t**2 + 2/9*t + 2/9*t**4 + 0 = 0.
-1, 0, 1
Let k(d) be the third derivative of 0 - 1/6*d**4 + 5/6*d**3 + 0*d - 1/60*d**5 + 6*d**2. Factor k(m).
-(m - 1)*(m + 5)
Let q(o) be the third derivative of -3*o**8/728 + 2*o**7/455 + o**6/39 + 4*o**5/195 - 18*o**2 - 2*o. Find w, given that q(w) = 0.
-2/3, 0, 2
Let b(r) be the third derivative of -r**7/630 + r**6/30 + 7*r**5/30 + r**4/24 + 15*r**2. Let i(n) be the second derivative of b(n). Factor i(f).
-4*(f - 7)*(f + 1)
Let q(v) be the third derivative of -1/40*v**6 + 0 + 0*v**3 - 4*v**2 - 1/20*v**5 + 0*v + 1/4*v**4. Factor q(h).
-3*h*(h - 1)*(h + 2)
Let p(c) = -2*c**2 + 18*c + 4. Suppose 5*x + 5*m = 2*m + 54, -4*m + 12 = 0. Let k be p(x). Solve 0 + 4/9*s**2 - 10/9*s**3 + 0*s - 2/3*s**k = 0.
-2, 0, 1/3
Suppose 0 = 4*n - 3*d + 15, -3*n + n - 3*d = -15. Let o(f) be the second derivative of n - 3/4*f**4 - 3/2*f**2 - 4*f - 27/20*f**5 + 5/2*f**3. Factor o(m).
-3*(m + 1)*(3*m - 1)**2
Let l(h) be the third derivative of -2/27*h**3 + 1/945*h**7 + 23*h**2 - 1/90*h**5 - 1/540*h**6 + 5/108*h**4 + 0 + 0*h. What is d in l(d) = 0?
-2, 1
Let l(i) = i - 39. Let b be l(13). Let u = b + 28. Factor 0*r + 0 - 1/4*r**3 + 1/4*r**u.
-r**2*(r - 1)/4
Find n such that 3/11*n**4 + 0*n + 0*n**2 + 0 + 1/11*n**3 = 0.
-1/3, 0
Let f be ((-2)/(-10) - (-1)/(-5))*1. Let i be 5 + 1 - 2520/450. Determine h so that -i*h**2 + f + 0*h = 0.
0
Factor 0 + 16/11*y**3 + 14/11*y**2 - 2/11*y.
2*y*(y + 1)*(8*y - 1)/11
Let c be 5/((-140)/(-3736)) - 3. Let k = c - 130. Factor 0*x**3 + 0*x + 3/7*x**4 - 6/7*x**2 + k.
3*(x - 1)**2*(x + 1)**2/7
Let l be 362/40 + (-378)/42. Let w(z) be the second derivative of -2/15*z**6 - z**2 - l*z**5 + z**4 - 10*z + 0 - 5/6*z**3. Factor w(a).
-(a - 1)**2*(a + 2)*(4*a + 1)
Let g(h) be the second derivative of -h**6/180 - h**5/120 + 5*h**4/24 - 23*h**3/36 + 5*h**2/6 + 2*h + 40. Factor g(b).
-(b - 2)*(b - 1)**2*(b + 5)/6
Let s(x) = -x**3 + 19*x**2 - 18*x + 3. Let d be s(18). Suppose g = d*g - 4. What is z in -1/2*z**g + 0*z + 0 - 3/2*z**4 - 2*z**3 = 0?
-1, -1/3, 0
Let r be 1*-5*(-6)/10. Find b such that 3*b**5 - 88*b**3 + 5*b + 78*b**r + 2*b**5 = 0.
-1, 0, 1
Let -18*w**3 + 1320*w**4 - 664*w**4 - 659*w**4 = 0. Calculate w.
-6, 0
Suppose -15 = -5*f + r - 3*r, 0 = f - r - 10. Determine h so that 2*h**3 - 2*h**2 + 12*h**4 - 10*h**2 + 2*h**3 + 8*h**5 - 4*h**f - 8*h = 0.
-2, -1, 0, 1
Let g(m) be the third derivative of -m**2 + 0 - 1/60*m**5 + 0*m + 0*m**3 + 1/240*m**6 + 0*m**4. Factor g(n).
n**2*(n - 2)/2
Let x = 10639/2 - 5319. Factor -9/2 + 3*n - x*n**2.
-(n - 3)**2/2
Suppose -3*q + 2*n - 14 = 6*n, 0 = 5*q - 2*n - 20. Let w(r) = r**2 + 2*r - 2. Let u be w(q). Factor u*c**4 + 7/2*c**5 + 0 - c**2 + 3/2*c**3 + 0*c.
c**2*(c + 1)**2*(7*c - 2)/2
Determine z, given that 1/4*z - 5/2*z**2 + 0 - 3*z**3 + 5/2*z**4 + 11/4*z**5 = 0.
