e third derivative of 2/21*i**3 - 1/84*i**6 + i**2 + 0*i - 1/105*i**5 + a*i**4 + 0. Let q(v) = 0. Calculate v.
-1, -2/5, 1
Let z(n) = -8*n**2 - 36*n - 68. Let b(q) = 7*q**2 + 35*q + 67. Let m(s) = -4*b(s) - 3*z(s). Find l, given that m(l) = 0.
-4
Let x(u) = u**3 - u**2 - 6*u + 3. Let g be x(3). Suppose g*h - h = 0. Solve -1/3*v**5 + h + 0*v**4 + 0*v**2 + 2/3*v**3 - 1/3*v = 0.
-1, 0, 1
Find l, given that -4 - 4 + l**2 + l**3 - l + 7 = 0.
-1, 1
Let q = -1 - -3. Let o be (q + -2)/(2 - 0). Determine s so that 0*s + s**2 + 2*s + o + 1 = 0.
-1
Let c(r) be the first derivative of -3*r - 7/20*r**5 - 3/4*r**4 + 0*r**2 - 1/3*r**3 - 3. Let k(x) be the first derivative of c(x). Find f such that k(f) = 0.
-1, -2/7, 0
Let g(v) be the third derivative of v**11/665280 - v**9/120960 - v**5/15 + 4*v**2. Let x(y) be the third derivative of g(y). Suppose x(l) = 0. What is l?
-1, 0, 1
Determine a so that 6*a**2 - 2*a**2 + 60 - 24*a - 103 + 75 = 0.
2, 4
Let u(o) = -o + 2. Let p = 9 - 12. Let r be u(p). Suppose -3*z**r + 3*z**2 - 2*z**2 - 4*z**4 + 2*z**2 + 3*z**3 + z**4 = 0. What is z?
-1, 0, 1
Determine s, given that -387*s**2 + 198*s**2 + 193*s**2 - 40*s + 36 = 0.
1, 9
Let q(f) = 3*f**2 + 4*f + 2. Let p be q(-4). Let x be 3 + (p/7)/(-2). Factor -x*w + 0 - 10/7*w**2.
-2*w*(5*w + 2)/7
Let i(n) = n - n - n + 0. Let f be i(-3). Determine a, given that -2/9*a**4 + 0*a**2 + 0 - 2/9*a**f + 0*a = 0.
-1, 0
Let y be (-7)/(-6) + 1/(-6). Let c = 6 + -4. Determine o, given that -y + 4*o**2 - c*o**4 + 0 - 1 = 0.
-1, 1
Let t(f) be the first derivative of -1 - 3/10*f**2 + 6/5*f - 1/5*f**3. Factor t(k).
-3*(k - 1)*(k + 2)/5
Let z be (2 - -2) + -1 + 0. Solve -4*q**2 + 15*q**z + 13*q**3 + 18*q**4 - 8*q + q**3 + 2 - 5*q**3 = 0.
-1, 1/3
Let j = 3/31 - -25/62. Let k(h) be the first derivative of 2 - 1/3*h**3 + 1/4*h**4 - j*h**2 + h. Factor k(o).
(o - 1)**2*(o + 1)
Let w(x) = -x**2 + 2*x + 4. Let n(o) = 2 + 0 - 3. Suppose h = 4*h - 15. Let p(i) = h*n(i) + w(i). Determine q, given that p(q) = 0.
1
Factor -2*n**2 - 2*n**4 + 0*n**4 - 34*n - 4*n**3 + 34*n.
-2*n**2*(n + 1)**2
Let l = -2 - -12. Suppose 5*u = l - 0. Factor x + x**4 - 2/3*x**u - 1/3*x**5 - 1/3 - 2/3*x**3.
-(x - 1)**4*(x + 1)/3
Let l(s) be the third derivative of s**5/330 + s**4/132 - 2*s**3/33 - 29*s**2. Suppose l(h) = 0. Calculate h.
-2, 1
Let r(i) be the first derivative of i**4/4 + 5*i**3/3 + 4*i**2 + 4*i + 2. Let c(j) = -j**3 - 5*j**2 - 8*j - 4. Let y(u) = 4*c(u) + 3*r(u). Factor y(z).
-(z + 1)*(z + 2)**2
Let b(w) be the third derivative of 0*w**4 + 0*w - 1/210*w**7 + 1/112*w**8 - 5*w**2 + 1/60*w**5 - 1/40*w**6 + 0 + 0*w**3. Factor b(v).
v**2*(v - 1)*(v + 1)*(3*v - 1)
Let i(u) be the first derivative of u**5/60 + 2*u**2 - 1. Let k(h) be the second derivative of i(h). Suppose k(m) = 0. What is m?
