3/6*k.
(k - 3)*(k - 1)**4/6
Factor 222*y**2 - 148*y**2 + 2*y**4 - 104*y**2 - 8*y - 4*y**3 + 40.
2*(y - 5)*(y - 1)*(y + 2)**2
Factor -7/4*g**2 + 3*g + 1.
-(g - 2)*(7*g + 2)/4
Let u(g) be the third derivative of -g**7/315 + 53*g**6/60 + 107*g**5/30 + 161*g**4/36 - 1663*g**2. Factor u(o).
-2*o*(o - 161)*(o + 1)**2/3
Let q(t) be the second derivative of -t**6/120 - t**5/20 + 19*t**4/48 + 23*t**3/12 + 3*t**2 + 175*t + 1. Suppose q(d) = 0. What is d?
-6, -1, 4
Let i(u) = -640*u**2 + 3371*u - 4410. Let g(s) = 128*s**2 - 674*s + 882. Let x(w) = -22*g(w) - 4*i(w). Determine y, given that x(y) = 0.
21/8
Let h(p) be the second derivative of 5*p**4/12 + 19480*p**3/3 + 37947040*p**2 - 1938*p - 1. Factor h(s).
5*(s + 3896)**2
Find u such that 2*u - 5/2*u**2 - 1/2*u**4 - 11/4*u**3 + 0 = 0.
-4, -2, 0, 1/2
Let u(t) be the first derivative of 3*t**4/28 - 10*t**3/7 + 81*t**2/14 - 54*t/7 - 2114. Factor u(n).
3*(n - 6)*(n - 3)*(n - 1)/7
Let -1/8*c**2 + 56*c - 6272 = 0. Calculate c.
224
Determine i so that -68/19*i - 480/19 + 2/19*i**2 = 0.
-6, 40
Let w(f) be the second derivative of -73*f**5/50 - 2*f**4/15 + 781*f. Factor w(n).
-2*n**2*(73*n + 4)/5
Let c = -157247 - -1104574/7. Let r = c - 549. Solve r*t**3 + 0 + 4/7*t**2 + 2/7*t = 0 for t.
-1, 0
Let z = 50 - 37. Let v(k) = 3*k**2 - 38*k - 10. Let b be v(z). Factor 146 - b*o**2 - 18*o - 60 - 65.
-3*(o - 1)*(o + 7)
Let s be 2/(-7 - (8 + -16)). Factor 7 + 27 - 4*x**3 - 24*x + 1914*x**s + 30 - 1950*x**2.
-4*(x - 1)*(x + 2)*(x + 8)
Let x(v) be the second derivative of v**4/6 + 4*v**3 - 28*v**2 - 22*v - 17. Find d, given that x(d) = 0.
-14, 2
Let t(n) be the second derivative of -n**8/336 + n**7/24 - 5*n**6/144 + 5*n**4/12 + n**2/2 - 5*n - 5. Let i(v) be the third derivative of t(v). Factor i(w).
-5*w*(w - 5)*(4*w - 1)
Let j = -491884/21 + 70270/3. Determine w so that 0 - 2/7*w**4 + j*w**2 + 8/7*w**3 - 8/7*w = 0.
-1, 0, 1, 4
Suppose -27*w + 5*b = -28*w + 47, -3*b = 9. Let r be (4 - 1 - 279/w) + 2. Suppose 7/4*h + r*h**2 + 1 - 1/4*h**3 = 0. Calculate h.
-1, 4
Let u(j) be the third derivative of 99*j**2 - 1/630*j**7 + 11/180*j**5 + 0*j**6 + 0*j + 4/9*j**3 + 1/4*j**4 + 0. Suppose u(t) = 0. Calculate t.
-2, -1, 4
Let c(z) = -z**5 + 5*z**4 - z**3 - z**2 + 1. Let x(q) = -104*q**5 + 60*q**4 + 47*q**3 + 5*q**2 + 4. Let v(b) = -4*c(b) + x(b). Suppose v(i) = 0. What is i?
-3/10, 0, 1
Let m(z) be the first derivative of 17/3*z**3 - 54 + 5*z + 41/4*z**2 + 3/8*z**4. Factor m(i).
(i + 1)*(i + 10)*(3*i + 1)/2
Find p, given that 39312*p**2 - 5202*p**5 + 256*p**4 - 5172*p**5 + 17848*p - 5496*p**3 - 372455 - 72073 + 10370*p**5 + 8612*p = 0.
-3, 4, 21
Suppose -2*w - 313 = -o, 0*w = 5*o + w - 1521. Let s = 2139/7 - o. Let s - 4/7*t**2 - 2/7*t**3 + 2/7*t = 0. What is t?
-2, -1, 1
Solve -800/3 - 110/3*n + 1/6*n**3 + 2/3*n**2 = 0 for n.
