 derivative of l**7/1470 - 5*l**6/168 + 5*l**5/28 + 375*l**4/56 - 8*l**2 + 8*l - 3. Factor k(a).
a*(a - 15)**2*(a + 5)/7
Let a be 20/8*(-2)/(-1). Suppose -3 = -2*u + a. Factor u*i - 5*i + 5*i**4 + 20*i**2 + i + 25*i**3.
5*i**2*(i + 1)*(i + 4)
Let i(b) be the second derivative of 5/42*b**3 - 1/28*b**4 + 0 - 1/7*b**2 + 1/210*b**6 - 1/140*b**5 - 35*b. Factor i(o).
(o - 1)**3*(o + 2)/7
Let p(f) = 11*f - 568. Let n be (-1 - 3) + -4 - -60. Let o be p(n). Solve 5/2*x**3 + 0 + 1/2*x**2 + 3/2*x**o - 9/2*x**5 + 0*x = 0 for x.
-1/3, 0, 1
Let h = -73/64 + 89/64. Let j(f) be the first derivative of 9/16*f**4 + 1/8*f**6 - 9/20*f**5 + 5 + 0*f + 0*f**2 - h*f**3. Find u, given that j(u) = 0.
0, 1
Suppose -4*f = 35*f - 3573156 - 1792035 + 381927. Factor f + 8712*r + 3/2*r**3 + 198*r**2.
3*(r + 44)**3/2
Suppose r + 7 = 4*a, 5*a + 5*r + 12 - 27 = 0. Factor -13*d + 43*d + 10*d**4 + 3885*d**3 - 3910*d**3 - 5*d**a.
5*d*(d - 2)*(d + 1)*(2*d - 3)
Suppose -4496 = 624*b - 1748*b. Factor 2/9*x + 4/9*x**2 + 0*x**3 - 4/9*x**b - 2/9*x**5 + 0.
-2*x*(x - 1)*(x + 1)**3/9
Let j be (0 - (-2)/32) + (-1313)/48480*-10. Find v such that -44/3*v + 16 + j*v**3 + 8/3*v**2 = 0.
-12, 2
Let r(t) = 2652*t - 10606. Let h be r(4). Suppose -12/7*a - 3/7*a**3 - 4/7 - 11/7*a**h = 0. What is a?
-2, -1, -2/3
Let y(b) be the second derivative of -b**6/75 - 8*b**5/25 - 3*b**4/2 + 54*b**3/5 - 2*b - 118. Let y(d) = 0. What is d?
-9, 0, 2
Suppose -3*o = 3*q - 2*q - 1, 3*o + 3*q = 3. Suppose o = 4*i - 3 - 5. Factor 52*s - 57*s**2 + 22*s**i + 96*s + 50 + 17*s.
-5*(s - 5)*(7*s + 2)
Suppose -143 = -2*f - 3*w, 4*f + 3*w + 126 - 397 = 0. What is s in -208*s**2 - f - 170*s - 88*s**2 - 144*s**2 - 158*s - 50*s**3 = 0?
-8, -2/5
Let m = 252 + -237. Let c be 24/(-117)*m/(-20). Factor 12/13*s**2 + 2/13*s**4 + 8/13*s**3 + 8/13*s + c.
2*(s + 1)**4/13
Let k(f) be the third derivative of f**5/330 + 19*f**4/132 + 8*f**3/3 + 1183*f**2. Let k(z) = 0. What is z?
-11, -8
Let b(p) be the second derivative of p**5/30 + p**4/6 + 3*p + 1085. Let b(v) = 0. What is v?
-3, 0
Suppose 8*x = -31 + 71. Suppose -6 = a + x*c, 3*a + 8 = 4*c + 28. Determine m so that 3*m**2 + 3/2*m - 21/2*m**3 + 6*m**a + 0 = 0.
-1/4, 0, 1
Let d(f) be the third derivative of 0 + 1/6*f**3 + 2*f - f**2 - 1/12*f**5 + 1/6*f**4. Factor d(j).
-(j - 1)*(5*j + 1)
Factor -84/11*i + 882/11 - 6/11*i**2.
-6*(i - 7)*(i + 21)/11
Let i(l) be the first derivative of 2*l**3/21 - 8*l**2/7 - 40*l/7 - 977. Factor i(z).
2*(z - 10)*(z + 2)/7
Suppose 2048383/3*g**3 + 72000 + 967740*g**2 + 457200*g = 0. What is g?
-60/127
Let h = 14964 - 14964. Let n(y) be the first derivative of -19 + h*y**2 - 2/3*y**3 + 14/5*y**5 + 4/3*y**6 + y**4 + 0*y. Suppose n(p) = 0. Calculate p.