-1, 0, 1/11, 1
Factor 2/17*b**2 + 8*b + 136.
2*(b + 34)**2/17
Let k(z) = -z**3 + z - 1. Let y(b) = b**4 - 4*b**3 - 3*b**2 + 2*b - 4. Let n(g) = g**2 + 3*g + 3. Let q be n(-1). Let j(s) = q*y(s) - 4*k(s). Factor j(a).
a*(a - 2)*(a + 1)**2
Let a(j) be the third derivative of j**7/42 + j**6/3 - j**5/4 - 325*j**4/12 - 500*j**3/3 + 185*j**2. Factor a(n).
5*(n - 4)*(n + 2)*(n + 5)**2
Let w(s) be the second derivative of -s**6/120 - s**5/5 + 9*s**4/8 + 4*s**3 + 9*s. Let b(u) be the second derivative of w(u). Factor b(p).
-3*(p - 1)*(p + 9)
Suppose k**2 + 21 - 10*k**2 + 51 + 6*k**2 - 15*k = 0. Calculate k.
-8, 3
Suppose l = 13 + 1. Suppose 2*f = 5*h - 6, 3*f + h = -3*h + l. Find w, given that -1/4*w**3 + w**f + 1/2 - 5/4*w = 0.
1, 2
Let g(v) = -v**2 + v + 1. Let a(w) = 4*w**3 - 12*w**2 - 88*w + 24. Let l(f) = -a(f) + 24*g(f). Determine d, given that l(d) = 0.
-7, 0, 4
Let f(z) be the first derivative of -2*z**5/5 + 3*z**4/2 + 32*z**3/3 + 12*z**2 - 22. Factor f(m).
-2*m*(m - 6)*(m + 1)*(m + 2)
Factor 72 + 54*p - 4*p**4 - 28*p**3 - 42*p - 59*p**2 + 7*p**2.
-4*(p - 1)*(p + 2)*(p + 3)**2
Suppose 5*r - 15 = 2*h, r - h - 4 = -1. What is g in 153*g**2 - 18*g + 8 - 2*g**r - 70*g**2 - 71*g**2 = 0?
1, 4
Let o(t) = -t**2 + 15*t - 52. Let c be o(6). Solve -22/5*k**c + 8/5 + 18/5*k**3 - 32/5*k = 0.
-1, 2/9, 2
Let j = -95/41 + 326/123. Solve 1/9*h + 2/3*h**2 + 4/3*h**3 + 0 + j*h**5 + 10/9*h**4 = 0 for h.
-1, -1/3, 0
Factor 2/3*k**3 + 0 - 8/3*k + 0*k**2.
2*k*(k - 2)*(k + 2)/3
Suppose 2*p**4 + 26*p**2 - 4*p**3 - 4*p - 47*p**2 - 7 - p**4 + 35 = 0. What is p?
-2, 1, 7
Factor 7*t**2 + 16*t**2 + 8*t**2 + 108 - 28*t**2 - 7*t**2 + 104*t.
-4*(t - 27)*(t + 1)
Solve 134*p - 664/5*p**2 - 168/5 - 8/5*p**3 = 0 for p.
-84, 1/2
Suppose 4*l - 12 = 0, -z + 16 + 29 = -5*l. Factor 15*f**3 - 2*f**2 - z*f - 24 + 3*f**2 + 5*f**2.
3*(f - 2)*(f + 2)*(5*f + 2)
Let p(u) be the first derivative of -2*u**3/45 + 2*u**2/15 + 2*u/5 - 3. Factor p(a).
-2*(a - 3)*(a + 1)/15
Suppose -20 = -6*o + o. What is a in 2*a**2 - 3*a**4 + 15*a - 16*a + a**5 + a**o = 0?
-1, 0, 1
Let p(x) be the second derivative of -x**6/135 + x**5/90 + x**4/54 - x**3/27 - 2*x + 15. Let p(o) = 0. Calculate o.
-1, 0, 1
Let o(i) be the first derivative of -i**4/34 + 10*i**3/51 - 45. Factor o(b).
-2*b**2*(b - 5)/17
Factor 4/7*l**2 + 30/7*l + 0 - 2/7*l**3.
-2*l*(l - 5)*(l + 3)/7
Let u be 20/8*(-4 + (-96)/(-20)). Suppose -u*f - 7 = -13. Find k, given that -11/4*k**2 + f*k**3 + 1/2*k + 9/4*k**4 + 0 = 0.
-2, 0, 1/3
Let k(p) = 3*p**3 - 3*p + 2. Let w be k(1). Factor 2*g**2 - 12*g**3 + 4*g**2 + 12*g**4 - w*g**2 - 44*g**5 + 40*g**5.
