/5 - 2/5*x = 0 for x.
-2, 1
Let t(j) be the third derivative of 1/240*j**6 + 1/20*j**5 + 2/3*j**3 + j**2 + 0 + 0*j + 1/4*j**4. Factor t(v).
(v + 2)**3/2
Let l(r) be the third derivative of 0 - 1/360*r**6 - 5*r**2 + 1/6*r**3 + 1/36*r**5 + 0*r - 7/72*r**4. What is f in l(f) = 0?
1, 3
Let u(y) be the second derivative of 0*y**2 - 1/6*y**4 - 1/3*y**3 + 1/10*y**5 + 3*y + 1/15*y**6 + 0. Factor u(f).
2*f*(f - 1)*(f + 1)**2
Let d be 2/(-3) - (-11)/3. Find w, given that 2*w**d - 2*w**2 + 6*w**2 - 2*w**4 - 2*w**2 - 2*w**5 = 0.
-1, 0, 1
Determine h, given that 1/6*h**3 + 0 - 2/3*h + 0*h**2 = 0.
-2, 0, 2
Suppose -2*s**3 + 2*s - 15*s**4 + 5*s**4 + 0*s**2 + 13*s**2 - 3*s**4 = 0. What is s?
-1, -2/13, 0, 1
Let w(a) = -26*a**2 - 30*a + 56. Let x(n) = -5*n**2 - 6*n + 11. Let f(z) = -3*w(z) + 16*x(z). Suppose f(y) = 0. What is y?
-4, 1
Let j = -13/5 - -14/5. Find l, given that -2/5*l + j*l**2 + 0 = 0.
0, 2
Let z(g) be the first derivative of -3*g**5/25 - 3*g**4/4 - 7*g**3/5 - 9*g**2/10 + 16. Factor z(n).
-3*n*(n + 1)**2*(n + 3)/5
Find k such that 3/5*k**3 - 4/5*k + 0*k**2 + 0 - 1/5*k**4 = 0.
-1, 0, 2
Let y(i) be the second derivative of -i**7/252 - 23*i**6/180 - 19*i**5/12 - 329*i**4/36 - 833*i**3/36 - 343*i**2/12 - 7*i. Suppose y(o) = 0. Calculate o.
-7, -1
Let a be 0 + 0 - (-1 - 2). Let n be 32/(-6)*12/(-8). Find x such that -n*x + 0 + 2 - 2*x**2 + x + 7*x**a = 0.
-1, 2/7, 1
Factor -40*g**3 + 71*g**2 + 3*g**2 + 5*g**4 + 6*g**2.
5*g**2*(g - 4)**2
Let n = 4 - -4. Let a(p) = p**2 - 7*p - 6. Let s be a(n). Factor 45*b**2 - 4*b**s - 2*b**2 + 35*b**3 - 4.
(b + 1)*(5*b + 2)*(7*b - 2)
Let 0*g + 1/5*g**4 + 0 - 2/5*g**3 + 1/5*g**2 = 0. Calculate g.
0, 1
Suppose 18 + 4 = 11*t. Determine x, given that 2/5*x**t + 6/5*x + 4/5 = 0.
-2, -1
Let c(z) be the third derivative of z**5/20 - z**4/8 - z**3 - 17*z**2. Factor c(v).
3*(v - 2)*(v + 1)
Suppose -1 = 2*p + 4*d + 7, -2*p + 2 = -d. Solve 2/5*o**3 + 0 + p*o + 2/5*o**2 = 0 for o.
-1, 0
Let l(h) be the first derivative of -5*h**6/18 - 4*h**5/3 - 25*h**4/12 - 10*h**3/9 - 47. Let l(d) = 0. What is d?
-2, -1, 0
Let f(p) be the second derivative of p**5/50 - p**4/15 - 13*p**3/15 - 2*p**2 + 57*p. Determine b so that f(b) = 0.
-2, -1, 5
Let y(i) = -20*i**3 - 20*i**2 - 15*i + 15. Let o(x) = 5*x**3 + 5*x**2 + 4*x - 4. Let p(h) = -15*o(h) - 4*y(h). Factor p(g).
5*g**2*(g + 1)
Let r(g) be the third derivative of g**5/60 + g**4/12 + 3*g**2. Suppose r(s) = 0. Calculate s.
-2, 0
Let b(f) = -f**3 + f**2 + f. Let t(v) = -9*v**3 + 12*v**2 + 9*v. Let j(i) = 12*b(i) - t(i). Factor j(r).
-3*r*(r - 1)*(r + 1)
Let x = 537 - 534. Find w, given that 3*w - w**2 - 2/3 - 4/3*w**x = 0.
