0. Calculate b.
0, 20
Let x(k) be the third derivative of k**8/20160 + k**7/504 + 7*k**6/240 + k**5/20 - 7*k**4/8 + 213*k**2. Let p(l) be the third derivative of x(l). Factor p(c).
(c + 3)*(c + 7)
Let n(g) = 9*g**2 - 4*g - 1. Let c(b) = -13*b**2 + 16108*b + 12960502. Let a(v) = c(v) + 2*n(v). Factor a(t).
5*(t + 1610)**2
Let r(l) be the second derivative of -6*l**5 + 0*l**6 - 120*l**3 + 40*l**4 + 1/14*l**7 + 75*l + 0 + 192*l**2. Factor r(g).
3*(g - 2)**4*(g + 8)
Let g(k) be the third derivative of -12*k + 1/80*k**6 + 0*k**4 - 1/40*k**5 + 0*k**3 - k**2 + 0. Solve g(d) = 0 for d.
0, 1
Suppose -3*b + 56 = 2*l, -161 = -5*l + 5*b - 2*b. Determine x, given that -360 - 644*x - l*x**2 + 944*x - 39*x**2 + 5*x**3 = 0.
2, 6
Let j(z) = -25*z**2 - 4518*z + 1303. Let y(h) = 26*h**2 + 4518*h - 1304. Let p(b) = 12*j(b) + 11*y(b). Factor p(l).
-2*(l + 323)*(7*l - 2)
Let x(w) = 450*w**2 + 9680*w - 10125. Let z(t) be the third derivative of -t**6/120 + t**5/60 + t**4/24 - 8*t**2. Let i(s) = x(s) - 5*z(s). Factor i(h).
5*(h - 1)*(h + 45)**2
Let k(q) be the third derivative of -1/132*q**4 + 0 - q**2 + 0*q + 2/33*q**3 - 1/330*q**5. Factor k(p).
-2*(p - 1)*(p + 2)/11
Factor -200/3*z + 27*z**3 + 57*z**2 + 16.
(z + 3)*(9*z - 4)**2/3
Let z be 151/(-17) + -351 + 360. Solve 14/17 - 2/17*s**3 - 14/17*s**2 + z*s = 0.
-7, -1, 1
Let c be 1/((-1)/(-25))*-1. Let h(a) = -a**3 - 26*a**2 - 27*a - 50. Let d be h(c). What is w in 0*w**2 + 0*w + d + 6/5*w**4 - 3/5*w**3 = 0?
0, 1/2
Suppose 37*y + 12*y**2 + 9*y**2 - 18*y**2 + 61*y + 3840 + 154*y = 0. What is y?
-64, -20
Let r(m) be the second derivative of m**6/150 + 9*m**5/10 + 263*m**4/60 + 29*m**3/5 + 6*m - 89. Factor r(d).
d*(d + 1)*(d + 2)*(d + 87)/5
Let i(k) = 25*k**2 + 5294*k + 1409809. Let j(m) = 30*m**2 + 5290*m + 1409810. Let l(f) = 5*i(f) - 4*j(f). Factor l(q).
5*(q + 531)**2
Determine b, given that -286*b - 173*b + 180 + 0*b**2 - 103*b - 5*b**2 + 387*b = 0.
-36, 1
Let a(d) be the first derivative of -9/4*d**2 - 1/12*d**3 - 174 - 8*d. Factor a(c).
-(c + 2)*(c + 16)/4
Let a(p) be the third derivative of -p**6/120 - p**5/15 + 7*p**4/24 + 5*p**3/3 + 2*p**2 + 4*p - 86. Determine k, given that a(k) = 0.
-5, -1, 2
Let k(p) be the first derivative of 28*p**5/25 - 67*p**4/5 + 184*p**3/5 + 144*p**2/5 - 896. Find g such that k(g) = 0.
-3/7, 0, 4, 6
Let l(b) = -2*b**2 - 2*b + 4. Let d(n) = 13*n**4 - 59*n**3 + 46*n**2 + 34*n + 4. Let p(y) = -5*d(y) + 5*l(y). Find i such that p(i) = 0.
-6/13, 0, 2, 3
Let -4/5*l**5 - 24/5 - 4*l + 32/5*l**2 - 8/5*l**4 + 24/5*l**3 = 0. Calculate l.
-3, -1, 1, 2
Factor 6945/7*g**2 + 12406605875/7 + 16077675/7*g + 1/7*g**3.
(g + 2315)**3/7
What is s in 106474 - 5*s**2 + s**2 + 176550 + 8*s**2 - 2128*s = 0?
