/(-6) + (-44)/(-57). Find q such that -2/19*q**4 + 0*q - x*q**3 + g*q**2 + 0 + 2/19*q**5 = 0.
-1, 0, 1
Let z be ((-370)/(-74))/((-2)/((-8)/10)). Find l, given that -2*l**3 - z*l**2 + 0 - 2/3*l - 2/3*l**4 = 0.
-1, 0
Let u(w) = -w**3 - 5*w**2 - 5*w + 4 - 2*w**2 - 6*w. Let a be u(-4). Find i such that 2/9*i**5 - 2/9*i + a + 0*i**3 - 4/9*i**4 + 4/9*i**2 = 0.
-1, 0, 1
Let k(z) be the first derivative of 0*z**2 + 3/20*z**5 + 0*z**4 + 0*z**3 + 23 - 1/8*z**6 + 0*z. Let k(p) = 0. Calculate p.
0, 1
Suppose 0 = 14*g + 451 + 39. Let p be (-170)/g + 16/(-4). Factor 3/7*d + p - 3/7*d**2.
-3*(d - 2)*(d + 1)/7
Let p = 9 + 7. Suppose -1 = m + 2. Let x(q) = -5*q**3 + 7*q**2 + q - 3. Let u(g) = -26*g**3 + 36*g**2 + 6*g - 16. Let y(b) = m*u(b) + p*x(b). Factor y(d).
-2*d*(d - 1)**2
Suppose -3410*q + 3523*q - 470 = 886. Factor -73/3*x**3 + q*x - 3*x**5 + 2*x**2 + 16*x**4 + 8/3.
-(x - 2)**3*(3*x + 1)**2/3
Let c(d) be the first derivative of -d**6/15 - 2*d**5/5 - 9*d**4/10 - 14*d**3/15 - 2*d**2/5 + 37. Suppose c(g) = 0. What is g?
-2, -1, 0
Suppose -k + 26 = -4. Let c be (-45)/k*8/(-6). Factor -15 + 95 - 40*m + 2*m**2 + 3*m**c.
5*(m - 4)**2
Let m(r) be the third derivative of r**5/150 - r**3/15 - r**2 + 2. Factor m(a).
2*(a - 1)*(a + 1)/5
Let x(g) be the second derivative of -1/30*g**5 - 2/3*g**2 + 13*g + 10/9*g**3 + 0 + 7/90*g**6 - 7/12*g**4. Factor x(r).
(r - 1)**2*(r + 2)*(7*r - 2)/3
Let k(m) be the second derivative of 1/45*m**6 - 1/9*m**3 + 0*m**2 - 1/10*m**5 + 0 + 50*m + 1/6*m**4. Factor k(h).
2*h*(h - 1)**3/3
Let z(y) be the first derivative of 1/19*y**2 + 2/95*y**5 + 0*y + 3/38*y**4 - 6 + 2/19*y**3. Solve z(k) = 0.
-1, 0
Let d be ((-18)/15)/((-6)/(-15)). Let f be ((-3)/12)/(d/8). Factor 0 + 1/3*x**3 - f*x + 1/3*x**2.
x*(x - 1)*(x + 2)/3
Factor -1/2*o**3 - 41/6*o + 17/3*o**2 + 5/3.
-(o - 10)*(o - 1)*(3*o - 1)/6
Let v(n) be the first derivative of -n**6/1800 + n**5/60 - 5*n**4/24 + 15*n**3 + 44. Let a(b) be the third derivative of v(b). Find x such that a(x) = 0.
5
Let j = -14 - -20. What is m in 2*m**4 - j*m**2 + 0*m**4 - 2*m**3 - m**3 - m**3 = 0?
-1, 0, 3
Let r(i) be the third derivative of -i**9/161280 - i**8/53760 + i**7/6720 + 13*i**5/20 - 24*i**2. Let q(k) be the third derivative of r(k). Factor q(l).
-3*l*(l - 1)*(l + 2)/8
Factor 5*t**3 + t**3 - 36*t - 73 + 5*t**3 + 100 + 3*t**2 - 5*t**3.
3*(t - 1)*(t + 3)*(2*t - 3)
Let t(f) be the second derivative of f**4/15 + 5*f**3/6 + 3*f**2/5 - 6*f - 3. Suppose t(d) = 0. Calculate d.
-6, -1/4
Determine a, given that 2*a + 2*a**2 + 13 - 30 + 15 - 2*a**3 = 0.
-1, 1
Suppose -2*n - 5*a = -9, -3*n - 3*a = -4 - 5. Let -11*d**3 + 9*d**4 - 50*d**n + 3 - d**5 + 38*d**2 + 5*d**3 + 7*d**5 = 0. What is d?
-1, 1/2, 1
Let s(q) be the third derivative of q**7/1260 + q**6/120 + q**5/30 - q**4/12 + 19*q**2. Let r(d) be the second derivative of s(d). What is f in r(f) = 0?
