ctor 44 + 2*m**2 + 6 - 14*m + 8*m - 6*m - 8*m.
2*(m - 5)**2
Let b(n) be the first derivative of -4/17*n**2 - 2/51*n**3 - 8/17*n + 9. Factor b(w).
-2*(w + 2)**2/17
Suppose -121*f + 200 + 42 = 0. Let p = 1 + -1. Determine i so that p + 3/5*i**3 + 0*i - 1/5*i**f - 3/5*i**5 + 1/5*i**4 = 0.
-1, 0, 1/3, 1
Suppose -d - 7 = -2*r - 4*d, 0 = 2*r + d - 5. Factor -6*m**r + 11 + 13 + 4*m + 2*m**4 - 24.
2*m*(m - 1)**2*(m + 2)
Let v(o) be the third derivative of -o**6/150 - 2*o**5/25 - o**4/6 + 8*o**3/5 + 108*o**2. Let v(w) = 0. What is w?
-4, -3, 1
Let q(c) be the second derivative of c**7/84 - c**6/30 + c**4/12 - c**3/12 + c + 11. Suppose q(t) = 0. What is t?
-1, 0, 1
Let p(g) be the first derivative of g**5/5 - 24*g - 29. Let c(j) be the first derivative of p(j). Factor c(w).
4*w**3
Suppose 19 = 4*z + 7. Suppose -2*i = -z*c, -i - 2*i + 13 = 2*c. Determine u, given that 3*u**2 + 6 + 5*u + 4*u**2 - 3*u**i + 6*u**3 - 5 = 0.
-1, -1/3
Let t(x) = 14*x**2 + 23*x + 17. Let m(r) be the third derivative of -r**5/12 - r**4/3 - r**3 + 4*r**2. Let f(v) = -17*m(v) - 6*t(v). What is o in f(o) = 0?
0, 2
Let x be -10 - (2 - 3 - 1). Let m = x - -10. Suppose -3*l**4 + 47*l**3 - 56*l**3 + 6*l + 3*l**5 - l**m + 4*l**2 = 0. Calculate l.
-1, 0, 1, 2
Let t(k) be the third derivative of k**7/1890 - k**6/135 + k**5/30 + 3*k**4/8 + 6*k**2. Let o(c) be the second derivative of t(c). Let o(a) = 0. What is a?
1, 3
Let x be 2*((-76)/(-8) + 2) - -2. Suppose 25*g - 20*g - x = 0. Find y such that 0*y**3 + 0*y + 0 + 2/13*y**4 + 0*y**2 + 2/13*y**g = 0.
-1, 0
Suppose 16*h = 4*h - 672. Let o be 1/(-2*7/h). Factor 16/3*y - 4/3*y**3 + 32/9 + 2/9*y**o + 2/9*y**2.
2*(y - 4)**2*(y + 1)**2/9
Suppose -115*j + 128*j - 52 = 0. Let s(g) be the third derivative of 1/120*g**j + 0*g + 0 - 1/100*g**5 - 1/600*g**6 - 3*g**2 + 1/10*g**3. Factor s(l).
-(l - 1)*(l + 1)*(l + 3)/5
Let a = -15 - -17. Find r, given that 0 + r**a - 6*r - 3 - 2*r**2 - 2 = 0.
-5, -1
Determine k so that -9 - 3/2*k**2 - 21/2*k = 0.
-6, -1
Let o be ((-12)/(-15))/2 + 1390/25. Let s be -3 - ((-1)/(-7) + (-260)/o). Find n such that 0 - 9/4*n**3 - s*n**4 + 3/2*n + 9/4*n**2 = 0.
-2, -1/2, 0, 1
Suppose -3*u + 2 = -2*w - 2, u + 12 = 4*w. Let d be 3/12 - (-60)/16. Let w*n**3 + 2*n**4 - 2*n + d*n**2 - 6*n**2 - 2*n**3 = 0. Calculate n.
-1, 0, 1
Let a be (7/21)/((-3)/(-36)). Let c(s) be the third derivative of 3/80*s**5 - 3/8*s**3 + a*s**2 + 0 - 1/32*s**4 + 0*s + 1/160*s**6. Let c(y) = 0. What is y?
-3, -1, 1
Let r be (1/(12/8 - 9))/(2/(-20)). Factor 0 + 0*s**3 + 10/3*s**5 + 0*s + 0*s**2 + r*s**4.
2*s**4*(5*s + 2)/3
Let f be (-38)/(-14) + (-1630)/2282. Determine l so that -8/3 - 4/3*l + 4/3*l**f = 0.
-1, 2
Factor -564*l + 152*l**3 - 84*l**2 - 173*l**3 + 118 - 729*l**2 + 110.
