. Calculate m.
-2/7, 0, 1
Let l(b) = -b**3 - 5*b + 3. Let h be l(0). Factor 3/4*y**3 + 0*y**2 - h*y**4 + 9/4*y**5 + 0 + 0*y.
3*y**3*(y - 1)*(3*y - 1)/4
Let p(i) = 5*i - 7. Let u be p(2). Let z(v) be the third derivative of 0*v**4 + 0 + 0*v + 0*v**6 + 0*v**u + 0*v**5 + v**2 - 1/420*v**7. Factor z(h).
-h**4/2
Let l be 1222*((-17884)/5960 + 3). Let s = -3/149 - l. Factor t**2 - 1/5*t**3 + s - 8/5*t.
-(t - 2)**2*(t - 1)/5
Factor 18/7*y**2 - 54/7*y + 54/7 - 2/7*y**3.
-2*(y - 3)**3/7
Let g(p) be the first derivative of 3*p**4/4 + 5*p**3/2 + 3*p**2 + 3*p/2 + 9. Factor g(w).
3*(w + 1)**2*(2*w + 1)/2
Let x = 94 - 92. Let n(g) be the first derivative of 1 + 2*g**3 + 2*g - 1/2*g**4 - 3*g**x. Suppose n(y) = 0. What is y?
1
Let m(d) be the second derivative of d**7/189 - 2*d**6/135 + d**4/27 - d**3/27 + 4*d. Factor m(f).
2*f*(f - 1)**3*(f + 1)/9
Suppose 4*x - 5 = 3*h + 4, 3*x - 2*h - 7 = 0. Suppose 4*o = -4*g, o - 8 = 3*g - 8*g. Factor k**4 + 0*k**4 + 2*k**g - 2 + x - 4*k**2.
(k - 1)**2*(k + 1)**2
Suppose -2/9*y**2 - 2/9*y + 4/9 = 0. What is y?
-2, 1
Let p(b) = -b. Let i be p(-4). Suppose -13*v + 32 = 3*v. Factor -1/2 - 3*f**2 + 2*f - 1/2*f**i + v*f**3.
-(f - 1)**4/2
Let p = 451 - 13529/30. Let d(s) be the third derivative of -3*s**2 - 1/21*s**7 - 1/20*s**6 + 0*s + 0 + 0*s**3 - 1/84*s**8 + p*s**5 + 1/12*s**4. Factor d(m).
-2*m*(m + 1)**3*(2*m - 1)
Let v(z) be the third derivative of z**10/151200 - z**9/20160 + z**8/10080 + z**5/20 - 3*z**2. Let m(l) be the third derivative of v(l). Factor m(b).
b**2*(b - 2)*(b - 1)
Let c(b) be the third derivative of b**7/1050 - b**5/150 + b**3/30 + 13*b**2. Factor c(m).
(m - 1)**2*(m + 1)**2/5
Let d(l) be the second derivative of -1/12*l**2 + 0*l**3 + 1/72*l**4 + 2*l + 0. Factor d(v).
(v - 1)*(v + 1)/6
Let k be (-1 + -3)*(-6 - (-350)/60). Determine i so that 2/3*i - k*i**3 + 1/3 + 0*i**2 - 1/3*i**4 = 0.
-1, 1
Let l(y) be the first derivative of -2*y**6/3 - 36*y**5/5 - 13*y**4 + 60*y**3 + 100*y**2 - 45. Determine z, given that l(z) = 0.
-5, -1, 0, 2
Let y(q) = -6*q**4 + 8*q**3 - 4*q**2 - 4*q + 4. Let w(c) = c**4 - c**3 + c**2 + c - 1. Suppose -1 = -4*s - 17. Let z(n) = s*w(n) - y(n). Factor z(g).
2*g**3*(g - 2)
Let m(z) be the third derivative of 0 + 1/3*z**4 - z**2 + 1/5*z**5 + 1/15*z**6 + 1/105*z**7 + 1/3*z**3 + 0*z. Solve m(f) = 0.
-1
Suppose -3*d = 2*d - 10. Let v be 18/3 + -3 + d. Determine b so that -v*b - 6 - 3*b**2 + 3*b**4 + 3*b**4 - 4*b + 3 + 9*b**3 = 0.
-1, -1/2, 1
Let o be (-1)/(-1) - (-1 + 0). Factor -2*a**2 + 0*a**o - a**2 + 0*a**2 + 3*a.
-3*a*(a - 1)
Factor 0*g**2 + 2/3*g**4 + 0 + 0*g + 2/3*g**3.
2*g**3*(g + 1)/3
Let n(b) be the third derivative of -b**8/168 + 5*b**2. Factor n(p).
-2*p**5
Let z be -3 - (-3 + (-3)/(-3) - 4). Let w be -1 + (-63)/(-12) + 1. What is m in -43/4*m**z + w*m**2 + 3/4*m - 1/2 + 21/4*m**4 = 0?
