)/(-1). Let -1/5*j + p*j**2 + 0 = 0. Calculate j.
0, 1
Find j, given that 4/11*j**2 - 2/11*j**3 + 0 - 2/11*j = 0.
0, 1
Suppose 0 = f - 6*f + 20, -4*f = -4*u. Find r, given that 0*r**2 - 1/2*r + 1/4*r**u - 1/4 + 1/2*r**3 = 0.
-1, 1
Let f(b) = 6*b**5 + 27*b**4 - 15*b**3 - 9*b**2 + 9. Let l(u) = -3*u**5 - 14*u**4 + 8*u**3 + 4*u**2 - 5. Let k(d) = 5*f(d) + 9*l(d). Factor k(g).
3*g**2*(g - 1)*(g + 1)*(g + 3)
Let l(a) be the third derivative of -a**5/60 - a**4/6 + 5*a**3/6 + 34*a**2. Suppose l(t) = 0. Calculate t.
-5, 1
Let k(v) = -5*v**3 + v**2 - 6*v + 6. Let i(y) = -11*y**3 + 2*y**2 - 13*y + 13. Let g(s) = -6*i(s) + 13*k(s). Determine d, given that g(d) = 0.
-1, 0
Let s be 14/(-77) - 34/(-66). Factor -1/3 + s*j**4 + 2/3*j**3 - 2/3*j + 0*j**2.
(j - 1)*(j + 1)**3/3
Factor -1/4*h**2 + 1 + 3/4*h.
-(h - 4)*(h + 1)/4
Let v(p) = p**2 + 7*p + 3. Suppose 0*y = 5*y - 5*g + 60, 41 = -3*y + 4*g. Let s be v(y). Solve -2/7*o + 4/7 - 4/7*o**2 + 2/7*o**s = 0 for o.
-1, 1, 2
Let x be 2/(-2)*(-5 + 0). Let y(c) be the second derivative of 0 + 3/10*c**x + 0*c**2 + 0*c**4 - 1/14*c**7 - 1/10*c**6 + 4*c + 0*c**3. Factor y(d).
-3*d**3*(d - 1)*(d + 2)
Let m = 1 - -4. Let r(n) be the second derivative of 0*n**4 + 1/4*n**2 + 1/10*n**m + 0 + n - 1/4*n**3. Factor r(u).
(u + 1)*(2*u - 1)**2/2
Suppose -3*n + 2*h + 8 = 0, -5*n - 3*h + 5*h = -8. Suppose 4*z - 5 = -2*r + 1, n = -r + 3. Factor z*g - 1/2*g**4 + 0*g**3 + 0 + 1/2*g**2.
-g**2*(g - 1)*(g + 1)/2
Determine o, given that 4/15 + 2/15*o - 2/15*o**2 = 0.
-1, 2
Suppose 0 = -z + 19 + 5. Let k be (z/(-18))/((-2)/3). Solve -1/3*s**k + 0 + 0*s = 0.
0
Suppose 0 = -0*u - 0*u - u. Factor -7/3*c**4 + u*c**2 + 2/3*c**3 - 3*c**5 + 0 + 0*c.
-c**3*(c + 1)*(9*c - 2)/3
Factor 27 - 58 + t**2 + 28 + 10*t - 8*t.
(t - 1)*(t + 3)
Find l such that -14 - 7 + l**2 + 48 + 37 - 16*l = 0.
8
Let a(f) be the second derivative of f**5/5 + 2*f**4 + 6*f**3 + 8*f**2 + 3*f + 5. Factor a(v).
4*(v + 1)**2*(v + 4)
Solve 10 - 10*y**2 - 3*y - 568*y**3 + 8*y + 563*y**3 = 0.
-2, -1, 1
Let n = 989/5 - 197. Let v = n - 18/35. Find o, given that -v*o**2 + 0*o + 0 = 0.
0
Let t(r) = -5*r**2 + 3*r**2 - 2 + 5 + 4*r. Let k(j) = 3*j**2 - 6*j - 4. Let q(v) = 5*k(v) + 7*t(v). Factor q(w).
(w - 1)**2
Let r(o) be the third derivative of 0 + 0*o + 0*o**4 + 4*o**2 + 1/90*o**5 + 0*o**3. Determine z, given that r(z) = 0.
0
Factor 1/3*b**2 + 1/3*b**3 - 1/3 - 1/3*b.
(b - 1)*(b + 1)**2/3
Let u(j) = j**2 + 10*j + 23. Let k be u(-7). Let c = 1/15 - -13/30. Find f such that c*f - 1/4*f**k - 1/4 = 0.
1
Let i(u) be the second derivative of -1/2*u**3 - 3*u + 0 + 0*u**2 - 1/12*u**4. Find l such that i(l) = 0.
-3, 0
Let i be (10 + -10)/(-1 - -2). Let y(v) be the second derivative of 0*v**2 + 0 + i*v**3 - 1/6*v**4 + v. Determine g, given that y(g) = 0.
