 5*j(p). Find m, given that i(m) = 0.
-3, -1, 1
Let 13*i**4 + 21*i**5 + 2*i**3 + 3*i**2 - i**2 - 2*i**2 = 0. What is i?
-1/3, -2/7, 0
Let o(l) = -3*l**2 - 4*l - 8. Let v(r) = -4*r**2 - 4*r - 8. Let w(h) = 3*o(h) - 2*v(h). Let n(b) = 3*b + 9. Let t(a) = -4*n(a) - 3*w(a). Factor t(i).
3*(i - 2)*(i + 2)
Let r = 109/260 + -1/52. Factor r*d - 1/5*d**2 + 0.
-d*(d - 2)/5
Let b(h) be the first derivative of -1 + 1/5*h - 2/5*h**2 + 4/15*h**3. Factor b(j).
(2*j - 1)**2/5
Let b(u) be the third derivative of u**8/672 + u**7/420 - u**6/120 + u**2. Solve b(h) = 0.
-2, 0, 1
Let k(v) = 2*v**5 - 9*v**4 - 30*v**3 - 49*v**2 - 30*v - 6. Let q(u) = -u**5 + u**2 - u - 1. Let f(t) = -5*k(t) - 15*q(t). Factor f(c).
5*(c + 1)**3*(c + 3)**2
Suppose 5*x + 3*m = 32, 0 = -2*m - 0*m + 8. Let y be ((-3)/2)/((-7)/14). Find g such that 3/2*g**y + 0 + 0*g - 3/2*g**5 + g**x - g**2 = 0.
-1, 0, 2/3, 1
Suppose c = -4*b + 14, 5*c - 9 = -3*b + 10. Let y(t) be the first derivative of 4 - 7/2*t**c + 8/3*t**3 + t + 4*t**4. Let y(f) = 0. What is f?
-1, 1/4
Let c(l) be the second derivative of -l**6/33 - 3*l**5/110 + 7*l**4/66 + l**3/11 - 2*l**2/11 - 2*l. Suppose c(t) = 0. Calculate t.
-1, 2/5, 1
Let i(u) = 13*u**2 - 6*u - 4. Let z(c) = -14*c**2 + 6*c + 4. Let m(x) = 4*i(x) + 3*z(x). Let m(y) = 0. What is y?
-2/5, 1
Let d(w) be the second derivative of -w**6/30 - 3*w**5/10 - 13*w**4/12 - 2*w**3 - 2*w**2 + w. Determine j, given that d(j) = 0.
-2, -1
Factor 6*h**2 + 100 - 13 + 40*h - 2*h**2 + 13.
4*(h + 5)**2
Suppose 8 = 2*m + 2*m. What is r in 8*r + m*r - 3 - 2*r - 2*r - 3*r**2 = 0?
1
Factor -55*h + 1 + 72*h**2 - 27*h**2 + 9.
5*(h - 1)*(9*h - 2)
Let t be (-16)/(-5) - 3/15. Solve 2*y**t + 0*y**2 - y**4 + 0*y**4 - y**2 = 0 for y.
0, 1
Let p(w) be the first derivative of -2*w**5/5 - w**4/2 + 2*w**3/3 + w**2 - 5. Solve p(a) = 0 for a.
-1, 0, 1
Let p(g) = -6*g**4 - 14*g**3 - 10*g**2 + 2*g. Let h(l) = 31*l**4 + 71*l**3 + 51*l**2 - 11*l. Let x(k) = 2*h(k) + 11*p(k). Factor x(o).
-4*o**2*(o + 1)*(o + 2)
Let c = 16 - 14. What is s in c*s**2 - 5*s**2 + 0*s**2 - 3 - 6*s = 0?
-1
Let u(b) = -7*b**2 - 9*b + 5. Let i(c) = 4*c**2 + 5*c - 3. Let j(l) = -5*i(l) - 3*u(l). Factor j(a).
a*(a + 2)
Let m(p) be the second derivative of -p**5/4 + 25*p**4/12 - 20*p**3/3 + 10*p**2 + 14*p. Solve m(q) = 0 for q.
1, 2
Suppose -1 = -5*f + 34. Let m(c) be the second derivative of -1/84*c**f + 0 - 3*c + 0*c**4 + 0*c**5 + 0*c**3 + 0*c**2 + 1/60*c**6. Factor m(o).
-o**4*(o - 1)/2
Determine u, given that 2/11*u**5 - 2/11*u**2 + 0*u + 0 - 2/11*u**3 + 2/11*u**4 = 0.
-1, 0, 1
Let w be 33/18 - (-3)/(-6). Let l be (-2)/4*(-4 - -4). Solve 2/3*x**5 - 2/3*x + l - w*x**4 + 0*x**3 + 4/3*x**2 = 0 for x.
