 of y**6/75 - 3*y**5/50 + 4*y**3/15 - 6*y. Determine c so that v(c) = 0.
-1, 0, 2
Suppose 7*b - 7 = -2*k + 10*b, 0 = 2*k + 5*b + 1. Factor 0*s**k + 0*s + 2*s**4 - 4/3*s**5 + 4/3*s**3 + 0.
-2*s**3*(s - 2)*(2*s + 1)/3
Let k(u) be the second derivative of -1/9*u**3 + 1/18*u**4 - 3*u + 0 + 0*u**2. Suppose k(p) = 0. What is p?
0, 1
Let j(z) be the third derivative of -1/10*z**5 + 0 + 4*z**2 + 1/4*z**4 + 1/60*z**6 - 1/3*z**3 + 0*z. Determine o so that j(o) = 0.
1
Suppose u - 30 = -26. Let q(o) be the third derivative of -1/72*o**u + 0*o - 1/180*o**5 + 2*o**2 + 0 + 1/9*o**3. What is k in q(k) = 0?
-2, 1
Let h(x) be the first derivative of 0*x + 0*x**3 + 1/2*x**4 + 3 + 0*x**2. Find s such that h(s) = 0.
0
Let o be 93/108 - (-2)/36*-2. Factor 3/4*h**3 + o*h**2 + 1/4*h + 1/4*h**4 + 0.
h*(h + 1)**3/4
Let i be 2 - (6/4)/(9/(-12)). Factor 2/5*b**2 + 0*b + 2/5*b**i + 0 - 4/5*b**3.
2*b**2*(b - 1)**2/5
Let h be -1 + 6*(-8)/(-30). Suppose h*u**2 - 1/5*u**4 - 2/5 - 1/5*u + 1/5*u**3 = 0. Calculate u.
-1, 1, 2
Let a(y) be the second derivative of y**8/840 - y**7/210 + y**5/30 - y**4/12 + y**3/3 - 3*y. Let s(n) be the second derivative of a(n). Factor s(q).
2*(q - 1)**3*(q + 1)
Let q be (2 + 1)*14/21. Let t(p) be the third derivative of p**q + 0*p - 2/9*p**3 - 7/36*p**4 - 1/18*p**5 + 0. Factor t(f).
-2*(f + 1)*(5*f + 2)/3
Suppose -y + 28 = 4*s + 3*y, s + 3*y - 17 = 0. Factor -11*q + 4 + 4*q**s - 12*q**2 - 3*q + 0*q.
-2*(q + 2)*(4*q - 1)
Let t(h) be the third derivative of h**7/3360 - h**3/2 - 4*h**2. Let p(g) be the first derivative of t(g). Factor p(b).
b**3/4
Find l such that -9*l**4 + l - 3*l**3 + 2*l + 8*l**2 + 0*l**2 + l**2 = 0.
-1, -1/3, 0, 1
Let w(v) = v**3 + 6*v**2 - 2*v - 7. Suppose -5*t - 4*p - 23 = -5, -30 = 3*t - 4*p. Let x be w(t). Suppose x*l**3 - 1 - l - 3*l**3 - 5*l + 5 = 0. What is l?
-2, 1
Let b(f) = 24*f**4 + 20*f**3 - 16*f**2 - 66*f - 54. Let p(g) = 5*g**4 + 4*g**3 - 3*g**2 - 13*g - 11. Let y(a) = -3*b(a) + 14*p(a). Let y(t) = 0. What is t?
-2, -1, 2
Suppose w - 25 = -5*o - 2*w, -2*o = w - 9. Let 3/2*b**4 + 0 + 13/4*b**3 + 3*b**o + 1/4*b**5 + b = 0. Calculate b.
-2, -1, 0
Let b(n) be the first derivative of -1/80*n**5 - 2 - n - 1/8*n**2 + 1/24*n**3 + 1/48*n**4. Let d(g) be the first derivative of b(g). Factor d(f).
-(f - 1)**2*(f + 1)/4
Suppose -15*k**4 - 6*k**2 + 19*k**3 - 22*k**3 - 18*k**3 = 0. Calculate k.
-1, -2/5, 0
Let z**2 - 25*z**3 - 3*z**2 - z + 24*z**3 = 0. What is z?
-1, 0
Let g(t) = -6*t. Let l be g(-1). Let q(m) be the second derivative of -5/12*m**3 + 0 - 1/2*m**2 - 1/8*m**4 - m + 1/60*m**l + 1/40*m**5. What is f in q(f) = 0?
-1, 2
Let s(o) be the second derivative of 20*o**4/3 - 20*o**3 + 45*o**2/2 + 5*o. Factor s(f).
