 k/70 + (-24)/84. Solve b*s + 6/5 + 2/5*s**2 = 0 for s.
-3, -1
Let y be (-2)/(-3) - (-172)/12. Let q = y - 13. Find m such that 8*m**4 - 16*m**4 - 4*m**2 + 4*m**5 + 0*m**2 + 10*m**3 - q*m**5 = 0.
0, 1, 2
Let y(t) be the first derivative of t**5/40 + t**4/16 - t**3/6 - t**2/8 + 3*t/8 + 95. Let y(z) = 0. What is z?
-3, -1, 1
Suppose 220*v - 221*v - 9 = -2*q, 4*q + 2 = -2*v. Let d be (-15)/(-6) - 2*1. Determine a so that a + 1/2 + d*a**q = 0.
-1
Let d = -1/1023 - -343/2046. Let -d*k**5 + 0*k + 1/6*k**2 + 1/6*k**3 - 1/6*k**4 + 0 = 0. What is k?
-1, 0, 1
Let u(m) = m**3 - 2*m**2. Let o(h) = -5*h**3 + 22*h**2 - 15*h. Let c(b) = o(b) + 2*u(b). Solve c(i) = 0.
0, 1, 5
Let v be 3 + -8 + 3 + 4. Let j(w) = 3*w**2 - 7*w + 1. Let n be j(-6). Factor -v*u**2 + n*u - 151*u - u**3.
-u**2*(u + 2)
Suppose o - 672 - 70 = 0. Let c = 3724/5 - o. Suppose -26/5*w**2 + 8/5*w**5 - 28/5*w**3 + 8*w + c*w**4 - 8/5 = 0. Calculate w.
-2, 1/4, 1
Let d(i) be the second derivative of 3*i**5/20 - 53*i**4/4 + 364*i**3 - 1014*i**2 + 53*i + 2. Factor d(m).
3*(m - 26)**2*(m - 1)
Let 18*l**2 - 5 - 3 - 10*l - 11*l**2 - 9*l**2 = 0. Calculate l.
-4, -1
Suppose 2*n + 3*n = 40. Suppose b - 5*b = -n. Determine i, given that 3*i + 0*i + 3*i**b - 6*i**2 = 0.
0, 1
Let o = 24607/4 + -6151. Factor 1 + 1/8*m**2 - o*m.
(m - 4)*(m - 2)/8
Let 2*k + 13187 + k**2 + 0*k + 8*k - 13163 = 0. What is k?
-6, -4
Suppose 14 - 12 = 2*g. Let d be 18/(-4)*g/(-9). Let d*j**2 + 0*j + 0 = 0. What is j?
0
Let k(c) = 3*c**2 - 18*c + 19. Suppose -3*a + 70 = 58. Let l(y) = 3*y**2 - 18*y + 18. Let i(s) = a*l(s) - 3*k(s). Factor i(f).
3*(f - 5)*(f - 1)
Let v be (10/(-45))/(1/18*-2). Let u = 24 + -18. Find p, given that u*p + v*p**3 - 20/3*p**2 - 4/3 = 0.
1/3, 1, 2
Let p(c) be the second derivative of 0 + 7*c - 1/3*c**4 - c**2 - c**3 + 1/5*c**6 + 1/5*c**5 + 1/21*c**7. Factor p(j).
2*(j - 1)*(j + 1)**4
Let p(u) be the third derivative of 11*u**7/210 - 101*u**6/120 + 53*u**5/30 - 2*u**4/3 - 312*u**2. Factor p(x).
x*(x - 8)*(x - 1)*(11*x - 2)
Suppose 2*m - 6*m + 32 = 0. Let o = 11 - m. Suppose j**2 + 5 - 2 + o*j - 1 = 0. What is j?
-2, -1
Factor -7/10*k**3 + 2/5*k - 8/5 + 1/10*k**4 + 6/5*k**2.
(k - 4)*(k - 2)**2*(k + 1)/10
Let n = -2221 - -6665/3. Factor 2/9*i**4 + n*i**3 + 0*i + 4/9*i**2 + 0.
2*i**2*(i + 1)*(i + 2)/9
Let b be 8*4/(-8) + 64. Factor -34*i + 54*i - 22*i**2 + 8 - b*i.
-2*(i + 2)*(11*i - 2)
Let w(v) be the second derivative of 10/3*v**3 - 2/15*v**6 + v**4 - 1/5*v**5 + 4*v**2 + 0 - 9*v. Factor w(a).
-4*(a - 2)*(a + 1)**3
Let h = 97668/5 - 19532. Factor 16/5*t + h - 18*t**2.
-2*(5*t - 2)*(9*t + 2)/5
Let h(b) be the first derivative of -b**9/4536 + b**8/840 - b**6/135 + 13*b**3/3 + 22. Let w(m) be the third derivative of h(m). Determine f so that w(f) = 0.
