ctor l(s).
(s - 1)**3/4
Let t(m) be the second derivative of m**6/60 - 4*m**5/15 + 4*m**4/3 + 10*m**2 + 21*m. Let w(i) be the first derivative of t(i). What is a in w(a) = 0?
0, 4
Let r be (-84)/(-126) + -1 + (-26)/(-6). Suppose -r*h + 2*o + 4 = 0, -h + o = -3*h + 10. Solve 0 - 1/6*f**h - 1/6*f**2 + 0*f = 0 for f.
-1, 0
Let 3/2*v**4 + 1/2*v**3 - v - 3/2*v**2 + 1/2*v**5 + 0 = 0. What is v?
-2, -1, 0, 1
Suppose 0 = z + 17*z - 54. Let b(r) be the third derivative of -4*r**2 + 1/6*r**z + 1/240*r**5 + 0 + 0*r - 1/24*r**4. Factor b(v).
(v - 2)**2/4
What is f in 0 + 4*f**2 - 1/4*f**3 - 1/4*f**4 - 5*f = 0?
-5, 0, 2
Let i = 31 + -31. Let c(t) be the second derivative of 5*t + 1/10*t**5 + 0*t**2 + 0 + i*t**3 + 0*t**4. Let c(n) = 0. What is n?
0
Let b be ((-3)/(-4))/((-54)/(-216)). Factor 2/3*m - 2/9*m**b + 0*m**2 - 4/9.
-2*(m - 1)**2*(m + 2)/9
Let w be (-16)/4 + 1 + 3. Suppose 0 = -4*j + 4 + 4. Solve -5*f**j + f**2 + 2 + 7*f + w*f**2 = 0 for f.
-1/4, 2
Let k = -154318/9 - -17152. Factor 32/9*a**5 + k*a**3 - 80/9*a**4 + 10/9*a**2 - 10/9*a - 2/9.
2*(a - 1)**3*(4*a + 1)**2/9
Factor -21/2*o**4 - 12*o + 0 - 54*o**2 - 45*o**3.
-3*o*(o + 2)**2*(7*o + 2)/2
Let n(g) = -g - 6. Let j be n(-14). Suppose -j*r = -9*r + 5*v + 23, -8 = -4*r - v. Factor 2/5*k**r - 2/5*k**2 + 0 + 0*k.
2*k**2*(k - 1)/5
Let m(d) be the second derivative of 16/27*d**4 + 0*d**2 - 14/135*d**6 - 2*d + 0 - 8/27*d**3 - 1/9*d**5. Let m(x) = 0. Calculate x.
-2, 0, 2/7, 1
Let z = 352 + -1395/4. Determine t, given that 15/4*t + z*t**2 + 1/2 = 0.
-1, -2/13
Let h(o) be the second derivative of -1/3*o**4 + 0 - 21*o - 14/3*o**3 + 16*o**2. Factor h(d).
-4*(d - 1)*(d + 8)
Suppose 13*c = 6*c. Let z be c - ((-24)/110 + (-10)/55). Determine u, given that -z*u**2 - 2/5*u**3 + 2/5 + 2/5*u = 0.
-1, 1
Suppose -3*v - 35 = 5*h - 5, 4*v - 6 = h. Let d be ((-39)/(-104))/(h/(-8)). Factor 1/2*a**3 + 0 + 1/2*a**2 - d*a - 1/2*a**4.
-a*(a - 1)**2*(a + 1)/2
Let i(q) = -q + 5. Let u be i(3). Suppose -6*n + 2*n**u + 2*n**2 + 3 + 6*n**2 - 7*n**2 = 0. Calculate n.
1
Determine l so that -142/13*l**2 - 8/13*l**3 - 38/13 + 188/13*l = 0.
-19, 1/4, 1
Suppose 7*l + 15 = 4*l. Let q be 6/l*25/(-10). Determine z, given that -2/5*z**4 - 18/5*z**2 + 2*z**q - 4/5 + 14/5*z = 0.
1, 2
Determine z, given that -16/5 + 2*z - 1/5*z**2 = 0.
2, 8
Let n be (-6)/(8/2 + -6). Find j such that -104*j**n - 26*j + 96*j**2 - 13*j**5 - 6 + 56*j**4 + j**5 - 18*j + 14 = 0.
2/3, 1
Let c(n) = -6*n - 24. Suppose 0 = -b - 4*x - 8, -b - 4 = 2*x + 2. Let h be c(b). Let h*z**3 - 1/2*z**4 + 5/4*z**5 + 0*z + 0 + 0*z**2 = 0. What is z?
0, 2/5
Factor -12/5*o**3 + 153/5*o**2 + 39/5*o + 0.
-3*o*(o - 13)*(4*o + 1)/5
Let m be (10/(-3))/((-4)/6). Suppose q - v = 17, 3*v - 6*v - 79 = -m*q. Factor q*g**2 - 8*g**2 - 3*g**4 + 15*g**4 - 15*g**3 - 3*g**5.
