 Calculate s.
-6, -3, 0
Let d = 285 - 286. Let u be (d - 26/(-24))*165/110. Factor 0 + 3/8*j**3 - 1/2*j + 0*j**2 + u*j**4.
j*(j - 1)*(j + 2)**2/8
Let j(n) be the third derivative of n**6/48 + 19*n**5/12 + 805*n**4/48 - 5290*n**3/3 + 575*n**2. Factor j(h).
5*(h - 8)*(h + 23)**2/2
Let w(u) be the first derivative of 3*u**5/5 + 78*u**4 + 2805*u**3 + 7803*u**2 + 135. Factor w(x).
3*x*(x + 2)*(x + 51)**2
Let i(p) be the third derivative of 1 + 1/36*p**4 + 0*p**6 + 1/60*p**5 - 11*p**2 - 1/630*p**7 + 0*p + 0*p**3. Let i(q) = 0. Calculate q.
-1, 0, 2
Factor 12 - 34/5*s + 4/5*s**2.
2*(s - 6)*(2*s - 5)/5
Let s be ((-21)/35 - (-8)/80)*0. Let j(n) be the second derivative of -2/15*n**3 + s + 0*n**2 - 8*n - 1/6*n**6 - 2/5*n**4 - 9/20*n**5. Factor j(c).
-c*(c + 1)*(5*c + 2)**2/5
Suppose -185 = n - 199. Suppose -6*g = -8*g - h + 2, 2*g = -5*h - n. Suppose 0*r + 0 + 2/3*r**4 + 0*r**2 + 2/3*r**5 + 0*r**g = 0. What is r?
-1, 0
Let y = 2159/380 - 516/95. Factor y*a**5 + a**2 + 0 + 3/2*a**3 - 5/4*a**4 - 2*a.
a*(a - 2)**3*(a + 1)/4
Let x = 1/169119 - -5073563/1183833. Factor -36/7*j + x*j**2 - 3/7*j**3 - 216/7.
-3*(j - 6)**2*(j + 2)/7
Let f(h) = -h**2 - 4*h + 5. Let y be f(-4). Suppose 112*i - 2894 = 4274. Suppose 9*a**4 + 3*a**2 + 61*a**y - i*a**5 - 9*a**3 - 5 + 5 = 0. What is a?
0, 1
Let i(t) be the second derivative of -24/11*t**2 + 0 - 3/110*t**5 + 1/11*t**4 - 20*t + 4/11*t**3. Solve i(u) = 0.
-2, 2
Let d(u) be the first derivative of -162*u**5/5 + 279*u**4/14 + 70*u**3/3 + 41*u**2/7 + 4*u/7 - 393. Determine x so that d(x) = 0.
-2/7, -1/9, 1
Let 1/3*v**2 + 148/3 - 76/3*v = 0. Calculate v.
2, 74
Let h be (-429)/(-1485)*873/42 + 12/(-2). Let a(r) be the second derivative of 1/35*r**5 + 1/21*r**3 - 27*r + 0 + 0*r**2 + 5/84*r**4 + h*r**6. Factor a(k).
k*(k + 1)**2*(k + 2)/7
Let l be (-2 - 32/(-14)) + ((-5424)/(-224) - 21). Let j(h) be the first derivative of 21 + 5/3*h**3 + 3*h - l*h**2 - 1/4*h**4. Solve j(i) = 0 for i.
1, 3
Let p(b) be the first derivative of 20*b + 29 + 0*b**3 - 1/50*b**5 - 1/30*b**4 + 0*b**2. Let m(a) be the first derivative of p(a). Factor m(l).
-2*l**2*(l + 1)/5
Let c(w) be the first derivative of -w**6/3 - 24*w**5/5 - 53*w**4/2 - 68*w**3 - 72*w**2 + 443. Solve c(y) = 0.
-4, -3, -2, 0
Let y be (-21*(-6)/252)/(36/(-64)*-2). Suppose 2/9*r**3 - y*r**2 + 4 - 2*r = 0. What is r?
-3, 2, 3
Let b(i) be the first derivative of i**5/40 - 5*i**4/16 + 3*i**3/2 - i**2/2 - 3*i + 66. Let w(g) be the second derivative of b(g). Factor w(j).
3*(j - 3)*(j - 2)/2
Let q(v) = v**3 - 9*v**2 + 6*v - 55. Let p be q(16). Factor 4*z**2 - 6*z**2 - z**2 - p*z + 1830*z.
-3*z*(z + 1)
Let c be -1 + 8 + -1 + 2. Suppose 3*v = -13*d + 8*d + 6, 5*d = v - 2. Find y such that -4*y**4 + 2*y**4 + 15*y**5 - 15*y**3 - 6*y**v + c*y**4 = 0.
