 - 4/7*d**2 + 8/21*d**3. Factor i(n).
2*(n - 2)**2*(n - 1)/7
Let y(r) be the second derivative of -2/3*r**2 - 3*r + 1/18*r**4 + 0 + 1/9*r**3. Let y(v) = 0. What is v?
-2, 1
Let z(i) be the first derivative of 3/4*i**2 + 1/8*i**6 - 9 - 3/4*i**5 + 27/16*i**4 + 0*i - 7/4*i**3. Factor z(t).
3*t*(t - 2)*(t - 1)**3/4
Let x(n) = -n**3 - 6*n**2 - 5*n. Suppose -4 = 4*c + 3*g + 1, 3*g - 15 = 0. Let v be x(c). Let 0 + 1/3*a**5 - 1/3*a**3 + 0*a + 0*a**2 + v*a**4 = 0. What is a?
-1, 0, 1
Let o = 16 - 47/3. Factor 4/3*z**2 - 4/3*z + 0 - o*z**3.
-z*(z - 2)**2/3
Suppose 2*f + 8 = 0, 4*o + 5*f - 2*f + 4 = 0. Determine q, given that 0 + 1/4*q - 1/4*q**o = 0.
0, 1
Let f be 4/60 + (-1)/(-3). Find o, given that -2/5*o**2 + 3/5*o**4 + 3/5*o - 1/5 - f*o**3 - 1/5*o**5 = 0.
-1, 1
Let w(u) be the third derivative of u**7/840 - u**5/40 - u**4/12 - u**3/2 - 3*u**2. Let k(x) be the first derivative of w(x). Factor k(n).
(n - 2)*(n + 1)**2
Let p(t) be the second derivative of t**4/3 - 2*t**3/3 + 4*t. Factor p(q).
4*q*(q - 1)
Suppose 0 = -0*w + 2*w - 4. Let r = -11 - -11. Let 2/5*i**3 - 2/5*i + 1/5*i**4 + r*i**w - 1/5 = 0. Calculate i.
-1, 1
Let m(t) be the third derivative of -t**6/360 + t**4/24 - t**3/6 - 5*t**2. Let n(c) be the first derivative of m(c). Factor n(v).
-(v - 1)*(v + 1)
Determine y, given that 2*y + 5/4*y**2 + 1/4*y**3 + 1 = 0.
-2, -1
Let -8*v**3 - 14*v**2 + 0*v + 14*v**4 + 12*v**3 - 4*v = 0. Calculate v.
-1, -2/7, 0, 1
Let f be 221/78 + (-1)/(-6). Factor -2*c**2 + 0*c**3 + 3*c**4 - 1 - c**5 - 5*c**f + 3*c**3 + 3*c.
-(c - 1)**4*(c + 1)
Let o(q) be the third derivative of -1/2*q**3 - 1/60*q**5 - 1/6*q**4 + 0*q + 0 + 4*q**2. Factor o(r).
-(r + 1)*(r + 3)
Let p(x) be the third derivative of 0*x**6 + 0*x + 1/525*x**7 + 0 - 2*x**2 + 0*x**4 + 1/15*x**3 - 1/75*x**5. Factor p(y).
2*(y - 1)**2*(y + 1)**2/5
Let z = -7 + 7. Let f be z*(5 + -3 + -1). Factor 1/4*o**3 + 0 + 0*o**2 + f*o.
o**3/4
Let c(u) be the third derivative of 0*u - 1/150*u**5 - 1/15*u**3 + 1/30*u**4 + 0 + u**2. Factor c(m).
-2*(m - 1)**2/5
Factor 2/3*o**3 - 5/3*o**4 + 0*o + 0 - o**5 + 0*o**2.
-o**3*(o + 2)*(3*o - 1)/3
Let z(i) = 2*i**3 - 14*i**2 + 23*i - 15. Let s be z(5). Solve 2/3*l**4 - 2*l**2 + 0 - 4/3*l + s*l**3 = 0 for l.
-1, 0, 2
What is n in -1/4*n**2 - 2*n - 7/4 = 0?
-7, -1
Factor -o + 7*o - 6*o**2 + 9*o**2.
3*o*(o + 2)
Suppose 2*x - 7 - 9 = 0. Factor -1 + 3 + 2*h**2 + x*h - 4*h.
2*(h + 1)**2
Solve 3*f**2 - 2*f**2 - 18*f + 49 - 10 + 42 = 0 for f.
9
Let k(g) be the second derivative of 0*g**2 - 8*g + 1/48*g**4 + 0 + 1/24*g**3. Factor k(p).
p*(p + 1)/4
Let q(d) be the second derivative of d**2 - 1/2*d**3 + 0 + 1/12*d**4 - 2*d. Factor q(n).
(n - 2)*(n - 1)
Let m = -520/9 + 58. Factor -8/9*b**4 + 2/9*b**5 + m*b + 0 - 8/9*b**2 + 4/3*b**3.
