0
Let o(x) = x**4 - 4*x**3 - x**2 - 2*x + 2. Let d(f) = 3*f**4 - 8*f**3 - f**2 - 5*f + 5. Let r(b) = -4*d(b) + 10*o(b). Factor r(s).
-2*s**2*(s + 1)*(s + 3)
Let s(h) = 7*h**2 - 75*h + 1284. Let l(g) = -5*g**2 + 74*g - 1288. Let t(z) = 3*l(z) + 2*s(z). Factor t(d).
-(d - 36)**2
Determine i so that 129*i - 2*i**2 - 97*i + 48 + 4*i**2 + 2*i**2 = 0.
-6, -2
Let r(x) = 2*x + 198 - 199 - 3*x + x**3 + x**2. Let y = 3 + -2. Let z(i) = 10*i**3 + 10*i**2 - 10*i - 10. Let n(q) = y*z(q) - 12*r(q). Solve n(d) = 0.
-1, 1
Suppose -5*v - 28 + 91 = 2*l, 4*l = 4*v - 28. Factor -v*s**4 - 17*s**3 - 2*s + s**4 + 22*s**3 - 3*s + 10*s**2.
-5*s*(s - 1)*(s + 1)*(2*s - 1)
Let g(c) = -10*c**4 + 13*c**3 + 19*c**2 - 13*c - 16. Let b(m) = -7*m**4 + 9*m**3 + 13*m**2 - 9*m - 11. Let w(p) = 7*b(p) - 5*g(p). Factor w(s).
(s - 3)*(s - 1)*(s + 1)**2
Suppose -1/3*v**2 - 16/3 - 17/3*v = 0. What is v?
-16, -1
Let m(j) = -6*j**3 + 12*j**2 - 4*j + 4. Let f(g) = 11*g**3 - 24*g**2 + 7*g - 7. Let b(u) = -4*f(u) - 7*m(u). Find x such that b(x) = 0.
0, 6
Factor 26/7*x**2 + 46/7*x + 22/7 + 2/7*x**3.
2*(x + 1)**2*(x + 11)/7
Let b(x) be the second derivative of x**7/280 + x**6/30 + 3*x**5/40 - 8*x**3/3 + 2*x. Let h(j) be the second derivative of b(j). Factor h(t).
3*t*(t + 1)*(t + 3)
Determine t, given that 0*t - 8/19*t**4 + 0 + 2/19*t**5 - 12/19*t**2 - 22/19*t**3 = 0.
-1, 0, 6
Suppose -6*j + 3*j = 0. Suppose -4*b - 5 + 37 = j. Factor b + r - 2 + 3*r**2 - 6*r - 4*r.
3*(r - 2)*(r - 1)
Let i(h) be the first derivative of -h**5/200 + h**4/24 + 2*h**3/15 + 21*h**2/2 + 26. Let b(l) be the second derivative of i(l). Factor b(c).
-(c - 4)*(3*c + 2)/10
Let s = 828 + -826. Suppose 0 - s*d**2 + 4/3*d + 2/3*d**3 = 0. What is d?
0, 1, 2
Factor 0*x**3 + 4/7*x**4 + 2/7*x**5 - 2/7*x + 0 - 4/7*x**2.
2*x*(x - 1)*(x + 1)**3/7
Let j(u) be the second derivative of u**3 + 5/6*u**4 + 3/10*u**5 + 0 + 8*u + 1/30*u**6 + 3*u**2. Let m(v) be the first derivative of j(v). Factor m(g).
2*(g + 1)*(g + 3)*(2*g + 1)
Let g be (-2 - 32/(-4))/1. Let o be 0*((-10)/g + 2). Find d such that -3/2*d + 3/2*d**2 + o = 0.
0, 1
Factor 26 + 1/4*p**2 - 105/4*p.
(p - 104)*(p - 1)/4
Suppose 0 = w + 4*d - 20, -2*w + 12 = -3*d + 4*d. Suppose w*b - 8 = -0. Find h such that 12*h - 15*h - 1 + 7 + 0 - 3*h**b = 0.
-2, 1
Let l(c) be the first derivative of 1/18*c**6 + 0*c**3 + 0*c + 2/15*c**5 - 3 + 0*c**2 + 1/12*c**4. Let l(z) = 0. Calculate z.
-1, 0
Let 63 - 36*n - 107*n**2 + 99 + 109*n**2 = 0. Calculate n.
9
Let l(h) be the third derivative of -h**5/90 - h**4/18 - h**3/9 + 85*h**2. Solve l(a) = 0 for a.
-1
Factor 21 - 30 + 25 + 3*s + s - 16*s**2 - 4*s**3.