-1, -2/5, 0, 1
Factor -35/6 + 53/3*k - 1/2*k**2.
-(k - 35)*(3*k - 1)/6
Let q(i) be the first derivative of 4/21*i**3 - 1/21*i**4 - 1/210*i**5 - 3 + 1/420*i**6 + 0*i + 7*i**2. Let n(t) be the second derivative of q(t). Factor n(w).
2*(w - 2)*(w - 1)*(w + 2)/7
Let w = 1298105 - 1298100. Determine g so that -2/7*g**w - 100/7*g - 114/7*g**3 + 190/7*g**2 + 26/7*g**4 + 0 = 0.
0, 1, 2, 5
Let u(x) = -x**3 + 107*x**2 + 276*x - 1244. Let i(f) = -f**3 + 71*f**2 + 192*f - 830. Let h(o) = -8*i(o) + 5*u(o). Factor h(s).
3*(s - 14)*(s - 2)*(s + 5)
Factor 1/7*t**3 + 34/7*t + 37/7*t**2 - 72/7.
(t - 1)*(t + 2)*(t + 36)/7
Let k(v) = -12*v**2 + 612*v - 11844. Let t(q) = 2*q**2 + 2*q - 7. Let p(u) = -k(u) - 2*t(u). Let p(a) = 0. Calculate a.
77/2
Let l be (-3904 - -3900) + (2 - (-492)/57). Find c such that 124/19*c - 2/19*c**2 + l = 0.
-1, 63
Suppose d - 203 = 133. Suppose 4*f = -4*f + d. Factor -12*j - f*j**3 - 119*j**3 - 6*j + 48*j**4 - 103*j**3 - 141*j**2.
3*j*(j - 6)*(4*j + 1)**2
Let r(v) = 162*v**2 + 1433*v - 223. Let g be r(-9). Factor -1/2*p**3 + g*p**2 + 0*p + 0.
-p**2*(p - 4)/2
Suppose 2*o + 2 + 2 = 3*x, 0 = -5*o - 10. Suppose x*s = -2*b + 2*s + 4, b - 4*s = 2. Factor b*u**3 - u**4 + 10 - 5*u**3 + u**3 - 9 + 2*u.
-(u - 1)*(u + 1)**3
Find y, given that 29 - 17 - 15*y - 75*y**2 + 40 + 15*y**3 + 3*y**4 + 20 = 0.
-8, -1, 1, 3
Let p be -6 + ((-19)/(-2) - (-13 + 12)) + -2. Let y(m) be the first derivative of -16*m**2 - 14 + 34/3*m**3 - p*m**4 + 8*m. Factor y(r).
-2*(r - 2)*(r - 1)*(5*r - 2)
Let w(b) be the second derivative of b**4/24 - 562*b**3/3 + 315844*b**2 - 334*b - 7. Determine d so that w(d) = 0.
1124
Let n(f) be the first derivative of f**4 - 28*f**3/3 + 28*f**2 - 32*f + 8888. Factor n(w).
4*(w - 4)*(w - 2)*(w - 1)
Let v(x) be the first derivative of -x**6/6 - 236*x**5/15 + 27*x**4/4 + 158*x**3/9 - 2437. Let v(g) = 0. What is g?
-79, -2/3, 0, 1
Let m(z) be the second derivative of -z**6/180 - z**5/12 - 7*z**3/2 - 67*z - 2. Let f(s) be the second derivative of m(s). Suppose f(i) = 0. What is i?
-5, 0
Let r(v) be the second derivative of -v**3/3 - 7*v**2/2 + 14*v. Let k be r(-6). Factor -20*a**4 - 11*a**2 - 35*a**3 + 0*a**2 + a**2 + k*a.
-5*a*(a + 1)**2*(4*a - 1)
Suppose 0 = 4935*g - 4930*g - 360. Let d = 72 - g. Suppose -1/2*b**3 + d*b + 0 + 3/2*b**2 = 0. Calculate b.
0, 3
Factor 1513*j**3 - 10*j + 20 + 12*j**2 - 20 - 1515*j**3.
-2*j*(j - 5)*(j - 1)
Let g(s) be the second derivative of -2 + 1/16*s**4 + 55*s + 216*s**2 + 6*s**3. Factor g(d).
3*(d + 24)**2/4
Let y = -947/360 + 124/45. Let x(l) be the first derivative of 5/4*l**2 - 14 + y*l**4 + l + 2/3*l**3. What is d in x(d) = 0?
-2, -1
Factor 1507*l - 10*l**3 + 5*l**3 - 2032*l - 504 - 90*l**2 - 476.
