lve 14/3*q**4 + 2/3*q**2 - 26/3*q**3 - 2/3*q**5 + 28/3*q - 16/3 = 0 for q.
-1, 1, 2, 4
Let y(o) be the first derivative of o**4/8 - 17*o**3/12 + 5*o**2 - 4*o + 87. Factor y(f).
(f - 4)**2*(2*f - 1)/4
Let f(r) be the first derivative of -2/15*r**5 + 0*r**2 - 1/3*r**4 + 0*r + 0*r**3 - 4 + 1/3*r**6. Factor f(u).
2*u**3*(u - 1)*(3*u + 2)/3
Let h = -13 - -27/2. Let l(v) be the first derivative of -h*v**6 - 2 + 12/5*v**5 - 4*v**3 + 6*v**2 + 0*v - 9/4*v**4. Solve l(s) = 0.
-1, 0, 1, 2
Factor 0 + 22/13*c + 2/13*c**2.
2*c*(c + 11)/13
Factor 603*l**2 + 10380*l**4 - 13*l**3 - 567*l + 108 - 183*l**3 - 4*l**5 - 69*l**3 - 10327*l**4.
-(l - 4)*(l - 3)**3*(4*l - 1)
Factor -4*r**3 + 1259 + 4*r + 0*r**3 - 1259.
-4*r*(r - 1)*(r + 1)
Let g(q) = -q**3 + 18*q**2 - 31*q - 14. Let p be g(16). Factor 0*f**3 - 214*f + 3 + 3*f**3 - 7*f**p + 6*f**4 - 2*f**2 + 211*f.
3*(f - 1)*(f + 1)**2*(2*f - 1)
Let z(f) = -5*f**2 - 24*f - 48. Let g(v) = 26*v**2 + 120*v + 240. Suppose 4*y + 0*y = -8. Let p = -9 + y. Let k(t) = p*z(t) - 2*g(t). Let k(a) = 0. Calculate a.
-4
Let p(o) be the first derivative of o + 9/2*o**3 + 3*o**2 + 7/4*o**4 - 2. Let d(j) be the first derivative of p(j). Suppose d(a) = 0. What is a?
-1, -2/7
Factor 0 - 3*l**3 + 1/2*l**4 + 9/2*l**2 - 2*l.
l*(l - 4)*(l - 1)**2/2
Let z(a) be the second derivative of 8*a + 5/12*a**4 + 0*a**3 + 0 + 0*a**2 + 1/4*a**5. Suppose z(b) = 0. What is b?
-1, 0
What is x in -8/3*x - 8/3*x**3 + 2/3*x**4 + 4*x**2 + 2/3 = 0?
1
Suppose -46 = -5*p - 11. Let y(s) = 1 + 18*s + 4 - 7 - 2*s**2. Let z(g) = -g**2 + 6*g - 1. Let b(f) = p*z(f) - 2*y(f). Let b(a) = 0. What is a?
1
Let j(p) = -p**2 + 2*p + 1. Suppose a = -0*a - 2, -2*a = -3*g + 4. Let f be j(g). Factor 14*d**3 - 3 + d - 2*d**5 + f - 16*d**2 + 3*d**5 + 8*d - 6*d**4.
(d - 2)*(d - 1)**4
Let t(r) = -21*r**2 + 22*r + 2. Let s be t(1). Factor 0*l + 0 + 1/2*l**2 + 1/4*l**s - 1/4*l**4.
-l**2*(l - 2)*(l + 1)/4
Let o(k) be the first derivative of 2*k**6/5 + 92*k**5/25 + 13*k**4 + 68*k**3/3 + 104*k**2/5 + 48*k/5 - 9. Let o(p) = 0. What is p?
-3, -2, -1, -2/3
Let x(s) = -6*s**2 - 30*s - 116. Let k(r) = -4*r**2 - 20*r - 74. Let n(q) = 8*k(q) - 5*x(q). Solve n(v) = 0 for v.
-3, -2
Let q = 3616/5433 - -2/1811. Let f be 10/42 - (-18)/42. Determine w so that f*w - q*w**2 + 4/3 = 0.
-1, 2
Suppose 7*r - 5*q + 100 = 12*r, 0 = -3*r + 5*q + 100. Let j be 5*(-1 - (-3 + -1)). Factor j*g**2 - g**3 - 4 + 13*g**2 - r*g**2.
-(g - 2)**2*(g + 1)
Let i = 3 + -1. Factor 2 + 10*n**i + 15*n + 10 + 0 - 7*n**2.
3*(n + 1)*(n + 4)
Let q(v) be the third derivative of v**6/240 - v**4/48 - 3*v**2 - 27*v. Factor q(g).
g*(g - 1)*(g + 1)/2
Let r = -861 - -2588/3. Suppose 10/3*m + r*m**2 - 5 = 0. What is m?
