13*k - 6/7*k**2 + 3/28*k**4. Find p such that l(p) = 0.
-2, 1
Let 2/3*u**3 + 5/3 - 1/3*u**4 + 4*u**2 + 14/3*u = 0. Calculate u.
-1, 5
Let w be (-1)/2*-8 + 7 + -8. Suppose -4*j - x - 4*x = -12, -j - 5*x = -w. Factor 0 + 2/7*o**j - 12/7*o**2 + 18/7*o.
2*o*(o - 3)**2/7
Let d be (-628)/(-785)*-5*(-4)/8. Determine f, given that 4/3 + 8/3*f + 4/3*f**d = 0.
-1
Let c(g) = -4*g**2 + 134*g - 5. Let z(u) = 2*u**2 - 68*u + 3. Let f(b) = 3*c(b) + 5*z(b). Solve f(n) = 0 for n.
0, 31
Suppose -28*m + 657 = 517. Factor -1/3*f**4 + 1/3*f**2 + 0 + 1/3*f**3 - 1/3*f**m + 0*f.
-f**2*(f - 1)*(f + 1)**2/3
Let l(r) be the first derivative of -1/2*r - 1/30*r**5 - 2/3*r**3 + 5/6*r**2 + 1/4*r**4 + 20. Factor l(s).
-(s - 3)*(s - 1)**3/6
Let q = -694 - -698. Solve 1/7*u**3 + 1/7*u**q + 0*u + 0 - 2/7*u**2 = 0 for u.
-2, 0, 1
Let c(f) be the second derivative of f**9/15120 - f**8/8400 - f**7/4200 + f**6/1800 - 7*f**3/6 + 7*f. Let b(p) be the second derivative of c(p). Factor b(h).
h**2*(h - 1)**2*(h + 1)/5
Suppose 18 = 4*p + 3*q, -3*q = 125*p - 127*p + 18. Factor 3/8*z**5 + 3*z**4 + 0*z + p*z**3 + 0 + 0*z**2.
3*z**3*(z + 4)**2/8
Let d(q) = 9*q**2 + 149*q - 30. Let c(a) = -4*a**2 - 74*a + 12. Let z(j) = 10*c(j) + 4*d(j). Factor z(l).
-4*l*(l + 36)
Let h(l) be the second derivative of l**5/40 + 3*l**4/8 + 5*l**3/4 + 7*l**2/4 - 82*l. Factor h(b).
(b + 1)**2*(b + 7)/2
Suppose -8*q - 3*q = 3 - 25. Let z = 1/8 + 3/8. Suppose 0 - 1/2*y + z*y**q = 0. What is y?
0, 1
Let g(v) = -8*v**2 + 3*v**3 - v + 14*v**2 + 8 - 4*v**3. Let o be g(6). Factor 14*k + 7*k**2 - 6*k**3 - 6*k - 7*k - o.
-(k - 1)*(2*k + 1)*(3*k - 2)
Let t(c) be the third derivative of -1/24*c**6 + 10/3*c**3 + 4*c**2 + 0 - 1/4*c**5 + 0*c + 0*c**4. Determine f, given that t(f) = 0.
-2, 1
Let v be (3 + 0/(-1))/9. Suppose 2*h = -0*m - 4*m + 8, m - 16 = -4*h. Factor -1/3*g + v*g**3 - 1/3*g**4 + m + 1/3*g**2.
-g*(g - 1)**2*(g + 1)/3
Suppose 5*f - 5 = 5. Factor -9*c**4 + f*c**3 + 9*c - 5*c**3 + 9*c**2 - 6*c.
-3*c*(c - 1)*(c + 1)*(3*c + 1)
Let h(f) be the third derivative of 2/105*f**7 + 0 + 2/3*f**3 - 2/15*f**5 + 1/84*f**8 - 21*f**2 + 0*f + 1/6*f**4 - 1/15*f**6. Solve h(a) = 0.
-1, 1
Let y be (-1)/17 + 1785/867. Let q be (-2)/(-9) - (-71)/45. Factor -q*a - 6/5 - 3/5*a**y.
-3*(a + 1)*(a + 2)/5
Suppose -5*k = 2*b - 22, -k + 10*b + 9 = 15*b. Let 1/8*c**3 + 0 + 1/8*c**k - 1/8*c - 1/8*c**2 = 0. What is c?
-1, 0, 1
Let p be 31803/(-15) + (-14)/(-70). Let k = 19112/9 + p. Factor 42*o**4 + 80*o**2 + 256/9*o + 96*o**3 + k.
2*(3*o + 2)**3*(7*o + 2)/9
Let r(y) = y**3 - 18*y**2 - 86*y + 9. Let i be r(-4). Let x(g) be the first derivative of 4/9*g**3 - i - 8*g + 2/3*g**2. Factor x(l).
4*(l - 2)*(l + 3)/3
Suppose -3*a + 35 = 5*t, 0*t - 8 = 3*t - 4*a. Let m(s) be the second derivative of 1/42*s**t + 0*s**2 + 0 - 2/21*s**3 - 2*s. Factor m(x).
