+ 2 = 0.
-1, 1
Suppose 0 = -c - 0*c. Factor -28*n**4 - 4*n**2 - 10*n**5 + c*n**2 + 4*n**4 - 18*n**3.
-2*n**2*(n + 1)**2*(5*n + 2)
Let a(h) = h + 10. Let l be a(-8). Let m(p) be the first derivative of 1 + 1/6*p**3 + 1/8*p**4 + 0*p + 0*p**l. Factor m(r).
r**2*(r + 1)/2
Solve 0 - 18/5*a**3 + 2/5*a - 6/5*a**2 - 2*a**4 = 0.
-1, 0, 1/5
Let i(x) be the third derivative of 2/3*x**3 - 13/60*x**5 - 5*x**2 + 0 - 1/6*x**4 - 1/24*x**6 + 0*x. Determine g, given that i(g) = 0.
-2, -1, 2/5
Let i(u) be the third derivative of 3*u**8/560 - u**7/70 + 7*u**6/600 - u**5/300 + 4*u**2. Factor i(c).
c**2*(c - 1)*(3*c - 1)**2/5
Let v(s) be the third derivative of -s**7/105 - s**6/30 - s**5/30 - 51*s**2. Find h, given that v(h) = 0.
-1, 0
Let 8*g**3 + 115*g**2 - 39*g - 35*g**4 - 80 + 27*g**3 - g + 5*g**5 = 0. Calculate g.
-1, 1, 4
Let n(i) be the third derivative of -i**8/504 + i**6/60 - i**5/45 - 6*i**2. Factor n(d).
-2*d**2*(d - 1)**2*(d + 2)/3
Let l be (-3)/(-9) + (-2)/(-6). Let o(n) = n**3 - 3*n**2 - 4*n. Let c be o(4). Suppose -2/3*t + l*t**2 + c = 0. Calculate t.
0, 1
Suppose -5*f + 1 + 4 = 0. Factor -1 + f + q - 3*q**5 - 5*q**3 - q**3 - 8*q**4.
-q*(q + 1)**3*(3*q - 1)
Factor 1/7*u**2 - 3/7*u + 2/7.
(u - 2)*(u - 1)/7
Suppose -3*x + 62 = -j, -3*j - 6*x = -2*x + 212. Let c = 139/2 + j. Factor -1 + v**2 - 3/2*v + c*v**3.
(v - 1)*(v + 1)*(3*v + 2)/2
Let v(l) be the first derivative of -l**6/180 + l**4/12 - 5*l**3/3 - 4. Let w(x) be the third derivative of v(x). Factor w(g).
-2*(g - 1)*(g + 1)
Let r(j) = 8*j**5 + 2*j**4 - 3*j**3 - 2*j**2 + 5. Let u(y) = -33*y**5 - 9*y**4 + 12*y**3 + 9*y**2 - 21. Let v(w) = -21*r(w) - 5*u(w). Factor v(c).
-3*c**2*(c - 1)**2*(c + 1)
Let f(i) be the first derivative of -4/3*i**6 - 18/5*i**5 - 3*i**4 - 4 + 0*i - 2/3*i**3 + 0*i**2. Factor f(z).
-2*z**2*(z + 1)**2*(4*z + 1)
Let c be (0/((-12)/4))/(-2). Let z(p) be the first derivative of c*p**2 + 49/9*p**6 - 4*p**4 + 14/5*p**5 + 0*p + 8/9*p**3 + 3. Factor z(f).
2*f**2*(f + 1)*(7*f - 2)**2/3
Determine w, given that 2/3*w - 1/3*w**2 + 1 = 0.
-1, 3
Let b = -58 - -233/4. Solve 0*z + 1/4 - b*z**2 = 0.
-1, 1
Suppose 0 = -90*j + 86*j. Factor 0*x**3 + j*x**2 + 1/3*x**4 + 1/3*x**5 + 0*x + 0.
x**4*(x + 1)/3
Factor -303*x + 628*x - 313*x - 48*x**3 + 2*x**2 + 2 + 32*x**4.
2*(x - 1)**2*(4*x + 1)**2
Let m(t) = -t**2 - 10*t + 9. Let b be m(-12). Let a be (-3)/b*(-20)/(-6). Factor -4/3*d + a*d**2 + 2/3.
2*(d - 1)**2/3
Factor -5/2*h**2 + 15/2*h - 15/2*h**3 + 0 + 5/2*h**4.
5*h*(h - 3)*(h - 1)*(h + 1)/2
Let d(y) be the third derivative of y**6/660 - y**5/330 + 42*y**2. What is t in d(t) = 0?
0, 1
Let g(z) be the first derivative of 5*z**3 + 1 + 0*z + 3/5*z**5 + 3*z**4 + 3*z**2. Determine u so that g(u) = 0.
