j + 2. Let u(n) = -n**3 + 5*n**2 - 4*n + 5. Let r(m) = 10*o(m) - 4*u(m). Factor r(b).
-2*b*(b - 1)*(3*b - 2)
Find y such that y**5 - 9*y**2 + 9*y**4 - 3*y**3 - y**5 + 6*y**3 + 3*y**5 - 6*y = 0.
-2, -1, 0, 1
Let u = 5 + -2. Suppose 0 = u*j + j - 40. Factor 18*g**2 - 4*g**3 + j*g**4 - 11*g**3 - 4*g - 9*g**3.
2*g*(g - 1)**2*(5*g - 2)
Let q be (-9)/(-6)*2 - 2. Let t = 3 - q. Factor -4*p**4 - p**2 + 3*p**2 + t*p**4.
-2*p**2*(p - 1)*(p + 1)
Suppose 0 = -a + k + 8, -3*a + 16 = 2*a + k. Suppose -5*n - 2 = -4*m + 4, -a*n + 5*m = 12. Factor 0*f - 2 - f**2 - 2*f**n + f**3 + 5*f - f**2.
(f - 2)*(f - 1)**2
Let 5*r**5 - 126*r**3 - 33*r**4 - 188*r**2 + 30*r**2 - 4*r**2 - 8*r**5 + 81*r + 243 = 0. Calculate r.
-3, 1
Determine j so that 4/3*j - 2/9*j**2 - 2 = 0.
3
Find z such that -2 + 5 + 2 + 30*z**3 - 30*z - 5*z**2 = 0.
-1, 1/6, 1
Let k be (-3)/(-2) - (-1)/2. Find r such that 3 + 2*r**3 - 5*r**k + r**2 - 3 + 2*r = 0.
0, 1
Factor -44/5*p**3 + 156/5*p**2 + 56/5 - 4/5*p**4 - 164/5*p.
-4*(p - 1)**3*(p + 14)/5
Let v(m) = -m**4 - m**3 + m**2 + m - 1. Let f(a) = -6*a**4 - 3*a**3 + 5*a**2 + 3*a - 4. Let w(b) = -f(b) + 5*v(b). Factor w(s).
(s - 1)**3*(s + 1)
Suppose -26*u + 28*u - 2*u**2 + 10*u**4 - 14*u**3 - 2*u**5 + 14*u - 8 = 0. What is u?
-1, 1, 2
Let m(r) = -r**3 + r**2 + 1. Let i(w) be the third derivative of -w**6/60 - w**5/10 + w**4/4 + 11*w**3/3 - 2*w**2. Let y(p) = -i(p) + 4*m(p). Factor y(n).
-2*(n - 3)**2*(n + 1)
Find f such that 0*f**2 - 5/4*f**4 + 0 + 0*f + 5/4*f**3 = 0.
0, 1
Let g be ((-12)/14)/(6/(-42)). Suppose -i + g = 2. Solve -2 - 36*x**i + 44*x**3 + 10*x**4 + 14*x + 6*x**5 + 0*x**5 - 36*x**2 = 0 for x.
1/3, 1
Let t(s) be the second derivative of s**6/1260 + s**5/140 + s**4/42 + s**3/6 + 3*s. Let o(h) be the second derivative of t(h). Factor o(v).
2*(v + 1)*(v + 2)/7
Let h = -136 + 240. Factor -h + 3*g**2 + 104.
3*g**2
Let h(o) be the second derivative of -o**8/3360 + o**7/840 - o**5/120 + o**4/48 + o**3/3 + 5*o. Let k(z) be the second derivative of h(z). Factor k(f).
-(f - 1)**3*(f + 1)/2
Let g be (-2)/6 - 889/15. Let x = g + 60. Factor -2/5*p**2 + 0*p + x*p**3 + 0.
2*p**2*(p - 1)/5
Let b(m) be the second derivative of m**6/30 - m**5/80 - m**4/4 + 11*m**3/24 - m**2/4 + 5*m. Factor b(s).
(s - 1)**2*(s + 2)*(4*s - 1)/4
Let x(s) be the third derivative of -s**6/280 - s**5/70 + 15*s**2. Suppose x(m) = 0. Calculate m.
-2, 0
Let z = 19 + -20. Let r = -1 - z. Factor r - 2/3*m**2 + 0*m + 1/3*m**3.
m**2*(m - 2)/3
Let j(p) be the third derivative of 1/48*p**4 - 4*p**2 + 1/120*p**5 + 0 + 0*p + 0*p**3. Factor j(d).
d*(d + 1)/2
Let f(v) be the second derivative of -1/63*v**7 + 0*v**3 + 0 + 1/18*v**4 + 1/12*v**5 + 0*v**2 + 1/90*v**6 + v. Suppose f(n) = 0. What is n?