2*b*(b - 1)**4/9
Let h = -63/5 - -13. Let w(v) be the second derivative of -1/10*v**5 + 1/3*v**3 + h*v**2 - 1/15*v**4 + v + 0. Let w(p) = 0. What is p?
-1, -2/5, 1
Let j(u) be the second derivative of 1/18*u**3 - 1/18*u**4 + 0 + 0*u**2 + 2*u + 1/60*u**5. Find c, given that j(c) = 0.
0, 1
Suppose 86*n**3 + 112*n - 22*n**4 - 2*n**2 - 26 + 6 - 144*n**2 + 2*n**5 - 12 = 0. Calculate n.
1, 4
Let p(w) be the first derivative of w**4 - 4*w**3/3 - 2*w**2 + 4*w + 2. Factor p(q).
4*(q - 1)**2*(q + 1)
Factor -2/3*u**3 - 1/3*u**4 + 0*u**2 + 1/3*u**5 + 0 + 0*u.
u**3*(u - 2)*(u + 1)/3
Let t(a) be the third derivative of -a**8/1344 - a**7/840 + a**6/240 + a**5/120 - a**4/96 - a**3/24 - 6*a**2. Factor t(k).
-(k - 1)**2*(k + 1)**3/4
Factor 6*c + 0*c**2 - 17*c**2 + 8*c**2 + 7*c**2.
-2*c*(c - 3)
Let d be 46/130 + 6/(-39). Factor d*w**2 - 2/5*w + 1/5.
(w - 1)**2/5
Let t(q) = 8*q**3 + 4*q**2 - 16*q + 4. Let m(w) = 7*w**3 + 3*w**2 - 15*w + 5. Let r(h) = 4*m(h) - 3*t(h). Find g such that r(g) = 0.
-2, 1
Let i be (-44)/140 + (-2)/(-10). Let v = 106/315 + i. Determine f so that -v*f**4 + 0 + 2/9*f**2 - 2/9*f**5 + 0*f + 2/9*f**3 = 0.
-1, 0, 1
Let t be 21/84*(0 + 12). Let o(r) be the first derivative of -2/3*r**t - 6*r**2 - 18*r - 1. Factor o(w).
-2*(w + 3)**2
Let q(k) = -k**2 + 4*k - 3. Let u be q(3). Let s be (-3)/(18/(-4)) + u. Suppose 1/3*j**2 + 1/3 - s*j = 0. Calculate j.
1
Let z = 32 - 17. Let z*o - 15*o + o**2 - o**3 = 0. Calculate o.
0, 1
Suppose 20/3*l - 5/3*l**2 - 20/3 = 0. What is l?
2
Let s = 117 + -114. Let a(y) be the first derivative of -1/2*y**6 + 0*y + 3 + 0*y**4 + 0*y**2 - 6/5*y**5 + 0*y**s. Factor a(h).
-3*h**4*(h + 2)
Let z = 6 + -1. What is w in z*w**4 - 27*w**5 - 4*w**4 - 54*w**2 + 24*w + 12 + 87*w**3 - 63*w**2 + 20*w**4 = 0?
-2, -2/9, 1
Let d(r) be the third derivative of 0*r**3 - 1/20*r**5 - r**2 + 0*r + 0 - 1/8*r**4. Determine f so that d(f) = 0.
-1, 0
Let g(i) be the first derivative of i**5/300 - i**3/30 - i**2/2 - 3. Let n(x) be the second derivative of g(x). Factor n(z).
(z - 1)*(z + 1)/5
Solve 0*y**2 - 8*y**3 + 4*y**3 - 6*y**2 + 4*y = 0.
-2, 0, 1/2
Let l(r) be the third derivative of -r**6/60 - r**5/15 - 6*r**2. Let l(d) = 0. Calculate d.
-2, 0
Suppose 2*h = -2*a - 8, 25 = 2*h - 7*h - 4*a. Let k = h - -11. Factor -2/3*v + 1/3 + 1/3*v**k.
(v - 1)**2/3
Let n(u) be the second derivative of u**7/11340 - u**4/4 + u. Let q(i) be the third derivative of n(i). Factor q(h).
2*h**2/9
Let x(j) be the third derivative of 0*j - 2/21*j**3 - 1/105*j**5 + 0 + 4*j**2 + 5/84*j**4. Let x(f) = 0. Calculate f.
1/2, 2
Let n(i) be the first derivative of 3/11*i**2 + 0*i - 5 - 2/33*i**3. Factor n(k).
-2*k*(k - 3)/11
Let q(g) be the first derivative of 0*g**3 + 1/18*g**4 - 1 + 0*g - 1/9*g**2. Factor q(m).
2*m*(m - 1)*(m + 1)/9
Let z(b) be the second derivative of 0 - 1/6*b**4 + 8/7*b**2 + 9*b + 26/21*b**3. Factor z(w).
