 -4. Let y(f) = b*d(f) + 18*j(f). Factor y(h).
-2*h*(h - 1)
Suppose 0 + 3 - 6*b + 35*b + 18*b + 176*b**2 - 64*b**3 = 0. What is b?
-1/8, 3
Let i(d) be the third derivative of -d**7/1260 + 19*d**6/720 - 119*d**5/360 + 245*d**4/144 - 39*d**2 - 5. Factor i(r).
-r*(r - 7)**2*(r - 5)/6
Let y(x) be the third derivative of -x**6/40 - x**5/10 + 7*x**4/8 - 2*x**3 + 27*x**2 + 5*x. Let y(t) = 0. Calculate t.
-4, 1
Suppose -p - 9*l = -12*l + 3, 0 = 2*p + 2*l - 10. Solve 2/3*h + 2/3 - 2/3*h**2 - 2/3*h**p = 0.
-1, 1
Let k be 222/2072*((-4)/(-3) - 0). Solve 5/7*i**3 - k*i**4 - 9/7*i**2 + i - 2/7 = 0 for i.
1, 2
Let v(o) be the first derivative of o**6/480 + 7*o**5/240 + o**4/12 + 17*o**3/3 + 6. Let h(w) be the third derivative of v(w). Factor h(p).
(p + 4)*(3*p + 2)/4
Let g(j) be the first derivative of -49*j**4/72 + j**2/3 - 2*j - 1. Let m(z) be the first derivative of g(z). Determine b, given that m(b) = 0.
-2/7, 2/7
Let 3/7*u**2 - 24/7*u + 45/7 = 0. Calculate u.
3, 5
Let y(o) be the first derivative of 6*o**6 + 12*o**5 - 14*o**4 - 16*o**3 + 16*o**2 - 79. Suppose y(t) = 0. What is t?
-2, -1, 0, 2/3
Let j(y) = 5*y + 213. Let i be j(-42). Determine o, given that -729/2 - 27/2*o**2 - 1/2*o**i - 243/2*o = 0.
-9
Suppose -27 + 34 + 17*c**2 - 3*c**3 - 2*c**2 + 66*c + 41 = 0. Calculate c.
-2, -1, 8
Let f(t) be the second derivative of -t**6/75 - 7*t**5/50 - 4*t**4/15 + 16*t**3/15 + 140*t. Factor f(s).
-2*s*(s - 1)*(s + 4)**2/5
Let w(t) be the first derivative of -2 - 33/25*t**5 + 0*t + 0*t**2 + 363/20*t**4 + 1/30*t**6 - 1331/15*t**3. Factor w(c).
c**2*(c - 11)**3/5
Let f(v) = -2*v - 6. Let i be f(-4). Suppose 2*p = 8*l - 6*l + 12, -5*p - 3*l + 22 = 0. Solve 7/5*t**4 + p*t**i + 4/5 + 16/5*t + 1/5*t**5 + 19/5*t**3 = 0 for t.
-2, -1
Let d(q) be the second derivative of 3*q**5/100 - 3*q**4/4 - 33*q**3/10 - 51*q**2/10 - 6*q + 2. Factor d(z).
3*(z - 17)*(z + 1)**2/5
Suppose -2 + 12 = r. Suppose -5*s + r*s - 20 = 0. Solve 0 - m**2 - 3*m**5 - 2/3*m + m**s + 11/3*m**3 = 0.
-1, -1/3, 0, 2/3, 1
Let n(k) be the second derivative of -10/3*k**3 + k**6 + 0*k**2 + 5*k**4 - 13/4*k**5 + 0 - 5/42*k**7 + 5*k. What is z in n(z) = 0?
0, 1, 2
Let q(u) be the third derivative of -u**6/120 - u**5/3 + 47*u**4/24 + 24*u**2. Let f(z) = -20*z**2 + 48*z. Let b(y) = -6*f(y) + 4*q(y). Solve b(a) = 0 for a.
0, 5
Suppose 7*h + 14 = 49. Factor -7 - 25*z**3 + 27 - 4*z**2 + 40*z - 5*z**4 + h*z**5 + 9*z**2.
5*(z - 2)**2*(z + 1)**3
Suppose -17*x = -10*x - 623. Solve -285*i**4 - 44*i**2 + 504*i**3 + x*i**4 + 32*i - 196*i**2 = 0 for i.
0, 2/7, 2
Solve 75744*i - 19104*i + 47350 + 4*i**3 + 948*i**2 - 4677 + 13023 = 0.
-118, -1
Let n(u) be the first derivative of -u**7/1120 - u**6/240 + 5*u**3/3 + 32. Let l(q) be the third derivative of n(q). Determine h, given that l(h) = 0.
