ine m, given that 4*m**4 - m**2 - o*m**4 + 2*m**4 = 0.
-1, 0, 1
Let k(i) be the third derivative of -i**6/100 + 2*i**5/75 + i**4/12 - 2*i**3/15 - i**2. Let k(n) = 0. Calculate n.
-1, 1/3, 2
Let c(r) = -2*r - 22. Let b be c(-11). Factor b - 1/4*d**2 + 1/2*d.
-d*(d - 2)/4
Factor -3*h**3 - 3 - 3/2*h + 15/2*h**2.
-3*(h - 2)*(h - 1)*(2*h + 1)/2
Solve -3/4*w + 0 + 1/4*w**3 - 1/2*w**2 = 0.
-1, 0, 3
Let g(c) be the second derivative of 14*c**6/15 - 9*c**5/5 + 2*c**4/3 + 10*c. Find v, given that g(v) = 0.
0, 2/7, 1
Let w(f) be the first derivative of -f**6/60 - f**5/20 - f**4/24 + f + 1. Let l(x) be the first derivative of w(x). Suppose l(m) = 0. Calculate m.
-1, 0
Let i(j) = -j**3 - 4*j**2 - j - 2. Let y be i(-4). Determine b so that -4*b**2 + 3*b**y + 4*b**2 + 3*b = 0.
-1, 0
Suppose 2*p**4 + p**2 - 3*p**2 - 3*p**4 - 5*p**3 + 2*p**3 = 0. Calculate p.
-2, -1, 0
Let w(d) be the second derivative of 2*d**7/21 - 8*d**6/15 + 6*d**5/5 - 4*d**4/3 + 2*d**3/3 - 4*d. Factor w(v).
4*v*(v - 1)**4
Let m(s) be the third derivative of -3*s**2 + 0*s - 1/12*s**4 + 0*s**3 + 1/60*s**6 + 0 + 0*s**5. Factor m(d).
2*d*(d - 1)*(d + 1)
Let u(w) be the third derivative of -1/9*w**3 - 1/120*w**6 + 1/24*w**4 - 2*w**2 + 1/630*w**7 + 0 + 0*w + 1/180*w**5. Factor u(r).
(r - 2)*(r - 1)**2*(r + 1)/3
Let b(x) = x - 12. Let i be b(7). Let d = i + 9. Factor 19/2*o**d + o - 15/2*o**3 + 0 - 7/2*o**5 + 1/2*o**2.
-o*(o - 1)**3*(7*o + 2)/2
Let p = -200 + 200. Suppose -2*y**3 - 12/13*y**2 - 24/13*y**4 + p - 2/13*y - 8/13*y**5 = 0. What is y?
-1, -1/2, 0
Let r(v) be the first derivative of -5*v**3/3 + 10*v**2 - 20*v + 14. Let r(p) = 0. What is p?
2
Let n = -5 - -11/2. Let o = -14 + 14. Find t such that n*t**4 + 1/2*t**3 + o*t + 0 - 1/2*t**2 - 1/2*t**5 = 0.
-1, 0, 1
Let w = 24 + -7. Let m(n) be the third derivative of n**5/20 + n**4/4 + n**3/2 - n**2. Let i(k) = -k**2 - 2*k - 1. Let t(c) = w*i(c) + 6*m(c). Factor t(y).
(y + 1)**2
Suppose 0 = -11*j + 7*j + 20. Let g(f) be the third derivative of 2*f**2 - 1/9*f**3 + 0 - 1/15*f**j - 1/72*f**6 + 0*f - 1/8*f**4. What is u in g(u) = 0?
-1, -2/5
Suppose h + 1 = 5. Let w be 1*((-3)/(-3) - 6). Let y(b) = -6*b**3 - 6*b. Let a(f) = -7*f**3 + f**2 - 7*f. Let t(k) = h*a(k) + w*y(k). Factor t(v).
2*v*(v + 1)**2
Let d(j) be the second derivative of -j**7/77 - 12*j**6/55 - 21*j**5/22 + 6*j**4/11 + 36*j**3/11 + 38*j. Let d(t) = 0. Calculate t.
-6, -1, 0, 1
Let q(a) be the third derivative of 4*a**2 - 1/24*a**4 + 0 + 0*a + 1/60*a**5 - 1/3*a**3. Factor q(t).
(t - 2)*(t + 1)
Let v(r) be the first derivative of r**7/2940 - r**6/630 - r**5/420 + r**4/42 - 2*r**3 - 6. Let j(q) be the third derivative of v(q). Factor j(z).
2*(z - 2)*(z - 1)*(z + 1)/7
Let k be 3*(-24)/27 + 4. Let y = -104/21 + 44/7. Factor -1/3*n**2 - k + y*n.
-(n - 2)**2/3
Let l(i) be the first derivative of 3/7*i**2 + 4/7*i + 2/21*i**3 - 3. Factor l(o).
