*2 - 1/5*b**5 + 9/8*b**4 + 0 + 0*b - b**3. Factor y(h).
-3*(h - 2)*(4*h - 1)
Factor 4/5 + 1/5*r**3 + 9/5*r + 6/5*r**2.
(r + 1)**2*(r + 4)/5
Let f = -307/3 + 103. Let x(n) = n - 1. Let y be x(3). Suppose f*c**y - 2/9*c + 0 = 0. What is c?
0, 1/3
Let a = 47 - 43. What is m in 5/4*m**3 - 1/2 - 5/4*m - 3*m**a + 7/2*m**2 = 0?
-1, -1/4, 2/3, 1
Solve -1/5*v**2 + 1/5*v**4 - 2/5*v + 0 + 2/5*v**3 = 0.
-2, -1, 0, 1
Find m, given that -9/5*m - 3/5*m**2 - 6/5 = 0.
-2, -1
Let l(j) be the first derivative of 10 + 9*j**4 - 6*j**2 - 8*j**4 + j + 7*j. Factor l(v).
4*(v - 1)**2*(v + 2)
Suppose f - 2*f = -5*q + 8, -3*q = -2*f - 2. Let k(c) be the first derivative of 0*c - 2/3*c**q - 2/9*c**3 + 3. Factor k(r).
-2*r*(r + 2)/3
Let v = -289/3 - -3185/33. Factor -2/11*t - 4/11*t**2 + 0 - v*t**3.
-2*t*(t + 1)**2/11
Let j(b) be the third derivative of 0*b**5 + 1/80*b**6 + 0*b**3 - 1/16*b**4 + 0*b + 0 - 3*b**2. Factor j(o).
3*o*(o - 1)*(o + 1)/2
Suppose -5*q + 5*b + 31 = 1, -9 = -4*q - b. Factor 5 + q*c**2 + 3*c**5 - 3*c**4 - 3*c**3 - 5.
3*c**2*(c - 1)**2*(c + 1)
Let z(v) be the second derivative of -v**4/36 - 17*v**3/36 - 2*v**2/3 + 14*v - 1. What is n in z(n) = 0?
-8, -1/2
Let y(v) be the first derivative of v**4/4 - v**3/3 + 1. Factor y(z).
z**2*(z - 1)
Factor 17 - 36 - 8*a + 28*a**2 - 12*a**3 + 19.
-4*a*(a - 2)*(3*a - 1)
Let y(s) be the third derivative of s**7/1260 - s**6/162 + s**5/60 - s**4/54 + 2*s**3/3 + s**2. Let w(p) be the first derivative of y(p). What is z in w(z) = 0?
1/3, 1, 2
Factor 12*m + 4*m**2 - 14*m + 0*m**2 + 6*m.
4*m*(m + 1)
Suppose 1140*c - 15 = 1135*c. Factor -1/4*h**5 + 1/2*h**c + 0*h + 1/4*h**4 + 0*h**2 + 0.
-h**3*(h - 2)*(h + 1)/4
Let m be -1*3 - (1 + -10). Let z(j) be the third derivative of 0*j + 0*j**3 + 1/60*j**m + 1/6*j**4 + 0 - 1/10*j**5 - 3*j**2. Factor z(l).
2*l*(l - 2)*(l - 1)
Let f(x) = -x**4 - 2*x**3 - 5*x**2. Let k(w) be the second derivative of -w**6/30 - 3*w**5/20 - w**4/2 - w. Let i(t) = -5*f(t) + 4*k(t). Solve i(l) = 0.
0, 1
Let u(q) be the first derivative of -3*q**5/20 - q**4/2 + q**3/2 + 3*q**2 - 2*q + 3. Let w(a) be the first derivative of u(a). Find r such that w(r) = 0.
-2, -1, 1
Let l = -10 - -14. Factor -y**l + y**4 + 0*y**4 + 2*y**4.
2*y**4
Determine n, given that 3*n**3 - 4 + 17*n**2 - 8*n**2 - 3*n**4 - 3*n - 2 = 0.
-1, 1, 2
Let u(s) be the first derivative of 1 + 0*s**3 + 0*s + s**2 - 1/84*s**4 + 1/210*s**5. Let b(q) be the second derivative of u(q). Suppose b(t) = 0. What is t?
0, 1
Let d be (-3335)/(-92) + 1/(-4). Let c be -1*1*d/(-63). Factor -169/7*t**2 - 52/7*t - c.
-(13*t + 2)**2/7
Find b, given that 3/7*b**2 + 0 - 12/7*b = 0.
0, 4
Let u(m) be the third derivative of m**8/112 + 3*m**7/70 + 3*m**6/40 + m**5/20 + 8*m**2. Find l, given that u(l) = 0.
