1 - 1/8*f**2 + 1/24*f**6. Suppose m(g) = 0. Calculate g.
-1, 0, 1
Let q = 16/3 + -5. Let x be (-2)/(-3) - (7 - 7)/(-1). Factor q*r**2 - x - 1/3*r.
(r - 2)*(r + 1)/3
Let d(x) = -x**3 - 20*x**2 + 6*x + 120. Let w be d(-20). Let w + 1/3*c**3 + 2/3*c**2 - 1/3*c**4 + 0*c = 0. Calculate c.
-1, 0, 2
Let s(j) = -11*j**2 + 11*j + 9. Suppose 3*r - 4 = 14. Suppose -r = -2*z - 24. Let p(x) = -5*x**2 + 5*x + 4. Let y(d) = z*p(d) + 4*s(d). Factor y(o).
o*(o - 1)
Factor 6/11*a - 6/11*a**2 + 0.
-6*a*(a - 1)/11
Let o = 182 + -342. Let s be (o/(-180))/(4/6). Let 2*m**3 + 2/3*m**2 + 2/3 - 2*m - s*m**4 = 0. Calculate m.
-1, 1/2, 1
Let r(x) = -2*x**3 + 19*x**2 - 108*x + 215. Let f(v) = -v**3 + v**2 - 1. Let y(h) = -3*f(h) + 3*r(h). Find c such that y(c) = 0.
6
Suppose 5*p = p. Factor y - y + p*y - 8 + 4*y**2 - 4*y.
4*(y - 2)*(y + 1)
Let o = 7 + -5. Factor -5*m**o + 2*m**2 + 2 + 2*m - 3 + 2*m**2.
-(m - 1)**2
Let j(m) be the first derivative of 2/45*m**5 + 0*m**2 + 0*m - 1/18*m**4 - 2 + 0*m**3. Factor j(d).
2*d**3*(d - 1)/9
Let i(a) be the third derivative of a**9/75600 - a**7/12600 + a**4/4 - 3*a**2. Let f(z) be the second derivative of i(z). Suppose f(b) = 0. Calculate b.
-1, 0, 1
Suppose 2*g + 0*s + 5*s + 19 = 0, -4*s - 20 = 0. Let z(u) be the third derivative of 2/27*u**g + 0*u + u**2 + 0 - 5/108*u**4 - 7/270*u**5. Factor z(m).
-2*(m + 1)*(7*m - 2)/9
Let k = -4 - -7. Let -6 + 9*f - 3*f**k + 3*f**2 - 6*f**3 - 5*f**4 + 8*f**4 = 0. What is f?
-1, 1, 2
Let g(d) = 2*d**4 + 6*d**3 + 7*d**2. Let a(m) = -m**3 - m**2. Suppose 5*k + 116 - 46 = 0. Let h = -2 - 0. Let y(f) = h*g(f) + k*a(f). Factor y(j).
-2*j**3*(2*j - 1)
Let n be ((-16)/12)/(3/(-18)). Suppose 2*q - 3*p + 1 = -5, q - 4*p + n = 0. Suppose -1/3*s**3 + 0 + q*s - s**4 + 0*s**2 = 0. Calculate s.
-1/3, 0
Let r(b) = -2*b**3 - 4*b**2 + 2*b + 1. Let q be r(2). Let y = q - -30. Solve -2/9*c**y + 2*c**2 + 6 - 6*c = 0.
3
Determine j, given that 3*j**3 - 3*j**2 - 3*j + 3*j + 0*j = 0.
0, 1
Let b(n) be the first derivative of -n**6/9 - 2*n**5/5 - n**4/3 + 4*n**3/9 + n**2 + 2*n/3 + 19. Suppose b(f) = 0. Calculate f.
-1, 1
Let a(f) be the first derivative of f**4/4 - f**3 + f**2 - 4. Let a(b) = 0. What is b?
0, 1, 2
Let s be 1*10/(-4)*-1. Let r(o) = o**2 + 16*o - 36. Let x be r(-18). Determine a so that -4*a**2 - s*a**5 - 14*a**3 + x*a + 0 - 11*a**4 = 0.
-2, -2/5, 0
Let x be ((-10)/(-20))/(4 + -2). Factor 1/2*v**2 - x*v**3 + 0 - 1/4*v.
-v*(v - 1)**2/4
Let q(c) be the first derivative of 2*c**6/15 + 4*c**5/5 + 8*c**4/5 + 16*c**3/15 + 35. Factor q(z).
4*z**2*(z + 1)*(z + 2)**2/5
Let l(u) be the second derivative of -u**7/21 + u**6/3 - 9*u**5/10 + 7*u**4/6 - 2*u**3/3 - 2*u. Factor l(j).
-2*j*(j - 2)*(j - 1)**3
Let n be ((-263)/(-2))/((-15)/6). Let s = n - -53. Factor -6/5*x - s*x**2 - 4/5.
