/210*v**6 - 1/588*v**8 - 2/735*v**7 + 0*v**4 + 0 + 1/105*v**5 + 0*v**3. Factor l(m).
-4*m**2*(m - 1)*(m + 1)**2/7
Let h(b) = -2*b - 10. Let d be h(-5). Suppose d = 4*f - 0*f - 12. Let -5*m**2 + 25*m**4 + 26*m + 34*m + 70*m**2 + 155*m**2 + 185*m**f = 0. Calculate m.
-6, -1, -2/5, 0
Suppose 274*g - 570 = 84*g. Factor g - 21/2*j + 21/8*j**3 - 3/4*j**2.
3*(j - 2)*(j + 2)*(7*j - 2)/8
Let s(l) be the third derivative of 11*l**8/2352 - 5*l**7/294 + 17*l**6/840 - l**5/140 - 3247*l**2. Factor s(y).
y**2*(y - 1)**2*(11*y - 3)/7
Let a(t) be the second derivative of 0*t**2 - 5/6*t**4 + 5/42*t**7 + 0 - 3/4*t**5 - 67*t + 0*t**3 + 0*t**6. Factor a(y).
5*y**2*(y - 2)*(y + 1)**2
Let x(q) be the third derivative of -q**5/30 - 43*q**4/12 + 136*q**3 - q**2 - 553*q. Factor x(r).
-2*(r - 8)*(r + 51)
Suppose -g + 35 = 35. Let x(j) be the third derivative of g*j**3 + 0 + 0*j - 9*j**2 + 1/24*j**6 - 5/24*j**4 + 0*j**5. Factor x(w).
5*w*(w - 1)*(w + 1)
Suppose -693*u - 470*u = 273*u - 2872. Factor -1/2*q**3 - 2*q - 2*q**u + 0.
-q*(q + 2)**2/2
Suppose 8*m - 120 = 2*m. Let v(s) be the first derivative of -18*s + 19 - 6*s - 36*s**3 + m - 3*s**4 - 50*s**2 + 4*s**5. Determine z so that v(z) = 0.
-1, -2/5, 3
Let l be -2 - 2 - 7/((-7)/6). Let f(p) be the first derivative of 1/3*p**l - 4 + 0*p - 2/9*p**3 + 2/15*p**5 - 1/6*p**4. Factor f(z).
2*z*(z - 1)**2*(z + 1)/3
Let i(f) be the first derivative of 7/6*f**3 + 150 + 33/4*f**2 + 1/24*f**4 + 45/2*f. Factor i(m).
(m + 3)**2*(m + 15)/6
Let v(s) be the first derivative of -95*s**2 + 95/2*s**4 - 600*s**3 - s**5 + 1805*s + 32. What is x in v(x) = 0?
-1, 1, 19
Factor -1332*a**2 + 1345*a**3 - 595*a**3 - 751*a**3.
-a**2*(a + 1332)
Factor -4/7*d**3 + 6400/7 + 324/7*d**2 - 960*d.
-4*(d - 40)**2*(d - 1)/7
Let u(q) be the second derivative of -q**4/42 + 53*q**3/21 - 28*q**2 + 865*q. Factor u(p).
-2*(p - 49)*(p - 4)/7
Let y(d) be the third derivative of -d**6/24 + 25*d**5/6 - 245*d**4/24 - 13*d**2 - 2*d. Suppose y(k) = 0. What is k?
0, 1, 49
Let j(k) be the third derivative of k**7/210 + k**6/40 + k**5/30 - 2*k**2 + 3*k + 11. Determine o so that j(o) = 0.
-2, -1, 0
Determine x so that -2/19*x**3 + 518/19 + 522/19*x**2 - 1038/19*x = 0.
1, 259
Let r(y) be the third derivative of y**6/600 + 201*y**5/100 + 30401*y**4/40 + 90601*y**3/30 + 563*y**2 - 1. Factor r(v).
(v + 1)*(v + 301)**2/5
Let l be (-3)/(-81)*(-24 + (-5175)/(-138)). Let -3 - 1/4*c**4 + 7/4*c**2 + 2*c - l*c**3 = 0. What is c?
-3, -2, 1, 2
Let a = 1/16823 - 11725673/706566. Let n = a - -279/14. Factor 2/3*h**2 + 8/3 - n*h.
2*(h - 4)*(h - 1)/3
Let a(s) be the first derivative of -3*s**6/16 - 8*s**5/5 - 141*s**4/32 - 21*s**3/4 - 5*s**2/2 - 1977. Determine x so that a(x) = 0.
-4, -10/9, -1, 0
Let l(z) be the second derivative of -23*z**7/21 + 163*z**6/15 - 129*z**5/10 - 151*z**4/6 + 152*z**3/3 - 12*z**2 + 529*z. Determine v, given that l(v) = 0.
