alculate m.
0, 1
Let g be 84/432*(-1)/(-21). Let u(j) be the third derivative of 0*j + 0 - 1/135*j**5 + 2*j**2 + 1/540*j**6 + g*j**4 + 0*j**3. Factor u(d).
2*d*(d - 1)**2/9
Factor 10/3*r**2 - 6*r - 4/3.
2*(r - 2)*(5*r + 1)/3
Let w(i) be the first derivative of i**4/8 + 5*i**3/6 + 2*i**2 + 2*i + 2. Find s, given that w(s) = 0.
-2, -1
Let s(d) = -d**2 - 1. Let a(v) = -v**3 + 7*v**2 - v + 5. Let q(r) = -3*a(r) - 15*s(r). Solve q(g) = 0.
0, 1
Let j(l) = 5*l - 7 + l + 8*l**2 + 0*l + 3. Let u(x) = x**2. Let m(o) = -j(o) + 10*u(o). Factor m(i).
2*(i - 2)*(i - 1)
Let i(s) = 3*s**3 + s**2 - s. Let d be i(1). Suppose 23 - 23 + 0*v**5 - d*v**5 = 0. What is v?
0
Let y(a) = -a**3 + 4*a**2 + 6*a - 2. Let t be y(5). Let c = t + 0. Factor 2/5 + 0*o**2 + 4/5*o - 2/5*o**4 - 4/5*o**c.
-2*(o - 1)*(o + 1)**3/5
Let j be (-1)/(4/(188/(-3))). Let g = 16 - j. Suppose 2/3 + g*q**2 - q = 0. What is q?
1, 2
Let b(g) = -36*g**5 + 116*g**4 - 548*g**2 + 576*g + 28. Let m(d) = -4*d**5 + 13*d**4 - 61*d**2 + 64*d + 3. Let w(s) = 3*b(s) - 28*m(s). Factor w(t).
4*t*(t - 2)**3*(t + 2)
Let d(r) be the third derivative of 6*r**5/65 - 17*r**4/156 + 2*r**3/39 + 21*r**2. Factor d(f).
2*(4*f - 1)*(9*f - 2)/13
Factor 0 + 4/5*m**5 + 0*m + 4/5*m**2 - 4/5*m**4 - 4/5*m**3.
4*m**2*(m - 1)**2*(m + 1)/5
Let z(k) = -4*k**2 + 14*k + 54. Let a(c) = -3*c**2 + 14*c + 53. Let y(n) = 5*a(n) - 4*z(n). Find i, given that y(i) = 0.
-7
Determine f so that -6*f**2 + 3*f**3 - 15*f + 15*f = 0.
0, 2
Let k be 9*(10/(-6) - -2). Let b = 5 - k. Factor 3*r**b - 1 - 4*r**2 + 2*r**2.
(r - 1)*(r + 1)
Let j(o) = -2*o**3 - 2*o**2 - 8*o + 6. Let b(x) = 2*x**3 + x**2 + 7*x - 5. Let i(k) = 6*b(k) + 5*j(k). Factor i(u).
2*u*(u - 1)**2
Suppose -2*p = -4*p + 4. Let 1 - 17*o + 0*o**3 + 18*o - p*o**2 - 2*o**3 + o**4 + o**5 = 0. What is o?
-1, 1
Let s = 258 - 1782/7. Factor -4/7*v**2 - 36/7 + s*v.
-4*(v - 3)**2/7
Find x such that 3*x**2 + 20*x + 339*x**3 - 94*x**3 + 137*x**2 = 0.
-2/7, 0
Let p = 1 + 1. Suppose 0 = -3*x + 5*t - 6, 3*x - t + 4*t - 18 = 0. Factor 0 + 8/5*v**p - 6/5*v**x - 2/5*v.
-2*v*(v - 1)*(3*v - 1)/5
Let m(n) = n**2 + 14*n - 207. Let g be m(-23). Solve 0 + g*s**2 - 1/3*s**3 - 4/3*s**4 + 0*s - s**5 = 0 for s.
-1, -1/3, 0
Let a = 18 - 12. Let j(f) be the first derivative of 10/9*f**3 - 2/9*f**a - 3/2*f**4 + 0*f + 2 + 14/15*f**5 - 1/3*f**2. What is l in j(l) = 0?
0, 1/2, 1
Let q(i) be the first derivative of -i**5/10 + i**3/2 + i**2/2 - 7. Factor q(s).
-s*(s - 2)*(s + 1)**2/2
Let i(p) be the first derivative of 6/5*p - 3/2*p**2 + 4/5*p**3 - 3/20*p**4 - 4. Solve i(k) = 0 for k.
1, 2
Suppose -7*d + 2*d + 10 = 0. Suppose 0 = 2*j + d*j - 8. Find u, given that u**4 + 8*u**2 - 6*u**j + 2*u**3 - u**2 = 0.
