1/6*m**5 - 12 - 91/3*m**2 - 27/2*m**3 - 8/3*m**4.
-(m + 1)*(m + 2)**3*(m + 9)/6
Suppose -22/21 + 30/7*l - 10/7*l**4 - 20/3*l**2 + 2/21*l**5 + 100/21*l**3 = 0. What is l?
1, 11
Let h = -6742 - -6742. Let h - 1/4*v**2 + 1/2*v - 1/2*v**3 + 1/4*v**4 = 0. What is v?
-1, 0, 1, 2
Suppose 20*r = -54 - 46. Let g be 50/80*(-2)/r. Let -g + 5/4*o**3 + 1/4*o**2 - 5/4*o = 0. What is o?
-1, -1/5, 1
Solve 2/15*j**3 + 2/3 + 14/15*j**2 + 22/15*j = 0 for j.
-5, -1
Let i(o) be the first derivative of o**5 - 165*o**4/4 - 115*o**3 - 175*o**2/2 - 54. Let i(u) = 0. Calculate u.
-1, 0, 35
Let j be (72/16)/((600/32)/5). Solve 3/5*p**3 + 0 - j*p**4 + 6/5*p**2 - 3/5*p**5 + 0*p = 0.
-2, -1, 0, 1
Let g(k) = -10*k**2 + 5. Suppose 0 = 3*t + 4*r + 8, -4*r = -0 - 4. Let f(h) = 9*h**2 - 4. Let u(z) = t*g(z) - 5*f(z). Factor u(j).
-5*j**2
Let b(h) be the third derivative of -h**5/210 + 5*h**4/42 - h**3 + 83*h**2. Find j such that b(j) = 0.
3, 7
Factor 2587 + 18*p + p**2 + p**2 - 5155 + 2596.
2*(p + 2)*(p + 7)
Let w = -20 - -22. Suppose 81*o**2 + 4*o**5 + 36*o**3 + 8*o - 164*o**w + 111*o**2 + 20*o**4 = 0. What is o?
-2, -1, 0
Let c be 5132/792*-2 - 1. Let d = 156/11 + c. Factor 4/9 + 10/9*r + 2/3*r**2 - 2/9*r**4 - d*r**3.
-2*(r - 2)*(r + 1)**3/9
Factor 14/3*k - 85/3*k**2 + 0 + 2*k**3.
k*(k - 14)*(6*k - 1)/3
Suppose d - 6*c + c = -18, 3*d - c - 2 = 0. Determine i, given that -4*i**4 - 3*i**5 + i + 9*i**d + 2*i - 3*i**2 - 2*i**4 = 0.
-1, 0, 1
Let x(m) be the third derivative of m**7/1785 + 7*m**6/1020 + m**5/34 + 3*m**4/68 - 3*m**2 - 65*m. Factor x(p).
2*p*(p + 1)*(p + 3)**2/17
Let w be (-912)/(-448) + 2*(-15)/40. Find c, given that -4/7*c - 3/7*c**5 + 0*c**2 - 2/7*c**4 + 0 + w*c**3 = 0.
-2, -2/3, 0, 1
Let h(u) be the second derivative of -u**6/6 + u**5/4 + 5*u**4/4 - 25*u**3/6 + 5*u**2 + 117*u. Factor h(t).
-5*(t - 1)**3*(t + 2)
Let y(j) be the third derivative of -36*j**2 + 1/7*j**3 - 13/84*j**4 + 0*j + 2/105*j**5 + 0. Factor y(i).
2*(i - 3)*(4*i - 1)/7
Let s = 260 + -260. Let x(v) be the third derivative of 2*v**2 - 1/60*v**5 + s*v**3 + 0*v**4 + 0 + 1/40*v**6 + 0*v. Factor x(p).
p**2*(3*p - 1)
Let d be 3 + 1*(-9)/9. Let g(s) be the first derivative of 3/8*s**d - 1 + 0*s - 1/8*s**3. Suppose g(w) = 0. Calculate w.
0, 2
Suppose -b**3 + 351*b - 520 - 111*b - 2*b**3 - 2*b**3 + 45*b**2 - 1720 = 0. What is b?
-7, 8
Let o(a) be the first derivative of -a**5/120 + a**4/12 - a**3/3 - 7*a**2/2 + 34. Let p(i) be the second derivative of o(i). Determine m, given that p(m) = 0.
2
Suppose 0*s**2 + 5*s**2 + 6 - 126 - 121*s - 3*s**2 - 3*s**2 = 0. Calculate s.
-120, -1
Let x(t) be the second derivative of -1/50*t**5 - 1/105*t**7 - 1/25*t**6 + 0*t**2 + 7 - 2*t + 1/10*t**4 + 2/15*t**3. Determine j so that x(j) = 0.
