+ -123. Suppose 3/4*y**t + 0 + 3/2*y = 0. What is y?
-2, 0
Let j be 9/27 + 2/(-24). Factor 0*m - 1/4*m**2 + j.
-(m - 1)*(m + 1)/4
Let t(k) be the second derivative of 2*k**7/21 + 2*k**6/5 - k**5/5 - 7*k**4/3 + 8*k**2 + 4*k. Solve t(y) = 0.
-2, -1, 1
Suppose 19*k**3 - 34*k**3 - 33*k**4 + 0*k**5 - 54*k**3 - 33*k - 6*k**5 - 6 - 69*k**2 = 0. What is k?
-2, -1, -1/2
Let s(i) be the second derivative of i**7/5040 - i**6/540 + i**5/180 + 2*i**3/3 - i. Let f(q) be the second derivative of s(q). Solve f(y) = 0 for y.
0, 2
Let x(w) be the first derivative of 0*w - 1/12*w**3 + 1/16*w**4 + 0*w**2 + 9. Let x(s) = 0. Calculate s.
0, 1
Let i = -1 + 12. Let j = -8 + i. Determine c so that 2/5*c**2 + 1/5*c + 0 + 1/5*c**j = 0.
-1, 0
Let v = 82/165 + -4/11. Let a(w) be the third derivative of -1/60*w**6 - 2/3*w**3 - 5/12*w**4 + 0 - w**2 - v*w**5 + 0*w. Factor a(d).
-2*(d + 1)**2*(d + 2)
Let k(l) = -8*l**3 - 23*l**2 + 8*l + 9. Let i(x) = 4*x**3 + 11*x**2 - 4*x - 5. Let u(f) = 7*i(f) + 3*k(f). Determine n, given that u(n) = 0.
-2, -1, 1
Let i(u) = u**2 - 26*u + 25. Let n(o) = -25*o + 25. Let z(t) = 5*i(t) - 4*n(t). Let z(x) = 0. What is x?
1, 5
Let g(x) be the first derivative of -x**3/4 - 3*x**2/4 - 3*x/4 + 9. Factor g(f).
-3*(f + 1)**2/4
Suppose -3*r + 2*r + 12 = -5*w, 4*r - 48 = -4*w. Suppose -r*c = -8*c - 8. Factor -2/3 + 1/3*y**c - 1/3*y.
(y - 2)*(y + 1)/3
Let j(x) be the third derivative of -1/672*x**8 - x**2 - 1/210*x**7 + 0*x**5 + 0*x - 1/240*x**6 + 0*x**3 + 0 + 0*x**4. Factor j(c).
-c**3*(c + 1)**2/2
Let r be (-1)/5 - 28/10. Let a = -1 - r. Suppose 0*b**a + 2/7*b**3 + 0*b + 0 - 6/7*b**4 = 0. Calculate b.
0, 1/3
Let i(g) = -2*g**2 + 11*g - 3. Let k be i(5). Factor 2*x - 4*x**3 + 2*x - k*x + 2*x**3.
-2*x*(x - 1)*(x + 1)
Let a(l) be the first derivative of -l**7/840 + l**6/360 + l**5/120 - l**4/24 + l**3/3 + 1. Let k(m) be the third derivative of a(m). Factor k(x).
-(x - 1)**2*(x + 1)
Solve -4*k**2 - 6*k**2 - k**3 + 9*k**2 = 0 for k.
-1, 0
Suppose 59*n = 88*n - 232. Factor -2*l**2 - 32/3 - 1/6*l**3 - n*l.
-(l + 4)**3/6
Let n(p) be the second derivative of -1/6*p**3 - 5*p + 1/10*p**2 - 1/210*p**7 + 1/6*p**4 + 1/30*p**6 + 0 - 1/10*p**5. Factor n(h).
-(h - 1)**5/5
Let 19*m + 3*m**2 - 2*m + 27 + m = 0. What is m?
-3
Determine l so that 9*l**3 + l**3 + 17*l**2 + 35*l + 6 + l**4 - 18*l - 3*l**3 = 0.
-3, -2, -1
Let v(s) be the first derivative of s**4/4 - 2*s**2 - 1. Let v(d) = 0. What is d?
-2, 0, 2
Factor 41*n**2 + 10*n + 57*n**3 + 40*n**2 + 14*n + 3 + 12*n**4 - 15.
3*(n + 1)*(n + 2)**2*(4*n - 1)
Let t(n) = n**3 - 6*n**2 + 5*n - 6. Let q(l) = l**2 - l + 1. Let d(m) = 3*m - 1. Let r be d(-1). Let a = 5 + r. Let f(s) = a*t(s) + 6*q(s). Factor f(i).
i*(i - 1)*(i + 1)
Suppose -4*a = -8 - 0. Let k be a/(-2) - (-2 + -1). Solve -2*m + k - 2*m - m**2 - m**2 - 4 = 0.
