(5*a - 2)/6
Let c = 3 - 0. Solve 0 - 5 - c - 6*k**3 - 3*k**2 + 17*k**2 = 0 for k.
-2/3, 1, 2
Let d(u) be the second derivative of 1/120*u**5 - 8*u - 1/180*u**6 + 0*u**2 - 1/36*u**3 + 0 + 1/72*u**4. Factor d(t).
-t*(t - 1)**2*(t + 1)/6
Let k(j) be the third derivative of j**6/60 - 7*j**5/6 + 67*j**4/12 - 11*j**3 + 691*j**2. Suppose k(b) = 0. Calculate b.
1, 33
Let t(n) be the first derivative of n**7/42 - n**5/10 + n**3/6 - 4*n + 7. Let f(m) be the first derivative of t(m). Factor f(a).
a*(a - 1)**2*(a + 1)**2
Factor 0 + 2/3*c**3 + 14/3*c - 16/3*c**2.
2*c*(c - 7)*(c - 1)/3
Let b(w) = 6*w + 1. Let f be b(12). Factor f - 5*g**3 - 73.
-5*g**3
Find v such that 88/5*v + 4/5*v**2 + 0 = 0.
-22, 0
Let h = -95 - -97. Factor 92*v + 20*v**h - 4*v**4 - 220*v + 8*v**3 + 104*v.
-4*v*(v - 3)*(v - 1)*(v + 2)
Suppose 22/21*p**2 + 0 + 2/21*p**3 + 20/21*p = 0. Calculate p.
-10, -1, 0
Suppose 73*k - 94 - 52 = 0. Let w(g) be the third derivative of 0*g + 0 + 4*g**k + 2*g**4 + 8/3*g**3 + 1/3*g**5. What is z in w(z) = 0?
-2, -2/5
Let c be 132/28 - 3/(42/(-4)). Let x(l) be the first derivative of 12/25*l**c + 0*l**2 - 2/15*l**6 + 8 - 3/5*l**4 + 0*l + 4/15*l**3. Factor x(d).
-4*d**2*(d - 1)**3/5
Let f(h) be the second derivative of -h**7/14 - h**6/10 + 9*h**5/20 + 5*h**4/4 + h**3 - 395*h. Let f(r) = 0. What is r?
-1, 0, 2
Determine b so that -760*b - 12*b**2 + 4*b**3 + 28 + 80 + 548*b + 112*b**2 = 0.
-27, 1
Let i be (-5)/(-10) - (-1)/(-2). Suppose -3*t**4 + 6*t**3 - 9*t**2 + 6*t**2 + i*t + 0*t = 0. Calculate t.
0, 1
Let j(a) be the first derivative of 21/2*a**2 + a**3 + 18*a - 1. Determine f so that j(f) = 0.
-6, -1
Suppose -2*w = 3*h - 9 + 1, 5*w = -2*h + 9. Let v(j) be the first derivative of 2 - 3/4*j**h + 1/8*j**4 + 0*j**3 - j. Solve v(y) = 0.
-1, 2
Let w(k) be the third derivative of 1/420*k**8 - 4/525*k**7 + 0*k**4 + 17*k**2 + 0 + 0*k**3 + 0*k**5 + 0*k + 0*k**6. Solve w(d) = 0 for d.
0, 2
Let x(i) be the second derivative of 3/5*i**5 + 2/3*i**3 + 0 - 35*i + 2/15*i**6 + 0*i**2 + i**4. Let x(n) = 0. What is n?
-1, 0
Let j(b) be the second derivative of b**6/15 + b**5/10 - 19*b**4/6 + 11*b**3/3 + 30*b**2 - 2*b + 19. Solve j(m) = 0 for m.
-5, -1, 2, 3
Factor -8*p**3 + 0*p - 90*p**2 - 1/5*p**4 + 3375.
-(p - 5)*(p + 15)**3/5
Let t(q) be the third derivative of -q**5/45 - 5*q**4/12 - 7*q**3/9 + 98*q**2. Factor t(d).
-2*(d + 7)*(2*d + 1)/3
Factor 35*a**4 - 63*a**4 + 32*a**4 + 4*a**2 + 8*a**3.
4*a**2*(a + 1)**2
Let y(c) = c**4 - 2*c**3 + 2*c**2 + 2*c - 1. Let t(l) = l**2. Let u be 12/(-60) + 31/5. Let n(q) = u*t(q) - 3*y(q). Find h such that n(h) = 0.
-1, 1
Let j(a) = 8*a**3 - 5*a**2 + 4*a. Let s(f) = -f**3 + f**2 - f. Suppose -4*n + 5*q = -36, -2*n + 45 = 3*q + 5. Let d(z) = n*s(z) + 2*j(z). Factor d(l).
