4 + 2*w**5 - w + 8*w**4 - a*w**2 - 2*w + w.
2*w*(w - 1)*(w + 1)**3
Determine i, given that -i**4 + i**2 + 2*i**2 - 4*i - 5*i**4 + 8*i**3 + 7*i**2 + 0*i = 0.
-1, 0, 1/3, 2
Suppose 2*z = 6, -43 - 38 = -5*u + 3*z. Suppose -5 = 5*s - 3*m, s + m + u = 5*m. Factor 0*t**s + 3*t - 3/4*t**3 + 0.
-3*t*(t - 2)*(t + 2)/4
Let x(n) = -2*n**2 + 11*n - 10. Let q be x(4). Let d be (9/54)/(q/4). Find j such that 0*j - 2/3*j**2 + 0*j**3 + d + 1/3*j**4 = 0.
-1, 1
Let z(i) = 7*i**2 - 55*i - 60. Let s(y) = -y**2. Let o(k) = -2*s(k) - z(k). Factor o(q).
-5*(q - 12)*(q + 1)
Factor 47/7*h - 1/7*h**2 - 90/7.
-(h - 45)*(h - 2)/7
Suppose 80 = -127*l + 132*l. Let q = l - 12. Solve 0*p + 2/11*p**q - 2/11*p**3 + 0 - 4/11*p**2 = 0.
-1, 0, 2
Let d = 46510 - 46508. Let h = 192 + -357/2. Factor -256*m**3 - 108*m + 288*m**d + h.
-(8*m - 3)**3/2
Let v be 4 - 1/((-3)/(-60)). Let u = v - -20. Determine j, given that -u*j**3 + 2*j**2 + 2*j**2 - 12*j**5 + 29*j**4 - 49*j**4 = 0.
-1, 0, 1/3
Suppose -z + 3 = -2*p, 7*z - 12*z + 15 = -4*p. Let i(t) be the first derivative of -1/12*t**3 - 7 - 1/4*t**2 + p*t. What is d in i(d) = 0?
-2, 0
Let w(x) be the second derivative of -3*x**5/40 + x**4/2 + 363*x. Factor w(h).
-3*h**2*(h - 4)/2
Let w(q) be the third derivative of -q**8/588 + 34*q**7/735 - 29*q**6/105 + 82*q**5/105 - 53*q**4/42 + 26*q**3/21 + 74*q**2. Solve w(a) = 0 for a.
1, 13
Let c be (-6)/8*(8 + (6 - 10)). Let m be c/2*280/(-126). Factor -2*u**2 - m*u - 4/3.
-2*(u + 1)*(3*u + 2)/3
Factor 200/7 + 2/7*l**2 - 40/7*l.
2*(l - 10)**2/7
Let c = 34752 - 34734. Determine r so that -c*r + 6 - 92/9*r**3 - 2/9*r**5 + 20*r**2 + 22/9*r**4 = 0.
1, 3
Let j = -6536 - -6540. Suppose 11/4*t**3 + 0*t - 1/2*t**2 + 0 - 4*t**j + 7/4*t**5 = 0. What is t?
0, 2/7, 1
Let c(u) be the third derivative of 4*u**2 - 1/20*u**4 - 1/20*u**5 + 0*u + 0 + 7/200*u**6 + 0*u**3. Solve c(f) = 0.
-2/7, 0, 1
Let y = 12002 - 180026/15. Factor 0 + y*h + 2/15*h**2.
2*h*(h + 2)/15
Let s(p) be the first derivative of -3 + 0*p**3 - 1/40*p**5 + 0*p + 3/2*p**2 + 0*p**4. Let t(v) be the second derivative of s(v). Let t(c) = 0. Calculate c.
0
Let i be 3/27*3 - (-603)/135. Suppose -b + 5*x - 22 = 0, 3*x - 45 + 27 = -b. Determine t so that -84/5*t + 3*t**5 + i + 42/5*t**2 + 69/5*t**b - 66/5*t**4 = 0.
-1, 2/5, 1, 2
Let j(n) be the first derivative of -n**7/1080 - n**6/1620 - 14*n**3/3 - 40. Let m(d) be the third derivative of j(d). Factor m(l).
-l**2*(7*l + 2)/9
Let s(x) = -7*x**4 + 12*x**3 + 65*x**2 + 50*x. Let g(y) = 15*y**4 - 25*y**3 - 130*y**2 - 100*y. Let a(f) = -2*g(f) - 5*s(f). Factor a(t).
5*t*(t - 5)*(t + 1)*(t + 2)
Let l(f) be the third derivative of 3*f**8/448 - f**7/28 + 7*f**6/120 - f**5/30 + 97*f**2. Solve l(j) = 0.