-2, -1, 0, 1
Let r(z) be the third derivative of 0 + 3*z**2 - 2/255*z**5 + 0*z + 0*z**3 + 1/340*z**6 + 1/204*z**4. Factor r(l).
2*l*(l - 1)*(3*l - 1)/17
Find g such that 466/3*g**4 + 6*g**5 - 160/9*g**3 + 0 - 104/9*g**2 + 0*g = 0.
-26, -2/9, 0, 1/3
Let h(l) = 9*l**2 + 120*l + 99. Let r(a) = -8*a**2 - 115*a - 98. Let i(x) = -3*h(x) - 4*r(x). Factor i(b).
5*(b + 1)*(b + 19)
Factor -8*v**2 + 30*v**4 + 20*v**5 + 16*v**5 - 24*v**3 + 10*v**5 - 54*v**5.
-2*v**2*(v - 2)**2*(4*v + 1)
Let v(k) be the second derivative of -k**5/4 - 5*k**4 + 165*k**3/2 - 405*k**2 + 340*k. Factor v(g).
-5*(g - 3)**2*(g + 18)
Let w(o) = -2*o - 16. Let u(n) = -2*n**3 + 2*n**2 - 1. Let h be u(2). Let c be w(h). Let 4/5*i + 2/5*i**3 + 6/5*i**c + 0 = 0. Calculate i.
-2, -1, 0
Suppose -154*b = -158*b + 4*x + 12, -5*b + 2*x + 21 = 0. What is v in 0 - 1/3*v**2 + 1/3*v**4 + 1/9*v + 1/9*v**3 - 2/9*v**b = 0?
-1, 0, 1/2, 1
Factor 2*i**2 - 2/9*i**3 + 104/9 + 32/3*i.
-2*(i - 13)*(i + 2)**2/9
Let y(z) = 3*z**3 - 445*z**2 - 873*z - 429. Let x(w) = 40*w**3 - 5340*w**2 - 10475*w - 5145. Let r(d) = -2*x(d) + 25*y(d). Factor r(n).
-5*(n + 1)**2*(n + 87)
Let g be 28/49*(-14)/(-12). Suppose -8 = -41*c + 39*c. Factor -g*y**2 + 4/3*y**3 + 0 + 2/3*y**c - 4/3*y.
2*y*(y - 1)*(y + 1)*(y + 2)/3
Let i(c) = c**3 + 8*c**2 - 13*c - 29. Let m(g) = g**3 - 64*g - 144 + 40*g**2 + 3*g**3 + 0*g. Suppose -13*r = 8*r - 336. Let d(k) = r*i(k) - 3*m(k). Factor d(y).
4*(y - 2)*(y + 2)**2
Let l(p) be the third derivative of -p**6/80 + p**5/15 + p**4/16 - 2*p**3/3 - 76*p**2. Factor l(m).
-(m - 1)*(m + 1)*(3*m - 8)/2
Factor 20250 - 5/2*f**3 - 20700*f + 905/2*f**2.
-5*(f - 90)**2*(f - 1)/2
Let x = 2658 - 2658. Let 4/11*l**2 + 3/11*l + 1/11*l**3 + x = 0. What is l?
-3, -1, 0
Let x(b) be the third derivative of b**7/6720 - b**6/2880 - b**5/960 + b**4/192 - 11*b**3/3 - 16*b**2. Let h(c) be the first derivative of x(c). Factor h(z).
(z - 1)**2*(z + 1)/8
Let u(v) be the first derivative of 0*v + 4/21*v**3 + 12/35*v**5 + 3/7*v**4 + 0*v**2 + 2/21*v**6 - 3. Factor u(f).
4*f**2*(f + 1)**3/7
Suppose 2*c + 2 = 4*z, -9*z + 3*c - 6 = -6*z. Let 0 + 6/7*l**2 + 6/7*l**z + 2/7*l + 2/7*l**4 = 0. Calculate l.
-1, 0
Let z(i) be the second derivative of -3*i**5/20 - 75*i**4/4 - 1443*i**3/2 - 4107*i**2/2 + 209*i. Factor z(l).
-3*(l + 1)*(l + 37)**2
Find f, given that -495*f**2 - 123*f**2 - 807*f**2 + 10 + 1415*f = 0.
-2/285, 1
Factor 25*x**3 - 17*x - 3*x**4 - x**5 + 9 - 39*x**3 - x**2 - 4*x + 11*x**2 + 20*x**3.
-(x - 1)**3*(x + 3)**2
Let u be ((0/4 - 1) + -3)/(-1). Suppose -4*s - 4*x = 12, 2 = -u*s + 2*x - 4*x. Find f such that 3/4*f**4 - 1/4*f**5 + 0 - 3/4*f**3 + 1/4*f**s + 0*f = 0.