-2, -1
Factor 4/7*h**2 + 1296/7 + 144/7*h.
4*(h + 18)**2/7
Let g(r) be the second derivative of -r - 2*r**2 + 0 + 1/6*r**4 + 1/3*r**3. Solve g(f) = 0 for f.
-2, 1
Let r(v) = 63*v**4 + 68*v**3 + 3*v**2 + 2. Let p(h) = 125*h**4 + 135*h**3 + 5*h**2 + 5. Let t(a) = -2*p(a) + 5*r(a). Find z such that t(z) = 0.
-1, -1/13, 0
Let 1/2*c**2 + 2*c - 5/2 = 0. What is c?
-5, 1
Suppose -3*v - 6*q + 5 = -q, -v + 3 = 3*q. Let m(u) be the second derivative of v + 4/3*u**3 + 5/3*u**4 + 0*u**2 + 10*u. Suppose m(l) = 0. What is l?
-2/5, 0
Let n = 25/69 + 157/138. Solve -1/2*h**5 + h**2 - 3/2*h**4 + n*h + 1/2 - h**3 = 0 for h.
-1, 1
Let w be (-6 - -2)*7/(-2). Let l(o) = -o + 2. Let p be l(1). Suppose -9*r**4 + 6*r**2 + 3 + 3*r**4 - 4*r**4 + 14*r - w*r**3 + p = 0. What is r?
-1, -2/5, 1
Let b(a) be the second derivative of -a**4/32 - a**3/4 + 15*a**2/16 - 16*a. Find r such that b(r) = 0.
-5, 1
Let g(i) = 6*i**2 + 27*i - 21. Let w(n) = 7*n**2 + 29*n - 20. Let v(y) = -4*g(y) + 3*w(y). Solve v(j) = 0.
-8, 1
Let u be (-1 - (-26)/8) + 77/(-308). Factor -12/17*o**3 + 2/17*o**4 - 24/17*o + 26/17*o**u + 8/17.
2*(o - 2)**2*(o - 1)**2/17
Let j(q) = -15*q**2 + 87*q - 72. Let c(w) = -3*w**2 + 17*w - 14. Let g(h) = -21*c(h) + 4*j(h). Find d such that g(d) = 0.
1, 2
Let t = 3 + -5. Let x be (5 + t + -1)*1/14. Factor x*s**4 + 1/7*s**2 + 0*s + 0 + 2/7*s**3.
s**2*(s + 1)**2/7
Let q(r) = -75*r**5 - 65*r**4 - r**3 - 11. Let n(l) = -26*l**5 - 22*l**4 - 4. Let s(h) = -11*n(h) + 4*q(h). Factor s(z).
-2*z**3*(z + 1)*(7*z + 2)
Suppose -5*a + 6 = -4. Let i(y) = 2*y**3 + 3. Let j be i(0). Factor 3*f**2 - 3*f**4 + 6*f**j - 4*f + 0*f**2 - 2*f + 0*f**a.
-3*f*(f - 2)*(f - 1)*(f + 1)
Let q(x) = -4*x**2 - 16*x - 21. Suppose -9*z = -13*z + 72. Let k(s) = -s**2 - 4*s - 5. Let p(i) = z*k(i) - 4*q(i). Solve p(r) = 0 for r.
-3, -1
Let d(t) = t**3 - t. Let a(o) = o**3 + 24*o**2 + 43*o - 196. Let u(k) = a(k) + d(k). Factor u(q).
2*(q - 2)*(q + 7)**2
Let d = -277 - -281. Let g = 5 - 2. Factor 11*p**4 + 10*p**d + 3*p**4 - 7*p**5 + 26*p**2 - g*p + 2*p**5 - 2 - 40*p**3.
-(p - 2)*(p - 1)**3*(5*p + 1)
Factor -524*h**2 + h - 6 - 8*h + 2*h + 523*h**2.
-(h + 2)*(h + 3)
Let k(b) be the third derivative of 5/2016*b**8 - 1/252*b**7 + 24*b**2 + 0*b**5 - 1/72*b**6 + 0*b**3 + 0 + 0*b**4 + 0*b. Factor k(g).
5*g**3*(g - 2)*(g + 1)/6
Let v = 328/5 + -1309/20. Let w(c) be the second derivative of 11/24*c**4 - 3/20*c**6 - c**2 + 1/3*c**3 - v*c**5 - 7*c + 0. Solve w(s) = 0.
-1, 2/3
Suppose -4*a - 2*v + 66 = 0, -4*a - 5*v + 60 = -21. Suppose a*o - 51 = -3*o. Solve -1/2*i**4 + 0 + 0*i - 1/2*i**o + 0*i**2 = 0 for i.
