) be the third derivative of 1/12*r**4 + k + 0*r**3 + 1/240*r**6 + 0*r + 1/30*r**5 - 2*r**2. Factor s(i).
i*(i + 2)**2/2
Let 0 - 2/11*d**3 + 2/11*d**2 - 2/11*d**4 + 2/11*d = 0. Calculate d.
-1, 0, 1
Let l = -7/12 + 5/4. Factor 0 + l*v**2 - 2/3*v.
2*v*(v - 1)/3
Factor 2/7*i**2 - 2/7*i - 4/7.
2*(i - 2)*(i + 1)/7
Factor 52*j**3 - 4*j - 17*j**3 - 21*j**4 + 8*j**3.
-j*(j - 2)*(3*j - 1)*(7*j + 2)
Suppose -4 = -v - 2. What is g in -2*g + g**2 + 8 - 3*g**v - 8 = 0?
-1, 0
Let f(n) = 2*n**4 + 2*n**3 - 4*n**2. Let w(g) = 3*g**4 + 2*g**3 - 5*g**2. Let h be 6*-1 + 6/3. Let q(c) = h*f(c) + 3*w(c). Factor q(j).
j**2*(j - 1)**2
Let p = 0 + 3. Factor p*v**4 + v**2 + v**2 - 3*v**2 - 2*v**4.
v**2*(v - 1)*(v + 1)
Factor 2*v + 2/3*v**2 + 0.
2*v*(v + 3)/3
Let w = -41214/37 - -1114. Let i = w - -580/111. Solve 0 - 2*o**2 + 4/3*o - 2*o**4 - i*o**3 = 0 for o.
-2, -1, 0, 1/3
Let a = -23 - -6. Let d = -14 - a. Factor -2/7*u - 2/7 + 2/7*u**2 + 2/7*u**d.
2*(u - 1)*(u + 1)**2/7
Let k be 2 - (1 - 1)/(-24 + 21). Determine y, given that 2/5 - 2/5*y**k + 0*y = 0.
-1, 1
Let x be (7/5)/((-4)/(-20)). What is b in -b**4 - b**4 - 2*b**2 - 3*b**3 + x*b**3 + 0*b**4 = 0?
0, 1
Let w(b) be the first derivative of -b**5 + 25*b**4/4 - 15*b**3 + 35*b**2/2 - 10*b - 4. Factor w(d).
-5*(d - 2)*(d - 1)**3
Let a(v) = 4 + 4 + 1 + 11*v**2 - 4 - 8*v. Let t(u) = -4*u**2 + 3*u - 2. Let h(g) = -3*a(g) - 8*t(g). Determine p so that h(p) = 0.
-1, 1
Let u(x) be the first derivative of -x**4/4 - 5*x**3/3 - 7*x**2/2 - 8*x - 1. Let a be u(-4). Solve 1/2*g**a - g**3 + g + 0*g**2 - 1/2 = 0 for g.
-1, 1
Let i(q) = q**2 + 17*q + 20. Let d = -30 - -14. Let a be i(d). Factor 1/3*u - 1/3 + a*u**2.
(3*u + 1)*(4*u - 1)/3
Let o be (-24)/(-35) - 12/42. Suppose 0 - 4/5*n**2 + 2/5*n**3 + o*n = 0. Calculate n.
0, 1
Let p be -2 + (-2)/2 + 21. Determine x, given that 4 + x**3 + 16*x**3 + 73*x**2 - 31*x**5 - 77*x**4 + 32*x - p*x**5 = 0.
-1, -2/7, 1
Suppose 5*r - q = 6 + 4, 0 = -4*q. Let u be ((-6)/45)/(r/(-5)). Let 4/3*g - g**4 + u + 2/3*g**2 - 4/3*g**3 = 0. Calculate g.
-1, -1/3, 1
Let y = -2581/5 - -518. Suppose -2/5 + y*l**2 - 7/5*l = 0. What is l?
-2/9, 1
Let v be (-28 - -2)*2/(-4). Let r = -11 + v. Let 5*z**2 - 2*z**4 - 4*z + 2*z**2 - z**r = 0. Calculate z.
-2, 0, 1
Suppose -3*l = -0*n - 5*n + 22, -3*n - 10 = 4*l. Let a be (-2*3)/(2*-1). What is u in 4*u - u**4 + 0*u**2 + u**n - 5*u + u**a = 0?
-1, 0, 1
Let s be (-4 + 4)/(5/((-10)/(-4))). Let j(n) be the second derivative of 0 + 0*n**2 - 4*n + s*n**3 - 1/12*n**7 + 1/12*n**6 + 0*n**4 + 1/20*n**5. Factor j(y).