-1, 0, 2
Let l(z) be the third derivative of z**8/84 + 4*z**7/105 - 2*z**5/15 - z**4/6 - z**2 - 3*z. Factor l(d).
4*d*(d - 1)*(d + 1)**3
Let 4*b**2 - 2*b**2 + 7*b**2 - 10*b**2 + 578 + 3*b**2 + 68*b = 0. What is b?
-17
Let g be ((-28)/10)/((-4)/10). Let l(n) = 2*n - 10. Let k be l(g). Factor 2*x**5 + 2*x**k - 5*x**5 + 6*x**3 + x**4.
-3*x**3*(x - 2)*(x + 1)
Let h(g) = 8*g - 100. Let z be h(13). Let o be (12 + -3)/(z/12*1). Determine k so that 27/2 + 13/6*k**4 + 1/6*k**5 + o*k**2 + 63/2*k + 11*k**3 = 0.
-3, -1
Let h = 1691 + -5071/3. Factor -h*c**2 + 4/3*c + 2.
-2*(c - 3)*(c + 1)/3
Let t(o) be the second derivative of o**5/50 - 7*o**4/30 + 11*o**3/15 - o**2 - 36*o. Factor t(l).
2*(l - 5)*(l - 1)**2/5
Let p be 3 + (0 - 1)*7. Let r(m) = 2*m**3 + 4*m**2 - 2*m. Let s(l) = 2*l**3 + 3*l**2 - 3*l - 1. Let h(d) = p*s(d) + 3*r(d). Find o, given that h(o) = 0.
-1, 2
Let c(k) = -k - 6. Suppose 0 = 3*p + 28 - 1. Let o be c(p). Factor 3/5*z**4 + 6/5*z**o - 6/5*z - 3/5*z**2 + 0.
3*z*(z - 1)*(z + 1)*(z + 2)/5
Suppose 16*w - 8*w - 24 = 0. Suppose -w*f - 5*g - 8 = 11, 4*g = f - 22. Solve -2/3*h**4 - 4/3 + 2/3*h**3 + f*h**2 - 2/3*h = 0.
-1, 1, 2
Suppose j - 3*s - 4 = -5, 0 = -4*s + 4. Suppose 28*t**j - 158 + 4*t**3 + 60*t + 89 + 105 = 0. What is t?
-3, -1
Let p = 13 + -15. Let t(c) = -4*c**2 - 14*c - 34. Let a(w) = -9*w**2 - 27*w - 69. Let q(m) = p*a(m) + 5*t(m). Factor q(k).
-2*(k + 4)**2
Let z = -1 - -3. Let a(x) = 3*x**2 - 14*x - 13. Let f be a(-1). Factor 4 + f*w**2 - 12*w + 4 + 2*w**2 - z*w**2.
4*(w - 2)*(w - 1)
Let v = -1/63 + 2837/126. Factor -5/2*k**4 + 25/2*k**3 + 0 - v*k - 15/2*k**2.
-5*k*(k - 3)**2*(k + 1)/2
Let i(p) be the second derivative of p**6/45 - 4*p**5/15 - 18*p + 2. Find m such that i(m) = 0.
0, 8
Let b(j) be the second derivative of -j**4/20 - 129*j**3/5 - 49923*j**2/10 - j - 196. Factor b(w).
-3*(w + 129)**2/5
Let f be (-6*1/6)/(-3). Let a(d) be the first derivative of 5 - d**2 - f*d**3 + 0*d. Suppose a(i) = 0. Calculate i.
-2, 0
Let u(r) be the first derivative of -11*r**6/180 + 4*r**5/15 - 5*r**4/12 + 2*r**3/9 - 3*r**2 + 1. Let y(f) be the second derivative of u(f). Factor y(z).
-2*(z - 1)**2*(11*z - 2)/3
Let b(p) = -2*p**2 + 18*p + 20. Suppose 12*q = 10 + 110. Let u be b(q). Find o such that u*o**4 + 0*o**2 + 0*o + 0 + 1/4*o**5 - 1/4*o**3 = 0.
-1, 0, 1
Let s(a) be the third derivative of 0*a + 2/105*a**7 + 1/15*a**6 + 0 + 0*a**4 - 8*a**2 + 0*a**3 + 1/15*a**5. Factor s(y).
4*y**2*(y + 1)**2
Factor 0*w - 9/2*w**2 + 0 + 39*w**3.
3*w**2*(26*w - 3)/2
Find i such that 20*i**2 - 13*i**3 + 4*i - 24*i + 0*i**4 - 3*i**4 + 2*i**4 - 52*i**2 = 0.
-10, -2, -1, 0
Suppose -3*j = -7 - 8. Let q(k) = k**3 - 5*k**2 + 3*k - 6. Let l be q(j). Factor 2 - 4*u**3 + 7*u - 3*u**3 + l*u**4 + u**2 + u**2 - 13*u**2.