-4*(s - 1)*(s + 1)*(s + 4)
Let m(h) = -h - 1. Let j(b) = 5*b - 6. Let r(t) = -j(t) - 6*m(t). Let g be r(-11). Suppose 2*o**2 + g + 2 - 8*o + 5 = 0. What is o?
2
Suppose -3 - 21 = -8*d, 3*d = 2*r + 5. Suppose 1/3*f + 0 + 1/3*f**r = 0. Calculate f.
-1, 0
Let i(v) = -5*v**2 + 8*v - 10. Let j(m) = -27*m**2 + 40*m - 49. Let t(o) = 11*i(o) - 2*j(o). Let z be t(2). Factor z*r**3 - 2/3*r**4 + 0 + 0*r + 2/3*r**2.
-2*r**2*(r - 1)*(r + 1)/3
Let z(x) = -x**4 + x**2 + x + 1. Let m(j) = -24*j**4 + 2*j**3 + 24*j**2 + 20*j + 22. Let g(h) = 2*m(h) - 44*z(h). Determine i so that g(i) = 0.
-1, 0, 1
Let d(l) be the first derivative of -l**4/72 - l**3/9 - l**2/4 - 24*l - 2. Let n(q) be the first derivative of d(q). Factor n(v).
-(v + 1)*(v + 3)/6
Factor 0 - 3/2*f**4 + 0*f + 15*f**3 - 36*f**2.
-3*f**2*(f - 6)*(f - 4)/2
Let a = -15 + 17. Suppose -s**3 + 6*s - a*s - 5*s**3 + 2*s**3 = 0. Calculate s.
-1, 0, 1
Let w = 0 - -2. Let r be -10*4/(-32) + 3 + -4. Determine t, given that 0*t + r - 1/4*t**w = 0.
-1, 1
Let v = -334 + 336. Let m(n) be the first derivative of -3/4*n**4 + 2 + 0*n**v + 0*n - 2*n**3. Find z, given that m(z) = 0.
-2, 0
Let w = 164714/21 + -22295/3. Let x = 413 - w. Let -4/7*i**5 + 0*i**4 + x*i**3 + 0*i**2 - 4/7*i + 0 = 0. Calculate i.
-1, 0, 1
Let h be (0 + 0)*6*(-15)/360. What is t in 4/5*t**3 - 12/5*t**2 + h*t + 0 = 0?
0, 3
Let x(u) be the third derivative of -u**9/105840 + u**8/35280 + u**5/5 - 12*u**2. Let n(w) be the third derivative of x(w). Factor n(t).
-4*t**2*(t - 1)/7
Let v = -650/3 + 217. Let c(f) be the second derivative of 1/18*f**4 + 0 + 1/10*f**5 - 4*f - v*f**3 + 1/3*f**2 - 2/45*f**6. Solve c(x) = 0.
-1, 1/2, 1
Suppose -5*t + 4*u = -t - 36, -5*u - 35 = 0. Suppose 32/7 + 2/7*c**3 - 24/7*c + 0*c**t = 0. What is c?
-4, 2
Let a = -46 - -49. Let n = -132 - -134. Find f, given that 0*f - 1/2*f**a - 1/2*f**n + 0 = 0.
-1, 0
Let i = -37725 + 113203/3. Determine m, given that -10*m - 68/3*m**2 + i*m**3 + 6*m**4 + 50/3 + 2/3*m**5 = 0.
-5, -1, 1
Find j such that 12*j + 126 + 2/7*j**2 = 0.
-21
Let w = -105929/11 + 9630. Factor g + 0 + w*g**2.
g*(g + 11)/11
Let n(a) be the first derivative of -a**5/240 + a**4/48 + 18*a**2 - 44. Let i(g) be the second derivative of n(g). Solve i(b) = 0 for b.
0, 2
Let r(g) be the third derivative of -g**5/5 + 21*g**4/8 + 9*g**3 + g**2 - 41*g. Factor r(b).
-3*(b - 6)*(4*b + 3)
Let s(n) = -11*n**2 - n + 16. Let r(v) be the first derivative of 4*v**3 + v**2 - 17*v - 13. Let j(l) = -6*r(l) - 7*s(l). Factor j(w).
5*(w - 2)*(w + 1)
Let m(k) be the first derivative of 5*k**3 - 24*k**2 - 48*k - 433. Factor m(q).
3*(q - 4)*(5*q + 4)
Let d(y) = 6*y**5 - 4*y**3 + 2. Let r(g) = 32*g**5 - g**4 - 21*g**3 + g**2 + 11. Let c(x) = -11*d(x) + 2*r(x). Suppose c(o) = 0. Calculate o.
-1, 0, 1
Let w(n) = 70*n**4 + 1275*n**3 + 360*n**2 - 5*n - 5. Let o(z) = 105*z**4 + 1913*z**3 + 540*z**2 - 7*z - 7. Let l(u) = -5*o(u) + 7*w(u). Factor l(j).
