3*r - 2. Let z(f) = -2*f**2 + 231*f - 12998. Let m(p) = -3*l(p) + 3*z(p). Factor m(j).
-3*(j - 114)**2
Let g(m) be the first derivative of -m**4/4 + 2*m**3 + m**2/2 - 3*m + 3. Let u be g(6). Factor 3*d**3 - 7*d**2 + u*d**2 + 10*d**2.
3*d**2*(d + 2)
Let q = -41 - -66. Determine z, given that -q*z**2 + 24*z - 48*z**5 + 45*z**3 + z**2 - 21*z + 24*z**4 = 0.
-1, 0, 1/4, 1
Let u(q) = -q**2 - 11*q - 10. Let o be u(-10). Let l = 749 + -749. Factor o - 2/11*v + 2/11*v**3 + l*v**2.
2*v*(v - 1)*(v + 1)/11
Let l be (-20)/15*(15/(-2) - -3). Let k be 1/l*8/4. Suppose 2/3 + k*b - 1/3*b**3 - 2/3*b**2 = 0. What is b?
-2, -1, 1
Let y(j) be the second derivative of 0 - 1/12*j**4 + 0*j**2 + 14*j + 1/6*j**3. Factor y(p).
-p*(p - 1)
Suppose -8 = -6*w - 8. Let j(g) be the first derivative of 2 + w*g**3 + 0*g + 1/33*g**6 - 4/55*g**5 + 0*g**2 + 1/22*g**4. Find r, given that j(r) = 0.
0, 1
Let h(u) be the second derivative of 6*u + 9/2*u**2 + 5/2*u**3 - 2 + 9/20*u**5 - 11/4*u**4. Determine m so that h(m) = 0.
-1/3, 1, 3
Suppose 0 = -h - m + 88, 3*h + 0*h - 5*m - 264 = 0. Let q be (-4)/6 - (h/(-12))/11. Solve -1/3*c + 1/6*c**2 + q = 0.
0, 2
Let g(m) = 25*m**5 - 42*m**4 + 5*m**3 + 10*m**2 - 2*m. Let r(s) = 300*s**5 - 505*s**4 + 60*s**3 + 120*s**2 - 25*s. Let j(k) = 25*g(k) - 2*r(k). Factor j(d).
5*d**2*(d - 1)**2*(5*d + 2)
Let -k**3 - 36 - 40*k**2 - 4*k**5 - 3*k**3 + 16*k + 16*k**4 + 68 = 0. What is k?
-1, 2
Find h such that 220*h + 21*h**3 - 16*h**4 + 228*h + 304*h - 416 + 127*h**3 - 504*h**2 = 0.
2, 13/4
Let o(j) be the first derivative of j**6/72 - j**5/3 + 10*j**4/3 + 23*j**3/3 + 1. Let c(l) be the third derivative of o(l). Factor c(q).
5*(q - 4)**2
Let x(p) be the first derivative of -5*p**4/18 + 16*p**3/27 - p**2/3 + 62. Find h such that x(h) = 0.
0, 3/5, 1
Let i = 27 + -23. Find w such that 35 + 5*w - 31 - i*w**3 - w - 4*w**2 = 0.
-1, 1
Let o(p) be the third derivative of -p**7/735 + 13*p**6/210 + 9*p**5/70 - 3*p**2 - 13*p. Solve o(w) = 0.
-1, 0, 27
Let l(c) be the third derivative of -c**7/105 + c**6/30 - c**5/30 - 152*c**2. Suppose l(f) = 0. Calculate f.
0, 1
Let c be ((-117)/182)/(96/(-56)). Factor c + 1/8*m**2 - 1/2*m.
(m - 3)*(m - 1)/8
Let a = -7180 + 7180. Factor 2/15*c**3 + 2/15*c**2 + a*c + 0.
2*c**2*(c + 1)/15
Determine g so that -16/7*g**2 + 4/7*g**3 - 2/7*g - 2/7*g**5 + 8/7*g**4 + 8/7 = 0.
-1, 1, 4
Suppose 0 = 4*n - 3*u - 39, 285*n - 283*n + 2*u = -12. Factor 1/2*r - 5/2 - 1/2*r**n + 5/2*r**2.
-(r - 5)*(r - 1)*(r + 1)/2
Factor 24*z**2 - 336*z + 370*z + 2*z**3 + 16 - 4*z**2.
2*(z + 1)**2*(z + 8)
Let j(p) be the first derivative of -p**6/9 - 2*p**5/5 + p**4/2 + 22*p**3/9 + 2*p**2 + 75. Suppose j(t) = 0. Calculate t.
-3, -1, 0, 2
Let s be 9/((-135)/(-80))*45/(-12). Let l be s/30 - 222/(-63). What is m in l*m**4 - 206/7*m**3 + 8*m - 36/7*m**2 + 150/7*m**5 + 16/7 = 0?
