1*s**5 + 2/11*s**4 + 0*s**3 + c*s + 0 = 0. Calculate s.
0, 1
Suppose -14*v + 18*v = 16. What is m in 3*m**2 - 3*m**2 - 3*m**2 + v*m - 9 + 8*m = 0?
1, 3
Let b be (1216/(-128) - -1*7)*-2. Let y(g) be the second derivative of -3/4*g**4 + g**3 + 0 + 0*g**2 + 3/20*g**b + 7*g. Suppose y(v) = 0. What is v?
0, 1, 2
Let c(q) be the first derivative of -q**5/70 - q**4/42 - 11*q + 13. Let o(d) be the first derivative of c(d). Determine t, given that o(t) = 0.
-1, 0
Let w(a) = 9*a**4 + 56*a**3 - a**2 - 108*a + 52. Let q(h) = 3*h**4 + 19*h**3 - 36*h + 17. Let t(d) = -8*q(d) + 3*w(d). Let t(u) = 0. What is u?
-5, -2, 2/3, 1
Let c(u) be the second derivative of -9*u**6/70 + 9*u**5/140 + 5*u**4/28 + u**3/14 - 41*u. Factor c(r).
-3*r*(r - 1)*(3*r + 1)**2/7
Let v(y) be the first derivative of 3*y**4/4 - y**3 - 6*y**2 + 12*y - 62. Solve v(n) = 0 for n.
-2, 1, 2
Suppose w = -w + 4*w. Suppose 14 = 7*y - w. Suppose 0*j**y - 3/4*j**3 + 3/4*j + 0 = 0. Calculate j.
-1, 0, 1
Factor -4/9*i + 2/9 + 2/9*i**2.
2*(i - 1)**2/9
Factor -22 - 3*n**2 + 6 + 4 + 42*n - 27.
-3*(n - 13)*(n - 1)
Let a = 13 + -14. Let q be a*(3 + -3 - 3). Find z, given that -z**3 - 3*z**3 - 3*z + 7*z**q = 0.
-1, 0, 1
Let i(u) be the first derivative of 2*u**2 - u**4 - 8 - 8*u + 8/3*u**3. Find x, given that i(x) = 0.
-1, 1, 2
Let 24/7*a**3 + 0 - 10/7*a**2 + 1/7*a = 0. What is a?
0, 1/6, 1/4
Let v(f) = -6*f**4 - f + 2*f**2 + 7*f**4 + 1 - 3*f**2. Let g(b) = -6*b**4 + 5*b**3 + 6*b**2 - 4*b - 1. Let l(c) = g(c) + v(c). Factor l(p).
-5*p*(p - 1)**2*(p + 1)
Let n(g) be the first derivative of -5*g**3/3 + 10*g**2 - 15*g + 165. Solve n(r) = 0 for r.
1, 3
Let y be 3969/12*88/3. Factor -5*x**3 + 5*x**4 + y - 9702 - 10*x**2.
5*x**2*(x - 2)*(x + 1)
Let a(h) = -3*h**2 - 3*h. Let g = 5 - -1. Let z(l) = 485*l - 3 - 6*l**2 + 2 - 492*l. Let v(y) = g*z(y) - 13*a(y). Factor v(f).
3*(f - 2)*(f + 1)
Let h(p) = 379*p - 753. Let r be h(2). Find i, given that 1/3 - i**4 + 2/3*i**2 - i + 2/3*i**3 + 1/3*i**r = 0.
-1, 1
Let c(w) = -7*w**5 - 4*w**4 + 6*w**3 + 3*w**2 + 2*w. Let g(t) = -3*t**5 - 2*t**4 + 3*t**3 + 2*t**2. Let v(j) = -6*c(j) + 15*g(j). Suppose v(h) = 0. What is h?
-2, 0, 1
Let p(l) be the second derivative of l**5/60 + 7*l**4/36 - 4*l**3/9 + 16*l + 2. Let p(i) = 0. What is i?
-8, 0, 1
Let j(s) = 10*s**2 - 2*s - 5. Let o(r) = r**2 + r. Let y(n) = -j(n) + 4*o(n). Let i(t) = 5*t**2 - 5*t - 4. Let p(w) = 7*i(w) + 6*y(w). Factor p(c).
-(c - 2)*(c + 1)
Let w(y) = -3*y**4 + 150*y**3 - 143*y**2 - 4. Let m(k) = 50*k**4 - 2550*k**3 + 2430*k**2 + 70. Let f(q) = -2*m(q) - 35*w(q). Factor f(b).
5*b**2*(b - 29)*(b - 1)
Let w(i) be the first derivative of -2/27*i**3 + 0*i**2 - 1/27*i**6 + 2/45*i**5 + 0*i + 23 + 1/18*i**4. Factor w(p).