-3*(l + 1)*(l + 38)*(7*l - 2)
Let y be ((24/28)/(-2))/(90/(-1320)). What is h in -y*h - 8/7 + 16/7*h**3 + 64/7*h**4 - 8*h**2 + 4*h**5 = 0?
-1, -2/7, 1
Let q(g) = 10*g**3 + 100*g - 55. Let u(h) = -h**3 - 11*h + 6. Suppose 5*v - 2*a = -0*v + 32, -2*a = 3*v - 16. Let m(w) = v*q(w) + 55*u(w). Factor m(d).
5*d*(d - 1)*(d + 1)
Let p(w) = -2*w**2 + 31*w - 82. Let z be p(12). Let u(n) be the first derivative of 0*n + 1/7*n**3 - 3/28*n**4 + 3/7*n**z - 3. Determine a so that u(a) = 0.
-1, 0, 2
Let f(w) be the third derivative of w**7/42 - w**6/12 - w**5/4 + 86*w**2. Determine g, given that f(g) = 0.
-1, 0, 3
Let -6 + 15*n + 13*n - 23*n + n**2 = 0. What is n?
-6, 1
Let r(l) be the first derivative of -l**3 - 162*l**2 - 8748*l - 46. Factor r(v).
-3*(v + 54)**2
Let o(x) be the second derivative of -x**6/120 + 13*x**5/80 + x**4/48 - 13*x**3/24 + 20*x. Determine f, given that o(f) = 0.
-1, 0, 1, 13
Let p(u) be the second derivative of u**3 - 27*u**2/2 + 23*u. Let l be p(5). Find o, given that -2/5*o**2 + 1/5*o**l + 2/5 - 1/5*o = 0.
-1, 1, 2
Let t(u) be the second derivative of u**6/6 + 2*u**5 + 5*u**4/2 - 20*u**3/3 - 35*u**2/2 - 27*u. Solve t(i) = 0.
-7, -1, 1
Let h(d) be the third derivative of -d**6/60 + d**4/4 - 2*d**3/3 - 2*d**2 - 52*d. Factor h(z).
-2*(z - 1)**2*(z + 2)
Let m(x) = -30*x**4 + 6*x**3 + 6*x**2 - 2. Let u(l) = -120*l**4 + 25*l**3 + 27*l**2 - 9. Let s(y) = -9*m(y) + 2*u(y). Factor s(p).
2*p**3*(15*p - 2)
Let w(s) be the first derivative of 2*s**5/35 + 149*s**4/14 + 700*s**3 + 117500*s**2/7 - 250000*s/7 - 263. Determine t, given that w(t) = 0.
-50, 1
Let v(w) be the third derivative of 0*w**4 - 1/30*w**3 + 1/150*w**5 + 0*w + 0 - 1/1050*w**7 + 0*w**6 + 3*w**2. Factor v(m).
-(m - 1)**2*(m + 1)**2/5
Factor 4*t**3 + 81 + 115*t**2 - t**3 - 190*t + 355*t - 28*t**2.
3*(t + 1)**2*(t + 27)
Suppose 246 = -5*k + 2*v, 2*k = -3*v - 111 + 5. Let f = k + 50. Suppose 1/4*m**2 + 1/4*m + f = 0. What is m?
-1, 0
Let p(w) = -4*w**2 + 49*w + 100. Let z be p(14). Factor 2/3*x**z + 4*x + 0.
2*x*(x + 6)/3
Let x(f) be the second derivative of -f**6/60 - 11*f**5/40 - 3*f**4/8 + 11*f**3/12 + 5*f**2/2 - f + 17. Factor x(l).
-(l - 1)*(l + 1)**2*(l + 10)/2
Let h be 0 - (3 + 1/1) - 5. Let a be (9/(-75))/(h/45). Factor -a*p**2 - 6/5*p - 3/5.
-3*(p + 1)**2/5
Factor -4/7*p**2 - 1936/7 - 176/7*p.
-4*(p + 22)**2/7
Factor 192*s**2 - 48*s - 800 + 40*s**3 + 3*s**4 + 6*s**4 - 112*s - 5*s**4 - 2*s**4.
2*(s - 2)*(s + 2)*(s + 10)**2
Let v be (1 - -2) + (16 - 14). Let a(o) be the second derivative of -1/10*o**5 + 1/6*o**4 - v*o + 1/3*o**3 + 0 - o**2. Determine i, given that a(i) = 0.
-1, 1
Factor 33/2 - 3/2*x**2 - 15*x.
-3*(x - 1)*(x + 11)/2
Let 0*c + 0 + 18/13*c**2 + 8/13*c**3 - 10/13*c**4 = 0. What is c?
-1, 0, 9/5
Let n(d) be the third derivative of d**7/16380 - d**6/468 + 5*d**5/156 - 19*d**4/24 + 23*d**2. Let r(h) be the second derivative of n(h). What is b in r(b) = 0?
