 20*d**2 + 4*d - 9. Let g(n) = p*r(n) - 4*v(n). Factor g(f).
-4*(f - 2)*(f - 1)**3
Let h(u) = u**3 - 8*u**2 + 7*u + 2. Suppose r - 4 - 3 = 0. Let p be h(r). Factor -4*s + s**4 + 4*s + 3*s**5 - 2*s**p - 3*s**3 + s**4.
s**2*(s - 1)*(s + 1)*(3*s + 2)
Let r(q) be the second derivative of -1/108*q**4 + 0 + 1/180*q**5 - 1/27*q**3 + 0*q**2 - 5*q. Determine l so that r(l) = 0.
-1, 0, 2
Let v(u) be the third derivative of -u**8/25200 + u**7/8400 + u**6/3600 + 13*u**5/60 + 2*u**2. Let s(n) be the third derivative of v(n). Factor s(h).
-(h - 1)*(4*h + 1)/5
Let q = 24 - 22. Suppose -q*g - 2*k = -18, 0 = 3*g + 7*k - 2*k - 37. Solve -10*a**4 - g*a + 0 + 0 + 8*a**2 + 2*a**4 + 4*a**3 = 0 for a.
-1, 0, 1/2, 1
Factor -55/3*f**2 - 9*f**3 - 1/3 - 29/3*f.
-(f + 1)**2*(27*f + 1)/3
Let b(f) be the second derivative of -3*f**5/100 - 3*f**4/10 - f**3/2 + f - 3. Determine k, given that b(k) = 0.
-5, -1, 0
Let y(n) be the third derivative of n**7/42 + n**6/12 + n**5/12 - 14*n**2 + 1. Let y(w) = 0. What is w?
-1, 0
Let a be 9 + (-1323)/(-18)*(-4)/34. Factor a*m**2 + 18/17*m - 2/17*m**3 + 10/17.
-2*(m - 5)*(m + 1)**2/17
Let a be 7/((1 - 15/6) + 1). Let h be (-114)/(-28) - 6/a. Factor -9/2 - 3/2*n**2 + h*n + 1/6*n**3.
(n - 3)**3/6
Suppose 2/3*i**2 + 6 + 20/3*i = 0. Calculate i.
-9, -1
Let d(x) be the first derivative of -3/10*x**4 - 22 + 0*x + 16/15*x**3 - 16/15*x**2 + 2/75*x**5. Find j, given that d(j) = 0.
0, 1, 4
Let i = -1/9 - -49/36. Let o = i - -1/4. Factor -3/2*l**4 + o*l + 3/2*l**2 - 3/2*l**3 + 0.
-3*l*(l - 1)*(l + 1)**2/2
Find f such that -2*f**5 - 30*f**4 + 7*f**5 - 48*f**3 - 32*f**3 = 0.
-2, 0, 8
Let a(b) be the third derivative of b**8/1176 - b**7/735 - b**6/30 - 13*b**5/105 - 19*b**4/84 - 5*b**3/21 - 93*b**2. Factor a(w).
2*(w - 5)*(w + 1)**4/7
Find u, given that 156*u**2 + 4*u**5 + 19 + 612*u**2 + 22 + 16*u**3 - 41 - 48*u**4 + 1024*u = 0.
-2, 0, 8
Let b(x) be the first derivative of 9*x**4/2 + 50*x**3/3 - 6*x**2 - 246. Factor b(t).
2*t*(t + 3)*(9*t - 2)
Let w = -501 + 506. Let t(c) be the second derivative of 1/3*c**2 - 1/18*c**3 + 2*c - 7/45*c**6 + 0 + 31/60*c**w - 1/2*c**4. Suppose t(b) = 0. Calculate b.
-2/7, 1/2, 1
Let o = -325 + 318. Let c be ((-6)/o)/(264/42 + -6). Factor 2/5*f**c + 4/5 + 0*f**2 - 6/5*f.
2*(f - 1)**2*(f + 2)/5
Let q(y) be the second derivative of -y**5/10 - y**4/6 + 4*y**3 + y + 111. Determine m, given that q(m) = 0.
-4, 0, 3
Suppose 4*d - 5 = 3*d. Suppose -d*m + 24 = -3*m. Let -19*o**2 + 16*o**2 - m*o - 4 - 3 - 5 = 0. Calculate o.
-2
What is k in -256*k**2 + 136 - 261*k**2 + 64*k + 515*k**2 = 0?
-2, 34
Let y(v) be the third derivative of -2*v**7/665 + 23*v**6/1140 - 2*v**5/57 - v**4/57 + 3*v**2 + 16*v. Solve y(a) = 0 for a.