-2*(x + 1)*(x + 2)/5
Let k(d) = d**4 - 1. Let z be -2*(-3)/(9/12). Let v(a) = 0 - a**3 - 6 - a**4 + z*a**4 + a - a**2. Let g(b) = -6*k(b) + v(b). Factor g(u).
u*(u - 1)**2*(u + 1)
Let p be (20/12)/((-6)/(-18)). Let -2/3*i**3 + 0*i - i**4 + 0 - 1/3*i**p + 0*i**2 = 0. What is i?
-2, -1, 0
Let v(f) be the first derivative of -f**7/2100 + f**6/540 - f**5/900 - f**4/180 + f**3 - 1. Let n(b) be the third derivative of v(b). What is d in n(d) = 0?
-1/3, 1
Let c(l) = -l**3 + 30*l**2 - l + 33. Let q be c(30). Factor 0 - 2/9*n**q + 4/9*n + 2/9*n**2.
-2*n*(n - 2)*(n + 1)/9
Let c(f) be the second derivative of -f**6/210 + 3*f**5/140 - f**4/84 - f**3/14 + f**2/7 + 5*f. Let c(i) = 0. What is i?
-1, 1, 2
Let a(s) be the first derivative of s**6/6 + 2*s**5/5 - 2*s**3/3 - s**2/2 - 10. Factor a(c).
c*(c - 1)*(c + 1)**3
Let w(n) be the second derivative of 5*n**4/12 - 5*n**3/6 - 5*n**2 - 25*n. Find x such that w(x) = 0.
-1, 2
Suppose 0*q**2 + 0 - 1/5*q**5 + 1/5*q**4 + 0*q + 2/5*q**3 = 0. What is q?
-1, 0, 2
Let v(d) be the third derivative of -d**5/90 - d**4/36 + 2*d**3/9 - 5*d**2. What is m in v(m) = 0?
-2, 1
Let d(v) = -v - 5. Let x be d(-5). Let t be -5*(x - (-2)/(-15)). Factor -t*g**4 + 0 + 1/3*g + 2/3*g**2 + 0*g**3 - 1/3*g**5.
-g*(g - 1)*(g + 1)**3/3
Let m(f) = f**3 + f**2 - f - 1. Let c(a) be the third derivative of -a**6/40 - a**5/12 + a**4/12 + 2*a**3/3 + 2*a**2. Let t(p) = c(p) + 4*m(p). Factor t(k).
k*(k - 2)*(k + 1)
Let k be 1*(1 - 2) - -1. Suppose n + k*n - 3*v = 0, -2*n - 4*v = -10. Let x - 4*x**2 + 6*x**2 - n*x**2 = 0. Calculate x.
0, 1
Let k(o) = o**4 + o**3 - o. Suppose 4*w = 8*w - 8. Let b(f) = f**5 + 5*f**3 - 3*f. Let g(j) = w*b(j) - 6*k(j). Factor g(n).
2*n**3*(n - 2)*(n - 1)
Suppose -14 = -5*u + 1. Let f be u - -2 - (1 + 0). Solve 2*y**3 - 4 + 2*y + f*y**2 + 4 = 0.
-1, 0
Let j(i) = 2*i**2 - 7*i + 8. Let z be j(2). Factor 1/5*q**z + 4/5 - 4/5*q.
(q - 2)**2/5
Let t = 14579/25 + -583. Let r(b) be the first derivative of -7/10*b**4 - b**2 - t*b**5 - 6/5*b**3 - 2/5*b + 1. Solve r(g) = 0.
-1, -1/2
Let f(p) be the third derivative of -p**7/735 + p**6/70 - 2*p**5/35 + 5*p**4/42 - p**3/7 - 15*p**2. Solve f(k) = 0 for k.
1, 3
Let b = 2091/7 + -6910/21. Let h = b + 31. Factor -h*j + 0 + 0*j**2 + 2/3*j**3.
2*j*(j - 1)*(j + 1)/3
Let m = -338 - -340. Factor 2/3*c**3 + 1/3*c**m + 0 + 0*c + 1/3*c**4.
c**2*(c + 1)**2/3
Let z be (3/(-3) - -19)*1. Let t = z - 11. Solve 7 + x**3 - x - t = 0 for x.
-1, 0, 1
Suppose -4*u + 4*b - 10 + 26 = 0, u = -b + 4. Suppose 0 = -3*q + u + 2. Solve o - 4*o + 4*o**2 - o**q + 0*o**2 = 0.
0, 1
Let p be (-5)/(-1) - 299/65. Factor 8/5 - 8/5*v + p*v**2.