-2, 0
Let s(u) = u**4 + 22*u**3 + 66*u**2 + 70*u + 19. Let g(p) = -p**2 - 2*p. Let n(f) = -6*g(f) - s(f). What is q in n(q) = 0?
-19, -1
Let z = 1303 - 1303. Let d(r) be the second derivative of 0 - r + z*r**4 - 2/7*r**7 - 1/10*r**6 + 0*r**2 + 0*r**3 + 0*r**5. Factor d(l).
-3*l**4*(4*l + 1)
Factor -118/3 - 1/3*f**2 - 61/3*f.
-(f + 2)*(f + 59)/3
Let z(f) = -5*f**4 - 63*f**3 - 242*f**2 - 178*f + 2. Let s(l) = 10*l**4 + 125*l**3 + 485*l**2 + 355*l - 5. Let k(g) = 2*s(g) + 5*z(g). Factor k(b).
-5*b*(b + 1)*(b + 6)**2
Let n(a) be the second derivative of 0 + 0*a**2 + 10*a + 0*a**3 - 1/54*a**4 + 1/90*a**5. Solve n(r) = 0 for r.
0, 1
Let b = 15 + -9. Let g = 10 - b. Solve 10*z**2 + 5*z**5 - g*z + 4*z**4 - 6*z**4 - 3*z**5 - 6*z**3 = 0.
-2, 0, 1
Let s(d) be the third derivative of d**7/3780 - d**6/540 + d**5/180 - d**4/24 - 14*d**2. Let l(m) be the second derivative of s(m). What is w in l(w) = 0?
1
Let p = 191/4296 + -1/358. Let o(g) be the third derivative of 0 - p*g**4 + 2*g**2 + 1/8*g**3 + 0*g + 1/240*g**5. Factor o(f).
(f - 3)*(f - 1)/4
Let n(d) be the third derivative of -d**5/360 + d**3/36 - 48*d**2. Let n(m) = 0. Calculate m.
-1, 1
Let z be (5 + -4 + 4)*24/30. Let w(m) be the first derivative of -6*m**3 - 5 - 3/2*m**2 + 0*m - 9*m**z - 6*m**5 - 3/2*m**6. Let w(x) = 0. Calculate x.
-1, -1/3, 0
Let g(i) = -53*i - 106. Let r be g(-2). Let q(c) be the third derivative of 4/15*c**3 + c**2 + 0 + r*c - 1/10*c**5 + 1/15*c**4. Let q(b) = 0. What is b?
-2/5, 2/3
Suppose -8*j = -3*j - 10. Factor -52*o - 7 - 16*o**j - 5 + 0*o**2.
-4*(o + 3)*(4*o + 1)
Let d(t) = -4*t + 38. Let b be d(10). Let m be b/(-10) + (-10)/50. Let 0*x**4 - 4/3*x**3 + 2/3*x**5 + 2/3*x + m*x**2 + 0 = 0. What is x?
-1, 0, 1
What is x in 72/5*x**4 + 0 - 288/5*x**2 + 176/5*x**3 - 128*x - 4/5*x**5 = 0?
-2, 0, 2, 20
Let g(m) be the second derivative of -44521*m**4/18 + 844*m**3/9 - 4*m**2/3 + m - 62. Factor g(h).
-2*(211*h - 2)**2/3
Let i(a) = 6*a + 21. Let b be i(-3). Let -3/4*c - 9/8*c**2 + 21/8*c**b + 9/8*c**4 - 15/8*c**5 + 0 = 0. What is c?
-1, -2/5, 0, 1
Let l(j) be the second derivative of -j**6/288 - 11*j**5/48 - 605*j**4/96 + 22*j**3/3 + 5*j. Let v(d) be the second derivative of l(d). Solve v(k) = 0 for k.
-11
Let u = 27/22 - 37/66. Let b(m) be the first derivative of 2*m**4 + 13 + 4/5*m**5 - 8/3*m**3 - 2*m**2 + 4*m - u*m**6. Factor b(o).
-4*(o - 1)**3*(o + 1)**2
Let p(y) = -23*y + 830. Let l be p(36). Factor 0 - 2*r**3 + 4/5*r - 6/5*r**l.
-2*r*(r + 1)*(5*r - 2)/5
Let n be 110/(-154)*(-6)/15. Let u(q) be the first derivative of 0*q - n*q**3 + 2/7*q**2 + 1/14*q**4 - 5. Let u(f) = 0. What is f?
0, 1, 2
Suppose 148*h + 144 + h**2 + 2*h**2 - 2*h**2 + 4*h**2 - h**2 = 0. What is h?
