*4 - 1/6*y**3 - 104*y**2 + 0*y + 0 - 243/80*y**5. Suppose r(w) = 0. What is w?
2/27
Let t = 115385/403333 + -21/57619. What is k in t*k**2 - 20/7*k + 0 = 0?
0, 10
Let m(a) be the third derivative of -a**6/780 + a**5/78 + a**4/156 - 5*a**3/39 + 3368*a**2. Solve m(q) = 0 for q.
-1, 1, 5
Let y(q) be the second derivative of q**8/20160 + q**7/1260 + q**6/432 - 31*q**4/12 - q**3/6 - 40*q. Let h(z) be the third derivative of y(z). Factor h(b).
b*(b + 1)*(b + 5)/3
Let s be (17 + -3)*(-6)/(-7). Let h be (s*(-10)/560)/(6/(-7)). Factor 7/4*k**3 + 0 + 11/4*k**2 + h*k**4 + 5/4*k.
k*(k + 1)**2*(k + 5)/4
Let a(x) = 20*x**2 + 17*x - 21. Let f be a(24). Solve r**3 + 37098 + 48*r**2 + 98351 + 114598 + 141*r**2 + f*r = 0.
-63
Let g(d) be the second derivative of 1/12*d**4 + 0 + 170*d - 7/6*d**3 - 4*d**2. What is x in g(x) = 0?
-1, 8
Suppose 3*a - 2*a + 16 = -4*l, -5*a + l = -25. Find f, given that -16 + 6 + f + 6*f + f**5 - 8*f**3 - 74*f**2 - 4*f**a + 42*f**2 + 46*f**2 = 0.
-2, -1, 1, 5
Factor -15*b**2 + 18*b**3 + 3*b**2 + 3*b**5 - 1582668*b - 12*b**4 + 1582671*b.
3*b*(b - 1)**4
Suppose -200/7*r + 82/7*r**3 + 58/7*r**4 - 248/7*r**2 + 64/7 - 8/7*r**5 = 0. What is r?
-2, -1, 1/4, 2, 8
Let x(r) be the second derivative of 2*r**7/21 + 9*r**6/10 + 13*r**5/4 + 31*r**4/6 + 2*r**3 - 4*r**2 - 3*r - 266. Factor x(s).
(s + 1)*(s + 2)**3*(4*s - 1)
Let l(s) be the first derivative of -42 - 2/9*s**3 + 1/5*s**5 + 1/18*s**6 - 1/2*s**2 + 1/6*s**4 - 1/3*s. Suppose l(j) = 0. Calculate j.
-1, 1
Let a(s) be the second derivative of s**4/54 + 6070*s**3/27 + 9211225*s**2/9 - 17*s - 49. Factor a(y).
2*(y + 3035)**2/9
Let k(g) be the first derivative of 21*g**4/20 + 11*g**3/5 + 6*g**2/5 + 4483. Find q such that k(q) = 0.
-1, -4/7, 0
Let w(o) = o**2 + 32*o - 61. Let j be w(-34). Find v, given that -68*v - j*v**2 - 97 + v**3 - 20 - v = 0.
-3, 13
Let y be 34/8*1 - (-560)/(-448). Factor -62*z**2 + 182*z**2 + 9*z - 19 + 64 + 30*z**y + 121*z - 5*z**4.
-5*(z - 9)*(z + 1)**3
What is c in 11*c**2 + 28/3*c - 7/12*c**4 - 1/4*c**5 + 3*c**3 + 0 = 0?
-7/3, -2, 0, 4
Factor 951*t + 2 + 11243741*t**2 - 11243267*t**2 + 6 - 2.
3*(t + 2)*(158*t + 1)
Let 202/3*k**2 - 1856*k + 7680 - 2/3*k**3 = 0. Calculate k.
5, 48
Let o(h) be the first derivative of h**6/240 + 17*h**5/80 + h**4 - 29*h**3/3 + 31. Let t(m) be the third derivative of o(m). Solve t(f) = 0 for f.
-16, -1
Let f(d) be the third derivative of -2*d**7/735 - d**6/10 - 24*d**5/35 + 72*d**4/7 + 959*d**2. What is r in f(r) = 0?
-12, 0, 3
Let d(j) be the first derivative of j**3/12 + j**2/4 - 2*j + 1530. Factor d(o).
(o - 2)*(o + 4)/4
Let x = 140233/7 - 20033. Factor -30/7*h - x*h**2 + 32/7.
-2*(h - 1)*(h + 16)/7
Let y be -7*38/931*(-217)/124. Solve y*r**2 + 2 + 5/2*r = 0.
-4, -1
Let n be (30/144*-4)/(((-34)/16)/17). Suppose -16/3 - 4/3*o**2 + 4/3*o**4 - 4/3*o**5 - 32/3*o + n*o**3 = 0. Calculate o.
