 4. Let t be s(3). Let q be (36/15)/((-1)/t). Let -q*m - 3 - 3*m**2 + 3*m + 3*m = 0. What is m?
-1
Let c be -1*(-4 + 5/(-5)). Find k such that -29*k**3 + 0*k**c + 14*k**3 + 14*k**3 + k**5 = 0.
-1, 0, 1
Let j be -3*(0 + (3 - 4)). Determine g so that -4 - 2*g**2 + j + 8*g - 5 + 0*g = 0.
1, 3
Suppose 3*x = -2*k - 33 + 49, 0 = 4*x + 2*k - 18. Find b such that -3/7*b + 9/7*b**x - 6/7*b**3 + 0 = 0.
0, 1/2, 1
Let g be 5/(-25)*(-1)/7. Let v = 103/70 + g. Factor v*b**2 + 1/2 + 1/2*b**3 + 3/2*b.
(b + 1)**3/2
What is f in -2/15*f**4 - 2/15*f**5 + 0 + 46/15*f**3 - 2/5*f**2 - 12*f = 0?
-5, -2, 0, 3
Let y(i) be the third derivative of -i**9/68040 + i**8/30240 + i**4/6 - 7*i**2. Let x(w) be the second derivative of y(w). Factor x(h).
-2*h**3*(h - 1)/9
Factor -78/7*i**2 - 36/7*i**3 + 2/7*i**4 - 40/7*i + 0.
2*i*(i - 20)*(i + 1)**2/7
Suppose -3*x + z + 54 = 5, -95 = -5*x - z. Let n be x/6 + 9/(-6). Let 0*s**3 + 3/4 + 2*s - 1/4*s**4 + n*s**2 = 0. What is s?
-1, 3
Let i(d) be the first derivative of -d**3/6 - 107*d**2/2 - 213*d/2 + 533. Factor i(s).
-(s + 1)*(s + 213)/2
Let y(d) be the third derivative of -3*d**8/56 - 36*d**7/7 - 35*d**6/4 + 109*d**5/9 + 415*d**4/9 + 472*d**3/9 - 304*d**2 + 2. Determine t, given that y(t) = 0.
-59, -2/3, 1
Let u(w) = 52*w**3 - 489*w**2 + 1005*w - 554. Let b(n) = -17*n**3 + 164*n**2 - 335*n + 184. Let z(x) = 7*b(x) + 2*u(x). Solve z(t) = 0 for t.
1, 4/3, 9
Suppose 2*x = -184 + 186, 6 = 5*t - 4*x. Solve -8/3*s + 17/3*s**3 + 4/3 - s**t + s**5 - 13/3*s**4 = 0.
-2/3, 1, 2
Suppose -2*t - 4 = -2. Let k be 1 - (5 + t)/4. Solve 0 + 2/5*x**4 - 2/5*x**2 + 2/5*x**5 + k*x - 2/5*x**3 = 0.
-1, 0, 1
Let t(j) be the third derivative of 0*j**3 - 4*j**2 + 0 - 1/200*j**6 - 1/20*j**4 + 3/100*j**5 + 0*j. Factor t(v).
-3*v*(v - 2)*(v - 1)/5
Suppose -6*j + 10 = -2. Suppose 21*o + 2*o**j - 4*o**2 - 6 - 13*o = 0. Calculate o.
1, 3
Let v(l) be the first derivative of -l**3 + 54*l**2 - 105*l - 80. Factor v(a).
-3*(a - 35)*(a - 1)
Let d be (-17 + (-2 - -2))*5/(-55). Let n = 293/33 - d. Solve -16*p**2 - 10*p - n*p**3 - 4/3 = 0.
-1, -2/11
Let o(u) be the third derivative of -u**10/10080 + u**9/5040 + u**8/2240 - u**7/840 - u**4/12 + 15*u**2. Let a(l) be the second derivative of o(l). Factor a(t).
-3*t**2*(t - 1)**2*(t + 1)
Let v(o) = -5*o**2 + 0*o + 4*o**2 + 7 - o - 3. Let u(d) = 2. Let b(h) = -2*u(h) + 2*v(h). Factor b(n).
-2*(n - 1)*(n + 2)
Let u(i) be the second derivative of i**4/60 + 2*i**3 + 90*i**2 - 4*i + 3. Factor u(n).
(n + 30)**2/5
Let n(f) be the third derivative of f**7/42 - 7*f**6/24 + 7*f**5/12 + 25*f**4/8 + 90*f**2. Factor n(i).
5*i*(i - 5)*(i - 3)*(i + 1)
Let s(i) be the third derivative of i**7/1260 - i**6/108 + i**5/60 + i**4/4 + 2*i**3 + 14*i**2. Let w(q) be the first derivative of s(q). Solve w(o) = 0.