-2*p**2*(p - 1)**2*(p + 1)/9
Suppose 35 + 19 = 18*g. Let y(p) be the first derivative of 0*p**2 - 1/3*p**6 + 0*p**5 - 4/3*p**g + 0*p + 3/2*p**4 + 4. Factor y(c).
-2*c**2*(c - 1)**2*(c + 2)
Let i(c) be the third derivative of c**5/20 + 23*c**4/8 + 38*c**3 + 27*c**2. Suppose i(o) = 0. Calculate o.
-19, -4
Let f(m) = -5*m**3 - 2*m**2 + 2*m + 8. Let x(t) = 5*t**3 + t**2 - t - 9. Let r(a) = 4*f(a) + 3*x(a). Factor r(w).
-5*(w - 1)*(w + 1)**2
Let k(v) be the first derivative of -v**6/1260 - v**5/420 + v**4/14 + 3*v**3 - v**2/2 - 50. Let z(s) be the third derivative of k(s). Factor z(h).
-2*(h - 2)*(h + 3)/7
Let o(x) be the third derivative of -1/24*x**4 + 0*x - 1/24*x**3 - 1/120*x**6 + 0 + 8*x**2 - 1/840*x**7 - 1/40*x**5. Factor o(p).
-(p + 1)**4/4
Let q(i) be the first derivative of 0*i**3 + 6*i - 9/2*i**2 + 3/4*i**4 - 4. Factor q(n).
3*(n - 1)**2*(n + 2)
Let o(r) be the third derivative of -r**7/70 + r**6/10 - 3*r**5/20 - r**4/2 + 2*r**3 + 168*r**2. Factor o(g).
-3*(g - 2)**2*(g - 1)*(g + 1)
Let g(s) = -s**3 - 15*s**2 - 12*s + 74. Let c be g(-14). Suppose q + 22*q - c = 0. Find z such that -30/7*z**q - 18/7*z**3 - 2/7 - 2*z = 0.
-1, -1/3
Let u(z) be the third derivative of z**6/210 - 38*z**5/105 - 41*z**4/42 + 52*z**3/7 + 234*z**2. Suppose u(n) = 0. Calculate n.
-2, 1, 39
Suppose 2*b + 1 - 7 = 0. Suppose -2*w**3 + 10*w**b + 0*w**4 - 4*w**4 + 0*w**4 - 4*w**2 = 0. Calculate w.
0, 1
Factor -16*x - 47/3 - 1/3*x**2.
-(x + 1)*(x + 47)/3
Suppose -3*l - 5 = -23. Factor -2 - 9*t**2 + l - 12*t + t**3 + 6*t**3.
(t - 2)*(t + 1)*(7*t - 2)
Let x(h) be the second derivative of h**7/7560 + h**6/432 + h**4/4 + h. Let g(k) be the third derivative of x(k). What is j in g(j) = 0?
-5, 0
Let 70/11*i**3 + 0 + 72/11*i**2 + 0*i - 2/11*i**4 = 0. What is i?
-1, 0, 36
Let g(c) be the third derivative of c**7/315 - c**6/60 - c**5/10 - 5*c**4/36 - 73*c**2. Let g(t) = 0. Calculate t.
-1, 0, 5
Let x(j) be the third derivative of 4/15*j**5 - 1/12*j**6 - 1/3*j**4 + 0 - 35*j**2 + 0*j + 0*j**3 + 1/105*j**7. Factor x(k).
2*k*(k - 2)**2*(k - 1)
Find n such that 103 + 16*n + 111 + n**2 - 93 - 38*n = 0.
11
Let r(w) be the second derivative of 0 + 5/33*w**3 - 1/22*w**5 + 10*w - 5/66*w**4 + 6/11*w**2 - 1/165*w**6. Solve r(z) = 0.
-3, -2, -1, 1
Let m(f) = -2*f - 1. Let h(z) = -2*z**2 + 130*z - 1795. Let q(n) = 2*h(n) + 10*m(n). Factor q(p).
-4*(p - 30)**2
Let l(c) be the third derivative of 1/900*c**6 - 1/180*c**4 + 1/225*c**5 + 0*c + 17*c**2 + 0 - 2/45*c**3. Factor l(t).
2*(t - 1)*(t + 1)*(t + 2)/15
Suppose 0 - 7 = -q - 2*c, 0 = -2*c + 2. Let b be -3 - -3*(2 + q/(-15)). Factor 2/9*s + 2/3*s**3 + 0 - 2/9*s**4 - 2/3*s**b.
-2*s*(s - 1)**3/9
Let v(a) be the second derivative of 3/14*a**2 - 21*a - 1 - 1/12*a**4 + 2/21*a**3. Factor v(n).