-1, 2
Factor 1/5*g**2 - 111/5 + 34/5*g.
(g - 3)*(g + 37)/5
Let j(g) be the first derivative of g**3/15 + 661*g**2/5 + 436921*g/5 - 89. Factor j(t).
(t + 661)**2/5
Let g(c) be the second derivative of -c**3 + 0 - 44*c + 1/2*c**2 + 5/12*c**4. Determine q, given that g(q) = 0.
1/5, 1
Let n(y) be the first derivative of -y**6/33 - 40*y**5/11 - 2785*y**4/22 - 28780*y**3/33 - 27260*y**2/11 - 35344*y/11 + 1190. Factor n(s).
-2*(s + 2)**3*(s + 47)**2/11
Let f(z) = 8*z**3 - 384*z**2 + 1892*z - 2248. Let b(d) = -9*d**3 + 382*d**2 - 1894*d + 2252. Let n(r) = -4*b(r) - 5*f(r). Find w such that n(w) = 0.
2, 3, 93
Let b be 2/11 + 160016/(-176) + -14. Let a = -923 - b. Suppose a + 6/5*y - 9/5*y**2 = 0. What is y?
0, 2/3
Let a(t) be the third derivative of 49/24*t**3 + 77/192*t**4 + 0 + 1/960*t**6 + 1/30*t**5 + 124*t**2 + 0*t. Factor a(h).
(h + 2)*(h + 7)**2/8
Let l be 7/((-21)/45) + (-156)/(-60) + 14. Factor 6/5 - 6/5*b**2 + 8/5*b**3 - l*b.
2*(b - 1)*(b + 1)*(4*b - 3)/5
Suppose -593*f - 65 + 947 = -304. Factor -2/3*j**3 - 26/9*j**f + 16/9 - 4/9*j.
-2*(j + 1)*(j + 4)*(3*j - 2)/9
Let s = -25 + 28. Factor 9*j**3 - 16*j + 12*j**2 - 6*j**4 + 7*j**s + 10*j**4 - 16.
4*(j - 1)*(j + 1)*(j + 2)**2
Suppose -254*v + 91*v + 258*v**2 - 101*v - 261*v**2 - 1008 = 0. What is v?
-84, -4
Let l(r) be the third derivative of 1/220*r**6 + 0 + 0*r**5 + 1/1155*r**7 - 2*r**2 - 15*r - 1/33*r**4 + 0*r**3. Factor l(o).
2*o*(o - 1)*(o + 2)**2/11
Let z be 70/245 + ((-7638)/(-7))/3. Let d = -4730/13 + z. Let 0 + 6/13*i**4 - 6/13*i**3 + 0*i - 2/13*i**5 + d*i**2 = 0. Calculate i.
0, 1
Suppose 7*g - 4*g - 11 = 2*h, -g = h - 7. Let a be 106/84 - (1 - 4/7). Factor 0 - a*y - 5/6*y**h.
-5*y*(y + 1)/6
Let x be 9/(-6)*(-4)/30*-18 - (872 + -878). Solve 7/5*p**2 + 0 + 1/5*p**3 + x*p = 0 for p.
-4, -3, 0
Let k = 1820 - 1725. Suppose k*j - 100*j = -10. Factor 1/6*z**4 - 1/2*z**3 + 1/3*z**j + 0*z + 0.
z**2*(z - 2)*(z - 1)/6
Let g(l) = l**2 - 59*l + 52. Suppose 1 = -2*a + 7. Let m(r) = -6*r**2 + 294*r - 260. Let f(n) = a*m(n) + 14*g(n). Factor f(w).
-4*(w - 13)*(w - 1)
Let n(h) be the third derivative of 74*h**5/105 + h**4/84 - 673*h**2. Factor n(d).
2*d*(148*d + 1)/7
Suppose -11 = s - 18. Factor 800 - 3*t**2 + 80*t + s*t**2 - 2*t**2.
2*(t + 20)**2
Let s(y) be the first derivative of -y**4/10 - 56*y**3/5 - 135*y**2 - 4896. Suppose s(l) = 0. What is l?
-75, -9, 0
Factor -32*j + 32*j**3 - 4/3 + 4/3*j**2.
4*(j - 1)*(j + 1)*(24*j + 1)/3
Let g = 65 + -73. Let y(j) = -14*j**2 - 4*j + 10. Let u(a) = -9*a**2 - 2*a + 6. Let v(l) = g*u(l) + 5*y(l). Let v(r) = 0. Calculate r.
1
Let p(z) be the second derivative of 3/14*z**7 + 6*z**2 + 4*z**3 - 3/4*z**4 - z - 1/10*z**6 - 1 - 33/20*z**5. Find u such that p(u) = 0.