-3*g**2*(g - 2)*(g - 1)**2
Let y(d) = 10*d**4 + 10*d**3 - 5*d**2 - 20*d + 5. Let g(c) = -11*c**4 - 9*c**3 + 5*c**2 + 21*c - 6. Let m(h) = -5*g(h) - 6*y(h). Factor m(n).
-5*n*(n - 1)*(n + 1)*(n + 3)
Let k be 111/15 + -123 + 117. What is l in -1/5 - k*l**2 - 8/5*l = 0?
-1, -1/7
Determine z, given that -2/7*z**2 - 6/7*z**3 + 0*z + 6/7*z**5 + 2/7*z**4 + 0 = 0.
-1, -1/3, 0, 1
Suppose -4*w = t - 141, -4*w - t = -3*t - 138. Factor 11*l**3 - 86*l**4 + 15*l + 81*l**4 - w*l**2 + 14*l**3.
-5*l*(l - 3)*(l - 1)**2
Let s(c) = 9*c**2 + 21*c + 7. Let w = 79 + -84. Let a(g) = -4*g**2 - 10*g - 4. Let v(f) = w*a(f) - 2*s(f). Solve v(b) = 0.
-3, -1
Let i(c) = -c**3 - 6*c**2 - 5*c + 6. Let y be i(-5). Let q = 4 + y. Factor -2*l**2 - l**2 - q*l + l.
-3*l*(l + 3)
Let g be 2 + 0 + 4 + -3. Factor -4*m**g - 12*m**2 - 4*m**3 - 4*m**4 - 3*m**3 - 5*m**3.
-4*m**2*(m + 1)*(m + 3)
Factor -4802/3 - 1/6*h**2 - 98/3*h.
-(h + 98)**2/6
Let s(f) be the third derivative of 0 + 24*f**2 - 1/120*f**5 - 1/6*f**3 + 1/16*f**4 + 0*f. Determine w, given that s(w) = 0.
1, 2
Let y(p) be the second derivative of -2*p**6/15 + 3*p**5/5 + 5*p**4 + 34*p**3/3 + 12*p**2 - 21*p - 5. Factor y(i).
-4*(i - 6)*(i + 1)**3
Let j = 8/5 - -4/35. Let p be (-854)/(-441) - (-2)/(-9). Find z, given that 3/7*z**2 + p + j*z = 0.
-2
Let z be (-3 - -1 - -4) + 1. Factor j**2 - 2*j**2 - z*j**2 + 16.
-4*(j - 2)*(j + 2)
Let h(r) be the third derivative of 0*r + 2*r**2 - 5/24*r**4 + 0 + 1/30*r**5 - 1/2*r**3. What is u in h(u) = 0?
-1/2, 3
Suppose -9 = -3*m, 54 = -3*n + 7*n + 2*m. Suppose -5*h + n - 2 = 5*j, 0 = 2*j + 5*h - 1. Factor c**5 - 2*c**j + 3*c**2 + c + c**4 - c**2 + 1 - 4*c**2 + 0*c**3.
(c - 1)**2*(c + 1)**3
Let o be 4528/576 + (-2)/18 + -4. Let s be (0 + 0)*1/2. Factor 3/4*a**5 + o*a**3 + 3/2*a**2 + 0*a + s + 3*a**4.
3*a**2*(a + 1)**2*(a + 2)/4
Determine f so that -252*f**3 - 36*f**5 - 73*f**3 - 200*f**4 + f**5 - 109*f**2 + 40*f + 9*f**2 + 20*f = 0.
-3, -2, -1, 0, 2/7
Let l(m) be the third derivative of -m**6/40 - m**5/5 - m**4/2 + 2*m**2 - 11. Factor l(s).
-3*s*(s + 2)**2
Let h(l) be the second derivative of l**5/20 - 3*l**4 + 72*l**3 + 3*l**2/2 - l - 7. Let f(c) be the first derivative of h(c). Find v, given that f(v) = 0.
12
Suppose 4*b = -5*c - 5*b + 24, 0 = 2*c + 2*b - 8. Factor -1/2*m**2 - 1/2*m + c.
-(m - 2)*(m + 3)/2
Let y = 499 - 164669/330. Let x(i) be the third derivative of -y*i**5 + 0*i + 3*i**2 + 1/33*i**3 + 0 + 0*i**4. Factor x(v).
-2*(v - 1)*(v + 1)/11
Let g(i) be the third derivative of i**7/189 + 143*i**6/135 + 5491*i**5/90 + 361*i**4/6 + 48*i**2 - 3. Let g(j) = 0. Calculate j.
-57, -2/5, 0
Let n be (1 + -7)*(91/14)/(-13). Factor 3*r**4 - 16*r**n - r**4 + 2*r**5 + 12*r**3.
