11/(-110))/((-1)/f). Determine m, given that -a*m + 0 + 1/5*m**2 = 0.
0, 1
Let u(v) be the second derivative of -v**6/30 + v**4/12 - 6*v. Let t(l) = 6*l**4 - 3*l**3 - 3*l**2. Let a(c) = -t(c) - 5*u(c). Let a(i) = 0. Calculate i.
0, 1, 2
Let u(g) be the second derivative of 1/4*g**4 - g**3 - 2*g + 3/2*g**2 + 0. Factor u(y).
3*(y - 1)**2
Solve 3/7 + 12/7*h**4 - 15/7*h**2 - 9/7*h**3 + 9/7*h = 0 for h.
-1, -1/4, 1
Let x(c) = -c**3 - c**2 - c - 1. Let j(l) = 8*l**3 + 6*l**2 - 2*l + 6. Let f(y) = -j(y) - 6*x(y). Factor f(a).
-2*a*(a - 2)*(a + 2)
Let n = -366/7 - -7169/126. Let d = n + -28/9. Find t such that -3/2*t**2 - 1/2 + d*t + 1/2*t**3 = 0.
1
Let d(z) be the third derivative of z**5/12 - 5*z**4/6 + 5*z**3/2 + z**2. Factor d(c).
5*(c - 3)*(c - 1)
Let -25/4 + 15/4*l + 1/4*l**3 + 9/4*l**2 = 0. Calculate l.
-5, 1
Let 0 - 1/3*d + d**4 + 5/3*d**2 - 7/3*d**3 = 0. Calculate d.
0, 1/3, 1
Let q(n) = 9*n**5 - 27*n**4 + 51*n**3 - 75*n**2 + 54*n - 18. Let b(x) = -x**5 + x**4 + x**3 - x + 1. Let s(t) = 6*b(t) + q(t). Factor s(j).
3*(j - 2)**2*(j - 1)**3
Suppose 0 = z + 1 - 3. Factor 3*r**2 + 4*r - z*r**2 + r**2.
2*r*(r + 2)
Suppose -2/7*a**2 - 8/7*a + 0 = 0. What is a?
-4, 0
Let k(b) be the first derivative of -b**6/4 + 3*b**5/10 + 3*b**4/8 - b**3/2 - 5. Factor k(i).
-3*i**2*(i - 1)**2*(i + 1)/2
Factor 3/2*r + 1/2 + 5/2*r**3 - 9/2*r**2.
(r - 1)**2*(5*r + 1)/2
Let l(c) be the second derivative of -c**7/2940 - c**6/420 - c**5/210 - c**3/6 + 2*c. Let v(o) be the second derivative of l(o). Factor v(a).
-2*a*(a + 1)*(a + 2)/7
Let y(h) be the first derivative of h**3/30 + h**2/10 + 3. Factor y(l).
l*(l + 2)/10
Let g(k) be the third derivative of k**6/40 - k**5/20 - 18*k**2. Let g(f) = 0. Calculate f.
0, 1
Let k(h) = h**2 + 3*h - 1. Let t be k(-3). Let a be 4*10/(-8)*t. Factor 2*s**a + 2*s**5 - 2*s**5 - 2*s**4.
2*s**4*(s - 1)
Let a(u) be the third derivative of u**6/240 + 3*u**2 - 1. Determine g, given that a(g) = 0.
0
Let b = -9 - -13. Suppose -b*i - s = 3*s - 12, 3*s = 5*i - 7. Solve -5*k**2 + 3*k**2 + i*k**4 - k - k**5 + 2*k**5 = 0 for k.
-1, 0, 1
Suppose 0 = -2*z + 16 + 6. Let c = z - 8. Suppose -2*f**2 + c + 5 - 2*f - 8 = 0. What is f?
-1, 0
Let -4*o + 12*o**2 - 12*o**4 + 10*o**5 - 14*o**5 + 8*o**5 + 4*o**5 - 4*o**3 = 0. Calculate o.
-1, 0, 1/2, 1
Let t be (-8)/12 - (-424)/1278. Let i = -8/71 - t. Suppose 2/3*u**2 + 10/9*u - 2/9*u**4 + 4/9 - i*u**3 = 0. Calculate u.
-1, 2
Let i(y) be the third derivative of -y**8/504 - 4*y**7/315 - y**6/36 - y**5/45 - 2*y**2 - 13. Factor i(l).
-2*l**2*(l + 1)**2*(l + 2)/3
Let k(w) = 5*w**5 + 12*w**4 - 17*w**3 + 2*w**2 + 2. Let h(l) = -6*l**5 - 12*l**4 + 18*l**3 - 3*l**2 - 3. Let a(y) = -2*h(y) - 3*k(y). Solve a(n) = 0.