(u - 1)**2*(u + 1)*(9*u + 2)
Let w be -2 + 48/27 + (-124)/(-585). Let v = w - -203/780. Factor 2*s + 5/4*s**2 + v*s**3 + 1.
(s + 1)*(s + 2)**2/4
Let l(d) be the second derivative of d**6/40 - 3*d**5/80 - 3*d**4/16 + d**3/8 + 3*d**2/4 + 60*d. Factor l(s).
3*(s - 2)*(s - 1)*(s + 1)**2/4
Suppose 5*o - 627 = -3*z, 0 = -z - 6*o + o + 219. Solve -2*n + 205*n**2 + 24*n + 121 - z*n**2 = 0.
-11
Suppose 16 = x + 7*x. Let b(z) be the second derivative of z**4/12 - z**3/2 - z. Let a(i) = 4*i**2 - 10*i - 1. Let j(t) = x*a(t) - 7*b(t). Factor j(n).
(n - 1)*(n + 2)
Let j = -1199673/235 - -5105. Let d = j + 1396/1645. Factor -3/7*b + 6/7*b**2 + 3/7*b**3 - d.
3*(b - 1)*(b + 1)*(b + 2)/7
Find o, given that -74*o**3 + 138*o**3 + 10*o**2 - 66*o**3 + 4*o**2 + 16*o = 0.
-1, 0, 8
Let c(y) = 63*y**5 - 48*y**4 + 33*y**3 - 33. Let i(d) = 4*d**5 - 3*d**4 + 2*d**3 - 2. Let q = -29 - 4. Let v(j) = q*i(j) + 2*c(j). Factor v(l).
-3*l**4*(2*l - 1)
Let z be (-1776)/(-216) - (-24)/(-3). Factor 2/9 + 2/9*b**3 - 2/9*b - z*b**2.
2*(b - 1)**2*(b + 1)/9
Suppose -t + 125 - 1 = 0. Let k be t/72 - -4*(-1)/18. Factor -3*r**3 + 3/2*r**2 + 0*r + k*r**4 + 0.
3*r**2*(r - 1)**2/2
Let k(m) = 2*m**2 + 9*m + 12. Let b(h) = h**2 + 5*h + 6. Let c(z) = -10*b(z) + 4*k(z). Factor c(g).
-2*(g + 1)*(g + 6)
Let g(j) be the third derivative of j**7/1260 - j**6/80 + j**5/24 + 25*j**4/144 - 102*j**2. Factor g(v).
v*(v - 5)**2*(v + 1)/6
Let n = 20 - 19. Factor 4*k**2 - 16*k + 9 + 2 + n.
4*(k - 3)*(k - 1)
Let d(v) = 7*v**2 - 101*v - 114. Let a(c) = 15*c**2 - 200*c - 230. Let m(r) = -2*a(r) + 5*d(r). Suppose m(s) = 0. What is s?
-1, 22
Let f(z) be the third derivative of z**8/3696 - z**7/1155 + z**6/1320 - 2*z**2 + 117. Factor f(n).
n**3*(n - 1)**2/11
Let j be 24/(-924)*(-1 + (-142)/6). Let a = j + 2/77. Factor -a*m**2 + 2/3 + 0*m.
-2*(m - 1)*(m + 1)/3
Let j(t) be the second derivative of 3*t**5/20 - 7*t**4/4 + 3*t**3 + 3*t - 44. Factor j(c).
3*c*(c - 6)*(c - 1)
Solve -72*g**2 - 32*g**4 + 93*g**3 - 3/2*g**5 + 1/2*g + 12 = 0.
-24, -1/3, 1
Let x(n) = 15*n**2 + 18*n + 6. Let m(b) = -b**3 - 44*b**2 - 53*b - 18. Let i be 4*3/6*-4. Let o be 3 + -1 - 8 - -3. Let y(z) = i*x(z) + o*m(z). Factor y(t).
3*(t + 1)**2*(t + 2)
Let s(r) be the first derivative of -r**6/6 - 3*r**5/4 - 5*r**4/12 + 5*r**3/2 + 5*r**2 - 14*r + 15. Let i(h) be the first derivative of s(h). Factor i(a).
-5*(a - 1)*(a + 1)**2*(a + 2)
Determine u so that -223/4*u**2 + u**4 + 5/4*u**3 + 36 + 130*u = 0.
-9, -1/4, 4
Let t(y) be the third derivative of -y**9/26880 - y**8/40320 + 2*y**5/15 - 24*y**2. Let m(k) be the third derivative of t(k). Factor m(h).
-h**2*(9*h + 2)/4
Let c(g) be the third derivative of g**7/420 - g**6/80 + g**4/12 + 50*g**2 + 4*g. Determine v, given that c(