-1, -2/3, 1, 2
Suppose x = 4*x - 4*a - 14, x - 2*a = 6. Factor 9 + 3*h - 1 + h**x - 12.
(h - 1)*(h + 4)
Let h be 94/3 + -3*(-10)/45. Suppose 137*n**3 + 18*n**2 - 276*n**3 + 137*n**3 - 35*n - 13*n + h = 0. Calculate n.
1, 4
Let 12 + 5/2*i**3 - 11*i**2 - 26*i = 0. What is i?
-2, 2/5, 6
Let d(k) = -5*k**5 - 5*k**4 + 2*k**3 + 10*k**2 + 3*k + 3. Let i(r) = 6*r**5 + 4*r**4 - 4*r**3 - 12*r**2 - 2*r - 4. Let o(y) = -3*d(y) - 2*i(y). Factor o(z).
(z - 1)*(z + 1)**3*(3*z + 1)
Find p, given that 12 - 2/5*p**3 - 82/5*p + 24/5*p**2 = 0.
1, 5, 6
Suppose -4*a + 11 = -21. Determine t, given that t**5 + 158 - 166 + 6*t - a*t**4 + 25*t**3 - 38*t**2 + 22*t = 0.
1, 2
Factor -327/4*g + 3/4*g**3 + 27/2*g**2 + 207/2.
3*(g - 3)*(g - 2)*(g + 23)/4
Let v be (-98)/(-24) + 1771/(-644). What is k in 4/3*k**2 + v*k - 40 = 0?
-6, 5
Let z(r) be the first derivative of -11/9*r**2 + 4/3*r + 8/27*r**3 - 89 + 1/18*r**4. Factor z(l).
2*(l - 1)**2*(l + 6)/9
Let c(n) be the second derivative of n + 2/3*n**3 + 1/15*n**6 + 3 + 0*n**2 - 3/40*n**5 - 5/12*n**4 + 1/84*n**7. Factor c(a).
a*(a - 1)**2*(a + 2)*(a + 4)/2
Let d be ((-44)/96 - (-99)/297) + (-42)/(-80). Find g such that 0 - d*g + 4/5*g**2 - 2/5*g**3 = 0.
0, 1
Let 2/21*v**3 + 0 - 8/21*v**2 - 8/21*v + 2/21*v**4 = 0. Calculate v.
-2, -1, 0, 2
Let k(i) be the third derivative of 0*i**3 - 2/21*i**8 + 0 + 8/105*i**7 + 1/30*i**5 + 82*i**2 + 0*i**4 + 0*i + 7/60*i**6. Let k(x) = 0. Calculate x.
-1/4, 0, 1
Let f(s) be the third derivative of s**6/40 - 44*s**5/5 - 177*s**4/8 - 3796*s**2. Factor f(o).
3*o*(o - 177)*(o + 1)
Let n(d) be the first derivative of -d**4/132 - d**3/6 - 9*d**2/11 + 77*d + 46. Let q(t) be the first derivative of n(t). Solve q(c) = 0 for c.
-9, -2
Let b(a) = -800*a**3 + 1042*a**2 - 247*a - 33. Let m(i) = -160*i**3 + 208*i**2 - 50*i - 6. Let n(u) = -2*b(u) + 11*m(u). Suppose n(v) = 0. Calculate v.
0, 2/5, 7/8
Let r(s) be the second derivative of 225*s**7/14 + 843*s**6/2 - 4083*s**5/20 - 4139*s**4/4 + 568*s**3 - 114*s**2 - 438*s. Determine m, given that r(m) = 0.
-19, -1, 2/15, 1
Find q, given that -363370 + 182001 + 181784 + 78*q - q**2 = 0.
-5, 83
Let x(a) be the third derivative of a**6/1080 - 11*a**5/360 + 5*a**4/36 + a**3/3 - 142*a**2. Let r(c) be the first derivative of x(c). Let r(p) = 0. What is p?
1, 10
Suppose 26 = q - 3*v, 4*q - 7*q - 4*v = 26. Let t(h) be the first derivative of 0*h + 1/20*h**5 + 3/16*h**4 + 0*h**3 + 0*h**q - 32. Solve t(i) = 0 for i.
-3, 0
Suppose -12 = -4*a - 0. Suppose -4 = -2*p + 3*j, -5*p + 31 + 0 = a*j. Solve -6*f**2 + 5 - 20*f - 4 - p + 17*f**2 = 0.
-2/11, 2
Suppose 4*t - 60 = 40. Factor 5*u**3 + 46 + 24 - t*u**2 - 10*u + 18 + 32.
5*(u - 4)*(u - 3)*(u + 2