 w(g) be the second derivative of g**8/4200 - g**7/1050 - g**6/900 + g**5/150 + g**3/2 - 3*g. Let d(s) be the second derivative of w(s). Solve d(z) = 0.
-1, 0, 1, 2
Let -4*f**2 + 24*f**4 + 29*f**4 - 4*f**3 + 4*f**5 - 49*f**4 = 0. Calculate f.
-1, 0, 1
Let h(z) = 2*z**2 + 2*z + 1. Let w be h(-1). Let c be (1 + (-9)/21)*w. Find n, given that -6/7*n**2 - c*n**3 + 4/7*n + 0 + 6/7*n**4 = 0.
-1, 0, 2/3, 1
Let o(l) = -10*l**4 - 8*l**3 + 2*l**2 + 6*l + 6. Let g(b) = 9*b**4 + 8*b**3 - b**2 - 5*b - 5. Let t(h) = -6*g(h) - 5*o(h). Suppose t(f) = 0. What is f?
-1, 0
Let d(h) = -h - 4. Let j = 10 - 14. Let l be d(j). Factor 2/9*n + l - 2/9*n**2.
-2*n*(n - 1)/9
Let s(y) = 4*y - 22. Let g be s(6). Let r(v) be the third derivative of 0*v + 0*v**3 + 1/72*v**4 - 7/180*v**5 + 1/24*v**6 - 1/70*v**7 + g*v**2 + 0. Factor r(t).
-t*(t - 1)*(3*t - 1)**2/3
Let b(p) be the third derivative of -p**8/1008 + p**7/315 - p**5/90 + p**4/72 + 4*p**2. Solve b(h) = 0.
-1, 0, 1
Factor -2*v**3 + 5*v**2 + v**2 + 33*v - 39*v + 2.
-2*(v - 1)**3
Let p(r) be the first derivative of 6 - 1/3*r**3 - 3*r**2 - 9*r. What is l in p(l) = 0?
-3
Let n = 224/1089 + 2/121. Solve -n*a**2 + 0*a + 0 = 0 for a.
0
Let m(f) be the second derivative of -f**6/480 + f**4/96 + f**2/2 - 3*f. Let n(s) be the first derivative of m(s). Factor n(g).
-g*(g - 1)*(g + 1)/4
Let u(h) = -16*h - 3. Let s be u(-2). Let r be 8*(3 + s/(-10)). Factor 4/5*q + 2/5 - r*q**3 - 2/5*q**2.
-2*(q - 1)*(q + 1)*(2*q + 1)/5
Let g(x) be the second derivative of 15*x**4/4 + x**3 + 3*x. Factor g(p).
3*p*(15*p + 2)
Let n(v) be the second derivative of 3*v**5/20 - v**4/4 - 5*v**3/2 - 9*v**2/2 + 34*v + 2. Factor n(s).
3*(s - 3)*(s + 1)**2
Let i(w) be the second derivative of w**7/2520 + w**6/360 + w**5/120 - w**4/12 + 2*w. Let l(d) be the third derivative of i(d). Factor l(x).
(x + 1)**2
Suppose -c = 4*c - 20. Factor 3*g**2 + 7*g + 2*g**2 + c*g**2 - 4*g.
3*g*(3*g + 1)
Let j(v) be the first derivative of -v**6/75 + v**5/50 - 2*v + 4. Let h(a) be the first derivative of j(a). Let h(o) = 0. Calculate o.
0, 1
Let g(c) be the second derivative of -c**7/5040 - c**6/2160 - c**3/6 - 3*c. Let x(q) be the second derivative of g(q). Factor x(n).
-n**2*(n + 1)/6
Let x = -5 - -12. Factor -x + 6 - 2*w**2 + 1.
-2*w**2
Let h(f) be the first derivative of 5/6*f**2 + 4/9*f**3 + 2/3*f + 4 + 1/12*f**4. Let h(x) = 0. Calculate x.
-2, -1
Let a = -8 - -8. Solve -s**2 + a*s - 3*s - s - 1 + 2*s = 0 for s.
-1
Let o(h) be the second derivative of h**5/4 - 35*h**4/12 - 85*h**3/6 - 45*h**2/2 + h + 30. Factor o(a).
5*(a - 9)*(a + 1)**2
Let v be -3 + ((-243)/(-21))/3. What is s in -v*s + 0*s**2 + 4/7 + 2/7*s**3 = 0?
-2, 1
Factor 0*f**4 - 4/9*f**3 + 2/9*f + 0*f**2 + 2/9*f**5 + 0.
2*f*(f - 1)**2*(f + 1)**2/9
Factor -2*l**3 + 83*l**2 - 30*l - 69*l**2 + 30 - 12.