-1, 2/23, 1, 6
Let z(y) be the third derivative of -y**5/45 - 533*y**4/36 - 266*y**3/9 + 47*y**2 - 3. Suppose z(v) = 0. Calculate v.
-266, -1/2
Let z = 5 - -2. Suppose z*j = -j. Factor -7*l**5 + l**5 - 16*l**3 + 2*l**5 + j*l**5 + 20*l**4.
-4*l**3*(l - 4)*(l - 1)
Let f be (5/(-42))/(5*(-144)/280). Let i(q) be the third derivative of 1/270*q**5 + 28*q**2 - f*q**4 + 0 + 0*q + 4/27*q**3. Factor i(b).
2*(b - 4)*(b - 1)/9
Let a = -14 + 50. Suppose 41*r - a*r - 15 = 0. What is p in 225*p**4 - 542*p**5 + 42*p**2 + 95*p**3 + 520*p**r - 24 - 108*p - 576*p**5 + 368*p**5 = 0?
-2/5, 1/2, 1
Suppose -2*s = -2*i - 10, -2*i + 13 = 4*s + i. Suppose -3*g + 4*g + 14 = s*a, 2*g - 4*a + 8 = 0. Factor 5*j - j + 3*j**3 + 4*j + g*j**2 - 5*j.
3*j*(j + 1)**2
Suppose 0 = -2*b + 10*b - 40. Suppose -b*u - 1 + 21 = 0. Let 64 - t**2 - 7*t + u*t**2 - 23*t + 11 = 0. What is t?
5
Let d = 1/10744 + 2685/10744. Let m(x) be the first derivative of 1/24*x**4 - 5 - 1/3*x + 0*x**3 - d*x**2. Factor m(o).
(o - 2)*(o + 1)**2/6
Let t(q) be the second derivative of -q**6/210 + 23*q**5/140 - 43*q**4/84 + q**3/2 + 5*q - 265. Solve t(k) = 0 for k.
0, 1, 21
Suppose 14840 = 81*w - 61*w. Find j such that 1490*j - w*j - 2*j**2 + 60 - 750*j = 0.
-6, 5
Let -18*u**4 + 0*u + 1/2*u**5 + 0*u**2 + 162*u**3 + 0 = 0. Calculate u.
0, 18
Factor -510*b + 900 + 289/4*b**2.
(17*b - 60)**2/4
Let n(i) be the second derivative of -1/2*i**2 + 0 + 1/24*i**6 + 1/2*i**5 - 7*i - 5*i**3 - 5/24*i**4. Let t(l) be the first derivative of n(l). Factor t(q).
5*(q - 1)*(q + 1)*(q + 6)
What is m in 20*m**4 - 580/13*m**2 - 246/13*m + 6/13*m**5 + 0 + 560/13*m**3 = 0?
-41, -3, -1/3, 0, 1
Let b(f) be the third derivative of -f**7/350 - 384*f**6/5 - 884736*f**5 - 5662310400*f**4 - 21743271936000*f**3 + 2*f**2 - 360. Let b(x) = 0. What is x?
-3840
Let r be (-243)/(-1134)*14/6. Let f(n) be the first derivative of 0*n**2 + 8/25*n**5 - r*n**4 + 0*n + 4/15*n**3 - 1/15*n**6 + 18. Factor f(m).
-2*m**2*(m - 2)*(m - 1)**2/5
Find z such that 352/9 + 2/9*z**5 + 232/9*z**3 - 64/3*z - 256/9*z**2 - 6*z**4 = 0.
-1, 2, 22
Suppose 3*k + 3*t = -204, -2*t = -k - k - 132. Let w = k - -69. What is m in -3*m - w*m**2 - 38*m - 23*m - 2*m**2 - 256 = 0?
-8
Suppose -25*f - 6 = -28*f. Suppose 0 = 4*i + 3*o - 2 - 3, -f*i + 3*o + 7 = 0. Factor 1088/7*t + 184*t**4 + 3040/7*t**3 + 28*t**5 + 3008/7*t**i + 128/7.
4*(t + 2)**3*(7*t + 2)**2/7
Let s be ((-9128)/93)/14*-1. Let m = s - -10/31. Factor -2/3*x**3 + 2/3*x + 22/3 - m*x**2.
-2*(x - 1)*(x + 1)*(x + 11)/3
Let r(p) be the second derivative of 3/20*p**5 + 183*p + 0 + 3*p**4 + 16*p**3 + 0*p**2. Factor r(a).
3*a*(a + 4)*(a + 8)
Let b(h) be the third derivative of 3*h**5/100 + 107*h**4/40 + 7*h**3 + 2*h**2 - 537*h + 1. Determine q, given that b(q) = 0.
