derivative of -k**5/30 - 137*k**4/3 + 183*k**3 - 259*k**2 + 6*k + 2. Let b(o) = 0. Calculate o.
-549, 1
Suppose -21*b - 5*b + 86 - 34 = 0. Solve 3/4 + 1/2*k**3 - 1/2*k - k**b + 1/4*k**4 = 0 for k.
-3, -1, 1
Let z(f) be the second derivative of 3*f - 5/2*f**2 + 5/6*f**4 + 0 - 13/6*f**3. Let j(t) = -50*t**2 + 66*t + 26. Let c(n) = 6*j(n) + 28*z(n). Factor c(p).
-4*(p - 2)*(5*p + 2)
Let o = 35633/53436 + -3/17812. Factor -1/6*j**4 + 2/3*j**2 + o*j - 1/6*j**3 + 0.
-j*(j - 2)*(j + 1)*(j + 2)/6
Let -10/7*j**4 + 216/7*j**3 + 2280/7 + 6018/7*j**2 + 8072/7*j = 0. What is j?
-15, -1, -2/5, 38
Let y(v) = 5*v - 58. Let l be y(12). Let t(x) = x**2 + x - 2. Let w(r) = 4*r**2 + 6*r - 34. Let b(u) = l*w(u) - 6*t(u). Factor b(h).
2*(h - 4)*(h + 7)
Let g(m) be the second derivative of -m**4/20 + 141*m**3/10 + 213*m**2/5 - 66*m + 2. Factor g(s).
-3*(s - 142)*(s + 1)/5
Let x(i) be the first derivative of -i**6/120 + 233*i**5/160 - 29*i**4/16 - 36*i**3 - i + 133. Let a(u) be the third derivative of x(u). Solve a(s) = 0 for s.
1/4, 58
Let b be 225/60 - (10/(-135) + (-1958)/(-2376)). Factor -8/5 + 31/5*y - 28/5*y**2 - 4/5*y**b.
-(y + 8)*(2*y - 1)**2/5
Let n(y) be the second derivative of y**7/84 + y**6/180 - 23*y**5/120 - y**4/8 + 10*y**3/9 + 7*y**2/3 - y - 21. Find a such that n(a) = 0.
-7/3, -1, 2
Let m(y) be the third derivative of 5/112*y**8 + 6 + 0*y**3 + 1/6*y**6 - 1/6*y**7 + 0*y + 3*y**2 + 0*y**5 + 0*y**4. Factor m(l).
5*l**3*(l - 1)*(3*l - 4)
Let w = 12499 - 12496. Factor 0 - n**w + n - 1/2*n**4 + 1/2*n**2.
-n*(n - 1)*(n + 1)*(n + 2)/2
Let t(i) be the first derivative of i**5/25 - 16*i**4/15 + 128*i**3/15 + 10*i - 1. Let p(b) be the first derivative of t(b). Factor p(j).
4*j*(j - 8)**2/5
Let k(c) = c**2 - 5*c + 3. Let l(f) = -2*f**2 + 10*f - 4. Let d(p) = -4*k(p) - 3*l(p). Solve d(x) = 0 for x.
0, 5
What is a in -1020/7*a - 124/7*a**2 - 4/7*a**3 - 900/7 = 0?
-15, -1
Let x be (-500)/(-1680) + (-1)/(5 - 1). Let s(g) be the second derivative of 6*g + x*g**4 + 0 + 1/140*g**5 - 11/42*g**3 + 3/7*g**2. Let s(l) = 0. What is l?
-6, 1
Let u = -1049 + 1051. Let f(m) be the first derivative of 25 + 2/3*m + 1/18*m**3 + 5/12*m**u. Factor f(s).
(s + 1)*(s + 4)/6
Let v(a) be the first derivative of 4/5*a - 4/15*a**3 + 3/5*a**2 - 3/10*a**4 + 52. Factor v(p).
-2*(p - 1)*(p + 1)*(3*p + 2)/5
Let w = -50548 + 253892/5. Factor -96/5*i + w + 2/5*i**2.
2*(i - 24)**2/5
Let w(l) = -10*l**3 - 2510*l**2 - 788766*l + 791290. Let n(v) = -12*v**3 - 2509*v**2 - 788766*v + 791292. Let t(a) = -4*n(a) + 5*w(a). Factor t(o).
-2*(o - 1)*(o + 629)**2
Let 12/7*j**2 - 4/7*j**4 + 32/7*j**3 + 64/7 - 104/7*j = 0. What is j?
-2, 1, 8
Let l(p) = p**4 - p**3 - 2*p - 1. Let m(r) = -5*r**4 + 12*r**3 + 39*r**2 + 31*r + 6. Let h(b) = -2*l(b) - 2*m(b). Let h(x) = 0. Calculate x.