-1, 0, 1
Let j = -25 - -12. Let t = 27/2 + j. Factor t + 3/2*k + 1/2*k**3 + 3/2*k**2.
(k + 1)**3/2
Let l be ((-20)/(-15))/((-2)/(-3)). Let x(n) be the first derivative of 2/25*n**5 - 2/15*n**3 + 0*n**l + 0*n + 0*n**4 - 1. Factor x(c).
2*c**2*(c - 1)*(c + 1)/5
Let s = -2 + 5. Factor 0*h**s + 1/3*h**2 + 0*h + 0 - 1/3*h**4.
-h**2*(h - 1)*(h + 1)/3
Let q be 7 + -3 + 2 - (8 + -4). Factor -2/11*g - 4/11 + 2/11*g**q.
2*(g - 2)*(g + 1)/11
Let w(f) = f**2 - 2. Let t be w(-2). Let u(i) = -i**t + 6*i**2 - 2*i**3 + 6*i**2. Let j(a) = a**3 - 5*a**2. Let o(b) = 13*j(b) + 6*u(b). Solve o(y) = 0 for y.
-1, 0
Let f = -363 - -147. Let u be (18/f)/((-1)/2). Factor 1/6*j - 1/3*j**2 + 0*j**3 - u*j**5 + 0 + 1/3*j**4.
-j*(j - 1)**3*(j + 1)/6
Let w(j) be the first derivative of -j**7/840 - j**6/40 - 9*j**5/40 - 9*j**4/8 - j**3 + 4. Let z(x) be the third derivative of w(x). Factor z(g).
-(g + 3)**3
Let l be (-5)/((-15)/(-14)) + 1 - -4. Suppose -2/3*m - l*m**2 + 0 = 0. What is m?
-2, 0
Let l(d) = 5*d**2 - 2*d**5 - 2*d - d - 2 - 3*d - d**3 - 3*d**4. Let c(k) = -k**5 - 3*k**4 + 4*k**2 - 5*k - 1. Let n(z) = 3*c(z) - 2*l(z). Factor n(f).
(f - 1)**4*(f + 1)
Determine o, given that 12*o**2 + 0 + 16/3*o = 0.
-4/9, 0
Suppose 0*w - 5*w + 2*c = -96, -w = c - 22. Let a = w - 20. Determine x so that 0*x + a - 4/5*x**2 + 2/5*x**3 = 0.
0, 2
Let p(m) be the first derivative of -1/10*m**5 + 0*m**3 + 0*m**2 + 1/8*m**4 - 1 + 0*m. Factor p(t).
-t**3*(t - 1)/2
Let d(k) be the third derivative of 5*k**8/192 - 151*k**7/840 - 151*k**6/480 + 131*k**5/240 + 29*k**4/24 + 5*k**3/6 + 37*k**2. Solve d(x) = 0.
-1, -2/5, -2/7, 1, 5
Let d(p) be the second derivative of -p**4/12 - p**3/8 + p**2/8 + 6*p + 6. Determine q, given that d(q) = 0.
-1, 1/4
Let d(h) be the second derivative of h**7/21 + h**6/15 - h**5/10 - h**4/6 - 4*h. Suppose d(r) = 0. Calculate r.
-1, 0, 1
Let u(a) be the first derivative of -2*a**6/27 - 4*a**5/45 + a**4/3 + 20*a**3/27 + 4*a**2/9 + 3. Suppose u(o) = 0. Calculate o.
-1, 0, 2
Let p = -7 + 20. Suppose p*b + 20 = 17*b. Factor -22/5*h**2 + 4/5*h + 0 - 34/5*h**4 + 42/5*h**3 + 2*h**b.
2*h*(h - 1)**3*(5*h - 2)/5
Let m(c) be the first derivative of 1/60*c**5 - 1/36*c**4 + 0*c**2 + 1/90*c**6 - 1/18*c**3 - 1 - 2*c. Let l(g) be the first derivative of m(g). Factor l(o).
o*(o - 1)*(o + 1)**2/3
Let h(k) = 4*k - 1. Let p be h(-7). Let o = -29 - p. Suppose o + 1/4*b + 1/4*b**2 = 0. Calculate b.
-1, 0
Let n(y) be the third derivative of -y**6/30 - 2*y**5/15 - y**4/6 - 6*y**2. Suppose n(c) = 0. What is c?
-1, 0
Let o = 3/7 + 26/21. Factor -o*h**2 - 7/3*h - 2/3.
-(h + 1)*(5*h + 2)/3
Let r be (34/56)/1 + 6/(-24). Let t(a) be the first derivative of -2/7*a**3 - 2/7*a**2 + 0*a + r*a**4 + 2. Factor t(c).