-1, -2/5, 2/3, 1
Let u(h) = h**3 + 25*h**2 + 12. Let t be u(-25). Factor -3*a + 17*a - 6*a - 4*a**2 + t.
-4*(a - 3)*(a + 1)
Suppose 0 = -4*w - 3*f + 726, -5*w + 2*f = f - 898. Determine p, given that 938*p**3 - 25 + 605*p**4 + 185*p**2 - w*p + 52*p**3 + 45 = 0.
-1, 2/11
Let r be (-27)/15*(-40)/6. Find b such that 2*b - 4 + 4*b**2 - 14*b**3 + 0*b**2 + r*b**3 = 0.
-1, 1, 2
Let y(c) = 40*c**3 + 81*c**2 + 50*c + 5. Let k(m) = 360*m**3 + 730*m**2 + 450*m + 45. Let a(l) = 4*k(l) - 35*y(l). Suppose a(v) = 0. Calculate v.
-1, -1/8
Let v(n) be the second derivative of -n**6/135 - n**5/18 - 4*n**4/27 - 4*n**3/27 + 63*n. Factor v(l).
-2*l*(l + 1)*(l + 2)**2/9
Factor -56*k - 75*k**3 - 4*k**4 - 198*k**2 + 133*k + k**4 - 77*k.
-3*k**2*(k + 3)*(k + 22)
Let c(t) be the third derivative of -t**8/13440 + t**7/5040 + t**6/360 - t**5/60 + 13*t**4/24 + 3*t**2. Let i(n) be the second derivative of c(n). Factor i(l).
-(l - 2)*(l - 1)*(l + 2)/2
Let v = -3 - -6. Let u(i) = v - 4 - 2 - 6*i + 6*i**2 + 6*i**3 + 0. Let r(a) = 13*a**3 + 11*a**2 - 12*a - 5. Let g(t) = 3*r(t) - 5*u(t). Factor g(n).
3*n*(n + 1)*(3*n - 2)
Let n(g) = 15*g**4 - 30*g**3 - 45*g**2 - 20*g. Let k(w) be the first derivative of w**5/5 - w**3/3 - w**2/2 - 11. Let j(o) = -20*k(o) + n(o). Factor j(u).
-5*u**2*(u + 1)*(u + 5)
Let -2*s**2 - 12/5*s + 8/5*s**3 + 0 = 0. Calculate s.
-3/4, 0, 2
Let b(p) be the third derivative of 7*p**5/150 + 5*p**4/6 + 7*p**3/15 - 410*p**2 - 2*p. Factor b(r).
2*(r + 7)*(7*r + 1)/5
Let x be (204/27)/(-17) + 1664/504. Suppose x*l + 8/7 + 4/7*l**3 + 16/7*l**2 = 0. What is l?
-2, -1
Let v(z) be the first derivative of z**4 + 8*z**3 + 10*z**2 + 827. Factor v(a).
4*a*(a + 1)*(a + 5)
Suppose -2*g + 15 = 27*k - 24*k, -5*k = -25. Let j(l) be the third derivative of 11*l**2 + 5/48*l**4 + 1/48*l**5 + 0 - 5/8*l**3 + g*l. Factor j(w).
5*(w - 1)*(w + 3)/4
Suppose 4*z = 16, 4*b + b + 3*z + 18 = 0. Let f be ((-9)/b)/((-1)/(-2)). Factor -51*q**3 - 87*q**2 - 12*q + 21*q**5 + 12 + 15*q**4 + 7*q**3 - 26*q**3 + q**f.
3*(q - 2)*(q + 1)**3*(7*q - 2)
Determine t so that 32*t + 308 - 20*t - 300 - 4*t**3 = 0.
-1, 2
Let x(l) be the second derivative of l**6/45 + l**5/15 - 11*l**4/18 - 4*l**3/3 + 12*l**2 + 40*l. Suppose x(d) = 0. What is d?
-3, 2
Let i(z) be the third derivative of -1/3*z**3 + 0*z - 1/12*z**4 + 0 + 1/15*z**5 + 20*z**2. Find v such that i(v) = 0.
-1/2, 1
Factor 24/5*l**2 + 0*l + 0 + 92/5*l**3 - 16/5*l**4.
-4*l**2*(l - 6)*(4*l + 1)/5
Determine n, given that 153/2*n**2 - 3/2*n**3 - 219*n + 144 = 0.
1, 2, 48
Suppose 0 = 5*k + 25, -j - k + 2 = -3. Let o be ((-4)/5)/((-4)/j). Factor 7*t**2 - 2*t + o*t**3 - 8*t**2 + 5*t**2 - 4.
