5*s = o - 5*o - 20. Factor 3739*b**s + 9*b - 7*b**2 + 7*b**3 - 3738*b**4 + 22*b**2.
b*(b + 1)*(b + 3)**2
Let m(i) be the first derivative of i**8/336 - i**7/56 + i**5/6 + 18*i**3 + 214. Let n(t) be the third derivative of m(t). Find x such that n(x) = 0.
-1, 0, 2
Let f(o) = 9*o**4 + 851*o**3 + 841*o**2 - 4304*o + 2647. Let j(s) = -3*s**4 - 283*s**3 - 281*s**2 + 1435*s - 884. Let x(y) = -4*f(y) - 11*j(y). Factor x(d).
-3*(d - 1)**2*(d + 3)*(d + 96)
Let s(g) be the third derivative of 41*g**2 + 0*g**3 - 1/12*g**4 + 1/90*g**5 - 1/315*g**7 + 0 + 1/60*g**6 - 2*g. Factor s(u).
-2*u*(u - 3)*(u - 1)*(u + 1)/3
Let k(n) = 79 + 65 - 145 - 2*n. Let f(i) = -i**3 - 189*i**2 - 11901*i - 250044. Let p(s) = 2*f(s) + 6*k(s). Factor p(z).
-2*(z + 63)**3
Let f(g) be the first derivative of g**7/2940 + g**6/1260 - g**5/105 - g**4/21 - 94*g**3/3 - 75. Let z(q) be the third derivative of f(q). Factor z(a).
2*(a - 2)*(a + 1)*(a + 2)/7
Let x(c) be the first derivative of -c**4/18 + 424*c**3/27 - 140*c**2/3 - 392. Let x(k) = 0. Calculate k.
0, 2, 210
Let v(j) be the second derivative of -j**4/12 - 1900*j**3/3 - 1805000*j**2 - 2684*j + 2. Let v(w) = 0. What is w?
-1900
Suppose -84/5*i**3 + 0 + 2/5*i**5 - 88/5*i**2 - 24/5*i**4 - 6*i = 0. What is i?
-1, 0, 15
Let x be (1910/(-40))/(((-42)/(-252))/(12/(-27))). Solve -784/3 - x*z**3 + 2072/3*z + 14/3*z**4 + 820*z**2 = 0.
-1, 2/7, 14
Suppose 0 = 15*l - 12*l + 84. Let n be (-1)/4 - 707/l. Let -7*k**3 + 0*k**5 + 18*k**4 - 2*k**5 + 4*k**3 - n*k**5 = 0. Calculate k.
0, 1/3
Let b = 391 - 396. Let k(c) = -c**4 + 5*c**3 + 7*c**2 - 21*c. Let g(j) = j**4 - 6*j**3 - 6*j**2 + 22*j. Let v(y) = b*g(y) - 6*k(y). Suppose v(u) = 0. What is u?
-4, 0, 2
Let s(y) = 499*y**3 + 2309*y**2 - 495*y + 43. Let o = -544 + 538. Let u(v) = 83*v**3 + 385*v**2 - 83*v + 7. Let k(z) = o*s(z) + 39*u(z). What is l in k(l) = 0?
-5, 1/9
Let d = -2896/3 - -968. Let l(v) be the third derivative of 1/3*v**4 + 7/15*v**5 - 13/60*v**6 + 0 + 1/35*v**7 + 0*v - 8*v**2 - d*v**3. Solve l(q) = 0.
-2/3, 1, 2
Let g(j) = -20*j**3 - 574*j**2 - 65*j + 540. Let n(f) = -7*f**3 - 191*f**2 - 23*f + 179. Let k(a) = 6*g(a) - 17*n(a). Let k(p) = 0. What is p?
-197, -1, 1
Let v(a) = -14*a**3 + 87*a**2 - 851*a + 2799. Let o(r) = 5*r**3 - 29*r**2 + 284*r - 936. Let p(n) = -11*o(n) - 4*v(n). Determine x so that p(x) = 0.
9, 10
Let b(i) be the second derivative of -i**5/130 - 35*i**4/39 + 57*i + 2. Factor b(s).
-2*s**2*(s + 70)/13
Suppose 1/2*r**2 + 167/4*r**3 + 0*r - 21*r**4 + 0 = 0. What is r?
-1/84, 0, 2
What is j in 952/5 + 2/5*j**3 - 88/5*j**2 + 862/5*j = 0?
-1, 17, 28
Let x = -7/4 + -7/4. Let v = 67/18 + x. What is d in 0 - 4/9*d + v*d**2 + 2/9*d**3 = 0?
-2, 0, 1
Let r be (-13)/(-3)*3*(6 - 5). Factor 11*n**2 - 20 + r*n + 9*n + 13*n + 10*n**4 - n**2 + 5*n**5 - 40*n**3.
