2/3 - 184*s - 32. Factor o(c).
4*(c - 69)*(c - 1)*(3*c - 2)/3
Let k(u) = 2*u**2 + 7*u + 6. Let g be k(-3). Find w such that w**3 + 6*w**2 + 3*w - g*w**3 - w**3 + 6*w**3 = 0.
-1, 0
Let l be (-1 + 1)*4*(-3)/(-12). Factor -5*j**2 + l*j**2 + 2*j**2 + 8 + j**2.
-2*(j - 2)*(j + 2)
Let f(n) be the second derivative of -n**5/100 - 29*n**4/20 + 59*n**3/10 - 89*n**2/10 + 810*n. Factor f(z).
-(z - 1)**2*(z + 89)/5
Factor 2/7*l**4 + 0 - 80/7*l - 30/7*l**3 + 108/7*l**2.
2*l*(l - 10)*(l - 4)*(l - 1)/7
Suppose -t + 12 = 2*j + 3*j, 3*t - 4*j = -2. Let x(b) = b**3 + 2. Let s be x(0). Factor -2*w**s + 9*w - w - t*w**2.
-4*w*(w - 2)
Let m(d) be the second derivative of -19*d + 0 - 4/7*d**2 + 1/42*d**4 + 0*d**3. Factor m(k).
2*(k - 2)*(k + 2)/7
Suppose -25 = 6*r - 43. What is b in 15*b**2 + b**r - 6*b - 24*b + 5*b**4 - 20 + 19*b**3 + 10*b = 0?
-2, -1, 1
Let g be (-1 + 0)/((-15)/(-245)) - -2. Let w = -13 - g. Suppose 0*y + 2/3*y**2 - 2/3*y**4 - 4/3*y**5 + w*y**3 + 0 = 0. Calculate y.
-1, -1/2, 0, 1
Let j(k) = k - 9. Let d be j(13). Suppose -3*s + d*l = 2, s = -5*l + 3*l + 6. Factor -2/9*c - 4/9*c**s + 4/9 + 2/9*c**3.
2*(c - 2)*(c - 1)*(c + 1)/9
Suppose k - o = 4, 5*k - o + 3*o = -15. Let n(g) = 12*g**2 - 4*g + 12. Let m(u) = -u**2 - 1. Suppose 0 = -3*r - 24 - 6. Let a(s) = k*n(s) + r*m(s). Factor a(c).
-2*(c - 1)**2
Let g(t) be the second derivative of t**6/120 - t**5/40 + t**3/12 - t**2/8 + 29*t - 1. Solve g(w) = 0 for w.
-1, 1
Let z(q) = -2*q**2 - 2*q. Let u be z(-1). Suppose -3*p - 5 = 2*i, 0 = -0*i + 4*i + 4*p + 4. Factor 0*a**i - 3*a**3 + u + 0*a - 9*a**4 - 15/4*a**5.
-3*a**3*(a + 2)*(5*a + 2)/4
Suppose 12*w - 3*w = -w. Let x(c) be the first derivative of -12*c + w*c**2 - 1 - 9/4*c**4 + 7*c**3. Factor x(z).
-3*(z - 2)*(z - 1)*(3*z + 2)
Let k(r) = 84*r + 760. Let l be k(-9). Find h such that -8/3*h + 0 - 28/3*h**2 - 32/3*h**3 - l*h**4 = 0.
-1, -2/3, 0
Let m(f) be the third derivative of -5*f**8/1344 - 11*f**7/840 - 7*f**6/480 - f**5/240 + 400*f**2. Solve m(u) = 0.
-1, -1/5, 0
Let -83 - 97 + 26*l + 2*l**2 + 120 = 0. Calculate l.
-15, 2
Solve 139/4*w**2 - 3 + 233/4*w + 5*w**3 = 0 for w.
-4, -3, 1/20
Let g(h) = -2*h**4 - h**3 + 4*h + 5. Suppose -6*o + 18*o = 36. Let v(q) = 6 - 2*q**4 + 0 + 4*q - 2*q**3 - 2. Let k(t) = o*v(t) - 2*g(t). Factor k(f).
-2*(f - 1)*(f + 1)**3
Let i = 21 - -17. Let n = i + -34. Factor 7*r**2 - 10*r**4 + r**5 + n*r + 11*r**3 + 2*r**3 - 19*r**2 + 4*r**4.
r*(r - 2)**2*(r - 1)**2
Let j be 4/1 - (-130 + -9). Suppose 0 = j*s - 138*s. Factor 2/9*c - 4/9*c**4 + 0 + s*c**3 - 2/9*c**5 + 4/9*c**2.
