)/(-8) - (-30)/8. Suppose -2*d + g*q = 16, -q + 12 = -4*d + 3*q. Let o**3 + 10 - 7 - 30 - 9*o**d - 27*o - 2*o**3 = 0. Calculate o.
-3
Let k be 0/(-25 - 18) + 2*(-2)/(-6). Factor 8/3 + k*n**3 - 8/3*n - 2/3*n**2.
2*(n - 2)*(n - 1)*(n + 2)/3
Let h(q) = q**2 - 9*q + 3. Let a be h(9). Let r = 162 + -485/3. Factor -1/3*d**a - d + r + d**2.
-(d - 1)**3/3
Factor -16/11*l + 16/11*l**3 - 6/11 + 6/11*l**2.
2*(l - 1)*(l + 1)*(8*l + 3)/11
Let b(r) be the first derivative of r**6/300 + r**5/150 - r**4/60 - r**3/15 + 10*r**2 + 8. Let w(l) be the second derivative of b(l). What is d in w(d) = 0?
-1, 1
Let b(h) be the first derivative of 55/8*h**4 - 1/2*h**2 - 25/4*h**3 + 1/20*h**5 - 12 - 3/2*h**6 + h. What is k in b(k) = 0?
-2, -2/9, 1/4, 1
Let t(r) be the second derivative of r**5/100 + 3*r**4/20 - r**3/3 + 81*r. Determine l, given that t(l) = 0.
-10, 0, 1
Suppose 4*w = -4*n + 48 + 16, 4*n + 2*w - 54 = 0. Suppose 5*l - n = -1. Factor k**3 + k**3 - 2*k**2 - 2*k**2 + 0*k**l.
2*k**2*(k - 2)
Let v = 299/21 + -14. Let r(a) be the second derivative of 0 - 16/21*a**3 - 1/35*a**5 - 8/7*a**2 - v*a**4 - 7*a. Factor r(j).
-4*(j + 1)*(j + 2)**2/7
Let n = -24525/7 + 3504. Solve 6/7*i + n*i**2 + 0 = 0 for i.
-2, 0
Let p(m) = -m**3 - m**2 - m - 4. Let o(v) = -104*v**2 + 604*v - 1104. Let r(l) = o(l) - 4*p(l). Find y such that r(y) = 0.
4, 17
Let n(b) = 9*b**2 - 21*b - 4. Let h(p) = 4*p**2 - 10*p - 2. Let f be (1 - 27)*(-4)/8. Let g(a) = f*h(a) - 6*n(a). Factor g(t).
-2*(t + 1)**2
Let p(l) be the first derivative of 25*l**4 + 360*l**3 + 408*l**2 + 160*l - 52. Factor p(k).
4*(k + 10)*(5*k + 2)**2
Let q(n) be the third derivative of -n**6/360 + 2*n**5/45 + 11*n**4/18 + 8*n**3/3 + 15*n**2 - 9*n. Factor q(i).
-(i - 12)*(i + 2)**2/3
Let l(u) be the second derivative of -4*u**7/21 + 38*u**6/15 - 313*u**5/40 + 241*u**4/24 - 71*u**3/12 + 7*u**2/4 - 3*u - 11. Let l(p) = 0. Calculate p.
1/4, 1, 7
Factor -2 - 1804*i**2 + 1321*i**2 - 2326*i**2 - 2 + 212*i.
-(53*i - 2)**2
Let y(m) be the second derivative of m**5/20 - m**4/4 + m**2 + 11*m. Let k be y(3). Factor 4/9*b + 2/9 + 2/9*b**k.
2*(b + 1)**2/9
Let c(l) = -21*l**4 - 33*l**3 + 165*l**2 - 210*l + 99. Let a(f) = -2*f**4 + f + 1. Let m(j) = 9*a(j) - c(j). Determine t so that m(t) = 0.
-15, 1, 2
Let i(h) = -h**2 - 4*h. Let a be i(-3). Let j(g) = -41*g - 23. Let y be j(-1). Factor 15*z**2 + z**2 + 8*z**5 - 12*z + 1 - y*z**4 + z**3 + 1 + 3*z**a.
2*(z - 1)**3*(z + 1)*(4*z - 1)
Let c = -6707/2 + 3355. Let 1/2*i**3 + 2*i**2 + 0 + c*i = 0. What is i?
-3, -1, 0
Let k be ((-24)/27)/(114/(-57))*42. Factor k*r - 392/3 - 2/3*r**2.
-2*(r - 14)**2/3
Let i(c) be the second derivative of c**7/14 - 3*c**6/10 - 3*c**5/10 + 3*c**4/2 + c**3/2 - 9*c**2/2 + 68*c. Suppose i(m) = 0. What is m?
