of 3*k**5/20 + k**4 + 5*k**3/2 + 3*k**2 - 3*k. Let y(q) = 0. What is q?
-2, -1
Factor 0 + 4/7*z - 4/7*z**2 + 1/7*z**3.
z*(z - 2)**2/7
Let j(x) be the third derivative of 1/6*x**3 + 2*x**2 + 1/120*x**6 + 0*x - 1/24*x**4 + 0 - 1/60*x**5. Factor j(t).
(t - 1)**2*(t + 1)
Let p(s) be the first derivative of s**8/1960 + s**7/588 + s**6/630 - 2*s**3/3 + 4. Let v(y) be the third derivative of p(y). Let v(o) = 0. What is o?
-1, -2/3, 0
Let j(v) be the second derivative of -v**8/26880 + v**7/2016 - v**6/360 + v**5/120 + v**4/2 + 3*v. Let t(l) be the third derivative of j(l). Factor t(z).
-(z - 2)**2*(z - 1)/4
Let i(l) be the third derivative of l**5/60 - 5*l**4/24 + l**3 - l**2. Let j be i(4). Solve 2*k**3 + 0*k**2 - 6*k**3 - 2*k**j = 0.
-1/2, 0
Let 0*p + 0 + p**2 + 1/3*p**3 = 0. What is p?
-3, 0
Let w(o) be the first derivative of 1/3*o**2 - 5 + 2/3*o + 1/18*o**3. Factor w(x).
(x + 2)**2/6
Let s(d) be the second derivative of -d**6/10 + 9*d**5/20 - d**4/2 - 2*d. Factor s(g).
-3*g**2*(g - 2)*(g - 1)
Let d(v) be the first derivative of 0*v**4 + 0*v**2 + 0*v - 1 + 0*v**3 - 1/20*v**5. Determine y, given that d(y) = 0.
0
Let m be (2/3)/(2/9). Suppose 4*c - 68 = 5*g, 0*g - 12 = -2*c - m*g. Find f, given that 19*f**4 + c*f**3 + f - 51*f**4 - 8*f**2 + 16*f**5 + 12*f**3 = 0.
0, 1/2
Let -5/2*v**2 + 2*v**3 - 1/2*v**4 + v + 0 = 0. Calculate v.
0, 1, 2
Let h(t) be the third derivative of 0*t**3 + 0 + 1/210*t**7 - 9*t**2 - 1/60*t**5 + 1/60*t**6 + 0*t - 1/12*t**4. Find d such that h(d) = 0.
-2, -1, 0, 1
Let -5/3*o**2 + 2/3 + o = 0. What is o?
-2/5, 1
Factor -1000/9*i - 1250/9 - 100/3*i**2 - 2/9*i**4 - 40/9*i**3.
-2*(i + 5)**4/9
Let b(w) = -10*w**3 - 5*w**2 - 5. Let x(s) = 11*s**3 + 6*s**2 + s + 6. Let m(k) = -6*b(k) - 5*x(k). Factor m(v).
5*v*(v - 1)*(v + 1)
Let n(l) be the first derivative of -10*l**3/27 - 8*l**2/3 + 10*l/9 + 20. Factor n(v).
-2*(v + 5)*(5*v - 1)/9
Find u, given that 0 - 5*u**5 + 6*u**3 + 0 - u**3 = 0.
-1, 0, 1
Let v be 3/(-3) + (-3 - -8). Let u be -2*(v - 1)/(-12). Suppose -t + t**3 + u*t**2 - 1/2 = 0. What is t?
-1, -1/2, 1
Factor -3/2*g + 0 - 3/4*g**3 + 9/4*g**2.
-3*g*(g - 2)*(g - 1)/4
Let k = -2163/22 + 197/2. What is o in -2/11*o - k - 16/11*o**4 + 8/11*o**5 + 2/11*o**3 + 10/11*o**2 = 0?
-1/2, 1
Suppose 5*q = 3*l + 22, l = -4*q - l. Factor -y**2 - q*y + 0*y + 3*y.
-y*(y - 1)
Let d(l) be the first derivative of -l**4/36 + 5*l**3/27 - 7*l**2/18 + l/3 - 7. Factor d(g).
-(g - 3)*(g - 1)**2/9
Let k(z) be the second derivative of z**9/15120 + z**8/1680 + z**7/504 + z**6/360 - z**4/3 + 4*z. Let p(n) be the third derivative of k(n). Factor p(j).
j*(j + 1)**2*(j + 2)
Let t(h) be the first derivative of 2*h - 5 + 7/5*h**5 - 13/2*h**2 + 9*h**3 - 23/4*h**4. Suppose t(c) = 0. Calculate c.
2/7, 1
Factor 10/3*x**2 + 8/15*x**3 + 4/5*x + 0.