0, 1
Suppose -5 = q, -3*a - 28 = 3*q + 89. Let n be a/153 - (-29)/9. Solve -5*h**3 + 0*h**4 + 6*h - h**3 - n + 0*h**4 + 3*h**4 = 0.
-1, 1
Suppose -4*z - 9 = -21. Let d be z + -1 - (-12)/(-6). Factor c**2 + d*c + c**3 - 3/4*c**4 + 0.
-c**2*(c - 2)*(3*c + 2)/4
Let w(z) be the first derivative of -5*z**3/3 + 145*z**2/2 - 390*z - 271. Solve w(k) = 0.
3, 26
Let a(z) be the second derivative of z**4/4 - 41*z**3 + 5043*z**2/2 + 2*z + 58. Find r such that a(r) = 0.
41
Let v(r) be the first derivative of -r**3/3 - 77*r**2 + 155*r + 138. Let v(d) = 0. What is d?
-155, 1
Let g be 10*((-12)/20 + 1). Suppose -3*u + 3*u**g - 22*u + 5*u**3 - 10 - 15*u**2 + 2*u**4 = 0. What is u?
-1, 2
Let q(w) be the third derivative of 0*w**4 + 0*w**3 + 0*w + 10*w**2 + 1/84*w**8 + 1/15*w**5 + 0 - 1/30*w**6 - 2/105*w**7. Determine a so that q(a) = 0.
-1, 0, 1
Let d = 22 + -20. Suppose d*t + 16 - 10 + 18*t**2 + 19*t - 6*t**4 - 3*t**3 = 0. What is t?
-1, -1/2, 2
Let n(m) = -m + 2. Let k be n(-5). Let x = -3 + 6. Factor -3*q**2 - 15*q**3 - 27*q + k*q**4 + 29*q + x*q**3 + 6*q**2.
q*(q - 1)**2*(7*q + 2)
Let r(t) be the second derivative of -1/72*t**4 + 1/12*t**3 - 5*t + 0 + 0*t**2. Factor r(k).
-k*(k - 3)/6
Let c(n) = -4*n**3 - 2084*n**2 + 54084*n - 51996. Let t(m) = -m**3 - 417*m**2 + 10817*m - 10399. Let k(z) = -5*c(z) + 24*t(z). Factor k(f).
-4*(f - 51)**2*(f - 1)
Let b = 83689/6 - 13948. Factor -b*x**2 + 0*x + 0.
-x**2/6
Let t(x) be the first derivative of 0*x + 7 - 1/5*x**4 - 4/15*x**3 + 0*x**2. Determine l, given that t(l) = 0.
-1, 0
Determine o, given that 441/5*o**2 + 447/5*o + 6/5 = 0.
-1, -2/147
Let u(s) be the first derivative of s**5/60 + s**4/9 - 5*s**3/18 + 24*s + 29. Let k(r) be the first derivative of u(r). Factor k(m).
m*(m - 1)*(m + 5)/3
Suppose 3*j - 6*s + 5*s + 3 = 0, 6 = 4*j + 2*s. Factor j*d**2 + 0*d**2 - 6*d**4 + 8*d**2 + 2*d**5.
2*d**2*(d - 2)**2*(d + 1)
Let l(v) = -5*v**2 - 3*v + 42. Let i(n) = -110*n**2 - 65*n + 930. Let t(m) = -2*i(m) + 45*l(m). Determine y, given that t(y) = 0.
-3, 2
Let u(y) be the second derivative of -134/15*y**4 + 2/105*y**7 - 6*y - 8/25*y**6 + 104/5*y**3 + 0 - 144/5*y**2 + 57/25*y**5. Determine t so that u(t) = 0.
2, 3
Let n be (-3 + 35/15)/((-1)/3). Factor -6/5*s + 3/5 + 0*s**n + 6/5*s**3 - 3/5*s**4.
-3*(s - 1)**3*(s + 1)/5
Let j = 54 - 57. Let f(v) = 3*v**2 + 9*v - 4. Let q(o) = -2*o**2 - 9*o + 5. Let d(w) = j*f(w) - 4*q(w). Factor d(s).
-(s - 8)*(s - 1)
Let w be (-2)/1 - (-3 - 5). Let z(s) = -s**3 + 7*s**2 - 7*s + 8. Let f be z(w). Suppose -6*m**4 + 10*m**3 + 2*m**4 - 7*m**f + 3*m**2 = 0. Calculate m.
0, 1/2, 2
Let y(n) be the first derivative of 5*n**6/21 - 16*n**5/35 - 19*n**4/14 + 4*n**3/3 + 4*n**2 + 16*n/7 - 31. Determine s so that y(s) = 0.
-1, -2/5, 2
Let w(c) be the second derivative of 1/5*c**3 + 0*c**2 + 1/100*c**5 + 0 + 12*c - 1/12*c**4. Factor w(p).
p*(p - 3)*(p - 2)/5
Facto