-2, -1, 0
Let j(k) be the first derivative of 2/9*k**2 + 0*k - 2/45*k**5 + 2/9*k**4 - 2 - 10/27*k**3. Find h such that j(h) = 0.
0, 1, 2
Suppose -30 - 19 + 61*u + 1 - 3*u**2 - 37*u = 0. Calculate u.
4
Let l = 1183/199980 + -2/5555. Let b(o) be the third derivative of l*o**6 - 1/45*o**5 + 0*o + 1/36*o**4 + 0 + 4*o**2 + 0*o**3. Find r such that b(r) = 0.
0, 1
Let n = -10/71 - -111/284. Factor 0 + 1/4*d**2 - n*d.
d*(d - 1)/4
Let u(z) = 10*z**3 - 17*z**2 + 8*z - 1. Let t(j) = -5*j**3 + 9*j**2 - 4*j. Let v(o) = 9*t(o) + 4*u(o). Find a, given that v(a) = 0.
-2/5, 1, 2
Let w be -2*1/(-2) + -1. Let k = 613 - 3047/5. What is n in 6/5*n**3 + k*n**4 + 2/5*n - 2*n**2 + w = 0?
-1, 0, 1/3
Let f(p) be the second derivative of -p**5/100 - p**4/60 + 12*p. Factor f(r).
-r**2*(r + 1)/5
Let a(v) be the third derivative of -v**7/3780 - v**6/810 - v**3/2 - 4*v**2. Let t(w) be the first derivative of a(w). Determine s, given that t(s) = 0.
-2, 0
Let f(q) = q**3 + 12*q**2 + 8*q + 11. Let n(i) = i**3 + 11*i**2 + 8*i + 10. Let p(m) = -6*f(m) + 7*n(m). Factor p(b).
(b + 1)*(b + 2)**2
Let u(s) be the first derivative of 4 + 0*s + 0*s**3 + 0*s**2 + 2/15*s**5 - 1/9*s**4 - 1/27*s**6. Factor u(w).
-2*w**3*(w - 2)*(w - 1)/9
Let d(z) be the third derivative of -z**7/840 + z**6/120 - z**5/40 + z**4/24 - z**3/2 + 3*z**2. Let p(h) be the first derivative of d(h). Factor p(q).
-(q - 1)**3
Let x(g) = 4*g**2 + 54*g. Let v(r) = -r**2 - 11*r. Let a(l) = 28*v(l) + 6*x(l). Factor a(w).
-4*w*(w - 4)
Let j(w) be the first derivative of 0*w**4 + 1/3*w**6 - 2 - 4/5*w**5 - w**2 + 4/3*w**3 + 0*w. Find v such that j(v) = 0.
-1, 0, 1
Let k(g) = -9*g**3 - 13*g**2 + 9*g + 8. Suppose 3*t - 5 = 4. Let c(v) = -5*v**3 - 7*v**2 + 5*v + 4. Let r(h) = t*k(h) - 5*c(h). What is m in r(m) = 0?
-2, -1, 1
Let z(k) be the third derivative of 0 + 0*k + k**2 + 1/240*k**5 + 0*k**3 - 1/96*k**4. Factor z(d).
d*(d - 1)/4
Factor -5*k + 20*k**3 - 16*k**2 + 12*k**4 - 3*k - 8*k.
4*k*(k - 1)*(k + 2)*(3*k + 2)
Let f be (12/8)/((-1)/(-12)). Let g be (f/20)/((-3)/(-8)). Factor -8/5*x - 2/5*x**4 - 8/5*x**3 - g*x**2 - 2/5.
-2*(x + 1)**4/5
Suppose -6*a + 3 = -9. Factor -4/3 - 8/3*w**a - 10/3*w - 2/3*w**3.
-2*(w + 1)**2*(w + 2)/3
Let a(d) = d**4 - d**3 + d**2 + d - 1. Let q(o) = -3*o**4 - 4*o**3 + 12*o**2 - 4*o + 4. Let n(r) = 4*a(r) + q(r). Factor n(z).
z**2*(z - 4)**2
Let v(w) be the first derivative of 1/2*w**4 + 0*w - 9/5*w**5 + 2 + 3*w**3 - w**2. Find n, given that v(n) = 0.
-1, 0, 2/9, 1
Let -40/3*z**3 - 5/3*z**2 - 25/3*z**4 + 0 + 10/3*z = 0. What is z?
-1, 0, 2/5
Let w(s) be the first derivative of s**6/36 - s**4/8 - s**3/9 - 20. Determine d so that w(d) = 0.
-1, 0, 2
Factor 6*s**3 + 0*s - 21*s**3 + 6*s + 3*s**4 - 3 + 9*s**3.
3*(s - 1)**3*(s + 1)
Suppose -2*x - 3*x = -15. Suppose 0 = p + x*d + 7, 4*d + 22 = -0*p + 5*p. Solve -3*i**p + 4*i - 2 + i**2 + 3*i**2 + 6 = 0 for i.
