
-67, -2, -2/5
Let b(q) be the third derivative of q**8/224 + 11*q**7/70 + q**6/2 - 1254*q**2. Factor b(v).
3*v**3*(v + 2)*(v + 20)/2
Determine d so that -128/3*d**2 + 0 - 2/3*d**3 + 134*d = 0.
-67, 0, 3
Let d(w) be the third derivative of w**5/240 - 395*w**4/16 + 468075*w**3/8 - 3952*w**2. Find b, given that d(b) = 0.
1185
Suppose 5*u = 9*a - 3, -2*a - 63*u = -61*u - 10. Factor 20/7 - 4/7*o**3 - 44/7*o + 4*o**a.
-4*(o - 5)*(o - 1)**2/7
Suppose -459*b**2 - 35*b**5 + 69*b - 470*b**4 + 552*b + 1160*b - 381*b - 1785*b**3 - 811*b**2 = 0. Calculate b.
-7, -5, -2, 0, 4/7
Let c = -241480 + 1693340/7. Let a = 427 - c. Factor a*q**2 - 20/7*q + 4/7.
(q - 2)*(9*q - 2)/7
Let v(n) be the third derivative of -59*n**2 + 0*n - 2 + 1/60*n**5 + 1/420*n**7 + 0*n**4 + 1/80*n**6 + 0*n**3. Factor v(o).
o**2*(o + 1)*(o + 2)/2
Let w be 8/2*(-20 + 690/23 + -9). Factor -104/3*d**3 - 196/9*d - 4/9*d**5 - 448/9*d**2 - 64/9*d**w + 0.
-4*d*(d + 1)**2*(d + 7)**2/9
Factor 76877424 - 4215/4*y**3 + 3/4*y**4 - 77370228*y + 493857*y**2.
3*(y - 468)**3*(y - 1)/4
Let a(s) = -2*s**2 + 5048*s - 3195280. Let c(d) = -d + 14. Let t(z) = -a(z) + 8*c(z). Factor t(j).
2*(j - 1264)**2
Let q(n) be the third derivative of -14/3*n**5 + 23*n**2 + 1/8*n**6 + 0*n + 0 - 135*n**3 + 465/8*n**4. Factor q(i).
5*(i - 9)**2*(3*i - 2)
Let i = -13825/3 + 4611. Let j(c) be the first derivative of 0*c + i*c**3 + c**4 + 15 + 0*c**2. Factor j(h).
4*h**2*(h + 2)
Determine i so that 0 - 1/3*i**2 - 10/3*i + 10/3*i**3 + 1/3*i**4 = 0.
-10, -1, 0, 1
Suppose -t - 16 = -5*t. Suppose 99 = 26*n - 109. Suppose -n*m**t - 3*m**5 + 5*m**5 - 44*m**2 + 44*m**2 + 6*m**3 = 0. What is m?
0, 1, 3
Suppose 3*a - 44 = -3*r + 5*r, 0 = a - 2*r - 20. Suppose -t - a + 39 = 0. Solve 4*z**3 + 8 + 23*z - t*z - 14*z**2 + 6*z**2 = 0.
-1, 1, 2
Let q(u) = -29*u**4 + 13*u**3 + 37*u**2 - 45*u - 8. Let n(o) = -55*o**4 + 25*o**3 + 75*o**2 - 90*o - 15. Let m(r) = -8*n(r) + 15*q(r). Factor m(v).
5*v*(v - 3)*(v - 1)*(v + 3)
Let -72765788/3*h**3 + 276676*h**2 - 1052*h + 4/3 = 0. What is h?
1/263
Let i(x) be the first derivative of -x**5 - 280*x**4 - 62720*x**3/3 + 476. What is s in i(s) = 0?
-112, 0
Let k = 1107657 + -14399537/13. Factor 2/13*x**5 + k*x**3 + 0*x + 0 - 6/13*x**4 + 0*x**2.
2*x**3*(x - 2)*(x - 1)/13
Let o(r) be the third derivative of -r**6/180 + 2*r**5/15 - 41*r**4/36 + 14*r**3/3 + 824*r**2. Factor o(s).
-2*(s - 7)*(s - 3)*(s - 2)/3
Let y(j) be the second derivative of -j**6/6 + 23*j**5/4 + 205*j**4/6 - 260*j**3/3 - 263*j. Factor y(r).
-5*r*(r - 26)*(r - 1)*(r + 4)
Factor 10443 + 1/3*k**2 + 118*k.
(k + 177)**2/3
Let m(o) be the first derivative of -3*o**4/4 - 21*o**3 - 126*o**2 - 192*o + 1501. What is p in m(p) = 0?