0
Let x(z) = -5*z**2 + 4*z + 4. Let i(u) = -5*u**2 + 5*u + 5. Let y(o) = -4*i(o) + 5*x(o). Determine k so that y(k) = 0.
0
Let f be 52/14 + (-6)/(-21). Factor -2*x**2 + 2*x - 4*x + f*x.
-2*x*(x - 1)
Let y(r) be the first derivative of -3*r - 1 + 3/8*r**4 - 3/2*r**3 - 15/4*r**2 + 3/10*r**5. Solve y(m) = 0.
-1, 2
Let q be ((-4)/(-5))/(-2 - -4). Let a = -1566/35 - -330/7. Solve a*d - 18/5 - q*d**2 = 0 for d.
3
Let s(m) be the third derivative of m**6/120 - m**5/30 - m**4/24 + m**3/3 - m**2 - 7*m. Let s(p) = 0. What is p?
-1, 1, 2
Let i(b) be the first derivative of 2*b**5/35 - b**4/7 - 2*b**3/21 + 2*b**2/7 + 18. Let i(p) = 0. Calculate p.
-1, 0, 1, 2
Factor 1/3*n**4 + 0 + 4/3*n**2 + 0*n - 4/3*n**3.
n**2*(n - 2)**2/3
Let g(t) = -t**2 - 7*t - 6. Let a be g(-6). Let d(y) be the second derivative of -3/2*y**2 + a + 1/2*y**3 + 1/2*y**4 - 2*y. Suppose d(h) = 0. What is h?
-1, 1/2
Let c be 1*(-3)/(-6)*-2. Let y(p) = p**2 + 2*p + 1. Let k be y(c). Suppose -4*x + 0*x**2 + k*x**2 + 2*x - 2*x**3 + 4*x**2 = 0. Calculate x.
0, 1
Suppose -4*d - 14 = -j, 4 = -5*d - 5*j - 26. Let l = -1 - d. Solve -s + s**l - 2*s**3 + 2*s = 0 for s.
-1, 0, 1
Let g(m) be the second derivative of -2*m**7/105 - 3*m**6/50 - 3*m**5/50 - m**4/60 + 16*m. Factor g(b).
-b**2*(b + 1)**2*(4*b + 1)/5
Let o = -47 + 47. Let s(u) be the third derivative of 0 + o*u**4 + 1/18*u**3 + 0*u - 1/180*u**5 + u**2. Find q, given that s(q) = 0.
-1, 1
Let b(q) be the first derivative of -q**4/4 + 3*q**2/2 - 3*q - 3. Let o(y) be the first derivative of b(y). Factor o(k).
-3*(k - 1)*(k + 1)
Let j = 763/935 - 3/187. Factor -6/5*a**4 + 4/5*a**3 - 6/5*a + j*a**2 + 2/5*a**5 + 2/5.
2*(a - 1)**4*(a + 1)/5
Let f(s) = -2*s**2 + 12*s + 21. Let z(x) = -x**2 + 6*x + 11. Let j(p) = -4*f(p) + 7*z(p). Factor j(h).
(h - 7)*(h + 1)
Let h(f) be the third derivative of 2/15*f**5 + 3*f**2 - 4/105*f**7 + 0*f**3 - 1/60*f**6 + 0 + 1/12*f**4 + 0*f. Let h(s) = 0. Calculate s.
-1, -1/4, 0, 1
Let 26*t**3 - 2 - 25*t**3 + 2 = 0. Calculate t.
0
Let p(u) be the second derivative of 2/15*u**4 + 0*u**2 - u + 4/75*u**6 + 1/105*u**7 + 0 + 1/15*u**3 + 3/25*u**5. Factor p(f).
2*f*(f + 1)**4/5
Suppose -3*g + 7*f = 2*f - 2, 0 = -2*g - 4*f + 16. Suppose g = 4*s - 3*s. Factor -2*k**3 - 4*k**s + 26*k - 26*k - 2*k**5.
-2*k**3*(k + 1)**2
Let i(l) = 15*l**3 - 15*l**2 - 39*l - 9. Let u(y) = -3*y**3 + 3*y**2 + 8*y + 2. Let b(h) = -5*i(h) - 24*u(h). Determine t so that b(t) = 0.
-1, 1
Let w(v) be the third derivative of -1/60*v**5 - 6*v**2 + 1/3*v**3 + 0*v + 0 - 1/24*v**4. What is n in w(n) = 0?
-2, 1
Let o be 16/(-15)*(2 + (-36)/8). Factor -16/3*x - 2/3*x**3 + 10/3*x**2 + o.
-2*(x - 2)**2*(x - 1)/3
Suppose o = -4*b - 13 + 1, 12 = -4*o - 4*b. Suppose -5*m - 5*f + o*f = -35, m - 4*f + 18 = 0. Let 2/5*s + 0 - 2/5*s**m = 0. Calculate s.