-3, 1
Let v be 4 + -2 + (-9)/3. Let h be 2 + v + (-4)/(-1) + -4. What is t in h + 0*t - 1/4*t**2 = 0?
-2, 2
Let l(g) be the second derivative of 25*g**7/14 - 17*g**6/6 + g**5/2 + 6*g - 31. Let l(i) = 0. What is i?
0, 2/15, 1
Let h be -6 - (-7 - (-9)/45). Find b such that h*b**2 + 8/5 + 12/5*b = 0.
-2, -1
Find j, given that -99/2*j - 21/2*j**2 - 39 = 0.
-26/7, -1
Suppose 610 + 4*q**5 - 514 - 60*q**2 - 31*q**4 - 27*q**4 + 22*q**4 + 100*q**3 - 104*q = 0. Calculate q.
-1, 1, 2, 3, 4
Let -360 - 12*q**3 + 6*q**2 + 3*q**4 + 4*q**3 + 2*q**4 - 47*q**3 + 300*q + 104*q**2 = 0. Calculate q.
-2, 1, 6
Let j = -1432 + 1437. Let o(x) be the third derivative of 0*x**3 + 1/40*x**6 + 0 - 1/4*x**4 + 2*x**2 + 0*x + 1/20*x**j. Let o(f) = 0. Calculate f.
-2, 0, 1
Let u(v) = 5*v**2 - 4*v + 4. Let c(q) = -14*q**2 + 6 + 441*q - 430*q - 17. Let j(o) = -4*c(o) - 11*u(o). Suppose j(n) = 0. Calculate n.
0
Suppose 3*n - 2 = -i - 0, i - 2 = 4*n. Factor 1/3*h + 2/3*h**3 + 1/6*h**4 + 5/6*h**2 + n.
h*(h + 1)**2*(h + 2)/6
Solve 56/13*c**2 - 66/13*c**3 - 4/13 + 20/13*c**4 - 6/13*c = 0 for c.
-1/5, 1/2, 1, 2
Suppose 0*g - 3*g + 12 = 0. Let h(u) be the second derivative of -7*u + 1/30*u**5 + 1/3*u**2 - 1/18*u**g - 1/9*u**3 + 0. Factor h(r).
2*(r - 1)**2*(r + 1)/3
Let a(v) = 8*v**3 + v**2 + 13*v. Let j(h) = h**3 - h**2 + 2*h. Let t(m) = -a(m) + 5*j(m). Determine n so that t(n) = 0.
-1, 0
Let z(t) be the second derivative of -1/78*t**4 + 0 + 2*t + 1/13*t**3 + 0*t**2. Factor z(j).
-2*j*(j - 3)/13
Let q(s) be the second derivative of s**6/720 + s**5/120 + s**4/48 + 23*s**3/6 - 28*s. Let n(i) be the second derivative of q(i). Suppose n(a) = 0. Calculate a.
-1
Solve 6/5*i**5 - 18/5*i - 6/5*i**3 - 3*i**4 + 33/5*i**2 + 0 = 0.
-3/2, 0, 1, 2
Let -1752/5*b - 46524/5*b**2 + 84638/5*b**3 + 172494/5*b**5 + 60384*b**4 - 16/5 = 0. What is b?
-1, -2/111, 2/7
Let i(m) = -m**3 - 5*m**2 + m + 8. Let f be i(-5). Factor -2*a**2 - 38*a**3 - f*a**2 + 33*a**3.
-5*a**2*(a + 1)
Let h be (-4*1/(-10))/(8/160). Suppose 6*w**3 - 19*w**3 + h*w**3 - 5*w**2 = 0. Calculate w.
-1, 0
Let s(j) be the third derivative of -j**6/40 + 103*j**5/20 - 2491*j**4/8 - 8427*j**3/2 - j**2 + 333. Factor s(l).
-3*(l - 53)**2*(l + 3)
Let o(m) be the third derivative of -m**7/140 + 149*m**6/80 - 7497*m**5/40 + 132055*m**4/16 - 117649*m**3/2 - 275*m**2. Factor o(n).
-3*(n - 49)**3*(n - 2)/2
Let n = 1 + 12. Suppose 0 = -8*f + n*f. Determine b, given that 2*b + 0*b + 2*b + 2*b**2 + f*b = 0.
-2, 0
Let k(t) = -t + 5. Let u be k(3). Let o = 76502 - 382507/5. Solve 0 - 3/5*p - o*p**u = 0 for p.
-1, 0
Let b(n) be the third derivative of -1/6*n**5 + 0 + 0*n + 1/120*n**6 + 0*n**3 + 4*n**2 + 25/24*n**4. Factor b(q).
q*(q - 5)**2
Factor 15/7*p + 3/7*p**2 - 18/7.