266
Let q(t) be the first derivative of t**3/15 + 11*t**2/2 - 174*t/5 + 2705. Factor q(p).
(p - 3)*(p + 58)/5
Determine t so that -10/3 + 1/3*t**2 + t = 0.
-5, 2
Suppose -92 = -53*j + 30*j. Let l(p) be the first derivative of 0*p - j*p**3 + 3*p**4 - 6 - 4/5*p**5 + 2*p**2. Determine z, given that l(z) = 0.
0, 1
Let c(q) be the second derivative of q**5/20 + q**4/4 - 104*q**3/3 + 5113*q. Factor c(z).
z*(z - 13)*(z + 16)
What is f in -5*f**2 + 294*f + 4300 + 0*f**2 + 179*f + 145*f + 217*f = 0?
-5, 172
Let w(n) = -17*n**2 - 4*n + 81. Let y(p) = -4*p**2 + 2*p - 1. Let i(m) = 2*w(m) - 8*y(m). What is r in i(r) = 0?
-17, 5
Suppose 59*h + 1054 = -3*h. Let x(w) = w + 19. Let q be x(h). Determine k so that 4/7 - 44/7*k**3 - 4/7*k - 36/7*k**q - 16/7*k**4 = 0.
-1, 1/4
Factor 13/3 - 23/9*s**2 + 16/9*s.
-(s + 1)*(23*s - 39)/9
Let l(p) be the third derivative of -p**9/362880 - p**8/60480 - p**7/30240 + 61*p**5/60 + 79*p**2. Let s(t) be the third derivative of l(t). Factor s(c).
-c*(c + 1)**2/6
Let z be (-66)/220*-2*80/72. Let 0*g**3 + 0 - 4*g + 14/3*g**2 - z*g**4 = 0. Calculate g.
-3, 0, 1, 2
Let x = -53 - -57. Suppose -10 = -2*l - 2*k, 4*l - k = x*k + 20. Let 13*c + 13*c + 42*c**2 - 11*c + 30*c**3 - 5*c**l - 2*c**2 = 0. Calculate c.
-1, 0, 3
Let z(o) be the second derivative of -o**7/630 - 3*o**6/20 - 115*o**4/12 - 98*o. Let g(a) be the third derivative of z(a). Factor g(k).
-4*k*(k + 27)
Let b(u) = u**3 - 2*u**2 - 8*u - 3. Let j be b(4). Let z be (-20 - j)*(0 + 5)/(-15). Solve 17/3*k - z*k**3 + 2 - 5/3*k**4 - 1/3*k**2 = 0.
-3, -1, -2/5, 1
Let m(h) = 2*h**3 + 37*h**2 + 14*h - 49. Let b be m(-18). Let z(t) be the first derivative of 9/2*t**2 - 3*t - 2*t**3 + b. Factor z(u).
-3*(u - 1)*(2*u - 1)
Let z(q) be the second derivative of 0*q**2 - 1/15*q**6 + 92 + 4/5*q**5 + 6*q**3 - q - 7/2*q**4. What is j in z(j) = 0?
0, 2, 3
Let k be (6/(-18))/((-7)/((-2268)/(-15))). Suppose -3*j = 6, 2*j - 11 = -3*c - 9. Let 108/5 - k*i + 3/5*i**c = 0. What is i?
6
Let o = -5951 - -5956. Let i(w) be the second derivative of -1/27*w**4 + 1/90*w**o - 7*w - 1/27*w**3 + 0 + 2/9*w**2. Factor i(f).
2*(f - 2)*(f - 1)*(f + 1)/9
Let z(l) be the first derivative of -1/3*l**3 + 0*l + 54 + 5/2*l**2. Find p such that z(p) = 0.
0, 5
Let x be (1/(-2))/((-56 + 10323/186)*(-2)/(-12)). Solve 3/4*s**4 + x*s**2 - 3*s - 15/4*s**3 + 0 = 0 for s.
0, 1, 2
Let a be (228/(-30) - -7)/(54/(-936)). Factor -2/5*i**2 + a*i + 0.
-2*i*(i - 26)/5
Let u(s) = 8*s + 172. Let p be u(-15). Let f = p + -47. Let -12/11*h**4 + 18/11*h + 28/11*h**3 + 2/11*h**f - 4/11 - 32/11*h**2 = 0. Calculate h.
1, 2
Let y(c) be the first derivative of 5*c**6/18 + 4*c**5/5 - c**4/3 - 2*c**3 - c**2/6 + 2*c - 4794. Suppose y(r) = 0. What is r?
