.
0, 1
Let h(o) be the third derivative of o**8/112 - 3*o**7/14 + 15*o**6/8 - 25*o**5/4 + 22*o**2. Factor h(g).
3*g**2*(g - 5)**3
What is i in 189/8*i - 69/2*i**2 - 6 + 87/4*i**3 - 3/8*i**5 - 9/2*i**4 = 0?
-16, 1
Let l(c) = c. Let i(j) = -j**2 - 7*j. Suppose 24 = -3*t - 2*f, 4 = -2*t + 5*f + 7. Let k(h) = t*l(h) - i(h). Solve k(x) = 0.
-1, 0
Let s(i) be the third derivative of -6*i**7/35 - 29*i**6/5 - 949*i**5/15 - 174*i**4 - 216*i**3 + 25*i**2. Factor s(w).
-4*(w + 9)**2*(3*w + 2)**2
Let j be 422/1081 - (-9)/((-846)/4). Find n such that 0 - 8/23*n**3 - j*n + 34/23*n**2 = 0.
0, 1/4, 4
Let a(u) be the third derivative of -17*u**6/420 - 16*u**5/105 - 13*u**4/84 + 2*u**3/21 + 34*u**2 + 2*u. Solve a(v) = 0 for v.
-1, 2/17
Suppose -17*k + 16*k + 2 = 0. Suppose 34*o**2 + 45*o**4 - 98*o**3 - 10*o - 2*o**3 + 31*o**k = 0. Calculate o.
0, 2/9, 1
Let m = 81 + -76. Let 3*a**2 - 2*a**2 + 5*a - m*a = 0. Calculate a.
0
Let t = -14495 - -14497. Suppose -18*m**5 - 1/2 - 75/2*m**t - 60*m**4 - 145/2*m**3 - 15/2*m = 0. Calculate m.
-1, -1/6
Let c be ((-705)/2115)/((-8)/3 + 2). Find g such that 3*g + 9/2 + c*g**2 = 0.
-3
Suppose 102*n + 45*n - 172 = 122. Suppose 1/3*w - 1/3*w**n + 2/3 = 0. Calculate w.
-1, 2
Let l = 1576 - 1571. Let v(s) be the first derivative of 8/3*s**3 - 12/5*s**l + 4 + 2*s**4 + 2/3*s**6 - 6*s**2 + 4*s. Factor v(g).
4*(g - 1)**4*(g + 1)
Factor 21 - 25/2*s + 1/6*s**3 + 4/3*s**2.
(s - 3)**2*(s + 14)/6
Let r(s) = 2*s**3 - 2*s**2 + 4*s - 4. Let v(c) = -c**3 + c**2 - 3*c + 5. Let w(j) = 2*r(j) + 3*v(j). Let n be w(0). Factor 4*d**4 + 0*d**4 + 7 - n.
4*d**4
Suppose -5*v + 5*g = -45, 0*v - v + 2*g = -12. Let -10 - 10*c + v - 3*c**2 - 3*c**2 = 0. Calculate c.
-1, -2/3
Let z be (-4 + 3)/(18/(-15) + 1). Let m(k) = -k**2 + 30 - 29*k + 6 + 18. Let t(g) = -g**2 - 19*g + 36. Let u(a) = z*m(a) - 7*t(a). Factor u(i).
2*(i - 3)**2
Factor 40/3*m**2 + 0 - 24*m - 2/3*m**3.
-2*m*(m - 18)*(m - 2)/3
Let i(l) be the third derivative of 1/160*l**5 + 0 + 0*l**3 + 0*l**4 + 0*l - 6*l**2. What is d in i(d) = 0?
0
Let y = 41 - 50. Let q be 21/5 - 8/(24/y). Determine o, given that 26/5*o + q*o**3 + 44/5*o**2 + 14/5*o**4 + 6/5 + 2/5*o**5 = 0.
-3, -1
Suppose 8*p + 4*p - 28 - 20 = 0. Suppose 5/12*i**3 + 7/12*i**p - 5/2*i**2 - 5/3*i + 2/3 = 0. What is i?
-2, -1, 2/7, 2
Let 0 + 22/9*t**2 + 14/9*t**3 + 10/9*t + 2/9*t**4 = 0. Calculate t.
-5, -1, 0
Let m(z) be the second derivative of -z**7/210 - z**6/30 - 3*z**5/50 + z**4/15 + 4*z**3/15 - z - 14. Factor m(j).
-j*(j - 1)*(j + 2)**3/5
Factor -180*l**4 - 198*l**4 + 373*l**4 + 30*l**2 + 5*l**3.
-5*l**2*(l - 3)*(l + 2)
Let 43*y**5 - 2*y + 45*y**3 + 4*y**4 - 8*y - 69*y**4 + 5*y**2 - 18*y**5 = 0. What is y?
-2/5, 0, 1
Let -2/13 - 300/13*r**3 - 32/13*r - 170/13*r**2 = 0. Calculate r.
