+ 6)/7
Let o(y) be the third derivative of y**7/105 + 13*y**6/10 - y**5/10 - 59*y**4/3 - 52*y**3 + 3*y**2 + 4*y + 32. Determine a, given that o(a) = 0.
-78, -1, 2
Let s = 531 + -531. Let z(w) be the third derivative of 0 + 1/90*w**5 + 7/36*w**4 + 0*w + s*w**3 - 10*w**2. Factor z(j).
2*j*(j + 7)/3
Let n(d) be the third derivative of -d**7/525 - d**6/100 + d**5/10 + 19*d**4/60 - 2*d**3 - 2*d**2 - 31. Determine w, given that n(w) = 0.
-5, -2, 1, 3
Suppose 26/5*d**2 + 0 - 2/5*d**3 - 24/5*d = 0. Calculate d.
0, 1, 12
Let i = -115 + 117. Let f be 6*(-2 - (-5)/i) - -1. What is t in 26*t**2 - 36*t + 24 - 8 - f*t**3 - 2*t**2 = 0?
1, 4
Let r(d) be the third derivative of -d**5/30 + 5*d**4/3 - 612*d**2. Factor r(i).
-2*i*(i - 20)
Let q = -7666 - -7673. Let b(u) be the second derivative of 10*u**2 - 1/4*u**5 + 0 - q*u - 5/4*u**4 + 0*u**3. Factor b(l).
-5*(l - 1)*(l + 2)**2
Let t(z) be the second derivative of -1/3*z**4 + 0*z**2 + 0 - 5/6*z**3 - 1/90*z**6 + 1/10*z**5 + z. Let c(q) be the second derivative of t(q). Factor c(v).
-4*(v - 2)*(v - 1)
Let h = 391241/4 - 97810. Factor 0 + 0*y - h*y**4 - 1/4*y**3 + 1/2*y**2.
-y**2*(y - 1)*(y + 2)/4
Let k(g) be the first derivative of 1/26*g**4 + 50/13*g + 44 + 15/13*g**2 - 6/13*g**3. Find r such that k(r) = 0.
-1, 5
Solve -3/2*r**3 + 87/2*r**2 + 96 + 141*r = 0.
-2, -1, 32
Let a(x) be the third derivative of x**5/270 - 7*x**4/27 + 32*x**3/9 - 2*x**2 - 367*x. Factor a(l).
2*(l - 24)*(l - 4)/9
Let l(j) = -35*j**3 + j**2 + 2*j + 1. Let f be l(-1). Solve 14 + 3*h**3 + f*h - 2 + 13*h + 24 + 21*h**2 = 0 for h.
-3, -2
Let y(h) be the second derivative of -h**8/26880 - h**7/2520 - h**6/720 + 11*h**4/12 - 4*h + 13. Let p(d) be the third derivative of y(d). Solve p(z) = 0 for z.
-2, 0
Suppose -4*o + 3*l - 5 = -269, 4*o + 3*l = 288. Let z = -64 + o. Factor 10*s + 15*s + 46*s**2 - 18*s**2 - z*s.
4*s*(7*s + 5)
Let s(z) be the first derivative of 0*z + 0*z**2 + 15/4*z**4 + 3*z**5 + 5/6*z**6 + 5/3*z**3 + 69. Factor s(x).
5*x**2*(x + 1)**3
Let x(i) be the first derivative of 4/3*i**3 - 14*i**2 - 72*i - 82. Factor x(g).
4*(g - 9)*(g + 2)
Let w(s) = 1 - 3*s**3 + 2 - 2*s + 1 - s**2 - 4*s**2. Suppose 4*r + 5 = -15. Let l(y) = 7*y**3 + 11*y**2 + 5*y - 8. Let f(c) = r*w(c) - 2*l(c). Factor f(g).
(g - 1)*(g + 2)**2
Determine o so that -40040*o + 515*o**2 + 118580/3 - 5/3*o**3 = 0.
1, 154
Let t(h) be the first derivative of -h**6/18 + 3*h**5/5 - 23*h**4/12 + 11*h**3/9 + 4*h**2 - 20*h/3 + 150. Solve t(j) = 0.
-1, 1, 2, 5
Let v(a) be the second derivative of -1/110*a**5 + 3/44*a**4 - 2/11*a**3 - 2*a + 0 + 3/2*a**2. Let t(c) be the first derivative of v(c). Factor t(f).
-6*(f - 2)*(f - 1)/11
Let i(w) = -5*w**3 - 6*w**2 + 9*w - 42. Let k(v) = 6*v**3 + 8*v**2 - 9*v + 48. Let b(m) = -5*i(m) - 4*k(m). Let b(u) = 0. What is u?
