4)**2
Factor -128*h**5 - 2*h**4 - 9*h**3 - 10*h**4 + 61*h**5 + 64*h**5.
-3*h**3*(h + 1)*(h + 3)
Factor 81 - 87/2*y + 3/2*y**2.
3*(y - 27)*(y - 2)/2
Let a = 45654/12665 + -12/2533. Solve 1/5*v**4 + 108/5*v**2 + a*v**3 + 216/5*v + 0 = 0 for v.
-6, 0
Find u such that -36/5 + 6/5*u + 8/5*u**3 + 10*u**2 = 0.
-6, -1, 3/4
Factor -23*y + 1/4*y**2 + 529.
(y - 46)**2/4
Let r be (-3)/(6 - (21 + -7)). Determine m so that -1/8*m**2 + r*m - 1/4 = 0.
1, 2
Let d(f) be the second derivative of f**8/560 - f**6/60 + f**4/8 - 4*f**3 - 15*f. Let b(a) be the second derivative of d(a). Suppose b(x) = 0. What is x?
-1, 1
Let r(q) be the third derivative of -1/120*q**5 - 3*q**2 + 0 + 1/24*q**3 - 1/96*q**4 + 0*q. What is x in r(x) = 0?
-1, 1/2
Solve -9/2 - 1/2*q**2 - 3*q = 0 for q.
-3
Let j(w) = 2*w + 2. Let g be j(2). Let a(y) = -22*y**2 - 44*y + 34. Let t(h) = -2*h**2 - 4*h + 3. Let l(u) = g*a(u) - 68*t(u). Factor l(i).
4*i*(i + 2)
Let c(q) be the first derivative of q**4 + 100*q**3/3 + 94*q**2 + 92*q + 173. Factor c(k).
4*(k + 1)**2*(k + 23)
Let l(f) = -3*f**3 + 22*f**2 + 108*f + 212. Let u(z) = 8*z**3 - 65*z**2 - 324*z - 637. Let p be -8 - (-3)/(-4 + 3). Let r(w) = p*l(w) - 4*u(w). Factor r(y).
(y + 6)**3
Let j(u) be the third derivative of u**6/105 + 97*u**5/210 + 50*u**4/7 + 48*u**3/7 - 80*u**2 + 1. Factor j(v).
2*(v + 12)**2*(4*v + 1)/7
Suppose 0 - 30*b**3 - 36*b + 22/3*b**4 + 54*b**2 - 2/3*b**5 = 0. Calculate b.
0, 2, 3
Let g(u) = -5*u - 3. Suppose -9*i = -7 + 16. Let n be g(i). Determine k, given that -4/7*k - 3/7*k**n + 1/7*k**3 + 0 = 0.
-1, 0, 4
Let o(v) = -v**3 - v**2 + 5*v - 19. Let t be o(-4). Let c(u) be the first derivative of 0*u**2 - 2*u + t + 2/3*u**3. Factor c(r).
2*(r - 1)*(r + 1)
Let a = -6035 + 18110/3. Let f be (-14)/(-8) - (-1)/4. Find z such that a*z - z**3 + 8/3*z**2 - f = 0.
-1, 2/3, 3
Let s(y) be the third derivative of y**6/30 - 9*y**5/5 + 28*y**4 + 392*y**3/3 + y**2 - 10*y. Let s(w) = 0. What is w?
-1, 14
Let g(o) be the third derivative of 0*o**3 - 5*o**2 + 0*o - 3/280*o**6 + 0*o**4 + 0 - 1/784*o**8 - 3/490*o**7 - 1/140*o**5. Solve g(n) = 0.
-1, 0
Find z, given that -459*z - 1536*z**2 - 170 - 420*z - z**3 - 8*z**3 - 142*z = 0.
-170, -1/3
Factor -10 + 16*c - 3/2*c**2.
-(c - 10)*(3*c - 2)/2
Suppose 2*x - 175 = -33*x. Let l(a) be the third derivative of -3/5*a**3 - 7*a**2 + 1/30*a**x + 0 + 1/20*a**4 + 1/300*a**6 + 0*a. Solve l(r) = 0.
-3, 1
Suppose -5*x = 3*y - 0*x - 15, -3*y + 36 = -2*x. Suppose -68 = -y*d - 48. Suppose -8/7*c**3 - 1/7*c + 0 + 6/7*c**d = 0. Calculate c.
0, 1/4, 1/2
Suppose -3*a = -u + 29, 2*a + 22 = -7*u + 5*u. Let f = a - -12. Factor 2/3 + 4/9*i - 2/9*i**f.
-2*(i - 3)*(i + 1)/9
Solve 2/3*z**4 + 26/3*z**2 - 6*z - 28/3 + 6*z**3 = 0.