-1, -1/2, 0, 2
Let m(i) be the first derivative of 0*i - 4/5*i**5 + 0*i**4 + 4 - 1/3*i**6 + 4/3*i**3 + i**2. Factor m(p).
-2*p*(p - 1)*(p + 1)**3
Let u(m) = -m**2 - 3*m + 2. Let s be u(-2). Suppose 3*g = s + 5. Determine q, given that 4/7*q + 0 - 2/7*q**g + 2/7*q**2 = 0.
-1, 0, 2
Let x be 0 + 1 + -5 - 714/(-168). Factor -1/4*m**3 - 3/4 + x*m + 3/4*m**2.
-(m - 3)*(m - 1)*(m + 1)/4
Find j, given that -6 + 30*j**4 + 2*j**5 - 75*j**2 - 51*j**4 - 6 - 48*j - 57*j**3 - 5*j**5 = 0.
-2, -1
Let g(i) be the third derivative of i**5/360 - i**4/72 - i**3/12 + 5*i**2. What is p in g(p) = 0?
-1, 3
Let w be (384/(-162) + 2)*(-12)/10. Factor w*c**3 - 2/9*c**5 + 0 + 0*c**4 - 2/9*c + 0*c**2.
-2*c*(c - 1)**2*(c + 1)**2/9
Let u be 0/2*(-4)/(-12). Let s be u/(-4 - 0/(-2)). Suppose 0*q**3 + q**5 + 1/2*q**2 - 3/2*q**4 + 0*q + s = 0. Calculate q.
-1/2, 0, 1
Let o be (0 - (-1)/10)*(19 - 3). Let h = -2 - -5. Let -2/5*d**h + o*d**2 + 4/5 - 2*d = 0. Calculate d.
1, 2
Let j(n) be the third derivative of n**6/120 + n**5/15 + n**4/8 + 13*n**2. Determine p so that j(p) = 0.
-3, -1, 0
Let x(v) be the third derivative of v**7/630 + v**6/60 + 11*v**5/180 + v**4/12 + 53*v**2. What is u in x(u) = 0?
-3, -2, -1, 0
Let j(k) = k**3 + 8*k**2 - 9*k + 2. Let w be j(-9). Suppose w*z - 6 = -2. Let -z*q + 2*q + q - 2*q**2 - 3*q**3 = 0. What is q?
-1, 0, 1/3
Let x be (-5)/(-15)*9 + 0. Let l(m) be the third derivative of 0*m + 1/6*m**x - 1/12*m**4 - m**2 + 0 + 1/60*m**5. Let l(s) = 0. What is s?
1
Let d(r) be the third derivative of -r**6/900 + r**4/60 + 2*r**3/45 - 32*r**2. Factor d(i).
-2*(i - 2)*(i + 1)**2/15
Find l such that 0 + 2/7*l**4 + 2/7*l + 6/7*l**2 + 6/7*l**3 = 0.
-1, 0
Suppose -2*q = -q - 5*q. Factor 1/5*n**5 - 1/5*n**3 + 1/5*n**2 + q + 0*n - 1/5*n**4.
n**2*(n - 1)**2*(n + 1)/5
Let r = 23 + -20. Solve -l - 15*l**r + 2*l + 6*l**4 - 4*l + 12*l**2 = 0 for l.
0, 1/2, 1
Let u(o) be the first derivative of 14*o**3/3 - 12*o**2 - 8*o - 9. Factor u(m).
2*(m - 2)*(7*m + 2)
Find g such that 2 - 19*g - 3*g**3 - 30*g**2 - 2 - 56*g = 0.
-5, 0
Let t be 5 - (-3 - (-13)/2). Factor -t*h**5 + 0 + 6*h**2 + 6*h**4 - 3/2*h - 9*h**3.
-3*h*(h - 1)**4/2
Let w(p) be the first derivative of -2*p**7/105 + p**6/40 + p**5/60 + p**2/2 - 2. Let h(l) be the second derivative of w(l). Factor h(a).
-a**2*(a - 1)*(4*a + 1)
Let q(x) be the first derivative of x**4 - 4*x**3/3 - 8*x**2 + 16*x + 37. What is k in q(k) = 0?
-2, 1, 2
Let j(w) = 2*w**2 + 3*w + 3. Let b(p) = 9*p**2 + 13*p + 13. Let n(g) = -g**2 - 13*g - 4. Let m be n(-10). Let c(o) = m*j(o) - 6*b(o). Let c(h) = 0. Calculate h.
0
Let a be 2 - (-2 - -2)/3. Let n(w) be the second derivative of 1/20*w**5 - 1/6*w**3 + 1/12*w**4 + 0*w**a + 0 - 2*w - 1/30*w**6. Solve n(i) = 0.
-1, 0, 1
Find n such that -20*n**5 - 2*n**3 - 13*n**5 + 6*n + 34*n**5 - 5*n = 0.
-1, 0, 1
Solve 1/5*a + 0 + 0*a**2 - 1/5*a**3 = 0 for a.