2*l*(l - 1)*(l + 3)
Let m be 5*((-978)/(-120) + -8). Let d(l) be the first derivative of m*l**4 + 7 + 3*l**2 + 3*l**3 + 0*l. Let d(p) = 0. Calculate p.
-2, -1, 0
Let j(r) be the second derivative of r**4/6 + 74*r**3/3 + 1369*r**2 - 505*r. Factor j(v).
2*(v + 37)**2
Let q(l) be the second derivative of -l**6/90 - 8*l**5/5 - 256*l**4/3 - 16384*l**3/9 + 5*l + 40. Factor q(b).
-b*(b + 32)**3/3
Let f(k) be the third derivative of k**7/630 + k**6/36 + 23*k**5/180 + 7*k**4/36 + 31*k**2. Suppose f(g) = 0. What is g?
-7, -2, -1, 0
Let a(z) be the second derivative of -z**4/60 + z**3/10 - z**2/5 - 4*z. Factor a(f).
-(f - 2)*(f - 1)/5
Let x(n) be the third derivative of -n**5/330 - 4*n**4/33 - 64*n**3/33 + 311*n**2. Factor x(o).
-2*(o + 8)**2/11
Let i be 0/((-58 + 2)/(-7) + -7). Factor 2/3*x**5 + i*x + 0 + 0*x**4 - 4/3*x**2 - 2*x**3.
2*x**2*(x - 2)*(x + 1)**2/3
Let v be ((-2646)/252)/(14/(-8)). Suppose 0*z + 0*z**2 + 6*z**3 - v*z**4 + 3/2*z**5 + 0 = 0. Calculate z.
0, 2
Let w(m) be the second derivative of -1/120*m**6 + 0 + 3/80*m**5 + 0*m**3 - 13*m - 1/24*m**4 + 0*m**2. Factor w(t).
-t**2*(t - 2)*(t - 1)/4
Let c(x) be the second derivative of 2*x**6/15 + x**5/10 - 41*x**4/6 + 20*x**3/3 - 101*x + 2. What is l in c(l) = 0?
-5, 0, 1/2, 4
Suppose 7*u = 4*u - 12. Let j(n) = -4*n**3 - 2*n**2 + 6*n - 5. Let y(s) = 3*s**3 + 2*s**2 - 5*s + 4. Let x(d) = u*j(d) - 5*y(d). Factor x(f).
f*(f - 1)**2
Suppose -3*l - 2*w = l - 18, 0 = 2*l - 3*w + 3. Factor -4*i**l + i**4 + 2*i**3 - 2*i**4 - i**2.
-i**2*(i + 1)**2
Let u(d) be the first derivative of 39 - 4/25*d**5 - 3*d**4 - 92/15*d**3 - 4*d**2 + 0*d + 2/15*d**6. Solve u(y) = 0 for y.
-2, -1, 0, 5
Suppose 11 + 52 = 9*i. Suppose 2*k - 11 + i = 0. Factor -7/2*x**4 - x**k + 0*x + 0 - 9/2*x**3.
-x**2*(x + 1)*(7*x + 2)/2
Let o = 32 + -19. Suppose 3*h - o = r, 4*r - 5 - 15 = 0. Factor -2*t**4 + 16*t**3 + t**4 - 1 - 10*t**3 + 4*t - 2*t**3 - h*t**2.
-(t - 1)**4
Let u(l) be the first derivative of 2*l**6/21 + 52*l**5/35 - 15*l**4/7 - 52*l**3/21 + 4*l**2 + 36. Find o, given that u(o) = 0.
-14, -1, 0, 1
Let d be 0 - (-5)/5 - 442/(-10). Let x = 46 - d. Factor 2/5 - x*y + 2/5*y**2.
2*(y - 1)**2/5
Suppose -17*s + 144 + 36 = 73*s. Find i such that 1/2*i**5 - 1 + 1/2*i + 2*i**s - i**4 - i**3 = 0.
-1, 1, 2
Let j(z) be the second derivative of z**6/1080 - z**5/36 - 10*z**3/3 + 4*z. Let v(m) be the second derivative of j(m). Solve v(f) = 0 for f.
0, 10
Suppose -6*s - 128 = 22. Let q be 3/(-5) + (-90)/s. Factor -5*u**4 + 6*u**5 - 8*u**q + 4*u**2 - 2*u**5 + 4*u**3 + u**4.
4*u**2*(u - 1)**2*(u + 1)
Let w(g) be the third derivative of 0*g - 1/40*g**6 + 0*g**4 + 1/35*g**7 + 0*g**3 + 0 + 1/112*g**8 - 1/10*g**5 + 25*g**2. Let w(l) = 0. What is l?