-1, 0, 1/4
Let n be ((-87)/90 - -1)*145/232. Let l(t) be the third derivative of -1/64*t**4 + 13*t**2 + 0 + 0*t - n*t**3 - 1/240*t**5. Factor l(a).
-(a + 1)*(2*a + 1)/8
Suppose -1156 = 18*f - 52*f. Find h such that 3*h**3 + 10*h - h**5 + 36*h - 24 - 19*h - f*h**2 + 30*h + 4*h**4 - 5*h = 0.
-3, 1, 2
Let c(v) = -2*v**3 + 10*v**2 - 12*v + 24. Let o be c(4). Solve 3*q**3 - o*q + 221*q + 105 + 1203*q**2 - 1092*q**2 = 0 for q.
-35, -1
Let p = -8 + 14. Suppose 3*k - p*k = -15. Factor -25*o**4 + 50*o**3 - 56 + k*o**5 - 62*o**2 + 25*o + 12*o**2 + 51.
5*(o - 1)**5
Let a be (-13 + 3)/(2/(-17)). Let 4*w**5 - 805*w**2 + a*w**4 - 400*w**3 + 6860 + 735*w**3 + w**5 - 3920*w = 0. What is w?
-7, 2
Let f(b) be the first derivative of b**5/4 - 55*b**4/12 + 85*b**3/3 - 60*b**2 - 56*b - 171. Let m(t) be the first derivative of f(t). Factor m(y).
5*(y - 6)*(y - 4)*(y - 1)
Suppose 1121 - 1037 = 21*z. Factor 2/3*c**5 + 24*c**2 - 36 + 68/3*c**3 + 20/3*c**z - 18*c.
2*(c - 1)*(c + 2)*(c + 3)**3/3
Let z be (37 - (-62 + 47)) + -48. Suppose -108*f - 68/9*f**3 - 96 - 4/9*f**z - 44*f**2 = 0. What is f?
-8, -3
Let m(o) be the first derivative of o**5/10 - 23*o**4/8 + 35*o**3/2 + 283*o**2/4 + 77*o - 612. Factor m(v).
(v - 14)*(v - 11)*(v + 1)**2/2
Suppose 485 - 986 = 18*b - 537. Find h such that 12/11*h + 2/11*h**b + 10/11 = 0.
-5, -1
Let p = 120 + -116. Suppose 7*w + 12 - 8*w**p + 54*w**2 - 6*w + 49*w = 0. Calculate w.
-2, -1/2, 3
Suppose -652 = -81*k - 82*k. Suppose 4*w**3 - 4*w**2 - 4/3*w**k + 0 + 4/3*w = 0. What is w?
0, 1
Suppose 6*z = 7*z - 236. Let k = z + -704/3. Factor 2/3*c**2 + 0*c - k*c**3 + 0 + 2/3*c**4.
2*c**2*(c - 1)**2/3
Suppose -674 = -5*n - 49. Let d = -70 + n. Factor -d*o - 50 - 17*o**2 - 29*o**2 + 41*o**2.
-5*(o + 1)*(o + 10)
Suppose 3*v = 21*v - 6480. Suppose 69*s**3 + 138*s - 204*s - 3*s**3 + v*s**2 - 361 - 2 + 4*s**4 - s**4 = 0. Calculate s.
-11, -1, 1
Factor -128*i + 13*i**2 + 4*i**2 - 7*i**3 + 11*i**2 + i**3 - 1024 + 5*i**3.
-(i - 16)**2*(i + 4)
Let r = 5796 + -5792. Factor -4 + r*p**2 - 16/7*p**3 + 16/7*p.
-4*(p - 1)*(p + 1)*(4*p - 7)/7
Let r(l) be the second derivative of 1/165*l**6 + 7/110*l**5 + 0*l**2 + 0 + 5/22*l**4 - 140*l + 3/11*l**3. Let r(b) = 0. What is b?
-3, -1, 0
Let r = -75065 - -75068. Factor 26*p + 12 + 58/3*p**2 + 2/3*p**4 + 6*p**r.
2*(p + 1)*(p + 2)*(p + 3)**2/3
Let h be ((-6 - 1)*-3)/(6/164). Find g such that -g**3 + 596*g**2 - 64*g + 200 - h*g**2 - 48*g - 28*g = 0.
2, 10
Suppose -1154*m - 65 = -1167*m. Let u(x) be the second derivative of -17*x + 3/100*x**m - 1/10*x**4 + 0 - 1/10*x**3 + 3/5*x**2. Factor u(t).
3*(t - 2)*(t - 1)*(t + 1)/5
Let x(z) = -5*z**2 - 463*z + 454. Let i(l) = -10*l**2 - 925*l + 900. Let s(d) = 2*i(d) - 5*x(d). Factor s(p).