-y**3*(y - 1)*(7*y + 2)/2
Let k(s) be the third derivative of s**7/5880 - s**6/2520 - s**5/420 + 2*s**3/3 - 5*s**2. Let p(a) be the first derivative of k(a). Factor p(j).
j*(j - 2)*(j + 1)/7
Let i(c) be the second derivative of -c**4/6 + 11*c**3/3 + 5*c + 3. Determine h so that i(h) = 0.
0, 11
Let d = 5 + 0. Factor -1/2*k**3 + 1/2*k**d - 1/2*k**2 + 0 + 1/2*k**4 + 0*k.
k**2*(k - 1)*(k + 1)**2/2
Let s be 11/5 - (-1)/(-5). Let k = -51 + 461/9. Factor k*c**s + 2/9*c - 4/9.
2*(c - 1)*(c + 2)/9
Let k = -6 - -34. Let y = k - 23. Factor 5/2*g + 5*g**3 + 5*g**2 + 1/2*g**y + 1/2 + 5/2*g**4.
(g + 1)**5/2
Let x be 20/16 + (4/4)/(-1). Solve 0 + x*j**3 + 3/4*j**5 + 0*j**2 - j**4 + 0*j = 0.
0, 1/3, 1
Factor -q**2 + 1/5*q**4 - 3/5*q - 1/5*q**3 + 0.
q*(q - 3)*(q + 1)**2/5
Let y(t) be the second derivative of -1/3*t**2 + 1/6*t**3 + 5/9*t**4 + 0 - 6*t. Factor y(v).
(4*v - 1)*(5*v + 2)/3
Let f(l) be the first derivative of -4*l**3 - 3 + 21/4*l**2 - 3/2*l - 6*l**4. Let f(y) = 0. What is y?
-1, 1/4
Let c(h) be the third derivative of h**7/840 - h**5/120 + h**3 + 3*h**2. Let b(f) be the first derivative of c(f). Suppose b(j) = 0. Calculate j.
-1, 0, 1
Let n be 0 - ((-1)/2 + 0). Let c = 4 - 0. Determine y so that -n*y**c - 9/2*y**2 + 5/2*y**3 - 1 + 7/2*y = 0.
1, 2
Let q(m) = m**3 + 7*m**2 + 7*m. Let t(g) = -1. Let d(j) = q(j) - 6*t(j). Let c be d(-6). Find x, given that c + x - 1/2*x**2 = 0.
0, 2
Let a(r) be the first derivative of r**4/4 + 5*r**3/6 + r**2/4 - r - 46. Solve a(n) = 0.
-2, -1, 1/2
Factor -14/5*t**2 - 24/5 - 32/5*t - 2/5*t**3.
-2*(t + 2)**2*(t + 3)/5
Let m be (2 - 5)*(-2 - -1). Solve -3*q + 0*q - m*q**2 + 12*q**3 - 1 - 13*q**3 = 0.
-1
Let 2/3*l**2 + 0 + 8/3*l = 0. Calculate l.
-4, 0
Suppose -19*u + 4 = -17*u. Let p(q) be the first derivative of 3 + 0*q**u + 1/25*q**5 + 0*q - 1/20*q**4 + 0*q**3. Find a, given that p(a) = 0.
0, 1
Let j(c) be the third derivative of c**5/15 + c**4/3 + 2*c**3/3 + 5*c**2. Factor j(x).
4*(x + 1)**2
Determine w so that -8/3*w + 2/3*w**3 + 4*w**2 - 2/3*w**4 - 16/3 = 0.
-2, -1, 2
Suppose -3*k + 2*y + 18 - 3 = 0, 0 = k + y. Let v(i) be the first derivative of -1/2*i**4 + 1 + i**2 - 2/5*i**5 + 0*i + 2/3*i**k. What is o in v(o) = 0?
-1, 0, 1
Let n(z) = -5*z**5 - 5*z**4 - 13*z**3 - 4*z**2 - 9*z - 9. Let r(d) = d**5 + d**4 + 3*d**3 + d**2 + 2*d + 2. Let m(h) = -2*n(h) - 9*r(h). Factor m(w).
w**2*(w - 1)*(w + 1)**2
Solve 3*a + 363/4*a**3 + 0 + 33*a**2 = 0 for a.
-2/11, 0
Let r(n) be the third derivative of -n**5/570 - n**4/76 + 10*n**3/57 + 28*n**2. Factor r(q).
-2*(q - 2)*(q + 5)/19
Let m(b) be the third derivative of -2*b**2 - 121/60*b**5 - 2/3*b**3 + 11/6*b**4 + 0 + 0*b. Factor m(y).
-(11*y - 2)**2
Let z(y) = -3*y**3 + 5*y**2 - 8*y. Let n(g) = -4*g**3 + 7*g**2 - 12*g. Let d(i) = 5*n(i) - 7*z(i). Suppose d(m) = 0. Calculate m.
-2, 0, 2
Let s(x) be the first derivative of 49*x**6/6 - 112*x**5 + 1873*x**4/4 - 1238*x**3/3 - 610*x**2 - 200*x + 34. Determine w so that s(w) = 0.