-1, -1/4, 5
Factor -30*i**2 - 11*i + 134*i**3 - 270*i**3 - 17*i + 134*i**3.
-2*i*(i + 1)*(i + 14)
Let m(z) = -12*z**2 - 77*z - 312. Let w(f) = 7*f**2 + 39*f + 156. Let c(a) = 4*m(a) + 7*w(a). Suppose c(j) = 0. What is j?
-4, 39
Factor -22*o - 44*o**2 - 56*o**3 + 11*o - 2 - 6*o - 34*o**4 + o - 8*o**5.
-2*(o + 1)**4*(4*o + 1)
Factor 1232080410624 + 3/2*u**4 - 5712*u**3 + 8156736*u**2 - 5176808448*u.
3*(u - 952)**4/2
Let f(q) = -2*q**3 + 50*q**2 - 232*q + 394. Let b(n) = -n**2 - 8*n + 1. Let t(x) = 6*b(x) + f(x). Solve t(c) = 0.
2, 10
Let q = -128349 - -128351. Factor 2/7*l**4 + 0*l + 0 + 0*l**q + 18/7*l**3.
2*l**3*(l + 9)/7
Suppose 0 = -5*p - 3*q + 67, 9*q + 5 = 4*q. Suppose 2*i + 4*a + 2 = -6, -4*i + p = -2*a. Factor -45/2*y - 15*y**3 + 3/2*y**5 + 30*y**i + 0*y**4 + 6.
3*(y - 1)**4*(y + 4)/2
Let v(p) = -2*p**4 - 33*p**3 + 62*p**2 + 108*p. Let w(x) = x**4 + 33*x**3 - 61*x**2 - 103*x. Let k(r) = -2*v(r) - 3*w(r). Factor k(t).
t*(t - 31)*(t - 3)*(t + 1)
What is a in -1164*a**2 - 12*a + 11*a + 1169*a**2 - 14*a = 0?
0, 3
Suppose -5*q - 2 = 4*x, -3*x - 10 = -7*x + q. Let p(k) be the third derivative of 1/12*k**4 - 1/120*k**5 + 0 + 9*k**x + 0*k**3 + 0*k. Solve p(d) = 0 for d.
0, 4
Let n(h) be the second derivative of h**5/30 - 131*h**4/18 + 259*h**3/9 - 43*h**2 + 55*h - 2. Suppose n(r) = 0. What is r?
1, 129
Let s = -1210355 + 1210359. What is m in -2*m**3 + 14/5*m**2 - 6/5*m + 2/5*m**s + 0 = 0?
0, 1, 3
Factor -323/3*s + 92/3 + 467/6*s**2 - 5/6*s**3.
-(s - 92)*(s - 1)*(5*s - 2)/6
Let s = 6254 + -31269/5. Let a(g) be the second derivative of -4/15*g**6 - 22/3*g**3 + 43*g + 6*g**2 - s*g**5 + 0 + 11/3*g**4. Determine o, given that a(o) = 0.
-3, 1/2, 1
Solve 37*m**3 - m**4 + 17 - 38*m + 6*m - 5*m + 19 - 31*m**2 - 4*m**2 = 0.
-1, 1, 36
Let m(w) = 7*w - 12. Let v be m(6). Factor -v*u**3 - 5*u**4 + 594*u**2 + 599*u**2 - 1238*u**2.
-5*u**2*(u + 3)**2
Let f(d) be the second derivative of -d**4/54 - 65*d**3/27 - 550*d**2/9 + 5720*d. Factor f(z).
-2*(z + 10)*(z + 55)/9
Let t(a) be the first derivative of -a**5/10 - a**4/2 + a**3 + 9*a**2 + 27*a/2 - 1990. Factor t(p).
-(p - 3)*(p + 1)*(p + 3)**2/2
Let l(n) be the second derivative of 2*n**7/21 + 86*n**6/5 + 1643*n**5/5 + 3683*n**4/3 - 8544*n**3 + 14720*n**2 - 2*n - 413. Find v such that l(v) = 0.
-115, -8, 1
Let g(u) be the first derivative of u**5/5 - 2*u**3/3 + u + 14. Factor g(b).
(b - 1)**2*(b + 1)**2
Let x(s) be the first derivative of -28/5*s**5 + 0*s - 16*s**4 - 44/3*s**3 - 4*s**2 - 37. Factor x(t).
-4*t*(t + 1)**2*(7*t + 2)
Let i(j) be the third derivative of j**7/840 - 11*j**6/60 + 341*j**5/80 - 303*j**4/8 + 225*j**3/2 + 10*j**2 + 4*j - 2. Find z such that i(z) = 0.
