 Factor 14/9*n**4 + 2/9*n**5 - 32/9*n**2 + 0*n + w + 16/9*n**3.
2*n**2*(n - 1)*(n + 4)**2/9
Let o(k) be the first derivative of -33*k**3 - 54*k**4 + 33/2*k**2 + 5 - 12*k**5 + 18*k. Solve o(z) = 0 for z.
-3, -1/2, 2/5
Let q(d) be the second derivative of d**6/20 + d**5/5 + d**4/4 - d**2/4 + 24*d - 3. Suppose q(r) = 0. Calculate r.
-1, 1/3
Let c = -174 + 176. Let a(b) be the second derivative of 0*b**c + 1/2*b**3 + 0*b**5 + 0 + 1/5*b**6 - 1/2*b**4 - 1/14*b**7 - 3*b. Let a(q) = 0. What is q?
-1, 0, 1
Suppose 9*z - 116 = -98. Let g(k) be the first derivative of -32/13*k - 8 + 16/13*k**z - 2/13*k**4 + 0*k**3 + 2/65*k**5. Solve g(y) = 0 for y.
-2, 2
Let n(d) be the second derivative of -d**6/40 + 9*d**5/40 - d**4/16 - 3*d**3 - 6*d**2 - 8*d + 2. Factor n(c).
-3*(c - 4)**2*(c + 1)**2/4
Solve 56*c - 31/4*c**2 + 64 + 1/4*c**3 = 0.
-1, 16
Let p(c) be the first derivative of 2/3*c**3 + 1/3*c**4 - 2/3*c**2 + 0*c + 2. What is u in p(u) = 0?
-2, 0, 1/2
Let 24*i - 274*i**4 + 160*i**4 - 164*i**2 + 266*i**3 + 163*i**4 = 0. What is i?
-6, 0, 2/7
Factor -2*h**2 - 4*h**2 + h**2 - 3756*h - 480 + 3581*h.
-5*(h + 3)*(h + 32)
Factor 44*i + 38*i**2 + 6*i + 13*i**4 - 12*i - 11*i**4 - 20*i**3 + 22*i.
2*i*(i - 6)*(i - 5)*(i + 1)
Suppose 21/4 - 1/4*x**3 + 19/4*x**2 + 41/4*x = 0. What is x?
-1, 21
Let b(r) = r**3 + 5*r**2 + r - 1. Let j be b(-6). Let z = j + 43. Factor z*g - 2/3*g**3 + 4/3*g**2 + 0.
-2*g**2*(g - 2)/3
Let z(h) = h**3 + 5*h**2 + 2*h - 4. Let y be z(-4). Solve y*f**3 - 16 - 52*f**2 + 20*f**3 + 14*f + 44*f - 4*f**4 - 10*f = 0 for f.
1, 2
Let n(b) be the third derivative of -b**8/84 + 212*b**7/105 - 2701*b**6/30 - 1908*b**5/5 - 486*b**4 - 70*b**2. Suppose n(o) = 0. Calculate o.
-1, 0, 54
Suppose -5*h = 2*t - 17, -h + t - 6*t + 8 = 0. Let 2*v**h - 10*v**4 - 12*v**5 + 7*v**2 + v**2 + v**4 + 1 + 16*v**5 - 6*v = 0. What is v?
-1, 1/4, 1
Let c(i) = -2*i**3 - 53*i**2 + 100*i - 57. Let u(z) = -z**3 + z**2 - 3*z - 1. Let l(p) = c(p) - 3*u(p). Factor l(x).
(x - 54)*(x - 1)**2
Suppose 6*p = -0*p. Suppose p = d + 4, -2*d - 1 = -2*s + 11. Factor -2*b - 2*b**2 + b**2 + 0*b**s.
-b*(b + 2)
Let w(p) be the third derivative of -2/315*p**7 + 0*p**4 + 0*p + 0*p**3 + 0*p**5 + 0 - 1/90*p**6 - 3*p**2. Find s, given that w(s) = 0.
-1, 0
Let -3 - 6 - 5*y - y**2 + 15 - 12 = 0. What is y?
-3, -2
What is t in -4 - 301*t**4 - 5*t + 8*t**2 + 4*t**3 - 2*t**5 + 297*t**4 + 3*t = 0?
-2, -1, 1
Let d(u) be the first derivative of -2*u**3 + 4/3*u + 27 + 7/3*u**2. Factor d(c).
-2*(c - 1)*(9*c + 2)/3
Let u(h) be the first derivative of 0*h + 29 + 1/6*h**4 + 1/15*h**5 - 1/9*h**3 - 1/3*h**2. Factor u(b).
b*(b - 1)*(b + 1)*(b + 2)/3
Determine n, given that -36/11*n**4 + 2/11*n**3 - 16/11*n + 14/11*n**5 + 0 + 36/11*n**2 = 0.
