**b + 1/42*r**4 - 4/21*r**3. Let y(n) = 0. What is n?
2
Let n(d) = 17*d**3 - 108*d**2 + 162*d - 74. Let r(j) = -6*j**3 + 36*j**2 - 54*j + 25. Suppose 23 + 82 = -5*i. Let o(f) = i*r(f) - 6*n(f). Factor o(p).
3*(2*p - 3)**3
Let k = 373122 - 194769577/522. Let u = k - -1/58. Factor 0 + u*f + 0*f**2 - 2/9*f**3.
-2*f*(f - 1)*(f + 1)/9
Let g(v) be the first derivative of 1/12*v**4 - 7 + 1/6*v**5 + 0*v**2 + 0*v + 0*v**3 + 1/12*v**6. Factor g(q).
q**3*(q + 1)*(3*q + 2)/6
Let s be -1 + -1 + -2 - 2. Let l be (s/3 - -5) + 2. Determine n, given that -10/9*n**2 + 10/9*n**4 + 2*n**3 - 4/9*n - 14/9*n**l + 0 = 0.
-1, -2/7, 0, 1
Factor 3*d**4 + 9*d**2 - 2*d**3 + 2*d - 6*d**2 - 6*d**2.
d*(d - 1)*(d + 1)*(3*d - 2)
Let k(q) = q**3 + 5*q**2 + 4*q + 4. Let o be k(-4). Let c = 0 + o. Suppose -8*a**2 + 4*a**3 + c*a**2 - 2*a**4 - 2*a + 4*a**4 + 2 - 2*a**5 = 0. What is a?
-1, 1
Let l(v) = 4*v**3 - 7*v**2 + 10*v + 7. Let n be (5 - -1)/3 - -5. Let w(f) = -f**3 + 2*f**2 - 3*f - 2. Let u(g) = n*w(g) + 2*l(g). Solve u(k) = 0 for k.
-1, 0, 1
Let c(m) be the third derivative of m**8/90720 + m**7/7560 + m**6/1620 + m**5/60 - 2*m**2. Let h(z) be the third derivative of c(z). Factor h(n).
2*(n + 1)*(n + 2)/9
Factor 3*y**3 + 2*y**2 - 8*y**2 - 2*y**2 - y**3.
2*y**2*(y - 4)
Factor -14*p**4 - 3*p**2 + 0*p**2 + 17*p**4.
3*p**2*(p - 1)*(p + 1)
Let v(r) = 2*r**3 - 2*r**2 - 3*r + 3. Let d be v(2). Factor 4*c - c**3 - 4*c**2 - 2*c**2 + 4*c**2 - d*c.
-c*(c + 1)**2
Let g(m) = 6*m**3 + 20*m**2. Let q(s) = 2*s**3 + 7*s**2. Let r(v) = 3*g(v) - 10*q(v). Find k, given that r(k) = 0.
-5, 0
Let a be 54/(-21) - 4/(-7). Let h(z) = -6*z - 9. Let f be h(a). Factor -15*u**f - 15/2*u - 3/2*u**5 - 15*u**2 - 15/2*u**4 - 3/2.
-3*(u + 1)**5/2
Let t(z) be the second derivative of 1/2*z**4 + 3/20*z**5 - 2*z + 0 + 1/2*z**3 + 0*z**2. Factor t(y).
3*y*(y + 1)**2
Let l(w) be the first derivative of w**4/48 - w**3/24 + w + 3. Let n(z) be the first derivative of l(z). Find t such that n(t) = 0.
0, 1
Let m(c) be the second derivative of 1/12*c**4 - 2*c + 0*c**3 - 1/30*c**6 + 0 + 0*c**5 + 0*c**2. Factor m(i).
-i**2*(i - 1)*(i + 1)
Factor 4/9 + 26/9*r**2 - 10/3*r.
2*(r - 1)*(13*r - 2)/9
Let s = 86 + -171/2. Let p(r) be the second derivative of -r - 2/3*r**3 - 1/10*r**5 - s*r**4 + 0 + 0*r**2. Suppose p(i) = 0. What is i?
-2, -1, 0
Let t(c) be the second derivative of 0 - 2*c**2 + 3*c + 2/3*c**3 - 1/12*c**4. Let t(r) = 0. Calculate r.
2
Let p(m) = -m**2 + 7*m - 6. Let j(z) = z**2 - 6*z + 5. Let w(f) = 7*j(f) + 6*p(f). Factor w(o).
(o - 1)*(o + 1)
Find n such that -248*n**2 - 1 + 247*n**2 + 4 + 2*n = 0.
-1, 3
Let u(o) be the second derivative of -1/6*o**3 + 0*o**2 + 1/900*o**6 + 0*o**5 - 1/60*o**4 + 0 - 3*o. Let g(t) be the second derivative of u(t). Factor g(c).