-1
Let z(r) be the third derivative of r**6/24 + r**5/12 + 9*r**2. Determine k so that z(k) = 0.
-1, 0
Let -4/7*v**2 + 0 + 2/7*v + 2/7*v**3 = 0. Calculate v.
0, 1
Let n = -23 - -17. Let r = n - -6. Determine b so that r + 0*b - 1/2*b**2 + 1/2*b**4 + 0*b**3 = 0.
-1, 0, 1
Let x = 4 - 2. Let u(a) = 4*a - 1. Let o be u(x). Determine p so that -o*p**4 - 5*p + 6*p**2 + 2*p**3 + 1 - 9*p**5 + 12*p**5 + 0*p = 0.
-1, 1/3, 1
Factor 6*j + 2*j**3 - 2*j - 4*j + 2*j**2.
2*j**2*(j + 1)
Let m(g) = -19*g**3 + 5*g**2 - 13*g - 37. Let f(i) = -9*i**3 + 3*i**2 - 6*i - 18. Let z(b) = 13*f(b) - 6*m(b). Solve z(j) = 0.
-1, 2
Let f(a) be the third derivative of a**5/105 + a**4/21 + 2*a**3/21 - 3*a**2. Let f(i) = 0. Calculate i.
-1
Let b be 2/6 - 1/3. Let c(l) be the third derivative of -2*l**2 + 0 - 1/15*l**5 - 2/105*l**7 + b*l + 0*l**3 + 1/336*l**8 + 1/24*l**4 + 1/20*l**6. Factor c(j).
j*(j - 1)**4
Let s = 337/123 - 3/41. Factor -2/3*k**5 + 0 + 8/3*k**4 - 2/3*k + s*k**2 - 4*k**3.
-2*k*(k - 1)**4/3
Let a = -27 - -27. Factor -2/5*m**2 + a - 2/5*m + 2/5*m**3 + 2/5*m**4.
2*m*(m - 1)*(m + 1)**2/5
Factor 0 - 1/3*t - 1/6*t**2.
-t*(t + 2)/6
Let b(f) be the first derivative of f**6/600 - f**4/120 - 3*f**2/2 - 3. Let y(h) be the second derivative of b(h). Factor y(x).
x*(x - 1)*(x + 1)/5
Let g(f) be the third derivative of f**6/30 - 4*f**5/15 + 5*f**4/6 - 4*f**3/3 - 9*f**2. What is q in g(q) = 0?
1, 2
Let n(d) be the first derivative of -d**4/4 + 4*d**3/5 - 9*d**2/10 + 2*d/5 + 17. Suppose n(i) = 0. Calculate i.
2/5, 1
Suppose -4 = -4*h - 12. Let o be h/6 + (-5)/(-9). Determine i so that 0 + 0*i + 0*i**2 + 0*i**3 - 2/9*i**4 - o*i**5 = 0.
-1, 0
Let j = -8 + 3. Let p(h) be the first derivative of -2*h**3 - 4*h**2 + 8*h + 2. Let t(f) = 4*f**2 + 5*f - 5. Let y(o) = j*p(o) - 8*t(o). Factor y(b).
-2*b**2
Let g(u) be the second derivative of -5*u**4/12 - 20*u**3/3 + 9*u. Find s such that g(s) = 0.
-8, 0
Suppose -3*w + 11 = -w + o, -w + 16 = 4*o. Suppose h + 2*l = 0, -h + 4*l = -5*h + w. Suppose -2/3*d**2 - 2*d**4 + h*d**3 + 0 + 0*d + 2/3*d**5 = 0. Calculate d.
0, 1
Let p(l) be the third derivative of l**5/600 + l**4/10 + 12*l**3/5 + 22*l**2. Find x, given that p(x) = 0.
-12
Let a(l) = -l + 9. Let j be a(10). Let p be (-1*j/(-5))/(-1). Solve -4/5*w + p*w**2 + 4/5 = 0 for w.
2
Let m(c) = -c**2 + 11*c - 27. Let d be m(6). Let z(v) be the first derivative of 2/7*v**2 + 2/21*v**d + 0*v + 1. Let z(w) = 0. What is w?
-2, 0
Suppose -16 = -2*v + 4*y - 0, 0 = -3*v - 3*y - 12. Factor v + 2/3*d**3 + 2/3*d**4 + 0*d + 0*d**2.
2*d**3*(d + 1)/3
Suppose 2*j = -2*o + 6, -2*o + j + 8 = 5*j. Factor -z**o - 5*z**2 - 4*z + 4*z**2 + 2*z.