-16, -4, -1
Let j(w) be the first derivative of -w**6/2 + 3*w**5 + 51*w**4/4 - 21*w**3 + 59. Let j(r) = 0. What is r?
-3, 0, 1, 7
Let f(l) be the third derivative of -l**6/480 - 17*l**5/2 - 14450*l**4 - 39304000*l**3/3 - 76*l**2 + 8*l. Factor f(w).
-(w + 680)**3/4
Let z(w) = 5*w - 1. Let a(b) = -b. Let c(y) = -20*a(y) - 5*z(y). Let n be c(-5). Find p, given that -10*p - 15*p**3 - n*p**2 - 5*p**2 - 1 + 1 = 0.
-2, -1/3, 0
Let f be ((-69)/(-1012))/((-42)/(-4144)). Solve 0 - 18/11*l - 4/11*l**5 + 46/11*l**4 - 98/11*l**3 + f*l**2 = 0 for l.
0, 1/2, 1, 9
Let b(a) = 144*a**4 - 1236*a**3 + 1708*a**2 - 811*a + 134. Let c(u) = 108*u**4 - 927*u**3 + 1281*u**2 - 608*u + 100. Let v(x) = -8*b(x) + 11*c(x). Factor v(r).
(r - 7)*(3*r - 2)**2*(4*r - 1)
Let m(w) = -w**3 + 20*w**2 - 35*w - 7. Let n be m(18). Factor 30*x - n*x**2 + 33 - 5*x**2 + 13*x**2.
-3*(x - 11)*(x + 1)
Let w = 301 - 300. Let z be (w - -1)*4/28. Factor z - 4/7*f + 2/7*f**2.
2*(f - 1)**2/7
Let j(b) be the second derivative of -13*b**6/10 + 97*b**5/20 - 10*b**4/3 + 2*b**3/3 - 6*b - 40. Find v such that j(v) = 0.
0, 2/13, 1/3, 2
Let 96/5*s**2 - 3/5*s**5 + 0 + 0*s - 18/5*s**4 + 0*s**3 = 0. What is s?
-4, 0, 2
Let d = -6989/7 + 20981/21. What is x in -4/9*x**2 + 2/9*x**3 + 0 - d*x = 0?
-1, 0, 3
Let q(l) be the first derivative of -l**6/18 + 22*l**5/3 + 337*l**4/12 + 226*l**3/9 + 159. Determine v, given that q(v) = 0.
-2, -1, 0, 113
Suppose 5*j + 15 = -x, j - 5*j - 11 = x. Suppose -3*s + 13 = 2*o, o = -4*o + 5*s - x. Factor -3*n**o - n**2 - 20 + 13 + 11.
-4*(n - 1)*(n + 1)
Suppose 5*u = -24*u - 35*u + 256. Determine o so that 3/4*o**u + 3*o**2 + 0 + 15/4*o**3 + 0*o = 0.
-4, -1, 0
Suppose -19 - 26*r + 27*r**2 - 67*r + 17*r**3 + 24 + 35 - 19*r**3 = 0. What is r?
1/2, 5, 8
Let j(w) be the first derivative of 5/14*w**4 + 25 - 2/35*w**5 + 0*w + 0*w**2 - 8/21*w**3. Factor j(v).
-2*v**2*(v - 4)*(v - 1)/7
Let l(s) be the second derivative of -s**6/360 + 17*s**5/120 - 2*s**4/3 + 5*s**3/6 + 5*s**2 - s + 46. Let n(w) be the second derivative of l(w). Factor n(g).
-(g - 16)*(g - 1)
Suppose 0 = 151*w - 156*w + t - 7340, -2*w + 5*t - 2913 = 0. Let f = w - -10301/7. Factor 20/7 - 2/7*o**2 + f*o.
-2*(o - 10)*(o + 1)/7
Factor -30 - 1174*h - 2*h**2 - 1172*h + 2330*h.
-2*(h + 3)*(h + 5)
Let i = -5446/3 - -1817. Let y(a) be the third derivative of 2/15*a**7 + 17/5*a**5 + 0*a - 16/3*a**3 + i*a**4 + 0 - 4*a**2 + 4/3*a**6. Factor y(t).
4*(t + 1)**2*(t + 4)*(7*t - 2)
Let w = 11763 + -11757. Let c(h) be the third derivative of -256/3*h**3 - 15*h**2 - 2/5*h**5 - 1/120*h**w + 0 - 8*h**4 + 0*h. Find l such that c(l) = 0.
-8
Factor 14528/3 + 7328/3*p + 4/3*p**3 + 940/3*p**2.
4*(p + 4)**2*(p + 227)/3
Let o(s) = 33*s + 35. Let c be o(-1). Let w be c/3*(-9 - 0)/(-9). Factor -14/3*n**2 + 2*n**3 - w + 10/3*n.