-1, 1, 3
Let h(t) be the second derivative of 0 - 1/12*t**4 + 0*t**2 + 1/12*t**3 - 4*t + 1/40*t**5. Factor h(b).
b*(b - 1)**2/2
Solve 5*d**3 + 146 - 550*d**2 - 73*d + 540*d**2 + 34 - 2*d = 0 for d.
-4, 3
Let d = 83/78 - -7/26. Let b(s) be the first derivative of -7/4*s**2 - 3/8*s**4 + s + d*s**3 + 5. Factor b(g).
-(g - 1)**2*(3*g - 2)/2
Let w = -40083/5 - -8017. Solve 6/5*l - 4/5*l**3 + w - 6/5*l**4 + 4/5*l**2 - 2/5*l**5 = 0 for l.
-1, 1
Determine g, given that 4*g**2 + 110 - 341 + g + 7*g + 91 = 0.
-7, 5
Let t be ((-348)/(-630) + (-8)/28)*(-5)/(-2). Suppose 2/3*b**4 - t*b**2 + 0*b**3 + 0*b + 0 = 0. Calculate b.
-1, 0, 1
Let k be 0 + 5 - 4/(-12)*-3. Let m be (240/(-54) + k)*6/(-2). Factor -2/3*t**2 + m + 2/3*t.
-2*(t - 2)*(t + 1)/3
Let v(u) be the second derivative of -7/15*u**4 + 0 + 8/5*u**2 + 13/50*u**5 - 9*u - 4/15*u**3 - 1/25*u**6. Let v(g) = 0. Calculate g.
-2/3, 1, 2
Let c be (12/9)/((-14)/21). Let d be (-444)/108 + 7 + c. Factor -8/9*t**3 - d*t - 4/3*t**2 - 2/9 - 2/9*t**4.
-2*(t + 1)**4/9
Let f(l) = 6*l + 17. Let z(m) = 5*m + 16. Let j(x) = -4*f(x) + 5*z(x). Let s be j(-9). Suppose 0*k**3 - k**s + 2 + 4*k - k = 0. Calculate k.
-1, 2
Let -5*w - 14*w - 55*w**2 - 9*w - 11*w + 9*w = 0. Calculate w.
-6/11, 0
Let k(y) = -y**3 + 41*y**2 - 77*y - 34. Let j be k(39). Factor -4/7*p**3 - 4/7*p**j + 0*p**2 + 0*p + 8/7*p**4 + 0.
-4*p**3*(p - 1)**2/7
Let n(w) be the first derivative of -w**9/1512 + w**7/420 - 3*w**3 + 11. Let x(t) be the third derivative of n(t). Factor x(l).
-2*l**3*(l - 1)*(l + 1)
Let g(u) be the third derivative of -u**6/60 + 14*u**5/15 + 2*u**2 - 84*u. Suppose g(w) = 0. What is w?
0, 28
Let j(h) = -h + 5. Suppose 2*q - 3*t = 5*q - 18, 4*t + 16 = 4*q. Let i be j(q). Factor 2/9*n + i - 2/9*n**2.
-2*n*(n - 1)/9
Let o = 295/70127 - -312836353/216762557. Let n = o - -2/281. Factor -n*t - 2/11*t**3 + 10/11*t**2 + 8/11.
-2*(t - 2)**2*(t - 1)/11
Let l(y) = -7*y - 18 + 7 - 2*y**2 - 1. Let r(h) = -3*h**2 - 13*h - 24. Let v(c) = 10*l(c) - 6*r(c). Factor v(s).
-2*(s - 6)*(s + 2)
Let a be 185/11 + (-26)/(-143). Let c = a + -11. What is x in 3*x**2 + c*x**4 - 9*x**2 - 3*x**3 - x**5 + 4*x**5 = 0?
-2, -1, 0, 1
Let y(l) = 2*l**3 + 1 - 3*l**3 - 25*l + 25*l. Let b(o) = -28*o**3 + 16*o**2 - 20*o + 32. Let m(c) = b(c) - 24*y(c). Find x, given that m(x) = 0.
1, 2
Let b(v) be the third derivative of -v**8/336 - 2*v**7/105 - v**6/40 + v**5/15 + v**4/6 - 2*v**2 + 10. Factor b(p).
-p*(p - 1)*(p + 1)*(p + 2)**2
Let c(j) = -j**2 + j - 2. Let m(p) = p**2 + 38*p - 31. Let k(i) = 4*c(i) + m(i). Factor k(y).
-3*(y - 13)*(y - 1)
Let c(d) be the first derivative of -d**3/3 + 97*d**2 - 9409*d - 195. Factor c(b).