-5, 0, 1
Let n = 43037/51393 - 29/463. Let s = -4/37 + n. Solve -s + f**2 - 1/3*f = 0.
-2/3, 1
Let k be (22/(-8))/(2/(-8)). Suppose 4*b - k = 1. Solve 0*t - 2/3*t**b + 2/3*t**2 + 0 = 0 for t.
0, 1
Let j = 5/33 - -107/165. Let f(o) be the first derivative of 1 + 1/5*o**2 + j*o - 2/15*o**3. Factor f(u).
-2*(u - 2)*(u + 1)/5
Suppose -11*f + 8 = 2*a - 6*f, 0 = -f. Let g(c) be the second derivative of 3/4*c**a - 2*c + 0*c**5 + 0 - c**3 - 1/10*c**6 + 0*c**2. Factor g(z).
-3*z*(z - 1)**2*(z + 2)
Let j = 399 + -399. Find t such that -1/5*t**2 + 2/5*t + j = 0.
0, 2
Let b(k) be the first derivative of k**8/2016 - k**6/360 + k**4/144 - 5*k**2/2 + 3. Let s(x) be the second derivative of b(x). Solve s(u) = 0 for u.
-1, 0, 1
Let i(v) = -24*v**3 - 437*v**2 - 2167*v - 979. Let m(a) = 8*a**3 + 146*a**2 + 722*a + 326. Let p(r) = 2*i(r) + 7*m(r). Solve p(o) = 0.
-9, -1/2
Let m(p) = 10*p**4 + 9*p**3 + 3*p**2 - 5*p + 3. Let g(u) = -8 - 7*u + 12 + 8*u**3 + u + 11*u**4 + 3*u**2. Let k(n) = -3*g(n) + 4*m(n). Factor k(v).
v*(v + 1)**2*(7*v - 2)
Suppose 0 = 4*f + 12, 4*a = 6*a - f - 7. Let d(r) be the second derivative of 1/48*r**4 + 1/8*r**a + 3*r - 1/12*r**3 + 0. Let d(y) = 0. What is y?
1
Let v(y) = -35*y**2 - 120*y - 125. Let q(g) = 5*g**2 + 17*g + 18. Let d(s) = 20*q(s) + 3*v(s). Factor d(j).
-5*(j + 1)*(j + 3)
Let o(t) be the first derivative of t**4/8 + t**3/4 + 4*t - 1. Let p(w) be the first derivative of o(w). Factor p(c).
3*c*(c + 1)/2
Let g be 6/42*4/(36/21). Let v be (-1 - 21/(-18))*1. Determine t so that -1/6 - g*t - v*t**2 = 0.
-1
Let q(i) be the second derivative of i**9/16632 - i**7/4620 + i**3 - i. Let t(d) be the second derivative of q(d). Factor t(g).
2*g**3*(g - 1)*(g + 1)/11
Let 0*b**4 + 0 + 0*b**2 - 4/7*b**3 + 2/7*b**5 + 2/7*b = 0. What is b?
-1, 0, 1
Let v(c) be the third derivative of c**6/120 + 2*c**5/15 + c**3/2 - c**2. Let k be v(-8). Factor -3*w**4 + w**k + 2*w + 3*w**2 - 4*w + w.
-w*(w - 1)*(w + 1)*(3*w - 1)
Let z be ((-42)/(-8))/(3/(-40)). Let f be (-8)/z - (-4)/14. Determine o, given that 0 - 2/5*o**3 + 0*o - f*o**2 = 0.
-1, 0
Let b(q) be the second derivative of -1/165*q**6 + 0*q**3 + 0 - 2*q + 1/33*q**4 + 0*q**2 - 1/110*q**5. Suppose b(h) = 0. What is h?
-2, 0, 1
Let g be (-18)/3 - -11 - 1*2. Find t such that 1/2*t**5 + 1/2*t + g*t**3 + 0 - 2*t**4 - 2*t**2 = 0.
0, 1
Let n = -496/3 - -168. Let h = 184/747 + -2/83. Solve -4/3*p**2 + n*p + h*p**3 - 16/9 = 0 for p.
2
Let t(m) be the second derivative of -5*m**7/21 - 22*m**6/15 - 14*m**5/5 - 4*m**4/3 - 11*m. Determine g, given that t(g) = 0.
-2, -2/5, 0
Suppose -b + 4*m - 15 = 0, b + 2 = 5*m - 17. What is q in -b + q**2 - 3*q**2 + 3 = 0?
-1, 1
Suppose -3*y + 50 = 2*x, 20 = -2*y + 3*y - x. Suppose -4*h + y - 6 = 0. Factor 2/7*b**5 + 8/7*b**2 + 12/7*b**h + 2/7*b + 0 + 8/7*b**4.