2*r**3*(r - 1)*(r + 2)
Let t(r) = -r**4 + r**3 - 1. Let l(u) be the third derivative of u**6/15 - u**5/6 + u**4/12 - 5*u**3/3 + 11*u**2. Let z(s) = l(s) - 10*t(s). Factor z(h).
2*h*(h - 1)*(h + 1)*(5*h - 1)
Suppose 0 = -10*d + 14*d - 36. Let w(s) = -s**2 + 9*s + 3. Let b be w(d). Factor 4*q + 6*q**4 + 2 + 0 + q**5 + 5*q + 16*q**2 + 14*q**b.
(q + 1)**4*(q + 2)
Let y(q) be the first derivative of q**4/8 + q**3/2 + q**2/2 + 12. Determine c so that y(c) = 0.
-2, -1, 0
Let h(w) be the second derivative of -w**4/12 - 19*w**3/2 + 29*w**2 + 6*w + 11. Suppose h(d) = 0. Calculate d.
-58, 1
Let n(a) be the third derivative of 2/315*a**7 + 3*a**2 + 0*a**4 - 2/45*a**6 + 0 + 0*a + 1/15*a**5 + 0*a**3. Factor n(z).
4*z**2*(z - 3)*(z - 1)/3
Let s = -13 + 23. Suppose 5*t = -5*v, -17*t + 4*v = -20*t - 2. What is m in 8/3 + 8/3*m - s*m**t = 0?
-2/5, 2/3
Let m(s) be the second derivative of 3/20*s**5 + 0*s**3 + 6*s**2 + s - 7/4*s**4 - 32 + 3/10*s**6 - 1/14*s**7. Find w such that m(w) = 0.
-1, 1, 2
Suppose 18 = -14*l + 17*l. Let v(x) be the first derivative of 2/3*x**l + 1/3*x**3 - x**4 + 0*x**2 - 1/5*x**5 + 0*x + 2. Factor v(h).
h**2*(h - 1)*(h + 1)*(4*h - 1)
Let u = 52 + -52. Let z(w) be the second derivative of 0*w**3 + u - 1/15*w**6 - 1/21*w**4 + 0*w**2 - w + 9/70*w**5. Factor z(n).
-2*n**2*(n - 1)*(7*n - 2)/7
Let c(i) be the first derivative of -3*i**5/5 + 15*i**4/4 + 8*i**3 - 18*i**2 - 151. Suppose c(o) = 0. What is o?
-2, 0, 1, 6
Let w(q) = 12*q**4 + 9*q**3 + 12*q**2 - 11*q + 10. Let z(a) = -2*a**4 - a**3 - 1. Let c(y) = -3*w(y) - 24*z(y). Factor c(o).
3*(o - 1)**2*(o + 2)*(4*o - 1)
Let k = 24 + -9. Factor 10*q - 10 + k - 5 + 25*q**2.
5*q*(5*q + 2)
Let t be (18/(-15))/(3/20). Let h(d) = -17*d**3 + d**2 + 9*d - 17. Let v(s) = 11*s**3 - s**2 - 6*s + 11. Let w(m) = t*v(m) - 5*h(m). Factor w(o).
-3*(o - 1)**2*(o + 1)
Let a(d) be the first derivative of 5*d**4/4 + 680*d**3/3 + 11560*d**2 + 261. Let a(l) = 0. Calculate l.
-68, 0
Let i(j) be the first derivative of j**4/2 - 8*j**3/9 + 4*j**2/9 + 121. Factor i(l).
2*l*(3*l - 2)**2/9
Let 35*d**3 - 23 + 3 - 40*d - 37*d**4 - 5*d**2 + 5*d**5 + 62*d**4 = 0. Calculate d.
-2, -1, 1
Suppose 3*m + 3 = 0, 3*l + 3*m + 0*m - 3 = 0. Suppose 3 = 2*c + v, 4*v + v + 9 = l*c. Suppose g**4 + 3*g**3 - g + 18*g**c + 2*g - 15*g**2 = 0. Calculate g.
-1, 0
Let x = 113/19 - 546/95. Determine v so that 3/5*v + x*v**2 + 2/5 = 0.
-2, -1
Suppose 2*t + 4*r - 20 = -0*r, 0 = t + 5*r - 19. Suppose -t*h + 20 = -24. Factor -18*i - 8*i**3 + 7*i + h*i - 6*i**4 - 2*i**2.
-2*i**2*(i + 1)*(3*i + 1)
Let c(g) = -269*g - 6451. Let v be c(-24). Find t, given that -4/7*t**3 - 8/7*t**4 + 0*t + 4/7*t**v + 8/7*t**2 + 0 = 0.
-1, 0, 1, 2
Let w = 90 - 87. Let m(k) be the second derivative of 0 + 0*k**2 - 2*k - 1/21*k**w - 1/