p. Let q = -1 - -6. Factor 2*f**2 + p*f**3 + 2*f**3 + f - 2 - 4*f - 3*f**4 + f**q + 3.
(f - 1)**4*(f + 1)
Let n = -372/11 - -1109/33. Let l = 61/132 + n. Factor l*f**5 - 3/4*f + 1/2*f**3 - 1/4 - 1/2*f**2 + 3/4*f**4.
(f - 1)*(f + 1)**4/4
Suppose 4*b - 66 + 354 = 0. Let l be (b/90)/((-4)/630). Find u, given that -3*u**2 + l - 126 = 0.
0
Let v(p) be the second derivative of -p**7/735 + p**6/140 - p**4/21 + 7*p**2/2 + p. Let y(j) be the first derivative of v(j). Let y(u) = 0. Calculate u.
-1, 0, 2
Let z be 7 + 150/(-18) + (-4 - (0 - 6)). Factor z*y + 2/3*y**2 + 0.
2*y*(y + 1)/3
Determine f so that -1/2*f**3 + 0 + 5/2*f**2 + 25*f = 0.
-5, 0, 10
Let t = 370/33 + -116/11. Determine y, given that -2/3*y**4 + 0 - 2/3*y + t*y**2 + 2/3*y**3 = 0.
-1, 0, 1
Let p(r) = -r**2 + 12*r - 35. Let b be p(7). Let l(x) be the second derivative of 0*x**3 + 4*x - 1/50*x**6 + b*x**5 + 0*x**4 + 0 + 0*x**2. Factor l(w).
-3*w**4/5
Let d(j) be the first derivative of 2*j**5/25 + 4*j**4/5 + 14*j**3/5 + 18*j**2/5 - 449. Factor d(a).
2*a*(a + 2)*(a + 3)**2/5
Let b = 7 - 4. Solve 2 - 232*k**2 - k - b*k + 234*k**2 = 0.
1
Let x(w) = w**2 + 27*w + 64. Let a be x(-31). Factor -10 - 370*u**3 - 5*u + 10*u**2 + 187*u**3 + a*u**3.
5*(u - 1)*(u + 1)*(u + 2)
Let q(p) be the second derivative of -2/3*p**3 + 0 - 1/4*p**4 - 1/30*p**5 + 8*p - 6*p**2. Let b(z) be the first derivative of q(z). Factor b(y).
-2*(y + 1)*(y + 2)
Suppose 5*k + 5*s - 125 = 0, 2*s + 119 = 5*k + 8. Suppose 2*v + 3 = q, -4*q + v = 4*v - k. Factor 0*d + 0 - d**2 - 5/4*d**4 + 1/4*d**q + 2*d**3.
d**2*(d - 2)**2*(d - 1)/4
Suppose -6*w - 3 = b - w, b + w - 1 = 0. Let u(z) be the first derivative of 1/2*z**3 - b + 3/2*z + 3/2*z**2. Factor u(y).
3*(y + 1)**2/2
Let x(z) = 13*z - 2. Let q be x(2). Let b(i) = i**3 + i**2 + i + 1. Let f(d) = 7*d**3 + 7*d**2 + 9*d + 9. Let u(g) = q*b(g) - 3*f(g). Factor u(t).
3*(t - 1)*(t + 1)**2
Let h(k) be the first derivative of k**6/3060 + k**5/1020 + 16*k**3/3 - 10. Let w(g) be the third derivative of h(g). Suppose w(c) = 0. Calculate c.
-1, 0
Let u be (18 + (-504)/30)/((-4)/(-10)). Suppose 0*f + 6/5*f**u + 0 - 3/5*f**4 - 3/5*f**2 = 0. Calculate f.
0, 1
Let b(d) be the third derivative of -d**7/105 - d**6/5 + d**5/30 + d**4 + 209*d**2. Factor b(a).
-2*a*(a - 1)*(a + 1)*(a + 12)
Let a(z) be the third derivative of 1/84*z**6 + 1/7*z**4 - 14*z**2 + 0*z - 3/35*z**5 + 0 + 8/21*z**3. Determine f so that a(f) = 0.
-2/5, 2
Let x(y) = y**3 - 4*y**2 + 4*y - 1. Let r be x(3). Factor -2 + 4 - 4*m**3 - 8*m**2 + 12*m - r.
-4*m*(m - 1)*(m + 3)
Find n such that 0 + 72/5*n + 3/5*n**2 = 0.
-24, 0
Let z be (-11)/((-11)/(-6)) + (-5)/85*-104. Factor -8/17*h + 6/17*h**2 + z.
2*(h - 1)*(3*h - 1)/17
Factor -24*h**5 + 108*h**2 + 751*h**4 + 27*h**5 - 721*h**4 + 99*h**3.