-1, 0
Let k be (-147)/(-66) - 9/(-33). Determine a so that -7/2*a - 1/2*a**3 + 3/2 + k*a**2 = 0.
1, 3
Let m(h) = h**3 + 4*h**2 - 2*h - 3. Let f be m(-4). Solve 4*b**f + 20*b**4 + b**2 - 5*b**2 + 8*b**5 + 4*b**3 = 0 for b.
-1, 0, 1/3
Let f = -53959/76 + 710. Let y = 5/19 - f. Factor -3/4*u**2 + 1 + y*u**3 + 0*u.
(u - 2)**2*(u + 1)/4
Suppose 0*u = 5*m + u + 60, -29 = 4*m - 3*u. Let p(o) = -o - 9. Let b be p(m). Factor -6*n + 3 + 3*n + 4*n**3 - 3*n**b + 0 - n**3.
3*(n - 1)**2*(n + 1)
Let q(t) = t**3 + 2*t**2 + 2*t. Let l be q(-2). Let m be 0 - ((-2 - l) + -4). Solve -1 + h**5 - m*h**3 + h + 1 = 0 for h.
-1, 0, 1
Let x be (-5)/((-10)/(-14)) + 56/8. Let -1/6*d + 0*d**3 + 1/3*d**2 + x - 1/3*d**4 + 1/6*d**5 = 0. What is d?
-1, 0, 1
Suppose -t = -2*r + 67, -2*t = 2*r - 4*t - 62. Let q = r + -36. Find a, given that 2*a**3 + q*a + 0 - 4/3*a**2 - 2/3*a**4 = 0.
0, 1, 2
Let a be -3 + 0 + (-411)/(-135). Let b(v) be the second derivative of 0*v**2 + a*v**5 + 0 + 1/54*v**4 - v - 1/45*v**6 - 2/27*v**3. Factor b(f).
-2*f*(f - 1)**2*(3*f + 2)/9
Let t = 1031/282 + 1/94. Let r(k) be the first derivative of t*k**4 - k**2 - 4/3*k - 1 + 5/9*k**6 + 12/5*k**5 + 16/9*k**3. Let r(b) = 0. Calculate b.
-1, 2/5
Let r be ((0 + 2)/(-2))/(-1). Let x be (-54)/(-12) + r/(-2). Factor -1 - 3*d**x + 1 + 2*d**4 - 2*d**3.
-d**3*(d + 2)
Let m(o) = 11*o**2 - 14. Let g(b) = -4*b**2 + 5. Let q(f) = 8*g(f) + 3*m(f). Let u be q(2). Factor 2/5*k**u + 0 + 0*k - 2/5*k**3.
-2*k**2*(k - 1)/5
Let p be ((-13)/3)/(4/24). Let c be p/(-8) - 6/(-12). Find f such that -9/4*f - 1/2 - 3/4*f**4 - 11/4*f**3 - c*f**2 = 0.
-1, -2/3
Let o(x) be the third derivative of x**6/540 + 17*x**5/270 + 20*x**4/27 + 64*x**3/27 + 3*x**2. Factor o(j).
2*(j + 1)*(j + 8)**2/9
Let m(t) be the second derivative of -1/20*t**5 - 1/24*t**4 - t**2 + 0 - t + 1/3*t**3. Let u(p) be the first derivative of m(p). Factor u(s).
-(s + 1)*(3*s - 2)
Let t(h) be the third derivative of -h**5/210 + h**4/84 - 10*h**2. Factor t(s).
-2*s*(s - 1)/7
Let l(v) be the second derivative of v**7/11340 - v**6/3240 - 7*v**4/12 + v. Let n(y) be the third derivative of l(y). Factor n(i).
2*i*(i - 1)/9
Let m = 2 - -3. Factor -2/7 - 2/7*z**m - 4/7*z**3 + 6/7*z**4 - 4/7*z**2 + 6/7*z.
-2*(z - 1)**4*(z + 1)/7
Let p(o) be the first derivative of -o**5 - 5*o**4/2 + 5*o**2 + 5*o + 8. Find j such that p(j) = 0.
-1, 1
Determine f so that -2*f**2 - 74*f + 4*f + 9*f**2 + 245 - 2*f**2 = 0.
7
Let n(t) be the second derivative of -3*t**5/70 + 13*t**4/42 - 16*t**3/21 + 4*t**2/7 + t. Determine i, given that n(i) = 0.
1/3, 2
Let f = 30 + -26. Suppose w - 6 = -f. Solve -2/3*s**4 - w*s**3 + 0 - 2*s**2 - 2/3*s = 0.
-1, 0
Let m = 1 + 2. Suppose 5*i - i = m*x + 27, -i + 5*x = 6. Find t, given that 4 - i + 5 + 2*t - 2*t**2 = 0.