-1, 0, 4/7, 1, 2
Let v be 17 + -15 - (1 + -1). Factor -8*a**2 + v*a**4 - 6*a**2 + 16*a**2 - 4*a**3.
2*a**2*(a - 1)**2
Let a be (8 - (-40)/(-5))/2. Suppose -10 = -4*h - 2. Find v, given that -2/3*v**3 - 4/3*v**h - 2/3*v + a = 0.
-1, 0
Factor -94/5*n**2 - 2/5*n**3 - 882 - 1302/5*n.
-2*(n + 5)*(n + 21)**2/5
Let d(z) be the first derivative of -z**6/15 - 2*z**5/5 + 21*z**4/10 - 46*z**3/15 + 8*z**2/5 + 87. Factor d(q).
-2*q*(q - 1)**3*(q + 8)/5
Let y(x) = 2*x**2 + 2*x + 1. Let j be y(-1). Let d be 7*j*(-16)/(-28). Factor 13*o**2 + 3*o**3 - o**4 + o + 2*o**d - 10*o**2.
o*(o + 1)**3
Let u(j) be the third derivative of j**8/112 - j**7/60 - j**6/24 + j**5/10 + j**4/12 - 5*j**3/12 - 385*j**2. Let u(c) = 0. What is c?
-1, -5/6, 1
Let a be ((-70)/21)/((-2)/(-3))*-1. Factor 5*w + 9*w**2 - a*w**4 + 6 - 5*w**3 - 16 + 11*w**2 - 5*w**2.
-5*(w - 1)**2*(w + 1)*(w + 2)
Let f(x) be the first derivative of 3/4*x**4 + 18*x**2 - 6*x**3 - 24*x + 12. What is u in f(u) = 0?
2
Let z = 371027/9 + -41067. Let d = -158 + z. Factor -2/3*u - d*u**3 + 2/3*u**2 + 2/9.
-2*(u - 1)**3/9
Let f(c) be the second derivative of -c**8/588 + 2*c**7/245 - c**6/70 + c**5/105 + 2*c**2 - 2*c. Let y(m) be the first derivative of f(m). Factor y(h).
-4*h**2*(h - 1)**3/7
Let k = -1912 - -1918. Let g(v) be the first derivative of -8/3*v**3 - 4 + 4/5*v**5 - 1/3*v**k + 0*v + 3/2*v**4 - 4*v**2. Solve g(s) = 0.
-1, 0, 2
Let -6/7*z**2 + 0*z - 12/7*z**4 + 0 - 3/7*z**5 - 15/7*z**3 = 0. Calculate z.
-2, -1, 0
Let q be 26 + -20 - (-46)/(-6) - -3. Let z(t) be the second derivative of -q*t**3 + 0 - 9*t - 6*t**2 + 1/3*t**4. Factor z(y).
4*(y - 3)*(y + 1)
Let s = -10/89 + 268/801. Determine r, given that -4/9*r - 2/3*r**2 + 0 - s*r**3 = 0.
-2, -1, 0
Factor -14*n**3 + 4*n**4 - 21*n**2 - 23*n**2 - 12*n**2 - 20 - 59*n + n**5.
(n - 4)*(n + 1)**3*(n + 5)
Let n be 1/4 - 21/(-12). Determine b, given that 0*b - n*b + 2*b**2 - 3*b - b = 0.
0, 3
Suppose 3*n + 0 = -9. Let r(p) = -14*p**2 + 66*p - 36. Let w(m) = 3*m**2 - 13*m + 7. Let y(f) = n*r(f) - 16*w(f). Find j such that y(j) = 0.
2/3, 1
Let d(u) be the first derivative of -2*u - 4*u**3 - 2/5*u**5 - 15 + 2*u**4 + 4*u**2. Factor d(k).
-2*(k - 1)**4
Suppose -4*d + 10 = -6. Let u = d - -3. Factor u*w**2 - 4*w + 8 - 11*w**2 + 0*w.
-4*(w - 1)*(w + 2)
Let m be 56/7 + (-272)/36. Factor -m*n + 2/9 - 2/3*n**2.
-2*(n + 1)*(3*n - 1)/9
Let r(b) be the second derivative of 5*b**7/42 + 7*b**6/6 - 5*b**5/4 - 125*b**4/4 - 102*b. Find p such that r(p) = 0.
-5, 0, 3
Suppose -9*c = -12*c + 6. Suppose -30 = -2*r - 3*r. Solve -6*j**c + 4*j**2 + r*j**2 = 0 for j.
0
Let n(z) be the third derivative of z**6/2340 + z**5/78 + 25*z**4/156 - 8*z**3/3 - 2*z**2. Let c(b) be the first derivative of n(b). Let c(w) = 0. Calculate w.