0
Let d(w) be the second derivative of 0*w**6 + 0 + 1/2*w**3 + 2*w + 1/14*w**7 + 0*w**2 - 3/10*w**5 + 0*w**4. What is p in d(p) = 0?
-1, 0, 1
Factor 3*b - 2*b**5 + 18*b**2 + 30*b**4 + 35*b**3 + 11*b**5 + 25*b**3 - 24*b**3.
3*b*(b + 1)**3*(3*b + 1)
Suppose 0 = 5*q - 5 - 5. Find z such that -3/5 + 6/5*z - 3/5*z**q = 0.
1
Suppose 9*b - 5*b = 28. Factor 3*c + 3*c + b*c**2 - 4*c**2.
3*c*(c + 2)
Let l(x) be the second derivative of x**7/1260 - x**6/108 + 2*x**5/45 - x**4/9 + x**3/6 + 3*x. Let m(d) be the second derivative of l(d). Solve m(a) = 0.
1, 2
Let x(h) be the second derivative of -h**6/900 - h**5/100 - h**4/30 - 2*h**3/3 + 2*h. Let k(t) be the second derivative of x(t). Factor k(z).
-2*(z + 1)*(z + 2)/5
Let b(g) be the third derivative of 1/10*g**5 + 0*g**3 + 0*g - 5*g**2 - 1/12*g**4 - 1/20*g**6 + 0 + 1/105*g**7. Factor b(o).
2*o*(o - 1)**3
Suppose -3*b + 7*b = 0. Suppose -2*c - 3*c + 5 = b. Factor -u**3 + c - 2 + 1 - u**4.
-u**3*(u + 1)
Suppose 0 = -3*t - o + 19, 8 = t + 3*o - 1. Find q, given that 3*q + 3*q**2 + 4 + t*q + 2 + 0*q = 0.
-2, -1
Let c = 11 - 7. Factor -u**c - 2*u**3 + 0*u**4 - 2*u**3 + 3*u**5 + u**2 + u**5.
u**2*(u - 1)*(u + 1)*(4*u - 1)
Let a(j) = -j**4 + j**3 - j - 1. Let n(b) = 7*b**4 - 5*b**3 - 3*b**2 + b + 4. Let o(m) = -6*a(m) - n(m). Factor o(v).
-(v - 2)*(v + 1)**3
Factor -9*h**2 - 4*h**2 - 4*h**2 + 16*h**2.
-h**2
Let r be (1 - 4/8)*1. Let b(q) be the first derivative of 1/12*q**3 + q - 2 + r*q**2. Factor b(z).
(z + 2)**2/4
Let d(y) be the first derivative of 2/3*y**3 + 2 - 2*y + 0*y**2. Suppose d(g) = 0. What is g?
-1, 1
Determine v so that 4/5*v**4 - 6*v**3 - 8/5*v + 0 + 2*v**5 - 32/5*v**2 = 0.
-1, -2/5, 0, 2
Let v(n) be the first derivative of 2*n**6/3 + 16*n**5/5 + 4*n**4 - 8*n**3/3 - 10*n**2 - 8*n + 1. Solve v(d) = 0.
-2, -1, 1
Let 3*n**3 + 5*n**2 + 6 + 4*n**2 - 3 + 3*n + 6*n = 0. What is n?
-1
Let j be -4 + (0 + 3 - 2). Let w be 1/(-4)*(j + -9). Suppose -1/2*i**w + 0 + 1/2*i + 0*i**2 = 0. Calculate i.
-1, 0, 1
Let y(s) be the first derivative of -3*s**5/25 + 3*s**4/10 + 3*s**3/5 - 12*s**2/5 + 12*s/5 - 12. Suppose y(l) = 0. Calculate l.
-2, 1, 2
Let d = 3/43 + 375/172. Factor -l**3 - d*l + 3*l**2 + 1/2.
-(l - 2)*(2*l - 1)**2/4
Determine y, given that y**5 + 2*y**2 - 187*y**3 - 6*y - 9*y**4 + 190*y**3 + 2*y**5 + 7*y**2 = 0.
-1, 0, 1, 2
Let i(d) be the second derivative of d**6/30 - 3*d**5/10 + 3*d**4/4 - 5*d. Factor i(x).
x**2*(x - 3)**2
Let g(u) be the third derivative of -u**8/2016 - u**7/315 - u**6/120 - u**5/90 - u**4/144 + 6*u**2. Factor g(q).
-q*(q + 1)**4/6
Factor -2/3*v**2 + v + 2/3 - 4/3*v**3 + 1/3*v**5 + 0*v**4.
(v - 2)*(v - 1)*(v + 1)**3/3
Let s(d) be the first derivative of -d**6/18 + d**4/6 - d**2/6 - 11. Let s(j) = 0. Calculate j.