2*(c - 1)*(c + 1)/5
Determine i so that -782 + 392 - 25*i + 390 - 35*i**2 = 0.
-5/7, 0
Let f(m) be the third derivative of m**6/200 + m**5/50 + 17*m**2. Determine z, given that f(z) = 0.
-2, 0
Factor 10*s**2 + s**5 + 4*s**5 + 33*s**4 - 43*s**4 - 5*s.
5*s*(s - 1)**3*(s + 1)
Let n(p) be the first derivative of -p**5/210 + p**4/42 - p**3/21 - p**2/2 + 2. Let u(b) be the second derivative of n(b). Factor u(v).
-2*(v - 1)**2/7
Let 0 + 4/7*l - 2*l**2 = 0. What is l?
0, 2/7
Let v(p) = -p**3 - 7*p**2 - p - 5. Let l be v(-7). Factor 12*u - u**3 - u**l + 5*u**3 - 15*u**2.
4*u*(u - 3)*(u - 1)
Let s(f) be the third derivative of -f**8/6720 + f**7/1680 + f**6/120 - f**5/30 - 6*f**2. Let i(t) be the third derivative of s(t). Let i(m) = 0. What is m?
-1, 2
Find p, given that -4/3 - p**2 + 1/6*p**3 + 2*p = 0.
2
Let s be 69/9*3 + 3. Suppose -5*c - 6 + s = 0. Solve -2*r**3 + 1 + 2*r**2 - 1 - 1 + r**5 - c*r**4 + r + 3*r**4 = 0.
-1, 1
Let b = 49/150 + 1/150. Factor -b*i**2 - 1/3 + 2/3*i.
-(i - 1)**2/3
Let w = -57 - -175/3. Factor 2/3*x - w + 2/3*x**2.
2*(x - 1)*(x + 2)/3
Let s(u) be the second derivative of -u**5/4 - 5*u**4/4 - 5*u**3/2 - 5*u**2/2 - 24*u. Let s(z) = 0. What is z?
-1
Let o = 263/30 - 81/10. Find r such that -2/3*r**3 + 2/3*r**2 - 2/3 + o*r = 0.
-1, 1
Let k = 1158/5 + -231. Determine w so that 6/5*w - k - 3/5*w**2 = 0.
1
Let q(j) be the second derivative of j**6/30 + j**5/5 - 8*j**3/3 - 8*j**2 - 2*j + 5. Factor q(n).
(n - 2)*(n + 2)**3
Let c(z) = z**2 - 2*z - 3. Suppose 5*k = -3*h + h + 21, 0 = 3*h - 2*k + 16. Let g be c(h). Factor -3*d**2 + 0 - 3*d**4 - 3/4*d - 9/2*d**3 - 3/4*d**g.
-3*d*(d + 1)**4/4
Suppose -3*n = -6*n + 12. Let l be ((-8)/10)/(2/(-5)). Factor 0 + 2*o**l + 0 + n*o + 2.
2*(o + 1)**2
Let 3 + 3 - 9*q - 3 + 3*q + 3*q**2 = 0. What is q?
1
Let c be (-1)/(-4) + 8/(-32). Let f = c - -4. Factor 0 + 1/2*q - 1/2*q**3 - 1/2*q**f + 1/2*q**2.
-q*(q - 1)*(q + 1)**2/2
Suppose 1 = 5*i - 4. Find p, given that 2*p**2 - i - 1 - 4*p - 6*p**2 + 2*p**2 = 0.
-1
Find q such that 2/3 - 2/3*q**5 + 2/3*q**4 - 4/3*q**2 - 2/3*q + 4/3*q**3 = 0.
-1, 1
Let n(s) = -s**2 + 11. Let k be 5/25 + (-2)/10. Let b be n(k). Factor b - x**3 + 3*x**3 - 11.
2*x**3
Let r(i) = -i**2 + 14*i + 2. Let a be r(14). Let h(y) be the first derivative of 0*y - 3/8*y**a - 3/16*y**4 + 1/2*y**3 - 1. Factor h(d).
-3*d*(d - 1)**2/4
Let j = -393 + 2757/7. Let z = j - 2/7. Factor 4/7*d**4 + 0 - z*d**2 + 0*d**3 - 2/7*d**5 + 2/7*d.
-2*d*(d - 1)**3*(d + 1)/7
Let v(s) be the first derivative of -3 + 9/4*s**2 - 1/4*s**3 - 27/4*s. Factor v(u).
-3*(u - 3)**2/4
Let t(j) = 27*j**3 + 26*j**2 + 9*j. Let m(o) = -o**2 - 1. Let k(a) = -a - 4. Let c be k(-5). Let y(x) = c*m(x) - t(x). Suppose y(g) = 0. What is g?