5*(4*f - 3)**2
Let v(u) = -u**3 + u**2 + 3*u + 3. Let g be v(-1). Let p = -1 - -1. Factor -1/2*x + p*x**3 + x**4 + 1/2*x**5 + 0 - x**g.
x*(x - 1)*(x + 1)**3/2
Let o(r) be the first derivative of r**4 - r**3/2 + 8*r + 3. Let h(q) be the first derivative of o(q). Suppose h(u) = 0. What is u?
0, 1/4
Let a(w) be the second derivative of 4*w + 0*w**2 + 0*w**3 - 1/36*w**4 + 0. Let a(n) = 0. Calculate n.
0
Let f(w) be the third derivative of -w**10/50400 - w**9/20160 + w**8/6720 + w**7/1680 - w**5/20 - 4*w**2. Let y(x) be the third derivative of f(x). Factor y(p).
-3*p*(p - 1)*(p + 1)**2
Suppose 0 = -j - 3*v + 9, -2*j + 6*j = 4*v - 12. Suppose -4 + j = -2*f. Factor -2*g + g**f + 5 - 5.
g*(g - 2)
Let j = 16 + -13. Determine g so that -4*g**2 - 2*g - 3*g**4 + 2*g - g**4 + 8*g**j = 0.
0, 1
Let k(b) be the first derivative of -1/6*b**2 - 2/9*b**3 - 3 + 1/18*b**6 + 2/15*b**5 + 0*b**4 + 0*b. Factor k(x).
x*(x - 1)*(x + 1)**3/3
Let 0 + 4/5*r - 42/5*r**2 + 72/5*r**5 - 178/5*r**4 + 144/5*r**3 = 0. What is r?
0, 2/9, 1/4, 1
Let h be ((-8)/(-220))/((-3)/(-15)). Let 0*j + h*j**2 + 0 = 0. Calculate j.
0
Let t(v) be the first derivative of -v**3 - 3*v**2/2 + 8*v + 5. Let d(s) = 3*s**2 + 3*s - 9. Let l(y) = -2*d(y) - 3*t(y). Suppose l(c) = 0. Calculate c.
-2, 1
Let j(p) be the second derivative of -p**8/15680 + p**6/1680 - p**4/12 - p. Let k(m) be the third derivative of j(m). Factor k(c).
-3*c*(c - 1)*(c + 1)/7
Let f = -235 + 238. Let -2*t**2 - 28/9*t**f - 4/9*t**5 + 0 - 4/9*t - 2*t**4 = 0. What is t?
-2, -1, -1/2, 0
Suppose -15*h + 12*h + 12 = 5*p, -5*h + 20 = -p. Suppose 5*d - 13 + 3 = 0. Factor p - u**d - 1/3*u**4 + u**3 + 1/3*u.
-u*(u - 1)**3/3
Let q(l) be the second derivative of 0*l**5 - 2*l - 2/75*l**6 + 0*l**2 - 1/15*l**3 + 1/15*l**4 + 1/105*l**7 + 0. Factor q(n).
2*n*(n - 1)**3*(n + 1)/5
Let l(v) be the first derivative of -v**4 + 6*v**3 - 13*v**2 + 12*v - 5. Factor l(q).
-2*(q - 2)*(q - 1)*(2*q - 3)
Let n(o) be the first derivative of 1/4*o**2 + 1/6*o**3 - 1/8*o**4 - 1/2*o - 2. Find s, given that n(s) = 0.
-1, 1
Let s be ((-1)/(-1))/((-2)/4). Let c(v) = -2*v. Let m be c(s). Factor -1/4*f + 3/4*f**3 - 1/2*f**m + 0 + 0*f**2.
-f*(f - 1)**2*(2*f + 1)/4
Let g(z) = -6*z**2 - 19*z + 17. Let i(u) = u - 1. Let n(b) = -g(b) - 5*i(b). Factor n(l).
2*(l + 3)*(3*l - 2)
Suppose 7*h - 2*h = 2*p + 90, h + 4*p + 4 = 0. Suppose 4*n = j + n + 10, -4*j + h = 2*n. Let -1/3*t + 0 - 1/3*t**j = 0. What is t?
-1, 0
Let w(i) = 11*i**4 - 6*i**3 + 6*i**2 - 2*i + 9. Let n = 2 + 7. Let s(x) = -5*x**4 + 3*x**3 - 3*x**2 + x - 4. Let m(t) = n*s(t) + 4*w(t). Factor m(v).
-v*(v - 1)**3
Factor -4/5*p**3 + 2/5*p + 4/5*p**2 - 2/5*p**4 + 2/5*p**5 - 2/5.
2*(p - 1)**3*(p + 1)**2/5
Let q(t) = 4*t**2 - 160*t + 580. Let p(i) = -i**2 + 53*i - 193. Let d(o) = 8*p(o) + 3*q(o). Solve d(n) = 0 for n.
