w.
2*y*(y - 1)**3/3
Suppose -5*u = 4*d + 68, 10*d + 136 = -u + 150. Factor -4/3*g**d + g + 0 - 11/3*g**2.
-g*(g + 3)*(4*g - 1)/3
Suppose 5*f**3 - 837*f**2 + 1282*f**2 + 5265*f**2 + 1630205*f = 0. What is f?
-571, 0
Let t(f) be the second derivative of 101 + 0*f**2 + 2*f + 0*f**3 + 7/54*f**4 - 1/90*f**5. Solve t(w) = 0.
0, 7
Let z(y) be the first derivative of 5*y**4/12 + 55*y**3/6 - 30*y**2 + 49*y - 33. Let r(p) be the first derivative of z(p). Factor r(c).
5*(c - 1)*(c + 12)
Let l(z) be the third derivative of 22 - 3/80*z**6 + 0*z - 5/96*z**4 + 1/105*z**7 - 1/1344*z**8 + 1/15*z**5 + 0*z**3 - z**2. Factor l(q).
-q*(q - 5)*(q - 1)**3/4
Let y(x) be the first derivative of -x**8/56 + 2*x**7/25 + 3*x**6/100 + 59*x**2 - 272. Let s(d) be the second derivative of y(d). Factor s(r).
-6*r**3*(r - 3)*(5*r + 1)/5
Let t(s) = 21*s**4 + 1134*s**3 - 2331*s**2 + 1131*s - 15. Let p(v) = 3*v**4 + 162*v**3 - 333*v**2 + 162*v - 2. Let l(x) = 15*p(x) - 2*t(x). Factor l(a).
3*a*(a - 1)**2*(a + 56)
Let a = 9246 - 18961/2. Let o = 236 + a. Determine u, given that 3/2*u**4 + 0 - o*u**2 + 3/2*u - 3/2*u**3 = 0.
-1, 0, 1
Let p(a) = -a**2 - 18*a - 29. Let z be p(-16). Factor 16*o - 18*o - o**2 - z + 3*o + 3*o.
-(o - 3)*(o - 1)
Suppose 39 - 33 = 2*w. Suppose 2*s - 5*j - 15 = -w*s, 2*s = -5*j + 20. Solve -13*d**2 + 49*d**2 + 39*d**3 - 4*d**4 + 6*d**5 + 12*d + 22*d**4 - 3*d**s = 0.
-2, -1, 0
Let r be 19 - (31 - 16) - (1 - 0). Let q = 14 - 10. Determine o, given that -16 - 4*o**q + 32*o - 19*o + 35*o + 7*o**r - 52*o**2 + 17*o**3 = 0.
1, 2
Let g(l) = -8*l**4 + 9*l**3 + 6*l**2 + 20*l. Let i = 385 + -383. Let y(k) = -k**4 + k**3 + k**2 + 2*k. Let t(v) = i*g(v) - 18*y(v). Factor t(n).
2*n*(n - 1)**2*(n + 2)
Let d(a) be the second derivative of -a**6/10 - 33*a**5/20 - 17*a**4/4 + 11*a**3/2 + 27*a**2 + 1936*a. Determine r so that d(r) = 0.
-9, -2, -1, 1
Let y(s) be the second derivative of 3*s**6/10 - 39*s**5/10 + 51*s**4/4 - 8*s**3 - 18*s**2 + 15*s + 18. Let y(i) = 0. Calculate i.
-1/3, 1, 2, 6
Let i be (8/26940)/(76/20 - 4). Let u = i + 9884/4041. Suppose 8/3*n**4 + 0 + 4/9*n**2 - u*n**3 + 2*n**5 + 0*n = 0. Calculate n.
-2, 0, 1/3
Let w(n) be the first derivative of 1/20*n**5 + 0*n + 3*n**2 + 0*n**3 + 3 - 1/8*n**4. Let f(s) be the second derivative of w(s). Factor f(d).
3*d*(d - 1)
Let c(r) be the third derivative of -r**5/12 + 2045*r**4/12 - 836405*r**3/6 + 862*r**2. Factor c(h).
-5*(h - 409)**2
Let i(j) be the third derivative of -j**4/8 + 41*j**3/6 + 22*j**2. Let f be i(13). Determine z so that 11*z**2 + 19*z**f - 2*z**2 + 8*z**3 - 10*z**2 + 4*z = 0.
-2, -1/4, 0
Suppose -477/4*v**2 + 327/4*v**3 - 3/2*v**4 + 159/4 - 3/4*v = 0. What is v?
-1/2, 1, 53
Let d be (-1*4)/((-14)/91). Suppose -12*p + d*p = 0. Factor -3/4*v**4 - 9/4*v + p - 15/4*v**3 - 21/4*v**2.
-3*v*(v + 1)**2*(v + 3)/4
Let u(z) = -1194*z - 3749*z**2 - 341*z - 1296*z**2 - 145. Let q = -8487 + 8491. Let g(a) = 841*a**2 + 256*a + 24. Let o(v) = q*u(v) + 25*g(v). Factor o(x).
5*(13*x + 2)**2
Let b(d) be the first derivative of d**2/2 - 2*d - 9. Let g be b(5). What is a in 2*a - 3*a**2 - 11*a + a**4 + 0*a**2 + 6 + 9*a**g - 4*a**4 = 0?
-1, 1, 2
Let w be (-2)/(-3*4) - 1666/(-1020). Let v = -187 + 941/5. Solve -v + w*n - 3/5*n**2 = 0.