-1/6, 0, 2
Let u(a) be the second derivative of -a**7/280 - a**6/160 + a**5/40 - a**2/2 - 34*a. Let w(b) be the first derivative of u(b). Factor w(r).
-3*r**2*(r - 1)*(r + 2)/4
Determine k so that -4*k - 38/9*k**2 - 2/9*k**3 + 0 = 0.
-18, -1, 0
Let t be 1686/(-3934) - (-1 + 4/7). Determine l, given that 3/5*l**4 + 12/5*l**2 - 12/5*l**3 + 0 + t*l = 0.
0, 2
Let r(o) be the first derivative of 0*o + 5 - 8*o**2 - 16*o**3 - 13*o**4 - 24/5*o**5 - 2/3*o**6. Determine d so that r(d) = 0.
-2, -1, 0
Let y be (-4)/(((-180)/8)/9 - -2). Let n be y/(-10) - (-76)/20. Factor 0 - 2/9*o**2 + 2/9*o**4 + 0*o**n + 0*o.
2*o**2*(o - 1)*(o + 1)/9
Let i(f) = f**3 - 11*f**2 + 26*f + 24. Let v be i(5). Factor 2/19*r**v + 0 + 0*r + 4/19*r**3 + 2/19*r**2.
2*r**2*(r + 1)**2/19
Let p be (4 + 0 - -1)/1. Let -10 + 9*d**4 + 6*d**4 - 12*d**3 + 3*d**2 - 6*d**p + 10 = 0. Calculate d.
0, 1/2, 1
Suppose -5*s + 2*n = -n - 38, 0 = 3*n + 3. Let k = s - -2. Factor -3*p + 5*p + 3 - k*p**2 + 3*p + p.
-3*(p - 1)*(3*p + 1)
Let i(u) be the second derivative of 0 + 3/20*u**5 - 3*u**4 - 96*u**2 + 24*u**3 - 12*u. Factor i(p).
3*(p - 4)**3
Let v(c) = 10*c**2 - 9*c - 1. Let k(r) = -1125 + 3*r**2 + 1125 - 3*r. Let n(l) = -14*k(l) + 4*v(l). Let n(q) = 0. What is q?
1, 2
Let -2/15*y**5 + 12/5 - 22/15*y + 16/15*y**4 - 52/15*y**2 + 8/5*y**3 = 0. Calculate y.
-2, -1, 1, 9
What is v in -v**2 + v**2 + 6*v - v**3 + v**3 - 3*v**3 + 3*v**2 = 0?
-1, 0, 2
Let m = -589/330 + 20/11. Let h(w) be the second derivative of 0 - 2/15*w**3 - m*w**4 + 3/5*w**2 + 4*w. Factor h(b).
-2*(b - 1)*(b + 3)/5
Let l(f) be the first derivative of 2*f**5/5 - 3*f**4 + 8*f**3 - 8*f**2 + 3. Let l(d) = 0. Calculate d.
0, 2
Let o(i) be the third derivative of -i**8/6720 - i**7/120 - 49*i**6/240 - i**5/12 + 8*i**2. Let m(h) be the third derivative of o(h). Factor m(x).
-3*(x + 7)**2
Suppose -7/2 + 3*b + 1/2*b**2 = 0. What is b?
-7, 1
Let h(x) be the second derivative of x**6/90 + x**5/60 - x**4/12 - x**3/18 + x**2/3 + x - 25. Factor h(q).
(q - 1)**2*(q + 1)*(q + 2)/3
Let z(r) be the third derivative of r**4/24 + 2*r**3 - 2*r**2. Let c be z(-10). Find b such that 7*b**c - 2*b - 2*b**5 + 4*b - 3*b**2 - 4*b**4 = 0.
-1, 0, 1
Factor -10/3*w - 2/3*w**2 + 10/3*w**3 + 0 + 2/3*w**4.
2*w*(w - 1)*(w + 1)*(w + 5)/3
Let m(f) be the first derivative of -f**6/180 + f**5/60 + 40*f**3/3 + 35. Let l(q) be the third derivative of m(q). Factor l(j).
-2*j*(j - 1)
Suppose -2/11*j**2 + 24/11*j + 26/11 = 0. Calculate j.
-1, 13
Let d(g) = 2*g - 1. Let k be d(0). Let v be -1*(5 - 3)*k/1. Suppose 0 + 0*r**4 + 2/11*r + 2/11*r**5 - 4/11*r**3 + 0*r**v = 0. What is r?
-1, 0, 1
Let y(r) be the third derivative of -r**7/42 - 35*r**6/12 - 359*r**5/4 + 6475*r**4/6 - 13690*r**3/3 - 696*r**2. Find f such that y(f) = 0.
