 is m?
-1, 1/4, 1
Let y(j) = -19*j**2 - 29*j + 8. Let l(t) = 9*t**2 + 14*t - 4. Let b(v) = -5*l(v) - 2*y(v). Let b(o) = 0. What is o?
-2, 2/7
Let t(z) be the third derivative of z**6/300 - z**5/75 - z**4/60 + 2*z**3/15 + 19*z**2. Factor t(m).
2*(m - 2)*(m - 1)*(m + 1)/5
Let b be 0 - (4 + (-9)/3). Let i be b/((-1)/3)*1. Solve -2/7*d**4 + 0*d + 0*d**i + 0*d**2 + 0 = 0.
0
Let k(f) be the first derivative of 3*f**5/25 - f**3/5 - 8. Factor k(s).
3*s**2*(s - 1)*(s + 1)/5
Let g be (4 + 8/(-2))/(-3 - -1). Let z(o) = -o**3 + 3. Let u be z(0). Factor 1/4*i**u + g + 0*i + 1/4*i**2.
i**2*(i + 1)/4
Determine l so that -7*l**3 - 3 + 14*l - 4*l**2 - 5*l**3 - 4*l**4 + 11 - 2*l = 0.
-2, -1, 1
Let n(t) be the first derivative of t**3/4 - 3*t + 14. Factor n(r).
3*(r - 2)*(r + 2)/4
Let o be (-20)/24 - (-15)/10. Let f(n) be the first derivative of -1/3*n**2 + 1/5*n**5 - o*n**4 + 1 + 0*n + 7/9*n**3. Solve f(l) = 0.
0, 2/3, 1
Let q(m) be the first derivative of -m**6/240 + m**5/20 - m**4/4 + 2*m**3/3 + 3*m**2 - 7. Let u(r) be the second derivative of q(r). Factor u(z).
-(z - 2)**3/2
Let h(i) = -1 - 2 + 2*i - 1 - 3. Let t be h(5). Solve 4*n + 10*n**2 + 5*n - 5*n - 3*n**3 + 9*n**t = 0 for n.
-1, -2/3, 0
Let r(s) be the second derivative of s**10/60480 - s**8/13440 - 2*s**4/3 + 8*s. Let y(x) be the third derivative of r(x). Find i, given that y(i) = 0.
-1, 0, 1
Let y(r) = 10*r**3 - 10*r. Let f(g) = -2*g**3 + 2*g. Let c(o) = 22*f(o) + 4*y(o). Find u, given that c(u) = 0.
-1, 0, 1
Let y = 7513/24 + -313. Let x(f) be the second derivative of f + 0 - y*f**3 + 0*f**2 - 1/80*f**5 - 1/24*f**4. Find m such that x(m) = 0.
-1, 0
Suppose -3*g = 1 - 7. Let b be 0 + (g - -3) + -2. Suppose b*u**3 - u**3 + u**4 + 4*u**3 - 5*u**3 = 0. What is u?
-1, 0
Let z(k) = k + 4. Let x(u) = -4. Let n(t) = 4*x(t) + 3*z(t). Let r be n(2). Factor 2/3 - h - 5/3*h**r.
-(h + 1)*(5*h - 2)/3
Let l(b) = 25*b**3 + 25*b**2 - 90*b - 40. Let o(c) = -2*c**3 - 2*c**2 + 7*c + 3. Let u(a) = -3*l(a) - 40*o(a). Let u(q) = 0. Calculate q.
-2, 0, 1
Suppose -v + 10 = 4*v. Let s be 4/7*63/27. Factor 0*m**v - s*m**3 + 2/3 + 4/3*m - 2/3*m**4.
-2*(m - 1)*(m + 1)**3/3
Let k(a) be the second derivative of -a**4/60 - a**3/15 + 3*a**2/10 + 7*a. Let k(o) = 0. What is o?
-3, 1
Let i(q) be the first derivative of -3*q**4/28 - 12*q**3/7 - 26. Factor i(k).
-3*k**2*(k + 12)/7
Let u be (-10)/3*6/(-30). Factor -2 - 8/3*s - u*s**2.
-2*(s + 1)*(s + 3)/3
Let y(z) be the second derivative of z**4/4 - 3*z**2/2 - 6*z. Determine a so that y(a) = 0.
-1, 1
Suppose -3*j + 4*j = -4*c + 15, 0 = 2*j + 3*c - 15. Find z such that 3*z**2 + 3/2*z**j + 0 + 3/2*z = 0.
-1, 0
Factor -16*v - 4 - 2*v**2 + 4.
-2*v*(v + 8)
Let p(f) be the second derivative of f**6/120 - f**5/20 - f**4/24 + f**3/2 + 9*f**2/8 - 14*f. Factor p(x).
