**4/9 - 4*l**3/9 - 6*l**2. Determine n so that p(n) = 0.
2/5, 2/3, 1
Let y = -8/71 + 111/355. Factor 0 - y*s**2 + 3/5*s.
-s*(s - 3)/5
Let r(q) be the first derivative of -q**4 - 7*q**3/3 - q**2 + q + 5. Let r(m) = 0. What is m?
-1, 1/4
Let p be 3*(8/(-6) + 2). What is l in -2*l + 3*l**2 - 5*l**2 - p*l**3 + l**2 + 5*l**2 = 0?
0, 1
Let v(k) be the third derivative of -k**7/315 - k**6/180 + k**5/30 + 5*k**4/36 + 2*k**3/9 + 16*k**2. Solve v(j) = 0.
-1, 2
Let g(c) be the second derivative of c**5/180 - c**4/54 - c**3/54 + c**2/9 - 5*c. What is f in g(f) = 0?
-1, 1, 2
Find m such that 6 - 46*m + 2 + 26*m + 24*m - 4*m**2 = 0.
-1, 2
Determine a, given that 18/7*a - 4/7 - 2*a**2 = 0.
2/7, 1
Let y(o) be the first derivative of -o**6/42 - o**5/7 + o**4/14 + 10*o**3/21 - o**2/14 - 5*o/7 - 32. Let y(r) = 0. What is r?
-5, -1, 1
Let s be 6/(-4)*((-26)/24 - -1). Factor 1/8*u**2 - s*u + 0 - 1/8*u**4 + 1/8*u**3.
-u*(u - 1)**2*(u + 1)/8
Let h(y) = y**2 + 14*y + 2. Let x(m) = -m**2 - 15*m - 3. Let t(q) = -6*h(q) - 5*x(q). Let v be t(-9). Factor 2/3*z**4 + 0*z**2 - 4/3*z - 2/3 + 4/3*z**v.
2*(z - 1)*(z + 1)**3/3
Solve -14*i**5 + 6*i**3 + 15*i**4 + 19*i**5 + 4*i**3 = 0 for i.
-2, -1, 0
Let v(j) be the second derivative of 2*j**7/147 - 3*j**5/35 - 2*j**4/21 - 8*j. Factor v(c).
4*c**2*(c - 2)*(c + 1)**2/7
Let q be ((-10)/(-4))/((-10)/(-8)). Factor -1/2*v**3 - 1/2*v**4 + 1/2*v**q + 1/2*v + 0.
-v*(v - 1)*(v + 1)**2/2
Suppose 4*w - w = -24. Let p = 8 + w. Solve 0*f + 0*f**3 + 0*f**4 + 0 + p*f**2 - 2/5*f**5 = 0 for f.
0
Let b = 34 - 11. Suppose 5*j = 4*d + b, -j - d + 3*d + 7 = 0. Factor -2/5*o**2 + 2/5*o**4 + 2/5*o**j + 0 - 2/5*o.
2*o*(o - 1)*(o + 1)**2/5
Find d, given that 0*d + 8/3 - 2/3*d**3 - 2*d**2 = 0.
-2, 1
Suppose -42 - 46 = 4*v. Let r be v/(-6) - 7/(-21). Determine g, given that 1/2*g + 5/2*g**2 + 2*g**4 + 0 + r*g**3 = 0.
-1, -1/2, 0
Let -17*k**2 + 4*k**3 - 27*k**2 + 60*k**2 = 0. Calculate k.
-4, 0
Let v be (-378)/220 + (-4)/(-2). Let n = v + -1/10. Factor -2/11*f + n*f**2 - 4/11.
2*(f - 2)*(f + 1)/11
Let b(q) be the first derivative of -28*q**6/3 - 96*q**5/5 + 37*q**4/2 + 58*q**3/3 - 24*q**2 + 8*q - 16. Let b(j) = 0. What is j?
-2, -1, 2/7, 1/2
Solve 4/3*u**3 + 14/3*u**5 + 0*u + 0 + 0*u**2 - 6*u**4 = 0 for u.
0, 2/7, 1
Let v(y) be the first derivative of y**6/120 + y**5/60 - y**4/24 - y**3/6 - 3*y**2/2 - 3. Let o(h) be the second derivative of v(h). Factor o(l).
(l - 1)*(l + 1)**2
Suppose -1 = 3*x - 10. Let g(v) be the first derivative of -1/3*v**x - 1 - 3/8*v**2 + 1/4*v. Find w, given that g(w) = 0.
-1, 1/4
Let w(f) be the third derivative of f**5/30 - f**4/12 - 2*f**3/3 + 8*f**2. Determine y, given that w(y) = 0.
-1, 2
Let c(q) be the third derivative of -5*q**8/28 - 2*q**7/105 + 2*q**6/5 + 4*q**5/15 - 23*q**2. Determine a, given that c(a) = 0.