2*(o + 1)*(o + 2)/7
Let f be ((-1 - -2)/(24/48))/5. Suppose -2/5 + f*t**2 - 1/5*t**3 + 1/5*t = 0. Calculate t.
-1, 1, 2
Factor -6/7*d**4 + 2/7*d**3 + 0 + 0*d + 4/7*d**2.
-2*d**2*(d - 1)*(3*d + 2)/7
Let r(q) be the second derivative of -q**8/53760 - q**7/20160 + q**6/2880 + q**4/3 - 6*q. Let l(u) be the third derivative of r(u). Factor l(d).
-d*(d - 1)*(d + 2)/8
Let n(d) be the second derivative of d**9/3024 - d**7/840 + d**3/2 - 5*d. Let u(c) be the second derivative of n(c). What is s in u(s) = 0?
-1, 0, 1
Determine n, given that -2*n**3 + 9*n**2 + 27/4 - 27/2*n = 0.
3/2
What is r in 1/9*r**2 + 1/9*r**3 - 1/9*r - 1/9 = 0?
-1, 1
Suppose 0 = 2*i - 5*t + 5, 4*i + 19 = 5*t + 14. Factor 0 + i*y + 2/5*y**2.
2*y**2/5
Factor -8/5*t + 4/5*t**2 - 12/5.
4*(t - 3)*(t + 1)/5
Let t(k) = -k**5 - k**4 + k**3 - k**2 + k. Let r(d) = 9*d**5 + 9*d**4 - 15*d**3 + 3*d**2. Let m(l) = -r(l) - 6*t(l). Solve m(b) = 0 for b.
-2, -1, 0, 1
Let d be (-125)/225*(-4)/10. What is m in -4/9*m**3 - d + 4/9*m + 0*m**2 + 2/9*m**4 = 0?
-1, 1
Let p = -13465/34 + 396. Let t = 15/68 - p. Find k, given that -1/2*k - 1/4 - t*k**2 = 0.
-1
Let v(u) = -2*u**2 - 16*u - 18. Let g(m) = -m**2 + 1. Let k(n) = -2*g(n) - v(n). Factor k(y).
4*(y + 2)**2
Let t(f) be the second derivative of f**6/30 - f**5/10 - f**4/12 + f**3/3 + 13*f. Find d, given that t(d) = 0.
-1, 0, 1, 2
Factor 3*v**2 + 2*v**3 + v**3 - 6*v**3.
-3*v**2*(v - 1)
Let n(t) = -t**3 + 6*t**2 - 19*t. Let p(b) = 2*b**2 - 6*b. Let d(f) = 2*n(f) - 7*p(f). Suppose d(c) = 0. Calculate c.
-2, 0, 1
Let k(l) = -l**4 + l**2 + l. Let y(v) = 4*v**4 - v**3 - 4*v**2 - 2*v. Let p(s) = -s - 4. Let u be p(-5). Let c(j) = u*y(j) + 3*k(j). Let c(g) = 0. Calculate g.
-1, 0, 1
Find d such that -2*d - 8 + 3 - d**2 + 4 = 0.
-1
Let j be (-3)/(-1) + 52/36 + -4. Factor -j + 8/9*g**2 + 2/9*g - 2/3*g**3.
-2*(g - 1)**2*(3*g + 2)/9
Let b(z) = -5*z**5 + 7*z**4 - 11*z**3 + z**2 - 2*z - 2. Let a(c) = -36*c**5 + 48*c**4 - 78*c**3 + 6*c**2 - 15*c - 15. Let y(v) = 2*a(v) - 15*b(v). Factor y(w).
3*w**2*(w - 1)**3
Let g(a) = a**3 - 8*a**2 - 10*a + 10. Let h be g(9). Let x be (2 - 3)/(-3)*h. Factor -2*m + 3 + x*m**2.
(m - 3)**2/3
Solve -1/7*t + 1/7*t**2 - 2/7 = 0.
-1, 2
Suppose -6*l + l = 3*t - 14, 0 = -2*l + 2. Factor -2/3*v**t - 4/9*v - 10/9*v**2 + 2/9*v**4 + 2/9*v**5 + 0.
2*v*(v - 2)*(v + 1)**3/9
Let v(h) = 8*h**3 - 4*h**2 + 6*h + 1. Let t(n) = -7*n**3 + 3*n**2 - 5*n - 1. Let g(l) = 5*t(l) + 4*v(l). Let c be g(-1). Factor -4 - 2*o + 3 - 3*o**2 + c*o**2.
-(o + 1)**2
Let f(d) = -6*d**4 - 2*d**2 + 4*d - 4. Let z(j) = -7*j**4 - j**3 - 2*j**2 + 5*j - 5. Let p(o) = -5*f(o) + 4*z(o). Solve p(m) = 0.