-2*c*(c - 1)*(c + 1)**3/9
Let x be (-3)/(69/2) + (-72020)/(-95565). Factor -l**4 + 1/6*l**5 + x*l + 13/6*l**3 - 2*l**2 + 0.
l*(l - 2)**2*(l - 1)**2/6
Let a(p) = p**3 + 4*p**2 - 7*p - 6. Let d be a(-5). Determine f so that 15*f + 0 - f**2 + 1 + 3*f**5 + 2 + 30*f**3 + 15*f**d + 31*f**2 = 0.
-1
Let n(t) be the first derivative of 5/23*t**2 + 11 + 8/69*t**3 + 2/23*t. Factor n(b).
2*(b + 1)*(4*b + 1)/23
Suppose -18*l = 6*l - 96. Let r(m) be the first derivative of 3/2*m**2 + 1/2*m**6 + 2 + 0*m**3 - 3/2*m**l + 0*m**5 + 0*m. Factor r(t).
3*t*(t - 1)**2*(t + 1)**2
Let u(z) = -z**3 + 18*z**2 + 20*z - 14. Let r be u(19). Suppose r*s - 21 = -6. Factor 149 + s*c**2 - c**3 - 149.
-c**2*(c - 3)
Let t(b) be the third derivative of 0 + 8*b**2 + 1/360*b**5 + 0*b**3 + 0*b + 1/144*b**4. Factor t(c).
c*(c + 1)/6
Let o(d) = -25*d**4 - 40*d**3 - 15*d**2 - d - 1. Let u(l) = -l - 1. Let n(a) = o(a) - u(a). Factor n(i).
-5*i**2*(i + 1)*(5*i + 3)
Let s(i) be the second derivative of -i**9/6048 + i**8/1120 - i**7/560 + i**6/720 - 5*i**3/6 + 5*i. Let j(y) be the second derivative of s(y). Factor j(r).
-r**2*(r - 1)**3/2
Let h(g) be the first derivative of 20/3*g + 10 + 5/9*g**3 + 25/6*g**2. Factor h(i).
5*(i + 1)*(i + 4)/3
Let -36*p**3 - 28*p**4 + 629*p**2 + 615*p**2 + 4*p**5 + 32*p - 1216*p**2 = 0. What is p?
-1, 0, 1, 8
Factor 1/2 - 1/2*i**2 + 0*i.
-(i - 1)*(i + 1)/2
Let u be 102/(-14) + 42/147. Let v be (-92)/(-28) + 2/u. Factor -v*w**2 - 2*w**2 + 4*w**2 - 2*w**3 - w**4.
-w**2*(w + 1)**2
Let u = 215 - 212. Let h be u - (-65)/(-25) - (-6)/(-15). Factor 2/7*w + 0*w**3 + h + 4/7*w**2 - 2/7*w**5 - 4/7*w**4.
-2*w*(w - 1)*(w + 1)**3/7
Let k(b) = 48*b**2 - 31*b + 3. Suppose 5 = -0*w + w. Let p(d) = 2 - d**2 - 5*d - w*d + 17*d**2 - 1. Let v(o) = -6*k(o) + 21*p(o). Find x, given that v(x) = 0.
1/4
Let m be (121/(-363))/((-26)/36). Factor 8/13*k - 2/13*k**2 - m.
-2*(k - 3)*(k - 1)/13
Suppose 2*x + 2*k - 3*k + 38 = 0, -17 = x - k. Let n be (3 - x/(-6))*-24. Find v, given that -21*v + 0*v**2 + 6*v + 6 - 3*v**3 + n*v**2 = 0.
1, 2
Let k(u) be the second derivative of 0 + u - 1/48*u**4 + 1/3*u**3 - 2*u**2. Suppose k(w) = 0. What is w?
4
Solve -20/13 - 6/13*m + 2*m**2 = 0.
-10/13, 1
Factor 0 - 2/5*g**3 + 56/5*g - 24/5*g**2.
-2*g*(g - 2)*(g + 14)/5
What is u in 0 - 24 + 0*u**2 + 3*u**2 - 121*u - 6 - 7*u**2 = 0?
-30, -1/4
Let s(v) be the third derivative of -v**6/420 + v**5/42 - v**4/21 + 10*v**2 + 2. What is j in s(j) = 0?
0, 1, 4
Let p be 90/162*(1 - (-2 - 0)). Factor -4/3*u - 1/3*u**2 + p.
-(u - 1)*(u + 5)/3
Let v(p) be the first derivative of -2*p**3/21 + 9*p**2/7 - 4*p - 133. Factor v(s).
-2*(s - 7)*(s - 2)/7
Let b(l) = 3*l**2 + 27*l + 24. Let d(c) = -4*c**2 - 28*c - 24. Let y(w) = 6*b(w) + 4*d(w). Factor y(t).