7
What is z in 2/13*z + 2/13*z**2 - 4/13 = 0?
-2, 1
Let x(r) be the second derivative of r**4/6 - 8*r**3/3 - 9*r**2 + 28*r. Determine v so that x(v) = 0.
-1, 9
Let u be -1*-2*9/6. Factor 2*m**4 - 8*m - 23 + 6*m**3 + 6*m**2 + 3*m**u - m**3 + 15.
2*(m - 1)*(m + 1)*(m + 2)**2
Let k(m) be the first derivative of -1/3*m**3 - 4*m + 2*m**2 - 1. Solve k(p) = 0 for p.
2
Let a be (-4)/14 + (-115)/(-35). Suppose 6*d - a = 9. Find g, given that -2/3*g**d + 2*g - 4/3 = 0.
1, 2
Let a = 43/124 + -3/31. Let -p**2 + p + 0 + a*p**3 = 0. What is p?
0, 2
Let f(a) be the first derivative of -2 + 1/8*a - 1/8*a**2 + 1/24*a**3. Suppose f(g) = 0. What is g?
1
Let v(l) be the second derivative of 0*l**2 + 1/3*l**4 - 3*l + 1/6*l**3 + 0. Let v(i) = 0. What is i?
-1/4, 0
Suppose -2/3*r**4 + 0 + 4/3*r - 10/3*r**2 + 8/3*r**3 = 0. What is r?
0, 1, 2
Determine p so that -2/17*p**3 - 30/17*p + 14/17*p**2 + 18/17 = 0.
1, 3
Find q such that -2/5*q**2 - 12/5 + 2*q = 0.
2, 3
Let q(v) be the third derivative of -v**9/20160 + v**8/3360 - v**7/1680 + v**5/15 - 6*v**2. Let h(a) be the third derivative of q(a). Let h(z) = 0. Calculate z.
0, 1
Let o(x) be the third derivative of x**8/6720 - x**7/420 + x**5/60 + 8*x**2. Let a(w) be the third derivative of o(w). Factor a(b).
3*b*(b - 4)
Let o = -2/93 + 61/1395. Let c(n) be the second derivative of 1/18*n**4 + 0 + 1/63*n**7 + 0*n**2 + 0*n**3 - o*n**6 + 2*n - 1/30*n**5. Factor c(w).
2*w**2*(w - 1)**2*(w + 1)/3
Factor -32 + 4*d**3 + 53*d + 204*d**2 - 244*d**2 + 15*d.
4*(d - 8)*(d - 1)**2
What is p in -2/7*p**4 - 2/7 - 8*p**3 + 4*p + 4/7*p**2 + 4*p**5 = 0?
-1, 1/14, 1
Let f be (4/(-3))/(2260/(-270) - -8). Find u such that f*u**2 - 2*u**3 - 4/5 + 2*u - 14/5*u**4 = 0.
-1, 2/7, 1
Let t(y) = y + 0*y + 7 - 3 + 0*y. Let d be t(-4). Let d*p**4 + 2*p - 4*p**3 + 0*p**4 + 0*p**4 + 2*p**5 = 0. Calculate p.
-1, 0, 1
Suppose -14 - 13*u**2 + 14 - 3*u**4 - 11*u**2 + 15*u**3 + 12*u = 0. Calculate u.
0, 1, 2
Let v be -2 - (3*(-5)/3 - -2). Let d(k) be the first derivative of -v + 1/14*k**4 + 0*k**3 - 1/7*k**2 + 0*k. What is l in d(l) = 0?
-1, 0, 1
Let g(r) = r + 5. Let v(z) = -z - 4. Let i(t) = 2*g(t) + 3*v(t). Let h be i(-4). Suppose -3/4*y**3 + 1/2*y**h + 0 + 1/4*y = 0. What is y?
-1/3, 0, 1
Let t(u) = 131*u**5 - 44*u**4 + 11*u**3 + 6*u**2 - 6. Let s(l) = -130*l**5 + 45*l**4 - 10*l**3 - 5*l**2 + 5. Let v(w) = -6*s(w) - 5*t(w). Factor v(g).
5*g**3*(5*g - 1)**2
Let x(s) be the first derivative of s**4 + 8*s**3/3 - 10*s**2 - 24*s + 6. Factor x(t).
4*(t - 2)*(t + 1)*(t + 3)
Let v(a) be the first derivative of -a**6/39 + 2*a**5/65 + 3*a**4/26 - 2*a**3/39 - 2*a**2/13 - 5. Let v(w) = 0. Calculate w.
-1, 0, 1, 2
Let z(l) = 2*l**2 + 11*l - 2. Let i be z(-6). Determine t, given that -4/7*t**3 + 0*t