o - 1/7*o**5 + 0*o**2 + 2/7*o**3 - s*o**4.
-o**3*(o - 1)*(o + 2)/7
Let d(k) be the third derivative of -k**5/140 + 5*k**4/28 - 12*k**3/7 - 2793*k**2. Find x, given that d(x) = 0.
4, 6
Let o(h) = 152*h. Let b be o(-3). Let v = -5010/11 - b. Suppose 18/11*d**4 - 18/11*d**2 - 12/11*d + 0 + v*d**5 + 6/11*d**3 = 0. What is d?
-2, -1, 0, 1
Let w = -292 - -294. Find f such that -28*f**2 - 4 + 15*f**2 + 14*f**w = 0.
-2, 2
Let t be (-1)/6*(1036 + -1038). Solve 7/3*f**3 + 0 - 20/3*f**2 - t*f**5 + 4*f + 2/3*f**4 = 0.
-3, 0, 1, 2
Let r(i) be the first derivative of 1/7*i**4 + 80 - 8/7*i + 2/35*i**5 - 2/7*i**3 - 8/7*i**2. Suppose r(w) = 0. Calculate w.
-2, -1, 2
Determine n so that -285/2*n**3 - 147/2*n - 509/2*n**2 + 73/2 + 2*n**4 = 0.
-1, 1/4, 73
Suppose -3/7*k**3 + 0 - 18/7*k**2 + 0*k = 0. What is k?
-6, 0
Let a(f) be the third derivative of -17/4*f**4 - 9/20*f**5 + 268*f**2 + 0 + 0*f + 1/40*f**6 - 12*f**3. Factor a(q).
3*(q - 12)*(q + 1)*(q + 2)
Let w(j) = -j**2 - j - 2. Let k(v) = 3*v**2 + v + 2. Let f(m) = -m**2 + 38*m - 99. Let n be f(35). Let z(s) = n*w(s) + 3*k(s). Let z(x) = 0. Calculate x.
-1, 2
Suppose -43 = -2*b + 5*y, 0 = -4*b - 0*y - 3*y + 21. Let r be 6 + b + 220/(-16). Let -r + 7/4*v - 1/2*v**2 = 0. Calculate v.
1, 5/2
Let o(n) be the second derivative of n**6/45 - 119*n**5/30 + 533*n**4/2 - 7605*n**3 + 39546*n**2 - 232*n + 1. Solve o(u) = 0 for u.
2, 39
Suppose -12*f + 13 = -20 - 3. Let x(i) be the second derivative of -1/15*i**4 - 90*i**2 + 4*i**f + 3*i + 0. Let x(u) = 0. What is u?
15
Factor 4/7*t**3 + 27/7*t + 1/7*t**5 + 0 + 10/7*t**4 - 6*t**2.
t*(t - 1)**2*(t + 3)*(t + 9)/7
Factor 18/11*p**4 + 3360*p + 13298/11*p**2 + 28800/11 + 84*p**3.
2*(p + 24)**2*(3*p + 5)**2/11
Let h = 166625/39 + -4272. Let o = h + -89/741. Let -10/19*u - o*u**2 - 4/19 = 0. Calculate u.
-1, -2/3
Let j(y) be the second derivative of 3/2*y**3 - 1 + 2*y - 3*y**2 - 3/20*y**5 + 0*y**4. Factor j(b).
-3*(b - 1)**2*(b + 2)
Let c(z) = -56*z - 21*z**3 + 24*z - 4*z**3 + 62*z**2 + z**4. Let u(f) = -4*f**4 + 126*f**3 - 310*f**2 + 160*f. Let v(s) = 14*c(s) + 3*u(s). Factor v(o).
2*o*(o - 1)**2*(o + 16)
Suppose 2 = 4*g + q - 21, 5*q - 15 = 0. Suppose g*f - 6154 = 2646. Factor -640*c - 109*c**2 - 484*c**4 - 64 - 1281*c**2 + 142*c**2 + f*c**3.
-4*(c - 2)**2*(11*c + 2)**2
Suppose 4*v + 2*f - 7 = 3*v, -4*v + 7 = f. Let j be ((-21)/(-21))/(12/9 - v). Solve 1/2*t**2 + 1/6 + 5/6*t - 3/2*t**j = 0.
-1/3, 1
Let n(t) be the first derivative of t**6/10 - 51*t**5/25 - 9*t**4/20 + 913*t**3/5 - 2541*t**2/5 + 2028. Suppose n(l) = 0. What is l?
-7, 0, 2, 11
Let -2905*v + 682 + 624*v**2 + 2*v**4 + 1069 + 4697*v - 183 + 64*v**3 = 0. What is v?
