 the third derivative of 0*d - 3/7*d**5 - 1/245*d**7 + 1/15*d**6 + c*d**4 + 0 - 9/7*d**3 - 8*d**2. Factor o(g).
-2*(g - 3)**3*(3*g - 1)/7
Suppose 17*i - 14*i = 0. Let d(g) be the third derivative of -1/27*g**4 - 3*g**2 + 0*g + 2/135*g**5 + i*g**3 + 0 - 1/540*g**6. Let d(m) = 0. Calculate m.
0, 2
Let x(j) be the third derivative of j**5 + 21/20*j**6 - 18*j**2 + 2*j + 1/3*j**4 + 0*j**3 + 0 + 7/30*j**7. What is t in x(t) = 0?
-2, -2/7, 0
Suppose -4*n = 3*n - 21. Determine g so that 48 + n*g - 11*g - 5*g**2 + 3*g - 18 = 0.
-3, 2
Let p(q) = 58*q**2 - 89 - 62*q - 59*q**2 + 8. Let l(g) = -g**2 - 41*g - 54. Let t(r) = 8*l(r) - 5*p(r). Solve t(v) = 0 for v.
-3
Let o = 7777/18 + -432. Let y(g) be the first derivative of 1/12*g**2 + o*g**3 + 0*g - 2. Factor y(j).
j*(j + 1)/6
Suppose 0*z**2 + 2/5*z**5 + 0 - 24/5*z**3 + 0*z - 8/5*z**4 = 0. What is z?
-2, 0, 6
Let i(y) be the second derivative of -15*y**7/14 + 73*y**6/30 + 29*y**5/10 - 13*y**4/3 + 4*y**3/3 + 68*y. Suppose i(z) = 0. What is z?
-1, 0, 2/9, 2/5, 2
Let p**5 + 42*p**2 + 23*p**3 - 20*p + 12*p**3 + 15*p**3 - 67*p**3 - 6*p**2 = 0. What is p?
-5, 0, 1, 2
Factor 183*r - r**2 - 23*r + 2*r**4 + r**4 + 42*r**3 + 46 + 54 - 64*r**3.
(r - 5)**2*(r + 2)*(3*r + 2)
Suppose 2*x = -6*x. Let c = 1/5 - x. Factor -1/5*y**4 - 1/5*y**3 + 0*y + c*y**5 + 0 + 1/5*y**2.
y**2*(y - 1)**2*(y + 1)/5
Let t(a) = -4*a**2 + 20*a + 24. Let c(w) = 4*w**2 - 20*w - 24. Let k(q) = 6*c(q) + 5*t(q). Factor k(o).
4*(o - 6)*(o + 1)
Find v, given that 2/9*v**2 + 8/9*v - 10/9 = 0.
-5, 1
Factor -2 + 2*b**2 - 2/3*b + 2/3*b**3.
2*(b - 1)*(b + 1)*(b + 3)/3
Let v be 5 - 4 - 3/((-180)/(-44)). Let i(w) be the third derivative of v*w**4 + 1/75*w**5 + 0*w + 0 + 32/15*w**3 - 11*w**2. What is t in i(t) = 0?
-4
Let y(m) = 65*m**3 - 90*m**2 + 190*m - 55. Let b(i) = 7*i**3 - 10*i**2 + 21*i - 6. Let u(n) = 55*b(n) - 6*y(n). Let u(k) = 0. Calculate k.
-3, 0, 1
Let c(k) = -k**2. Let f(y) = 8*y - 37. Let p be f(5). Let i(u) = -15*u**3 + 7*u**2 + 35*u + 10. Let j(s) = p*c(s) - i(s). Find q such that j(q) = 0.
-1, -1/3, 2
Let p(d) be the second derivative of d**5/70 - d**4/21 - d**3/21 + 2*d**2/7 - 144*d. Solve p(u) = 0 for u.
-1, 1, 2
Let v(h) be the first derivative of -h**4/6 + 2*h**3/9 + 7*h**2 - 30*h - 49. Factor v(a).
-2*(a - 3)**2*(a + 5)/3
Factor 20111*i**2 - 20083*i**2 + 2*i**3 - 7*i - 23*i.
2*i*(i - 1)*(i + 15)
Determine s, given that -3675/2 - 1/6*s**2 + 35*s = 0.
105
Suppose 473*g + 249 = 556*g. What is f in 19/2*f - 3 - 34/3*f**2 + 19/3*f**g - 5/3*f**4 + 1/6*f**5 = 0?
1, 2, 3
Solve 16*u**3 + 4*u - 12*u**4 - 4*u**5 + 12*u - u**5 + 48*u**2 = 0.
-2, -2/5, 0, 2
Let 2*h**2 - 11*h**3 - 5 + h**4 - 5 + 0 - 4*h + 7*h**2 + 15*h = 0. Calculate h.