1, 6, 75
Let q(y) be the first derivative of -y**4 + 76*y**3/3 + 2*y**2 - 76*y - 1340. Factor q(z).
-4*(z - 19)*(z - 1)*(z + 1)
Let f be 57 - ((-4)/6)/(32/144). Factor f*n - 33/2*n**2 + 3/2*n**3 - 72.
3*(n - 4)**2*(n - 3)/2
Determine m, given that 509/6*m + 169 + 1/6*m**2 = 0.
-507, -2
Suppose 3*u = -4*q + 24, -22*q + 21*q - 5 = -2*u. Factor 171*y**3 - 159*y**q - 191*y**2 + 19*y**2 - 14 - 38 + 212*y.
4*(y - 13)*(y - 1)*(3*y - 1)
Let j(f) be the first derivative of 153 - 3/32*f**4 + 0*f + 1/8*f**3 - 3/40*f**5 + 3/16*f**2. Solve j(u) = 0 for u.
-1, 0, 1
Let l(y) be the third derivative of y**7/525 + y**6/75 - 8*y**5/15 + 16*y**4/5 - 82*y**2 - 7*y. Factor l(a).
2*a*(a - 4)**2*(a + 12)/5
Let q(v) be the third derivative of -v**5/90 - 13*v**4/36 + 56*v**3/3 + 105*v**2 - 2. Factor q(c).
-2*(c - 8)*(c + 21)/3
Let n = -5664 + 5666. Let b(i) be the first derivative of 0*i + 8 + 1/2*i**n - 1/6*i**3. Find d such that b(d) = 0.
0, 2
Let l = -182522 + 2372788/13. Let l*z**4 - 36/13*z**2 + 8/13*z**3 + 40/13*z - 14/13 = 0. Calculate z.
-7, 1
Let o(w) be the first derivative of w**6/2 + 3*w**5/5 - 57*w**4/2 - 110*w**3 - 321*w**2/2 - 105*w - 4784. Let o(u) = 0. Calculate u.
-5, -1, 7
Let t(y) be the first derivative of 54 - 2/3*y**2 + 0*y - 4/9*y**3. Factor t(d).
-4*d*(d + 1)/3
Let h(o) be the third derivative of -o**5/330 + 46*o**4/11 + 6*o**2 - 435*o. Suppose h(b) = 0. What is b?
0, 552
Let z be -22 + 8 - -146*9/90. Let -33/5*x**2 + 27/5*x - 3/5*x**3 + 54/5 + z*x**4 = 0. Calculate x.
-3, -1, 2, 3
Find c such that 194*c**2 + 111*c**2 + 130 - 70*c**3 - 420*c + 5*c**4 + 50 = 0.
1, 6
Let f(l) be the second derivative of -l**6/15 + l**5/5 + 19*l**4/6 - 20*l**3/3 - 880*l + 2. Factor f(v).
-2*v*(v - 5)*(v - 1)*(v + 4)
Suppose 860*x - 170 = 832*x - 30. Let r(u) be the second derivative of 3/20*u**x + 0 + 3/2*u**2 + 4*u - 1/4*u**4 - 1/2*u**3. Factor r(w).
3*(w - 1)**2*(w + 1)
Let b(x) be the first derivative of -x**4/4 - x**2/2 - x - 2. Let k(w) = -4*w**2 + w**2 - 3*w**2 + w + w**2 + 8*w**2 - 3. Let r(u) = b(u) + k(u). Factor r(g).
-(g - 2)**2*(g + 1)
Let x(w) be the first derivative of -2*w**3/15 + 16*w**2/5 + 90*w - 3969. Factor x(f).
-2*(f - 25)*(f + 9)/5
Let y(u) = -2*u**2 + 15*u - 13. Let c be y(6). Factor -19*f**2 - c*f**4 + 5*f**4 + f**4 + 3*f**4 + 20*f**3 - 5*f**4.
-f**2*(f - 19)*(f - 1)
Let d(w) be the third derivative of w**8/1848 + 46*w**7/1155 + 313*w**6/660 - 828*w**5/55 + 972*w**4/11 + 30*w**2 + 13. Solve d(p) = 0.
-27, 0, 4
Let c(h) be the third derivative of -h**6/120 - 2*h**5/15 - 5*h**4/8 - 1277*h**2. Factor c(x).
-x*(x + 3)*(x + 5)
Solve 3136/5 + 2/5*q**5 - 328/5*q**2 + 154/5*q**3 + 36/5*q**4 - 1848/5*q = 0 for q.
-8, -7, 2
Let c(y) be the second derivative of 1/10*y**6 + 0*y**4 + 3/10*y**5 - 2 + 0*y**2 - 3*y + 0*y**3. Factor c(r).