-5
Let b(l) = l**2 - 3*l. Let u(x) = -x**2 - 1. Let n(m) = -b(m) - 2*u(m). Suppose n(a) = 0. Calculate a.
-2, -1
Let p be 6*(-4)/((-24)/15). Suppose -t = 4*t - p. Factor -t*c**3 - c**2 + 2*c**2 - 3*c**2 + c.
-c*(c + 1)*(3*c - 1)
Factor -5/2*y + 5/2*y**2 - 5/2*y**4 + 0 + 5/2*y**3.
-5*y*(y - 1)**2*(y + 1)/2
Let h(k) be the second derivative of -k**6/72 + k**5/8 - 5*k**4/12 + 5*k**3/2 + 4*k. Let d(v) be the second derivative of h(v). Factor d(q).
-5*(q - 2)*(q - 1)
Let f = 139 - 137. Suppose 23 = 5*n - f, a - 3*n = -13. Factor 6/13*q**3 + 0 + 0*q**a + 4/13*q**4 - 2/13*q.
2*q*(q + 1)**2*(2*q - 1)/13
Let x(l) be the third derivative of -l**8/168 + 2*l**7/105 + l**6/30 - 2*l**5/15 - l**4/12 + 2*l**3/3 - 2*l**2. What is b in x(b) = 0?
-1, 1, 2
Suppose 0 = 5*w + l - 70 - 60, -5*w = 4*l - 145. Suppose 4*y = w + 35. Solve -12*t + 48*t**5 - 69*t**2 - 3 + 0 - 21*t**3 - y*t + 72*t**4 = 0 for t.
-1, -1/4, 1
Factor 65 - b**2 - 22 + 11*b - 23 - 8.
-(b - 12)*(b + 1)
Let j(v) = v**2 - 5*v - 2. Let d be j(6). Let p(h) = -h**3 - 4*h**2 + 3*h - 4. Let f be p(-5). Factor -3*c**d + 9*c**3 + 4*c**2 + f*c**4 + 3*c + 5*c**2.
3*c*(c + 1)**3
What is b in -56/3*b**4 - 4*b**5 + 20/3*b**3 + 0*b + 0*b**2 + 0 = 0?
-5, 0, 1/3
Let h be (-3)/(-2*(-3)/(-18)). Let o be ((-35)/15 + 2)*h/(-5). What is y in -9/5*y + 9/5*y**4 - o + 6/5*y**3 - 6/5*y**2 + 3/5*y**5 = 0?
-1, 1
Let u(b) be the second derivative of b**7/168 + b**6/30 + b**5/16 + b**4/24 - 394*b. Factor u(a).
a**2*(a + 1)**2*(a + 2)/4
Factor 2/7*l**3 - 16/7 - 20/7*l - 2/7*l**2.
2*(l - 4)*(l + 1)*(l + 2)/7
Let h(w) be the first derivative of -8*w**5/5 - 87*w**4/2 - 1076*w**3/3 - 660*w**2 + 400*w + 249. Solve h(o) = 0.
-10, -2, 1/4
Let u(n) be the second derivative of 5*n**4/12 - 115*n**3/6 - 161*n. Factor u(w).
5*w*(w - 23)
Find u such that -160/3*u + 1/3*u**3 - 896/3 + 2/3*u**2 = 0.
-8, 14
Let d(p) be the third derivative of -p**5/240 + 11*p**4/96 + 13*p**3/12 - 5*p**2 - 61*p. Factor d(h).
-(h - 13)*(h + 2)/4
Suppose -5041/3 - 1/3*c**2 - 142/3*c = 0. What is c?
-71
Let t be -646*(-5)/45 - (-8)/36. Factor -25*w + 64 + 2*w**3 + 11*w - t - 4*w**2.
2*(w - 4)*(w + 1)**2
Let u(v) = -2*v**2 + 20*v + 36. Let j = -31 - -24. Let t(r) = r**2 - 7*r - 12. Let w(s) = j*t(s) - 2*u(s). Let w(c) = 0. Calculate c.
-1, 4
Let j(v) = -v**5 - v**3 + v**2 - 1. Let r(w) = -12*w**4 - 21*w**3 + 15*w**2 + 15*w - 3. Let k(u) = -3*j(u) + r(u). Suppose k(y) = 0. What is y?
-1, 0, 1, 5
Let a(m) be the second derivative of m**4/6 - 3*m**3 + 17*m**2/2 - 43*m. Let b be a(8). Factor -b + 1/2*i**2 + 1/2*i.
(i - 1)*(i + 2)/2
Let l(r) = 2*r**3 + 23*r**2 + 25*r - 48. Let d be l(-10). Suppose -32/15*h**4 - 2/15*h + 4/15 + 88/15*h**3 - 16/5*h**d = 0. What is h?
-1/4, 1/2, 2
Let v(y) = -7*y - 6. Let p be v(-4). Solve p - 9*b -