3*h**2*(h + 3)**2*(h + 4)
Suppose -7*v - 28 + 49 = 0. Let w(m) be the first derivative of 2/5*m**5 + 0*m**4 + 1/2*m**2 - 2/3*m**v + 0*m - 1/6*m**6 - 2. Factor w(p).
-p*(p - 1)**3*(p + 1)
Suppose -17 = -6*u + 7. Suppose 4*v - 35 = d, -2*d = -v - 5*d + 25. Determine q, given that 5 - 3*q**u + v*q**3 - 3*q**4 + q**4 - 10*q = 0.
-1, 1
Let b be 462/49*50/275. Factor 8/7*o + 4/7*o**3 - b*o**2 + 0.
4*o*(o - 2)*(o - 1)/7
Let p(c) be the first derivative of -2*c**5 + 4/3*c**6 + 0*c**3 + 0*c**2 - 30 + 0*c + 1/2*c**4. Factor p(a).
2*a**3*(a - 1)*(4*a - 1)
Suppose 0 + 1/3*i**4 - 7/3*i**2 - 2/3*i**3 - 4/3*i = 0. What is i?
-1, 0, 4
Let x(i) be the second derivative of -31*i + 16/5*i**5 + 162*i**2 + 2/15*i**6 + 46/3*i**4 + 0 - 96*i**3. Determine r so that x(r) = 0.
-9, 1
Let v(g) be the second derivative of -g**5/5 - g**4 - 4*g**3/3 - 79*g - 1. Factor v(c).
-4*c*(c + 1)*(c + 2)
Let h(b) be the first derivative of 3*b**5/5 - 3*b**4/2 - 3*b**3 + 73. Find g such that h(g) = 0.
-1, 0, 3
Let o be (-3)/1 + -5 + (17 - 4). Let j(m) be the second derivative of 1/42*m**4 - 1/70*m**o + 1/21*m**3 + 7*m + 0 - 1/7*m**2. Let j(w) = 0. Calculate w.
-1, 1
Let j(i) = 7*i**2 + 32*i + 64. Let c(z) = -6*z**2 - 32*z - 64. Let t be 2 + (3 - 6 - -3). Let q(m) = t*j(m) + 3*c(m). Let q(f) = 0. What is f?
-4
Let g = -1 - -5. Suppose 0 = c - h - 8, 0*c - c + 23 = -g*h. What is u in -3*u + c*u**2 + 0*u + 0*u = 0?
0, 1
Let t(j) be the first derivative of -2*j**3/3 - 5*j**2/2 + 4*j - 1. Let r(y) = y. Let g(n) = 3*r(n) + t(n). Let g(u) = 0. Calculate u.
-2, 1
Let j(a) be the first derivative of 2*a**3/3 - a**2 + 295. Factor j(i).
2*i*(i - 1)
Suppose -4*g = 8*m + 44, m = 3*g - 3*m - 37. Factor 2/3*l**2 - 8/3 - 1/3*l**g + 4/3*l.
-(l - 2)**2*(l + 2)/3
Let f be 8/3 - 6/9. Let l(r) = -154*r + 616. Let i be l(4). Solve i - 2/3*h**f - 4/3*h = 0 for h.
-2, 0
Let h(u) be the third derivative of u**5/30 - 119*u**4/12 + 118*u**3/3 + 23*u**2 + 5. Factor h(v).
2*(v - 118)*(v - 1)
Let y(q) be the third derivative of 27*q**8/280 - 321*q**7/175 - 53*q**6/100 + 631*q**5/150 - 23*q**4/6 + 8*q**3/5 - 565*q**2. Determine i, given that y(i) = 0.
-1, 2/9, 1/3, 12
Let m be (812/(-920))/(-7) + 2/4. Let w = m + -3/115. Factor 1056/5*k**3 + 51/5*k - 1536/5*k**4 - 336/5*k**2 - w + 768/5*k**5.
3*(k - 1)*(4*k - 1)**4/5
Let u = 63 - 59. Let 56*g**3 - 48 + 2*g**4 - 64*g + 2*g**u + 44*g**2 + 8*g**4 = 0. Calculate g.
-3, -2, -2/3, 1
Let t = -692/3 + 231. Let k(y) be the second derivative of 0*y**6 - 4*y - 1/21*y**7 + 1/5*y**5 + 0 - t*y**3 + 0*y**2 + 0*y**4. Find d such that k(d) = 0.
-1, 0, 1
Determine s, given that 26*s**2 + 12*s + 12*s**3 + 13*s**3 - 47*s**3 - 24 + 10*s - 2*s**4 = 0.
-12, -1, 1
Suppose 0 = 3*f + 5*p + 10, 4*f - 15 = -9*p + 8*p. Factor 46/5*r**4 + 8*r**2 - 16/5*r + 0 + 8/5*r**f + 84/5*r**3.
