 - 2*l + 8. Let k be u(4). Suppose -3*w + 0*w + 6 = 0. Let k - 2/5*r**w + 2/5*r = 0. What is r?
0, 1
Let u(b) be the first derivative of b - 1/4*b**2 + 4 - 1/2*b**3. Find g such that u(g) = 0.
-1, 2/3
Let c(i) be the second derivative of -i**6/3060 - i**5/510 + i**4/68 - 3*i**3/2 + 8*i. Let l(z) be the second derivative of c(z). Solve l(b) = 0.
-3, 1
Suppose 4*g = -3*f + 1, 0*f = -2*g - 4*f - 2. Let b(n) be the first derivative of g - 4*n**3 + 0*n - 12/5*n**5 + 1/2*n**6 + 9/2*n**4 + 3/2*n**2. Solve b(l) = 0.
0, 1
Let a(m) be the third derivative of 7/40*m**5 - 1/4*m**3 + 0 + 0*m + 3/32*m**4 - 4*m**2. Suppose a(f) = 0. What is f?
-1/2, 2/7
Let l(i) = -8*i**2 + 2*i + 6. Let m(r) = 18*r**3 - 2*r + 1. Let f be m(1). Let w(y) = 23*y**2 - 6*y - 17. Let u(s) = f*l(s) + 6*w(s). Factor u(o).
2*o*(o - 1)
Let t(q) be the second derivative of -q**6/225 - q**5/50 - q**4/90 + q**3/15 + 2*q**2/15 + 7*q. Solve t(n) = 0.
-2, -1, 1
Let h = 9 + -8. Let d be (-1 - 1) + h + 5. Find o, given that -5/4*o**5 - 3/4*o**2 + 7/4*o**3 + 0 + 3/4*o**d - 1/2*o = 0.
-1, -2/5, 0, 1
Let n = 18 + -107/6. Let g(l) be the second derivative of 0*l**6 + 0*l**2 + 3/20*l**5 + 0*l**3 + 2*l - 1/42*l**7 + 0 - n*l**4. Factor g(p).
-p**2*(p - 1)**2*(p + 2)
Solve 2 - 3/2*q**2 + 1/2*q**4 - q**3 + 2*q = 0 for q.
-1, 2
Let r(p) be the second derivative of -3*p + 5*p**5 + 1/3*p**7 + 20/3*p**4 + 0 + 2*p**2 + 5*p**3 + 2*p**6. Factor r(k).
2*(k + 1)**4*(7*k + 2)
Let y(a) be the third derivative of a**7/840 - a**4/8 + 4*a**2. Let f(i) be the second derivative of y(i). Suppose f(r) = 0. What is r?
0
Let c be -1*3 + (-6)/(-3). Let v be (9/12)/(c/(-4)). Factor 2*j - 7*j**v + 9*j**3 - 6*j**2 + 2*j.
2*j*(j - 2)*(j - 1)
Let a(n) be the third derivative of 5*n**9/3024 - n**8/140 + 3*n**7/280 - n**6/180 - n**3/3 + 5*n**2. Let o(z) be the first derivative of a(z). Factor o(x).
x**2*(x - 1)**2*(5*x - 2)
Suppose -5*a + 10 = 0, 2*d - 4*a + 2 + 2 = 0. Factor 0*i**2 + d*i**3 + 3*i**2 - i**4 - 4*i**2.
-i**2*(i - 1)**2
Let t = -5090 + 391922/77. Let z = t + 2/7. Factor 2/11*k**3 + 0 + 0*k**2 + 0*k - z*k**5 + 0*k**4.
-2*k**3*(k - 1)*(k + 1)/11
Let u(b) be the third derivative of -1/30*b**4 + 0*b**5 - 1/15*b**3 + 1/525*b**7 + 0 + 0*b + 3*b**2 + 1/150*b**6. Determine f so that u(f) = 0.
-1, 1
Let t(r) be the second derivative of -r**6/360 - r**5/30 - r**4/6 - 4*r**3/9 + r**2/2 + 3*r. Let c(x) be the first derivative of t(x). Factor c(z).
-(z + 2)**3/3
Suppose -4*a + 45 + 17 = -5*j, -2*j - 17 = -a. Let q = a + -11. Factor -2/3*c - 2/3*c**q + 0.
-2*c*(c + 1)/3
Factor -6/11 - 4/11*n + 2/11*n**2.
2*(n - 3)*(n + 1)/11
Let z = 257/5 - 953/20. Let -3*q**3 + 21/4*q - 3/2 + z*q**2 = 0. Calculate q.
-1, 1/4, 2
Let h(z) be the first derivative of -z**3/15 - 14*z**2/5 - 196*z/5 - 15. Find m, given that h(m) = 0.
