47 - 2*n**6/105 + 52*n - 31. Let s(d) be the first derivative of p(d). Solve s(g) = 0.
0, 2
Suppose 41 + 35 + l**2 + l - 77 + l**3 - 2*l**3 = 0. Calculate l.
-1, 1
Let n = -54 - -124. Let g be 758/n - (-33)/(-77). Determine w so that -g*w - 16/5*w**2 - 12/5 = 0.
-3, -1/4
Factor 60 + 76 + 26*u + 8*u - 4*u**2 + 98*u.
-4*(u - 34)*(u + 1)
Let x(q) be the third derivative of q**6/48 - q**5/2 + 15*q**4/4 - 40*q**3/3 - 298*q**2. Solve x(m) = 0 for m.
2, 8
Factor 159/7 - 3/7*f**2 + 156/7*f.
-3*(f - 53)*(f + 1)/7
Let z(o) be the third derivative of o**7/210 + 19*o**6/240 + 13*o**5/40 + 29*o**4/48 + 7*o**3/12 + 184*o**2 - o. Determine l, given that z(l) = 0.
-7, -1, -1/2
Let g(c) = -12*c**2 + 19*c**2 - 5*c + 4*c + 17*c. Let b(o) = -15*o**2 - 33*o. Let i(p) = 4*b(p) + 9*g(p). Factor i(y).
3*y*(y + 4)
Let u be (150/(-3))/(-10) + (-7)/(7/3). Let -2/5*b + 2/5*b**3 + 4/5 - 4/5*b**u = 0. Calculate b.
-1, 1, 2
Let a(w) = -w**3 - 2*w**2 + w - 4. Suppose 3*y + 3*k = -0*k - 6, 3*k - 18 = 5*y. Let u be a(y). What is m in 0*m - 2*m**3 + m**2 + 8 - 9*m**u + 2*m = 0?
-4, -1, 1
Suppose 0 = -13*c + 11*c + 8. Let r be -4 - (-11 + c + 0). Determine z so that 0*z**4 - 6*z + 2*z**r - 4*z**2 + 4*z**4 + 4*z = 0.
-1, -1/2, 0, 1
Solve 2*c + 37 + 0*c**3 + 16*c - 5*c**4 + 3 - 30*c**3 - 35*c**2 + 12*c = 0.
-4, -2, -1, 1
Let i(m) be the third derivative of 2*m**2 - 1/30*m**6 + 10/3*m**3 + 3/2*m**4 + 0 + 1/5*m**5 + 0*m. Suppose i(q) = 0. What is q?
-1, 5
Determine i, given that -6/13 - 32/13*i + 38/13*i**2 = 0.
-3/19, 1
Let c be (38 - 1587/45) + 7/(-3). Suppose c*l**2 + 0 - 4/5*l = 0. Calculate l.
0, 2
Let a(s) be the second derivative of s**7/25200 + s**6/7200 - s**5/600 + 17*s**4/6 + 16*s. Let z(t) be the third derivative of a(t). Solve z(n) = 0.
-2, 1
Let w be 3/((-8)/10 - 23/(-10)). Let j(b) be the second derivative of 0*b**w + 1/9*b**3 + 1/3*b**4 + 2*b + 0 + 1/6*b**5. Factor j(r).
2*r*(r + 1)*(5*r + 1)/3
Let z = 34 + -101/3. Let v = -1546/33 - -552/11. Solve 5/3*h**4 + 5/3*h + 1/3*h**5 + v*h**3 + z + 10/3*h**2 = 0 for h.
-1
Let -8*s**3 + 71*s - 29*s**2 + 17 + 81*s - 5 - 172*s = 0. Calculate s.
-2, 3/8
Let x be ((-8)/(-14))/((-28)/(-882)*9). What is h in 3/4*h - 1/2 - 1/4*h**x = 0?
1, 2
Suppose 2*b + 3*b = -5*m + 100, 3*m - 90 = -5*b. Let q be b/18*4 + -2. Factor q*z - 2/3 - 2/3*z**2.
-2*(z - 1)**2/3
Let n = 24 - 21. Factor 5*h**2 + 32 - 32 + 8*h**n + 5*h**4 - 18*h**3.
5*h**2*(h - 1)**2
Let u(i) be the first derivative of -i**4/10 - 16*i**3/3 + 172*i**2/5 - 352*i/5 + 487. Factor u(t).
-2*(t - 2)**2*(t + 44)/5
Determine w so that 70/13*w**2 - 8/13*w - 16/13*w**3 - 6/13*w**4 - 40/13 = 0.
-5, -2/3, 1, 2
Let r be (-4)/80*-9*96/68. Let w = -4/17 + r. Factor 0*l + 0*l**2 + 0 - 2/5*l**3 + w*l**4.