(x - 3)**2*(x + 1)**2/4
Let p be 156/91*-1*42/(-4). Factor 6*a**3 + 27/2*a + 3 + p*a**2.
3*(a + 2)*(2*a + 1)**2/2
Factor -3/2*y**2 - 3/2*y**3 + 0 + 0*y.
-3*y**2*(y + 1)/2
Let h(c) be the third derivative of c**8/168 - c**7/105 - c**6/60 + c**5/30 + 5*c**2. Factor h(k).
2*k**2*(k - 1)**2*(k + 1)
Let v be (-2 - 18/(-10))/(56/(-350)). Solve -v*h**2 + 2*h + 1/4*h**3 - 1 = 0.
1, 2
Let b(d) be the third derivative of d**9/20160 + d**8/6720 + d**5/10 + 5*d**2. Let i(m) be the third derivative of b(m). Solve i(w) = 0 for w.
-1, 0
Let b = 6 + 3. Solve 6*n**4 - 3*n**3 - 3*n**5 - 9*n + b*n = 0 for n.
0, 1
Let q(f) = -f + 11. Let p be q(11). Factor -1/2*w + p - 1/2*w**5 - 2*w**4 - 2*w**2 - 3*w**3.
-w*(w + 1)**4/2
Let q(v) = -3*v**2 + 5*v - 16. Let y = 7 - 13. Let u(m) = -m**2 + 2*m - 5. Let n(i) = y*q(i) + 21*u(i). Solve n(h) = 0.
1, 3
Let u(p) = p**4 + p**2 + 1. Let z(s) = -23*s**4 - 30*s**3 - 19*s**2 - 2*s - 5. Let m(j) = 5*u(j) + z(j). Factor m(o).
-2*o*(o + 1)*(3*o + 1)**2
Factor 36/17*t + 2/17*t**2 + 162/17.
2*(t + 9)**2/17
Let s(x) be the second derivative of 0 - 2/9*x**3 + x**2 - x + 1/54*x**4. Suppose s(m) = 0. Calculate m.
3
Let t(u) be the first derivative of -21*u**5/10 + 3*u**4/4 + 7*u**3/2 - 3*u**2/2 - 7. Let t(c) = 0. What is c?
-1, 0, 2/7, 1
Let x(k) be the first derivative of k**4/36 - 2*k**3/9 + k**2/2 + k + 1. Let w(a) be the first derivative of x(a). Determine c so that w(c) = 0.
1, 3
Factor 1/9*n**2 + 1/9*n - 2/9.
(n - 1)*(n + 2)/9
Suppose 3*w + 1 = 2*r - 16, w = 3*r - 15. Let k be 0 + -2 + (-1 - -5). Factor -r*f**5 - 11*f**3 - 2*f**2 + 4*f**k - 3*f**5 + 16*f**4.
-f**2*(f - 1)**2*(7*f - 2)
Let j(k) = -14*k**2 - 6*k - 10. Let m be j(-4). Let t be ((-6)/4)/(m/56). Solve 0*z - 2/5*z**3 + 0*z**2 - t*z**4 + 0 = 0.
-1, 0
Let c(s) be the first derivative of -s**5/25 + 2*s**3/15 - s/5 + 3. Let c(w) = 0. What is w?
-1, 1
Factor 12*b**2 + 15*b + 5 - 3*b**3 + 5 - 4 + 6*b**3.
3*(b + 1)**2*(b + 2)
Factor 1/7*k**2 + 1/7*k + 0.
k*(k + 1)/7
Let r(t) be the first derivative of t**4/2 - t**2 + 20. Let r(b) = 0. Calculate b.
-1, 0, 1
Let q = 1201/1495 - 1/299. Factor -q*a**4 + 4/5*a**2 - 2/5*a**5 + 2/5*a + 0 + 0*a**3.
-2*a*(a - 1)*(a + 1)**3/5
Let j(z) be the third derivative of -1/240*z**5 + z**2 + 0 + 1/48*z**4 + 0*z + 0*z**3. Let j(o) = 0. Calculate o.
0, 2
Let u = 1/9 - -281/63. Let l be (0/(-4 - -2))/(-1). Factor -u*t**5 + 2*t**3 + 0 + l*t - 16/7*t**4 - 2/7*t**2.
-2*t**2*(t + 1)*(4*t - 1)**2/7
Let c = -7/2 + 29/6. Factor -2/3 + 2*i**4 + 4/3*i**3 + 2/3*i**5 - 2*i - c*i**2.
2*(i - 1)*(i + 1)**4/3
Let o(u) be the first derivative of -3/8*u**2 + 3/16*u**4 + 3/20*u**5 - 2 + 0*u - 1/4*u**3. Solve o(z) = 0.
-1, 0, 1
Factor 0*n**3 + 2/5*n + 0 + 4/5*n**4 - 2/5*n**5 - 4/5*n**2.