-1, 0, 1
Suppose -2*h + 4*h - 7 = -3*t, 2 = -2*h. Let n(p) be the first derivative of -4*p - t*p**2 + 2 - 2/3*p**3. Suppose n(u) = 0. What is u?
-2, -1
Factor -2/9*p**3 - 2/3*p + 2/9 + 2/3*p**2.
-2*(p - 1)**3/9
Let m(i) = -i**2 - 3*i. Let s be m(-5). Let l be (-2)/(5/(s/4)). Suppose -2*p**2 + l - 2*p**3 - 1 = 0. What is p?
-1, 0
Let o(r) be the second derivative of 15*r**5/14 - 55*r**4/14 - 8*r**3 - 36*r**2/7 + 39*r. Factor o(b).
6*(b - 3)*(5*b + 2)**2/7
Let o be (-4)/3*9/(-6). Suppose 10 = 4*v - 6. Factor -w**3 + v*w**4 + 2*w**2 - 6*w**o - w + 2*w**3.
w*(w - 1)*(w + 1)*(4*w + 1)
Suppose 7*p**3 - 6*p**5 + 8*p**5 + 3*p**5 + 11*p**4 + p**2 = 0. What is p?
-1, -1/5, 0
Let 26*z + 80 - 66*z - 6*z**3 - 35*z**2 + z**3 = 0. Calculate z.
-4, 1
Let h(m) be the first derivative of -m**5/5 + 2*m**4 - 22*m**3/3 + 12*m**2 - 9*m - 5. Determine z, given that h(z) = 0.
1, 3
Let o be 2 - ((1 - 0) + -2). Suppose 4 = o*k - 2. Factor k*f**3 + f**3 - 2*f**5 - 2*f**4 + f**3.
-2*f**3*(f - 1)*(f + 2)
Let z be -2 + 12/7 + (-77)/(-98). Factor -z*y**3 + 0*y - y**2 + 3/2*y**5 + 2*y**4 + 0.
y**2*(y + 1)**2*(3*y - 2)/2
Suppose -2*w - 2*q = -3 - 3, -5*q + 11 = 4*w. Suppose 2/7*l + 4/7*l**2 + 2/7*l**5 - 2/7 - 2/7*l**w - 4/7*l**3 = 0. What is l?
-1, 1
Let c(q) be the first derivative of 8*q**3/3 - 5*q**2/2 - 3*q + 13. Factor c(g).
(g - 1)*(8*g + 3)
Let b(p) = -p**3 - p**2 - p + 2. Let i be b(0). Let t be 0/13 + 4/6. Find m such that 0 + 2/3*m - t*m**4 + 2*m**3 - 2*m**i = 0.
0, 1
Let j(t) be the first derivative of t**6/12 + t**5/15 - t**4/4 - 2*t**3/9 + t**2/4 + t/3 - 4. Suppose j(v) = 0. Calculate v.
-1, -2/3, 1
Let b(u) = u**2 + 8*u + 10. Let a be b(-13). Factor 12*r - 9*r**3 + 14*r**4 - 31*r**3 - 5*r**4 + a*r**4 - 24*r**2 - 36*r**5 + 4.
-4*(r - 1)**3*(3*r + 1)**2
Let a = -7 - -9. Suppose 2*v**a + 2*v**4 - 2*v**4 + 0 - v**4 - 1 = 0. Calculate v.
-1, 1
Let c(s) = 14*s**3 - 22*s**2 + 6*s + 2. Let k(j) = 43*j**3 - 67*j**2 + 17*j + 7. Let i(h) = -7*c(h) + 2*k(h). Find o such that i(o) = 0.
0, 2/3, 1
Let c be (-52)/(-42) - (-4)/(-7). Suppose c*a + 2/3*a**2 + 0 = 0. What is a?
-1, 0
Let d(w) = w + 2. Let c be d(-2). Factor 2/3*i**2 + c + 2/3*i.
2*i*(i + 1)/3
Let 0*w + 6/5*w**2 + 0 - 6/5*w**3 = 0. What is w?
0, 1
Factor -5*i**4 - 3*i**3 - 2*i**3 + i**2 + 9*i**2.
-5*i**2*(i - 1)*(i + 2)
Let p = -2603/3 + 868. Let -p + 1/3*m**2 + 0*m = 0. What is m?
-1, 1
Determine v so that 0 + 0*v + 4/7*v**2 + 2/7*v**3 = 0.
-2, 0
Let v(z) be the second derivative of z**6/6 + 3*z**5/4 - 5*z**4/2 - 70*z**3/3 - 60*z**2 + 17*z. Determine n, given that v(n) = 0.
-2, 3
Factor -1/6*h**2 - 3/2 + h.
-(h - 3)**2/6
Let s = 10 - 6. Factor z**s - z**5 + 2*z**4 - 3*z**4.
-z**