2*(t + 1)*(t + 24)
Let i be 2*5/(-35) - 3399/(-308) - 7. Factor -i + 3*j**2 - 57/4*j.
3*(j - 5)*(4*j + 1)/4
Suppose 9*d - 68 + 5 = 0. Find h such that -8*h**2 + 6*h**2 + d*h**2 - 23 - 27 + 15*h = 0.
-5, 2
Let p(a) be the second derivative of a**7/147 + 2*a**6/21 + 5*a**5/14 + a - 13. Factor p(r).
2*r**3*(r + 5)**2/7
Let c(z) be the second derivative of 3*z**7/14 + 4*z**6/5 - 3*z**5/4 - 9*z**4/2 + 2*z**3 + 12*z**2 + 95*z. Suppose c(j) = 0. Calculate j.
-2, -2/3, 1
Let n(u) be the first derivative of u**6/45 + u**5/15 - u**4/18 - 2*u**3/9 + u + 45. Let z(r) be the first derivative of n(r). Let z(x) = 0. What is x?
-2, -1, 0, 1
Let f(c) be the first derivative of 0*c**2 + 0*c**4 + 1/80*c**5 - 3*c**3 + 1/240*c**6 + 0*c - 5. Let s(i) be the third derivative of f(i). Factor s(d).
3*d*(d + 1)/2
Let x(k) be the first derivative of -k**6/3 + 2*k**5 - 3*k**4 - 4*k**3/3 + 7*k**2 - 6*k + 169. Solve x(z) = 0 for z.
-1, 1, 3
Suppose -3*s - 16 = c + 1, 2*c = 5*s + 10. Let a be (7 + -7)/(2 + s). Determine i, given that a - 2/5*i**3 + 2/5*i**2 - 2/5*i**4 + 2/5*i = 0.
-1, 0, 1
Suppose -256/7 - 64/7*w + 26/7*w**4 + 116/7*w**3 + 176/7*w**2 + 2/7*w**5 = 0. Calculate w.
-4, -2, 1
Suppose 6*y - 113 + 113 = 0. Let w(h) be the second derivative of -1/24*h**4 - 1/30*h**6 + 0*h**3 + 0*h**2 + 3/40*h**5 + y - 3*h. Factor w(g).
-g**2*(g - 1)*(2*g - 1)/2
Let a(j) be the first derivative of j**6/15 + 14*j**5/75 - 3*j**4/5 + 16*j**3/45 - 79. Determine i, given that a(i) = 0.
-4, 0, 2/3, 1
Let x(m) be the first derivative of m**8/420 + m**7/420 + m**6/1440 - m**3 + 10. Let c(u) be the third derivative of x(u). Factor c(j).
j**2*(4*j + 1)**2/4
Let y be 2/5 - ((-1255)/(-900) - 1). Let u = y + 349/1980. What is m in 0*m + u*m**2 + 2/11*m**3 + 0 = 0?
-1, 0
Let c(j) be the third derivative of -j**9/151200 - j**8/16800 + j**6/450 + 13*j**5/60 + 8*j**2. Let a(u) be the third derivative of c(u). Factor a(l).
-2*(l - 1)*(l + 2)**2/5
Let p be -6*328/32 + 1/(-2). Let d = 125/2 + p. Factor -d*j - 3/2*j**2 - j**3 + 0.
-j*(j + 1)*(2*j + 1)/2
Let f(l) be the first derivative of 4/105*l**5 + 1/84*l**4 + 0*l**3 + 0*l - 6 + 4/105*l**6 + 4*l**2. Let a(o) be the second derivative of f(o). Factor a(u).
2*u*(4*u + 1)**2/7
Let q(j) be the third derivative of -j**7/70 + j**6/8 + 3*j**5/10 + j**2 + 5*j. Factor q(x).
-3*x**2*(x - 6)*(x + 1)
Let x(v) be the first derivative of -v**8/2184 - 4*v**7/1365 - v**6/195 - 23*v**2/2 + 3. Let g(h) be the second derivative of x(h). Factor g(t).
-2*t**3*(t + 2)**2/13
Let k = 17688 - 123807/7. Factor 0 - 15/7*u**2 - 1/7*u**4 + k*u + u**3.
-u*(u - 3)**2*(u - 1)/7
Suppose -7*t**4 - 4*t**5 - 910*t**3 - 2720*t**2 - 1920*t - 53*t**4 - 77*t**4 - t**5 + 22*t**4 = 0. Calculate t.
-8, -6, -1, 0
Let q(v) be the third derivative of v**7/504 - v**6/48 - v**5/6 + 29*v**4/24 - 3*v**2. Let l(b) be the second derivative of q(b). Factor l(n).
5*(n - 4)*(n + 1)
Suppose 3*a - 3 = -3. Let v be (-11 - -15)*(-2)/(-4). Determ