-2/7, 1/3, 1
Suppose -69*o - 24 = -75*o. Let f(u) be the first derivative of -3*u + o + 0*u**2 + 2*u**3 + 0*u**4 - 3/5*u**5. Let f(s) = 0. What is s?
-1, 1
Let g(m) = -4*m. Let r be g(-2). Suppose -4*v + r = -0. Factor -1 - 11 + 4*k + 15*k**v + 20*k.
3*(k + 2)*(5*k - 2)
Let d(x) be the second derivative of -x**5/5 + 2*x**4/3 - 2*x**3/3 + 7*x. Suppose d(r) = 0. What is r?
0, 1
Let b(f) = -4*f + 6. Let r(t) = -9*t + 13. Let n(m) = -5*b(m) + 2*r(m). Let k be n(2). Let 0*o + 0*o**3 + 0*o**2 + k - 2/5*o**4 - 2/5*o**5 = 0. Calculate o.
-1, 0
Let z be 3 - (2 + (-8)/4). Let g(q) be the third derivative of 17/30*q**4 + 19/30*q**5 + 0*q + q**2 + 4/15*q**z + 0 + 7/24*q**6. Suppose g(c) = 0. Calculate c.
-2/5, -2/7
Let b(h) be the third derivative of -2*h**7/105 + h**6/10 - h**5/15 - h**4/2 + 4*h**3/3 + 3*h**2. Factor b(v).
-4*(v - 2)*(v - 1)**2*(v + 1)
Let d be ((-18)/60)/(1/(-25)). Factor -3/2*f**2 + 0*f + 0 + d*f**4 + 3/2*f**3 + 9/2*f**5.
3*f**2*(f + 1)**2*(3*f - 1)/2
Let v(z) be the third derivative of z**5/24 + 5*z**4/24 - 5*z**3/4 + 16*z**2. Let v(q) = 0. Calculate q.
-3, 1
Let w = -577/4 + 145. Suppose -4 = 3*h - 5*h. Find k, given that -9/4*k + 3/4*k**5 + 3/2*k**h + w - 9/4*k**4 + 3/2*k**3 = 0.
-1, 1
Let c be -3 + 3 - (-1)/5. Let t(b) be the first derivative of -2/15*b**3 + 3 - 2/25*b**5 + 0*b + 0*b**2 + c*b**4. Let t(s) = 0. Calculate s.
0, 1
Let v(b) be the first derivative of b**4 + 10*b**3/3 - 4*b**2 - 6*b - 37. Factor v(l).
2*(l - 1)*(l + 3)*(2*l + 1)
Let s = -15 - -17. Let b(w) be the second derivative of 2*w + 0*w**4 + 0 - 1/70*w**5 + 0*w**3 + 0*w**s. Suppose b(j) = 0. What is j?
0
Let i(w) = w**2 + 14*w. Let f be i(-14). Suppose 0*t**2 - 4/7*t**3 + f*t + 0 - 10/7*t**4 = 0. What is t?
-2/5, 0
Suppose -2*q = 2*s - 10, -q = 2*q + 6. Determine k, given that -4 - 504*k**3 + 219*k**2 + s - 8*k - 34*k + 432*k**4 = 0.
1/4, 1/3
Let x = 79 - 77. Solve 2/11*r + 0 + 2/11*r**3 + 4/11*r**x = 0 for r.
-1, 0
Let b be 0*(10/(-4) + 2). Let j be 1 + 4 + (b - 2). Solve 0*g**2 + 4*g**j - 3*g**3 + g**2 = 0.
-1, 0
What is n in 7*n**3 - 3*n**3 - 3*n**3 = 0?
0
Let b = 242/185 - 4/37. Factor -4/5*z + 8/5*z**3 + 2/5 - b*z**2 + 8/5*z**4.
2*(z + 1)**2*(2*z - 1)**2/5
Let u = -4 - -10. Let h(z) = -2*z**4 + 4*z**3 + 2*z**2 - 4*z. Let a(w) = -2*w**4 + 3*w**3 + 2*w**2 - 3*w. Let n(m) = u*a(m) - 5*h(m). What is q in n(q) = 0?
-1, 0, 1
Let b = 2178/5 - 434. Factor 16/5*t**2 + 1/5 - b*t.
(4*t - 1)**2/5
Let n(f) be the first derivative of 4/3*f**6 + 15/2*f**4 + f**2 + 0*f - 14/3*f**3 - 26/5*f**5 + 4. What is d in n(d) = 0?
0, 1/4, 1
Let s = 2 - -4. Determine g, given that -4*g**2 - g**2 + s*g**2 = 0.
0
Let a = -15 + 15. Factor 4*c**3 + 38*c**2 + 96*c + a*c - 128 + 192 - 2*c**2.