-1, 1, 10
Let u(r) = -2*r - 2. Let j be u(-2). Let l be (14/(-4) + 0)*64/(-112). Suppose j*v**3 + 7*v - 2*v**l + v**4 - 9*v - 2*v**2 + 3*v**2 = 0. Calculate v.
-2, -1, 0, 1
Let w be 3 - (-15 - (-3)/3). Suppose -4*y = -w + 1. What is b in -b**5 - b**4 - y*b**4 - 1 + 4*b**4 + 2*b**3 - b + 2*b**2 = 0?
-1, 1
Let f(n) be the third derivative of -n**8/30240 + n**7/1512 - n**6/270 - n**5/60 - 11*n**2. Let b(i) be the third derivative of f(i). Let b(m) = 0. What is m?
1, 4
Let g = 639/17560 - 5/439. Let h(n) be the second derivative of 1/24*n**4 + 0 - 1/30*n**6 + 0*n**3 - g*n**5 + 0*n**2 - 12*n. Determine t so that h(t) = 0.
-1, 0, 1/2
Solve -23/4*o**2 + 5/4*o**4 - 7/4*o**3 + 3/2 - 5/4*o = 0 for o.
-1, 2/5, 3
Let g(y) = -4*y**3 + 30*y**2 + 213*y + 426. Let u(h) = 18*h**3 - 118*h**2 - 851*h - 1702. Let w(f) = 26*g(f) + 6*u(f). Factor w(d).
4*(d + 6)**3
Let z(i) be the second derivative of i**4/18 + 8*i**3/9 + 4*i**2 - 128*i. Suppose z(k) = 0. What is k?
-6, -2
What is h in -112*h - 144 + 57*h**3 + 2374*h**2 + 2459*h**2 - 4770*h**2 + 3*h**5 - 27*h**4 - 56*h = 0?
-1, 3, 4
Suppose 0*l + 1/2*l**5 + 0*l**2 - 3*l**3 + 0 + 5/2*l**4 = 0. Calculate l.
-6, 0, 1
Let p(n) = -n**3 - 19*n**2 - 18*n + 2. Let z be p(-18). Let 16*i - z*i**2 + 6*i**2 - 8*i**2 - 16 = 0. Calculate i.
2
Let s(v) = v**2 + v - 14. Let l(x) = -3*x**2 - 2*x + 40. Let d(a) = -6*l(a) - 21*s(a). Let d(k) = 0. Calculate k.
-6, 3
Let f be (19/(-76))/(3/(-15)). Factor 0 + 1/2*o - f*o**4 - 9/4*o**2 + 3*o**3.
-o*(o - 1)**2*(5*o - 2)/4
Let c = 5063 - 25311/5. Factor 0 + 8/5*w**2 + 4/5*w**5 + 0*w**3 - 8/5*w**4 - c*w.
4*w*(w - 1)**3*(w + 1)/5
Let u be (232/(-18))/(1700/6375 - (-3)/(-5)). Let u*b + 40*b**2 + 28/3*b**3 + 8 = 0. What is b?
-3, -1, -2/7
Let i(t) = 11*t**3 + 76*t**2 + 70*t + 12. Let s = -26 + 32. Let f(v) = -12*v**3 - 76*v**2 - 70*v - 12. Let j(m) = s*i(m) + 7*f(m). Let j(h) = 0. What is h?
-3, -1, -2/9
Suppose 2*n - n = 4*r - 2, -n - 5*r + 7 = 0. Suppose -2/5*l**3 - 6/5*l**n - 6/5*l - 2/5 = 0. Calculate l.
-1
Let b(a) be the third derivative of -17*a**2 + 1/8*a**4 + 0 + 1/20*a**5 - a**3 + 0*a. Solve b(o) = 0 for o.
-2, 1
Let j(m) be the second derivative of -2/21*m**3 + 3/14*m**2 - 5/84*m**4 + 1/70*m**5 + 0 + m. Factor j(s).
(s - 3)*(s + 1)*(2*s - 1)/7
Let h(a) be the first derivative of 3*a**4/20 - 4*a**3/5 + 3*a**2/2 - 6*a/5 - 111. Let h(j) = 0. What is j?
1, 2
Let 18 - 57*o**2 + 34*o**2 + 22*o**2 - 99 + 18*o = 0. What is o?
9
Let x(w) = 4*w**5 - 5*w**4 - 17*w**3 + 3*w**2 + 5. Let j = 51 + -48. Let z(y) = 2*y**5 - 3*y**4 - 9*y**3 + y**2 + 3. Let k(f) = j*x(f) - 5*z(f). Factor k(q).
2*q**2*(q - 1)**2*(q + 2)
Factor -46*z**4 - 10656*z + 23*z**4 + 288*z**3 + 4888*z**2 + 5476 + 27*z**4.
