*n + 0 - 5/6*n**2.
-n*(n + 1)*(n + 4)/6
Let u(f) = f**2 + 5*f + 4. Suppose -4 = 5*y - 5*b + 1, -4*y + 3*b = -1. Let j(o) = 2*o**2 + 5*o + 3. Let l(d) = y*j(d) - 3*u(d). Factor l(m).
5*m*(m + 1)
Suppose 27*p - 6 = 26*p. Let x(y) be the third derivative of 0 + 0*y + 1/80*y**p + 1/8*y**4 + 0*y**3 + 11*y**2 + 3/40*y**5. What is w in x(w) = 0?
-2, -1, 0
Let g(z) = z**3 - 7*z**2 - 6*z - 12. Let x be g(8). Solve -9*r**3 - 3*r**2 + 1 + 3*r**x + 12*r**2 - 3*r - 1 = 0 for r.
0, 1
Let t = -28 - -37. Find n such that -t*n**2 + 9*n**2 - 21*n**2 + 30 + 99*n = 0.
-2/7, 5
Let v(f) be the first derivative of -5*f**7/42 - f**6/10 + 17*f**5/20 + 19*f**4/12 - 2*f**2 - 14*f + 9. Let q(j) be the first derivative of v(j). Factor q(m).
-(m - 2)*(m + 1)**3*(5*m - 2)
Let t = -21 - -30. Suppose 0 = -8*z + t + 39. Determine x, given that 5*x**3 + 2*x**4 + x**5 + z*x**2 - 4*x**2 + 2*x**4 + 0*x**2 = 0.
-2, -1, 0
Let u be (13/(-26))/(3/4 + -1). Determine d, given that 0 - 4*d**3 + 0*d + 8/3*d**u = 0.
0, 2/3
Suppose -2*z + 16 = 12. Let d be 1*(0 - -1) - z/(-2). Find y, given that 3/4*y**d + 3/4*y**3 + 1/4*y**4 + 1/4*y + 0 = 0.
-1, 0
Let m be (-2)/(-5) - 63/720. Let s = m + -7/48. Solve -4/3*x**3 + s*x**4 + 11/3*x**2 - 4*x + 3/2 = 0.
1, 3
Let j(n) be the first derivative of -2*n**2 + 80*n - 22. Let q be j(20). Find r, given that 0*r**2 + 2/3*r**5 + q*r**4 - 2/3*r**3 + 0*r + 0 = 0.
-1, 0, 1
Let h = 13607 - 81635/6. Suppose 2/3 - 8/3*l + h*l**2 = 0. Calculate l.
2/7, 2
Let z(u) be the second derivative of -2/21*u**3 - 4/35*u**5 - 5/21*u**4 + 0*u**2 - 2*u + 0. Let z(t) = 0. Calculate t.
-1, -1/4, 0
Let p = -17 + 16. Let g be 6/27 - (p - (-177)/189). Factor 0*k + 0 - g*k**2.
-2*k**2/7
Let w(p) = 27*p**4 - 45*p**3 - 42*p**2 + 36*p + 28. Let r(f) = -1. Let m(l) = -4*r(l) - w(l). Suppose m(j) = 0. What is j?
-2/3, 1, 2
Let f = 90/7 - 339/28. Let d be (-81)/(-60) - -2 - 2 - (-645)/(-1075). Let 0 + 1/4*l - d*l**2 + f*l**3 - 1/4*l**4 = 0. What is l?
0, 1
Let j(g) = g**3 + 11*g**2 + 4. Let k be j(-11). Let i be 2*6*3/12. Factor q**2 - q**k + 8*q - 3*q + q**i - 6*q.
-q*(q - 1)**2*(q + 1)
Let i(u) be the second derivative of 0*u**3 - u**4 + 0*u**2 + 0 - 2/15*u**6 + 4/5*u**5 + 27*u. Factor i(f).
-4*f**2*(f - 3)*(f - 1)
Let p be (1 + (-1)/(-2))/((-1)/(-2)). Find i such that -18*i**4 + 2*i**2 + 20*i**4 + 3*i**p - 7*i**3 = 0.
0, 1
Let w = -9 + 34. Let q(a) = a**2 + a + 1. Let s be q(-2). What is d in -25 + w + 12*d**4 + s*d - 9*d**2 = 0?
-1, 0, 1/2
Let s(h) be the first derivative of 0*h**3 + 0*h - 7 + 0*h**2 - 1/4*h**4. Factor s(j).
-j**3
Let r(j) = 2*j**4 + 17*j**3 - 17*j**2 + 5. Let c(d) = -d**4 + 69*d**2 - 69*d**3 - 2*d + 2*d - 21 - 8*d**4. Let f(g) = -5*c(g) - 21*r(g). Factor f(n).