-37, 2
Suppose -2*s - 4*o = s - 11, -2*o = 2*s - 8. Factor -h**3 - 6 + 3 - s*h + 1 - 4*h**2.
-(h + 1)**2*(h + 2)
Suppose -5*m - 8 = -m. Let q be -7*((m - 0) + 1). Factor 5*c + 5*c - q*c + 3*c**2 + 6*c.
3*c*(c + 3)
Let i(z) be the first derivative of 7*z - 7/18*z**4 + 1/3*z**2 - 2 + 2/15*z**5 + 2/9*z**3. Let v(o) be the first derivative of i(o). Factor v(l).
2*(l - 1)**2*(4*l + 1)/3
Let z be 1*3/18 + 7/(-42). Let m(c) be the third derivative of 1/3*c**4 - 3*c**2 + z + 2/3*c**3 + 0*c + 1/120*c**6 + 1/12*c**5. Suppose m(a) = 0. Calculate a.
-2, -1
Factor 1/8*t**3 + 0 + t**2 + 3/2*t.
t*(t + 2)*(t + 6)/8
Let r(o) = -2*o**2 - 28*o + 1056. Let p be r(17). Factor 0 + 3/2*s**3 + 3*s**p - 3/2*s**4 + 0*s.
-3*s**2*(s - 2)*(s + 1)/2
Let w(j) be the third derivative of -j**5/20 + j**4/4 - j**3/2 - 105*j**2. Let w(c) = 0. Calculate c.
1
Let o(w) be the first derivative of 1/2*w**3 - 9/16*w**2 - 3 + 1/4*w - 5/32*w**4. Find j, given that o(j) = 0.
2/5, 1
Let o be (-2)/11 + 7164/(-165). Let i = o + 44. Factor -2/5*k - i*k**5 + 2/5*k**4 - 4/5*k**2 + 4/5*k**3 + 2/5.
-2*(k - 1)**3*(k + 1)**2/5
Let g(k) = -k**3 - 6*k**2 + 9*k + 9. Let q be g(-7). Let i be 5 - ((4 - 10/q) + -1). What is v in -2/5*v**3 + 0*v**2 + 3/5*v**4 + 0 + v**5 + i*v = 0?
-1, 0, 2/5
Let x(a) = -2*a**2 + 11*a - 5. Let i be x(4). Factor 0 - 6*q**2 - q**3 - i + 1 - 2 - 12*q.
-(q + 2)**3
Determine g, given that -40/3*g - 1/6*g**4 + 0 + 1/2*g**3 + 4*g**2 = 0.
-5, 0, 4
Let n(r) be the third derivative of r**7/105 + r**6/45 - 7*r**5/90 - r**4/9 + 4*r**3/9 - r**2 + 160*r. Solve n(y) = 0.
-2, -1, 2/3, 1
Let v(z) be the second derivative of -15123*z**7/7 - 284*z**6/15 - 2*z**5/45 + 922*z. Factor v(p).
-2*p**3*(639*p + 2)**2/9
Let z(v) be the second derivative of -v**8/1008 + v**6/360 + v**2/2 + 11*v. Let m(y) be the first derivative of z(y). Find x, given that m(x) = 0.
-1, 0, 1
Let a(q) = -3*q - 45. Let b be a(-18). Factor 3 - 6*v**2 + b*v**2 - 12*v + 8 + 1.
3*(v - 2)**2
Let k(z) = 13*z**2 + 34*z - 139. Let r(x) = 5*x**2 + 11*x - 46. Let j(s) = -3*k(s) + 8*r(s). Factor j(c).
(c - 7)**2
Let w(q) be the second derivative of 0*q**3 + 0 - 1/45*q**6 + 1/18*q**4 - 1/30*q**5 + 0*q**2 + 1/63*q**7 + 6*q. Solve w(v) = 0.
-1, 0, 1
Let a(x) = -x**3 + 32*x**2 + 33*x + 3. Let t = -85 + 118. Let f be a(t). Find q such that 3/7*q**5 + 6/7*q - 3/7*q**2 + 3/7*q**4 + 0 - 9/7*q**f = 0.
-2, -1, 0, 1
Let l(t) be the first derivative of 5*t**3/3 + 655*t**2 - 1315*t + 818. Factor l(a).
5*(a - 1)*(a + 263)
Let n be 2037/15 - (-4)/(-5). Let s = 320 - n. Solve -196*i + 20 - 39*i + 2205*i**2 - s*i = 0 for i.
2/21
Let o = -25/12 + 7/3. Let c = -29055 - -116221/4. What is r in -1/2*r - o*r**2 - c = 0?
-1
Let w(i) be the second derivative of -i**7/840 + i**6/90 - i**5/30 + 17*i**3/6 + 10*i. Let d(h) be the second de