4*(z - 1)**2*(z + 37)**2
Let h(r) be the first derivative of -r**8/420 - 4*r**7/525 + 5*r**2/2 - 10. Let j(v) be the second derivative of h(v). Factor j(p).
-4*p**4*(p + 2)/5
Let o(h) be the second derivative of -h**8/5880 + h**7/980 - h**5/105 - 2*h**3 + 3*h. Let n(j) be the second derivative of o(j). Let n(v) = 0. What is v?
-1, 0, 2
Let l(v) be the third derivative of v**6/60 + 11*v**5/30 + 2*v**4/3 - 20*v**3/3 + 204*v**2. Suppose l(g) = 0. Calculate g.
-10, -2, 1
What is m in 0 - 2/3*m**2 + 4/3*m = 0?
0, 2
Let k = -765 + 773. Let l(f) be the first derivative of -5 - 2*f**2 + 1/6*f**3 + k*f. Solve l(y) = 0.
4
Let v(h) be the first derivative of -h**5/10 - 5*h**4/8 - 3*h**3/2 - 7*h**2/4 - h - 613. Factor v(b).
-(b + 1)**3*(b + 2)/2
Let x(q) = -71*q**3 + 2*q**2 - 2*q + 1. Let m be x(1). Let o be (26/5)/((m/25)/(-2)). Factor 10/7*t**3 - o*t**2 + 8/7*t + 8/7.
2*(t - 2)*(t - 1)*(5*t + 2)/7
Let h be (-26)/(-5) - 2/10. Suppose 2*v = 3*v, h*t - 3*v = 0. Factor x**2 - 4 - x + 0*x**2 - 3*x + x**3 + t*x**2.
(x - 2)*(x + 1)*(x + 2)
Factor -405/2*j - 6*j**2 + 51.
-3*(j + 34)*(4*j - 1)/2
Let y(v) be the first derivative of -9*v**5/5 - 12*v**4 - 23*v**3 - 9*v**2 + 76. Factor y(a).
-3*a*(a + 2)*(a + 3)*(3*a + 1)
Suppose -18*q = 2*q + 9*q. Factor 0 - 2/5*f**4 - 2/5*f**3 + q*f + 0*f**2.
-2*f**3*(f + 1)/5
Let c(a) be the first derivative of -7/24*a**4 + 1/3*a**2 + 0*a - 2/3*a**3 - 1. Factor c(g).
-g*(g + 2)*(7*g - 2)/6
Let b(t) be the first derivative of -t**3/12 - 27*t**2/8 - 13*t/2 - 167. Factor b(l).
-(l + 1)*(l + 26)/4
Let r(z) be the second derivative of z**6/96 - z**5/80 - z**4/8 - z**3/6 - 7*z**2 - 12*z. Let n(q) be the first derivative of r(q). Factor n(l).
(l - 2)*(l + 1)*(5*l + 2)/4
Factor 1/9*t**2 + 196 - 28/3*t.
(t - 42)**2/9
Let d be 3*((-15)/(-9))/1. Solve 9*m**3 - 2*m**2 - 13*m**2 + 22*m**4 - 19*m**4 - 3*m**d + 6*m = 0 for m.
-2, 0, 1
Let h = 7 + -71. Let w = h + 257/4. Let -1/2*l + 1/4*l**3 + 0 + w*l**2 = 0. Calculate l.
-2, 0, 1
Let g(w) be the first derivative of -5*w**2 + 1/15*w**5 + 1 - 8/3*w**3 + 0*w + 0*w**4. Let o(c) be the second derivative of g(c). What is t in o(t) = 0?
-2, 2
Let t(s) be the first derivative of s**3/24 - 75*s**2/4 + 5625*s/2 + 424. Factor t(h).
(h - 150)**2/8
Let 2/5*g**2 - 24/5 - 2/5*g = 0. Calculate g.
-3, 4
Suppose 0 = -j + 6*j - 535. Let k = j - 107. What is a in 0 + 0*a + 0*a**2 + 2/3*a**4 + k*a**3 - 1/3*a**5 = 0?
0, 2
Let i(p) be the third derivative of -p**8/560 + p**7/280 + p**6/60 - 11*p**3/6 - p**2. Let f(w) be the first derivative of i(w). Factor f(m).
-3*m**2*(m - 2)*(m + 1)
Determine z so that -5*z**5 + 84*z**3 + 172*z**4 + 135*z - 122*z**4 + 180*z**2 - 254*z**3 - 270 = 0.
-1, 2, 3
Let q(r) be the third derivative of r**7/945 - r**6/270 - r**5/270 + r**4/54 - r**2 + 7. Find z such that q(z) = 0.
-1, 0, 1, 2
Solve 11*b**2 - 2*b**3 + 21*b 