-1, 3
Factor -4*v**5 - 553*v - 64*v**4 - 347*v - 868*v**2 - 376*v**3 - 92*v**2.
-4*v*(v + 3)**2*(v + 5)**2
Let b = 653/4466 - 2/203. Let q(m) be the second derivative of 0 + 9/11*m**3 - 27/11*m**2 - b*m**4 + 1/110*m**5 - 4*m. Solve q(s) = 0.
3
Factor -2/5*m**3 - 8/5*m - 2*m**2 + 0.
-2*m*(m + 1)*(m + 4)/5
Let q(v) be the third derivative of 0*v - 1/1470*v**7 + 0*v**3 + 11*v**2 + 0 + 1/140*v**5 + 0*v**6 - 1/84*v**4. What is p in q(p) = 0?
-2, 0, 1
Let w = -476/3 - -159. Factor 1/2*h**2 - w*h + 0.
h*(3*h - 2)/6
Let q(b) be the third derivative of b**6/60 - 3*b**5/10 + 2*b**4/3 + 51*b**2. Factor q(j).
2*j*(j - 8)*(j - 1)
Let f(i) be the first derivative of i**3/3 - 7*i**2/2 - 123. Factor f(a).
a*(a - 7)
Find q, given that 4/3*q**3 - 14/3*q + 1/3*q**4 - q**2 - 8/3 = 0.
-4, -1, 2
Let a(j) = j**3 + 8*j**2 - 21*j - 8. Let b be a(-10). Find d such that -20*d - 8*d**b + 8*d - 2*d**3 + 22*d**2 = 0.
0, 1, 6
Let g be 12/(-14) - (9 + 803/(-77)). Factor 0 + g*a + 2/7*a**2.
2*a*(a + 2)/7
Let j = 2782/11 + -8335/33. Factor -j*u**2 + 1/2*u - 1/6.
-(u - 1)*(2*u - 1)/6
Suppose 0 = 96*i - 60*i - 180. Factor -1/2*p**i + 0*p**4 + 1 - 3/2*p - p**2 + 2*p**3.
-(p - 1)**3*(p + 1)*(p + 2)/2
Let -6174 + 766 + 546*q + 649*q - 987*q - 2*q**2 = 0. What is q?
52
Let y(r) be the third derivative of r**8/2184 + r**7/455 - r**6/60 - 47*r**5/390 - 4*r**4/13 - 16*r**3/39 - 328*r**2. Solve y(i) = 0.
-4, -1, 4
Let a be ((-2)/20)/(54/(-4050)). Solve -3/4*n**3 + 0*n**2 + 0*n - a*n**4 + 0 - 75/4*n**5 = 0.
-1/5, 0
Let k(m) be the third derivative of 0 - 1/210*m**5 + 0*m + 1/21*m**4 - 4/21*m**3 + 11*m**2. Factor k(j).
-2*(j - 2)**2/7
Let u(r) = 114*r**3 + 4*r**2 - r - 1. Let z be u(1). Let p = -116 + z. Let 0 + 0*f**4 + 0*f + p*f**2 - 4/3*f**3 + 4/3*f**5 = 0. What is f?
-1, 0, 1
Suppose -f - 28 = 3*v - 36, f = 3*v - 4. Factor -2/3*i**3 + 0*i**f + 0 + 0*i.
-2*i**3/3
Let r(m) be the third derivative of m**5/300 - 2*m**4/5 + 96*m**3/5 - 15*m**2 + 5. Find w such that r(w) = 0.
24
Let v(x) = -20*x**3 - 250*x**2 - 160*x + 475. Let s(h) = -3*h**3 - 36*h**2 - 23*h + 68. Let r(n) = -15*s(n) + 2*v(n). Find d, given that r(d) = 0.
-7, -2, 1
Solve -2*f - 1 - 3/4*f**2 = 0.
-2, -2/3
Let a(d) be the first derivative of -d**3/12 + d**2/2 + 21*d/4 - 256. Factor a(p).
-(p - 7)*(p + 3)/4
Find f, given that 3*f**5 - 1055 + 5415*f**3 + 2*f**5 + 13800*f - 315*f**4 - 2394*f**2 - 8396*f**2 - 3445 - 3615*f**2 = 0.
1, 30
Factor 236/11*m**3 + 0*m + 0 + 6962/11*m**2 + 2/11*m**4.
2*m**2*(m + 59)**2/11
Suppose -4*z + 1 = -7. Let u(y) be the third derivative of 0*y**3 + 0*y + 5*y**z + 0 - 1/120*y**5 + 1/48*y**4. Factor u(m).
-m*(m - 1)/2
Let w(r) be the third derivative of r**5/30 + 7*r**4/2 + 147*r**3 - 11*r**2 - 2. Solve w(m) = 0 for m.
