e first derivative of -m**7/420 + m**6/180 + m**3/3 + 3. Let k(i) be the third derivative of n(i). Let k(y) = 0. What is y?
0, 1
Let -20*b - 18*b**2 - 6*b**2 + 98*b**3 - 4*b**2 + 12*b + 343*b**4 = 0. Calculate b.
-2/7, 0, 2/7
Let i(d) be the second derivative of -d**7/2520 + d**6/180 - d**5/30 - d**4/4 + d. Let h(p) be the third derivative of i(p). Factor h(z).
-(z - 2)**2
Let i be 4/18 - (-33)/(-27). Let g(t) = -6*t**3 - 2*t**2 + 1. Let o be g(i). Factor -1/3*u**3 + 0*u - 1/3*u**4 + 1/3*u**2 + 1/3*u**o + 0.
u**2*(u - 1)**2*(u + 1)/3
Let d(z) be the third derivative of -z**5/630 - 5*z**4/252 + 37*z**2. Factor d(u).
-2*u*(u + 5)/21
Let c = -6 - 3. Let o(z) = 10*z - 8. Let r(w) = w**2 + 41*w - 32. Let y(g) = g**3 + 5*g**2 + 5*g + 6. Let u be y(-4). Let l(k) = c*o(k) + u*r(k). Factor l(v).
2*(v - 2)**2
Let o(u) be the third derivative of 0*u**3 + 1/180*u**5 + 1/360*u**6 + 0 - 1/1008*u**8 + 0*u**4 - 1/630*u**7 + 0*u + u**2. Find f such that o(f) = 0.
-1, 0, 1
Let p(n) be the second derivative of 1/2*n**3 + 3*n - 1/5*n**5 + 0 - 2/3*n**4 + 9/2*n**2. Find s such that p(s) = 0.
-3/2, 1
Let i(y) = y**2 - 3*y - 2. Let m be i(-2). Let l = m - 15/2. Factor k - l*k**2 + 0.
-k*(k - 2)/2
Let h(u) = 6*u - 12. Let y be h(2). Let l(c) be the second derivative of -3*c + 0*c**2 - 1/18*c**3 + y - 1/36*c**4. Factor l(x).
-x*(x + 1)/3
Suppose -3 = -n + 2*d, 3*n + 2*d - 16 = d. Solve -n*i + 5*i**3 - 9*i**3 - 4*i**2 + 5*i = 0.
-1, 0
Suppose -266*a**3 + 1230*a**3 + 4*a**5 + 1113*a**2 + 4864*a + 104*a**4 + 2567*a**2 + 2048 = 0. What is a?
-8, -1
Let z(g) be the second derivative of 4/3*g**3 - 1/3*g**4 + 6*g**2 + 2*g + 0. Determine x so that z(x) = 0.
-1, 3
Let r(g) be the third derivative of -25*g**8/12 + 64*g**7/21 + 137*g**6/30 - 62*g**5/15 - 26*g**4/3 - 16*g**3/3 + 24*g**2. Let r(w) = 0. What is w?
-2/5, -2/7, 1
Let u(s) = s**3 - 5 + 2*s**4 - 4 + 11 - s - 4*s**2. Let i(z) = z**2 + 2*z + 8*z**2 - z**2 - 5 - 3*z**4 - 2*z**3. Let h(a) = 2*i(a) + 5*u(a). Factor h(r).
r*(r - 1)*(r + 1)*(4*r + 1)
Factor -20*c**2 + 5*c**4 - 46*c**2 - 10*c**4 + 31*c**3 + 52*c - 8.
-(c - 2)**3*(5*c - 1)
Suppose 2*i + u - 4 = 0, 5*i - 2*u + 0*u = -8. Let m(p) be the first derivative of 1 + i*p + 1/2*p**6 + 0*p**2 - 9/5*p**5 + 3/2*p**4 + 0*p**3. Factor m(b).
3*b**3*(b - 2)*(b - 1)
Find q such that 8*q**2 - 5 - 2*q**3 + 0*q**2 + 5 = 0.
0, 4
Suppose -4*u - 5*t = -61, -4 - 5 = -u + 5*t. Factor 4 + 4*z - u*z + 6*z**2 - 4*z + 0.
2*(z - 2)*(3*z - 1)
Suppose 0*j + 0*j**3 + 2/9*j**2 + 0 - 2/9*j**4 = 0. Calculate j.
-1, 0, 1
Let v = 13 + -6. Let u(y) be the third derivative of 1/36*y**4 - 1/180*y**6 + y**2 + 1/90*y**5 - 1/315*y**v + 0*y + 0*y**3 + 0. What is c in u(c) = 0?
-1, 0, 1
Factor -16/7*s**2 - 2*s - 2/7 + 32/7*s**3.