-2*(l - 3)**2*(l - 1)
Let a(x) = x**2 - 4 + x + 5 + 0. Let d(i) = 8*i**2 + 5*i + 5. Let s(y) = -5*a(y) + d(y). Factor s(u).
3*u**2
Let c be (-2)/(-3)*(-45)/(-6). Suppose -4*u + 16 = 5*d - 6*u, 3*d + c*u + 9 = 0. Factor -2*h + 1/2*h**2 + d.
(h - 2)**2/2
Let x(v) be the first derivative of -3/2*v**2 + 1 - 3*v + 3/4*v**4 + v**3. Suppose x(k) = 0. Calculate k.
-1, 1
Let s(j) = 4 - 31*j**2 - j**2 + 24*j + 8. Let x(g) = -4 + 3*g + 4*g + 2*g**2 - 15*g + 9*g**2. Let b(i) = 6*s(i) + 17*x(i). Let b(k) = 0. What is k?
-2/5, 2
Let -5 - 4*z + z**2 + 4 + 4*z = 0. What is z?
-1, 1
Let j(r) be the third derivative of r**7/630 + r**6/90 + r**5/180 - r**4/12 + 3*r**2. Factor j(y).
y*(y - 1)*(y + 2)*(y + 3)/3
Let r = -3 - -12. Let y be (-5)/((-35)/r) - 1. Suppose 0*u + y*u**4 - 2/7*u**2 + 0*u**3 + 0 = 0. What is u?
-1, 0, 1
Suppose 2*g - 11 = 5. Let z(x) = 12*x**2 + 13*x - 6. Let i(j) = 4*j**2 + 4*j - 2. Let q(s) = g*i(s) - 3*z(s). Factor q(n).
-(n + 2)*(4*n - 1)
Suppose -4 = -k - k. Factor -7*x**2 - 4*x - x + 3*x**k - x**3 - 2 + 0*x**2.
-(x + 1)**2*(x + 2)
Let q(x) be the first derivative of x**6/6 + 2*x**5/5 - 2*x**3/3 - x**2/2 + 22. Suppose q(n) = 0. Calculate n.
-1, 0, 1
Let z(b) = -b**3 - b**2 - b. Let c = -8 - -8. Let i be z(c). Find y such that 0*y - 2/7*y**2 + i = 0.
0
Let r = 3 + -1. Let m = -4 - -6. Let -3*c**3 - c**m + 4*c**5 - 3*c**5 + c**4 + r*c**3 = 0. What is c?
-1, 0, 1
Suppose 4*p - p = -3*b, 2*b = 2*p + 16. Let u = 9 - b. Find h, given that h**3 + 3*h - h**2 + 2*h**3 + 0*h - u*h**2 = 0.
0, 1
Let x(u) be the second derivative of u**4/30 + 8*u**3/3 + 80*u**2 + 2*u - 3. Factor x(g).
2*(g + 20)**2/5
Factor -4/7*q - 10/7*q**2 + 0 + 32/7*q**3 - 18/7*q**4.
-2*q*(q - 1)**2*(9*q + 2)/7
Let d(f) be the first derivative of -2*f**5/55 - 3*f**4/22 + 4*f**2/11 + 11. Factor d(y).
-2*y*(y - 1)*(y + 2)**2/11
Suppose -47 = f - 4*s - 45, 4*s = 4. Factor 2/9*g + 0 - 2/9*g**f.
-2*g*(g - 1)/9
Let a be (1/(-5))/((-2)/6). Suppose -5*k + 51 = 3*i + 22, 3*i + 2*k - 17 = 0. Determine z so that -18/5*z + 18/5*z**i + 3*z**4 - 12/5*z**2 - a = 0.
-1, -1/5, 1
Suppose 5*g - 18 = 3*g. Suppose 5*m = 2*m + g. Factor -v**4 + 2*v**2 - v**m - 5*v**4 + 5*v**4.
-v**2*(v - 1)*(v + 2)
Let w = -23 + -12. Let u be (20/w)/(2/(-3)). Determine n, given that -54/7*n**3 - 20/7*n**2 - u*n**5 + 24/7*n - 32/7*n**4 + 16/7 = 0.
-2, -1, 2/3
Suppose -l + 3 + 2 = 0. Find w such that -l*w + 15*w**4 - 8*w - 2 + 2*w + 11*w**3 - 13*w**2 = 0.
-1, -2/5, -1/3, 1
Let j(p) be the first derivative of p**3/3 - p**2/2 + 1. Suppose j(r) = 0. What is r?
0, 1
Let c = -36 + 36. Let a(d) be the second derivative of -1/60*d**5 + 0 + 0*d**4 + 1/18*d**3 - 3*d + c*d**2. Let a(w) = 0. Calculate w.
-1, 0, 1
What is p in -p**2 - 2*p**2 - p**2 - 32*p + 0*p = 0?
