t is m?
-3, -1, 1/2
Factor 23*v**3 + v - 60*v**3 + 18*v**3 + 18*v**3.
-v*(v - 1)*(v + 1)
Let x(u) be the third derivative of 49*u**6/40 + 7*u**5/5 - 3*u**4/2 + 33*u**2 - 1. Factor x(n).
3*n*(7*n - 2)*(7*n + 6)
Let c be (4/70)/(12/84). Factor 2/5*l**2 + 0*l**3 + 0*l + 0 - c*l**4.
-2*l**2*(l - 1)*(l + 1)/5
Factor w**2 - 2/3*w - 1/3*w**3 + 0.
-w*(w - 2)*(w - 1)/3
Let k(l) = 12 - l - 3*l + 3*l - 2. Let a be k(7). Find r such that -1/2*r**a - 1/4*r**2 + 0*r - 1/4*r**4 + 0 = 0.
-1, 0
Suppose -5*z = -2*z - 12. Solve -2/9*m**z + 0 + 4/9*m**3 + 0*m - 2/9*m**2 = 0 for m.
0, 1
Let n(p) be the third derivative of 2*p**2 - 1/90*p**5 + 0*p + 1/18*p**4 - 1/9*p**3 + 0. Factor n(j).
-2*(j - 1)**2/3
Factor -60*v**4 + v**3 - 3*v**2 + v**2 - v**5 + 62*v**4.
-v**2*(v - 2)*(v - 1)*(v + 1)
Let s be 4 + -2 + 0/3. Suppose 0*o = 2*u - s*o - 6, 7 = 5*u + 3*o. Factor 0 + 0*r**u + 0*r - 1/3*r**4 + 1/3*r**3.
-r**3*(r - 1)/3
Let h(q) be the second derivative of -q**5/70 + q**4/21 - 26*q. Factor h(y).
-2*y**2*(y - 2)/7
Let g(m) be the second derivative of -1/42*m**4 + 0 + 3*m - 4/7*m**2 + 4/21*m**3. Let g(n) = 0. Calculate n.
2
Let i = -10 - -49. Let t(w) = 7*w**5 - 7*w**4 - 7*w**3 - 19*w**2 + 13*w. Let q(f) = f**5 - f**4 - f**3 - 3*f**2 + 2*f. Let c(y) = i*q(y) - 6*t(y). Factor c(u).
-3*u**2*(u - 1)**2*(u + 1)
Let w = -24359/70 + 348. Let u(z) be the second derivative of 1/21*z**4 + 0 + 0*z**2 + 2*z - w*z**5 - 1/21*z**3. Solve u(k) = 0.
0, 1
Let j(t) be the second derivative of -2*t**6/135 + t**5/15 - 2*t**4/27 - 6*t. Determine d, given that j(d) = 0.
0, 1, 2
Let c(l) be the second derivative of -l**6/135 + l**5/90 - 18*l. Factor c(a).
-2*a**3*(a - 1)/9
Let z(l) be the second derivative of 0*l**2 - 1/8*l**4 - 5*l + 0 - 3/4*l**3. Solve z(y) = 0.
-3, 0
Let x = -248/3 + 83. Determine f so that 1/3*f + 0 - 2/3*f**2 + x*f**3 = 0.
0, 1
Find n such that n**5 + 26*n**4 + n - 2*n**3 - 26*n**4 = 0.
-1, 0, 1
Let d(m) be the first derivative of -m**5/20 - m**4/16 + m**3/4 + m**2/8 - m/2 + 8. What is y in d(y) = 0?
-2, -1, 1
Factor -8/17*h + 8/17 + 2/17*h**2.
2*(h - 2)**2/17
Suppose -5*t + 8 = -t. Suppose -7 = -v + q, -v = -0*q + 3*q - 11. Factor v*z + 0*z**2 - 6*z - t*z**2 - 6*z.
-2*z*(z + 2)
Let n(i) be the first derivative of 1/2*i**2 - 4 + 0*i - 1/6*i**6 + 0*i**4 + 2/5*i**5 - 2/3*i**3. Factor n(x).
-x*(x - 1)**3*(x + 1)
Let g(u) be the third derivative of u**6/2340 + u**5/390 - u**3/3 - 3*u**2. Let q(r) be the first derivative of g(r). Find h such that q(h) = 0.
-2, 0
Let n be (22/(-8))/(19/266). Let g = 39 + n. Suppose a - 1/2*a**4 - 3/2*a**3 + 1/2*a**2 + g*a**5 + 0 = 0. What is a?
-1, 0, 1, 2
Let x(z) be the first derivative of -z**5/5 + z**4/4 + 2*z**3/3 + 11. Factor x(s).
-s**2*(s - 2)*(s + 1)
Let b be (6/4)/((-2)/(-4)). Suppose -3*i**4 - 3*i**2 + 65 - 65 - 6*i**b = 0. Calculate i.