-1, 0
Suppose 0 = -2*v + 7 - 3. Factor -3*x**3 + v*x**4 + 0 - 1/2*x - 1/2*x**5 + 2*x**2.
-x*(x - 1)**4/2
Factor 2*a + a + 4 - 2*a**2 - a.
-2*(a - 2)*(a + 1)
Let g be (-3)/(-9) - 1*(-1)/6. Factor 0 + 0*v**3 + v**2 + 1/2*v**5 - v**4 - g*v.
v*(v - 1)**3*(v + 1)/2
Suppose 7 - 3 = u. Let q be ((-3 - -2) + u)*1. Find k, given that -q*k**2 + 4*k**2 - k**4 - k**3 + 0*k**4 + k = 0.
-1, 0, 1
Let f be 0/(2*-2)*2/4. Let w(j) be the third derivative of 0*j**3 + j**2 + f + 1/840*j**7 + 1/240*j**5 + 1/240*j**6 + 0*j**4 + 0*j. What is g in w(g) = 0?
-1, 0
Factor -m**3 + 0 + 1/2*m**2 - 1/2*m**4 + m.
-m*(m - 1)*(m + 1)*(m + 2)/2
Suppose -4*z + 3*r = -6, z + 0*r - 1 = r. Suppose z*m - 8*m = 0. Factor -1/3*l + 2/3*l**4 + m*l**3 - 2/3*l**2 + 0 + 1/3*l**5.
l*(l - 1)*(l + 1)**3/3
Suppose -s + 2*s = -3*d + 13, 0 = -d - 4*s + 8. Determine n, given that -d*n**3 + 5*n**2 + n**2 + 3*n**4 + 13*n**3 = 0.
-2, -1, 0
Determine n, given that -2/3*n**2 - 2/3*n**3 + 2/3 + 2/3*n = 0.
-1, 1
Let q be (2/160)/(-9*(-3)/18). Let u(t) be the third derivative of q*t**6 + 0*t**5 + 0*t**3 - 1/672*t**8 + 2*t**2 + 0 + 0*t**7 - 1/48*t**4 + 0*t. Factor u(h).
-h*(h - 1)**2*(h + 1)**2/2
Let l(u) be the third derivative of 1/3*u**3 - 1/60*u**5 - 3*u**2 + 0 - 1/24*u**4 + 0*u. Solve l(k) = 0 for k.
-2, 1
Determine w so that -3/2*w**4 - 1 + 9/2*w + 11/2*w**3 - 15/2*w**2 = 0.
2/3, 1
Solve 0*y**2 + 3/2*y**4 + 0 + 0*y - 3*y**3 = 0 for y.
0, 2
Let z(w) be the second derivative of 9*w**5/20 + w**4/4 - w**3 - 6*w. Factor z(l).
3*l*(l + 1)*(3*l - 2)
Suppose -x + 3 = 2*d, 2*x - 5*d + 2 = 8. Let w(p) be the third derivative of 1/24*p**4 + 0*p - p**2 + 1/15*p**x + 1/150*p**5 + 0. Find l such that w(l) = 0.
-2, -1/2
Let x(m) be the second derivative of -5*m**4/24 - 5*m**3/6 - 5*m**2/4 - 4*m. Solve x(u) = 0.
-1
Suppose 2*r - 6 = 4. Let 8 + 10*u + 9*u + u**3 + r*u - 12*u + 6*u**2 = 0. Calculate u.
-2
Let d(i) be the second derivative of i**6/30 - i**5/5 + i**4/2 - 2*i**3/3 + i**2/2 + 5*i. Solve d(y) = 0 for y.
1
Let i(o) be the first derivative of 0*o**5 + 0*o + 7 + 0*o**3 + 1/2*o**6 + 3/2*o**2 - 3/2*o**4. Determine j so that i(j) = 0.
-1, 0, 1
Let p = -13 + 15. Determine f so that -3*f + 0*f**2 + 5*f + 2*f**p - 2*f**3 - 2*f**4 = 0.
-1, 0, 1
Let j = -1/9 - -14/45. Solve -j*r**2 - 1/5*r**5 + 0 + 0*r + 1/5*r**4 + 1/5*r**3 = 0 for r.
-1, 0, 1
Let t be 99/(-22)*2/(-3). Suppose -5 = -4*z + t. What is l in -4/5*l + 0 - 24/5*l**3 - 18/5*l**z - 2*l**4 = 0?
-1, -2/5, 0
Let t(a) be the third derivative of a**7/3360 - a**5/480 + 2*a**3/3 + 3*a**2. Let y(k) be the first derivative of t(k). Let y(w) = 0. What is w?
-1, 0, 1
What is v in -1/5*v**5 - 1/5*v + 0*v**4 + 0*v**2 + 2/5*v**3 + 0 = 0?
-1, 0, 1
Let l(f) be the first derivative of 3*f**5/20 + 3*f**4/16 - f**3/4 - 3*f**2/8 + 15. Solve l(x) = 0 for x.