3*(p - 1)*(p + 6)/7
Let r be ((-6)/108)/(2 + 531/(-264)). Let g(f) be the second derivative of 1331/90*f**5 + r*f**3 + 121/9*f**4 + 0 + 5*f + 8/9*f**2. Find x, given that g(x) = 0.
-2/11
Let t = 269 + -269. Let o(g) be the second derivative of -4*g - 3/4*g**4 + 1/2*g**3 - 3/5*g**5 + 0*g**2 + t. Factor o(j).
-3*j*(j + 1)*(4*j - 1)
Let m(w) = 6*w**2 + 9*w + 6. Let n(d) = -7*d**2 - 10*d - 7. Let h be 32/2 - (-1 - 0). Suppose 5 = -4*v + h. Let x(z) = v*n(z) + 4*m(z). Factor x(k).
3*(k + 1)**2
Factor 8 + 3*i + 1/4*i**2.
(i + 4)*(i + 8)/4
Let r be (-4 - (-4456)/1110)*(-106)/4. Let j = 2/111 - r. Factor 2/5*k**2 - j*k + 2/5*k**3 - 2/5.
2*(k - 1)*(k + 1)**2/5
Let a(l) be the first derivative of -12 - 2*l**2 + 4/15*l**3 + 1/5*l**4 + 12/5*l. Find f, given that a(f) = 0.
-3, 1
Let h = -52 - -54. Factor 12*s**h - 4*s**2 - 8*s**2 + 3*s**5 - 3*s**3.
3*s**3*(s - 1)*(s + 1)
Factor -56/9 + 2/9*r**2 - 2/3*r.
2*(r - 7)*(r + 4)/9
Let c be 1/(-4) + 2/8. Let z be 221768/(-9804) + 23 + (-2)/43. Solve c - 1/6*u**2 + z*u = 0 for u.
0, 2
Let g(s) = -s + 9. Let c be g(9). Suppose i + 3*d - 6 = -4, c = -5*i - d + 38. Factor -4*a**3 - 7*a**4 + i*a**3 + 9*a**4.
2*a**3*(a + 2)
Let r = 17173 + -17173. Factor 1/3*k**5 - 1/3*k**3 - 2/3*k**2 + 0 + 2/3*k**4 + r*k.
k**2*(k - 1)*(k + 1)*(k + 2)/3
Suppose 10 = 2*a - 0. Factor 2*u**3 - 15*u**2 + a*u**4 + 16 + 30*u - 50*u + 4 + 8*u**3.
5*(u - 1)**2*(u + 2)**2
Let q = 97/174 + -5/87. Let j(l) be the first derivative of -2*l + 1/3*l**3 - q*l**2 + 6. Factor j(z).
(z - 2)*(z + 1)
Factor 3*o**4 + 88*o**3 + 92*o**3 - 27*o**2 + 94*o**3 - 277*o**3 + 27*o.
3*o*(o - 3)*(o - 1)*(o + 3)
Let l = 18601/12 + -1550. Let t(o) be the first derivative of 1/4*o**4 - 1/4*o**2 + 0*o**3 - l*o**6 - 3 + 0*o + 0*o**5. Suppose t(w) = 0. What is w?
-1, 0, 1
Let m be (2 - 110/25)/((-2)/5). Determine b, given that -5*b**2 + b**2 + 6*b - 15 + m + 3*b**2 = 0.
3
Factor -1/2*l**2 + 1/2 - 1/2*l**3 + 1/2*l.
-(l - 1)*(l + 1)**2/2
Let s(k) be the first derivative of -4*k**4/9 + 10*k**3/27 + k**2/3 - 85. Factor s(u).
-2*u*(u - 1)*(8*u + 3)/9
Let a(f) be the third derivative of -f**5/60 - 37*f**4/16 - 55*f**3/12 - 13*f**2 - 3*f. Suppose a(d) = 0. Calculate d.
-55, -1/2
Let i(p) be the third derivative of -16*p**2 + 8/7*p**3 + 0 + 1/140*p**5 - 1/7*p**4 + 0*p. Solve i(r) = 0 for r.
4
Let n(v) = -v**3. Let u(b) be the first derivative of 17*b**4/4 - 56*b**3/3 + 14*b**2 + 8*b + 13. Let c(x) = -3*n(x) + u(x). Factor c(s).
4*(s - 2)*(s - 1)*(5*s + 1)
Let w(o) be the second derivative of -o**5/60 + o**4/4 - 3*o**3/2 + 15*o**2/2 + 8*o. Let c(g) be the first derivative of w(g). Factor c(p).
-(p - 3)**2
Suppose -3/2*l**2 + 13/2 + 19*l = 0. What is l?
-1/3, 13
Let g be (-29)/84 + (-2)/(-8). Let l = g + 25/42. Factor -1/2*z**2 + 0 + l*z.
-z*(z - 1)/2
Find p, given that 14*p + 7*p - 18 - 23*p + 18*p**2 + 2*