-36, -1
Suppose l - 2*l - 2 = -g, -8 = -4*g. Let u be 0 + 1*3 + -17 + 19. Factor l + 0*n**4 + 25/6*n**u - 2/3*n**3 + 0*n + 0*n**2.
n**3*(5*n - 2)*(5*n + 2)/6
Let o(f) be the second derivative of -f**6/6 + 5*f**4/4 - 5*f**3/3 - 2*f - 20. Solve o(d) = 0 for d.
-2, 0, 1
Let d = 34046/3 - 11342. Factor -16/3*g - d + 4/3*g**2.
4*(g - 5)*(g + 1)/3
Let n(f) = 5*f**2 + 12*f + 9. Let u(b) = -b**2 - 1. Let y = -6 + 5. Let z be 4/(-5) + (-8)/(-10) + -1. Let j(h) = y*n(h) + z*u(h). Let j(g) = 0. Calculate g.
-2, -1
Let q be (105/(-6))/((-3)/6). Determine z so that -6 - 34*z**3 + 3*z + 66*z**3 + 6*z**2 + 0*z**2 - q*z**3 = 0.
-1, 1, 2
Let k(q) = q**2 + 3*q - 14. Let t(l) = 6*l + 6. Let y be t(-2). Let z be k(y). Find c, given that 1/2*c**3 - 1/2*c**z + 0 + 1/2*c**2 - 1/2*c = 0.
-1, 0, 1
Let o be 8 + -2 - (2 - 3)*-2. Let c be ((-4)/(-5))/(6/15). Solve o + i**3 - 3 - 2*i**2 - i + i**c = 0.
-1, 1
Let z(a) be the third derivative of a**6/72 + 7*a**5/12 - 29*a**3/6 + a**2 + a. Let i(u) be the first derivative of z(u). Factor i(h).
5*h*(h + 14)
Let x(c) be the first derivative of 1/50*c**5 - 2/5*c**2 + 4*c + 0*c**4 - 10 - 1/5*c**3. Let m(l) be the first derivative of x(l). Factor m(b).
2*(b - 2)*(b + 1)**2/5
Let d = 1722 + -1720. Factor -9/8*q + 1/8*q**d + 1.
(q - 8)*(q - 1)/8
Let r = -13550 - -40652/3. Solve 4*n + r*n**2 + 16/3 = 0 for n.
-4, -2
Let i(p) = -p**2 + 29*p - 95. Let v be i(4). Let a(h) be the third derivative of 0*h + 1/210*h**v + 0 - 2/21*h**3 + 1/84*h**4 + 4*h**2. Factor a(q).
2*(q - 1)*(q + 2)/7
Let t = -88 - -618/7. Let q(c) be the first derivative of t*c + 8 - 4/21*c**3 + 2/35*c**5 + 0*c**2 + 0*c**4. Factor q(v).
2*(v - 1)**2*(v + 1)**2/7
Let i(q) = 15*q**2 - 21*q - 3. Let x(p) = p + 11. Let t be x(-15). Let d(g) = -7*g**2 + 10*g + 1. Suppose -2 = b + 7. Let l(h) = b*d(h) + t*i(h). Factor l(a).
3*(a - 1)**2
Factor 15*q**2 + 42*q + 31 - 37*q**2 + 5*q**4 - 25*q**3 - 13*q**2 - 17*q - 1.
5*(q - 6)*(q - 1)*(q + 1)**2
Let c(h) be the second derivative of -9*h**6/20 + 279*h**5/5 - 1859*h**4 - 5208*h**3 - 5292*h**2 + 34*h. Factor c(j).
-3*(j - 42)**2*(3*j + 2)**2/2
Let t(n) be the third derivative of -n**5/20 + 9*n**4/2 - 162*n**3 + 19*n**2 - n. What is p in t(p) = 0?
18
Let f = 374 - 373. Let p(y) be the first derivative of -7/10*y**2 - 6/5*y + 1/5*y**3 + f. Factor p(n).
(n - 3)*(3*n + 2)/5
Let n(h) = -h**3 + 7*h**2 + 2*h + 2. Let k be n(7). Suppose -k = -3*w + 5. What is t in w*t**5 - 5*t**5 + 24*t**3 - 4*t**4 - 16*t**2 - 8*t**4 = 0?
0, 2
Let y(n) be the first derivative of n**4/12 - 10*n**3/9 + 4*n**2 - 64. Factor y(h).
h*(h - 6)*(h - 4)/3
Let v be (6 - 4 - 5/(-2))*-26. Let a be (-4)/26 + (-96)/v. Factor 0*q + 0 + a*q**2 - 1/3*q**3.
-q**2*(q - 2)/3
Let z(q) be the first derivative of 25*q**6/2 + 9*q**5 - 