3*n**2*(n - 2)**2
Let h(b) be the second derivative of b**4/3 + 28*b**3/3 - 64*b**2 + 163*b - 2. Find l such that h(l) = 0.
-16, 2
Let o(t) be the first derivative of -t**5/25 + 3*t**4/10 - 4*t**3/5 + t**2 - 3*t/5 - 13. Factor o(v).
-(v - 3)*(v - 1)**3/5
Let k be 180 + -171 + 7/(-1). Suppose -1/5*g + 1/5 + 1/5*g**3 - 1/5*g**k = 0. Calculate g.
-1, 1
Factor -72*l**4 + 4*l**2 - 12*l**3 + 149*l**4 + 12*l - 8 - 73*l**4.
4*(l - 2)*(l - 1)**2*(l + 1)
Let t = -559 + 5593/10. Let w(d) be the first derivative of -1/2*d**3 - t*d**5 + 0*d + 7 + 0*d**2 + 3/4*d**4. Solve w(u) = 0.
0, 1
Let r = 8650/13 - 43146/65. Suppose 3/5*t**2 - 2/5*t**3 + 3/5 + r*t = 0. What is t?
-1, -1/2, 3
Let u = 25 + -21. Suppose -99*k + 35 = -92*k. Factor -1/2*y**u + 1/2*y**3 + 1/2*y**2 + 0*y + 0 - 1/2*y**k.
-y**2*(y - 1)*(y + 1)**2/2
Let l(k) be the second derivative of 0 - 3/28*k**4 + 3/140*k**5 + 1/7*k**3 - 3*k + 0*k**2. Determine v so that l(v) = 0.
0, 1, 2
Suppose 0 = 4*s - 3*a - 23, 4*s - 2*a + 0 - 18 = 0. Suppose 3*h - 2*m = 29, 5*h + s = -5*m + 92. Factor 3*r - h*r + 9*r**2 + 12*r**3 + 7*r.
3*r*(r + 1)*(4*r - 1)
Factor 6068*p**2 - 5*p**4 - 2996*p**2 - 3022*p**2 + 35*p**3 - 80*p.
-5*p*(p - 8)*(p - 1)*(p + 2)
Let r(y) be the first derivative of 10/9*y**3 + 1/6*y**4 + 28 + 0*y**2 + 0*y. Find u, given that r(u) = 0.
-5, 0
Let g(l) be the second derivative of -21/20*l**5 + 2/5*l**6 - 9/2*l**2 - 1/4*l**4 + 0 - 21*l + 7/2*l**3. Solve g(u) = 0 for u.
-1, 3/4, 1
Let b(t) be the first derivative of -t**4/22 + 2*t**3/11 + 4*t**2/11 + 15. Suppose b(q) = 0. What is q?
-1, 0, 4
Suppose -44*z**4 + 171*z**2 + 457*z + 141*z**3 + 86*z**4 - 370*z + 15 = 0. Calculate z.
-1, -5/14
What is k in -659*k**2 + 253*k**2 + 17 - 159*k**3 - 175*k**3 + 8*k**5 - 45 - 194*k - 86*k**4 = 0?
-1, -1/4, 14
Find o such that 5*o**2 - 3*o**2 + 468 - 404 - 32*o + 5*o**2 - 3*o**2 = 0.
4
Let q(l) be the third derivative of l**7/13860 - l**6/3960 - l**5/330 + l**4/6 - l**3/3 - 6*l**2 - 2*l. Let y(o) be the second derivative of q(o). Factor y(s).
2*(s - 2)*(s + 1)/11
Let i = 15 + -13. Factor 14*f**2 + 6 - 10*f**i - f**3 - 2 - 7*f**2.
-(f - 1)*(f + 2)**2
Let w(k) be the first derivative of 22 - 7/18*k**6 + 0*k + 0*k**3 + 1/3*k**4 - 4/5*k**5 + 0*k**2. Factor w(y).
-y**3*(y + 2)*(7*y - 2)/3
Let h(y) be the first derivative of -y**5/2 - 55*y**4/8 - 65*y**3/3 - 20*y**2 - 94. Solve h(l) = 0.
-8, -2, -1, 0
Let y(k) be the first derivative of k**6/3600 - 16*k**3/3 + 46. Let u(c) be the third derivative of y(c). Determine z, given that u(z) = 0.
0
Let g = 5579 - 5574. Solve 0*x**3 + 0 + 1/7*x - 2/7*x**4 + 2/7*x**2 - 1/7*x**g = 0.
-1, 0, 1
Suppose 137*j**2 + 130*j**2 - 211*j**2 - 9*j**3 + 35*j**3 + 8*j = 0. Calculate j.
-2, -2/13, 0
Let b(i) be the third derivative of -19*i**5/60 - 37*i**4/12 + 4*i**3/3 + 96*i**2. Factor b(p).