-10, 16
Let y(a) = 54*a**3 + 2*a**2 - a. Suppose 3*g + 4*g - 7 = 0. Let v be y(g). Factor -49*r**4 + r**5 + 6*r**3 - r**3 + v*r**4.
r**3*(r + 1)*(r + 5)
Let l(z) = 12*z**3 - 5*z**2 - 65*z - 65. Let m = 24 + -21. Let n(t) = 12*t - 22 - 12*t + 4*t**m - 22*t - 2*t**2. Let b(r) = -6*l(r) + 17*n(r). Factor b(k).
-4*(k - 2)*(k + 1)*(k + 2)
Let q = -4501 + 4502. Let r = 10 + 14. Let p(h) = h**2 + h. Let s(n) = -28*n**3 - 128*n**2 - 104*n + 32. Let i(f) = q*s(f) + r*p(f). Factor i(v).
-4*(v + 2)**2*(7*v - 2)
Let p(b) = -2*b**2 + 1. Let u(y) = 21*y**2 - 1942*y + 942831. Let r(w) = 30*p(w) + 3*u(w). Factor r(m).
3*(m - 971)**2
Let m(r) be the first derivative of 11*r**6/9 - 184*r**5/15 + 20*r**4 + 640*r**3/9 - 656*r**2/3 + 128*r + 11102. Let m(h) = 0. Calculate h.
-2, 4/11, 2, 6
Let u(v) = -8*v**3 - 17*v**2 - 6*v - 6. Let i be u(-10). Suppose -i*y + 6346*y = -16. Find m, given that -3 - 3/2*m + 3/2*m**y = 0.
-1, 2
Let t = 1075170 + -1075170. Factor t - 1/8*y**2 - 3/8*y.
-y*(y + 3)/8
Let l(z) be the first derivative of z**4 + 0*z + 0*z**2 - 2/15*z**5 + 0*z**3 - 1/9*z**6 - 78. Find w, given that l(w) = 0.
-3, 0, 2
Determine p, given that -68/7*p + 67/7 + 1/7*p**2 = 0.
1, 67
Let t(l) = 5 + 0*l + 5*l - 2*l + l. Let b be t(0). Determine x so that 3*x - 15 + 9*x + b - 24*x**2 + 22*x**2 = 0.
1, 5
Suppose 7 = -9*x + 70. Suppose 0 = -5*f + 4*o + 221, x*f = 5*f + 2*o + 88. Factor 5 - 45*n**5 - f*n + 150*n**2 + 119*n**3 - 288*n**3 - 61*n**3 + 165*n**4.
-5*(n - 1)**3*(3*n - 1)**2
Let z(t) be the first derivative of 1/2*t**4 - t**2 - 239 - 16*t + 16/3*t**3. Factor z(j).
2*(j - 1)*(j + 1)*(j + 8)
Let t(a) = 8*a**3 - 3*a**2 + a + 1. Let m be t(1). Let l = 9 - m. Factor 25*i + 27 + 14*i**2 - 11*i**l - 7*i.
3*(i + 3)**2
Let h(v) be the first derivative of 0*v + 2/9*v**3 + 28 + 4*v**2. Find y such that h(y) = 0.
-12, 0
Let c(s) = 6*s**4 + 159*s**3 + 138*s**2 - 756*s + 459. Let q(d) = -7*d**4 - 160*d**3 - 138*d**2 + 756*d - 459. Let j(i) = -4*c(i) - 3*q(i). Factor j(m).
-3*(m - 1)**2*(m + 3)*(m + 51)
Let m be -5*4/50*-5. Factor 2*f**3 - f**m - f - 2*f - f**2 - 9*f.
2*f*(f - 3)*(f + 2)
Let t(d) be the first derivative of 5/7*d**4 - 10/7*d**2 + 47 + 33/7*d**3 + 1/35*d**5 - 100/7*d. Find c such that t(c) = 0.
-10, -1, 1
Let h(q) be the third derivative of -q**6/120 + 7*q**5/10 - 171*q**4/8 + 722*q**3/3 - 222*q**2. Solve h(m) = 0.
4, 19
Suppose 0 = -0*k + 5*k + 15, -2*v - 4*k = -24. What is f in 3*f**4 + 21*f - 3*f**5 - 2 + 5 + 6*f**2 - 18*f**3 - v*f**4 + 6 = 0?
-3, -1, 1
Let h = 3996 - -336. Factor -h + 37*u + 63*u + 128*u - 3*u**2.
-3*(u - 38)**2
Let b be 3/(6/4) + 4/80*-35. Let x(a) be the first derivative of -34 + b*a**2 - 1/12*a**3 + 0*a. Suppose x(c) = 0. Calculate c.