-2*(w - 4)*(7*w + 2)/7
Suppose -2*r = 10, -3*f - 11 = -5*f + r. Suppose f = -2*i + 9. Solve 10*z + 4 - i*z**4 + 0*z**2 + 3*z**2 + 3*z**2 + z**4 - 2*z**3 = 0.
-1, 2
Let u(p) be the third derivative of p**8/50400 + p**7/12600 - p**5/20 - p**2. Let n(a) be the third derivative of u(a). Solve n(o) = 0.
-1, 0
Let j(z) be the second derivative of -z**4/12 + z**3/2 + 5*z. Suppose j(p) = 0. Calculate p.
0, 3
Let a(m) = -2*m**4 + 7*m**3 + 6*m**2 - 15*m + 4. Let u(n) = -n**4 + 4*n**3 + 3*n**2 - 8*n + 2. Let s(l) = -3*a(l) + 5*u(l). Factor s(k).
(k - 1)**3*(k + 2)
Let v(z) be the third derivative of -z**7/525 - z**6/100 - z**5/50 - z**4/60 - 17*z**2. Factor v(n).
-2*n*(n + 1)**3/5
Let j = -644 + 646. Factor -8/3 - 2/3*o**j - 8/3*o.
-2*(o + 2)**2/3
Suppose -3*b + 4 + 4 = w, -5*b + 6 = -2*w. Let v be b + ((-68)/14)/(-1). Factor 0 + 0*r - 8/7*r**2 + v*r**3 - 14*r**5 - 6*r**4.
-2*r**2*(r + 1)*(7*r - 2)**2/7
Let p(u) = 2*u - 3. Let x be p(3). Let k(j) be the first derivative of 5/6*j**4 - 2/15*j**5 - 1 + 0*j + 4/3*j**2 - 16/9*j**x. Factor k(q).
-2*q*(q - 2)**2*(q - 1)/3
Let q be (-3)/(-5)*(-200)/(-176). Let w = q + -2/11. Solve -5*j**2 + 5*j**3 + 5/2*j + w*j**5 - 1/2 - 5/2*j**4 = 0.
1
Factor 4/3 + 5*i + 3*i**2.
(3*i + 1)*(3*i + 4)/3
Let x(b) be the second derivative of 1/6*b**2 + 0 - 4*b - 1/36*b**4 + 0*b**3. Factor x(n).
-(n - 1)*(n + 1)/3
Let x = -341660 - -72773716/213. Let s = x + 2/71. Suppose s - 2/3*l**2 + 1/3*l**3 - 1/3*l = 0. Calculate l.
-1, 1, 2
Let j be (-21)/(-9) + (-4)/(-6). Factor -8*y**2 - y**5 + 2 + 2 + 2*y - 6*y - j*y**5 + 8*y**3 + 4*y**4.
-4*(y - 1)**3*(y + 1)**2
Let s(h) = -h - 2. Suppose -5*q - 6 - 14 = 0. Let v be s(q). Determine o so that -3*o**4 + 0*o**2 - o**2 - v*o**4 + 6*o**4 = 0.
-1, 0, 1
Suppose 5 - 1 - 10*g - 2*g**2 + 3 + 5 = 0. Calculate g.
-6, 1
Solve -1/8*o**5 + 0*o**2 - 1/8*o**4 + 0 + 0*o + 1/4*o**3 = 0.
-2, 0, 1
Let y = -3 + 10/3. Find q, given that 1/3*q + 1/3 - 1/3*q**2 - y*q**3 = 0.
-1, 1
Let j = -428 + 430. Factor -9/4 - 1/4*u**j + 3/2*u.
-(u - 3)**2/4
Suppose 4*c = -2*a - 12, 2*c + 30 = 2*a + 12. Factor 0 + 0*u - 14/9*u**3 - 16/9*u**a - 4/9*u**2 - 2/3*u**5.
-2*u**2*(u + 1)**2*(3*u + 2)/9
Let p = 209 + -209. Solve -4/5*k**5 + 0*k**2 + 2/5*k**3 - 2/5*k**4 + p + 0*k = 0.
-1, 0, 1/2
Determine n so that -3/8*n**4 - 3/4 - 21/8*n - 15/8*n**3 - 27/8*n**2 = 0.
-2, -1
Let o(i) be the second derivative of 4*i + 4*i**2 + 4/3*i**3 + 0 + 1/6*i**4. Determine z so that o(z) = 0.
-2
Let k = -9 - -13. Solve 5*v**2 + 9*v**3 + 2*v**4 - v + 4*v**2 + k*v + v**4 = 0 for v.
-1, 0
Let m(w) be the first derivative of 0*w**5 + 0*w**2 - 1 - 1/14*w**4 + 1/21*w**6 + 0*w +