-3, 2, 3
Suppose 5*j = 3*c - 15, 47*j - 45*j = 4*c - 6. Factor 1/7*t**3 - 5/7*t**2 - 6/7*t + c.
t*(t - 6)*(t + 1)/7
Let q be (-50)/(-12) - (-2)/(-12). Suppose 7 - 43 = -q*p. Determine v, given that -5*v**2 - 54 - 4*v + p - 26*v + 0*v**2 = 0.
-3
Let c(g) be the second derivative of -121*g**4/36 - 638*g**3/9 - 1682*g**2/3 + 93*g + 11. Factor c(u).
-(11*u + 58)**2/3
Let u(b) = b**2 - 5764*b + 8248409. Let v(g) = -4*g + 5. Let r(w) = -3*u(w) + 15*v(w). Factor r(i).
-3*(i - 2872)**2
Let d(q) = 5*q**2 - q + 1. Let v(m) = -2*m**3 + 4*m**2 - 38*m - 114. Let u(x) = 10*d(x) + v(x). Find y, given that u(y) = 0.
-1, 2, 26
Let z(g) be the third derivative of g**6/12 - 221*g**5/30 - 236*g**4/3 - 964*g**3/3 + g**2 + 246*g + 1. Solve z(y) = 0 for y.
-2, 241/5
Let k be 18/10 + (-1066)/(-130). Let u(h) be the first derivative of 0*h**4 + 4/45*h**5 + 0*h**2 + 0*h**3 + k + 0*h - 5/27*h**6. Factor u(x).
-2*x**4*(5*x - 2)/9
Let f(i) be the third derivative of i**5/240 - 69*i**4/16 + 14283*i**3/8 - 37*i**2. What is a in f(a) = 0?
207
Suppose -3*d = -0*d. Suppose x - 28 - 6 = d. Factor 38 + z**2 + x + 40 - 111 - 2*z.
(z - 1)**2
Let c(b) be the third derivative of 23*b**7/1260 - b**6/360 - 299*b**5/360 - 125*b**4/72 + 2*b**3/3 - 570*b**2. Suppose c(i) = 0. Calculate i.
-3, -1, 2/23, 4
Let l = -113 - -118. Suppose 12 = p - 4*a, -4*p = -6*p - l*a - 15. Suppose -9/8*y - 3/8*y**3 + p + 3/2*y**2 = 0. What is y?
0, 1, 3
Let 261/5 + 35*r**4 - 82/5*r**3 - 436/5*r**2 + 84/5*r - 2/5*r**5 = 0. What is r?
-1, 1, 3/2, 87
Let w = -17 + 15. Let s be 0 - -1 - 2/w. Factor 6*c - c**3 - 3*c**3 + 2*c**4 - s*c + 0*c**3 - 2.
2*(c - 1)**3*(c + 1)
Let n(y) be the second derivative of y**6/30 - 193*y**4/6 - 528*y**3 - 2783*y**2/2 + 13*y - 16. Determine x, given that n(x) = 0.
-11, -1, 23
Let l(w) be the third derivative of w**7/840 + 967*w**6/240 + 937021*w**5/240 + 155687*w**4/8 + 77763*w**3/2 - 16*w**2 + 24*w. Determine z, given that l(z) = 0.
-966, -1
Let 4/3*x**3 - 2/3*x**5 - 2/3*x + 0 + 0*x**2 + 0*x**4 = 0. Calculate x.
-1, 0, 1
Let t(i) be the second derivative of -i**6/30 - 19*i**5/20 - 119*i**4/12 - 245*i**3/6 + 1825*i. Determine f so that t(f) = 0.
-7, -5, 0
Let g(m) be the third derivative of m**7/105 + 17*m**6/30 + 253*m**5/30 - 51*m**4 + 108*m**3 + 2371*m**2 - 2. Factor g(x).
2*(x - 1)**2*(x + 18)**2
Let a be (-10324)/(-11020) - (-2)/(-10). Suppose a*q - 2/19*q**2 - 24/19 = 0. What is q?
3, 4
Suppose -1282 = -4*y + 986. Factor 674 + 280*z**2 - 192*z + y*z - 245*z**3 - 584.
-5*(z - 2)*(7*z + 3)**2
Factor 92/5*b**2 + 4/5*b - 92/5 - 4/5*b**3.
-4*(b - 23)*(b - 1)*(b + 1)/5
Let h(j) be the third derivative of j**6/40 + 29*j**5/100 - 141*j**4/40 + 27*j**3/10 - 14*j**2 - 25*j - 1. Factor h(u).