-2, -1, 3/5, 1
Let c(v) = -44*v - 17. Let j be c(-1). Let s = 143/5 - j. Suppose -8/5*u + s - 2/5*u**2 + 2/5*u**3 = 0. Calculate u.
-2, 1, 2
Let h(w) be the third derivative of -w**7/840 + 19*w**6/480 - 11*w**5/20 + 25*w**4/6 - 56*w**3/3 + 1077*w**2. Suppose h(u) = 0. Calculate u.
4, 7
Let d(m) = 19*m**2 + 3*m - 3. Let z be d(1). Determine g, given that -21*g**3 + 3*g**4 - z*g**3 + 57*g**3 - 20*g**3 = 0.
0, 1
Let t(f) be the third derivative of f**7/5880 + 31*f**6/840 + 961*f**5/280 + 73*f**4/12 + 51*f**2 + 1. Let w(g) be the second derivative of t(g). Factor w(y).
3*(y + 31)**2/7
Let p(t) be the third derivative of 9/2*t**3 - 1/210*t**7 + 0 - 224*t**2 - 3/10*t**5 + 0*t**4 + 1/15*t**6 + 0*t. Solve p(y) = 0 for y.
-1, 3
Let v(g) be the second derivative of -g**5/130 - 5*g**4/26 + 34*g**3/39 - 4231*g. Factor v(x).
-2*x*(x - 2)*(x + 17)/13
Let b(q) be the second derivative of -q**5/60 - 80*q**4/9 - 25277*q**3/18 + 25921*q**2/3 + 55*q - 28. Factor b(j).
-(j - 2)*(j + 161)**2/3
Factor 187*o - 494*o - 293*o - 70*o**2 + 5*o**3.
5*o*(o - 20)*(o + 6)
Let x(i) be the third derivative of i**8/672 - 19*i**7/70 + 649*i**6/48 + 19*i**5/5 - 1083*i**4/4 + 2*i**2 + 1460*i. Suppose x(k) = 0. Calculate k.
-2, 0, 2, 57
Let z be (-2*(-2)/204)/((-30)/390*-13). Let j(r) be the third derivative of -21*r**2 + z*r**4 + 4/51*r**3 + 0 + 1/510*r**5 + 0*r. Find f such that j(f) = 0.
-2
Let j(s) = -s**2 + 189*s + 1630. Let x(b) = b**2 - 94*b - 860. Let p(w) = 6*j(w) + 11*x(w). What is c in p(c) = 0?
-16, -4
Let q = -720131/4 - -180033. Factor 0 + 15/4*t**2 - q*t.
t*(15*t - 1)/4
Let y(z) be the first derivative of z**3/7 + 93*z**2/14 + 72*z - 558. Suppose y(i) = 0. Calculate i.
-24, -7
Factor -57/2*z + 15 + 3/2*z**3 + 12*z**2.
3*(z - 1)**2*(z + 10)/2
Let k(d) be the second derivative of -2*d**6/15 - 29*d**5/5 - 26*d**4 + 8*d**3/3 + 208*d**2 - 2*d - 97. Factor k(r).
-4*(r - 1)*(r + 2)**2*(r + 26)
Let b(s) be the third derivative of -s**5/15 - 313*s**4/3 - 195938*s**3/3 + 15*s**2 + 12*s. Factor b(y).
-4*(y + 313)**2
Suppose 1/2*o**4 + 0 - 5*o**2 - 3/2*o**3 + 0*o = 0. What is o?
-2, 0, 5
Suppose 51 = 9*p + 6. Solve p*j**4 + 30*j**3 - 2810 - 160*j + 2810 = 0 for j.
-4, 0, 2
Suppose -4*t = -3*g - 17, -98 = t - 103. Factor -g + 6/5*y - 1/5*y**2.
-(y - 5)*(y - 1)/5
Let z(l) = -58*l + 122. Let a be z(2). Let d be (1 + 2)*(-2)/(-3). Let 7*q**3 + 4*q**2 - 10 - d*q**5 + 118*q - 136*q + 13*q**3 + a*q**4 = 0. What is q?
-1, 1, 5
Let n(u) be the third derivative of 31/72*u**4 - 7/45*u**5 - 11*u**2 - 1/3*u**3 - u + 2/315*u**7 - 1/360*u**6 + 0. Solve n(d) = 0 for d.
-3, 1/4, 1, 2
Let c(f) be the first derivative of -f**7/1680 + f**6/720 + f**5/120 - 15*f**3 - f - 118. Let s(j) be the third derivative of c(j). Factor s(v).
-v*(v - 2)*(v + 1)/2
Let v(j) be the first derivative of -j**6/21 + 2*j**4/7 - 315