2*(s - 1)*(4*s + 1)**2/7
Suppose -8*c = -13*c + 25. Determine a so that 14/3*a**c - 4/3*a**4 + 0*a - 14/3*a**3 + 0 + 4/3*a**2 = 0.
-1, 0, 2/7, 1
Factor 2*g**5 - 6*g**2 - 3*g**3 + 4*g**4 + 5*g**3 + 6*g**2.
2*g**3*(g + 1)**2
Suppose 3*l + k + 3*k = 11, -2*l + 13 = -3*k. Suppose -9 = -l*r - 2*b, 0 = -2*b - 7 + 1. Find m such that -4*m**r + 0*m**3 + 5*m**3 + m**4 = 0.
-1, 0
Let a(r) be the third derivative of -r**6/600 + r**5/300 + r**4/60 + 4*r**2. Factor a(k).
-k*(k - 2)*(k + 1)/5
Suppose g = -0*o + 4*o - 17, 4*o + 5*g - 11 = 0. Factor 0*p + 0 + 1/3*p**2 + 1/3*p**o + 2/3*p**3.
p**2*(p + 1)**2/3
Suppose -3*m = -4*f - 14, -5*m - f + 3*f = 0. Let d be 1 + 12/3 + m. Determine p, given that -2/3*p**2 + 0 + 0*p + 2/3*p**d = 0.
0, 1
Let m(n) be the second derivative of n**6/6 - n**5/2 + 5*n**3/3 - 5*n**2/2 - n. Determine d so that m(d) = 0.
-1, 1
Let b(g) be the second derivative of g**6/50 - 3*g**5/25 + g**4/10 + 2*g**3/5 - 9*g**2/10 - 42*g. Suppose b(d) = 0. Calculate d.
-1, 1, 3
Suppose -2*t + t = 0. Factor -1 - f**3 + f**3 - f**4 + 2*f**2 + t*f**3.
-(f - 1)**2*(f + 1)**2
Let p = 5 - 7. Let o be 14/4 - (p - -5). Factor -x - 1/2 - o*x**2.
-(x + 1)**2/2
Let b(i) be the second derivative of -i**7/126 - i**6/30 - i**5/60 + i**4/12 + i**3/9 - 15*i. Let b(p) = 0. What is p?
-2, -1, 0, 1
Suppose -4*m - 155 = -167. Solve -1/3*s**m + 1/3 - 1/3*s**2 + 1/3*s = 0.
-1, 1
Let n be (-6)/(-6*1/(-9)). Let u(y) = -y**3 - 8*y**2 + 8*y - 9. Let b be u(n). Solve b + 1/2*x**2 + 2*x**5 + 11/2*x**4 - 1/2*x + 9/2*x**3 = 0.
-1, 0, 1/4
Let i(g) be the third derivative of g**9/60480 - g**7/5040 - g**5/20 + 6*g**2. Let n(c) be the third derivative of i(c). Find l such that n(l) = 0.
-1, 0, 1
Let b be (16/(-10))/(3*8/(-60)). Let c(w) be the third derivative of 4*w**2 + 0*w**3 + 0 + 0*w - 1/30*w**5 - 1/6*w**b. Factor c(x).
-2*x*(x + 2)
Let y(p) = -p**3 + p**2 - p - 2. Let h be y(2). Let c be ((-3)/(-2))/((-6)/h). Factor -2*j**3 + c*j + 2*j**2 + j**3 - 3*j.
-j*(j - 1)**2
Let u = -72 + 577/8. Let l(y) be the first derivative of 2 + u*y**4 + 0*y**3 - 1/4*y**2 + 0*y. Determine i, given that l(i) = 0.
-1, 0, 1
Let x(i) = i**3 + 6*i**2 + 3*i - 10. Let m be x(-5). Suppose -4*q + 4 = -3*q. Find a such that 0*a**q + 0*a**2 + m + 0*a - 1/4*a**3 + 1/4*a**5 = 0.
-1, 0, 1
Determine u, given that -2 - 12*u**2 + u**2 + 3*u**2 + 9*u**2 + u = 0.
-2, 1
Let -9/4*d - 9*d**2 - 21/4*d**3 + 3/2 = 0. Calculate d.
-1, 2/7
Suppose 9 = 4*c - h, -3*c + 4*h - 1 = -11. Factor -3*d**3 + 4*d**c + 0*d**3 + 5*d**3 - d + 3*d.
2*d*(d + 1)**2
Let k = 1 + 2. Let p be 2 - k - -3*1. Factor w**2 + 5*w**p + w**3 - 4*w**3.
-3*w**2*(w - 2)
Suppose 0 = j + q - 8, 2*j - 3*j - 4 = -2*q. Determine l, given that 2*l**5 + 3*l**5 - 6*l**3 - 4*l**2 - 6*l**5 - l - j*l**4 = 0.