-2*n*(n - 1)**3*(n + 1)/5
Factor 0*c + 0 - 2/9*c**2 + 2/9*c**3.
2*c**2*(c - 1)/9
Let y(f) = -5*f**4 - 9*f**3 - 7*f**2 - 3*f + 2. Let c(u) = 11*u**4 + 18*u**3 + 13*u**2 + 6*u - 5. Let a = 7 + -5. Let k(m) = a*c(m) + 5*y(m). Factor k(i).
-3*i*(i + 1)**3
Let h = 7 - 5. Let x(p) be the first derivative of 4/21*p**3 + 0*p - 1 - 5/14*p**4 + 0*p**h. Factor x(i).
-2*i**2*(5*i - 2)/7
Let y be (-26)/8 + 1/4. Let m be (y/(-2))/(9/12). Factor 0*q**3 - q**2 - q**3 + m*q**2 - 2*q**2.
-q**2*(q + 1)
Let n(i) be the second derivative of i**8/23520 + i**7/4410 + i**6/2520 - i**4/12 + 8*i. Let b(z) be the third derivative of n(z). Solve b(u) = 0 for u.
-1, 0
Suppose 4*b = 9 + 3. Let d = 77 + -77. Factor d*i**2 - 2/5*i - 1/5 + 1/5*i**4 + 2/5*i**b.
(i - 1)*(i + 1)**3/5
Let z(y) be the second derivative of -y**5/60 + y**4/18 - y**3/18 + 3*y. Factor z(s).
-s*(s - 1)**2/3
Let o(j) be the third derivative of 0*j + 0 + 3*j**2 - j**3 + 1/20*j**5 - 1/8*j**4. Factor o(k).
3*(k - 2)*(k + 1)
Suppose -p = 3*p. Let t be (-3 + -1)*15/(-20). Factor 0*l**2 + p*l**t + 2/3*l**5 + 0*l + 0 + 0*l**4.
2*l**5/3
Let j(h) be the first derivative of h**5/10 + h**4/8 - h**3/3 - 5. What is y in j(y) = 0?
-2, 0, 1
Let l(g) be the third derivative of g**6/180 + g**5/60 + g**3/2 - 3*g**2. Let h(q) be the first derivative of l(q). Factor h(v).
2*v*(v + 1)
Let m(j) be the third derivative of -j**9/10584 + j**8/2940 - j**7/2940 + j**3/3 - 5*j**2. Let u(h) be the first derivative of m(h). Factor u(v).
-2*v**3*(v - 1)**2/7
Suppose i - 272 = -i - 2*d, -2*i + 277 = 3*d. Let f = 657/5 - i. Factor -4/5*z - f - 2/5*z**2.
-2*(z + 1)**2/5
Suppose -6 = -5*u + 2*u. Determine f, given that 4 + 2 - f**2 - 5 - u*f - 2 = 0.
-1
Let b(y) = y**2 + 2*y - 4. Let m be ((-48)/(-20) - 2)*-10. Let o be b(m). Factor 2/7 - 4/7*l + 0*l**2 + 4/7*l**3 - 2/7*l**o.
-2*(l - 1)**3*(l + 1)/7
Let p(b) be the first derivative of b**7/3360 + b**6/1440 - b**5/480 - b**4/96 - 5*b**3/3 + 4. Let j(h) be the third derivative of p(h). Factor j(w).
(w - 1)*(w + 1)**2/4
Suppose -h + 8 = -w, 5 = -5*h + w + 25. What is m in -3*m + 0*m**h + 3*m**3 + 4*m - 4*m**3 = 0?
-1, 0, 1
Factor 0*c**2 + 3*c**3 + 0*c**4 - 3/2*c**5 - 3/2*c + 0.
-3*c*(c - 1)**2*(c + 1)**2/2
Let k(j) be the third derivative of j**8/84 + 2*j**7/105 - j**6/15 - 2*j**5/15 + j**4/6 + 2*j**3/3 - 5*j**2. Factor k(o).
4*(o - 1)**2*(o + 1)**3
Let h(k) = k**3 + k**2 - k. Let g(x) = -6*x**4 + 6*x**3 + 6*x**2 - 3*x. Let t(a) = g(a) - 3*h(a). Let t(n) = 0. Calculate n.
-1/2, 0, 1
Let v(x) be the third derivative of 1/672*x**8 + 0*x + 1/12*x**3 - 1/60*x**5 - 1/120*x**6 + 0 + 1/420*x**7 + 1/48*x**4 + 3*x**2. Suppose v(a) = 0. What is a?
-1, 1
Factor 7/3*z**3 - 1/3*z - 4/3*z**4 + 0 - 2/3*z**2.
-z*(z - 1)**2*(4*z + 1)/