-1, 0, 1
Let q = 0 + 6. Let t = 0 + q. Let k(i) = 4*i**3 + 21*i**2 + 17*i + 13. Let w(j) = -j**3 - 5*j**2 - 4*j - 3. Let n(v) = t*k(v) + 26*w(v). What is s in n(s) = 0?
-1, 0
Let g(a) be the second derivative of -2*a**7/105 - 2*a**6/75 + 3*a**5/25 + a**4/3 + 4*a**3/15 - 62*a. Factor g(p).
-4*p*(p - 2)*(p + 1)**3/5
Let s(h) = -h**3 + 3*h**2 + 6*h. Let z(o) = -3*o**3 + 6*o**2 + 11*o. Let r = -15 + 8. Let m(d) = r*s(d) + 4*z(d). Solve m(k) = 0.
-2/5, 0, 1
Factor -128/9 - 32/9*j - 2/9*j**2.
-2*(j + 8)**2/9
Let v(r) = 6*r**2 - 3*r + 7. Let m(l) = 7*l**2 - 3*l + 8. Let n(z) = -5*m(z) + 6*v(z). Determine t so that n(t) = 0.
1, 2
Let u be ((-3)/1)/((-5)/(-5)). Let f be (-1)/(u - -2) + 2. Factor -f*a + 4*a - 3*a + 2*a**2 + 2*a**3 - 2.
2*(a - 1)*(a + 1)**2
Let s = -5 + 8. Suppose -x + 5*d + 17 = 3*x, s*x - 3*d = 12. Factor 3*w**4 - 2*w**4 - w**5 + w**x - w**2 + 0*w**2.
-w**2*(w - 1)**2*(w + 1)
Let a = -16 + -4. Let t be (-2)/(-7)*(-35)/a. Factor t*p**4 + 1/2 - 2*p + 3*p**2 - 2*p**3.
(p - 1)**4/2
Let l = 1214/3 + -404. Factor -l*g + 0 + 2/9*g**2.
2*g*(g - 3)/9
Determine s so that 2*s**2 + 2*s**2 - 7*s**2 + 3*s = 0.
0, 1
Let j(o) be the second derivative of o**5/60 - o**4/18 - o**3/6 + 2*o. Factor j(k).
k*(k - 3)*(k + 1)/3
Let y(f) = 6*f + 2. Let z be y(0). Let 4/7 + 4*u**z - 20/7*u - 12/7*u**3 = 0. Calculate u.
1/3, 1
Let y(j) = -2*j**2 - 12*j + 14. Let c be y(-7). Let c + 2/5*k**2 - 2/5*k = 0. Calculate k.
0, 1
Determine i so that -8427 - 4*i - 62*i**4 + 37*i**3 + 8427 + 21*i**5 + 8*i**2 = 0.
-1/3, 0, 2/7, 1, 2
Let x = 15772/1091415 + -14/1131. Let f = 11566/6755 + x. Let -8/7*j - 2/7*j**4 - 8/7*j**3 - 2/7 - f*j**2 = 0. Calculate j.
-1
Suppose -2*k + 5 = 2*r - 3, 0 = 5*r - 5. Suppose -5*h = 4*l - 2, -k*h - 3*l + 0*l = 0. Factor -1/3*x + 0 + 1/3*x**h - 1/3*x**4 + 1/3*x**3.
-x*(x - 1)**2*(x + 1)/3
Suppose 3*n - h = h + 29, 16 = -4*h. Suppose -j - 4 = -n. What is g in 0*g + 1/3*g**2 + 0 - 1/3*g**j = 0?
0, 1
Let b(u) be the second derivative of -8*u**6/45 + 2*u**5/3 + u**4 - 9*u**3 + 18*u**2 - 3*u - 13. Determine q, given that b(q) = 0.
-2, 3/2
Let y(g) be the first derivative of -g**5/5 + 3*g**4/4 - 2*g**3/3 - 11. Determine v, given that y(v) = 0.
0, 1, 2
Let f = -67/45 + 8/5. Let d(t) be the first derivative of 4/45*t**5 - 2/9*t + f*t**2 + 2/9*t**3 - 5/18*t**4 + 2. Suppose d(o) = 0. Calculate o.
-1/2, 1
Suppose 3*m + 4 = -0*m - 5*n, 0 = n + 2. Factor 0*t - 2/5*t**m + 0.
-2*t**2/5
Let h(x) = -69*x**4 + 200*x**3 - 140*x**2 - 71*x + 80. Let z(l) = 17*l**4 - 50*l**3 + 35*l**2 + 18*l - 20. Let a(q) = 2*h(q) + 9*z(q). Factor a(t).
5*(t - 2)*(t - 1)**2*(3*t + 2)
Let w(j) be the third derivative of 0*j + 3*j**2 + 0*j**3 + 1/150*j**5 + 0 + 1/75*j**6 + 0*j**4. Determine a, given that w(a) = 0.
-1/4, 0
Suppose 3*v - 