-1/3
Let m(w) be the third derivative of -w**2 + 0*w**3 + 0*w**4 + 0 - 1/160*w**6 - 1/240*w**5 + 0*w. Find n, given that m(n) = 0.
-1/3, 0
Let f be -2*1/5 + (-27)/(-30). Factor a + f*a**5 + 1/2*a**4 + 0 - 3/2*a**3 - 1/2*a**2.
a*(a - 1)**2*(a + 1)*(a + 2)/2
Let b(x) = 62*x**4 - 28*x**3 - 346*x**2 + 128*x + 608. Let g(a) = 41*a**4 - 19*a**3 - 231*a**2 + 85*a + 405. Let k(j) = -5*b(j) + 8*g(j). Factor k(l).
2*(l - 2)**2*(3*l + 5)**2
Let i(a) be the third derivative of a**8/6720 + a**7/420 + a**6/60 - a**5/30 - 4*a**2. Let k(b) be the third derivative of i(b). Factor k(n).
3*(n + 2)**2
Factor -8/9 + 4/9*w**2 + 4/9*w**4 + 4/3*w - 4/3*w**3.
4*(w - 2)*(w - 1)**2*(w + 1)/9
Let x(o) be the first derivative of o**4/6 - 4*o**3/9 + o**2/3 - 15. Factor x(w).
2*w*(w - 1)**2/3
Let m(a) = -38*a**4 - 8*a**3 + 29*a**2 - a - 4. Let y(f) = 39*f**4 + 8*f**3 - 30*f**2 + 5. Let i(l) = 3*m(l) + 2*y(l). Determine b so that i(b) = 0.
-1, -2/9, 1/2
Determine p so that -9*p**4 - 490*p**2 + 494*p**2 - p**4 + 6*p**3 = 0.
-2/5, 0, 1
Determine g so that -8/11*g**3 - 6/11*g**2 - 2/11 + 8/11*g**4 + 8/11*g = 0.
-1, 1/2, 1
Let u(h) = 5*h**3 - 2*h**2 + h - 4. Let t(x) = x**3 - 1. Let n(z) = 4*t(z) - u(z). What is i in n(i) = 0?
0, 1
Let k(f) be the second derivative of -8*f**6/25 - 36*f**5/25 - 31*f**4/20 + 3*f**3/10 + 3*f**2/5 - 3*f. Find o, given that k(o) = 0.
-2, -1, -1/4, 1/4
Let k(y) be the first derivative of 1/2*y**3 - 6 + 3*y - 9/4*y**2. Solve k(j) = 0.
1, 2
Find l such that 13*l - 53 + 49 - 72*l**2 + 16*l**3 + 20*l = 0.
1/4, 4
Let t(i) be the second derivative of -2*i - 1/80*i**5 + 1/48*i**4 + 0 + 1/24*i**3 - 1/8*i**2. Let t(n) = 0. What is n?
-1, 1
Let x(b) = 3*b**3 - 15*b**2 - 12*b + 24. Let r(f) = f**2. Let v(j) = -9*r(j) - x(j). Factor v(k).
-3*(k - 2)**2*(k + 2)
Let f be (-1)/((-4)/3 + 1). Suppose 3*p - f = -3*h, -3*h - p + 2 = -3. Factor 4/3*n - 2/3*n**h - 2/3.
-2*(n - 1)**2/3
Let h(u) be the second derivative of -u**5/90 - u**4/36 + 5*u**2/2 - 3*u. Let w(p) be the first derivative of h(p). Factor w(x).
-2*x*(x + 1)/3
Let f = -27/2 + 41/3. Solve 0*p + 1/6*p**3 + 0 - f*p**2 = 0 for p.
0, 1
Let n(g) be the second derivative of 0 - 1/90*g**6 - 10*g - 1/18*g**3 + 0*g**2 - 1/12*g**4 - 1/20*g**5. Factor n(a).
-a*(a + 1)**3/3
Find u such that 7*u**3 + 0*u**5 - 6*u**4 - 7*u**5 + 3*u**5 + 3*u**5 = 0.
-7, 0, 1
Let n(s) be the third derivative of -s**7/525 - s**6/150 + s**4/30 + s**3/15 - 9*s**2. Factor n(g).
-2*(g - 1)*(g + 1)**3/5
Factor 6*a + 5 - 5 + 4*a**2 - 2*a**2.
2*a*(a + 3)
Let v(j) be the third derivative of -j**7/735 + j**6/210 - j**5/210 + 17*j**2. What is f in v(f) = 0?
0, 1
Let g(f) be the second derivative of f**8/840 + f**7/210 - f**6/180 - f**5/30 - f**3/2 + f. Let l(d) be the second derivative of g(d). What is w in l(w) = 0?
-