3*(u - 3)*(u + 9)*(5*u - 1)/5
Suppose -5*u = -12*v + 18*v - 33, 18 = 3*u + 3*v. Let j(z) be the first derivative of 2*z**4 + 0*z**2 + 4/3*z**u + 4/5*z**5 + 0*z + 33. What is b in j(b) = 0?
-1, 0
Suppose 59*h - 1411 - 603 = 1113. Let s(y) be the third derivative of -2/21*y**4 - 1/105*y**5 - h*y**2 + 0 - 2/7*y**3 + 0*y. Factor s(j).
-4*(j + 1)*(j + 3)/7
Let i(j) = 4*j**2 - 13*j + 52. Let k be i(-9). Let f = k + -1971/4. Factor -13/4*n - 7/4 - 5/4*n**2 + f*n**3.
(n - 7)*(n + 1)**2/4
Let i(c) be the first derivative of c**4/14 - 38*c**3/21 + 9*c**2 - 90*c/7 - 2848. Determine j so that i(j) = 0.
1, 3, 15
Suppose -23 = -q + 1. Suppose 4*z + 16 = q. Factor 2*u**2 - 25 - 4*u**2 - 30*u - z*u**2 - u**2.
-5*(u + 1)*(u + 5)
Let w be 10/7 + (44/28 - 1). Factor 94*x**2 - 60*x**2 + 3*x - 3*x**3 - 55*x**w + 21.
-3*(x - 1)*(x + 1)*(x + 7)
Let g(k) be the first derivative of -k**5/45 + 14*k**3/9 - 40*k**2/9 - 159*k + 25. Let t(d) be the first derivative of g(d). Factor t(s).
-4*(s - 4)*(s - 1)*(s + 5)/9
Let w be (-3 + 6/(270/125))*(-54)/6. Determine o so that 21/8*o**3 + 3 + 27/2*o + 45/4*o**w = 0.
-2, -2/7
Let z(m) = -3*m**3 + 20*m**2 - 59*m + 10. Let t(u) = 24*u**3 - 161*u**2 + 488*u - 79. Let q(g) = -2*t(g) - 17*z(g). Factor q(s).
3*(s - 4)*(s - 1)**2
Let q be 6/(-8) + (-21)/(-12). Let f be (q - -1)*(-2 - 21/(-6)). Let 6*r + 19*r - 10*r**4 - r + 10 - 25*r**f + r = 0. What is r?
-2, -1, -1/2, 1
Let z = 233 - 231. Factor 4*x + z*x**5 - 53*x**4 - 8*x**2 + 0*x + 18*x**3 + 43*x**4 - 6*x**2.
2*x*(x - 2)*(x - 1)**3
Let h(a) be the second derivative of 41/15*a**3 - 81/10*a**2 - 45 - 1/60*a**4 + 3*a. Suppose h(i) = 0. What is i?
1, 81
Let p be (-2365622)/18180 + 130 - 2*1/(-9). Let d be ((-3)/(-4))/(4/16). Solve 0*h**d + p*h**4 + 0*h + 2/5 - 1/2*h**2 = 0 for h.
-2, -1, 1, 2
Suppose 14/5*m**2 + 0 + 0*m + 2*m**4 + 2/5*m**5 - 26/5*m**3 = 0. Calculate m.
-7, 0, 1
Let l(a) be the first derivative of 0*a**2 + 5/12*a**4 + 17*a + 40 + 0*a**3. Let o(h) be the first derivative of l(h). Suppose o(y) = 0. What is y?
0
Let c(v) be the third derivative of v**5/15 - 7*v**4/3 - 38*v**3/3 - 49*v**2 - 2. Let i(y) = -y**2 - y + 2. Let h(k) = -c(k) - 8*i(k). Factor h(q).
4*(q + 1)*(q + 15)
Let t(a) be the first derivative of -a**5/30 + 7*a**4/2 - 41*a**3/3 - 57*a**2/2 - 5. Let l(w) be the second derivative of t(w). Factor l(m).
-2*(m - 41)*(m - 1)
Let f = 2 - 0. Suppose -291*k + 287*k = -24. What is j in -9 + 10 + f*j**5 + 8*j - 1 - 4*j**4 + 8*j**2 - k*j**3 = 0?
-1, 0, 2
Let m(n) be the first derivative of 2*n**4 + 6*n**3 - 10*n**2 - 6*n - 494. Factor m(d).
2*(d - 1)*(d + 3)*(4*d + 1)
Let b(n) be the first derivative of -2*n**6/15 + n**5/20 - 60*n + 223. Let u(m) be the first derivative of b(m). Factor u(i).
-i**3*(4