5*(n - 1)**3*(n + 1)*(n + 4)
Let h(p) = -p**2 - 11*p + 47. Let k be h(-14). Suppose 0 = -2*g - k*g + 182. Factor 28*q**2 + 5 + 4*q - 3 + g*q.
2*(q + 1)*(14*q + 1)
Factor -9*z + 8*z**2 - 56 + 28 + 16*z - 6*z**2 + 19*z.
2*(z - 1)*(z + 14)
Suppose 4*m + 12 = -4*c, 27*m + 27 = 28*m - 4*c. Let i(b) be the second derivative of -1/2*b**m + 0*b**2 + 8*b - 1/4*b**4 + 0. Factor i(l).
-3*l*(l + 1)
Let h = 17827 + -17817. Suppose -7*a**2 - 3/2*a**3 + 2*a**5 + 5/2*a + h*a**4 + 0 = 0. What is a?
-5, -1, 0, 1/2
Let r(n) be the third derivative of 11*n**7/525 + n**6/6 + 4*n**5/25 - 166*n**2. Find x such that r(x) = 0.
-4, -6/11, 0
Let v(q) = 41*q**4 - 47*q**3 + 224*q**2 - 240*q + 3. Let p(h) = 138*h**4 - 142*h**3 + 672*h**2 - 720*h + 10. Let c(n) = 3*p(n) - 10*v(n). Factor c(y).
4*y*(y - 2)**2*(y + 15)
Suppose 19 - 9 = 2*x. Suppose x*b - 15 = -4*r, 15 = 5*b + 5*r - 4*r. Factor -12*i**b - 2*i**2 + 10*i + 4*i**3 + 7*i**2 + 3*i**3.
-5*i*(i - 2)*(i + 1)
Let 6 + 228/5*i**2 + 218/5*i = 0. What is i?
-15/19, -1/6
Solve 1/3*m**5 + 22*m**2 + 5*m**4 - 21*m - 27 + 62/3*m**3 = 0 for m.
-9, -3, -1, 1
Let p(w) = 21*w**2 - 220*w + 389. Suppose 16 = 3*h + g + 5, -8 = -h + 4*g. Let j(d) = 4*d**2 - 44*d + 78. Let z(o) = h*p(o) - 22*j(o). Factor z(k).
-4*(k - 20)*(k - 2)
Let 333/8*g**2 + 1/8*g**3 + 335/8 - 669/8*g = 0. What is g?
-335, 1
Suppose -2/3*c**2 - 7/3 + 1/6*c**3 - 19/6*c = 0. What is c?
-2, -1, 7
Let o(t) be the third derivative of t**6/180 - 11*t**5/30 - 3*t**4 + 10*t**2 + 65*t + 1. Factor o(q).
2*q*(q - 36)*(q + 3)/3
Let h(s) = -55*s + 5. Let x be h(8). Let j = 437 + x. Solve 6/19*d**3 + 2/19*d**j - 6/19*d - 4/19 + 2/19*d**4 = 0 for d.
-2, -1, 1
Let j(o) be the first derivative of 3*o**6/2 - 48*o**5/5 - 45*o**4/4 + 16*o**3 + 18*o**2 + 1428. What is n in j(n) = 0?
-1, -2/3, 0, 1, 6
Suppose -18 + 30 = 4*l. Factor 0*k**3 - l*k**3 - 266*k + 3*k**4 + 266*k.
3*k**3*(k - 1)
Let x(u) = u**3 - 2*u**2 + 2. Let b(q) = 5*q**3 - 56*q**2 + 384*q - 930. Let l(v) = 2*b(v) - 6*x(v). Let l(p) = 0. Calculate p.
6, 13
Suppose -632 = -135*x - 275*x + 252*x. Find d such that 3/4 - 1/4*d**x - d + d**3 - 1/2*d**2 = 0.
-1, 1, 3
Let z = 13452385/7 - 1921759. Let 10 + 2/7*p**2 - z*p = 0. What is p?
1, 35
Let y be -2*(54/4)/(-9). Suppose -2*m**4 - 32*m + 27*m**2 + 10*m - m**4 - 20*m + 0*m**4 + 18*m**y = 0. What is m?
-2, 0, 1, 7
Let -3*p**2 + 248 + 37 + 26 + 133 + 216*p = 0. Calculate p.
-2, 74
Suppose -78*o = -69*o + 1629. Let t = 547/3 + o. Solve 28/3 + t*v**2 + 32/3*v = 0 for v.
-7, -1
Let j(s) = s**2 - 18*s + 42. Let g be j(14). Let y = g - -27. Factor -y*o**4 - 3*o**2 - 18*o**4 + 43*o**4 - 6*o**3 - 15*o**4.
-3*o**2*(o + 1)**2
Solve -792/7 + 1180/7*w - 4/7*w**3 - 384/7*w**2 = 0.