2*(t - 1)*(t + 1)*(t + 2)
Let a = -9 - -14. Solve a*i - 6*i - 1 + 3 - 4 + i**2 = 0 for i.
-1, 2
Suppose 0 = 42*p - 14*p - 364. Let g(s) be the first derivative of 26/15*s**3 + 8/5*s + 2/25*s**5 - 3/5*s**4 - 12/5*s**2 - p. Find t such that g(t) = 0.
1, 2
Let d be (-35098)/(-24480) - 8/(-68). Let r = d - -1/240. Factor -2/9 - 4/9*s - 8/9*s**3 + r*s**2.
-2*(s - 1)**2*(4*s + 1)/9
Let j(x) be the second derivative of 0*x**3 + 1/60*x**5 + 1/12*x**4 + 0 + 7*x - 2/3*x**2. Factor j(c).
(c - 1)*(c + 2)**2/3
Let m(c) be the first derivative of 2*c**3/51 - 3*c**2/17 + 237. Factor m(x).
2*x*(x - 3)/17
Let q(y) be the first derivative of -1/15*y**5 + 2/15*y**6 - 3*y**2 - 2/3*y**4 + 2/3*y**3 + 0*y - 8. Let j(u) be the second derivative of q(u). Solve j(g) = 0.
-1, 1/4, 1
Let h(m) be the third derivative of m**8/896 + m**7/280 - 11*m**6/320 - m**5/4 - 11*m**4/16 - m**3 + 78*m**2 - m. Determine i, given that h(i) = 0.
-2, -1, 4
Let -44*n**2 - 9*n - 18*n**3 - 72 + 26*n**3 + 4*n**4 - 123*n + 12*n**3 = 0. What is n?
-6, -1, 3
Let u(q) = 2*q + 2. Let s be u(1). Let v = 193 - 190. Determine a so that -1/2*a**2 - 1/2*a**s + 3/2*a + 1 - 3/2*a**v = 0.
-2, -1, 1
Let q(d) be the third derivative of -13*d**2 - 1/90*d**6 + 1/18*d**4 + 0 + 0*d + 1/90*d**5 - 1/9*d**3. Factor q(w).
-2*(w - 1)*(w + 1)*(2*w - 1)/3
Suppose -2/7*w**2 - 1058/7 - 92/7*w = 0. Calculate w.
-23
Solve 1/3*w - 1/3*w**2 + 4 = 0 for w.
-3, 4
Let c(g) be the first derivative of 22 + 0*g - 4/3*g**3 - 10*g**2. Factor c(m).
-4*m*(m + 5)
Let o(c) be the first derivative of c**4/20 + 8*c**3/15 + 17*c**2/10 + 2*c - 283. Factor o(b).
(b + 1)*(b + 2)*(b + 5)/5
Let x be (-4)/10 + 6/(-480)*-52. Let i(d) be the first derivative of 0*d - 2 - x*d**2 - 1/18*d**3. Factor i(l).
-l*(l + 3)/6
Let l(c) be the second derivative of 1/30*c**6 - 1/60*c**5 + 0*c**2 + 5*c + 0*c**4 + 0 + 0*c**3 - 1/63*c**7. Let l(o) = 0. Calculate o.
0, 1/2, 1
Let d be 64/48 - 1/(-10)*-26. Let j = d + 283/105. Determine o so that 0*o + 0*o**2 + 0 - j*o**5 + 4/7*o**3 + 6/7*o**4 = 0.
-2/5, 0, 1
Solve 6*n + 172*n**4 - 115*n**4 + 48*n**3 + 16*n**2 - 133*n**4 - 6*n - 48*n**5 = 0.
-2, -1/4, 0, 2/3
Let r be 3/2*2 + -2. Suppose -2*v - r = 4*o - 5*o, 5*v - 5 = 0. Let -6*y**2 + 2*y**4 - o*y**5 + 0*y**5 - 6*y**3 + 7*y**4 + 0*y**5 - 3 + 9*y = 0. What is y?
-1, 1
Factor 402*o**3 + 14*o**2 + 26*o**2 + 110 - 155*o - 397*o**3.
5*(o - 2)*(o - 1)*(o + 11)
Suppose -n = 2*n. Suppose -5*s + 40 = 5*h, s + 4*h - 8 = 5*s. Find r, given that -r - 12 - s*r**2 + 13*r + n*r = 0.
2
Let u(o) be the second derivative of -o**6/40 + 129*o**5/80 - 41*o**4/16 - 43*o**3/8 + 63*o**2/4 - 481*o. Let u(j) = 0. What is j?
-1, 1, 42
Let m(s) = -s. Let o be m(-9). Factor -q**2 - 5*q**2 + 4*q - q**2 - o*q**2.
-4*q*(4*q - 1)
Let w(q) = -2*q**3 + q + 1. Let m(p) = 