-7, -2, -1, 1
Let z(v) = -v**3 + 6*v**2 + 2*v - 9. Let x be z(6). Suppose -3*u - 5*b + 0 = -x, 0 = 5*u - 5*b - 45. Factor 10*i - 3*i**2 - 2*i + i - u.
-3*(i - 2)*(i - 1)
Let q(s) be the third derivative of s**7/735 + s**6/60 + s**5/15 + 2*s**4/21 + 290*s**2. Factor q(y).
2*y*(y + 1)*(y + 2)*(y + 4)/7
Let m(d) be the third derivative of d**7/1890 + d**6/180 - 2*d**5/135 - d**4/36 + 7*d**3/54 + 78*d**2. Suppose m(g) = 0. Calculate g.
-7, -1, 1
Suppose 3*w - 30 + 24 = 0. Suppose 4*o = 3*o + w. Factor -2/9*s**4 + 0 - 128/9*s - 32/3*s**o - 8/3*s**3.
-2*s*(s + 4)**3/9
Let h be -2*5/(-450)*(2 - -4). Factor -h*q**2 + 0*q + 0 + 2/15*q**3.
2*q**2*(q - 1)/15
Factor 108*f - 4*f**4 + 132*f**3 + 60*f - 252*f**2 - 44*f.
-4*f*(f - 31)*(f - 1)**2
Let n = -1695 - -1697. Factor -2/9*s**n + 2/9*s + 2/9 - 2/9*s**3.
-2*(s - 1)*(s + 1)**2/9
Let d(f) be the second derivative of -f**4/18 + 7*f**3/3 - 20*f**2/3 + f - 53. Factor d(r).
-2*(r - 20)*(r - 1)/3
Suppose 4*q = -2*z - 102, q + 197 = -2*z - 2*z. Let h = -46 - z. Factor -5/2*m**h + 0 - 3/2*m**2 + m.
-m*(m + 1)*(5*m - 2)/2
Let y(t) = -t**3 - 14*t**2 + 3. Let z be y(-14). Suppose 4*n = -z*g, g - 12 = 4*g. Solve 0*l + 1/3*l**2 + 0*l**n + 0 - 1/3*l**4 = 0.
-1, 0, 1
Let w(o) = -o**3 + 7*o**2 - 7*o + 8. Let v be w(6). Let l(p) = 14*p - 392. Let i be l(28). Factor i - 2/7*f**v - 4/7*f.
-2*f*(f + 2)/7
Let d = -1 - -4. Suppose -2*z - 5*j + 21 = 0, -3*z + 3 = z - d*j. Determine o so that 4*o + 2*o - 4*o**3 + 6*o**2 + 2 + 3*o**z + 3*o**3 = 0.
-1
Factor -237*d + d**2 + 175*d - 1 + 62*d.
(d - 1)*(d + 1)
Let r be 8 + -11 + -1 + 3 - -17. Let f(m) be the first derivative of -4 + 4*m**2 - r*m - 1/3*m**3. Suppose f(k) = 0. Calculate k.
4
Let h = -17 + 86/5. Let s(n) be the second derivative of -2/15*n**3 - n + 1/30*n**4 + h*n**2 + 0. Factor s(o).
2*(o - 1)**2/5
Let u(j) = -24*j**3 + 42*j**2 + 19*j. Let y(q) = 196*q**3 + 17*q + 21*q**2 - 208*q**3 - 8*q. Let o(n) = 3*u(n) - 7*y(n). Determine w, given that o(w) = 0.
-1/4, 0, 2
Suppose -25 = -3*n + 4*m, 4*n = 4*m - 9*m - 8. Suppose p = -n*p + 56. Factor -p*o**4 + o**2 + o**2 + 12*o**4.
-2*o**2*(o - 1)*(o + 1)
Solve -26/23*w**2 - 24/23*w**3 + 0*w + 2/23 = 0 for w.
-1, -1/3, 1/4
Let w(m) be the second derivative of -m**6/1620 - m**5/540 - 4*m**3 - m. Let s(o) be the second derivative of w(o). Factor s(a).
-2*a*(a + 1)/9
Let z(w) = w + 1. Let o be z(-13). Let n be o/50*((-50)/15 - 0). Factor 0 + 7/5*u**4 + n*u + 4*u**2 + 23/5*u**3.
u*(u + 1)*(u + 2)*(7*u + 2)/5
Let f be -3*-10*6/810. Determine a so that 2/9*a**2 - 2/3*a + 2/3*a**3 + 0 - f*a**4 = 0.
-1, 0, 1, 3
Let o(x) be the third derivative of x**7/210 - x**6/30 - x**5/12 + 488*x**2. Factor o(q).
q**2*(q - 5)*(q + 1)
Let x(n) = -3*n**4 + n**3 + n**2 - 3*n. Let u(w) = -16*w**4 + 5*w**3 + 5*w**2 - 16*w. Let z(h) = -4*u(h) + 22*x(h). Factor z(d).