-2/3, -2/5, 0, 1
Suppose 0 = 10*j - 12*j - 2*z, 0 = -2*j + 2*z. Let t(r) be the third derivative of -1/30*r**5 + 5*r**2 + 1/6*r**4 + 0*r + j + 0*r**3. Find o such that t(o) = 0.
0, 2
Let n be (32/(-17))/1 - -2. Factor -n*l**2 + 0 + 2/17*l**4 + 2/17*l - 2/17*l**3.
2*l*(l - 1)**2*(l + 1)/17
Let -1/3*c**2 + 1/3*c**3 - 1 - 5/3*c = 0. Calculate c.
-1, 3
Let l(q) = -q**3 - 3*q**2 - 2*q. Let m be l(-3). Determine o, given that 3*o - o**2 - 4 + m + 2*o**2 = 0.
-2, -1
Let v be 60/(-330) - (-32)/55. Factor 0 + 6/5*s**2 + v*s + 6/5*s**3 + 2/5*s**4.
2*s*(s + 1)**3/5
Let b(d) be the second derivative of d**5/10 - 7*d**4/6 + 5*d**3 - 9*d**2 + 17*d. Factor b(w).
2*(w - 3)**2*(w - 1)
Let d(r) be the second derivative of 9*r**5/50 - 2*r**4/3 + 13*r**3/15 - 2*r**2/5 + 7*r. Let d(o) = 0. Calculate o.
2/9, 1
Factor 1/3 - 10/3*n**2 - 20/3*n**3 - 5*n**4 + 0*n - 4/3*n**5.
-(n + 1)**4*(4*n - 1)/3
Let b(m) = m**3 + 5*m**2 - 5*m + 4. Let s be b(-6). Let d be (-4)/(-1) - (s - -4). Suppose -3*l + d + 2*l**3 - 4*l**3 + 6*l**2 - 3*l = 0. Calculate l.
1
Let t(q) = q**2 + q - 1. Let p(j) = 4*j**2 + 5*j - 3. Let x(n) = -p(n) + 3*t(n). Suppose x(u) = 0. What is u?
-2, 0
Let z(i) = -i**2 + 4*i + 4. Let c be z(5). Let x be (8/(-12))/(c/6). What is l in -4*l**4 - 2 + 6*l**2 + l**4 - 2*l + 2*l**3 + l**4 - 2*l**x = 0?
-1, -1/2, 1
Let s(j) = j**2 - 5*j + 2. Let b be s(3). Let m(o) = 2*o**2 + 2*o - 4. Let n(x) = -2*x**2 - 2*x + 4. Let w(z) = b*m(z) - 5*n(z). Solve w(l) = 0 for l.
-2, 1
Let d be (1*3)/(7/(3 + 4)). Let r(o) be the second derivative of o**2 + 0 + 1/4*o**5 + 1/6*o**3 - 2/3*o**4 - d*o. Find g, given that r(g) = 0.
-2/5, 1
Let d = -8 - -18. Determine i, given that -12 + 4 - 2*i**3 + i - 17*i - d*i**2 = 0.
-2, -1
Let y = 69 + -65. Let k(a) be the second derivative of 0*a**2 + 3*a + 0 - 1/54*a**y - 1/135*a**6 + 0*a**3 - 1/45*a**5. Factor k(s).
-2*s**2*(s + 1)**2/9
Let j(u) be the second derivative of -2*u + 1/10*u**6 - 1/4*u**4 + 0*u**2 + 0*u**3 + 0*u**5 + 0. Let j(b) = 0. What is b?
-1, 0, 1
Find j, given that -1/3 + 16/3*j**3 - 8*j**2 + 3*j = 0.
1/4, 1
Let y(v) be the third derivative of v**9/60480 - v**8/26880 - v**4/6 - 2*v**2. Let m(p) be the second derivative of y(p). Determine a so that m(a) = 0.
0, 1
Let p(n) be the second derivative of -n**8/1680 + n**7/630 + n**6/1080 - n**5/180 - n**3/3 - 2*n. Let t(b) be the second derivative of p(b). Factor t(z).
-z*(z - 1)**2*(3*z + 2)/3
Factor -5*d**3 + 5 - 7*d**2 + 2*d + 2*d**2 + 3*d.
-5*(d - 1)*(d + 1)**2
Factor 0 + 1/4*q - 5/8*q**4 - q**3 - 1/8*q**2.
-q*(q + 1)**2*(5*q - 2)/8
Factor -6/11*j**3 - 36/11 + 32/11*j**2 - 30/11*j.
-2*(j - 3)**2*(3*j + 2)/11
Let l(c) be the second derivative of c**8/2016 - c**7/1260 - c**6/90 - c**5/45 + c**4/12 - 2*c. Let z(q) be the third derivative of l(q). Factor z(d).