-14
Let u = -24 - -10. Let q = u + 18. Determine b so that -2/5*b**2 - 4/5*b**3 + 0*b + 0 - 2/5*b**q = 0.
-1, 0
Let m(b) be the second derivative of b**4/28 - b**3/7 + 3*b**2/14 - 15*b. Factor m(j).
3*(j - 1)**2/7
Let v(c) = 53*c**2 - 151*c + 113. Let x(h) = 18*h**2 - 50*h + 38. Let w(u) = -6*v(u) + 17*x(u). Factor w(a).
-4*(a - 4)*(3*a - 2)
Let p(d) be the first derivative of 3/14*d**4 - 4/7*d + 4/21*d**3 - 3/7*d**2 - 2. Determine k so that p(k) = 0.
-1, -2/3, 1
Let z be (-6)/(-24)*(-1 + 1). Find r, given that z*r**2 + r**2 - 3 + 1 - 3*r**3 + 3*r + r**4 = 0.
-1, 1, 2
Let i(r) be the first derivative of r**7/210 + r**6/40 + r**5/20 + r**4/24 - 4*r**2 - 4. Let d(w) be the second derivative of i(w). Factor d(l).
l*(l + 1)**3
Factor -4/3*c**3 - 2*c**4 + 2/3 + 2*c - 2/3*c**5 + 4/3*c**2.
-2*(c - 1)*(c + 1)**4/3
Let i(m) be the second derivative of -4*m + 0*m**4 + 0*m**2 + 1/18*m**3 + 0 - 1/60*m**5. Solve i(n) = 0.
-1, 0, 1
Let w(i) be the first derivative of 8*i**3/27 - 5*i**2/9 + 2*i/9 - 6. Factor w(y).
2*(y - 1)*(4*y - 1)/9
Let y(c) be the third derivative of -c**6/360 + c**5/180 + c**4/72 - c**3/18 + 8*c**2. Factor y(p).
-(p - 1)**2*(p + 1)/3
Let o(u) = -u**3 - u**2. Let g(v) = v**3 - 4*v**2. Let s(y) = g(y) - 6*o(y). Solve s(j) = 0.
-2/7, 0
Let c = -13 - -22. Factor 9*s + 7 - 3*s**2 - c*s**3 - 4*s**4 + s**4 - 1.
-3*(s - 1)*(s + 1)**2*(s + 2)
Let y(o) be the third derivative of o**10/604800 - o**8/40320 + o**6/2880 + o**5/20 - 3*o**2. Let a(j) be the third derivative of y(j). Factor a(b).
(b - 1)**2*(b + 1)**2/4
Let v(q) = 3*q**5 + 9*q**4 - 9*q + 3. Let x(u) = 1 - u**3 + u**2 + 0*u**2 + 0*u**2. Let c(h) = v(h) - 6*x(h). Factor c(f).
3*(f - 1)*(f + 1)**4
Let x be ((-800)/(-432))/((-4)/(-102)). Let h = -47 + x. Let -h - 2/3*v + 8/9*v**2 = 0. What is v?
-1/4, 1
Let q(h) be the third derivative of 9*h**6/200 - 6*h**5/25 - 11*h**4/10 - 8*h**3/5 - 12*h**2. Factor q(v).
3*(v - 4)*(3*v + 2)**2/5
Suppose 2/5*d**3 - 6/5*d**2 + 0*d + 0 = 0. Calculate d.
0, 3
Let l(a) be the third derivative of a**6/420 - a**5/35 + 3*a**4/28 - 4*a**3/21 + 24*a**2. Determine i, given that l(i) = 0.
1, 4
Let y be ((-1210)/(-72))/5 - 3. Let m = -1/9 + y. Let -1/2*u**3 + 1/4*u + m*u**4 + 1/4*u**5 - 1/2*u**2 + 1/4 = 0. Calculate u.
-1, 1
Let i(h) = 12*h**3 + 5*h**2 - 13*h + 13. Let r(p) = -3*p**3 - p**2 + 3*p - 3. Let t(y) = -6*i(y) - 26*r(y). Let t(l) = 0. What is l?
0, 2/3
Let q(l) = l**3 + 12*l**2 + 10*l - 4. Let z be q(-11). Suppose 3 - c + 4*c**2 - z*c**2 + c = 0. Calculate c.
-1, 1
Let m(l) be the second derivative of l**4/72 - l**3/36 - l**2/6 - 16*l. Factor m(o).
(o - 2)*(o + 1)/6
Suppose -2*m + 0*m + 4 = 0. Suppose 0*q = -m*q. Determine c, given that q - 27/4*c**3 - 13/4*c**2 - 1/2*c - 23/4*c**4 - 7/4*c**5 = 0.
