) be the third derivative of g(n). Suppose x(v) = 0. What is v?
0, 2
Let h(c) be the second derivative of 3*c**5/4 - 3*c**4/4 - c**3 - 8*c. Find y, given that h(y) = 0.
-2/5, 0, 1
Let r(a) be the third derivative of a**7/105 + a**6/30 + a**5/30 + 11*a**2. Factor r(o).
2*o**2*(o + 1)**2
Let m = 10/3 + -17/6. Let b = 42 - 167/4. Let -b*k**2 + m*k - 1/4 = 0. Calculate k.
1
Let b(n) be the second derivative of n**6/120 + 5*n. Factor b(l).
l**4/4
Let k(j) be the first derivative of -1/12*j**3 - 3/16*j**4 - 1 + 0*j + 1/4*j**2. Factor k(h).
-h*(h + 1)*(3*h - 2)/4
Let h(l) be the first derivative of 0*l**2 + l**3 + 1/240*l**6 - 1/24*l**4 + 1/240*l**5 + 0*l - 1. Let j(z) be the third derivative of h(z). Factor j(u).
(u + 1)*(3*u - 2)/2
Let y(d) be the first derivative of 0*d - 7 - 2/33*d**3 + 2/11*d**2 - 1/22*d**4. Let y(k) = 0. Calculate k.
-2, 0, 1
Let p = 1361/10 + -136. Let k(y) be the second derivative of 0*y**2 + 1/15*y**6 - 1/21*y**7 + y + 0*y**3 + p*y**5 - 1/6*y**4 + 0. Factor k(i).
-2*i**2*(i - 1)**2*(i + 1)
Let l(j) = 7*j + 4. Let k be l(0). Let -2/7*i**k + 2/7*i**3 + 0 + 0*i + 0*i**2 = 0. What is i?
0, 1
Suppose 4*u = 2*w + u - 9, w - 2*u - 6 = 0. Suppose -2/7*j + 2/7*j**2 + w - 2/7*j**4 + 2/7*j**3 = 0. What is j?
-1, 0, 1
Factor 0 + 1/3*l**3 + 1/3*l**4 - 1/3*l**2 - 1/3*l.
l*(l - 1)*(l + 1)**2/3
Let g(r) be the second derivative of r**5/210 - r**4/42 + 8*r. Factor g(k).
2*k**2*(k - 3)/21
Let v(n) be the first derivative of -n**7/1680 + n**6/1440 + 2*n**3/3 - 3. Let t(y) be the third derivative of v(y). Factor t(f).
-f**2*(2*f - 1)/4
Suppose -4*k + 20 = k. Suppose 23 = 4*u + 4*d - 13, 0 = -k*u - 5*d + 40. Factor 6/5*l**u - 4/5*l**4 + 0 + 0*l**2 + 0*l + 0*l**3.
2*l**4*(3*l - 2)/5
Let a = -16 - -18. Factor 0*k - 2/3*k**4 + 0 + 2/3*k**a - 2/3*k**3 + 2/3*k**5.
2*k**2*(k - 1)**2*(k + 1)/3
Let k be 1 - -2 - (-27)/(-18). Factor 3/2*n**2 + 0 + k*n.
3*n*(n + 1)/2
Find u such that 2*u**2 - 8*u + 8*u - 38 + 20 = 0.
-3, 3
Let n(h) be the first derivative of 2*h**3/3 - h**2 - 4*h + 3. Suppose n(w) = 0. Calculate w.
-1, 2
Suppose -v**4 - 8*v**3 + 10*v**2 + 2*v**4 + 0*v**3 - 3*v**4 = 0. Calculate v.
-5, 0, 1
Let p(h) = h**4 + h**3 + h**2 - h. Let v(k) = 0*k**2 + 2*k - k**3 - k**2 - 3*k**4 - k**5 - 2*k**2. Let q(d) = -6*p(d) - 2*v(d). Factor q(z).
2*z*(z - 1)**2*(z + 1)**2
Suppose 58*v = 39*v. Factor v*q + 0 + q**2 + 9/2*q**3 + 5*q**4.
q**2*(2*q + 1)*(5*q + 2)/2
Let x = 13 - 8. Let k be (0 + -1)*(4 - x). Factor 2*s**4 + 5*s**3 + 3*s**3 + 2*s**2 + 8*s + 10*s**2 + k + 1.
2*(s + 1)**4
Let r(v) = -v**2 - v - 1. Let w be r(-2). Let o be (w + 1)/(-1 - 3). Factor 1/2*j**5 + o*j - j**3 + 0*j**2 + 0 + 0*j**4.
j*(j - 1)**2*(j + 1)**2/2
Let v(i) be the third derivative of -i**7/70 + 3*i**6/40 - 3*i**5/20 + i**4/8 - 9*i**2. Solve v(b) = 0.