2*l**3*(l - 1)/5
Suppose -4 = -m - 3*y, -y - 4*y = 0. Factor -12*r**4 - 20 - 24*r**m - 136*r**2 + 21*r - 105*r - 104*r**3 - 4*r**5.
-4*(r + 1)**4*(r + 5)
Let g(d) be the second derivative of -1/210*d**7 + 1/5*d**2 + 0 + 21*d - 1/10*d**3 - 1/30*d**4 + 0*d**6 + 1/25*d**5. Let g(a) = 0. What is a?
-2, -1, 1
Let j be 2/(-1)*(-4 + 2). Let 0*l - 11*l - 8 - 64*l**j + 60*l**5 - 64*l**3 + 15*l + 72*l**2 = 0. What is l?
-1, -1/3, 2/5, 1
Suppose -z - 4*s - 17 = 0, -s + 7 = 9*z - 5*z. Let d(j) be the first derivative of 10/3*j**6 + 8/5*j**5 - 5*j**4 + 0*j**2 - 8/3*j**z + 0*j - 6. Solve d(r) = 0.
-1, -2/5, 0, 1
Suppose -2*z + 84 = -z. Determine d so that 90*d**5 - 15*d**5 + 221*d**4 + 12*d + 79*d**3 + 128*d**3 + z*d**2 - 11*d**4 = 0.
-1, -2/5, 0
Suppose 4 = 2*k - 4. Let s be (2 - 4)/(k - 5). Let w(j) = j**2 + 3*j. Let u(o) = -4*o**2 - 9*o - 1. Let r(d) = s*u(d) + 7*w(d). Let r(t) = 0. Calculate t.
1, 2
Find u, given that -194/3 + 7/3*u**2 + 677/3*u = 0.
-97, 2/7
Let z(h) be the first derivative of -h**6/24 - 5*h**5/3 - 125*h**4/6 + 18*h**2 - 54. Let a(c) be the second derivative of z(c). Factor a(d).
-5*d*(d + 10)**2
Let l(c) be the second derivative of c**6/6 + c**5 + 25*c**4/12 + 5*c**3/3 + c + 39. Determine j, given that l(j) = 0.
-2, -1, 0
Solve 141*c**2 + 63/2*c**4 + 3*c**5 + 18*c - 60 + 219/2*c**3 = 0.
-5, -2, 1/2
Let s(p) be the second derivative of -1/110*p**5 + 9*p + 0 + 0*p**2 + 1/33*p**3 + 1/66*p**4 - 1/165*p**6. Factor s(o).
-2*o*(o - 1)*(o + 1)**2/11
Suppose -4*d = 1 - 17. Suppose -3*g**5 + d*g**5 + 4*g**4 - 2*g**5 + 3*g**5 + 2*g**3 = 0. Calculate g.
-1, 0
Suppose -k + 123*h - 119*h + 3 = 0, 0 = 3*k + 5*h - 9. Find j, given that 3/2*j**k - 14*j + 1/2*j**4 - 3*j**2 - 12 = 0.
-2, 3
Let r be (-8 + 4)/(6/12*-3). Factor -r*k**3 + 0 - 4/3*k**5 - 10/3*k**4 - 2/3*k**2 + 0*k.
-2*k**2*(k + 1)**2*(2*k + 1)/3
Let z(n) = 2*n**2 - 9*n - 1. Let g be z(5). Find w, given that 2*w**3 + 6*w**3 - 2*w**4 - 6*w**2 + 8*w**g + w**3 = 0.
-2, 0, 1/2
Determine c so that -2486*c - 2484*c + 60*c**2 - 15*c**4 + 4970*c - 5*c**5 + 20*c**3 = 0.
-3, -2, 0, 2
Let k(w) be the first derivative of 3/10*w**5 + 23/6*w**3 + 2*w + 4*w**2 - 29 + 7/4*w**4. Determine u so that k(u) = 0.
-2, -1, -2/3
Factor 16 - 59*p**2 + 15*p**2 + 4*p + 18*p**2 + 24*p**2.
-2*(p - 4)*(p + 2)
Let d(t) be the third derivative of -t**5/12 + 25*t**4/12 - 4*t**2 - 12. Suppose d(s) = 0. Calculate s.
0, 10
Let u(a) = a**3 - a**2 - 3*a + 48. Let t be u(0). Let m be (-273)/(-216) + (-18)/t. Factor -4/9*z**3 + 4/9*z + m - 8/9*z**2.
-4*(z - 1)*(z + 1)*(z + 2)/9
Let i(x) be the first derivative of 2*x**5/45 - x**4/2 - 68*x**3/27 - 8*x**2/3 + 14. Suppose i(g) = 0. Calculate g.