-2, 1/4, 1
Let v(z) be the third derivative of z**8/20160 - z**5/60 + 3*z**2. Let d(k) be the third derivative of v(k). Factor d(q).
q**2
Let h(c) be the second derivative of -1/3*c**4 + 0 + 8*c + 4*c**2 - 2/3*c**3. Factor h(d).
-4*(d - 1)*(d + 2)
Let y be (-2)/17 + 116*1/408. Let -y + 1/6*f**2 - 1/6*f + 1/6*f**3 = 0. Calculate f.
-1, 1
Let j(d) be the second derivative of -d**4/48 + 7*d**3/24 - 3*d**2/4 + 43*d. Factor j(m).
-(m - 6)*(m - 1)/4
Let u(n) be the third derivative of 0*n + 1/2*n**3 - 5*n**2 + 11/10*n**5 + 0 - 1/28*n**8 + 17/70*n**7 - n**4 - 7/10*n**6. Suppose u(t) = 0. What is t?
1/4, 1
Factor 2/3*q**3 + 0 - 4*q - 2/3*q**2.
2*q*(q - 3)*(q + 2)/3
Suppose -4*i - 3*s + 0*s = -5273, 3957 = 3*i + 3*s. Let t = i - 5221/4. Factor 0*o - t*o**2 + 1 + 21/4*o**3.
(o - 2)*(3*o - 1)*(7*o + 2)/4
Let l(j) be the third derivative of -j**6/60 - 19*j**5/90 - 16*j**4/27 - 20*j**3/27 - 9*j**2. Factor l(s).
-2*(s + 5)*(3*s + 2)**2/9
Let y(s) be the third derivative of 0*s**3 + 1/360*s**6 + 0 + 1/72*s**4 + 0*s - 1/90*s**5 + 2*s**2. Determine m, given that y(m) = 0.
0, 1
Let j(g) be the first derivative of -2*g**5/15 + g**4/3 + 2*g**3/3 - 4*g**2/3 - 8*g/3 + 16. Factor j(k).
-2*(k - 2)**2*(k + 1)**2/3
Suppose 5*q + d - 7 = 2, 2*q = -4*d. Factor -2*n**4 + 2*n**2 - 2*n**5 + q*n**3 + 18*n - 18*n.
-2*n**2*(n - 1)*(n + 1)**2
Let f(n) be the third derivative of -n**6/24 - 2*n**5/3 + 5*n**4/24 + 20*n**3/3 + 10*n**2. Find y such that f(y) = 0.
-8, -1, 1
Let z(a) be the first derivative of a**3 - 12*a**2 + 48*a - 8. Factor z(v).
3*(v - 4)**2
Find c such that -36*c**3 - 10*c + 9*c - 64*c**2 - 9*c - 10*c + 8 = 0.
-1, 2/9
Suppose -2*f - 5*z - 25 = 3*f, 3*f + 5*z + 21 = 0. Let k be -1 + 3/(-2)*f. Determine v so that -v - 3*v + 2*v - 2*v**k = 0.
-1, 0
Let b(u) = 13*u. Let n be b(0). Determine w, given that n*w**2 + 4/3*w**4 + 0*w - 2/3*w**3 + 0 - 2/3*w**5 = 0.
0, 1
Let f(t) be the first derivative of -4*t**3/3 + 8*t**2 - 16*t - 2. Factor f(c).
-4*(c - 2)**2
Let o(f) be the second derivative of -2*f**7/21 - 8*f**6/15 - f**5/5 + 10*f**4/3 + 8*f**3/3 - 16*f**2 + 19*f. Solve o(p) = 0.
-2, 1
Let c(g) be the third derivative of -2*g**6/21 + 17*g**5/105 - g**4/14 - 14*g**2. Factor c(l).
-4*l*(4*l - 1)*(5*l - 3)/7
Let z(f) be the second derivative of f**6/1440 + f**5/480 - f**4/48 - f**3/2 - f. Let k(r) be the second derivative of z(r). Suppose k(j) = 0. Calculate j.
-2, 1
Let p(a) be the first derivative of 2*a**3/9 + a**2 + 28. Solve p(c) = 0 for c.
-3, 0
Factor 0 - 3/5*t - 1/5*t**2.
-t*(t + 3)/5
Let m(w) = w**2 - 2*w - 1. Let s be m(2). Let y be 4*(4/(-6) - s). Factor 0 + y*n**2 - 4/3*n**4 + 2/3*n + 0*n**3 - 2/3*n**5.
-2*n*(n - 1)*(n + 1)**3/3
Suppose 0 + 0*g + 4/5*g**2 + 2*g**3 + 2/5*g**4 - 4/5*g**5 = 0. What is g?
-1, -1/2, 0, 2
Suppose -3 = 3*i - 4*i. Factor f**3 - 15*f + 17*f**3 + i + 9*f**2 + 9*f**3.