-2*d*(d - 1)**2*(d + 1)
Let r be (13/(-52))/(2*(-1)/16). Let q(x) be the first derivative of -8*x + 4 - 14*x**r + 16/3*x**3. Factor q(n).
4*(n - 2)*(4*n + 1)
Let m(f) be the third derivative of -f**6/280 + 31*f**5/140 - 255*f**4/56 + 225*f**3/14 - 5*f**2 - 2*f. Suppose m(r) = 0. What is r?
1, 15
Suppose 5*d = -15, -2*y = -y + 4*d + 4. Let u be y/36 + (-3 - -3). Factor -10/9*s - u*s**5 - 10/9*s**4 - 2/9 - 20/9*s**3 - 20/9*s**2.
-2*(s + 1)**5/9
Determine j, given that 3/4*j**2 - 24 - 3*j = 0.
-4, 8
Let c(z) = 8 + 10*z + 5*z**2 - 8 + 6 + 4. Let x(a) = -5*a**2 - 10*a - 12. Let n(r) = -6*c(r) - 5*x(r). Find d such that n(d) = 0.
-2, 0
Let k = -3/10 + 41/120. Let g(u) be the second derivative of -1/60*u**5 + 1/18*u**3 - 2*u + 0*u**2 - k*u**4 + 0. Factor g(x).
-x*(x + 2)*(2*x - 1)/6
Let a(x) be the first derivative of x**8/672 - x**7/420 - x**6/120 - 3*x**2 + 6. Let z(m) be the second derivative of a(m). Factor z(p).
p**3*(p - 2)*(p + 1)/2
Let i be (-140)/(-3120)*(-4)/(-14). Let s(l) be the second derivative of 0 + 1/130*l**5 - i*l**4 - 1/39*l**3 + 1/13*l**2 - 7*l. What is t in s(t) = 0?
-1, 1
Let q(m) be the first derivative of -m**3 - 6*m**2 - 12*m - 65. Find c such that q(c) = 0.
-2
Let v(r) be the third derivative of -r**8/840 - r**7/315 + r**6/450 + r**5/75 + r**4/180 - r**3/45 - 23*r**2. Suppose v(j) = 0. Calculate j.
-1, 1/3, 1
Let j(a) = 3*a + 38. Suppose -u - 33 = 2*u. Let h be j(u). Suppose 0*r + 3/4*r**3 + 0*r**2 + 3/4*r**h + 0 - 3/2*r**4 = 0. What is r?
0, 1
Let -44/7*q**3 - 38/7*q**2 + 0 + 12*q - 2/7*q**4 = 0. Calculate q.
-21, -2, 0, 1
Let x = 5006 + -35039/7. Determine p, given that 6/7*p + 9/7*p**2 + x*p**3 + 0 = 0.
-2, -1, 0
Suppose -1 + 41 - 4*v - 76*v**2 + 4*v**3 + 133*v**2 - 97*v**2 = 0. What is v?
-1, 1, 10
Let f(g) be the first derivative of 3*g**5/20 + 3*g**4/4 - 6*g**2 - 9*g - 12. Let j(l) be the first derivative of f(l). Factor j(r).
3*(r - 1)*(r + 2)**2
Let b be 2/(1/(-63)*2). Let i = -60 - b. Factor -1/4*x**i + 0 + 1/2*x - 1/4*x**2.
-x*(x - 1)*(x + 2)/4
Let b = 87/2 - 130/3. Let j(p) be the first derivative of 5 + 1/4*p**2 - b*p**3 + 0*p. Determine h, given that j(h) = 0.
0, 1
Let y(j) = -5*j**2 + 4*j. Let d be y(-2). Let s = d - -30. Factor 7/3*n - 5/3*n**s - 2/3.
-(n - 1)*(5*n - 2)/3
Let u(y) = -3*y**2 + 42*y + 98. Let a be u(16). Factor 2*t - 10/7*t**a - 6/7 + 2/7*t**3.
2*(t - 3)*(t - 1)**2/7
Let c(y) be the second derivative of 0*y**2 + 1/20*y**5 - 1/36*y**4 + 0 + 0*y**3 + 1/126*y**7 - 1/30*y**6 + 10*y. Solve c(n) = 0.
0, 1
Let h(s) be the second derivative of 0 - 1/24*s**4 + 1/160*s**5 + 5/48*s**3 - 1/8*s**2 - 5*s. Solve h(f) = 0.
1, 2
Let t(u) be the third derivative of u**5/12 - 5*u**4/6 + 5*u**3/2 - 447*u**2. Let t(