-1, 0
Let -2*a - 23/5*a**2 + 0 + a**3 = 0. Calculate a.
-2/5, 0, 5
Let u = -6 + 9. Let -4*o**3 - 4*o**3 + 4*o**2 + 6*o**u = 0. What is o?
0, 2
Suppose 0 = 15*k - 11*k - 16. Factor 0 + 1/2*s**3 - 1/2*s + 1/2*s**2 - 1/2*s**k.
-s*(s - 1)**2*(s + 1)/2
Let x(l) = -39*l**2 - 27*l + 66. Let t(v) = 17*v - 5 + 2*v**2 + v**2 - 15*v. Let q(u) = -27*t(u) - 2*x(u). Let q(b) = 0. Calculate b.
-1, 1
Let j(b) be the second derivative of b**5/150 - 2*b**4/45 + 4*b**3/45 - 8*b. Suppose j(r) = 0. What is r?
0, 2
Let v(g) be the third derivative of g**5/240 - g**3/24 - 15*g**2. Factor v(z).
(z - 1)*(z + 1)/4
Let d(j) = 15*j**3 + 72*j**2 + 216*j + 216. Let x(k) = -8*k**3 - 36*k**2 - 108*k - 108. Let h(p) = 4*d(p) + 7*x(p). Determine n, given that h(n) = 0.
-3
Let n(c) be the second derivative of 0*c**2 - 1/21*c**6 + 0*c**3 + 3*c + 0 + 1/21*c**4 - 3/70*c**5. Let n(t) = 0. Calculate t.
-1, 0, 2/5
Let h(s) = 5*s + 1. Let a be h(-6). Let g be a/(-9) - 8/36. Find k such that -4 - 3*k**g + 2 + 4*k + 5*k - 4 = 0.
-2, 1
Let l(d) be the third derivative of -3/16*d**4 + 0*d + 9/8*d**3 + 1/80*d**5 + 2*d**2 + 0. Factor l(x).
3*(x - 3)**2/4
Let v(u) be the first derivative of u**7/315 - u**6/90 - u**5/90 + u**4/18 - 5*u**2/2 + 3. Let n(x) be the second derivative of v(x). Solve n(y) = 0.
-1, 0, 1, 2
Find m, given that 5/6*m**2 - 1/6 - 2/3*m = 0.
-1/5, 1
Factor l**2 + 2/3*l + 0 + 1/3*l**3.
l*(l + 1)*(l + 2)/3
Suppose 5*m - 3*n + 5 = 0, -5*m = -2*n + 7*n + 5. Let t be m/(9/24) - -3. Suppose 1/3*q**2 + t - 2/3*q = 0. What is q?
1
Let o be -4 + 6 + -1 + 1. Let c be (-50)/275 + (-40)/(-99). Determine k, given that 0*k + c*k**o + 0 = 0.
0
Suppose -k = 2*k + 18. Let y(u) = 4*u**2 - 6*u - 4. Let c be (34/3)/((-2)/(-3)). Let j(z) = 11*z**2 - 18*z - 12. Let p(r) = c*y(r) + k*j(r). Factor p(a).
2*(a + 1)*(a + 2)
Suppose 0 = 3*v - 7*v. Let k(u) be the first derivative of v*u**3 - 1/6*u**6 + 0*u**5 + 0*u + 0*u**2 + 1/4*u**4 + 2. Factor k(w).
-w**3*(w - 1)*(w + 1)
Let i = -21 - -13. Let o be i/10*40/(-112). Find p, given that -2/7*p - o*p**3 + 0 + 4/7*p**2 = 0.
0, 1
Let i(f) be the first derivative of -f**6/1080 + f**5/360 + f**4/36 + 2*f**3 - 5. Let d(k) be the third derivative of i(k). Factor d(v).
-(v - 2)*(v + 1)/3
Find p, given that 0 - 2*p - 7/2*p**5 + 4*p**2 + p**4 + 21/2*p**3 = 0.
-1, 0, 2/7, 2
Let i be -1 + 4/4 + (6 - 2). Let t(k) be the first derivative of 3/4*k**2 + 0*k**3 - i - 3/8*k**4 + 0*k. Determine b, given that t(b) = 0.
-1, 0, 1
Let u be (45/(-2))/(-5) + -1. Let c(a) = a**2 - 12*a + 34. Let h be c(8). Factor u*r**h - 5/2*r - 1.
(r - 1)*(7*r + 2)/2
Suppose -h + 0*h - 3*h = 0. Let u(v) be the third derivative of 0 + 0*v**4 + 0*v**6 + h*v**3 + 0*v + 2*v**2 - 1/120*v**5 + 1/420*v**7. Factor u(l).
l**2*(l - 1)*(l + 1)/2
Solve 0*b - 1/4*b**4 - 1/4*b**2 + 1/2*b**3 + 0 = 0 for b.