0, 1
Let j(a) = -3*a**2 + a - 2. Let o(c) = c**2 - 8*c + 9. Let s be o(7). Let x(i) = i + 1. Let z(t) = s*x(t) + j(t). Factor z(q).
-3*q*(q - 1)
Let m(c) be the first derivative of c**5/10 - c**3/6 + 7. Factor m(a).
a**2*(a - 1)*(a + 1)/2
Let b be ((-4)/(-12))/((-3)/(-2)). Suppose -10 = 2*s + 3*s + 5*m, 31 = 2*s - 5*m. Factor -2/9 + 4/9*f**2 - 4/9*f**s + 2/9*f + 2/9*f**5 - b*f**4.
2*(f - 1)**3*(f + 1)**2/9
Let l(b) be the third derivative of -b**8/2352 - b**7/735 + b**5/210 + b**4/168 - 7*b**2. Let l(i) = 0. Calculate i.
-1, 0, 1
Determine n so that -1/2 + 1/2*n**3 - 11/6*n - 5/6*n**2 = 0.
-1, -1/3, 3
Let z = -11 + 13. Factor -2*q - q - q**2 - 2*q**z.
-3*q*(q + 1)
Suppose 2*l + 14 = 4*a, 4*l - 3*a + 13 = -40. Let h = -15 - l. Determine f, given that -1/3 + 1/3*f**h - 1/3*f**3 + 1/3*f = 0.
-1, 1
Determine l so that 0*l + 1/2*l**3 - 1/3*l**2 + 5/6*l**4 + 0 = 0.
-1, 0, 2/5
Let 2/9*t + 0 + 2/9*t**5 + 8/9*t**2 + 4/3*t**3 + 8/9*t**4 = 0. Calculate t.
-1, 0
Let u = 0 - 3. Let r = -1 - u. Determine t so that 0*t + 2*t**r + 0*t**2 - t - t**3 = 0.
0, 1
Let d(b) = -b + 0 + 2*b - 8. Let g be d(8). Factor 0*o + 1/2*o**2 + g.
o**2/2
Let h(f) be the second derivative of -f**5/15 + f**3/6 - f**2/6 + 5*f. Suppose h(c) = 0. What is c?
-1, 1/2
Let q be (-25)/(-9) + (-12)/(-54). Factor -12*y - y**4 + 18*y**2 - 12*y**3 + 4*y**4 + q + 0*y**4.
3*(y - 1)**4
Let y(c) be the first derivative of 3 + 2/27*c**3 + 0*c**2 - 1/18*c**4 - 2*c + 1/90*c**5. Let o(j) be the first derivative of y(j). Factor o(n).
2*n*(n - 2)*(n - 1)/9
Let d(s) be the second derivative of 2*s**6/15 + s**5/30 - s**4/18 - 2*s. Factor d(t).
2*t**2*(2*t + 1)*(3*t - 1)/3
Let h(t) be the third derivative of 0*t**3 - 1/90*t**5 + 1/18*t**4 + 0*t + 4*t**2 + 0. Factor h(m).
-2*m*(m - 2)/3
Let q(r) = -r**2. Let t(w) = 4*w**2 - 3*w + 2. Let l = -1 + 2. Let j(s) = l*t(s) + 3*q(s). Factor j(m).
(m - 2)*(m - 1)
Factor -3/2 + 3/2*f**2 + 1/2*f**3 - 1/2*f.
(f - 1)*(f + 1)*(f + 3)/2
Let 3/2*d**2 + 9/2 - 6*d = 0. What is d?
1, 3
Let b(g) be the first derivative of 4*g**6/9 + 34*g**5/15 + 14*g**4/3 + 44*g**3/9 + 8*g**2/3 + 2*g/3 - 6. Find y, given that b(y) = 0.
-1, -1/4
Let w = 6/731 + 75898/15351. Let y = -14/3 + w. Determine l so that 0 - 4/7*l**2 - y*l**3 - 2/7*l = 0.
-1, 0
Let w(n) = -n**5 + n**2 - n. Let u(c) = 6*c**5 - 11*c**4 + 5*c**3 + 2*c. Let g(x) = -2*u(x) - 4*w(x). Determine s, given that g(s) = 0.
-1/4, 0, 1, 2
Let t(y) be the second derivative of -y**4/24 + 5*y**3/12 - 15*y. Solve t(k) = 0 for k.
0, 5
Let y(p) be the second derivative of p**4/48 - p**3/24 - p**2/4 + 12*p. Let y(b) = 0. What is b?
-1, 2
Let y(m) be the second derivative of m**7/168 + 3*m**6/40 + 3*m**5/8 + 23*m**4/24 + 11*m**3/8 + 9*m**2/8 + 4*m. Let y(n) = 0. What is n?
-3, -