-1, 0
Let r be 12/(-6) + (-95)/(-44). Let i = r - -1/11. Solve 0 - 1/4*q**4 - 1/4*q + i*q**3 + 1/4*q**2 = 0.
-1, 0, 1
Let z(v) = -2*v**2 - 1. Let g be z(1). Let u be 2 - (-3)/g - -2. Factor -1/4 - 1/4*s**u - 3/4*s**2 - 3/4*s.
-(s + 1)**3/4
Suppose h + h = 0. Let j(o) be the third derivative of h*o**3 + 2*o**2 + 1/175*o**7 + 1/150*o**5 - 1/100*o**6 + 0*o + 0 + 0*o**4 - 1/840*o**8. Factor j(m).
-2*m**2*(m - 1)**3/5
Let b(j) be the second derivative of -j**7/14 - 3*j**6/10 - 9*j**5/20 - j**4/4 + 9*j. Factor b(l).
-3*l**2*(l + 1)**3
Let d(v) be the second derivative of 16*v**7/21 + 8*v**6/3 + 5*v**5/2 - 5*v**4/6 - 5*v**3/3 + v**2 + 56*v. Determine k, given that d(k) = 0.
-1, 1/4
Let x(j) be the second derivative of -2*j**6/75 + 2*j**5/25 + j**4/15 - 4*j**3/15 + 3*j. Determine n, given that x(n) = 0.
-1, 0, 1, 2
Let b(t) be the second derivative of 0*t**3 - 1/45*t**6 - 2*t + 1/18*t**4 + 0 + 0*t**2 + 0*t**5. Factor b(o).
-2*o**2*(o - 1)*(o + 1)/3
Factor 40*h**5 + 2 - 2 + 4*h**2 + 10*h**3 + 8*h**4 - 38*h**5.
2*h**2*(h + 1)**2*(h + 2)
What is m in -4 + 2/5*m**2 + 18/5*m = 0?
-10, 1
Let p be (3395/20)/7 - 1. Let q = -23 + p. Let q*y - 1/4*y**2 - 1/4*y**3 + 1/4*y**4 + 0 = 0. What is y?
-1, 0, 1
Let p = -35 + 35. Let z be 1/6*(-9)/(-2). Find j such that -z*j**4 + 1/4*j**2 + p - 1/2*j + j**3 = 0.
-2/3, 0, 1
Suppose u - 4*u + 6 = 0. Factor -4*s**2 - 4*s + 2*s**u + 2*s + 0*s**2.
-2*s*(s + 1)
Factor 0*k**3 + 0 + 2/5*k**4 + 1/5*k - 1/5*k**5 - 2/5*k**2.
-k*(k - 1)**3*(k + 1)/5
Let f(u) = 35*u**4 - 55*u**3 - 35*u**2 + 35*u + 20. Let p(i) = -5*i**4 + 8*i**3 + 5*i**2 - 5*i - 3. Let m(o) = 3*f(o) + 20*p(o). Factor m(v).
5*v*(v - 1)**2*(v + 1)
Let k(v) = 2*v + 44. Let c be k(-22). Determine j so that -3/2*j + 0 + c*j**2 + 3/2*j**3 = 0.
-1, 0, 1
Let j(f) be the first derivative of f**6/840 - f**4/168 + 7*f**2/2 - 7. Let c(p) be the second derivative of j(p). What is w in c(w) = 0?
-1, 0, 1
Let j(w) = -4*w**4 + 31*w**3 - 292*w**2 - 3. Let y(n) = 7*n**4 - 63*n**3 + 583*n**2 + 5. Let a(f) = 10*j(f) + 6*y(f). Find u, given that a(u) = 0.
0, 17
Let c(f) be the second derivative of 1/6*f**4 + 3*f + 3/10*f**5 + 0 + 1/21*f**7 + 0*f**3 + 0*f**2 + 1/5*f**6. Solve c(y) = 0.
-1, 0
Let i(n) = -8*n**3 + 20*n**2 - 10*n - 38. Let r(w) = 9*w**3 - 21*w**2 + 9*w + 39. Let q(m) = -7*i(m) - 6*r(m). Factor q(v).
2*(v - 4)**2*(v + 1)
Let r(j) be the second derivative of -j**3 - 1/20*j**6 + 4*j + 0 - 3/4*j**2 - 3/10*j**5 - 3/4*j**4. Factor r(n).
-3*(n + 1)**4/2
Suppose -2*u = -4*g + 32, 38 = -g + 6*g - 3*u. Suppose 4*t + t - g = 0. Factor -2/7*x**t - 2/7*x**3 + 0 + 0*x + 2/7*x**4 + 2/7*x**5.
2*x**2*(x - 1)*(x + 1)**2/7
Let z(l) be the first derivative of 2*l**6/15 + 3*l**5/5 + 2*l**4/3 - l - 7. Let h(x) be the first derivative of z(x). Find 