2*(d - 2)*(d + 1)*(5*d + 2)/3
Factor -5*k**4 + 4*k**3 + 21 - 4*k + 4*k**2 - 21 + k**4.
-4*k*(k - 1)**2*(k + 1)
Let z(q) be the third derivative of 0*q**4 + 1/120*q**5 + 0*q - q**2 + 0*q**3 + 0. Factor z(v).
v**2/2
Determine y, given that 5*y + 6972 - 4*y**2 + 19*y - 7004 = 0.
2, 4
Factor 3/2*t**2 + 15/4*t**3 + 9/4*t**4 + 0 + 0*t.
3*t**2*(t + 1)*(3*t + 2)/4
Let g(u) be the first derivative of -6 - 4/3*u + 5/3*u**2 - 147/8*u**4 + 77/9*u**3. Factor g(q).
-(7*q - 2)**2*(9*q + 2)/6
Let z = 1/204 - -101/204. Suppose 0*d**2 - z*d**4 + d - d**3 + 1/2 = 0. What is d?
-1, 1
Suppose 30 = -3*f - 42. Let i be 2/(-4)*16/f. Let 1/3*u + i*u**3 + 2/3*u**2 + 0 = 0. What is u?
-1, 0
Let h(o) = o**3 - 3*o + 2. Let t be h(2). Suppose -t*b - 3 + 15 = 0. Find f, given that 3*f**4 - 4*f**2 + 2*f**b + f**5 - 2*f**3 = 0.
-2, 0, 1
Let j(d) be the first derivative of -4*d**3/3 + 10*d**2 + 5. Factor j(c).
-4*c*(c - 5)
Let r = 20/3 - 6. Factor -l - r - 1/3*l**2.
-(l + 1)*(l + 2)/3
Let j be 4*(-4)/(-44)*2. Suppose j*u + 8/11 + 2/11*u**2 = 0. Calculate u.
-2
Let t(j) be the second derivative of j**4/66 - 10*j**3/33 + 25*j**2/11 + 7*j. Factor t(y).
2*(y - 5)**2/11
Let o(x) be the first derivative of -45*x**4/4 - 28*x**3 - 33*x**2/2 + 6*x - 49. Determine y, given that o(y) = 0.
-1, 2/15
Suppose 0 - 2/3*k**3 - 2*k - 8/3*k**2 = 0. What is k?
-3, -1, 0
Let p be (-5)/20 + 19/(-4). Let k be (p/(-90))/((-2)/(-32)). Factor 8/9*n + 2/3*n**2 - k + 2/9*n**4 - 8/9*n**3.
2*(n - 2)**2*(n - 1)*(n + 1)/9
Let m(h) = 7*h**3 - 3*h**2 - 7*h + 8. Let c(x) = -4*x**3 + 2*x**2 + 4*x - 5. Let o(z) = -5*c(z) - 3*m(z). Solve o(l) = 0 for l.
-1, 1
Let d = -24 - -26. Suppose -5*x + x + 16 = 0. Solve -3*h**d - h + x*h**2 + 2*h - 2 = 0 for h.
-2, 1
Let y(u) be the third derivative of -2/3*u**4 + 16/3*u**3 + 0 + 1/30*u**5 + 0*u + 6*u**2. Factor y(x).
2*(x - 4)**2
Let u be (2 + 10)/((-6)/9). Let l be u/30 - 42/(-20). Factor l*r + 3/4 + 3/4*r**2.
3*(r + 1)**2/4
Factor -3*x**4 + 72*x**3 - x**4 - 80*x**3 + 16*x**2 + 2*x**5.
2*x**2*(x - 2)**2*(x + 2)
Let a(i) be the first derivative of -2 - 1/180*i**6 - 1/3*i**3 + 1/30*i**5 + 0*i + 0*i**4 + 0*i**2. Let j(x) be the third derivative of a(x). Factor j(y).
-2*y*(y - 2)
Let x(j) be the second derivative of 3/80*j**5 + 1/8*j**3 + 0*j**2 - 7*j + 0 + 1/8*j**4. Find r, given that x(r) = 0.
-1, 0
Factor 0*f + 4/13*f**4 + 0*f**2 - 2/13*f**5 + 0 - 2/13*f**3.
-2*f**3*(f - 1)**2/13
Factor -7/2*s - s**2 + 9/2.
-(s - 1)*(2*s + 9)/2
Let x(a) be the first derivative of a**4/4 + 6. Find g such that x(g) = 0.
0
Suppose -5 = 3*d - 4*d. Let 3*u**4 - 9*u**4 + 2*u**5 - 2*u**2 + 2*u**5 + 6*u**3 - 2*u**d = 0. What is u?
0, 1
Let m(y) be the t