-1, -2/7, 0
Let u(p) be the second derivative of -3*p**5/20 + p**4/2 + 3*p**3/2 + p. Solve u(k) = 0.
-1, 0, 3
Let i(o) be the third derivative of o**6/60 + o**5/30 - o**4/12 - o**3/3 + 15*o**2. Factor i(q).
2*(q - 1)*(q + 1)**2
Let d be (-1)/((-6)/(-18)*-9). Factor -1/6*s**2 - 1/3*s + 1/6*s**4 + 0 + d*s**3.
s*(s - 1)*(s + 1)*(s + 2)/6
Let g = 4135/7 - 589. Let x = 32/119 + 2/119. Factor g*c - 18/7 - x*c**2.
-2*(c - 3)**2/7
Let d be -1 - ((-2)/(-6))/(4/(-28)). Let y(u) be the first derivative of 2/3*u**6 + 2*u - d*u**3 - 2*u**4 + 2/5*u**5 + 2 + 2*u**2. Determine w so that y(w) = 0.
-1, -1/2, 1
What is g in 49/2*g**2 + 18 + 42*g = 0?
-6/7
Let z(s) be the third derivative of 3*s**5/10 + 5*s**4/8 - s**3/2 - 2*s**2. Suppose z(m) = 0. Calculate m.
-1, 1/6
Let c(m) = -m + 4. Let h be c(-5). Solve -14*i - h*i**4 + 4*i**3 + 2*i - 12 - 2*i**3 + 10*i**3 + 21*i**2 = 0.
-1, -2/3, 1, 2
Let q(j) be the third derivative of -j**10/15120 + j**8/1680 - j**6/360 + j**4/4 + 6*j**2. Let p(d) be the second derivative of q(d). Solve p(s) = 0.
-1, 0, 1
Let v(q) = q**2 - 9*q - 8. Let i be v(10). Factor 4*n - 4*n**3 - 8*n**2 + 8*n**i.
-4*n*(n - 1)*(n + 1)
Determine g, given that -g**2 + 6*g**2 + 13*g - 2*g + 19*g + 40 = 0.
-4, -2
Factor 0 + 9/4*s + 3/8*s**2.
3*s*(s + 6)/8
Let r(a) = -21*a**2 + 12*a. Let p(v) = 2*v**2 + v**2 + 3*v - 8*v**2. Let c(g) = 9*p(g) - 2*r(g). Determine i, given that c(i) = 0.
0, 1
Let c = -7 - -11. Suppose -4 = -c*q + 3*q. Factor -2*f - 3*f**2 + f + q*f**2 + 0*f.
f*(f - 1)
Let w(h) be the second derivative of -h**3 + 2*h**2 - 3*h + 1/6*h**4 + 0. What is z in w(z) = 0?
1, 2
Factor 0 - 2/3*b**2 - 4/3*b.
-2*b*(b + 2)/3
Suppose 3 - 22 = -5*w + 3*j, -2*j + 4 = 5*w. Solve 9*r**2 - 6*r**3 + 6*r + 4*r**2 - 12*r**2 + 2*r**w - 3*r**4 = 0 for r.
-2, -1, 0, 1
Let m(y) be the first derivative of y - 1 - 1/12*y**4 - 1/10*y**5 + 1/3*y**3 + 1/2*y**2. Let d(a) be the first derivative of m(a). Determine t so that d(t) = 0.
-1, -1/2, 1
Suppose 3*q = 2*f - 157, 2*f - q = -3*q + 152. Let x = -226/3 + f. Find t such that -2/3 + x*t + 1/3*t**3 - 4/3*t**2 = 0.
1, 2
Let y(h) be the first derivative of -2/33*h**3 - 4/55*h**5 + 0*h + 3/22*h**4 - 6 + 0*h**2. Find u such that y(u) = 0.
0, 1/2, 1
Factor -225/2 - 15*f - 1/2*f**2.
-(f + 15)**2/2
Let u = 86 + -772/9. Factor 4/9*p - 4/9*p**3 + 0*p**2 + u*p**4 - 2/9.
2*(p - 1)**3*(p + 1)/9
Let u(b) = -b**5 - b**4 - b**3 - b**2 + 1. Let c(v) = -9*v**5 - 6*v**4 - 4*v**3 - 4*v**2 + 4. Let f(l) = c(l) - 4*u(l). What is j in f(j) = 0?
-2/5, 0
Let i be (-2)/7 - (-58)/7. Suppose 0 = -3*j + 13 + i. Factor -s + 0*s - 6*s**3 + j*s**3.
s*(s - 1)*(s + 1)
Let s(l) be the third derivative of l**5/20 + l**4/8 - 3*l**3 + 26*l**2. Factor 