5*(p - 1)*(p + 94)
Factor 66599*h - 3*h**3 + 3*h**4 - 3*h**2 - 24*h**2 - 66632*h - 12.
3*(h - 4)*(h + 1)**3
Let z(j) be the first derivative of j**7/210 - j**6/5 + 47*j**5/30 - 5*j**4 + 103*j**3/3 - 3*j + 128. Let u(v) be the third derivative of z(v). Factor u(r).
4*(r - 15)*(r - 2)*(r - 1)
Let a(n) be the third derivative of -n**2 - 1/15*n**5 + 0*n**3 - 7 + 0*n**4 + 0*n - 1/30*n**6. Factor a(x).
-4*x**2*(x + 1)
Let d(j) be the third derivative of -1/135*j**6 - 8/945*j**7 + 1/252*j**8 + 0*j**3 + 0 - 99*j**2 - 1/54*j**4 + 2*j + 4/135*j**5. Suppose d(l) = 0. What is l?
-1, 0, 1/3, 1
Determine j, given that -43/10*j**3 - 6/5*j**4 + 0*j + 1/10*j**5 + 0 - 3*j**2 = 0.
-2, -1, 0, 15
Let n(o) be the third derivative of -1/240*o**6 - 3*o**2 - 225/16*o**4 + 1125/4*o**3 + 3/8*o**5 + 3*o + 0. Factor n(q).
-(q - 15)**3/2
Let m be 26/42 + (-18 + 1 - 10030/(-595)). Solve 2/21*k**2 - 16/7 + m*k = 0.
-8, 3
Suppose 178 = 13*q - 2*b, -2*q + 358 = -2*b + 312. Factor -q*d - 24 - 3/2*d**2.
-3*(d + 4)**2/2
Let p(b) = -b**3 - 23*b**2 + 3*b + 3. Let s(v) = -3*v**3 - 47*v**2 + 7*v + 7. Let k be ((-42)/4)/(24/32). Let a(h) = k*p(h) + 6*s(h). Factor a(z).
-4*z**2*(z - 10)
Let p(u) be the first derivative of u**8/20160 - u**6/1440 + u**5/720 - 2*u**3/3 - u**2 - 32. Let l(a) be the third derivative of p(a). Solve l(w) = 0.
-2, 0, 1
Factor l**2 - 32*l - 39*l + 0*l**2 + 100*l - 42 - 40*l.
(l - 14)*(l + 3)
Let p(y) be the first derivative of -68 - 2*y**2 - 2/9*y**3 - 10/3*y. Factor p(v).
-2*(v + 1)*(v + 5)/3
Let q(t) be the third derivative of 5/14*t**8 - 4*t**2 + 1 - 17/5*t**5 - 169/60*t**6 + 8/3*t**3 + 1/3*t**4 - 11/105*t**7 + 0*t. Let q(p) = 0. What is p?
-1, -2/3, -2/5, 1/4, 2
Let v(c) be the second derivative of 25*c**7/84 - c**6/6 - 89*c**5/40 - 11*c**4/12 + 16*c**3/3 + 8*c**2 - 920*c. Determine b so that v(b) = 0.
-1, -4/5, 1, 2
Let s(o) be the second derivative of o**6/35 - 517*o**5/70 - 1037*o**4/126 - 173*o**3/63 - 696*o. What is d in s(d) = 0?
-1/3, 0, 173
Let 5768*n + 4042*n - 4080027 - 3027*n - 8774673 - 3*n**2 + 5637*n = 0. Calculate n.
2070
Let 73/4*v**2 - 3/2*v**3 - 7 + 39*v = 0. Calculate v.
-2, 1/6, 14
Let l(v) be the third derivative of -1/15*v**5 + 0*v**3 - 11/1470*v**7 - 1/2352*v**8 + 0*v - 4/105*v**6 + 26*v**2 + 0 + 0*v**4. Factor l(s).
-s**2*(s + 2)**2*(s + 7)/7
Let y(w) be the second derivative of w**7/1080 + 23*w**6/2160 + w**5/60 - 5*w**4/12 - 3*w**2/2 + w. Let a(n) be the third derivative of y(n). Factor a(c).
(c + 3)*(7*c + 2)/3
Factor -2*b**2 - 8*b + 20*b**3 - 4858*b**4 + 9734*b**4 - 4862*b**4.
2*b*(b + 1)**2*(7*b - 4)
Let d = 1200409 + -6001993/5. Factor 4/5*i**4 + 0*i + 0 - d*i**3 - 56/5*i**2.
4*i**2*(i - 14)*(i + 1)/5
Let h(j) be the first derivative of -j**4/24 - 71*j**3/6 - 954*j**2 - 5618*j/3 + 1303. Let h(l) = 0. Calculate l.
-106, -1
Factor 256 - 21*h**