-2
Factor -3/2 + 3/2*f**2 - 3/4*f + 3/4*f**3.
3*(f - 1)*(f + 1)*(f + 2)/4
Let o(k) be the third derivative of -k**6/180 - k**5/45 - k**4/36 - 18*k**2. Solve o(q) = 0.
-1, 0
Let s be (-8 + 4)/(((-40)/22)/2). Solve -8/5*g**5 - 18/5*g**3 - s*g**4 + 0 - 2/5*g**2 + 2/5*g = 0 for g.
-1, 0, 1/4
Let c = -3/358 - -816/1253. Let w = c - -6/7. Solve -3/2*k**2 - 3/2*k**3 + w + 3/2*k = 0 for k.
-1, 1
Let u(x) be the second derivative of -2*x**7/945 - x**6/135 - x**5/90 + x**4/2 + 7*x. Let i(h) be the third derivative of u(h). Factor i(t).
-4*(2*t + 1)**2/3
Let d(c) be the first derivative of 3*c**4/10 - 8*c**3/15 - 3*c**2/5 + 8*c/5 - 66. Factor d(i).
2*(i - 1)*(i + 1)*(3*i - 4)/5
Suppose -a - 5*o = -15 + 7, 5*a - 2*o - 13 = 0. Factor -2*j + 3*j**2 - j**3 - 2*j**3 - 2*j**3 + 4*j**a.
-j*(j - 2)*(j - 1)
Let o = -25 - -28. Find h, given that -h + 6 + 8*h - 2*h**o + 3*h + 2*h**2 = 0.
-1, 3
Let q = -9109 - -82075/9. Let h = q + -79/36. Find i such that -3/2 - 27/4*i**2 - h*i = 0.
-1, -2/9
Factor -1/2*o + 1/2*o**3 + o**2 - 1.
(o - 1)*(o + 1)*(o + 2)/2
Let g be (10 + 2)*4/16. Let i(l) be the second derivative of 0 - 1/60*l**5 - 1/9*l**4 + 4*l - 1/3*l**2 - 5/18*l**g. Factor i(w).
-(w + 1)**2*(w + 2)/3
Suppose 2*q + 2 = -5*i + 12, 0 = 4*q. Let m be (-3 + 2 - -15)/3. Factor 0 - 4/3*w - m*w**i.
-2*w*(7*w + 2)/3
Factor 52*m + 135*m**3 - 32*m + 160*m**2 - 58*m**3 + 148*m**3 - 405*m**4.
-5*m*(m - 1)*(9*m + 2)**2
Let o(a) be the first derivative of a**2/2 + 3. Let m be o(3). Determine l so that -2*l**m - 4/5 + 2*l + 6/5*l**4 - 2/5*l**2 = 0.
-1, 2/3, 1
Let f = 1033/12 + -297/4. Let h = -23/2 + f. Suppose 2/3 + h*x**5 + 2/3*x**2 + 4/3*x**3 - 4/3*x**4 - 5/3*x = 0. Calculate x.
-1, 1, 2
Suppose -z = 2*z. Let d(b) be the third derivative of 0 + 0*b**6 + 0*b**4 - 1/210*b**7 + 2*b**2 + z*b**5 - 1/336*b**8 + 0*b + 0*b**3. Find y such that d(y) = 0.
-1, 0
Let w be -2*(-4)/8 - -1. Suppose 4*q - 2 - 6 = 0. Factor 2*s**3 - q*s**2 + 2*s**2 + 0*s**2 - w*s**2.
2*s**2*(s - 1)
Let a be 0/(2 + (3 - 3)). Determine l so that -1/4*l**2 + 0 + a*l + 0*l**3 + 1/4*l**4 = 0.
-1, 0, 1
Let y(p) = -6*p**3 + 14*p**2 - 21*p - 9. Let d(x) = -11*x**3 + 29*x**2 - 42*x - 18. Let t(a) = 3*d(a) - 5*y(a). Factor t(h).
-(h - 3)**2*(3*h + 1)
Let c(o) be the second derivative of o**7/84 - o**6/60 - o**5/20 + o**4/12 + o**3/12 - o**2/4 - 2*o. Let c(y) = 0. What is y?
-1, 1
Suppose 6 - u**4 - 15 + 9 = 0. What is u?
0
Let i(a) be the third derivative of 1/8*a**4 + 0*a**3 + 2*a**2 + 0 - 1/40*a**5 + 0*a. Factor i(c).
-3*c*(c - 2)/2
Let v be 0 - 1*9/(-3). Factor h - 4*h**v + 3*h**3 - 2*h**3 + 2*h**2.
-h*(h - 1)*(3*h + 1)
Let v = 25 + -25. Let u be 0 + v - (-1)/4. Factor 0*k + u - 1/