0, 2
Let j(m) be the third derivative of -47*m**5/150 + m**4/120 - 448*m**2. Determine z, given that j(z) = 0.
0, 1/94
Let p(b) be the first derivative of -72*b**5/5 - 999*b**4/2 + 512*b**3/3 + 111*b**2 - 56*b - 3618. Suppose p(d) = 0. Calculate d.
-28, -1/3, 1/4, 1/3
Let c(i) be the third derivative of -33*i**2 + 2 + 1/40*i**6 + 1/140*i**7 + 0*i + i**3 - 3/40*i**5 - 1/4*i**4. Factor c(t).
3*(t - 1)**2*(t + 2)**2/2
Let d = 41 - 40. Let c be (-9)/6 + d/(-2) + 2. Determine x, given that -3*x**2 + c*x**2 + 225*x - 228*x = 0.
-1, 0
Let h = -271 - -354. Let 12*x + 218*x + 0*x**3 - 9*x**3 + h*x**2 - 46*x**3 + 5*x**5 - 8*x**2 - 15*x**4 + 120 = 0. What is x?
-2, -1, 3, 4
Let h be (8/12 + -4)*-3. Let z(m) = m**3 - 5*m**2 - 23*m + 1. Let g be z(8). Factor -h + 19 - g*r - 3*r**2 + 3.
-3*(r - 1)*(r + 4)
Let j = 63 - 58. Find p such that 75*p**2 - j*p**3 + 80*p - 3287 + 3287 = 0.
-1, 0, 16
Suppose 0 = -4*u - 0*u + 2*p + 4, 2*p = 0. Let w(o) = o**2 - 2*o + 1. Let b(k) = 30*k**2 - 490*k + 315. Let a(q) = u*b(q) - 15*w(q). Let a(h) = 0. What is h?
2/3, 30
Let q(m) be the first derivative of 0*m - 2/3*m**3 + 19*m**2 - 77. Factor q(o).
-2*o*(o - 19)
Suppose -9*g + 4*g + 15 = 0. Suppose 8 = g*i - i. Factor -6*a**2 + 0 - 66*a**3 + 0 - 3*a**i + 57*a**3.
-3*a**2*(a + 1)*(a + 2)
Let a = 182301 + -364589/2. Factor 3 + 7/2*s**2 - 1/2*s**3 - 1/2*s**4 + a*s.
-(s - 3)*(s + 1)**2*(s + 2)/2
Let u = 748 + -760. Let a be (3 - 2)*10*u/(-60). Solve 18/5*k + 6/5*k**a + 0 = 0.
-3, 0
Let u(i) = -17*i**2 - 81*i - 211. Let q(t) = -3*t**2 - 16*t - 43. Let l(g) = -11*q(g) + 2*u(g). Factor l(p).
-(p - 17)*(p + 3)
Let g(l) be the second derivative of -l**4/3 - 214*l**3 - 1276*l**2 - 120*l - 11. Factor g(q).
-4*(q + 2)*(q + 319)
Let r(p) = -552*p - 8275. Let s be r(-15). Let w(c) be the first derivative of -8/15*c**s + 0*c**2 + 2/9*c**6 - 46 - 8/3*c**4 + 0*c + 0*c**3. Factor w(u).
4*u**3*(u - 4)*(u + 2)/3
Solve 2535/2*k**4 + 3250*k**3 + 27 - 2197/4*k**5 + 1485/4*k + 3555/2*k**2 = 0.
-1, -3/13, 4
Suppose 76 - 46 = -6*s. Let x be s/20 - ((-915)/12 + 2). Factor 20*i**4 + 3*i**3 - 69*i**5 + x*i**5 + 12*i**3.
5*i**3*(i + 1)*(i + 3)
Let y(u) be the third derivative of -2/3*u**3 - 1/120*u**4 + 1/300*u**5 + 0 + 12*u**2 + 9*u. Factor y(d).
(d - 5)*(d + 4)/5
Let i be 18 + (-340)/17 + 6. Let w(o) be the first derivative of -54/25*o - 6/25*o**3 - 27/25*o**2 - 4 - 1/50*o**i. Factor w(k).
-2*(k + 3)**3/25
Let q(r) be the first derivative of -3*r**4/4 - 41*r**3 - 660*r**2 - 1200*r - 661. Factor q(i).
-3*(i + 1)*(i + 20)**2
Let o(v) = -v**2 - 4*v + 1. Let g(b) = -4*b**2 + 1386*b + 1398. Let c(r) = g(r) - 2*o(r). Factor c(u).
-2*(u - 698)*(u + 1)
Suppose 8 = 2*o + 8*z, 4*z - 26 + 30 = o. Factor -80/3*k**3 + 2000/3 + 40*k**2 + 