2*b*(b + 1)**4/7
Let o = 299 + -299. Factor 1/2*j**5 + 0 + 0*j**2 + 1/4*j**4 + o*j - 1/4*j**3.
j**3*(j + 1)*(2*j - 1)/4
Let j(n) be the first derivative of -2*n**2 - 4 + 0*n - 4/3*n**3. Factor j(h).
-4*h*(h + 1)
Solve -1/2*c**2 + 3/8*c**4 + 9/8*c**5 + 0*c + 0 - c**3 = 0.
-2/3, 0, 1
Factor 7*c + 4 - 9*c**4 + 9*c**2 + c**3 - 7*c**4 + 4*c + 15*c**4.
-(c - 4)*(c + 1)**3
Let w(t) = t**3 - 5*t**2 - 15*t + 17. Let p be w(7). Find i such that -8/5 - p*i**2 - 8*i = 0.
-2/5
Let m(l) = -l**3 + 5*l**2 - 2*l - 10. Let u be m(3). Factor 1/2*q**u - 1 - 1/2*q.
(q - 2)*(q + 1)/2
Suppose m + 6 = 4*x, 0*x - 6 = -3*x. Let d be 1/((-1)/(-4))*1. Factor -2*u**3 + 0*u**2 - 2*u**m + u**4 + 2*u**5 + u**d.
2*u**2*(u - 1)*(u + 1)**2
Let j(g) be the second derivative of -g**7/63 - 4*g**6/45 + g**5/15 + 2*g**4/3 - g**3 - 30*g. Factor j(y).
-2*y*(y - 1)**2*(y + 3)**2/3
Let l = 5 - 3. Let 6*d - 4/3 - 14/3*d**l = 0. Calculate d.
2/7, 1
Let y(w) be the first derivative of -w**5/120 - w**4/48 + w**3/6 + w**2/2 + 2. Let l(n) be the second derivative of y(n). Factor l(b).
-(b - 1)*(b + 2)/2
Determine t so that 3/2*t**2 + 3*t + 3/2 = 0.
-1
Let z(q) be the second derivative of -q**7/21 + 2*q**6/3 + 23*q**5/10 + 2*q**4 + 20*q. Factor z(h).
-2*h**2*(h - 12)*(h + 1)**2
Let u(h) be the first derivative of -h**4/28 - 2*h**3/21 + h**2/2 - 4*h/7 + 22. Factor u(f).
-(f - 1)**2*(f + 4)/7
Let w(q) be the first derivative of 1/2*q - 1/10*q**5 + 4 + 0*q**3 + 1/4*q**4 - 1/2*q**2. Factor w(j).
-(j - 1)**3*(j + 1)/2
Let s(v) be the third derivative of 5*v**5/6 - 5*v**4/3 + 4*v**3/3 - 39*v**2. Factor s(l).
2*(5*l - 2)**2
Suppose 9*y + 2*k = 4*y + 21, k = -4*y + 15. Factor 0*x + 2/3*x**4 + 0*x**y - 4/3*x**2 + 2/3.
2*(x - 1)**2*(x + 1)**2/3
Let n be (-3 + 1)*(-6)/4. Let z(m) be the third derivative of m**2 + 0 + 11/12*m**4 + 3/10*m**5 + 2/3*m**n + 0*m. Find a, given that z(a) = 0.
-1, -2/9
Suppose 38*a**2 + 12*a + 4*a**4 - a**4 + 18*a**3 - 11*a**2 = 0. Calculate a.
-4, -1, 0
Factor -o**3 + 4*o**3 - 7*o**3 + 3*o**3 - 2*o**2.
-o**2*(o + 2)
Let f = -80 + 82. Determine x so that -2/9*x + 2/9*x**f + 0 = 0.
0, 1
Suppose -4*r - 1 = -i, 3 = 29*r - 26*r + 3*i. Factor 4/15*n**3 + r + 2/5*n**4 + 0*n + 0*n**2 + 2/15*n**5.
2*n**3*(n + 1)*(n + 2)/15
Let j(b) = 6*b**2 - 39*b + 111. Let d(r) = 13*r**2 - 79*r + 223. Let i(c) = -3*d(c) + 7*j(c). Factor i(t).
3*(t - 6)**2
Let w(a) be the first derivative of 0*a + 0*a**3 + 0*a**5 + 2 + 1/96*a**4 - 1/480*a**6 + 1/2*a**2. Let p(j) be the second derivative of w(j). Factor p(l).
-l*(l - 1)*(l + 1)/4
What is u in 14/3*u - 4 + 0*u**2 - 2/3*u**3 = 0?
-3, 1, 2
Let j be (2 + -2)/(8 - 7). Let y(h) be the second derivative of 1/30*h**5 + 1/6*h**2 + j - 1/9*h**3 + h + 0*h**4 - 1/90*h**6. Determine s, given that y(s) = 0.