-2, -1, 0, 12
Let s = 2/7793 + 1893685/54551. Solve 0 + 108/7*n**3 - 12/7*n**2 + 0*n - s*n**4 = 0 for n.
0, 2/9
Suppose m = -4*n + 17, -2*m + m - n = -5. Let d be -4*m + 70/15. Factor d*c**2 + 2/3*c + 0.
2*c*(c + 1)/3
Let s(y) be the first derivative of 35*y**4/4 + 80*y**3/3 + 55*y**2/2 + 10*y - 242. Let s(z) = 0. Calculate z.
-1, -2/7
Find v such that 32/5*v - 52/5*v**2 - 6/5*v**5 + 0 + 52/5*v**4 - 26/5*v**3 = 0.
-1, 0, 2/3, 1, 8
Determine q, given that 506*q - 252*q + 3*q**3 - q**2 + q**4 - 256*q - q**3 = 0.
-2, -1, 0, 1
Let n be (17 - 17)/(-1 - 2). Let w(m) be the second derivative of -4*m**2 + n - 1/6*m**4 - 4*m + 4/3*m**3. Determine c so that w(c) = 0.
2
Let h(f) be the second derivative of f**6/480 - f**5/480 - f**4/96 + f**3/48 + 7*f**2/2 + 3*f. Let o(m) be the first derivative of h(m). Factor o(w).
(w - 1)*(w + 1)*(2*w - 1)/8
Let o = 133 + -130. Let s be (-1*(-4)/(-12))/(o/(-18)). Determine v, given that -3/2 + 3/2*v - 3/8*v**s = 0.
2
Let n be (2/(-36))/((-92)/69). Let x(u) be the third derivative of -4*u**2 + 1/630*u**7 + 0 - 1/120*u**6 + n*u**4 + 0*u - 1/9*u**3 + 1/180*u**5. Factor x(t).
(t - 2)*(t - 1)**2*(t + 1)/3
Let -63 - 29 + 207*j + 31 + 16*j + 5*j**2 - 29 = 0. Calculate j.
-45, 2/5
Let n be (7 + -4)*(-11)/(-1). Find q such that -3*q**2 + 33*q**5 - n*q**3 - 3*q**2 + 12*q**2 - 6*q**4 = 0.
-1, 0, 2/11, 1
Let m(h) be the third derivative of 7*h**8/24 - 43*h**7/15 - 1657*h**6/60 - 2219*h**5/30 - 91*h**4 - 60*h**3 - 4*h**2 - 17*h. What is s in m(s) = 0?
-2, -1, -3/7, 10
Let o be (-1 - -5)*1/6. Let r be (-1 + 10/8)*(-36)/(-27). Let o*j**2 + 0 + 1/3*j**3 + r*j = 0. What is j?
-1, 0
Let r(n) be the second derivative of 2*n**7/105 - 6*n**6/25 - 2*n**5/25 + 6*n**4/5 + 2*n**3/15 - 18*n**2/5 - 89*n. Suppose r(y) = 0. Calculate y.
-1, 1, 9
Suppose 10*q + 32 = 6*q. Let g be 6/(1 + -2 + (-17)/q). Suppose 8/3*j**3 - 1/3*j**4 + 32/3*j - g - 8*j**2 = 0. Calculate j.
2
Let n(f) be the second derivative of f**6/105 + f**5/10 + f**4/3 + 8*f**3/21 + 33*f. Solve n(y) = 0.
-4, -2, -1, 0
Suppose 45*w + 3*w = -17*w + 3*w. Factor w + 1/5*p**2 - 4/5*p.
p*(p - 4)/5
Suppose 0 = 3*x - 4*x + 4. Suppose 5*v = -3*u + 108 + 159, -3*u - 219 = -x*v. Factor g**4 - 5*g**2 + 3*g**3 - 54 + v - g**5 + 2*g.
-g*(g - 1)**3*(g + 2)
Let d(t) be the third derivative of 0 + 9*t**2 + 0*t**3 + 1/140*t**6 + 0*t + 1/1176*t**8 - 2/105*t**5 + 4/735*t**7 - 1/21*t**4. Find l such that d(l) = 0.
-2, -1, 0, 1
Let c(w) be the third derivative of 81/10*w**4 + 1/150*w**6 + 3*w**2 - w + 0 - 9/25*w**5 - 486/5*w**3. Let c(t) = 0. What is t?
9
Let y be (-303)/9 - (-4)/(-1). Let a = y - -38. Find g such that a - 1/6*g**2 + 1/6*g = 0.
-1, 2
Let d(c) be the third derivative of 5*c**7/168 - 3*c**6/32 + c**5/10 - c**4/24 + 5*c**2 + 4*c. Factor d(r).
r*(r - 1)*(5*r - 2)**2/4
Let p(a) be the third derivative of -a**8/1344 - a**7/280 - a**6/240 +