-1/5, -1/6
Let q(k) be the second derivative of -3*k**5/20 - k**4/4 + 15*k**3 - 3*k - 11. Factor q(u).
-3*u*(u - 5)*(u + 6)
Let g(s) be the first derivative of 10*s**3/9 + 35*s**2/4 + 65*s/3 + 433. Solve g(v) = 0 for v.
-13/4, -2
Let -174*n**2 - 247*n**2 - 139876 + 417*n**2 - 1496*n = 0. Calculate n.
-187
Let j be (0/(6 + -2))/(-4). Factor 11*i**2 + 0 + 3*i - 8*i**2 + j - 3*i**4 - 3*i**3.
-3*i*(i - 1)*(i + 1)**2
Suppose -15*v + 540 = -0*v. Let q be (-1 - 4/(-3))/(6/v). Factor -8/5*b**2 + 2/5*b**3 + q*b - 4/5.
2*(b - 2)*(b - 1)**2/5
Let v(c) be the second derivative of -c**7/42 + c**6/6 - c**5/3 - 3*c**2/2 + 10*c. Let w(o) be the first derivative of v(o). Factor w(t).
-5*t**2*(t - 2)**2
Let d be (-6)/(-27)*-3*(0 - -3). Let u be d/(-2) + 2 + -3. Factor -1/4*k**2 + u*k + 0.
-k**2/4
Suppose -16 = l + 5*c + 2, -4*l + 2*c = -16. Suppose 100 = 2*r + l*r. Factor -10*b**4 + r*b**4 + 3*b**3 + 8*b**5 + 4*b**5.
3*b**3*(b + 1)*(4*b + 1)
Suppose -5*h**2 - 82*h**4 - 10*h**3 - 81*h**4 + 158*h**4 = 0. What is h?
-1, 0
Let y be 1/4 - (-360)/352. Let c = -27140/143 - -2472/13. Determine g so that -c*g + y*g**2 + 0 + 10/11*g**3 - 8/11*g**4 = 0.
-1, 0, 1/4, 2
Let d(g) be the second derivative of -g**5/4 + 25*g**4/12 - 5*g**3 - 359*g. Factor d(r).
-5*r*(r - 3)*(r - 2)
Let l be (0/(-53))/35*(1 - 0). Factor 0*f + 0 + 0*f**2 - 1/4*f**4 + l*f**3.
-f**4/4
Let q(t) be the third derivative of 0 - 3/8*t**4 + 9/2*t**3 + 0*t - 1/4*t**5 - 1/40*t**6 + 15*t**2. Factor q(a).
-3*(a - 1)*(a + 3)**2
Suppose 40 = -5*u + 190. Determine p, given that -22*p**2 - 138*p - 5*p**3 - 18*p**2 - u + 73*p = 0.
-6, -1
Let q(x) = 5*x**2 + 25*x + 42. Let f(j) = 26*j**2 + 124*j + 210. Let u(v) = 2*f(v) - 11*q(v). Solve u(i) = 0.
-7, -2
Let m = 12 + -14. Let t(c) = -c**5 + c**4 + 3*c**3 - 3*c**2 - 4*c. Let u(w) = 3*w**5 - w**4 - 7*w**3 + 6*w**2 + 9*w. Let r(s) = m*u(s) - 5*t(s). Factor r(p).
-p*(p - 1)*(p + 1)**2*(p + 2)
Let i be 50/(-15)*(-7)/(28/6). Let p(h) be the first derivative of -i - 2/5*h**2 - 2/25*h**5 + 2/5*h**3 + 0*h**4 + 0*h. Determine x so that p(x) = 0.
-2, 0, 1
Let z(g) = 20*g**2 + 32*g - 52. Let n(v) = 2*v**2 - 2. Let h(q) = 18*n(q) - 2*z(q). Factor h(l).
-4*(l - 1)*(l + 17)
Let j = -19 + 28. Let k = 11 - j. Determine z so that z**2 + z**k - z**2 - z - 2 + 0 = 0.
-1, 2
Let x(i) be the first derivative of 21*i**4/32 - 193*i**3/12 + 35*i**2/4 + 9*i + 99. Factor x(f).
(f - 18)*(3*f - 2)*(7*f + 2)/8
Let g be -1*((-1 - 3) + 2). Let y be 2/(-15)*(11 - -349)/(-40). Factor -y*l**3 + 6/5*l**g - 2/5*l + 0 + 2/5*l**4.
2*l*(l - 1)**3/5
Let g be (2/6)/(4 + 35/(-9)). Let 14*c + c - 5*c**5 - 3*c**4 + g*c**4 - 40*c**2 + 30*c**3 = 0. What is c?
-3, 0, 1
Suppose z - 20 = -5. Suppose -2*q = -7*q + z. Let 8/7*c**2 + 4/7 - 2/7*c**q - 10/7*c = 0. What is c?