-(p + 4)*(19*p - 2)
Let i be 1989/(-429) - (-3 + -2). Suppose 2/11*s**2 - 6/11 - i*s = 0. What is s?
-1, 3
Let w(o) be the first derivative of -18*o**4 + 4*o**5 + 68/3*o**3 - 16*o + 11 + 0*o**2. Factor w(h).
4*(h - 2)*(h - 1)**2*(5*h + 2)
Let v = -136 - -138. Let k(g) be the first derivative of 1/2*g**3 - 3/2*g**v + 2 - 9/2*g. Factor k(i).
3*(i - 3)*(i + 1)/2
Let f(s) be the first derivative of 2 + 7/30*s**4 + 4*s - 1/15*s**6 + 3/50*s**5 - 2/5*s**2 - 1/5*s**3. Let o(l) be the first derivative of f(l). Solve o(q) = 0.
-1, -2/5, 1
Solve -4/3*q + 14/3*q**2 + 8/3*q**3 + 0 = 0 for q.
-2, 0, 1/4
Let z(c) be the third derivative of -7*c**5/180 - 4*c**4/9 + 5*c**3/6 + 245*c**2. Solve z(v) = 0.
-5, 3/7
Let a(n) = n**2 - n - 3. Let c be a(4). Let f = c - 6. Factor -2 + 5 - 3*j**2 + j**3 - 4 + 0 + f*j.
(j - 1)**3
Let z(r) be the first derivative of r**6/4 - 3*r**5/5 - 3*r**4/4 + 4*r**3 - 21*r**2/4 + 3*r + 79. Factor z(u).
3*(u - 1)**4*(u + 2)/2
Let l(w) be the second derivative of -1/30*w**6 + 0*w**2 + 1/12*w**4 + 4*w + 0*w**5 + 0*w**3 + 0. Solve l(b) = 0 for b.
-1, 0, 1
Factor -2/11*d**2 + 10/11*d + 12.
-2*(d - 11)*(d + 6)/11
Let h(b) be the first derivative of -2*b**5/5 + 97*b**4/10 - 22*b**3/5 - 97*b**2/5 + 76*b/5 + 122. What is z in h(z) = 0?
-1, 2/5, 1, 19
Let w(i) be the first derivative of 12*i + 64/3*i**3 - 11 + 28*i**2 - 12/5*i**5 + 2*i**4. Solve w(y) = 0.
-1, -1/3, 3
Let w(b) = -17*b**4 + 349*b**3 + 473*b**2 + 123*b - 8. Let k(z) = -18*z**4 + 348*z**3 + 471*z**2 + 123*z - 9. Let v(q) = 8*k(q) - 9*w(q). What is y in v(y) = 0?
-1, -1/3, 0, 41
Let q(o) be the first derivative of 9 + 11*o + 3/10*o**4 + 1/5*o**2 - 1/2*o**3. Let t(y) be the first derivative of q(y). Suppose t(s) = 0. Calculate s.
1/6, 2/3
Let o be (-363)/55 + 10 + -1. Let 4/5*d**3 + 0 + 8/5*d - o*d**2 = 0. Calculate d.
0, 1, 2
Let d = 105 + 50. Let l = d + -772/5. Determine r so that 0 + l*r - 3/5*r**2 = 0.
0, 1
Suppose 10*l - 20 - 14 = -4*o, 4*l = 4*o - 20. Solve -4/3 + 2*f**4 + 5/6*f**5 - 23/3*f**2 - 11/6*f**3 - o*f = 0.
-2, -1, -2/5, 2
Let k(i) be the third derivative of 0 + 0*i**3 + 3*i**2 + 1/360*i**5 + 0*i - 1/144*i**4. Factor k(o).
o*(o - 1)/6
Suppose -2*q - 10 = 3*r, -197 = r - q - 202. What is t in 0 - 2/9*t**3 + r*t + 8/9*t**2 = 0?
0, 4
Let j(a) be the third derivative of -a**5/180 - 2*a**4/9 - 6*a**2 - 23*a. Factor j(f).
-f*(f + 16)/3
Let r be (4/(-8)*-2)/(2/4). Solve o - 30*o**r - 125 - 29*o**3 + 199*o - 5*o**4 - 11*o**3 = 0 for o.
-5, 1
Suppose 7*m = 3*j + 3*m + 2, 5*j = 2*m + 20. Suppose 3*n + 6 = j*n. Determine v, given that 30*v**2 - 61*v**n + 3 + 32*v**2 - 4*v = 0.
1, 3
Let h be (351/18 - 7)/(15/6). Find z such that 12/7*z**2 + 4/7*z + 13/7*z**3 + 1/7*z**h + 6/7*z**4 + 0 = 0.
-2, -1, 0
Let