-(b - 97)**2
Suppose 288*p + 20 = 293*p. Let q(o) be the second derivative of -5*o + 0 - 5/6*o**3 - 3/2*o**2 - 1/12*o**p + 1/20*o**5. Factor q(l).
(l - 3)*(l + 1)**2
Let b(y) be the first derivative of 1000*y**2 + 20*y**4 - 2500*y - 200*y**3 + 9 - 4/5*y**5. Suppose b(z) = 0. What is z?
5
Let a(g) be the first derivative of -g**9/504 - g**8/112 - 3*g**7/280 + g**6/120 + g**5/40 + 2*g**3 + 42. Let c(u) be the third derivative of a(u). Factor c(r).
-3*r*(r + 1)**3*(2*r - 1)
Let g(y) = 3*y**3 + 140*y**2 + 10*y - 10. Let d(q) = -2*q**3 - 69*q**2 - 6*q + 6. Let f(v) = -5*d(v) - 3*g(v). Determine s, given that f(s) = 0.
0, 75
Let h(f) be the second derivative of -f**5/10 - 3*f**4/2 + 4*f**3 + 20*f**2 + 215*f. Factor h(x).
-2*(x - 2)*(x + 1)*(x + 10)
Let i = -66 + 73. Factor -10*l - 14 - i + 13 - 2*l**2.
-2*(l + 1)*(l + 4)
Let s(p) be the first derivative of 2*p**6/3 - 8*p**5 - 23*p**4 - 16*p**3 - 283. Factor s(m).
4*m**2*(m - 12)*(m + 1)**2
Let 26/7*r**3 + 6/7*r**4 - 9/7*r**5 + 0*r**2 + 2/7 - 9/7*r = 0. Calculate r.
-1, 1/3, 2
Let s(u) be the second derivative of u**4/6 - u**3/3 - 30*u**2 - 252*u. Factor s(g).
2*(g - 6)*(g + 5)
Let y(c) = 13*c - 151. Let p be y(12). Let x(j) be the first derivative of -j**4 + 0*j + 0*j**p - 7 + 0*j**2 + 2/3*j**6 + 0*j**3. Find b such that x(b) = 0.
-1, 0, 1
Let i(l) be the second derivative of 9/14*l**3 + 0 + 3/140*l**5 + 0*l**2 - 10*l - 3/14*l**4. Factor i(j).
3*j*(j - 3)**2/7
Let y(h) be the third derivative of h**7/280 - 7*h**6/120 + 11*h**5/40 - 5*h**4/8 - 4*h**3/3 + 8*h**2. Let o(r) be the first derivative of y(r). Factor o(n).
3*(n - 5)*(n - 1)**2
Solve 2/5*k**2 + 3/10*k + 0 + 1/10*k**3 = 0 for k.
-3, -1, 0
Suppose l = -17 + 35. Solve -l*t**2 - 48 + 28*t + 4*t**3 - 10*t**2 + 36*t = 0 for t.
2, 3
Let k be (-2)/4 - 126/(-36). Let 2*y**4 + 5*y**5 + 5*y**k + 7*y**4 + y**4 = 0. Calculate y.
-1, 0
Let o(q) be the first derivative of -q**6/3 - 4*q**5/5 + 3*q**4/2 + 217. Factor o(m).
-2*m**3*(m - 1)*(m + 3)
Let z(o) be the second derivative of -1/150*o**5 + o**2 - 1/225*o**6 + 1/180*o**4 + 0*o**3 - 3*o + 0. Let b(l) be the first derivative of z(l). Factor b(i).
-2*i*(i + 1)*(4*i - 1)/15
Suppose -u - 4*d = 17, 2*u + 3*d = -3*u. Suppose -2*z = -u - 3. Factor -5*i**3 + 0*i**2 + 4*i**2 - 4 + 9*i**z - 4*i.
4*(i - 1)*(i + 1)**2
Suppose 14*k = 16*k. Let a(g) be the first derivative of k*g - 5 + 1/2*g**2 - 1/3*g**3. Find l such that a(l) = 0.
0, 1
Let j(f) be the first derivative of -6/7*f + 3/28*f**4 - 10 - 3/14*f**2 + 2/7*f**3. Factor j(b).
3*(b - 1)*(b + 1)*(b + 2)/7
Factor 0 - 5*n**4 + 10*n**3 + 20*n**2 + 0*n - 5/2*n**5.
-5*n**2*(n - 2)*(n + 2)**2/2
Let w = -1534 + 1538. Let u(p) be the third derivative of 1/70*p**5 + 0*p + 0*p**w - 1/490*p**7 + 0 - 6*p**2 + 0*p**6 - 1/14*p**3. Factor u(h).
-3*(h - 1)**2*(h + 1)**2/7
Let n(z) be the third derivative of z**