2*c*(c - 1)*(5*c + 2)/7
Let n(v) = -v**3 - 3*v**2 + 5*v + 6. Let t(s) = s + 3. Let f be t(-7). Let i be n(f). Find c, given that -2/3*c**5 + 0 + i*c**3 - 4/3*c**2 + 0*c**4 + 0*c = 0.
-2, 0, 1
Suppose -8 = -5*f - 4*v, -13*f + 14*f - 5*v = -10. Solve -2/3*l**3 + 0 + 0*l**2 + 1/3*l + f*l**4 + 1/3*l**5 = 0.
-1, 0, 1
Let p = -203 + 1018/5. Let c = p - 2/5. Factor c - 1/5*l**2 + 0*l.
-(l - 1)*(l + 1)/5
Let p(t) be the third derivative of -t**8/112 - 3*t**7/70 - 3*t**6/40 - t**5/20 + 14*t**2. Factor p(v).
-3*v**2*(v + 1)**3
Suppose -h = -2*k - k - 1, -4*h = -5*k - 11. Let i = k + 4. Factor 2*d**3 + 0*d**2 + 0*d**2 + d**5 - d - 2*d**i.
-d*(d - 1)**2*(d + 1)**2
Factor 2 - 1/4*n**3 - 3*n + 3/2*n**2.
-(n - 2)**3/4
Let v(k) be the second derivative of -k**5/130 - k**4/39 + k**3/39 + 2*k**2/13 - 6*k. Factor v(x).
-2*(x - 1)*(x + 1)*(x + 2)/13
Let x(a) = -11*a**3 + 3*a**2 + 3*a + 5. Let u(f) = 5*f**3 - 2*f**2 - 2*f - 2. Let p(l) = -15*u(l) - 6*x(l). Factor p(k).
-3*k*(k - 2)*(3*k + 2)
Let w(q) be the third derivative of q**7/8820 - q**5/420 + q**4/12 - 3*q**2. Let g(p) be the second derivative of w(p). Determine k, given that g(k) = 0.
-1, 1
Suppose 0 = 9*u - 6*u. Let r(d) be the third derivative of 0*d + u*d**4 + 0 + 0*d**3 + 1/240*d**6 - 1/60*d**5 + d**2. Factor r(f).
f**2*(f - 2)/2
Let x(i) be the third derivative of -i**9/52920 + i**7/8820 - i**4/6 - 4*i**2. Let g(k) be the second derivative of x(k). Determine o so that g(o) = 0.
-1, 0, 1
Let i(c) be the third derivative of -c**10/15120 + c**8/3360 - 3*c**4/8 + 6*c**2. Let k(t) be the second derivative of i(t). Factor k(u).
-2*u**3*(u - 1)*(u + 1)
Let h(s) be the first derivative of 0*s - s**2 - 2/3*s**3 + 1. Factor h(k).
-2*k*(k + 1)
Determine m so that -252/5*m**2 + 38/5*m**3 - 432/5 - 2/5*m**4 + 648/5*m = 0.
1, 6
Let f(y) = 21*y**3 - 16*y**2 - 8*y + 29. Let t(q) = -5*q**3 + 4*q**2 + 2*q - 7. Let a(k) = -6*f(k) - 26*t(k). Suppose a(c) = 0. Calculate c.
-1, 1, 2
Let h(y) = -2*y**5 + 22*y**4 - 12*y**3 + 2*y**2 + 2*y. Let b(z) = -z**3 + 0*z**3 + 2*z**3 + z**5 + 0*z**3. Let t(w) = -6*b(w) + h(w). Factor t(u).
-2*u*(u - 1)**3*(4*u + 1)
Suppose -3*g = -4*k + 20, -3*k - 10 = -2*g + 6*g. Solve -3*o**4 + 3*o**3 + 4*o**4 - o**k + 0*o**4 - 2*o**3 - o**5 = 0.
-1, 0, 1
Let f(v) = -52*v**3 - 25*v**2 - v - 3. Let u(l) = 51*l**3 + 26*l**2 + 2*l + 2. Let o(z) = -2*f(z) - 3*u(z). Factor o(h).
-h*(7*h + 2)**2
Factor 1/9*n**4 - 1/3*n**2 + 2/9*n + 0 + 0*n**3.
n*(n - 1)**2*(n + 2)/9
Find s, given that -s**2 + 107 + 8*s - 5*s**2 - 99 = 0.
-2/3, 2
Let i(s) be the third derivative of -s**8/56 - 8*s**7/105 - s**6/15 + 55*s**2. Factor i(c).
-2*c**3*(c + 2)*(3*c + 2)
Let s be -14 + 16 - (-5 - 1/(-1)). Let u(j) be the third derivative of 1/180*j**s + 1/90*j**5 + 0*j**3 + 0*j + 0*j**4 + 0 + j**2. Factor u(g).
2*g**2*(g + 1)/3
Let s be 56/(-36) - (0 + -2). Let q be ((-2)/