-21
Suppose 10 - 175*l - 3*l**2 + 16 - 2*l**2 + 175*l**3 - 21 = 0. Calculate l.
-1, 1/35, 1
Let k(n) be the first derivative of -2*n**4/7 - 46*n**3/21 - 30*n**2/7 + 18*n/7 - 74. Factor k(t).
-2*(t + 3)**2*(4*t - 1)/7
Let l(j) be the second derivative of -5*j**4/84 - 2*j**3/21 - 44*j + 1. Factor l(y).
-y*(5*y + 4)/7
Let l(n) = 5*n**2 + 224*n - 9786. Let x(g) = 3*g**2 + 108*g - 4892. Let u(s) = 4*l(s) - 7*x(s). Factor u(z).
-(z - 70)**2
Let t be (-38)/(-36) + (44/(-33))/(2 + 4). Factor -5/6*q**3 + 5/6 + 5/6*q - t*q**2.
-5*(q - 1)*(q + 1)**2/6
Let g(b) be the first derivative of -b**6/180 - b**5/30 + 4*b**3/9 + 4*b**2/3 + 21*b + 5. Let m(t) be the first derivative of g(t). Factor m(v).
-(v - 2)*(v + 2)**3/6
Let x be -24 + 78 + -1*3. Let z be x/(-34)*12/(-99). Determine f, given that 6/11*f - 4/11 - z*f**3 + 0*f**2 = 0.
-2, 1
Suppose 2*g = -5*s + 9, 9 = 2*s + g - 2*g. Find r such that 13*r**3 + 16*r - 4 - 24*r**2 - 4*r**4 + s*r**3 + 0*r**3 = 0.
1
What is x in -10/11*x**5 - 18/11*x**4 - 4/11*x + 14/11*x**3 + 0 + 18/11*x**2 = 0?
-2, -1, 0, 1/5, 1
Let q = -483 - -483. Let y(n) be the first derivative of 0*n + 0*n**2 + 0*n**3 + q*n**4 - 1/24*n**6 - 1/10*n**5 + 3. Factor y(j).
-j**4*(j + 2)/4
Let i(h) be the second derivative of h**7/42 + 4*h**6/15 - 43*h**5/20 + 29*h**4/6 - 4*h**3 + 46*h - 4. Let i(z) = 0. What is z?
-12, 0, 1, 2
Let o(d) = -2*d**2 - 10*d - 64. Let q(z) = z**2 + 10*z + 66. Let x(m) = -3*o(m) - 4*q(m). Determine b, given that x(b) = 0.
-4, 9
Let k(o) be the second derivative of 0*o**3 - 2/21*o**7 - 2/5*o**6 - 1/3*o**4 + 0*o**2 + 0 - 3/5*o**5 + 7*o. What is n in k(n) = 0?
-1, 0
Find n such that 2/5*n**3 + 0 + 8*n**2 + 0*n = 0.
-20, 0
Let k(z) be the first derivative of 0*z**3 + 1/2*z**4 + 8 + 1/5*z**5 - z - z**2. Find l, given that k(l) = 0.
-1, 1
Suppose 3*z + 5*k + 21 = 5, 0 = z - 3*k - 18. Solve 2*b**2 - 3*b**3 - z*b**2 + 4*b**3 - 2*b**3 + b**5 + b**4 = 0.
-1, 0, 1
Let u(w) be the first derivative of w**3/7 - 57*w**2/14 - 60*w/7 - 40. Suppose u(h) = 0. What is h?
-1, 20
Let u = -980 - -988. Let l(s) be the second derivative of 0 + 0*s**2 - 1/25*s**5 + 0*s**3 - 1/75*s**6 + 0*s**4 - u*s. Factor l(i).
-2*i**3*(i + 2)/5
Let n(w) be the third derivative of 27*w**2 + 0*w + 1/20*w**6 + 0*w**5 + 0*w**3 + 0*w**4 + 0 + 5/112*w**8 + 1/10*w**7. Determine o, given that n(o) = 0.
-1, -2/5, 0
Let m be (-34)/170*984/(-1). Let w = m + -196. Find y, given that 0 - 24/5*y**3 - w*y**4 - 36/5*y**2 + 0*y = 0.
-3, 0
Let k be 6 + -1 + (-231)/30*84/(-294). Factor -12*q + k + 28/5*q**2 - 4/5*q**3.
-4*(q - 3)**2*(q - 1)/5
Let p = 274/3 - 91. Let s(n) be the second derivative of -1/5*n**5 + 0*n**4 + 3*n + p*n**6 + 0*n**3 + 0*n**2 + 0. Factor s(z).
2*z**3*(5*z - 2)
Let z(s) be the third derivati