2*x*(x - 2)/7
Suppose 30*g**4 + 5*g**2 - 5*g**5 - 55*g**3 + 29*g**2 - 4*g**2 = 0. Calculate g.
0, 1, 2, 3
Let p(m) be the third derivative of -m**2 + 0*m - 3/100*m**5 + 3/5*m**3 + 0 + 7/40*m**4. Let p(k) = 0. What is k?
-2/3, 3
Factor -2*w**2 + 0*w - 1/2*w**5 - 4*w**3 - 5/2*w**4 + 0.
-w**2*(w + 1)*(w + 2)**2/2
Let f = 434 + -434. Let c(z) be the third derivative of -1/90*z**5 + 4/27*z**3 + 3*z**2 + f*z + 0*z**4 + 0 + 1/540*z**6. Determine u so that c(u) = 0.
-1, 2
Let j = -49 - -53. Let v(b) = -2*b. Let a be v(-1). Let 5*o**j - 8*o**2 + 4*o**a - 7*o - o + 8*o**3 - o**4 = 0. Calculate o.
-2, -1, 0, 1
Let m(x) be the second derivative of 0*x**3 + 0*x**2 - 1/3*x**4 + 1/35*x**5 - 3 + 5*x. Factor m(n).
4*n**2*(n - 7)/7
Let g(t) be the first derivative of 27/20*t**4 + 51/5*t**3 + 12 + 93/10*t**2 + 3*t. Factor g(c).
3*(c + 5)*(3*c + 1)**2/5
Let p(v) = -10*v**4 + v**3 + 67*v**2 - 79*v - 7. Let q(x) = 7*x**4 - x**3 - 45*x**2 + 53*x + 5. Let z(s) = 5*p(s) + 7*q(s). Solve z(m) = 0.
-6, 0, 2
Let s be -4 - 1*(-7)/(-119)*-74. Let o be (-12)/(1 - 4) + -1. Suppose 4/17 - s*b - 2/17*b**2 - 2/17*b**4 + 6/17*b**o = 0. Calculate b.
-1, 1, 2
Let p(q) be the third derivative of q**3 - 1/20*q**5 + 0 + 0*q - 3/8*q**4 + 3/40*q**6 - 6*q**2 - 1/70*q**7. Find b, given that p(b) = 0.
-1, 1, 2
Solve -20*g**3 - 5*g**5 - 20*g**4 + 198 + 10*g**2 + 25*g + 189 - 377 = 0 for g.
-2, -1, 1
Factor -10/3 - 16/15*g**3 - 54/5*g**2 - 28*g.
-2*(g + 5)**2*(8*g + 1)/15
Solve 2*p**2 - 8/7*p - 2/7*p**3 - 24/7 = 0 for p.
-1, 2, 6
Suppose 174 = -55*b + 394. Factor -1/6*y**5 + 7/6*y**2 + 0 - 1/3*y - 3/2*y**3 + 5/6*y**b.
-y*(y - 2)*(y - 1)**3/6
Let t(h) be the first derivative of -1083*h**3/2 + 57*h**2 - 2*h + 5. Factor t(k).
-(57*k - 2)**2/2
Let x = 2543/5 - 5061/10. Factor -15/2*i**2 - 5/2*i + 0 - x*i**4 - 15/2*i**3.
-5*i*(i + 1)**3/2
Let w(t) = -t**3 + 10*t**2 + 2*t - 9. Let h be w(10). Let b(c) = -c + 13. Let i be b(h). Factor 3/4*o**3 + 3/4*o**i - 3/2*o + 0.
3*o*(o - 1)*(o + 2)/4
Suppose 193 = 7*l + 179. Let y(z) be the third derivative of 0*z**6 + 0 - 1/672*z**8 + 0*z**3 - l*z**2 + 1/210*z**7 + 0*z - 1/60*z**5 + 1/48*z**4. Factor y(i).
-i*(i - 1)**3*(i + 1)/2
Let b(q) be the second derivative of q**6/90 + q**5/5 - 7*q**4/6 + 22*q**3/9 - 5*q**2/2 + 9*q. Factor b(y).
(y - 1)**3*(y + 15)/3
Let p = 13998 - 125972/9. Factor -4/3*x + 2/9*x**2 + p.
2*(x - 5)*(x - 1)/9
Let h = -6787 - -33944/5. Factor -h*i**2 - 3/5*i + 0.
-3*i*(3*i + 1)/5
Suppose -24/7 + 4/7*w**3 + 8/7*w**2 - 20/7*w = 0. What is w?
-3, -1, 2
Let v(s) = -s**3 - 10*s**2 + 11. Let h = 19 + -29. Let y be v(h). Factor 11*z - y*z + 5 + 5*z**2 + 10*z.