5
Let r(f) be the second derivative of f**6/30 + 21*f**5/50 + 4*f**4/15 + 2*f - 1. Factor r(c).
c**2*(c + 8)*(5*c + 2)/5
Let s(d) = 15*d - 5. Let g be s(7). Suppose -20 + g = 5*x. Factor 20*q**3 - 8 - 8 + x - 17*q**2 - 4*q**4 + 4*q.
-q*(q - 4)*(2*q - 1)**2
Let o = 33 + -32. Suppose 3*k = 10 - o. Let -4/7*i**2 + 2*i**k + 0*i + 0 = 0. Calculate i.
0, 2/7
Let d(c) = -30*c**2 - 2069*c + 72. Let g be d(-69). Find h, given that 1/6*h**g - 1/2*h - 1/3 + 0*h**2 = 0.
-1, 2
Let y = 223/455 + -4/65. Factor 0 + 3/7*u**3 + 3/7*u**4 - y*u - 3/7*u**2.
3*u*(u - 1)*(u + 1)**2/7
Suppose -9/7*i + 3/7*i**3 + 6/7*i**2 + 0 = 0. Calculate i.
-3, 0, 1
Suppose 3*n = -3*t + 12, 46*n - 45*n = -2*t + 6. Solve z**n - 1/3*z**3 - z + 1/3 = 0 for z.
1
Let x be 4/(-22)*(-15)/(600/44). Factor 0 + 1/5*o + 0*o**2 - x*o**3.
-o*(o - 1)*(o + 1)/5
Factor 21/4*s**3 + 9/4*s**4 + s + 4*s**2 + 0.
s*(s + 1)*(3*s + 2)**2/4
Let f(x) = 10*x**4 - 30*x**3 + 10*x**2 + 100*x - 95. Let d(q) = -24 - q**3 + q**4 - 25 + q**2 - q + 48. Let i(s) = -5*d(s) + f(s). Factor i(k).
5*(k - 3)**2*(k - 1)*(k + 2)
What is p in -5*p**2 + 5/2*p**3 + 5 - 5/2*p = 0?
-1, 1, 2
Let i(l) be the third derivative of 0 + 0*l + 0*l**4 - 8*l**2 + 1/480*l**5 - 1/48*l**3. Factor i(h).
(h - 1)*(h + 1)/8
Let q(b) = -b**2 - 21*b - 20. Let v be q(-20). Let m be (v/2*-1)/((-14)/(-7)). Determine s so that 2/3*s**3 + 0*s + 0*s**2 + m - 1/3*s**4 = 0.
0, 2
Let a(r) = r**3 + 8*r**2 - 11*r + 7. Let n be a(-9). Let m = n - 12. Find z such that m*z - 13*z + 15*z**4 + 3*z**2 + 6*z**5 + 12*z**3 = 0.
-1, -1/2, 0
Factor 16*s - 51*s**2 + 21*s + 48 + 18*s - 8*s - 45*s**3 - 2*s + 3*s**4.
3*(s - 16)*(s - 1)*(s + 1)**2
Let c(l) be the second derivative of l**5/120 - l**4/72 - 2*l**3/9 + l**2 + l + 17. Factor c(g).
(g - 2)**2*(g + 3)/6
Let n be 1/(-9) + ((-10948)/(-153))/23. Factor 9/4*b**4 + 0*b + 0 - n*b**2 - 3/4*b**5 + 0*b**3.
-3*b**2*(b - 2)**2*(b + 1)/4
Let o be 4/(4 + -7 - -2). Let r = o - -9. What is k in 2/11*k**3 + 2/11*k**4 + 0*k - 2/11*k**2 - 2/11*k**r + 0 = 0?
-1, 0, 1
Let u = -123/83 - -701/249. Solve 2*s**3 + 0 + 8/3*s - u*s**4 + 16/3*s**2 - 2/3*s**5 = 0 for s.
-2, -1, 0, 2
Suppose -3*u + 2*t = -193, u + 47 = 3*t + 116. Determine i so that -4*i**2 + 37 + 48*i - 118 - u = 0.
6
Let j(n) = 2*n - 12. Let w be j(9). Let p(b) = 8*b**2 - 2*b + 12. Let m(z) = -9*z**2 + z - 13. Let y(l) = w*m(l) + 7*p(l). Determine q, given that y(q) = 0.
1, 3
Factor 5*o**2 - 5/2*o**3 - 20 + 10*o.
-5*(o - 2)**2*(o + 2)/2
Factor -138*b**2 - 27/2*b**3 - 72 - 354*b.
-3*(b + 4)*(b + 6)*(9*b + 2)/2
Let d be (1906/1 - (1 + -1))/17. Let h = d - 112. Factor 2/17*b**3 