2*x*(x + 6)*(4*x + 1)/15
Let m(s) be the third derivative of 0*s - 1/210*s**7 - 13/60*s**5 + 1/2*s**4 + 0 + 1/20*s**6 - 2/3*s**3 - 5*s**2. Find r such that m(r) = 0.
1, 2
Let u = 26/15 + -122/105. Determine f, given that -10/7*f - u + 2*f**2 = 0.
-2/7, 1
Find d, given that 6/7*d - 2/7*d**3 + 0*d**2 + 4/7 = 0.
-1, 2
Suppose 5*d + 15 = 2*w, 7*w - 8*w + 3*d + 8 = 0. Let t = -211 + 1903/9. Factor -2*x**3 - 10/9*x**w + t*x**2 + 0*x + 0 + 8/3*x**4.
-2*x**2*(x - 1)**2*(5*x - 2)/9
Let h(a) be the third derivative of a**5/20 + a**4 + 8*a**3 + 51*a**2. Factor h(f).
3*(f + 4)**2
Let r = 53/10900 + -1/654. Let a(o) be the third derivative of o**2 + 0 - 1/15*o**3 + 0*o - 1/50*o**5 - 1/20*o**4 - r*o**6. Factor a(s).
-2*(s + 1)**3/5
Factor 4/3 + 8/3*w + 4/3*w**2.
4*(w + 1)**2/3
Factor -8/9*w**3 + 2/9*w**4 - 14/9 - 40/9*w - 4*w**2.
2*(w - 7)*(w + 1)**3/9
Let o(y) be the third derivative of 1/140*y**7 + 0 + 0*y + 0*y**4 - 1/40*y**5 + 2*y**2 + 1/224*y**8 + 0*y**3 - 1/80*y**6. Suppose o(b) = 0. Calculate b.
-1, 0, 1
Suppose 0 = -5*a - 13 + 33. Suppose -a*x + 3 + 5 = 0. Factor -7*w**2 + w**x - 4*w + 4*w**3 + 6*w**4 + 0*w**4.
2*w*(w - 1)*(w + 1)*(3*w + 2)
Let k(b) be the third derivative of -b**7/70 + 3*b**5/20 + b**4/4 + 32*b**2. Factor k(w).
-3*w*(w - 2)*(w + 1)**2
Determine j so that 93 - 20 - 58*j + 52 + 8*j + 5*j**2 = 0.
5
Let z(d) be the third derivative of -d**6/540 + 7*d**4/108 + 2*d**3/9 - 18*d**2. Solve z(c) = 0 for c.
-2, -1, 3
Let l(j) be the first derivative of -j**4/8 - j**3/2 - 3*j**2/4 - j/2 - 2. Factor l(f).
-(f + 1)**3/2
Let h(p) be the second derivative of -p**5/20 - p**4/12 + p**3/6 + p**2/2 - 2*p. Factor h(d).
-(d - 1)*(d + 1)**2
Suppose 0 = -m - 2*m + 9. Let s = 1 + m. Factor y**2 - 3*y**4 - 3*y**s + 5*y**4.
-y**2*(y - 1)*(y + 1)
Let m = 21 - 15. Solve -2*f + 2*f**2 + 2*f**2 + m*f - 4*f**4 - 2*f - 2*f**5 = 0 for f.
-1, 0, 1
Let t be 67/(-120) + 39/65. Let n(y) be the third derivative of 0 + 1/60*y**5 - 1/6*y**3 + 0*y - 1/120*y**6 + t*y**4 + y**2. Factor n(m).
-(m - 1)**2*(m + 1)
Let q = 64336 - 3216663/50. Let y = q - -3/50. Let -8/5*f**2 - y*f + 4/5 = 0. What is f?
-2, 1/4
Let d(f) be the third derivative of f**8/560 - f**7/175 - f**6/200 + f**5/50 + 3*f**2. Solve d(n) = 0 for n.
-1, 0, 1, 2
Suppose -2*i + 1 = 4*f - 3, 5*f + 4*i = 8. Factor -2*v**4 + 2*v + 2*v**3 + 5*v**2 + f*v**3 - 4*v - 3*v**2.
-2*v*(v - 1)**2*(v + 1)
Let b(f) be the first derivative of 7*f**3/3 + f**2/2 + 9*f + 2. Let r(n) = -4*n**2 - 5. Let s(d) = 3*b(d) + 5*r(d). Factor s(o).
(o + 1)*(o + 2)
Suppose -24*y**3 + 5*y**4 + 12/5 - 76/5*y + 159/5*y**2 = 0. What is y?
2/5, 1, 3
Suppose 0 = -4*l + 16, -5*l + 18 = -0*p + 2*p. Let a = p + 1. Solve 0*u**3 + 0*u**4 - 1/3*u**5 + a*u + 0*u**2 + 0 = 0 for u.