5*(z + 1)**2
Let p be (68/(-24) + 3)*2 + 0/(-80). Find y, given that -p*y**2 + 2/3*y - 1/3 = 0.
1
Factor 24/5*z**2 + 0 + 3/5*z**4 + 3*z**3 + 12/5*z.
3*z*(z + 1)*(z + 2)**2/5
Suppose -3*m + 4 = -2. Find d, given that d**4 - 5*d + 1 + d - 178*d**3 + 6*d**m + 174*d**3 = 0.
1
Let 6*t**2 - 8 - 2*t + 1/2*t**4 + 7/2*t**3 = 0. Calculate t.
-4, -2, 1
Let l(i) = i**4 + i**3 + i**2. Let a(b) = -4*b**5 + 44*b**4 - 76*b**3 - 564*b**2 + 588*b. Let u(f) = -a(f) - 4*l(f). Factor u(q).
4*q*(q - 7)**2*(q - 1)*(q + 3)
Let y(t) = -22*t**2 + 24*t - 2. Let o(l) = 7*l**2 - 8*l. Let s(r) = 16*o(r) + 5*y(r). Factor s(i).
2*(i - 5)*(i + 1)
Let t = -171 + 173. Let p(v) be the second derivative of 1/255*v**6 + 4*v - 1/34*v**5 + 2/17*v**t + 0 - 7/51*v**3 + 3/34*v**4. Determine c so that p(c) = 0.
1, 2
Let r(q) = -q**3 + 9*q**2 - 4*q + 41. Let y be r(9). Let f(s) be the second derivative of -1/3*s**2 - 1/18*s**4 + y*s + 0 - 2/9*s**3. Let f(a) = 0. Calculate a.
-1
Let c(s) = 1 - 13*s**3 + s**4 + 3*s + 3 + 19*s**2 - 4. Let m(r) = 3*r**4 - 27*r**3 + 37*r**2 + 5*r. Let d(h) = 5*c(h) - 3*m(h). Factor d(x).
-4*x**2*(x - 2)**2
Let k(n) = -2*n**3 - n**2 + n + 1. Let b(l) = -3*l**3 - 4*l**2 - 6*l - 6. Let w(v) = -b(v) - 6*k(v). Suppose w(f) = 0. What is f?
-2/3, 0
Let r(c) = 2*c**3 - c**2 - 2*c + 1. Let k(m) = -33*m**3 + 21*m**2 + 33*m - 21. Let h(b) = -k(b) - 15*r(b). Factor h(o).
3*(o - 2)*(o - 1)*(o + 1)
Let f = -42/53 + 1248/371. Factor 12/7*s**2 - f*s + 8/7 - 2/7*s**3.
-2*(s - 4)*(s - 1)**2/7
Let a be ((-12485)/(-4200) - 4/(-14)) + -3. Let u = 3/40 + a. Factor -u*j**2 - 2*j - 3.
-(j + 3)**2/3
Let x(m) be the third derivative of -m**5/150 - m**4/30 + 8*m**3/15 + 550*m**2. Factor x(q).
-2*(q - 2)*(q + 4)/5
Let i(k) be the first derivative of k**4 - 13*k**3/3 + 11*k**2/2 - 2*k - 81. Solve i(t) = 0 for t.
1/4, 1, 2
Let d = 904/3 + -301. Let m(b) be the second derivative of -7*b + 0 + 2/3*b**3 - 4*b**2 + d*b**4. Factor m(w).
4*(w - 1)*(w + 2)
Let r(l) be the first derivative of -5*l**6/14 + 54*l**5/35 - 33*l**4/14 + 8*l**3/7 + 9*l**2/14 - 6*l/7 - 155. Factor r(c).
-3*(c - 1)**4*(5*c + 2)/7
Let o be 1/(60/408) - (-8 + 6). Factor o*m + 4/5*m**2 - 48/5.
4*(m - 1)*(m + 12)/5
Let z be (-152)/(-36) + -4 - (-32)/18. Determine c so that -c**3 - 3*c**3 + 0*c + 4*c - z*c**2 + 0*c + 2*c**4 = 0.
-1, 0, 1, 2
Let m(w) = -w**2 - 1. Let p(d) = -d**3 - 2*d**2 + 4*d + 3. Let g be (0 - 2)/((-4)/32*-4). Let f(v) = g*p(v) + 4*m(v). Factor f(l).
4*(l - 2)*(l + 1)*(l + 2)
Let i(w) = 6*w**4 - 65*w**3 - 90*w**2 + 800*w - 662. Let n(z) = -z**4 + 13*z**3 + 18*z**2 - 160*z + 132. Let h(y) = 4*i(y) + 22*n(y). Let h(j) = 0. Calculate j.
-8, 1, 2
Let y = -1648 - -8244/5. Let l(f) be the first derivative of 3/20*f**4 + 3/2*f**2 - y*f**3 - 6/5*f - 4. Factor l(i).
3*(i - 2)*(i - 1)**2/5
Factor -66/5 - 131/5*a - 64/5*a*