-2/7, 2, 5
Let h(y) = -6*y + 6. Let s be h(1). Let o**2 + s + 1/2*o = 0. Calculate o.
-1/2, 0
Let r(d) be the second derivative of 1/105*d**7 + 0 - 1/15*d**4 - 2*d + 1/15*d**3 + 1/75*d**6 + 1/5*d**2 - 1/25*d**5. Factor r(y).
2*(y - 1)**2*(y + 1)**3/5
Let b(p) be the second derivative of -p**6/15 + p**5/2 - 3*p**4/2 + 7*p**3/3 - 2*p**2 - 8*p. Factor b(k).
-2*(k - 2)*(k - 1)**3
Let c(b) = -2*b**2 + 5*b + 27. Let k(l) = -3*l**2 + 5*l + 28. Let q(s) = 2*c(s) - 3*k(s). Solve q(p) = 0.
-2, 3
Let t(g) be the second derivative of g**8/13440 - g**7/1008 + 7*g**6/1440 - g**5/80 + g**4/2 - 2*g. Let w(j) be the third derivative of t(j). Factor w(q).
(q - 3)*(q - 1)**2/2
Let f(o) be the first derivative of -o**4/8 - 2*o**3/3 - 12. Factor f(l).
-l**2*(l + 4)/2
Let m(q) be the third derivative of 1/100*q**5 - 1/20*q**4 + q**2 + 1/10*q**3 + 0*q + 0. Factor m(j).
3*(j - 1)**2/5
Determine n, given that 144*n**2 + 1 - 5*n - 25*n + 6*n + 0 = 0.
1/12
Let o(p) be the first derivative of 19/4*p**4 + 8*p**2 + 25/3*p**3 + 1/6*p**6 + 7/5*p**5 + 4*p + 5. What is m in o(m) = 0?
-2, -1
Let k be 51/7 + -3 - (-2)/(-7). Factor 0 + 2/7*o**k - 2/7*o + 6/7*o**2 - 6/7*o**3.
2*o*(o - 1)**3/7
Let o(h) be the first derivative of h**3/3 + 5*h**2 + 25*h - 9. Suppose o(f) = 0. What is f?
-5
Let 24/5*p**2 + 21/5*p + 0 + 3/5*p**3 = 0. What is p?
-7, -1, 0
Let b(s) be the first derivative of s**4/4 - 2*s**3/3 - 12. Factor b(j).
j**2*(j - 2)
Let f(c) be the first derivative of 4*c**3/3 + 16*c**2 - 6. Factor f(s).
4*s*(s + 8)
Let v(k) be the first derivative of -2 + 4/9*k - 1/9*k**2 - 2/27*k**3. Factor v(i).
-2*(i - 1)*(i + 2)/9
Suppose 5*j = -2*f - 187, f - 153 = 4*j + 6*f. Let c = 113/3 + j. Factor c*u**2 + 0 + 10/9*u**3 - 4/9*u.
2*u*(u + 1)*(5*u - 2)/9
Let m(s) = 12*s**2 + 32*s + 16. Let z(q) = 4*q**2 + 11*q + 5. Let r(x) = -5*m(x) + 16*z(x). Factor r(y).
4*y*(y + 4)
Let v(t) be the third derivative of 0 + 7/120*t**5 + 1/2*t**3 - 23/48*t**4 + 8*t**2 + 0*t. What is a in v(a) = 0?
2/7, 3
Suppose 8/9*a**3 + 2/9*a**5 + 0*a**2 - 8/9*a**4 + 0 + 0*a = 0. What is a?
0, 2
Factor 29*h**2 - 50*h + 1 + 8 + 96*h**2 - 4.
5*(5*h - 1)**2
Suppose 5*l - l = 8. Let d = -3943/5 + 791. Determine o so that -d - 48/5*o + 27/5*o**l = 0.
-2/9, 2
Suppose 3*p + 1 = 5*h - 10, -5*h = -4*p - 8. Factor -4/5 + 22/5*i - 32/5*i**2 + 14/5*i**p.
2*(i - 1)**2*(7*i - 2)/5
Let l = -3 - -5. Find m, given that 3*m**2 + m - m**3 - m - l*m = 0.
0, 1, 2
Let k be (-3039)/84 + (-3)/(-7). Let p = k + 75/2. Factor -1/2*c**2 - p*c**3 + 0 + 0*c.
-c**2*(7*c + 2)/4
Let l = -33 + 33. Let d(p) be the third derivative of -1/480*p**6 + 0*p**5 - 2*p**2 + 0*p**3 + 0*p + 1/96*p**4 + l. Determine j, given that d(j) = 0.
-1, 0, 1
Let 24*z - 180 - 5*z**2 + 7*z + 29*z = 0. Calculate z