-2*z*(z + 1)
Suppose 0 = m + 3*m. Let k(o) be the first derivative of 0*o**4 + m*o - 1 - 4/9*o**3 + 4/15*o**5 - 1/9*o**6 + 1/3*o**2. Factor k(g).
-2*g*(g - 1)**3*(g + 1)/3
Suppose u - 5 = -0*u. Suppose 3 = -2*r + 11. Solve 0*y**u + 0*y**r + 2*y**4 - 2*y**5 = 0 for y.
0, 1
Let h(q) = -q - 5. Let w be h(-5). Let o(n) = -n + 2. Let s be o(w). Find t such that -2/5 + 1/5*t + 1/5*t**s = 0.
-2, 1
Let l be (-8)/(-5) - 8/(-20). Let i = -33/2 + 17. Find r, given that 2*r + 2*r**l + i = 0.
-1/2
Let s(c) be the second derivative of c**6/360 - c**5/30 + c**4/6 + c**3/2 - 2*c. Let d(f) be the second derivative of s(f). Determine v, given that d(v) = 0.
2
Suppose 0 = -2*x + 22 - 2. Let q = x - 8. Factor 1/3*r**q + r + 2/3.
(r + 1)*(r + 2)/3
Let v(b) be the first derivative of -b**7/2520 + b**5/120 + b**4/36 + 2*b**3/3 + 7. Let n(p) be the third derivative of v(p). Suppose n(g) = 0. What is g?
-1, 2
Let o = 9 + -9. Factor 3*h + o*h + 0 - h**2 - 4 + 2.
-(h - 2)*(h - 1)
Let k = 1738 + -36466/21. Let b = k - 6/7. Factor b*z**2 + 0 + 0*z + 2/3*z**3.
2*z**2*(z + 1)/3
Factor 41*i - 7*i - 76*i**2 + 22*i**3 + 22*i + 28*i**3 - 16 - 16*i**4 + 2*i**5.
2*(i - 2)**3*(i - 1)**2
Let h(x) be the second derivative of 1/21*x**3 + x - 1/14*x**2 - 1/84*x**4 + 0. Factor h(p).
-(p - 1)**2/7
Let z(t) be the second derivative of t**5/90 - 5*t**4/54 - t**3/27 + 5*t**2/9 + 38*t. Determine q, given that z(q) = 0.
-1, 1, 5
Let h(l) be the second derivative of -l**6/30 - l**5/10 - l**4/12 + l + 5. Let h(i) = 0. What is i?
-1, 0
Let j(c) = c**2 + 16*c + 63. Let r be j(-6). Let n(x) be the first derivative of 3/5*x**5 + 3/4*x**2 + 0*x**4 + 2 + 0*x - x**r - 1/4*x**6. Factor n(q).
-3*q*(q - 1)**3*(q + 1)/2
Let u = 3/362 - -89/181. Factor 3/4*q - 2*q**2 + 3/4*q**3 + u.
(q - 2)*(q - 1)*(3*q + 1)/4
Let y(g) be the third derivative of g**6/960 - g**5/160 - 20*g**2. Factor y(u).
u**2*(u - 3)/8
Let g(u) be the first derivative of u**8/1680 + u**7/280 - u**5/30 + 2*u**3/3 + 3. Let b(n) be the third derivative of g(n). Determine j, given that b(j) = 0.
-2, 0, 1
Let a = -13 + 16. Determine w, given that -6*w**2 + 0*w**4 - 2*w**4 - w**a - 3*w**3 - 2*w**3 - 2*w = 0.
-1, 0
Let o = 833/5 + -166. Factor 0*k + 3/5*k**3 + 1/5*k**5 - 1/5*k**2 + 0 - o*k**4.
k**2*(k - 1)**3/5
Let y be (-13)/3 + (-1)/(-3). Let d be (8/6)/(y/(-6)). Factor 3*s - 3 - s**2 + 1 + 0*s**d.
-(s - 2)*(s - 1)
Suppose -2*x + 3 = -1. Suppose -w = -x*w. Solve w*f**2 + 2*f - 3*f - f**2 = 0 for f.
-1, 0
Suppose -u - 8*u = u. Suppose 3/7*q**3 + 0*q + u - 3/7*q**2 = 0. Calculate q.
0, 1
Factor -2/5*j**3 + 3/5*j - 1/5*j**5 - 2/5*j**2 - 1/5 + 3/5*j**4.
-(j - 1)**4*(j + 1)/5
Let h = 33008/12831 - 2/1833. Find m such that 12/7*m + h + 2/7*m**2 = 0.
-3
Let k(n) be the third derivative of 5*n**8/336 - n**7/14 + n**6/24 + n**5/4 - 5*n**4/12 +