2*(n - 1)**2*(3*n - 1)/3
Let d be 66/10 - 7 - (-9)/20. Let k(b) be the second derivative of 0 + d*b**2 - 1/120*b**4 - 1/60*b**3 + 1/200*b**5 - 3*b. Solve k(p) = 0.
-1, 1
Let w(s) = s**3 + 80*s**2 - 236*s - 315. Let j(g) = 2*g**3 + 80*g**2 - 236*g - 314. Let v(x) = -5*j(x) + 6*w(x). Suppose v(k) = 0. What is k?
-1, 5, 16
Let k = 1564 + -1564. Let l(p) be the third derivative of 1/4*p**4 + 0*p - 1/2*p**3 + k*p**5 + 1/70*p**7 - 1/20*p**6 + 4*p**2 + 0. Factor l(o).
3*(o - 1)**3*(o + 1)
Let l(d) = 70*d**2 - 2855*d + 887. Let p(y) = 35*y**2 - 1410*y + 444. Let g(n) = 4*l(n) - 7*p(n). Factor g(x).
5*(x - 44)*(7*x - 2)
Let x(z) = 3*z**2 + 1737*z + 1719. Let g(y) = 10*y**2 + 5214*y + 5156. Let d(u) = -5*g(u) + 16*x(u). Determine n, given that d(n) = 0.
-1, 862
Let v(a) be the first derivative of 4/63*a**6 + 34/63*a**3 - 1/7*a**2 + 2/35*a**5 - 66 - 1/2*a**4 + 0*a. Suppose v(j) = 0. Calculate j.
-3, 0, 1/4, 1
Let b(a) be the second derivative of a**7/63 - a**6/15 - 8*a**5/15 - 2*a**4/3 - 208*a. Let b(i) = 0. What is i?
-2, -1, 0, 6
Let v(g) = -2*g**2 + 0*g**2 - 229 + 258. Let k(a) = 2*a**2 - 30. Let t(u) = 3*k(u) + 2*v(u). Find w such that t(w) = 0.
-4, 4
Let l be 7866/24 + (-2)/(-8). Suppose 2*v = -76 + l. Factor -12*q - 36*q**3 - 144*q**2 - 4*q - 16*q - v*q**3.
-2*q*(9*q + 4)**2
Let n(b) be the second derivative of 7/3*b**4 - 1/5*b**5 + 80/3*b**3 + b - 4 + 88*b**2. Find j such that n(j) = 0.
-2, 11
Let x(s) be the second derivative of s**5/220 - 4*s**4/33 + 2*s**3/3 + 80*s**2/11 + 12*s + 185. Let x(v) = 0. Calculate v.
-2, 8, 10
Suppose -7*y - 7 + 32 = 11. Let g(c) be the first derivative of -3/4*c**4 + 3*c**3 - 23 - 12*c + 0*c**y. Factor g(t).
-3*(t - 2)**2*(t + 1)
Let m be (-240)/(-130) - ((-207)/78 + 1 + 1038/692). Let 578/15 + 2/15*i**m - 68/15*i = 0. Calculate i.
17
Let k(u) be the second derivative of 65/12*u**4 - 1/2*u**6 + 1/2*u**5 - 20/3*u**3 - 10*u**2 - 1 - 26*u. Suppose k(f) = 0. Calculate f.
-2, -1/3, 1, 2
Let v(s) be the first derivative of -4*s**5/15 - 14*s**4/3 - 52*s**3/9 + 9695. Suppose v(g) = 0. Calculate g.
-13, -1, 0
Let o(r) be the first derivative of -9*r - 36*r**3 - 3*r**4 - 1/10*r**5 - 17 - 216*r**2. Let i(l) be the first derivative of o(l). Find z such that i(z) = 0.
-6
Suppose 265*d - 259*d = 12. Factor -7*p**2 - p**2 + p**d + 3*p**2.
-4*p**2
Factor 56 - k**2 + 890*k + k**3 - 954*k + 8.
(k - 8)*(k - 1)*(k + 8)
Let z(d) = -d**4 + 9*d**3 - d - 1. Let i(j) = -23*j**4 + 3455*j**3 + 1774*j**2 + 231*j + 9. Let n(v) = 2*i(v) + 18*z(v). Factor n(y).
-4*y*(y - 111)*(4*y + 1)**2
Let p(x) = -3652*x + 241034. Let w be p(66). Factor 308/9*k - 2/9*k**w - 11858/9.
-2*(k - 77)**2/9
Let h(y) be the third derivative of 0 - 34*y - 5/28*y**8 + 35/12*y**4 - 13/42*y**7 + 21/4*y**5 + 5/3*y**6 - 2*y**2 - 20/