-5*j**2*(j + 18)*(7*j + 2)
Let z be ((-10)/(-45))/(3/27). Let c(x) be the first derivative of -5/6*x**6 + 15/4*x**4 + 0*x + 3 + 10/3*x**3 + 0*x**5 + 0*x**z. Factor c(v).
-5*v**2*(v - 2)*(v + 1)**2
Let q be (332/8 + -1)/(-33). Let k = -8/11 - q. Factor k*r + 1/4*r**2 + 0.
r*(r + 2)/4
Let r(p) = p**2 + 1. Let q = 15 - 13. Let d(n) = -3*n**2 - 5*n + 2. Let i(b) = q*r(b) - d(b). Factor i(x).
5*x*(x + 1)
Let q(h) = -h - 20. Let z be q(-6). Let o = z - -17. Factor f - 5*f**2 - 9*f**4 + 16*f**o - 3*f - 5 + 5.
-f*(f - 1)**2*(9*f + 2)
Let c(p) be the third derivative of p**6/270 - 8*p**5/135 + 7*p**4/54 + 343*p**2. Solve c(n) = 0 for n.
0, 1, 7
Let l(r) = -3*r**2 + 26*r + 169. Let i(q) be the second derivative of 7*q**4/12 - 26*q**3/3 - 169*q**2 + 44*q. Let m(o) = -4*i(o) - 9*l(o). Factor m(x).
-(x + 13)**2
Let r(d) = -d + 4. Let w be r(-5). Let y = -5 + w. Suppose 5*j**y + 4*j + 9*j**5 - j**4 - 5*j**5 - 8*j**2 - 8*j**3 + 4 = 0. Calculate j.
-1, 1
Let s(g) = 25*g**2 + 206*g + 205. Let q be s(-1). Factor q*h + 8/7 + 126*h**2.
2*(21*h + 2)**2/7
Let u(f) = -2 - 4 + 3*f**2 - 4*f - 6*f**2 + 4*f**2. Let k be u(6). Factor -3*y**2 - 9*y + 2*y**2 - 2*y**2 - k.
-3*(y + 1)*(y + 2)
Let j(z) be the first derivative of -1/12*z**4 + 0*z + 0*z**2 + 2*z**3 - 5 - 7/60*z**5 - 49/720*z**6. Let v(l) be the third derivative of j(l). Factor v(a).
-(7*a + 2)**2/2
Factor -67 + 35*t**3 + 45*t**2 + 123*t + 188 - 159*t**2 + 113 - 38*t**3.
-3*(t - 2)*(t + 1)*(t + 39)
Let l(v) = -v**4 + v**3 - v**2. Suppose i = -3*u, 3*i + 1 = -u - 7. Let z(x) = 3*x**4 - 2*x**3 - 2*x**2 + x + 1. Let o(p) = u*z(p) + l(p). Factor o(y).
(y - 1)**2*(y + 1)*(2*y + 1)
Suppose -4*b + 5*g + 47 = -21, 20 = -5*g. Suppose 12*s**2 - 11*s**2 + 2*s**2 - b = 0. What is s?
-2, 2
Let u(p) be the third derivative of p**6/660 - p**5/55 + p**4/44 + 10*p**3/33 + p**2 + 9*p. Factor u(q).
2*(q - 5)*(q - 2)*(q + 1)/11
Let j(g) be the third derivative of -g**9/22680 - g**8/1680 - g**7/315 - g**6/135 + 7*g**4/24 + 16*g**2. Let w(b) be the second derivative of j(b). Factor w(l).
-2*l*(l + 2)**3/3
Let o(y) be the second derivative of -6241*y**4/24 - 395*y**3/6 - 25*y**2/4 + 2*y - 289. Factor o(z).
-(79*z + 5)**2/2
Let f = -1816 - -1816. Determine p so that 0*p**2 - 2/7*p**5 + 0*p**4 - 2/7*p + 4/7*p**3 + f = 0.
-1, 0, 1
Let u(z) be the first derivative of 2*z**3/9 + 5*z**2/9 + 4*z/9 + 73. Determine l, given that u(l) = 0.
-1, -2/3
Let s(j) be the first derivative of -j**4/6 + 2*j**3/3 + 3*j**2 - 27*j + 12. Let m(o) be the first derivative of s(o). Find l such that m(l) = 0.
-1, 3
What is f in 5*f**3 - 130*f - 3*f**3 + 4*f**4 - 12*f**2 + 2*f**3 + 126*f + 8 = 0?
-2, -1, 1
Let n(y) be the third derivative of y**6/60 - 207*y**5/100 - 113