0
Suppose 0 = -f + 5 - 2. Let b be ((-4)/(-10))/(f/15). Factor -r**2 + 4*r**2 + 4*r - r**b.
2*r*(r + 2)
Let v(n) be the first derivative of 3*n**5/5 + 3*n**4/4 - 5*n**3 + 9*n**2/2 + 3. Factor v(w).
3*w*(w - 1)**2*(w + 3)
Let o = -519329/210 + 2473. Let u(s) be the third derivative of 0 - 1/24*s**4 + 0*s + 1/120*s**6 + 1/60*s**5 - o*s**7 - 4*s**2 + 0*s**3. Factor u(p).
-p*(p - 1)**2*(p + 1)
Factor -27*v**3 - 16 - 144*v**2 - 735*v - 96 - 38 - 132*v**2.
-3*(v + 5)**2*(9*v + 2)
Let j = 85/2 - 429/10. Let i = 76/15 + j. What is w in 2*w**3 - 8/3 + 0*w + i*w**2 = 0?
-2, -1, 2/3
Let v(f) be the third derivative of f**6/480 - f**5/80 - 2*f**2. Let v(i) = 0. What is i?
0, 3
Let v(n) be the first derivative of 11*n**3/3 + 3*n**2/2 - 5*n - 2. Let z(w) = 16*w**2 + 4*w - 7. Let b(u) = 7*v(u) - 5*z(u). Factor b(i).
-i*(3*i - 1)
Let 15 + 18*w + 3 + 3*w**2 + 9 = 0. What is w?
-3
Let n be 3/12 - (-28)/16. Factor -6*c**3 - 3*c**4 - 8*c**4 + 3*c**4 + 2*c**n + 0*c**2.
-2*c**2*(c + 1)*(4*c - 1)
Let z(k) be the first derivative of 2*k**2 - 1/3*k**3 - 1/120*k**5 + 1/12*k**4 + 0*k + 4. Let t(g) be the second derivative of z(g). Factor t(i).
-(i - 2)**2/2
Let o(q) be the third derivative of 0*q**3 + 0*q + 0 + 1/84*q**4 + 1/420*q**6 - 1/105*q**5 - q**2. Factor o(w).
2*w*(w - 1)**2/7
Let a(p) = 4*p**2 + 10*p - 2. Let w(m) = -20*m**2 - 51*m + 11. Let s = 9 + 2. Let b(v) = s*a(v) + 2*w(v). Factor b(f).
4*f*(f + 2)
Let i = -1 - -1. Let k be i + -4 + 36/7. Factor -k*h**2 + 18/7*h - 4/7.
-2*(h - 2)*(4*h - 1)/7
Let v = 1180/7 - 168. Solve 0 + 2/7*z**4 + 0*z - v*z**2 - 2/7*z**3 = 0 for z.
-1, 0, 2
Let s be 6 + (1 + -3 - 0). Factor -j**2 + 4*j**3 + 0*j**4 + 2*j**s + 3*j**2.
2*j**2*(j + 1)**2
Let g(i) be the first derivative of i**6/360 - i**5/80 + i**4/48 + 2*i**3/3 + 1. Let b(o) be the third derivative of g(o). Factor b(n).
(n - 1)*(2*n - 1)/2
Let l = -201867883/436 + 463000. Let r = -2/109 + l. Factor -1/4*x - r + 1/2*x**2.
(x - 1)*(2*x + 1)/4
Let t(m) = m**2. Let h(i) = 4*i**2 + 4*i. Let f = -13 + 7. Let r(s) = f*t(s) - h(s). Let r(x) = 0. What is x?
-2/5, 0
Let g(u) be the third derivative of 0*u**5 + 1/240*u**6 + 2*u**2 + 0*u**4 - 1/140*u**7 + 0 + 0*u + 0*u**3. Factor g(a).
-a**3*(3*a - 1)/2
Let u(a) = 2*a**2 + 27*a + 45. Let w(b) = -5*b**2 - 55*b - 90. Let v(f) = -5*u(f) - 3*w(f). Factor v(h).
5*(h + 3)**2
Let y(m) = 35*m + 2. Let a be y(8). Let l = a - 838/3. Factor -8/3*t**3 + 2*t**2 + 8/3*t + 2/3*t**4 - l.
2*(t - 2)**2*(t - 1)*(t + 1)/3
Let z be (-5 - -4)*(4 + -7). Factor 0 - 2/5*t**2 + 2/5*t**4 - 2/5*t + 2/5*t**z.
2*t*(t - 1)*(t + 1)**2/5
Let l(u) be the first derivative of -8*u**3/3 + 11*u**2 + 6*u + 1. Suppose l(f) = 0. What is f?
-1/4, 3
Let 7/6*w**2 + 4/3*w - 2/3 - 5/6*w**3 = 0