-2, -1, 0, 1
Let k = 625 - 112499/180. Let d(f) be the third derivative of -1/72*f**4 + 0*f + f**2 + k*f**5 - 1/18*f**3 + 0 + 1/360*f**6. Determine r, given that d(r) = 0.
-1, 1
Let o(g) be the third derivative of 0*g**5 + 1/420*g**6 - 4*g**2 + 0*g**4 - 1/1960*g**7 + 0*g + 0 + g**3. Let r(b) be the first derivative of o(b). Factor r(n).
-3*n**2*(n - 2)/7
Let f(b) be the first derivative of -47 + 0*b - 1/30*b**5 - 2/3*b**2 - 7/9*b**3 - 7/24*b**4. Factor f(g).
-g*(g + 1)*(g + 2)*(g + 4)/6
Suppose -3*v - 2*v = -4*o - 2, -5*v + 6 = -2*o. Factor 0 - 1/6*y**o + 1/3*y.
-y*(y - 2)/6
Determine y, given that -205*y**3 + 39*y**2 + 3*y**4 - 18*y + 98*y**3 + 83*y**3 = 0.
0, 1, 6
Let s(t) be the second derivative of t**4/4 - 25*t**3/2 + 36*t**2 + 360*t. Suppose s(i) = 0. Calculate i.
1, 24
Let n(f) = f**2 - 5*f + 3. Let v be n(2). Let q be 0/((-3)/(-2)*2/v). What is k in -2/9*k**2 + q - 4/9*k = 0?
-2, 0
Let x(g) be the first derivative of -g**7/6300 - g**6/450 - g**5/100 - 11*g**3 - 30. Let c(b) be the third derivative of x(b). Factor c(y).
-2*y*(y + 3)**2/15
Let t = -57 + 60. Suppose 0*w**4 - t*w**5 - 2*w**4 - w**5 + 8*w**3 + 6*w**4 = 0. Calculate w.
-1, 0, 2
Let x(g) = -9*g**3 + 7*g**2 - 2*g - 4. Let o(u) = u**3 + 1. Let b be (-17 - -11)/((-3)/2). Let k(j) = b*o(j) + x(j). Determine a so that k(a) = 0.
0, 2/5, 1
Let z(b) = b**3 - 2*b**2 + b. Let p be z(2). Suppose p*a + 4 = 10. Let -x**3 - x**5 - x**a + 3*x**5 = 0. Calculate x.
-1, 0, 1
Let d(z) be the second derivative of -z**7/280 + z**6/120 + z**5/10 - z**4/2 + 7*z**3/3 + 2*z. Let t(c) be the second derivative of d(c). Factor t(n).
-3*(n - 2)*(n - 1)*(n + 2)
What is y in -56 - 11*y - 20*y - 5*y - 4*y**2 = 0?
-7, -2
Suppose 4*h - 3*m = 2*m + 758, -5*m = -5*h + 950. Let f = 580/3 - h. What is x in 4/3*x**2 - 8/3*x + f = 0?
1
Find f such that 553 + 106 + 31*f + f**2 - 83 - 79*f = 0.
24
Factor 33*d**3 - 110*d + 3*d**4 + 19*d**2 + 173*d + 74*d**2.
3*d*(d + 1)*(d + 3)*(d + 7)
Let b(r) be the second derivative of -2*r**7/21 - 64*r**6/15 - 361*r**5/5 - 1630*r**4/3 - 4600*r**3/3 - 2000*r**2 + r - 38. Factor b(v).
-4*(v + 1)**2*(v + 10)**3
Let t = 167 - 331/2. Let i(l) be the third derivative of 1/4*l**4 + 0 - 2*l**2 + t*l**3 - 1/20*l**5 + 0*l. Let i(d) = 0. Calculate d.
-1, 3
Let f(c) be the second derivative of -1/70*c**5 - 14*c + 1/7*c**2 - 1/42*c**4 + 0 + 1/21*c**3. Determine y so that f(y) = 0.
-1, 1
Let l(t) be the third derivative of -1/840*t**7 + 0 - 1/160*t**6 - 39*t + 1/24*t**4 + t**2 + 0*t**3 + 0*t**5. Find r such that l(r) = 0.
-2, 0, 1
Suppose -2*h = -3*h + 4. Factor -z - z**2 + h + 12 - 14.
-(z - 1)*(z + 2)
Let 324*v - 729/2 + 3/2*v**4 - 24*v**3 + 63*v**2 = 0. Calculate v.
-3, 1, 9
Let d = -111/26 - -10003/2340. Let l(t) be the third derivative of 7*t**2 - 1/45*t**5 + 0*t + 0 - 1/