0, 1
Suppose 3 = -4*c + 27. Let n be 7/10 + (-3)/c. Suppose n*b + 0*b**2 - 1/5*b**3 + 0 = 0. What is b?
-1, 0, 1
Let q(z) be the third derivative of -1/672*z**8 + 0*z**3 + 0*z**5 + 0*z + 2*z**2 + 1/120*z**6 + 0 - 1/48*z**4 + 0*z**7. Solve q(v) = 0 for v.
-1, 0, 1
Let b(c) = -4*c**3 - 4*c**2 + 4*c + 4. Let z(a) = 17*a**3 + 17*a**2 - 17*a - 17. Let t(f) = -18*b(f) - 4*z(f). Find q such that t(q) = 0.
-1, 1
Solve 45*k**3 + 25*k**4 + 101*k**2 - 66*k**2 + 3*k**5 + 2*k**5 + 10*k = 0 for k.
-2, -1, 0
Determine x, given that 4/7*x**3 - 18/7*x**2 + 18/7*x**4 + 0 + 4/7*x - 8/7*x**5 = 0.
-1, 0, 1/4, 1, 2
Let p = 118 + -173. Let r be 10/p + 105/33. Find f, given that -1/5*f - 1/5*f**2 + 1/5*f**r + 1/5 = 0.
-1, 1
Let l(z) = z**3 + 11*z**2 - 11*z + 14. Let m be l(-12). Let p(n) be the first derivative of -n**3 - 3/4*n**4 + m - 1/5*n**5 - 1/2*n**2 + 0*n. Factor p(x).
-x*(x + 1)**3
Let c(f) be the first derivative of -f**4/2 - 4*f**3 - 11*f**2 - 12*f + 9. Factor c(z).
-2*(z + 1)*(z + 2)*(z + 3)
Let x(k) = 2 + k**2 + 47*k - 37*k + 1. Let u be x(-10). Factor -1/4*q**u + 1/4*q + 0*q**2 + 0.
-q*(q - 1)*(q + 1)/4
Let l be 4/2 - (1 + -2). Let n be ((-3)/(-9))/(l/45). Factor -2*c**2 + 2*c**4 - 3*c**3 - 6*c**n - c**5 + 10*c**4.
-c**2*(c - 1)**2*(7*c + 2)
Determine f, given that 10/11*f**4 - 8/11 + 16/11*f - 2/11*f**5 - 14/11*f**3 - 2/11*f**2 = 0.
-1, 1, 2
Suppose 4 - 29 = -z - 4*t, -4*z = -2*t - 64. Suppose -4*j + 3*j + z = 4*u, 0 = -5*u + 3*j. What is m in m**5 + m**3 + 2*m**u + 0*m**4 + m**2 + 3*m**4 = 0?
-1, 0
Let o(l) = -2*l + 32. Let b be o(15). Suppose -3*s = -2*q + 8 - 2, 0 = -b*q + 5*s + 10. Factor 0 + 0*f + q*f**2 - 1/5*f**3.
-f**3/5
Let v be (1134/(-45))/(2*-1). Let q = v - 61/5. What is m in 16/5*m + 8/5 + q*m**3 + 2*m**2 = 0?
-2, -1
Let g be (12 - -3)*(-2)/(-6). Suppose 4*a = -g*f - 6, 0*a = f - 2*a - 10. Factor -2/3*x**4 + 2/3*x**3 - 2/3*x + 2/3*x**f + 0.
-2*x*(x - 1)**2*(x + 1)/3
Let g(w) be the first derivative of -3*w**4/20 + 2*w**3 - 15*w**2/2 + 44. Factor g(u).
-3*u*(u - 5)**2/5
Let m be (-1*1)/((-12)/120). Let 3*q**5 - 21*q - 4*q**3 - m*q**2 - 6*q**4 + 6 + 34*q**2 - 2*q**3 = 0. Calculate q.
-2, 1
Let x = -1 - 3. Let u(h) = h**2 + 4*h + 3. Let m be u(x). Find z, given that 6*z - 2*z + 2*z**m + 4*z**2 - 2*z = 0.
-1, 0
Let o(k) be the first derivative of 1/8*k - 1/32*k**4 + 7 - 1/24*k**3 + 1/16*k**2. Factor o(q).
-(q - 1)*(q + 1)**2/8
Suppose -3 = -0*g + 3*g. Let h(z) = 3*z**2 + 6*z - 6. Let v(q) = 1. Let u(r) = g*h(r) - 6*v(r). Factor u(n).
-3*n*(n + 2)
Find v, given that -10/3*v**4 - 10/3*v**3 + 10/3*v**2 - 2/3*v**5 + 0 + 4*v = 0.
-3, -2, -1, 0, 1
Let n(b) be the