-99, 1, 2
Let q = 2029/1652 + -404/413. Suppose -q*s**2 - 4 + 2*s = 0. Calculate s.
4
Factor 300*v**2 - 157 + 5*v + 449 + 23 + 1114*v - 54.
3*(4*v + 1)*(25*v + 87)
Let i = -898 - -906. Suppose -i + 2 = 5*v + 3*j, -5*j - 10 = 0. Determine f, given that 2*f**4 - 1/2*f**3 - 1/3*f**2 + v + 0*f - 7/6*f**5 = 0.
-2/7, 0, 1
Factor -2/9*z**2 + 460/9 + 26/9*z.
-2*(z - 23)*(z + 10)/9
Let o be (-8 - -19)*(-32)/(-88). Let n(g) be the second derivative of 11/4*g**3 + 15/4*g**2 + 5*g + 7/8*g**o + 3/40*g**5 + 0. Factor n(k).
3*(k + 1)**2*(k + 5)/2
Let z = 88 - 22. Suppose -z*o + 63*o + 9 = 0. Let 12/13*u + 2/13*u**o - 14/13*u**2 + 0 = 0. What is u?
0, 1, 6
Let l(j) = 32*j - 30. Let h(i) = i**3 + 11*i**2 + 28*i - 9. Let a be h(-5). Let c be l(a). Suppose 0*r - 3/5*r**c + 1/5*r**3 + 0 = 0. What is r?
0, 3
Factor 0 - 171/7*n**2 + 174/7*n - 3/7*n**3.
-3*n*(n - 1)*(n + 58)/7
Let r = 190341/4 - 47583. Factor 9/4*k - 3/4*k**4 + 3/4*k**2 + 0 - r*k**3.
-3*k*(k - 1)*(k + 1)*(k + 3)/4
Let s(l) be the first derivative of 11*l**6/27 + 136*l**5/45 + 5*l**4/2 - 208*l**3/27 - 20*l**2/9 + 3888. Suppose s(m) = 0. What is m?
-5, -2, -2/11, 0, 1
Suppose 11/4*r**3 + 0 - 9/2*r**2 + 0*r - 1/4*r**4 = 0. What is r?
0, 2, 9
Factor -4*y**2 + 1097*y + 3007*y - 1943236 + 645*y + 827*y.
-4*(y - 697)**2
Factor -84681*x + 339*x**2 + 799657 - 3*x**3 + 668*x**2 + 1938362 - 134*x**2.
-3*(x - 97)**3
Let w(q) be the first derivative of -6 + 32/3*q**3 - 28*q - 4/5*q**5 - 6*q**4 + 12*q**2. Determine c so that w(c) = 0.
-7, -1, 1
Let k(l) = l**2 + 24*l. Let n(j) = 11. Let o(y) = -3*k(y) - 12*n(y). Let o(i) = 0. Calculate i.
-22, -2
Let b(z) be the first derivative of z**6/27 - 14*z**5/45 + z**4/6 + 46*z**3/27 - 32*z**2/9 + 8*z/3 + 893. Factor b(k).
2*(k - 6)*(k - 1)**3*(k + 2)/9
Let d = 2726/7 - 389. Factor -d*h**3 + 18/7*h - 24/7 + 9/7*h**2.
-3*(h - 4)*(h - 1)*(h + 2)/7
Let q be (8/(-64))/((-2)/16) + -1482. Let m = q + 1485. Suppose 4 + 1/3*o**5 + 9*o**2 - o**m - 5/3*o**3 - 32/3*o = 0. Calculate o.
-3, 1, 2
Let n(b) be the second derivative of 4*b**3 - 1/30*b**4 - 13 + 3*b - 180*b**2. Factor n(v).
-2*(v - 30)**2/5
Let t(a) = 2*a + 47. Let s be t(-23). Let m(b) = -6*b**3 + 50*b**2 - 192*b + 258. Let i(y) = y**3 - y**2 - 1. Let l(j) = s*m(j) + 2*i(j). Factor l(k).
-4*(k - 4)**3
Let o(f) = -f**3 - f**2 - f + 1. Let x = 10 - 10. Let t = -1 - x. Let q(m) = 5*m**3 + 21*m**2 + 33*m + 15. Let v(a) = t*q(a) - o(a). Factor v(u).
-4*(u + 1)*(u + 2)**2
Let u(g) = -34*g**2 - 18700*g + 4664. Let z(y) = 492*y**2 + 271149*y - 67629. Let q(j) = 72*u(j) + 5*z(j). Suppose q(s) = 0. What is s?
-779, 1/4
Suppose 0 = -13*c - 120 + 159. Suppose -c*x + 22*x = 38. Factor 0 - 2/5*w**x - 4/5*w.
-2*w*(w + 2)/5
Let p(y) be the first derivative of 2*y**3/3 + 29*y**2/6 +