0, 2/3, 2
Let a(o) be the first derivative of -o**7/252 + o**6/180 + o**5/60 + 33*o + 4. Let f(b) be the first derivative of a(b). Let f(d) = 0. Calculate d.
-1, 0, 2
Let c(k) be the first derivative of k**6/120 - k**5/40 - k**4/48 + k**3/12 - 6*k - 11. Let f(o) be the first derivative of c(o). Factor f(w).
w*(w - 2)*(w - 1)*(w + 1)/4
Let y(m) be the first derivative of m**6/4 - 3*m**5/2 - 21*m**4/4 - 56. Factor y(s).
3*s**3*(s - 7)*(s + 2)/2
Let v be ((-64)/(-48))/(20/45). Factor 0 + 0*i - 1/4*i**v + 1/4*i**2.
-i**2*(i - 1)/4
Let d(f) be the second derivative of f**8/13440 - f**7/1680 + 5*f**4/6 + 16*f. Let a(h) be the third derivative of d(h). Factor a(l).
l**2*(l - 3)/2
Let q = 340/7 + -48. Let 0 - q*t**3 + 4/7*t + 4/7*t**2 - 4/7*t**4 = 0. Calculate t.
-1, 0, 1
Let c(w) = w + 11. Let g be c(-6). Suppose 26*o**3 - g*o**4 + 25*o**3 + o**4 - 132*o**2 - 11*o**3 - 64 + 160*o = 0. What is o?
1, 4
Suppose 6*p - 36 = 6. Let m be ((-4)/p)/(80/(-56)). Suppose 0*n**2 - 1/5*n**5 + 0*n - 1/5*n**3 - m*n**4 + 0 = 0. Calculate n.
-1, 0
Let z(n) be the first derivative of n**6/900 - 4*n**3 + 22. Let m(s) be the third derivative of z(s). Determine u, given that m(u) = 0.
0
Let s be 34/60 - 3/6. Let b(t) be the third derivative of -4/3*t**4 + 0 - 32/3*t**3 + 0*t - s*t**5 - 8*t**2. Factor b(h).
-4*(h + 4)**2
Let s be 5/(((-60)/70)/(16/(-70))). Factor 1/3*x**3 + s*x - 4/3*x**2 + 0.
x*(x - 2)**2/3
Let n = -30 + 30. Let a(o) be the second derivative of n*o**4 + 0*o**2 - 1/45*o**6 + 1/63*o**7 - 5*o - 1/15*o**5 + 0 + 0*o**3. Determine x, given that a(x) = 0.
-1, 0, 2
Determine x so that 27*x**2 + 6561 + 729*x + 1/3*x**3 = 0.
-27
Factor -27 - 3931*f**2 + 3930*f**2 + 5*f + 7*f.
-(f - 9)*(f - 3)
Suppose -v = 15*v + 128. Let d be ((12/4)/3)/(v/(-12)). Suppose 3/2*i**2 + 9/2*i - 9/2*i**3 - 3 + d*i**4 = 0. Calculate i.
-1, 1, 2
Let r(q) be the second derivative of -3*q - q**4 - 2/15*q**6 + 0*q**2 - 3/5*q**5 - 2/3*q**3 + 0. Find a such that r(a) = 0.
-1, 0
Factor -3*c**2 - 23302 + 1744*c - 22926 - 46368 - 55256 - 412*c.
-3*(c - 222)**2
Let s = 59 - 39. Find k, given that 30*k**2 + 184*k**4 - 179*k**4 - 4*k**3 + s*k - 40 - 21*k**3 = 0.
-1, 2
Let o(r) be the first derivative of -6*r**3 - 24*r + 18*r**2 + 3 + 3/4*r**4. Factor o(x).
3*(x - 2)**3
Let h be ((-19)/(-10) - 2)*2 - (-38)/190. Factor 1/6*i**3 + h*i**2 - 2/3*i + 0.
i*(i - 2)*(i + 2)/6
Factor 28*q**2 + 13*q**2 - 15*q - 46*q**2 + 20.
-5*(q - 1)*(q + 4)
What is n in 0 + 0*n**4 - 5*n**3 + 0*n**2 + 1/2*n**5 + 9/2*n = 0?
-3, -1, 0, 1, 3
Let c(r) = 2*r**2 + r - 7. Let n be c(-3). Suppose -3*f - 10 = -n*f. Factor 3*t**3 + 0*t**3 + 3*t**3 - f*t**3 - 4*t.
4*t*(t - 1)*(t + 1)
Let v be 9/(315/10)*(14 + 0). Let r(p) be the second derivative of 4*p + 0*p**2 + 3/20*p**5 + 1/4*p**v + 0*p**3 + 0. Factor r(g).