-(n - 1)*(7*n + 3)/7
Let o(t) be the first derivative of t**8/336 + 3*t**7/56 + t**6/3 + 2*t**5/3 + 11*t**3 + 5. Let d(c) be the third derivative of o(c). Factor d(b).
5*b*(b + 1)*(b + 4)**2
Factor 2*u + 3*u - 17*u**2 + 12*u**2.
-5*u*(u - 1)
Let n = -10 - -12. Suppose -4*z + 2*z + 26 = t, -5*z + n*t = -56. Factor -21 + 6 - w**2 + z*w - w**2 - 3.
-2*(w - 3)**2
Let f(a) be the second derivative of a**8/1120 - a**7/120 + a**6/120 + 3*a**5/40 + a**4/2 - 7*a. Let m(q) be the third derivative of f(q). Factor m(z).
3*(z - 3)*(z - 1)*(2*z + 1)
Solve -5/3*t**4 - 125/3*t - 55/3*t**3 + 0 - 175/3*t**2 = 0.
-5, -1, 0
Factor 13/7*n + 0 - 2*n**2 + 1/7*n**3.
n*(n - 13)*(n - 1)/7
Determine n, given that 614/7*n**3 + 84*n + 106/7*n**4 + 6/7*n**5 + 178*n**2 + 0 = 0.
-7, -3, -2/3, 0
Let p(b) = -27*b + 300. Let v be p(11). Let s(o) be the first derivative of 5 - 10*o**v - 6*o + 27/2*o**2 + 9/4*o**4. Factor s(g).
3*(g - 2)*(g - 1)*(3*g - 1)
Let z = -29450/3 + 9818. Factor 8/3 - 1/3*l**3 - 1/3*l**5 + z*l - 10/3*l**2 + 4/3*l**4.
-(l - 2)**3*(l + 1)**2/3
Let 1458000 + 135*d**2 - 1/4*d**3 - 24300*d = 0. What is d?
180
Let u(i) be the first derivative of 2*i**4/3 + 2*i**3/3 - 2*i**2 - 8*i + 7. Let r(n) be the first derivative of u(n). Determine b so that r(b) = 0.
-1, 1/2
Suppose -6 = 2*o - 16, 2*d - 28 = -4*o. Let u be (20/30 - (-2)/(-4))*d. Factor 0 + 4/15*y - u*y**2.
-2*y*(5*y - 2)/15
Factor -14/5 - 26/5*k + 2/5*k**3 - 2*k**2.
2*(k - 7)*(k + 1)**2/5
Let l(p) be the first derivative of -2*p**3/39 + 4*p**2 + 106*p/13 + 165. Factor l(j).
-2*(j - 53)*(j + 1)/13
Solve -6 - 2499/2*r**3 + 2883/2*r**5 - 3243/2*r**2 - 192*r + 3255/2*r**4 = 0.
-1, -2/31, 1
Let i(f) be the third derivative of -13*f**2 + 0*f**4 - 1/20*f**5 + 0*f + 0*f**3 + 0. Suppose i(z) = 0. What is z?
0
Let b(c) be the second derivative of -c**5/20 + 9*c**3/2 - 27*c**2 - 19*c - 2. Suppose b(r) = 0. What is r?
-6, 3
Let i(a) be the second derivative of -a**9/75600 + a**8/3360 - a**7/450 + a**6/150 - 5*a**4/2 - 10*a - 2. Let p(m) be the third derivative of i(m). Factor p(x).
-x*(x - 6)*(x - 2)**2/5
Let i be 3 + 2*(-2 - (-5)/2). Let -4*p**3 + 0*p**3 + 2*p**2 - i*p**3 - 5*p**3 = 0. What is p?
0, 2/13
Let s(z) = z**4 + 3*z**3 + 2*z**2 + 2*z + 2. Let m(i) = 4*i**4 + 12*i**3 + 8*i**2 + 9*i + 9. Let l(o) = 4*m(o) - 18*s(o). Determine y, given that l(y) = 0.
-2, -1, 0
Let s(h) = 2*h - 3. Let u be s(3). What is a in -8*a**3 - 9*a**3 - 4*a**2 - 9*a**3 + 2*a + 28*a**u = 0?
0, 1
Let c = 5216/7815 + -2/2605. Let -c*r**3 + 2/3*r**4 - 2*r**2 - 4/3 + 10/3*r = 0. Calculate r.
-2, 1
Let v(s) be the first derivative of 12 - 3*s**2 + 1/2*s**3 + 6*s. Let v(f) = 0. What is f?
2
Suppose -2*o - 2*o = 0. Let p(u) = u**3 + 3. Let j be p(o). Factor 3*w**3 + 18*w**2 + 5*w + 5*w**j + 0*w - w.
2*w*(w + 2)*(4*w