-1, 0
Let g(m) = 9*m**3 - 10*m**2 - 16*m + 44. Let d(b) = -26*b**3 + 30*b**2 + 49*b - 131. Let q(s) = -4*d(s) - 11*g(s). Let q(i) = 0. Calculate i.
-2, 2
Let s be (-1)/2*(2 + 6 - 12). Factor 0 + 2/5*o**3 - 2/5*o**s + 0*o.
2*o**2*(o - 1)/5
Let r(t) be the third derivative of t**8/448 + t**7/504 + 7*t**4/12 + 2*t**2. Let x(q) be the second derivative of r(q). Factor x(g).
5*g**2*(3*g + 1)
Determine w so that 44/5*w**3 + 72/5 + 184/5*w + 154/5*w**2 + 2/5*w**4 = 0.
-18, -2, -1
Let n(g) = g**3 - 4*g**2 + 4. Let s be n(4). What is c in 7*c**4 + s*c**5 + 120*c - 8*c**2 - 124*c + c**4 + 0*c**5 = 0?
-1, 0, 1
Factor 25 + 1687*z**2 + 1681*z**2 + 4*z - 3363*z**2 - 34*z.
5*(z - 5)*(z - 1)
Let w(k) be the second derivative of 0 + k + 1/3*k**4 - 4/3*k**3 + 2*k**2. Determine q, given that w(q) = 0.
1
Factor 5*i**5 - 26*i - 115*i**2 - 25*i**4 - 46*i**3 + i - 59*i**3 - 15*i.
5*i*(i - 8)*(i + 1)**3
Let z(a) = 22*a + 13. Let p be z(-4). Let q be (1*-1)/(p/90). Factor -8/5 + q*s**2 + 2/5*s**3 + 0*s.
2*(s - 1)*(s + 2)**2/5
Factor 0 - 3/8*s**2 - 9/4*s + 1/8*s**3.
s*(s - 6)*(s + 3)/8
Let k(s) be the second derivative of s**9/6048 - s**8/896 + s**7/504 + s**4/6 - 9*s**3/2 + 54*s. Let q(g) be the third derivative of k(g). Factor q(h).
5*h**2*(h - 2)*(h - 1)/2
Let h be (60/9)/((-4)/(-18)). Suppose -h*j**2 + 18*j**2 + j**3 - 5*j**3 = 0. Calculate j.
-3, 0
Let r(u) be the third derivative of u**7/420 + u**6/80 - u**5/120 - u**4/16 - 159*u**2. Determine m so that r(m) = 0.
-3, -1, 0, 1
Suppose 0 = 15*f - 9 - 51. Solve 0 - 4/3*y**3 + 4/3*y**f + 4/3*y - 4/3*y**2 = 0 for y.
-1, 0, 1
Let i be 2/2 + -1 + 2. Let g = 21569/27055 + 15/5411. Factor -g*q + 0 - 2/5*q**i.
-2*q*(q + 2)/5
Let s(w) = -224*w**2 - 22 + 247*w**2 + 5*w + 20*w - w**3. Let y be s(24). Factor 15/2*t - 5 - 5/2*t**3 + 0*t**y.
-5*(t - 1)**2*(t + 2)/2
Suppose -3*i + 3*t = 48, 48 = -0*i - 3*i + 4*t. Let s be (i/(-40))/(-1) + 32/30. Factor 0 - s*q**5 + 0*q**2 + 0*q - 2/3*q**4 + 0*q**3.
-2*q**4*(q + 1)/3
Let u(i) be the first derivative of -i**6/2 - 48*i**5/5 - 87*i**4/4 - 14*i**3 - 55. Factor u(p).
-3*p**2*(p + 1)**2*(p + 14)
Suppose -8*b + 2*b + 168 = 0. Let -40 - x**2 + 26 - b*x - 3*x**2 - 34 = 0. Calculate x.
-4, -3
Let i(d) be the second derivative of -2*d**3 - 15*d + 3/5*d**5 + 0*d**2 - 1/3*d**4 + 2/15*d**6 + 0. Factor i(s).
4*s*(s - 1)*(s + 1)*(s + 3)
Let o be 91/(-117) + -1 - (-1 + -1)*1. Let -o*u - 2/9*u**5 + 2/9 + 2/9*u**4 - 4/9*u**2 + 4/9*u**3 = 0. What is u?
-1, 1
Let d(w) = w - 7. Let s be d(11). Suppose 5*y = -r + 44, s*y - 2*r = r + 20. Find t, given that t**3 + 15*t**4 - 11*t**4 - 9*t**3 + y*t**5 - 4*t**2 = 0.
-1, -1/2, 0, 1
Let i(n) = 6*n**4 - 10*n**3 - 5*n**2 - 5*n - 7. Let w(x) = 3*x**4 - 5*x**3 - 3*x**2 - 3*x - 4. Let y(o) = 4*i(o) - 7*w(o). Factor y(l).
l*(l - 1)**2*(3*l + 1)
Let y(i