3*g**2*(g + 1)
Let f be (3*4/(-18))/(24/(-63)). Let w(q) be the first derivative of -16/9*q**3 - f*q**4 - 3/5*q**5 - 2/3*q**2 + 0*q + 3. Factor w(m).
-m*(m + 1)*(3*m + 2)**2/3
Find o such that -2523/2 + 87*o - 3/2*o**2 = 0.
29
Suppose -6*x + 47 = -7. Let h be (-20)/6*x/(-15). Solve 4 + 9*s**h - 10*s - 7/2*s**3 + 1/2*s**4 = 0 for s.
1, 2
Factor 1 - 1/4*z**3 - z**2 + 1/4*z.
-(z - 1)*(z + 1)*(z + 4)/4
Let c be (2 + 0)*(-6)/(-4). Suppose j + 2*o = -8, -15*o = -5*j - 19*o - 10. Suppose -5/6*p + 1/6 - 2/3*p**c + 4/3*p**j = 0. Calculate p.
1/2, 1
Let c(q) be the third derivative of q**7/945 + q**6/540 - q**5/90 - 5*q**4/108 - 2*q**3/27 - q**2 + 15. Let c(v) = 0. What is v?
-1, 2
Let d(i) = -2*i**2 - 22*i + 60. Let y(h) = 3*h**2 + 33*h - 120. Let c(r) = 7*d(r) + 3*y(r). Factor c(s).
-5*(s - 1)*(s + 12)
Let w(p) be the second derivative of -p**5/70 - 11*p**4/21 - 121*p**3/21 + 105*p. Factor w(f).
-2*f*(f + 11)**2/7
Factor -1058 + 46*q - 1/2*q**2.
-(q - 46)**2/2
Factor 8/11*k - 24/11*k**2 + 26/11*k**3 - 12/11*k**4 + 0 + 2/11*k**5.
2*k*(k - 2)**2*(k - 1)**2/11
Suppose 5*r - r - y - 27 = 0, -5*r + 35 = -y. Factor -r*z**3 - 2*z**4 + 4*z + 4*z**3 + 4*z**4 - 2.
2*(z - 1)**3*(z + 1)
Suppose 71 = -2*q + 77. Find h, given that -8*h**q - 2*h**4 + 8*h + 5*h**2 - 9*h**2 + 0 + 8 - 2*h**2 = 0.
-2, -1, 1
Let u = 1861 - 9304/5. Determine f so that 0 - u*f**2 + 2/5*f = 0.
0, 2
Suppose 0 = -25*f + 18*f - 490. Let m = -208/3 - f. Factor -m*l**3 - 10/3*l + 4/3 + 8/3*l**2.
-2*(l - 2)*(l - 1)**2/3
Suppose 36*s = 46*s - 50. Let z(y) be the second derivative of -3/7*y**2 - 5/14*y**3 - 1/7*y**4 - 3/140*y**s + 0 - 5*y. Factor z(j).
-3*(j + 1)**2*(j + 2)/7
Let d(u) be the second derivative of 8*u**7/105 + 14*u**6/75 - 2*u**5/25 - 8*u**4/15 - 4*u**3/15 + 2*u**2/5 - 46*u. Find r such that d(r) = 0.
-1, 1/4, 1
Let d be (35/((-5880)/36))/((-6)/14). What is x in -d*x + 0 - 1/2*x**2 = 0?
-1, 0
Let q(o) = 12*o**2 + 3 - 5*o**2 - 5*o - 9*o**2. Let k(y) = -4*y**2 - 11*y + 7. Let r(i) = -6*k(i) + 14*q(i). What is u in r(u) = 0?
-1, 0
Let f(n) be the second derivative of 7*n**5/60 - n**4/6 + 2*n**3/21 + n**2 - 3*n. Let i(x) be the first derivative of f(x). Factor i(u).
(7*u - 2)**2/7
Let q = -282 - -324. Suppose 8 = -40*y + q*y. Factor -20/3*m**3 - 2/3*m**5 - 10/3*m**y - 10/3*m - 20/3*m**2 - 2/3.
-2*(m + 1)**5/3
Let r(w) = -w**3 - 4*w - 3. Let f be r(-3). Find i, given that 33*i**4 - 28*i - 93*i**4 + 56*i**2 - 10*i**3 + 4 + f*i**5 + 2*i**3 = 0.
-1, 1/3, 1
Let n(a) be the second derivative of a**6/20 + 93*a**5/40 - 33*a**4/4 - 3*a + 75. Solve n(j) = 0.
-33, 0, 2
Solve -6*n**4 - 128 + n**3 - 27*n**2 - 75*n**3 - 480*n - 285*n**2 = 0.
-4, -1/3
Let d = 41/19 + 188/133. Let a(w) be the second derivative of 0 + d*w**2 - 10/21*w**3 + 1/42*w**4 - 13