2*(v - 2)**2/5
Let q(a) = 24 - 35 - 16*a**2 + 5*a + 5*a. Let r(z) = 3*z**2 - 2*z + 2. Suppose 110 = 3*x + 2*x. Let o(h) = x*r(h) + 4*q(h). Let o(l) = 0. Calculate l.
0, 2
Suppose 4*h - h - 5 = -d, -4*h = 4*d - 20. Let c(i) be the third derivative of -1/9*i**3 + 0 + 1/90*i**5 + 2*i**2 + h*i + 0*i**4. Find r, given that c(r) = 0.
-1, 1
Suppose 1/5*z**3 + 1/5*z**4 + 0*z + 0*z**2 + 0 = 0. Calculate z.
-1, 0
Solve 6*q + 153*q**2 - 5 - 158*q**2 + 4*q = 0 for q.
1
Suppose -1 = 4*w - 9. Let g(x) be the first derivative of 0*x**4 + 0*x**w + 1/5*x - 3 - 2/15*x**3 + 1/25*x**5. Factor g(m).
(m - 1)**2*(m + 1)**2/5
Let a be (-5)/(75/6) + 3/5. Solve -3/5*s - 2/5*s**2 - a = 0.
-1, -1/2
Let q = -396 + 23761/60. Let z(p) be the third derivative of 0*p + 0*p**3 + 1/24*p**4 - q*p**5 + 0 - 3*p**2. Suppose z(j) = 0. What is j?
0, 1
Determine w, given that 18*w - 8 - 14*w + 8 - 4*w**3 = 0.
-1, 0, 1
Let j = -15 - -17. Let r(m) be the first derivative of -j*m**3 + 2 - m**2 + 1/2*m**4 + 2*m + 4/5*m**5. Factor r(p).
2*(p - 1)*(p + 1)**2*(2*p - 1)
Let t(i) be the first derivative of 4/7*i - 2 + 3/7*i**4 - 8/21*i**3 - 3/7*i**2 - 1/7*i**6 + 4/35*i**5. Let t(f) = 0. What is f?
-1, 2/3, 1
Let y be 3 - (231/10 + 4). Let c = y + 49/2. Factor 0*s - 2/5*s**4 + 0 + 2/5*s**2 - 2/5*s**5 + c*s**3.
-2*s**2*(s - 1)*(s + 1)**2/5
Let z(h) be the first derivative of 2*h**5/35 + 3*h**4/14 + 2*h**3/7 + h**2/7 - 7. Let z(j) = 0. What is j?
-1, 0
Let w = 8 + -2. Let p be (8/w)/((-14)/(-21)). Factor 2/3 + 20/3*o**3 + 10/3*o + 2/3*o**5 + 10/3*o**4 + 20/3*o**p.
2*(o + 1)**5/3
Let m be 1 + (6/1)/1. Let x(f) = -5*f**2 + 15*f + 8. Let g(h) = 2*h**2 - 7*h - 4. Let t(c) = m*g(c) + 3*x(c). Factor t(a).
-(a + 2)**2
Suppose -5*u + 5 = -10. Suppose -2*s - 2 = -u*s. Determine q, given that 3*q**3 - 4*q**3 + 3*q**3 - 2*q**s - 4*q = 0.
-1, 0, 2
Determine o so that 64 + 13*o**2 + 48*o**2 + 39*o**2 + 160*o = 0.
-4/5
Let h(x) be the first derivative of 8*x**3/3 - 25*x**2 + 12*x + 7. Factor h(n).
2*(n - 6)*(4*n - 1)
Factor 4*h**3 - 1 - 2 - 8*h + 4*h**2 + 3.
4*h*(h - 1)*(h + 2)
Let b(y) be the third derivative of y**6/1260 + y**5/420 - y**3/6 + y**2. Let n(f) be the first derivative of b(f). Factor n(l).
2*l*(l + 1)/7
Suppose u + 1 = 5. Let x(m) be the second derivative of -23/30*m**5 - 4/27*m**3 - 25/189*m**7 + 0 + 2*m - 14/27*m**6 + 0*m**2 - 14/27*m**u. Factor x(o).
-2*o*(o + 1)**2*(5*o + 2)**2/9
Factor 6 - 14*a**2 + a - 3*a**4 + 23*a**2 + 11*a + 3*a - 3*a**3.
-3*(a - 2)*(a + 1)**3
Let a(u) be the second derivative of -u**6/30 + u**5/10 - u**3/3 + u**2/2 + 2*u. Suppose a(p) = 0. Calculate p.
-1, 1
Suppose -b + 24 = 3*b. Let p(o) be the first derivative of -28/3*o**3 - 18/5*o**5 - 2/3*o**b - 2*o - 8*o**4 - 6*o**2 + 4. Find c, given that p(c) = 0.
-1, -1/2
Factor -1172*l**2 + 12*l + 28*l - 100 + 1168*l**2.
-4*(l - 5)**2
Let t(f) be the third de