-5*(l + 4)*(l + 7)**2
Suppose 23*z = 12979 - 12933. Let w(b) be the first derivative of b**4 + 0*b - 7/3*b**6 - 26 + 0*b**z - 2*b**5 + 0*b**3. Factor w(a).
-2*a**3*(a + 1)*(7*a - 2)
Let c be 48/3 + 21/(153/(-34) - -3). Find b such that 7/2 - 1/2*b**c + 3*b = 0.
-1, 7
Let v(u) be the first derivative of -u**6/40 + 11*u**5/18 - 29*u**4/6 + 4*u**3 - 15*u**2 - 2*u + 4. Let p(y) be the second derivative of v(y). Factor p(a).
-(a - 6)**2*(9*a - 2)/3
Let j(d) be the third derivative of -d**8/84 - 2*d**7/7 - 13*d**6/15 + 2*d**5/15 + 9*d**4/2 + 26*d**3/3 + 4*d**2 - 252. Determine z so that j(z) = 0.
-13, -1, 1
Suppose 0 = 2*r + 5*b, -5*r = -2*b - 15 - 14. Factor r*s + 8 + 312*s**2 - 308*s**2 + 7*s.
4*(s + 1)*(s + 2)
Suppose 25*p - 2*p - 3703 = 0. Solve p*l - 3*l**2 - 15*l + 51*l - 2883 - 11*l = 0 for l.
31
Let u(d) be the second derivative of -2*d**4/15 + 69*d**3 + 259*d**2/5 - 2*d + 741. Factor u(j).
-2*(j - 259)*(4*j + 1)/5
Suppose -6*g + 53 = -1. Let q be 2 - 0*(g/(-6) + 2). Factor -q*b + 41*b**4 - 2*b - 3*b**3 + b**5 + 0*b**3 - 39*b**4 - 8*b**2.
b*(b - 2)*(b + 1)**2*(b + 2)
Let z = 2317 + -2319. Let g be -46*z/20 + -3. Find t such that 96/5*t - 70*t**2 + 444/5*t**3 - 182/5*t**4 - g = 0.
2/13, 2/7, 1
Let r(n) = -23*n**2 + 172*n - 171. Let a(l) = 150*l**2 - 1033*l + 1026. Let j(c) = 2*a(c) + 13*r(c). Factor j(x).
(x - 1)*(x + 171)
Suppose 9*b - 6 = 12. Suppose -4*m + y + 4 = 0, -7*m = -b*m - 4*y + 6. Determine u, given that -m*u - 18*u**2 + 2 + 14*u**3 - 8*u**2 + 12*u = 0.
-1/7, 1
Let u be 3/9 + (-64)/(-24). Let t = 132/7 + -120/7. Factor -12/7*a**2 + t - 3/7*a + 3/7*a**u.
3*(a - 4)*(a - 1)*(a + 1)/7
Factor 404600*s**4 + 808520*s**3 + 2822682/7*s**2 + 2/7 - 4756/7*s.
2*(s + 1)**2*(1190*s - 1)**2/7
Let r(b) be the third derivative of b**5/80 + 103*b**4/96 + 17*b**3/12 + b**2 - 1869. Solve r(w) = 0.
-34, -1/3
Let x be 2/(-12) + (-57 - (-244714)/1860). Determine p so that 3*p**5 - 576/5*p + x*p**3 + 48*p**2 - 48 - 189/5*p**4 = 0.
-1, -2/5, 2, 10
Let l be 12/(-14) - (19 - 4464/112). Let j(q) be the second derivative of 0*q**3 - 5/126*q**7 + 1/12*q**5 + l*q + 0 + 0*q**4 + 0*q**2 + 0*q**6. Factor j(h).
-5*h**3*(h - 1)*(h + 1)/3
Suppose 20*s - 30365 - 6415 = 0. Factor 1839 - v**3 - s - 2*v**2 - v.
-v*(v + 1)**2
Let b(i) = 8*i + 2 + 2 + 26*i**2 - 24*i**2. Let p be b(-6). Factor p*d**3 + 22 - 36*d**2 + 8*d - 46 + 24.
4*d*(d - 1)*(7*d - 2)
Suppose 0 = -3*r + 33, 79*r + 97*r = o + 181*r - 57. Factor 363/4 + 3/4*v**o + 33/2*v.
3*(v + 11)**2/4
Let j(m) be the second derivative of -2*m**4 + 9/10*m**5 + 27/2*m**2 - 3*m**3 - 13*m - 1/10*m**6 + 0. Factor j(r).
-3*(r - 3)**2*(r - 1)*(r + 1)
Let k(y) = 225*y**2 + 6077*y + 56. Let l be k(-27). Factor 28/5*j + 16/5 + 2/5*j**3 + 14/5*j**l.
2*(j + 1)*(j + 2)*(j + 4)/5
Let x(p) be the third