-8, 0
Let p(c) = -c**2 + 10*c + 2. Let d be p(10). Solve -8/5 - 2/5*s**d - 8/5*s = 0.
-2
Suppose 2*v = -3*n - 2*v - 2, -2*n - v - 8 = 0. Let p be (2/(-6))/(1/n). Factor 0 - 3*q + 0*q + q**p + 2.
(q - 2)*(q - 1)
Let d(b) be the third derivative of 0*b - 1/180*b**6 - 3*b**2 + 1/45*b**5 - 1/36*b**4 + 0 + 0*b**3. Factor d(x).
-2*x*(x - 1)**2/3
Let r = -45 - -69. Determine z so that 116*z**4 + 8 + 31*z - 36*z**4 - r*z**2 - 108*z**3 + 8*z**2 + 5*z = 0.
-2/5, -1/4, 1
Let v(x) = x**2 - x + 18. Let k be v(0). Find u such that 5 - 2*u**2 - u**2 - k*u - 5 - 27 = 0.
-3
Let l = -1/470 - -4709/4230. Factor 14/3*t**2 + l*t**4 + 4/9 + 34/9*t**3 + 22/9*t.
2*(t + 1)**3*(5*t + 2)/9
Let w(s) be the second derivative of 0*s**2 + 1/9*s**3 - 2*s - 1/18*s**4 + 0. Factor w(h).
-2*h*(h - 1)/3
Let c(x) be the first derivative of -2 + 1/2*x**2 + 1/2*x**3 - 2*x + 1/6*x**4. Let h(n) be the first derivative of c(n). Factor h(w).
(w + 1)*(2*w + 1)
Suppose 5*i = i + 52. Suppose 2*t = -2*z - t + 3, -3*z = -4*t - i. Factor -r + z*r**4 - r + 3*r**2 + 2*r + 6*r**3.
3*r**2*(r + 1)**2
Let b = 4 + -2. Factor -4*j + 2*j**b - 2*j - 6*j**2 - 2.
-2*(j + 1)*(2*j + 1)
Let d be 6/(-12)*(8/(-18) + 0). Let q(f) = 3*f**2 - f. Let h be q(1). Factor 2/9*p**h + 0 + d*p.
2*p*(p + 1)/9
Let f(u) be the second derivative of -2*u - 1/16*u**5 + 1/6*u**4 - 1/6*u**3 + 1/120*u**6 + 0*u**2 + 0. Suppose f(b) = 0. Calculate b.
0, 1, 2
Let i(a) be the third derivative of a**7/1260 - a**6/360 - a**5/30 + a**4/8 - 4*a**2. Let t(k) be the second derivative of i(k). Factor t(l).
2*(l - 2)*(l + 1)
Factor -11*n**4 + 13*n**4 + 4*n**5 + 3*n**4 + n**5.
5*n**4*(n + 1)
Let y = 2/7 - -8/21. Factor 2/3*g**2 + 0*g - y.
2*(g - 1)*(g + 1)/3
Suppose 10*q = -15 + 45. Factor -2/5*g**q + 0*g + 1/5*g**2 + 1/5*g**4 + 0.
g**2*(g - 1)**2/5
Let v = 2191/1220 + 1/244. Suppose -3/5 + 3/5*i**3 + 9/5*i - v*i**2 = 0. Calculate i.
1
Factor -1/6*u**2 + 1/3*u + 0.
-u*(u - 2)/6
Let v(q) be the second derivative of -1/30*q**6 + 0*q**2 + 4*q - 1/4*q**4 - 3/20*q**5 + 0 - 1/6*q**3. Find x, given that v(x) = 0.
-1, 0
Factor 3/4*j**3 + 21/4*j**2 + 33/4*j + 15/4.
3*(j + 1)**2*(j + 5)/4
Let a(m) = 3*m**3 + 5*m**2 - m + 9. Let x(g) = -g**3 + g**2 + 1. Let z(w) = a(w) + 2*x(w). Let v(b) = b**2 + 1. Let h(o) = 18*v(o) - 2*z(o). Factor h(k).
-2*(k - 2)*(k - 1)*(k + 1)
Let r be ((-2)/(-9) - 0)*21/1. Let y(n) = 2*n - 2. Let s be y(2). Factor -4/3 + 10/3*i + r*i**s.
2*(i + 1)*(7*i - 2)/3
Solve -4*c**2 + c + 3*c - 4 + 4*c = 0.
1
Let w be 1/(2 - (-5)/(-3)). Let y(x) be the first derivative of -3 + 0*x**4 + 0*x + x**2 + 2*x**w - 8/5*x**5. Factor y(g).
-2*g*(g - 1)*(2*g + 1)**2
Let l be 9/6*(-2)/(-3). Let p(a) = -a**4 + a**3 + a - 1. Let r(y) = 9*y**4 -