-14, -2
Let r = 896417/13 - 68955. Suppose 10/13 - 12/13*j + r*j**2 = 0. What is j?
1, 5
Let -1838*u**3 + 21*u + 1837*u**3 + 36*u - 56*u**2 = 0. Calculate u.
-57, 0, 1
Let h = -125652 - -499939/4. Let k = 668 + h. Determine d so that k*d**2 - 33/4 - 15/2*d = 0.
-1, 11
Let t(y) = -2*y**2 - 44*y + 56. Let m(h) = -h**2 - h - 2. Suppose -10*c - 20 = -7*c - x, 0 = 2*x - 10. Let u(n) = c*m(n) + t(n). Determine r so that u(r) = 0.
2, 11
Let s(g) be the first derivative of -2*g**5/5 + 55*g**4/6 - 560*g**3/9 + 220*g**2/3 + 192*g + 296. Find i such that s(i) = 0.
-2/3, 2, 8, 9
Let n(f) be the first derivative of f**7/5880 + f**6/360 + 2*f**5/105 + f**4/14 - f**3 + 6*f**2 - 40. Let a(w) be the third derivative of n(w). Factor a(j).
(j + 2)**2*(j + 3)/7
Let m(f) = -43*f**3 - 1710*f**2 - 6674*f - 6593. Let w(r) = -56*r**3 - 2280*r**2 - 8898*r - 8791. Let g(s) = -9*m(s) + 7*w(s). Factor g(k).
-5*(k + 2)**2*(k + 110)
Let s = 1/46 + 34/23. Let z be (39 + 0 - 34) + ((-62)/8 - (-4 + 1)). Suppose s*m + z*m**2 + 5/4 = 0. Calculate m.
-5, -1
Let d(i) be the second derivative of i**5/80 - 37*i**4/48 + 56*i**3/3 - 441*i**2/2 - 437*i - 2. Find h such that d(h) = 0.
9, 14
Suppose -1658 - 128*s + 1069 + 845 - 48*s**2 + 32*s**3 - 4*s**4 = 0. What is s?
-2, 2, 4
Let q(a) be the first derivative of a**7/1260 - a**6/270 - a**5/36 + a**4/6 - a**3/3 + 11*a**2 + 47. Let i(s) be the third derivative of q(s). Solve i(y) = 0.
-2, 1, 3
Let i(t) be the third derivative of 0 + 0*t**3 + 2*t + 7/24*t**4 - 18*t**2 + 1/360*t**5. Factor i(w).
w*(w + 42)/6
Let w = -109 + 123. Factor 184*h**2 + 2 - 89*h + w*h**3 - 30*h**3 + 9.
-(h - 11)*(4*h - 1)**2
Let a(u) be the first derivative of 1/2*u**3 + 1/4*u**2 - 1/8*u**4 - 3/2*u + 130. Factor a(j).
-(j - 3)*(j - 1)*(j + 1)/2
Let r(h) be the third derivative of 2*h**7/175 + 14*h**6/15 - 131*h**5/15 + 14*h**4 + 408*h**3/5 - 13*h**2 + 2*h - 28. Solve r(d) = 0 for d.
-51, -2/3, 2, 3
Let q be (-6)/45 - (-460)/75. Suppose -2*y = 2*z - q, 2 = -32*z + 34*z - 2*y. Determine g so that 0*g + 2/13*g**z - 8/13 = 0.
-2, 2
Let s(p) be the second derivative of 115*p + 19/5*p**2 + 0 - 7/10*p**3 + 1/60*p**4. Suppose s(f) = 0. Calculate f.
2, 19
Let j(g) be the first derivative of g**6/4 - 63*g**5/5 - 99*g**4/2 - 67*g**3 - 135*g**2/4 - 1675. Let j(k) = 0. What is k?
-1, 0, 45
Let p be ((-22)/88)/(730/744 - 1). Let g = p + -13. Factor 0*c**2 + 2/7*c**4 + 0 + g*c**3 + 0*c.
2*c**3*(c + 1)/7
Let 24642*b**2 + 0 + 222*b**3 + 911754*b + 2/3*b**4 = 0. Calculate b.
-111, 0
Let q(y) be the first derivative of -1/2*y**2 - 38 - 1/30*y**6 - 8/25*y**5 + 0*y - 9/10*y**4 - 16/15*y**3. Factor q(c).
-c*(c + 1)**3*(c + 5)/5
Let u = 22859 + -114291/5. Factor -8/5*r - 4/5 - u*r**2.
-4*(r + 1)**2/5
Suppose 5*v - 2*m - 428 = 395, -m = v - 159. Suppose -8*o + v = -45. Let -j**3 - 59*j + 19*j**2 + 5*j - o*j - 77 - 23 = 0. Calculate j.