1, 2
Suppose -1490*y = -1418*y - 144. Suppose 0 + 6/5*o**y + 3/5*o**4 + 0*o - 9/5*o**3 = 0. What is o?
0, 1, 2
Suppose -4*h + 3*x - 1624 = 0, 0 = 3*h + 5*x - 652 + 1841. Let f = -400 - h. Find c, given that 1/2*c**f - 1/2*c**4 + 0*c + 0*c**2 + 0 = 0.
0, 1
Let 24336*k**3 - 407119*k**2 - 152846*k**2 - 14457 - 9910 - 82796 + 574938*k - 220254*k**2 - 192*k**4 = 0. What is k?
3/8, 63
Let c be 5*(-8)/20 - -4. Solve 73 + 61*n**2 - 36 - 160*n + 23 + 54*n**c - 15*n**3 = 0.
2/3, 1, 6
Let m(o) = 2*o**3 - 10*o**2 - 14*o + 15. Let l be m(6). Factor -14*b**3 + 10*b**2 - 3*b + b**5 + 2*b**l - 2*b**5 + 6*b**4.
-b*(b - 3)*(b - 1)**3
Suppose -200*z - 2000 = -595*z - 605*z. Solve -13/2*a**3 - 1/2*a**4 - 16*a + 48 - 25*a**z = 0 for a.
-6, -4, 1
Let r(h) = h**3 - 160*h**2 - 337*h + 2110. Let d be r(162). Find o, given that -2/13*o**d - 72/13*o + 0 - 66/13*o**2 - 20/13*o**3 = 0.
-4, -3, 0
Let u = 367 - 351. Let m = u + -13. Let 0*v + 0 + 5/3*v**2 - 5/6*v**m = 0. Calculate v.
0, 2
Let u = -13 + 16. Let s(b) = 0 - u + 2*b + b**2 + 1. Let m(o) = -o - 1. Let h(y) = -6*m(y) - 3*s(y). Factor h(j).
-3*(j - 2)*(j + 2)
Let -112 - 428 + 1132*p + 4*p**2 + 115 - 336 - 375 = 0. Calculate p.
-284, 1
Suppose 5*q + 4*d = 74, 41*q + d + 613 - 711 = 0. Factor -6*a**q + 0 + 44/3*a - 2/3*a**3.
-2*a*(a - 2)*(a + 11)/3
Let t(v) be the third derivative of v**6/780 - 19*v**5/390 - 119*v**4/78 - 392*v**3/39 + v**2 + 1277. Let t(f) = 0. What is f?
-7, -2, 28
Let j = -45737/7 + 6512. Let b = j + 473/21. Factor 0 + b*o**2 - 2/3*o + 2/3*o**3 - 2/3*o**4.
-2*o*(o - 1)**2*(o + 1)/3
Let u = 5570 - 5567. Let b(i) be the second derivative of -17/30*i**u - 1/15*i**4 + 20*i - 2/5*i**2 + 0. Factor b(q).
-(q + 4)*(4*q + 1)/5
Let m(p) = 695*p**2 - 305*p. Let l(u) = -418*u**2 + 153*u. Let h(t) = -5*l(t) - 3*m(t). Factor h(y).
5*y*(y + 30)
Let j(h) = -4*h - 6 - h**2 + 15 + 7*h + h. Let u be j(5). Let p**3 + 8*p**2 - u*p + 4*p**3 + p**3 - 2*p**3 - 8 = 0. What is p?
-2, -1, 1
Suppose -4*u - 76 = -0*u. Let h = 21 + u. Factor -7 - 7*z**2 + 5*z + 17 - 5*z**3 - 3*z**h.
-5*(z - 1)*(z + 1)*(z + 2)
Let m be 214/70 - (-1766)/(-30905). Suppose 0*d + 0 + 96/7*d**4 - 156/7*d**m - 15/7*d**5 + 48/7*d**2 = 0. What is d?
0, 2/5, 2, 4
Factor 54*j**3 + 65*j**4 - 48 - 88*j**2 + 231*j**3 - 20*j**2 - 204*j + 6*j**4 + 4*j**4.
3*(j - 1)*(j + 4)*(5*j + 2)**2
Let y(b) be the second derivative of -42*b - 1/4*b**4 + 31/2*b**3 + 0 + 48*b**2. Factor y(k).
-3*(k - 32)*(k + 1)
Let l(j) be the first derivative of 11*j**3/7 - 288*j**2/7 + 255*j/7 + 235. Factor l(f).
3*(f - 17)*(11*f - 5)/7
Let o = 1077922/7 - 153978. Determine s, given that -36/7 + 4/7*s**3 + o*s - 44/7*s**2 = 0.
1, 9
Let h(w) = w**2 - 2. Let y be h(2). Let o = 22 + y. Factor 20*t - o*t**2 - 165 + 81 + 78 - 2*t**4 + 12*t**3.
-2*(t - 3)*(t - 1)**3
Factor -280*v - 498*v**2 - 1875 + 562*v**2 + 2163 + 2*v**3.
2*(v - 2)**2*(v + 36)
Suppose -4*i - 7 + 15 = 0. Factor 6*k**2 - 10*k - 5*k**2 - 8 - k**i - 2*k**2.
-2*(k + 1)*(k + 4)
Let r be 8/36 - 170/765. Let -3/5*i**5 - i**3 + r + 7/5*i**4 + 0*i + 1/5*i**2 = 0. Calculate i.
0, 1/3, 1
Let a(j) be the second derivative of j**9/1512 