2*r*(r + 2)**3*(4*r - 1)/5
Let o(k) = -k**5 + 7*k**4 + 13*k**3 + k**2 - 4*k - 4. Let b(i) = -i**5 + 6*i**4 + 11*i**3 - 4*i - 3. Let j(g) = -4*b(g) + 3*o(g). Factor j(x).
x*(x - 4)*(x - 1)*(x + 1)**2
Let w be ((-3)/54)/((7 - 4)/(-96)). Factor -8*q + 12*q**2 - 6*q**3 + w.
-2*(3*q - 2)**3/9
Let f = 10 + -5. Suppose 2*r - 3 = -5*h + 11, 0 = f*r + 5*h - 20. Factor 2*n + n**2 - r*n - 5*n**2.
-4*n**2
Let d be (-18)/(-81) + 34/9. Suppose s + 4*z = -13 - 1, 4 = -2*s - 2*z. What is j in -s*j**3 - 2*j**d + 0*j**3 + 0*j**3 = 0?
-1, 0
Let w(k) be the third derivative of k**10/201600 - k**8/8960 - k**7/3360 + k**5/10 + 7*k**2. Let u(p) be the third derivative of w(p). Factor u(f).
3*f*(f - 2)*(f + 1)**2/4
Let x(r) be the third derivative of -r**7/6300 - r**6/600 - r**4/6 + 7*r**2. Let d(g) be the second derivative of x(g). Factor d(z).
-2*z*(z + 3)/5
Let x(v) = 27*v**3 + 13*v**2 + 11*v - 19. Let c(j) = 11*j**3 - 5 - 12*j**2 + 3*j + 15*j**2 - 4*j**3. Let l(p) = -22*c(p) + 6*x(p). Factor l(b).
4*(b + 1)**2*(2*b - 1)
Suppose -1 - 3 = -y. Factor 21*l**3 - y*l**2 - 35*l**3 + 0*l + 18*l**3 - 4*l + 4*l**4.
4*l*(l - 1)*(l + 1)**2
Let d(k) be the second derivative of -2/3*k**2 + 1/18*k**4 - 13*k + 0 - 1/9*k**3. Factor d(f).
2*(f - 2)*(f + 1)/3
Let x(r) be the third derivative of r**7/735 - r**6/15 + 7*r**5/6 - 49*r**4/6 + 122*r**2 - 1. Factor x(s).
2*s*(s - 14)*(s - 7)**2/7
Let k(o) be the first derivative of -o**4/16 - o**3/2 - 11*o**2/8 - 3*o/2 + 48. Factor k(l).
-(l + 1)*(l + 2)*(l + 3)/4
Let u(g) be the first derivative of g**6/300 + g**5/30 + 7*g**4/60 + g**3/5 + 3*g**2 + 5. Let p(f) be the second derivative of u(f). Factor p(n).
2*(n + 1)**2*(n + 3)/5
Let f(g) be the third derivative of g**8/56 + 38*g**7/105 + 421*g**6/180 + 88*g**5/45 - 235*g**4/9 + 400*g**3/9 - 3*g**2 + 71*g. Let f(o) = 0. Calculate o.
-5, -4, 2/3
Let y be (-21)/28*(-7 + 5). Determine h, given that -y*h + 3/4*h**2 + 3/4*h**3 + 0 = 0.
-2, 0, 1
Let k(y) be the first derivative of -1/16*y**4 - 75/8*y**2 - 5*y + 12 - 5/4*y**3. Let g(m) be the first derivative of k(m). Solve g(r) = 0 for r.
-5
Suppose 0 = 6*w - 21 + 9. Factor 8*p - 2*p**w + 9*p - 17*p + 2.
-2*(p - 1)*(p + 1)
Let c(f) be the second derivative of 11/2*f**2 + f - 4/3*f**3 + 0 + 2/3*f**4. Let r(t) = 3*t**2 - 3*t + 4. Let q(n) = -4*c(n) + 11*r(n). Factor q(d).
d*(d - 1)
Let q(w) be the first derivative of 1/9*w**3 - 4/3*w - 25 + 1/2*w**2. Solve q(i) = 0 for i.
-4, 1
Suppose 5*t + 0*y + y + 57 = 0, -30 = 2*t - 2*y. Let z be 10/(-15) + -3 + (-50)/t. Factor 0*w + 0 + z*w**2 - w**4 + 1/4*w**3 - 3/4*w**5.
-w**2*(w + 1)**2*(3*w - 2)/4
Factor 12/5 - 12/5*m + 3/5*m**2.
3*(m - 2)**2/5
Factor 813 - q**2 + 9*q - 5*q + 11*