4*(c + 1)*(c + 4)**2
Suppose 12*d - 10*d = 4. Let f be 20/(-12) + d - 0. Find j such that 2/3 - f*j - 1/3*j**2 = 0.
-2, 1
Let h(i) = -i**3 - 5 - i**4 + 7*i**4 + 5. Suppose 5 = 5*k - 4*k. Let t(n) = 5*n**4 - n**3. Let c(b) = k*t(b) - 4*h(b). Factor c(m).
m**3*(m - 1)
Let q be ((-4)/3)/((-4)/42). Let f(s) = s**2 - 15*s + 16. Let n be f(q). Factor -1/2*z**n - 1/2*z + 0.
-z*(z + 1)/2
Suppose -p = 3 - 5. Factor -200*g**3 - 178*g**2 - 37*g - 32*g**p - 35*g - 8.
-2*(4*g + 1)*(5*g + 2)**2
Let h be (-48)/(-14) + 32/56. Let n(a) be the first derivative of -2/3*a + 2/9*a**3 - 1/3*a**2 - 1 + 1/6*a**h. Factor n(q).
2*(q - 1)*(q + 1)**2/3
Let u = 39 + -39. Suppose -2/3 + u*l + 2/3*l**2 = 0. Calculate l.
-1, 1
What is b in -2*b**3 + 0*b + 4/3*b**2 + 2/3*b**4 + 0 = 0?
0, 1, 2
Let i = -3268/5 + 656. Let d be 9/(-5)*(54 + -55). Factor d*p + i*p**2 - 3/5.
3*(p + 1)*(4*p - 1)/5
Let n(i) = -i + 2. Let u be n(2). Suppose 15 = -3*z - 5*a, u = -z - 5*a - 19 + 4. Factor 0*r**3 + z + 2/7*r**4 + 0*r - 2/7*r**2.
2*r**2*(r - 1)*(r + 1)/7
Suppose 3*d - 38 = -26. Let v(o) be the second derivative of -1/24*o**3 + 1/24*o**d + 1/168*o**7 - 1/60*o**6 - o + 0 + 0*o**2 + 0*o**5. Factor v(b).
b*(b - 1)**3*(b + 1)/4
Let x = 10 + -6. Suppose x*a - 10 = 6. Factor 6*n**3 - 5*n + 4 - 12*n**2 - 2*n**2 + 11*n**4 - n - n**a.
2*(n - 1)*(n + 1)**2*(5*n - 2)
Solve 2/3*k**4 + 0 + 8/3*k**2 - 8/3*k**3 + 0*k = 0 for k.
0, 2
Let h(y) = -y**2 - 5*y + 4. Suppose 4*v - 38 = 2*b - 10, -4*v - 5*b = 0. Let q(j) = j**2 + 6*j - 4. Let w(a) = v*q(a) + 6*h(a). Factor w(m).
-(m - 2)*(m + 2)
Let i(f) be the first derivative of -4*f**6/3 + 26*f**5/5 - 15*f**4/2 + 14*f**3/3 - f**2 + 10. Factor i(s).
-2*s*(s - 1)**3*(4*s - 1)
Factor 37/6*t - 26*t**2 - 32/3*t**4 - 1/2 + 40*t**3.
-(t - 3)*(4*t - 1)**3/6
Let y(d) = 16*d - 61. Let g be y(4). Factor 0 + 0*u + 1/7*u**g - 2/7*u**2 + 4/7*u**4 - 3/7*u**5.
-u**2*(u - 1)**2*(3*u + 2)/7
Let x = 8 - 3. Let k(i) be the third derivative of 1/36*i**4 - 1/18*i**3 + 0*i + 0 + 1/630*i**7 - 1/180*i**6 - 2*i**2 + 0*i**x. Let k(u) = 0. What is u?
-1, 1
Let b = 1 + -3. Let p be (3/(-6))/(b/12). What is t in p - 4*t - 5 + t**2 + 3*t = 0?
-1, 2
Let y = -549 + 551. Solve 0*o**3 + 0*o + 3/5*o**y + 0 - 3/5*o**4 = 0 for o.
-1, 0, 1
Let m(g) be the first derivative of g**4/4 - 2*g**3/3 + 5. Solve m(j) = 0 for j.
0, 2
Let s(y) be the first derivative of 0*y + 0*y**3 + 3/2*y**2 - 2 - 1/36*y**4 - 1/45*y**5. Let x(w) be the second derivative of s(w). What is j in x(j) = 0?
-1/2, 0
Let x(h) be the second derivative of h**7/63 - 2*h**6/45 + h**4/9 - h**3/9 - 6*h. Factor x(d).
2*d*(d - 1)**3*(d + 1)/3
Let n(l) be the third derivative of l**8/3360 - l**7/1260 - l**4/24 - 2*l**2. Let b(j) be the second der