-4*g**2*(g - 1)**3
Let d(f) = -f**3 + 5*f**2 + 6*f - 4. Let p be d(6). Let v be 5 - p/(-2 - 0). Factor -u - 2 + 5*u**2 - v*u**2 - u**2.
(u - 2)*(u + 1)
Let g be ((-3)/(-2))/((-3)/(-8)). Let x = -2360 + 2363. Find h, given that -18/5*h + 3*h**g + 18/5*h**x - 3/5 - 12/5*h**2 = 0.
-1, -1/5, 1
Let b = -29993 - -149969/5. Suppose 0 + 2/5*h**3 - b*h**2 + 0*h = 0. Calculate h.
0, 2
Let x(p) be the first derivative of 3*p**4/16 + p**3/2 - 3*p**2 - 142. Factor x(n).
3*n*(n - 2)*(n + 4)/4
Let z(l) be the third derivative of -l**6/160 + l**5/40 + 41*l**4/32 - 21*l**3/4 + 8*l**2 - 8. Factor z(r).
-3*(r - 7)*(r - 1)*(r + 6)/4
Let b(v) be the second derivative of -7*v - 4 + 0*v**2 - 10/3*v**3 - 15/4*v**4 - 1/6*v**6 - 3/2*v**5. Suppose b(q) = 0. What is q?
-4, -1, 0
Let r(a) = -155*a**4 + 880*a**3 + 835*a**2 - 10650*a - 15840. Let b(s) = 7*s**4 - 40*s**3 - 38*s**2 + 484*s + 720. Let d(x) = -45*b(x) - 2*r(x). Factor d(g).
-5*(g - 6)**2*(g + 2)**2
Let n be ((-2)/(-5))/((-2)/(-10)). Let z(d) = d**2 + 8*d - 18. Let q be z(-10). What is h in -3*h**q - 11*h + n*h - 9 - 3*h = 0?
-3, -1
Let z(f) be the first derivative of 1/9*f**2 - 1/54*f**4 - 5*f + 0*f**3 - 1. Let q(i) be the first derivative of z(i). Factor q(h).
-2*(h - 1)*(h + 1)/9
Suppose 50*l = 72*l. Let x(b) be the second derivative of 0*b**2 + l + 1/40*b**5 + 4*b - 1/12*b**4 + 1/12*b**3. Solve x(o) = 0.
0, 1
Solve 3/5*n**4 + 375 - 144/5*n**3 + 720*n + 1578/5*n**2 = 0.
-1, 25
Let n(f) be the second derivative of -f**7/168 + f**6/15 + f**5/80 - f**4/6 + 57*f. Solve n(l) = 0 for l.
-1, 0, 1, 8
Let l = -24 + 29. Let b(c) = -4*c**3 + 5*c**2 + 9*c + 5. Let q(k) = -4*k**3 + 4*k**2 + 8*k + 4. Let a(p) = l*q(p) - 4*b(p). Factor a(r).
-4*r*(r - 1)*(r + 1)
Suppose 5*i - 3 = o, 6*o - 5 = o + 5*i. Let u(m) be the third derivative of 6*m**o + 0*m**4 + 0*m + 0 + 0*m**3 - 1/80*m**5. Suppose u(g) = 0. Calculate g.
0
Suppose 258*m = 255*m + 12. Let u(w) be the first derivative of -m + 2*w**3 + 0*w - 27/4*w**4 + 0*w**2. Determine x, given that u(x) = 0.
0, 2/9
Factor -1/3*x**3 + 11*x - 15 + 13/3*x**2.
-(x - 15)*(x - 1)*(x + 3)/3
Let q(p) be the third derivative of 0 + 0*p**3 - 56*p**2 + 1/20*p**5 + 1/224*p**8 + 0*p + 0*p**4 + 1/35*p**7 + 1/16*p**6. Factor q(b).
3*b**2*(b + 1)**2*(b + 2)/2
Let q be ((-39 - 0)/3)/(-1). Let d be 230/195 - (37/q - 3). Solve 0 + 2/3*y**3 + 0*y**2 + 0*y - d*y**4 = 0 for y.
0, 1/2
Let z(c) be the third derivative of 0*c + 1/40*c**5 - 30*c**2 + 0 - 1/80*c**6 + 1/8*c**4 + 0*c**3. Factor z(f).
-3*f*(f - 2)*(f + 1)/2
Let v be 4/4 + -2 + 9. Let j be 34/8 + (-2)/v. Find a, given that j*a**2 - 4*a**2 - 4*a**3 - 4*a + 4*a**2 + 3*a**3 = 0.
0, 2
Let a(p) = -4*p**3 + 12*p**2 + 12*p + 4. Let j(x) = -x**2 - 1. Suppose 148 = 5*v - 32. Suppose 0 = -0*b - 3*b + v. Let m(c) = b*j(c) + a(c). Factor m(w).
-4*(w - 1)**2*(w + 2)
Let d(l) be the thir