0, 1
Suppose -3*h + 45 - 9 = 0. Suppose -7*t + h = -3*t. Factor -4/7 - 10/7*a + 6/7*a**5 + 0*a**2 + 20/7*a**4 + 20/7*a**t.
2*(a + 1)**4*(3*a - 2)/7
Suppose -3*c = -36 - 3. Let i = -9 + c. Factor 0*g + 2/3*g**3 + 0*g**2 + 0 - 2/3*g**5 + 0*g**i.
-2*g**3*(g - 1)*(g + 1)/3
Let o(d) be the third derivative of 1/4*d**4 - 1/60*d**5 + 0*d + 0 - 3/2*d**3 - 9*d**2. Factor o(p).
-(p - 3)**2
Let u(g) be the third derivative of 0*g**3 + 7*g**2 + 0 + 0*g - 1/600*g**6 + 1/525*g**7 + 0*g**4 + 0*g**5 - 1/1680*g**8. Determine w, given that u(w) = 0.
0, 1
Suppose 5*g - 4 = 3*r - 19, -3*g = r + 9. Let k(c) = -c + 2. Let w be k(g). Determine v so that -w*v**2 + 2*v + 2*v**2 + 2*v**2 - 1 = 0.
1
Suppose -d = 2*d + 4*o + 3, 5*d = 5*o + 30. Find b, given that -5*b**2 + 4*b**3 - d*b**4 - 3*b**4 + 2*b + 5*b**4 = 0.
0, 1, 2
Let v(h) be the second derivative of -h**7/105 + h**5/30 + h**2/2 - 3*h. Let g(x) be the first derivative of v(x). Solve g(m) = 0 for m.
-1, 0, 1
Let k(y) = -13*y**3 - 23*y**2 + 22*y + 18. Let j(d) = -220*d**3 - 390*d**2 + 375*d + 305. Let i(a) = 2*j(a) - 35*k(a). Factor i(g).
5*(g - 1)*(g + 2)*(3*g + 2)
Factor 175*g + 2*g**2 - 2 - 175*g.
2*(g - 1)*(g + 1)
Let f(d) be the first derivative of d**8/336 - d**6/60 + d**4/24 + 5*d**2 - 6. Let l(v) be the second derivative of f(v). Find y, given that l(y) = 0.
-1, 0, 1
Let m be (-16)/(-80)*(-315)/(-12). Let 3/4*n**3 + 15/4*n**2 + m*n + 9/4 = 0. What is n?
-3, -1
Let 4/13*s**3 + 8/13*s**2 - 4/13*s**4 - 4/13 - 2/13*s - 2/13*s**5 = 0. Calculate s.
-2, -1, 1
Let a(v) = v**2 - 4*v + 2. Let q be a(4). Factor -1 - 10*x**2 - 8*x**3 - q*x + 0*x**2 + 1.
-2*x*(x + 1)*(4*x + 1)
Let d(n) be the third derivative of -1/360*n**5 + 0*n**4 - n**2 + 0*n**3 + 0*n + 0. Determine v so that d(v) = 0.
0
Find k, given that 0 + 1/5*k**5 + 0*k + 0*k**4 - 2/5*k**2 - 3/5*k**3 = 0.
-1, 0, 2
Let p(j) be the third derivative of -1/9*j**3 - 1/90*j**6 + 2*j**2 + 0*j + 0*j**5 + 0 + 1/18*j**4 + 1/315*j**7. Determine d so that p(d) = 0.
-1, 1
Let q(c) = 3*c + 65. Let n be q(-20). Determine s so that -2/3*s**2 + 1/3 - 2*s**3 + s**n + s + 1/3*s**4 = 0.
-1, -1/3, 1
Find p, given that 6*p**2 - 5*p**2 + p**2 + 2*p**3 = 0.
-1, 0
Let y(x) be the second derivative of -3*x**7/14 - 11*x**6/10 - 9*x**5/4 - 9*x**4/4 - x**3 - 2*x. Factor y(z).
-3*z*(z + 1)**3*(3*z + 2)
Let h(m) be the second derivative of -2*m**6/105 - 4*m**5/35 - 4*m**4/21 - 17*m. Factor h(t).
-4*t**2*(t + 2)**2/7
Factor -2/7*r**5 - 12/7 - 80/7*r**2 - 20/7*r**4 - 50/7*r - 60/7*r**3.
-2*(r + 1)**4*(r + 6)/7
Let z(i) = 3*i**2 - i - 2. Suppose 2*g - 4*g = x - 13, -2*g - 4*x = -28. Let r(a) = -5*a**2 + a + 4. Let o(t) = g*r(t) + 7*z(t). Let o(p) = 0. Calculate p.