1, 2
Suppose 42/5*q - 72/5 + 4/5*q**2 = 0. Calculate q.
-12, 3/2
Let c(h) be the third derivative of h**7/280 + 3*h**6/320 - 3*h**5/8 + 113*h**4/64 - 21*h**3/8 - 6*h**2 - 17*h. Suppose c(x) = 0. What is x?
-7, 1/2, 2, 3
Suppose l = -2*g - 113, g = -2*l + 30 - 94. Let f be 2/(-5) + 7/((-70)/g). Solve -1/2*b + 0*b**2 + 0 + 0*b**4 - 1/2*b**f + b**3 = 0.
-1, 0, 1
Suppose -3*r + q - 23 = 0, -3*r - 3 - 5 = 2*q. Let v be -1 - (1 + (r - -4)). Determine p so that -2*p - p**3 + v*p + 3*p = 0.
-1, 0, 1
Let c = 35800/62601 + -4/8943. Find y, given that -2/7*y + c*y**3 + 6/7 - 12/7*y**2 - 2/7*y**5 + 6/7*y**4 = 0.
-1, 1, 3
Let i = 3322 + -23251/7. Solve i*k**2 - 5/7*k + 2/7 + 1/7*k**3 - 1/7*k**4 = 0 for k.
-2, 1
Let j be (-26)/(988/171)*(-2)/18. Find r, given that -j*r**5 + 0*r + 0 + 2*r**2 - 4*r**3 + 5/2*r**4 = 0.
0, 1, 2
Let f(s) be the third derivative of s**8/112 - s**7/10 + 13*s**6/40 + 3*s**5/20 - 9*s**4/4 - 115*s**2 - 1. Suppose f(n) = 0. What is n?
-1, 0, 2, 3
Let v(o) be the second derivative of 9*o**5/4 + 955*o**4/12 + 185*o**3 + 100*o**2 + o - 8. Factor v(i).
5*(i + 1)*(i + 20)*(9*i + 2)
Let s(n) be the first derivative of -5*n**4/4 + 260*n**3/3 - 3625*n**2/2 + 6250*n + 422. Factor s(c).
-5*(c - 25)**2*(c - 2)
Let n(y) be the second derivative of -28/3*y**3 + 7/3*y**4 + 0 - 1/5*y**5 + 16*y**2 - 25*y. Factor n(o).
-4*(o - 4)*(o - 2)*(o - 1)
Factor 2 + 39*q + 189*q**2 - 12*q - 78*q.
(9*q - 2)*(21*q - 1)
Suppose 6*z - z = 4*r - 9, 3*z - 39 = -5*r. Suppose 5*b = -r*b + 22. Find y, given that -1/4*y**4 + 1/4*y**5 + 0 + 0*y + 1/4*y**b - 1/4*y**3 = 0.
-1, 0, 1
Let q(a) be the third derivative of -5*a**8/336 + 2*a**7/21 + a**6/12 - 2*a**5/3 - 5*a**4/24 + 10*a**3/3 + 31*a**2. What is v in q(v) = 0?
-1, 1, 4
Factor 3/4*w**2 - 21/4*w + 15/2.
3*(w - 5)*(w - 2)/4
Let l be 114/15 + 2/5. Let v = -6 + l. Factor 4*x**2 + 0*x**3 - 5*x**2 + 3*x**4 - v*x**2 + 3*x**3 - 3*x**5.
-3*x**2*(x - 1)**2*(x + 1)
Factor -192*s + 3/2*s**2 - 387/2.
3*(s - 129)*(s + 1)/2
Let c(m) be the third derivative of -m**7/490 - 19*m**6/140 - 517*m**5/140 - 741*m**4/14 - 3042*m**3/7 + 312*m**2. Factor c(u).
-3*(u + 6)**2*(u + 13)**2/7
Let u = 202 - 604/3. Let b(w) be the second derivative of 0 - 2*w + 0*w**2 + 1/5*w**6 + 4/5*w**5 + 7/6*w**4 + u*w**3. Let b(n) = 0. What is n?
-1, -2/3, 0
Factor -16/9*a - 16/9 - 4/9*a**2.
-4*(a + 2)**2/9
Let z(d) = 3*d**4 + 7*d**3 - 3*d**2 + 9*d - 8. Let y(q) = 2*q**4 + 6*q**3 - q**2 + 8*q - 7. Let t(h) = 6*y(h) - 5*z(h). Factor t(m).
-(m - 2)*(m + 1)**2*(3*m - 1)
Let y(t) be the second derivative of 1/96*t**4 + 1/24*t**3 + 1/16*t**2 - 13*t + 0. Find b, given that y(b) = 0.
-1
Find x, given that -35*x**3 + 7*x**3 - 32*x - 69*x**4 + 73*x**4 + 56*x**2 = 0.
0, 1, 2, 4
Let o(d) b