0, 1
Suppose -16 = 3*i + 3*a + 2*a, 2*a - 2 = -4*i. Factor -4*p**3 + 6*p + 12*p - 6*p + 3*p**4 - 5*p**i.
3*p*(p - 2)**2*(p + 1)
Suppose 4*s = 0, -3*k - 2*s = -s - 15. Suppose 27 = -z + 4*z - 4*t, -4*t = -k*z + 37. Factor -d**2 + z*d - 5*d.
-d**2
Let p be (-3)/4 + (-413)/(-556). Let l = 829/695 - p. Determine d so that -l*d**3 + 6/5*d + 3/5 - 3/5*d**4 + 0*d**2 = 0.
-1, 1
Suppose 15 = 4247*n - 4242*n. Factor 2/3*v**n - 4/3*v**2 - 8/3 - 14/3*v.
2*(v - 4)*(v + 1)**2/3
Factor -64 + 32*y - y**2 + 0*y**2 - y**2 - 2*y**2.
-4*(y - 4)**2
Let a(o) be the second derivative of 5*o**7/42 + 21*o**6/10 + 149*o**5/20 - 105*o**4/4 + 49*o**3/3 + o + 48. Find n, given that a(n) = 0.
-7, 0, 2/5, 1
Let u(g) be the first derivative of -3*g**5/5 - 15*g**4/4 - 8*g**3 - 6*g**2 + 70. Factor u(x).
-3*x*(x + 1)*(x + 2)**2
Suppose -3*x - j = 2*j, -4*x + 4*j = -16. Suppose 0*d + 8 = 4*d. Solve x*h + d*h**3 + 1/2 + 3*h**2 + 1/2*h**4 = 0 for h.
-1
Factor 0*j + 2/3*j**2 - 8/9 + 2/9*j**3.
2*(j - 1)*(j + 2)**2/9
Let j(d) be the first derivative of 2*d**5/5 + 9*d**4/5 + 34*d**3/15 - 8*d/5 + 27. Find a such that j(a) = 0.
-2, -1, 2/5
Factor 575*s**2 - 575*s**2 + 4*s**3 - 4*s.
4*s*(s - 1)*(s + 1)
Let c(p) be the second derivative of p**6/40 - 9*p**5/80 + p**4/16 + 3*p**3/8 - 3*p**2/4 + 4*p. Find n such that c(n) = 0.
-1, 1, 2
Let k(s) = 4*s**4 - 16*s**3 + 20*s**2 - 11*s + 3. Let o(m) = 36*m**4 - 144*m**3 + 180*m**2 - 100*m + 28. Let y(f) = 28*k(f) - 3*o(f). Solve y(x) = 0 for x.
0, 1, 2
Let 141*w**2 - 138*w**2 + 2*w + w = 0. What is w?
-1, 0
Let b = 11/12 - -79/12. Determine k, given that 3/2*k**3 + b*k + 3 + 6*k**2 = 0.
-2, -1
Factor 10/17*c - 12/17 - 2/17*c**2.
-2*(c - 3)*(c - 2)/17
Let t be 73 + -70 + (-38)/14. Solve 0 - 4/7*r**2 + t*r + 2/7*r**3 = 0 for r.
0, 1
Let s(m) be the first derivative of -m**7/14 + m**6/10 + 3*m**5/20 - m**4/4 + 4*m + 4. Let b(v) be the first derivative of s(v). Solve b(o) = 0.
-1, 0, 1
Let s = -20 + 8. Let w be s/10*40/(-72). Find p such that w*p - 8/9*p**2 + 2/9 = 0.
-1/4, 1
Let a be (440/(-219) - -2)/2. Let p = a + 1319/1095. Factor -3/5*c**2 + p - 3/5*c.
-3*(c - 1)*(c + 2)/5
Solve 0*a + 0 + 0*a**2 + 3*a**3 - 27/2*a**5 + 21/2*a**4 = 0.
-2/9, 0, 1
Suppose -4*i + 2*i = -3*a - 2, 4*a + 31 = -3*i. Let w = i - -8. Factor -s**3 - s**w + s**2 - s**2.
-2*s**3
Let o(z) be the second derivative of z**5/10 - z**4/6 - z**3/3 + z**2 + 5*z. Let o(c) = 0. What is c?
-1, 1
Let 19/4*v + 361/8 + 1/8*v**2 = 0. Calculate v.
-19
Let p = 1 - 1. Suppose p = -5*b + 1 + 19. Determine j, given that 0*j + 2*j + 0 + b - 2*j**2 = 0.
-1, 2
Let h(i) be the second derivative of -i**7/21 + i**5/10 + 10*i. Factor h(n).
-2*n**3*(n - 1)*(n + 1)
Suppose 7*v**4 - 