1, 2
Let o(p) be the third derivative of -3*p**2 + 0 + 0*p**4 + 3/100*p**5 + 0*p**3 + 0*p + 1/100*p**6 + 1/1050*p**7. Determine t so that o(t) = 0.
-3, 0
Let r be (15/3*-1)/(-1). Find u, given that 4*u**2 + r - 8*u + 3 + 2*u - 6*u = 0.
1, 2
Let b(t) be the second derivative of t**3/6 + 5*t**2/2 - 3*t. Let r be b(-3). Let 11 - 9*z**r + 1 + 8*z**3 + 8*z - 20*z - 3*z**4 + 4*z**3 = 0. Calculate z.
-1, 1, 2
Determine m so that 0*m - 3/5*m**3 + 0 + 6/5*m**2 = 0.
0, 2
Let r(b) = -b + 6. Let u be r(3). Factor f**4 - f**u - 3*f**2 + 2 - 7 + 5*f + 3 + 0.
(f - 1)**3*(f + 2)
Suppose -5*f + 2*h + 26 = -f, 0 = -3*h - 3. Factor -2*j**5 - j**4 - j**2 + 4*j**5 + 2*j**3 + f*j**4 - j + j**3.
j*(j + 1)**3*(2*j - 1)
Let g = 38 + -38. Let y(o) be the first derivative of g*o - 1/15*o**6 - 3/5*o**4 + 2 - 8/25*o**5 - 1/5*o**2 - 8/15*o**3. Factor y(d).
-2*d*(d + 1)**4/5
Suppose 191 = -4*i + 203. Suppose -8/5*b - 4/5 - 1/5*b**i - b**2 = 0. What is b?
-2, -1
Let m(g) be the second derivative of 5*g**7/42 + g**6/3 - 5*g**4/6 - 5*g**3/6 + 8*g. Factor m(o).
5*o*(o - 1)*(o + 1)**3
Solve 3*f - 40*f**2 + 13*f - 20*f**3 + 118 - 86 + 8*f**4 + 4*f**5 = 0.
-2, -1, 1, 2
Let r(g) = -g + 13. Let b be r(10). Determine v, given that -5 - 3*v**4 + 5 + b*v**5 = 0.
0, 1
Factor 8/13*w**2 - 10/13*w + 4/13 - 2/13*w**3.
-2*(w - 2)*(w - 1)**2/13
Let u = 89/186 - -2/93. Factor 0*n + 0 - u*n**2.
-n**2/2
Let i(d) be the first derivative of -d**4/12 + d**3/18 + 5*d**2/12 + d/3 - 3. Suppose i(l) = 0. What is l?
-1, -1/2, 2
Let m = -230/3 + 77. Let x(j) be the first derivative of -1/12*j**4 + 3 - m*j + 1/6*j**2 + 1/9*j**3. Factor x(f).
-(f - 1)**2*(f + 1)/3
Let r = 46 + -46. Let n(l) be the second derivative of l + 1/50*l**5 - 2/15*l**3 + 0*l**2 - 1/30*l**4 + r. Determine z so that n(z) = 0.
-1, 0, 2
Let s(c) = 35*c**3 + 76*c**2 + 16*c. Let u(a) = -315*a**3 - 685*a**2 - 145*a. Let o(l) = -35*s(l) - 4*u(l). Determine m so that o(m) = 0.
-2, -2/7, 0
Let -1/4*c - 1/4*c**3 + 1/2*c**2 + 0 = 0. Calculate c.
0, 1
Suppose -9*a**3 + 3*a**5 - 3*a**4 - 6*a**3 - 9*a**2 + 0*a**3 = 0. What is a?
-1, 0, 3
Let l = -122/33 - -48/11. Let f be (6/(-15))/((-18)/10). Find r such that l*r + f - 8/9*r**2 = 0.
-1/4, 1
Let h = 295/2 + -152. Let u = 5 + h. Factor u*b + b**2 + 0 + 1/2*b**3.
b*(b + 1)**2/2
Let b be (10/8 + -1)/((-301)/(-344)). Factor -2/7*y**3 + 0 + 0*y + b*y**2.
-2*y**2*(y - 1)/7
Let a(w) be the first derivative of 0*w - 1/2*w**2 + 1/6*w**3 - 2 + 1/8*w**4. Factor a(t).
t*(t - 1)*(t + 2)/2
Let q = -6131/42 + 146. Let c(f) be the second derivative of -f - 1/21*f**3 + 0*f**2 + 0 - q*f**4. Determine y so that c(y) = 0.
-1, 0
Let t(c) be the first derivative of -5*c**3/12 + 3*c**2/4 - c/4 - 5. Suppose t(u) = 0. Calculate u.
1/5, 1
Let n be (34/(-12))/(-17)*9. Let -1/2*q**2 + q + n = 0. Calc