-1, 0, 1
Let u = -380243/42 - -9054. Let w(m) be the second derivative of m - 2/7*m**5 + 1/7*m**2 + 64/147*m**7 + u*m**4 + 0 - 16/21*m**6 + 10/21*m**3. Factor w(x).
2*(x - 1)**2*(4*x + 1)**3/7
Let n(i) be the first derivative of -4*i**3/9 - 5*i**2/6 - i/3 - 7. Factor n(s).
-(s + 1)*(4*s + 1)/3
Let t(f) be the second derivative of 1/40*f**5 + 0 + 1/4*f**2 - 1/24*f**4 - 3*f - 1/12*f**3. Find d such that t(d) = 0.
-1, 1
Let p(z) be the third derivative of 0*z + 1/60*z**5 - 3*z**2 + 0 + 1/3*z**3 + 1/8*z**4. Let p(x) = 0. What is x?
-2, -1
Let h be (-3 + 2)/(-2 - -1). Factor 2 + 2*n**3 + 4*n**3 - 3*n**4 - 4*n - 2*n + h.
-3*(n - 1)**3*(n + 1)
Let c(x) = -x - 14. Let a be c(12). Let k be (-2600)/(-1521) - (-4)/a. Solve 8/9*h**3 + 2/3*h - 28/9*h**2 + 8/3*h**4 + 4/9 - k*h**5 = 0 for h.
-1, -2/7, 1
Factor -1/8*n**4 + 0 - 11/8*n**2 - 3/4*n**3 - 3/4*n.
-n*(n + 1)*(n + 2)*(n + 3)/8
Suppose 3*r - 10 = -1. Let o be ((-2)/r)/(8/(-36)). Find w such that -8/5*w**4 - 14/5*w + 4/5*w**2 + 22/5*w**o + 4/5 - 8/5*w**5 = 0.
-2, -1, 1/2, 1
Let v(h) = h**2 + 8*h + 3. Let j(i) = -15*i - 5. Let f(z) = -3*j(z) - 5*v(z). Determine u, given that f(u) = 0.
0, 1
Factor 60*y**2 + 4*y - 10 - 80*y**2 + 41*y.
-5*(y - 2)*(4*y - 1)
Let y = 10654 + -53103/5. Let g = y - 33. Determine z, given that -12/5*z**2 - g - 8/5*z - 2/5*z**4 - 8/5*z**3 = 0.
-1
Let r(k) = -10*k**3 + 230*k**2 - 495*k + 340. Let m(y) = y**3 - 21*y**2 + 45*y - 31. Let i(f) = 65*m(f) + 6*r(f). Suppose i(s) = 0. What is s?
-5, 1
Find m, given that 9*m**2 + m**4 - 11*m**2 - 9*m**4 + 0*m**3 + 10*m**3 = 0.
0, 1/4, 1
Let n(v) be the third derivative of -v**5/270 - v**4/108 + 2*v**3/27 + v**2. Factor n(z).
-2*(z - 1)*(z + 2)/9
Suppose -2 - 7 = -3*x. Suppose -2/9*a**4 - 4/9 - 2*a**2 + 14/9*a + 10/9*a**x = 0. Calculate a.
1, 2
Let l(u) = -8*u**3 - 20*u**2 - 36*u - 20. Let j(a) = 9*a**3 + 19*a**2 + 36*a + 21. Let x(h) = 4*j(h) + 5*l(h). Let x(v) = 0. Calculate v.
-4, -1
Let u be (10/4)/(5/10). Let p be ((u - 3) + -6)/(-18). Solve 4/9 - 2/9*y**2 - p*y = 0.
-2, 1
Factor -17*q + 7*q**2 - 2*q**2 + 27 - 2*q**2 - q.
3*(q - 3)**2
Suppose -5*k - a + 67 + 142 = 0, 5*k - 213 = 3*a. Let g be (-46)/(-42) + (-18)/k. Factor 0*b - g*b**2 + 2*b**3 - 2*b**4 + 0 + 2/3*b**5.
2*b**2*(b - 1)**3/3
Let p be 4/(12/57) + 2. Let l = p + -21. Factor 2/3*c + 1/3*c**2 + l.
c*(c + 2)/3
Let w(f) be the first derivative of -4*f**5/5 - 5*f**4 - 12*f**3 - 14*f**2 - 8*f + 4. Factor w(p).
-4*(p + 1)**3*(p + 2)
Let r(j) = -j**3 - 6*j**2 - 7*j + 2. Let w be r(-6). Let d = w + -131/3. Factor -2/3*p**3 + 0 + 0*p - 1/3*p**2 - d*p**4.
-p**2*(p + 1)**2/3
Let r = 218/5 + -43. What is n in 0 + 21/5*n**4 + r*n**2 + 0*n - 9/5*n**5 - 3*n**3 = 0?
0, 1/3, 1
Let p(r) = -r**3 - r**2 - r. Let