3*(f + 1)*(3*f - 1)**2
Let y(t) be the first derivative of 0*t**2 - 4/21*t**3 + 0*t - 1/14*t**4 - 1. Factor y(c).
-2*c**2*(c + 2)/7
Let 16/5*k - 2/15*k**5 + 14/15*k**2 - 46/15*k**3 - 32/15 + 6/5*k**4 = 0. What is k?
-1, 1, 4
Let b(c) = -3*c + 4. Let v be b(3). Let w = v + 8. Factor -3*r**4 - r**w + 3*r**4 + r**5.
r**3*(r - 1)*(r + 1)
Let d(w) be the second derivative of -w**9/16632 - w**8/2310 - w**7/1155 + w**3 + w. Let s(g) be the second derivative of d(g). Suppose s(y) = 0. Calculate y.
-2, 0
Let s(r) be the third derivative of r**8/112 - r**7/70 - r**6/8 + r**5/20 + r**4 + 2*r**3 - 11*r**2. Suppose s(n) = 0. Calculate n.
-1, 2
Solve 448*i**3 + 12*i**2 - 228*i**3 - 18*i - 222*i**3 = 0 for i.
0, 3
Let l(v) be the first derivative of 2*v**5/55 + 2*v**4/11 + 2*v**3/11 - 34. Find h, given that l(h) = 0.
-3, -1, 0
Let f(s) be the second derivative of -2*s**7/21 - 8*s**6/45 + 2*s**5/15 + 4*s**4/9 + 2*s**3/9 - 8*s. Find q such that f(q) = 0.
-1, -1/3, 0, 1
Let f be (-35)/(-7) - (-1 + 2). Let y(p) be the third derivative of 0 - 1/24*p**3 + 0*p + 9/160*p**6 - 2*p**2 - 9/80*p**5 + 3/32*p**f. Solve y(v) = 0 for v.
1/3
Let g = 7 + 3. Suppose 2*h + g = 4*s, 5*h - 19 = s - 2*s. Factor -6*w - 6 + 63*w**3 + 249/2*w**2 - 1323/2*w**s.
-3*(3*w - 1)**2*(7*w + 2)**2/2
Let c be (1 - -6)/(4 - 3). Let d = c + -5. Solve -6/5*n + 3*n**d + 0 = 0 for n.
0, 2/5
Let d be -8 + 5/35*58. Factor 4/7*v + 0*v**2 - 2/7*v**4 + d - 4/7*v**3.
-2*(v - 1)*(v + 1)**3/7
Suppose -10*a + 24 = 2*a. Let u(c) be the second derivative of 1/5*c**a + 3*c + 11/50*c**5 + 0 + 1/15*c**3 - 3/10*c**4 - 4/75*c**6. Factor u(r).
-2*(r - 1)**3*(4*r + 1)/5
Let i be 3 + -2 - 0 - -1. Factor -f + f**2 - 3*f**3 + 7*f**i + 2*f**4 - f**4 - 5*f**2.
f*(f - 1)**3
Let z(t) = t. Suppose 0 = p - 2 - 0. Let o be z(p). Determine l so that 1 + 10*l**3 + 7*l + l**5 + 11*l**2 - l**o + 5*l**4 - 2*l = 0.
-1
Let o(c) = 8*c**5 + 2*c**4 + 5*c**3 + 11*c - 11. Let n(r) = 3*r**5 + r**4 + 2*r**3 + 4*r - 4. Let t(a) = 11*n(a) - 4*o(a). Factor t(x).
x**3*(x + 1)*(x + 2)
Let f(j) be the first derivative of -39/4*j**4 - 21/2*j**2 - 12/5*j**5 - 15*j**3 + 5 - 3*j. Suppose f(a) = 0. Calculate a.
-1, -1/4
Let s(m) be the third derivative of -m**7/525 - m**6/75 - m**5/25 - m**4/15 - m**3/15 - 7*m**2. Determine l, given that s(l) = 0.
-1
Suppose 0 - 1/2*w**2 - 3/2*w = 0. Calculate w.
-3, 0
Let x = 0 + 2. Suppose -3*w - 5 = -2*r + 8, -4*w - 18 = -3*r. Let -6*t**3 + 4*t**3 - 2*t - t**x + 0*t**2 - 3*t**r = 0. What is t?
-1, 0
Let t(p) be the second derivative of -1/20*p**4 - 1/10*p**3 + 0 + 0*p**2 + 3*p. What is r in t(r) = 0?
-1, 0
Suppose 8 = -2*j, -26 = -5*g - 5*j + 14. Factor 13 - 13 - g*b + 4*b + 4*b**2.
4*b*(b - 2)
Factor -6*o**3 + 6*o + 2*o**5 - 4*o**2 + o - 7*o.
2*o**2*(o - 2)*(o + 1)**