-1, 10
Let b = -3768/125 - -26876/875. Suppose -20/7 - b*o**2 + 26/7*o - 2/7*o**3 = 0. Calculate o.
-5, 1, 2
Suppose 37 + 155 = 32*k. Let x(o) be the second derivative of 1/36*o**4 + 3/2*o**2 + 0 - k*o + 1/3*o**3. Factor x(z).
(z + 3)**2/3
Suppose 55*h - 486 = 504. Let x(f) be the second derivative of -7/30*f**3 - 1/12*f**4 + h*f + 1/25*f**5 + 1/5*f**2 + 0. Factor x(o).
(o - 2)*(o + 1)*(4*o - 1)/5
Let r(i) be the second derivative of i**6/255 + 13*i**5/85 + 44*i**4/51 + 63*i + 10. Find v, given that r(v) = 0.
-22, -4, 0
Let k(t) be the first derivative of -t**6/90 - 2*t**5/5 - 10*t**4/3 + 4*t**3/3 - 4*t**2 + 118. Let j(p) be the third derivative of k(p). Factor j(x).
-4*(x + 2)*(x + 10)
Suppose -4*c = 4*t - 672, -3*c - 115 = -t + 69. Factor -14*j**3 - t*j**2 + 224*j - 192 + 48 - 776*j.
-2*(j + 6)**2*(7*j + 2)
Factor 6256/9*j - 2446096/9 - 4/9*j**2.
-4*(j - 782)**2/9
Suppose 28/3*u**3 - 2/3*u**4 + 224/3*u - 40 - 130/3*u**2 = 0. Calculate u.
1, 2, 5, 6
Let t = 5134 + -15394/3. Let n(f) be the first derivative of -f**4 + 3 + 3/5*f**5 - 1/12*f**6 - 16*f - t*f**3 + 12*f**2. Factor n(b).
-(b - 2)**4*(b + 2)/2
Let f(g) be the third derivative of 5*g**8/672 + 13*g**7/84 - 15*g**6/16 + 47*g**5/24 - 5*g**4/3 - 96*g**2 - 2*g + 4. Let f(l) = 0. Calculate l.
-16, 0, 1
Let c be 17/5 - ((-984)/(-60) + -16). Let s(n) be the first derivative of 1/5*n**5 + 0*n**2 + 11 + 0*n**4 + 0*n - 1/3*n**c. Factor s(g).
g**2*(g - 1)*(g + 1)
Suppose 936*f - 2 = 935*f. Solve 78*j - 346*j + 38*j - 13 - 8*j**f + 71 = 0 for j.
-29, 1/4
Solve 3102*l**2 - 63*l**3 + 3/8*l**4 + 138624 - 38304*l = 0 for l.
8, 76
Let w(g) be the third derivative of g**6/24 + 17*g**5/12 + 35*g**4/3 + 130*g**3/3 + 2*g**2 - 880. Suppose w(b) = 0. What is b?
-13, -2
Let k be (-1*(0 + 1))/(4/(-408)). Let q = k - 100. Suppose 6*a + 21*a**q + 4*a**3 + 10*a - 37*a**2 = 0. What is a?
0, 2
Let v = 464 - 434. Suppose 13*l = v*l - 4*l. Factor 1/7*i**2 + l - 3/7*i.
i*(i - 3)/7
Let l = -124 + 121. Let r(d) = -9*d**2 - 6*d + 11. Let x(m) = -m**2 - m + 1. Let b(n) = l*r(n) + 24*x(n). Factor b(c).
3*(c - 3)*(c + 1)
Let y(r) be the third derivative of -r**7/945 + r**6/135 + r**5/30 - 4*r**4/27 - 20*r**3/27 + 492*r**2. What is t in y(t) = 0?
-2, -1, 2, 5
Solve -27*w**2 - 6 + 4*w**3 - 134 - 200 + 428*w - 65*w**2 = 0.
1, 5, 17
Let u be (5 + 1)/((-7 - -10)/(-3) - -3). Suppose -2/11*b**2 + 4/11*b + 0 - 2/11*b**u = 0. Calculate b.
-2, 0, 1
Let t be 92630/3245 + 12/(-22). Let y(o) be the second derivative of -t*o - 3/50*o**5 - 1/50*o**6 + 3/10*o**2 + 1/5*o**3 + 0*o**4 + 0. Factor y(m).
-3*(m - 1)*(m + 1)**3/5
Let j be (-16)/6*-6 - (-3 - 0). Factor 7*a - 5*a**2 - 5*a**2 + 2*a**3 - j*a.
2*a*(a - 6)*(a + 1)
Let f(u) be the first derivative of -24 + 