-35, -2/3
Suppose 3*q - 4 = 11. Suppose 3*l - 41 = -4*g, -q*g - 4*l - l + 50 = 0. Determine t, given that -g*t - 13*t**3 - 9*t + 18*t**3 = 0.
-2, 0, 2
Let u(v) be the first derivative of -1/3*v**4 - 8/3*v**3 - 13*v + 1 - 6*v**2. Let o(f) be the first derivative of u(f). Determine d so that o(d) = 0.
-3, -1
Suppose -396*u + 371*u + 79 - 29 = 0. Suppose -1/3*p**3 + 0*p**u + 1/3*p + 0 = 0. Calculate p.
-1, 0, 1
Suppose 286*h + 318 = 480*h - 35*h. Factor -4/3 - 2/3*y**h + 2*y.
-2*(y - 2)*(y - 1)/3
Let y(o) = 12*o**2 - 591*o - 27643. Let q(f) = 9*f**2 - 588*f - 27644. Let l(c) = 5*q(c) - 4*y(c). Factor l(j).
-3*(j + 96)**2
Let t(u) be the first derivative of -u**6/6 + u**5/5 + 8*u**4 - 32*u**3/3 - 128*u**2 + 256*u - 328. Factor t(h).
-(h - 4)**2*(h - 1)*(h + 4)**2
Let j(r) = -3*r**2 - 3*r + 4. Let l(x) be the second derivative of 13*x + 0 + 2/3*x**3 + 1/3*x**4 - 5/2*x**2. Let w(t) = -5*j(t) - 4*l(t). Factor w(s).
-s*(s + 1)
Let f(b) = -9*b - 206. Let v(q) = -43*q - 1029. Let w(i) = -11*f(i) + 2*v(i). Let d be w(-16). Factor 2/9*s**4 + 2*s**2 + 8/9*s + 4/3*s**3 + d.
2*s*(s + 1)**2*(s + 4)/9
Suppose -99 = 5*d + 21. Let v be (3/d)/((-3)/6). Factor -1/4*r - 1/2*r**2 + v*r**3 + 1/2.
(r - 2)*(r - 1)*(r + 1)/4
Suppose 4*k + 2 = -2*w, -w - 15 = -k - 4*k. Factor 14*a**3 - 20*a**4 + 96*a + 29*a**k - 111*a - 4*a**3 + 5*a**5 - 9*a**2.
5*a*(a - 3)*(a - 1)**2*(a + 1)
Let u(a) be the third derivative of a**7/105 + 17*a**6/240 + a**5/5 + 13*a**4/48 + a**3/6 - 845*a**2. Let u(l) = 0. Calculate l.
-2, -1, -1/4
Let k(c) = -20*c + 5 - 13*c**2 + 6 - 8*c**2 + 9*c + c**3. Let d = -40 + 29. Let g(s) = 4*s**2 + 2*s - 2. Let v(p) = d*g(p) - 2*k(p). Factor v(i).
-2*i**2*(i + 1)
Let p = 1888 + -1310. Factor 55*s + 36*s - 97 - s - p - 3*s**2.
-3*(s - 15)**2
Let o(x) be the third derivative of 0 - x**2 + 1/9*x**4 + 0*x - 1/270*x**5 - 4/3*x**3. Suppose o(k) = 0. What is k?
6
Let w(h) be the third derivative of h**6/120 + 7*h**5/20 - 3*h**4 - 804*h**2. Factor w(z).
z*(z - 3)*(z + 24)
Factor 2*v**4 - 19*v**2 - v**4 + 50*v**2 + 60*v**2 + 5*v**3 - 97*v**3.
v**2*(v - 91)*(v - 1)
Suppose -4*p + 103 = 95. Suppose -p*a = 2*r - 4, -14 + 17 = -3*r. Factor 3/2 - 15/2*w**2 + 4*w + 2*w**a.
(w - 3)*(w - 1)*(4*w + 1)/2
Factor 168*o - 88*o**3 + 3493*o**4 - 76*o**2 - 1747*o**4 - 1750*o**4.
-4*o*(o - 1)*(o + 2)*(o + 21)
Find r, given that -8/3*r + 5/3*r**3 - 1/9*r**5 + 0*r**4 - 10/9*r**2 + 0 = 0.
-4, -1, 0, 2, 3
Let c be (1 - (5 + -2)) + -2. Let f = 19 + c. Let -27*d - 3*d**2 - 7*d**2 + 2*d**2 + f + 2*d**2 = 0. Calculate d.
-5, 1/2
Let u(r) = -3205*r - 28843. Let d be u(-9). Factor 432/5*j**d - 15552/5*j + 186624/5