0, 1
Let s = -20 + 29. Let h be ((-1)/s)/(8/(-48)). What is m in 10/3*m + 25/6*m**2 + h = 0?
-2/5
Let r(b) be the third derivative of 1/120*b**5 + 0 - 1/480*b**6 + 0*b**4 + 4*b**2 + 0*b**3 + 0*b. Factor r(h).
-h**2*(h - 2)/4
Factor -2/9*x**3 - 2/9*x**2 + 0 + 0*x.
-2*x**2*(x + 1)/9
Let w(u) = -2*u**3 + 5*u**2 - 11*u + 7. Let b(v) = -v**3 - v**2 + 1. Let i(n) = -3*b(n) + 3*w(n). Factor i(o).
-3*(o - 3)*(o - 2)*(o - 1)
Let u be (-42)/(-6) + 1*-1. Let p(l) be the third derivative of 0*l + 0*l**3 + 0*l**4 - l**2 - 1/105*l**7 - 1/30*l**u - 1/30*l**5 + 0. Let p(d) = 0. What is d?
-1, 0
Let s(d) be the second derivative of 10/3*d**3 - 2/3*d**4 + 2/21*d**7 + 6*d - 2/15*d**6 + 6*d**2 - 6/5*d**5 + 0. Factor s(h).
4*(h - 3)*(h - 1)*(h + 1)**3
Factor -1/5*q**2 + 0*q - 1/5*q**4 + 0 - 2/5*q**3.
-q**2*(q + 1)**2/5
Suppose 1 = 3*z + v, 5*z + v - 3 = -2. Determine n so that n**3 + 5*n**3 + z*n**3 - 3*n**3 = 0.
0
Suppose 0 = -4*q - 2*r + 6 - 4, 7 = 2*q - r. Let 6*t + 5*t**q - t - 2*t**2 - 2*t = 0. Calculate t.
-1, 0
Suppose 9 = s + q, 2*q - 17 = -s - 3. Suppose -5*m - 5 = a - 0, 2*a = m + 12. Let -1/2*i**s + i**2 - 1/2 + 1/2*i - i**3 + 1/2*i**a = 0. Calculate i.
-1, 1
Let d(c) = -c + 9. Let y be d(9). Find k, given that 0 + 0*k**2 + y*k + 2/9*k**3 = 0.
0
Let d(a) be the second derivative of -35*a**4/24 + 3*a**3/2 + 2*a**2 + 23*a. Factor d(f).
-(5*f - 4)*(7*f + 2)/2
Factor 7598*r**4 + 6*r**2 - 3*r**3 - 7596*r**4 - 5*r**3.
2*r**2*(r - 3)*(r - 1)
Find q such that 15*q**5 + 25*q**3 - 5*q**2 + 3 - 9 + 6 - 35*q**4 = 0.
0, 1/3, 1
Let o(h) be the first derivative of -h**4/20 - 7*h**3/15 - 3*h**2/2 - 9*h/5 - 7. Factor o(w).
-(w + 1)*(w + 3)**2/5
Factor 0*r - 1/3*r**3 + 0 + 1/3*r**2.
-r**2*(r - 1)/3
Let v(k) be the third derivative of k**6/1080 - k**5/180 + k**4/72 - k**3/2 - k**2. Let j(b) be the first derivative of v(b). What is m in j(m) = 0?
1
Let p(b) be the third derivative of -b**7/1260 + b**5/60 - b**4/18 - 7*b**3/6 + 3*b**2. Let l(g) be the first derivative of p(g). What is n in l(n) = 0?
-2, 1
Let i(q) be the second derivative of -2*q**4/13 - 8*q**3/39 - q**2/13 - 9*q. Factor i(r).
-2*(2*r + 1)*(6*r + 1)/13
What is u in -4*u**4 + 15*u**4 - 7*u**4 - 64*u**3 + 384*u**2 - 1024*u + 1024 = 0?
4
Let t(m) be the second derivative of -m**5/60 - m**4/24 + 11*m**2/2 - 9*m. Let r(l) be the first derivative of t(l). Find w such that r(w) = 0.
-1, 0
Let n(w) be the second derivative of -1/60*w**4 + 1/30*w**3 + 1/5*w**2 + 6*w + 0. Solve n(x) = 0 for x.
-1, 2
Let u(n) = n**3 - n**2 + 7*n - 3. Let l(i) = -3*i**3 + 2*i**2 - 20*i + 8. Let t(b) = 4*l(b) + 11*u(b). Let t(y) = 0. What is y?
-1
Let a(z) be the first derivative of 1/2*z**3 - 3/4*z - 3/20*z**5 - 1/8*z**6 - 3 + 3/8*z**4 - 3/8*z**2. Factor a(r).
-3*(r