928*k**2/5 - 732*k + 3. Factor u(s).
2*(s + 1)*(s + 2)*(s + 464)/5
Factor 11/10*c**2 - 1/10*c**3 - 18/5 - 12/5*c.
-(c - 6)**2*(c + 1)/10
Let r be (-8)/(-12)*3/2. Let x be (r + 0)/((-500)/(-625)). What is k in -10*k**2 - x*k**3 - 45/2 - 105/4*k = 0?
-3, -2
Let r(g) be the first derivative of 2*g**3/9 - 136*g**2/3 + 266*g + 1921. Determine c, given that r(c) = 0.
3, 133
Let u be -6*(-37)/(-16) - 20/160. Let z be ((-8)/(-14))/(38/u - -3). Factor 5 + 1 - 9*o - o**2 + 12*o - 2*o**z.
-3*(o - 2)*(o + 1)
Solve 647/2*h**3 + 53/2 - 581/2*h**2 - 6*h**4 - 107/2*h = 0 for h.
-1/3, 1/4, 1, 53
Suppose -694*k + 698*k = -4*g + 28, 0 = -k + 7. Factor 0*l + 0*l**4 + g + 1/4*l**2 + 1/8*l**5 - 3/8*l**3.
l**2*(l - 1)**2*(l + 2)/8
Let l = -347 + 2087/6. Let d(a) be the second derivative of 1/4*a**5 + 0*a**2 + 5/6*a**3 + l*a**4 + 0 + 18*a. Factor d(b).
5*b*(b + 1)**2
Let w(h) be the second derivative of h**7/168 + h**6/36 - h**5/6 - 5*h**4/3 + h**3/3 + 16*h**2 - h - 6. Let z(m) be the second derivative of w(m). Factor z(l).
5*(l - 2)*(l + 2)**2
Let i(a) be the second derivative of -a**5/140 + 187*a**4/21 - 1493*a**3/42 + 373*a**2/7 - 1606*a. Factor i(b).
-(b - 746)*(b - 1)**2/7
Factor 0*g**2 + 0*g + 0*g**3 + 1/9*g**5 + 0 + 23/9*g**4.
g**4*(g + 23)/9
Let 650*a - 112*a**2 + 381*a**2 + 750*a**2 + 16 - 420*a**4 + 24 + 1105*a**3 + 1116*a**2 = 0. What is a?
-1, -2/7, -1/12, 4
Let c = -23/1192 + 321/1192. Let 5/4 + 3/4*j**2 + 9/4*j - c*j**3 = 0. What is j?
-1, 5
Let v(i) be the third derivative of -i**6/120 - 59*i**5/60 - 815*i**4/24 + 875*i**3/6 + 20*i**2 + 3. Factor v(l).
-(l - 1)*(l + 25)*(l + 35)
Let m be 239/(31548/11320980) - (-30)/(-2). Factor -10504375 - 35*v**4 - 1500625*v - 1/5*v**5 - 2450*v**3 - m*v**2.
-(v + 35)**5/5
Determine p so that 12*p**5 + 49/3*p**4 - 40/3*p - 134/3*p**3 - 196/3*p**2 + 0 = 0.
-2, -10/9, -1/4, 0, 2
Let y(b) be the third derivative of -b**7/210 + 521*b**6/30 - 48233*b**5/2 + 83563325*b**4/6 + 335702375*b**3/6 - 842*b**2. Factor y(u).
-(u - 695)**3*(u + 1)
Let b be 531/171 + 2/(-19). Let v(n) be the first derivative of -23 - 20*n + 10*n**2 - 5/3*n**b. Determine x, given that v(x) = 0.
2
Let z be 1 + (-3 - (1 - 4)). Let h be (-11 + 12)/(z/4). Factor 13 - 8*t - h*t**2 + 3 - 4.
-4*(t - 1)*(t + 3)
Suppose -20*h**2 - 60*h + 5/3*h**3 + 560/3 = 0. Calculate h.
-4, 2, 14
Let d(u) be the third derivative of u**7/210 - u**6/60 - u**5/15 + u**4/3 + 104*u**2. Find s, given that d(s) = 0.
-2, 0, 2
Let q(i) = 4*i**2 + 48*i - 1. Let o(m) = 51*m**2 + 1641*m - 2154. Let g(u) = -o(u) + 12*q(u). Factor g(t).
-3*(t - 2)*(t + 357)
Let -18*j**2 - 10*j**3 - 43*j**2 - 3*j**4 - 10*j**3 + 17*j**2 + 4*j**4 = 0. Calculate j.
-2, 0, 22
Suppose -2*w - 4203 = 6*o - 93, 2742 = -4*o - 2*w. Let r = 2737/4 + o. Factor r*s**2 + 0 + 1/4*s.
s*(s + 1)/4
Let d be -2 + 2 + -1 + 459 + -455. Let x(r) be the first derivative of 3/13*r**2 - 2/39*r**d + 8/13*r - 19. Solve x(o) = 0 for o.
-1, 4
Let o(m) be the third derivative of -5*m**7/3528 - m**6/2520 - m**4/12 - 59*m**3/6 + 102*m**2. Let i(t) be the second derivative of o(t). Factor i(g).
-g*(25*g + 2)/7
Suppose -3*w - 18 = -2*w. Let b = w + 18. Determine j, given that b*j**2 + j**2 - 4 - 2*j + 5 = 0.
1
Find j such that -2/7*j**4 + 0*j + 0 + 2/7*j**3 + 24/7*j**2 = 0.
-3, 0, 4
Let j(d) = -12*d**2 - 3380*d - 3332. Let p(w) = -2*w**2 - w + 10. Let r(g) = -j(g) + 4*p(g). Let r(u) = 0. What is u?
-843, -1
Let d(r) be the second derivative of 18*r - 17/3*r**3 + 0*r**2 + 0 - 1/960*r**6 - 1/80*r**5 - 1/16*r**4. Let v(w) be the second derivative of d(w). Factor v(l).
-3*(l + 2)**2/8
Let y(n) = 17*n**4 - 17*n**3 - 10*n**2 - 16*n. Let q(v) = -11*v**4 + 11*v**3 + 7*v**2 + 10*v. Let z(l) = 8*q(l) + 5*y(l). Factor z(c).
-3*c**2*(c - 2)*(c + 1)
Solve -1/2*x**4 - 401406*x + 447*x**3 - 403202 - 198013/2*x**2 = 0.
-2, 449
Factor 12/5*j - 14/5*j**2 + 0*j**3 + 0 + 2/5*j**4.
2*j*(j - 2)*(j - 1)*(j + 3)/5
Let n be (-1312)/80 - (5 - 22). Factor -2/5*b**2 + 1/5*b**5 - 4/5*b**3 + 0 + n*b + 2/5*b**4.
b*(b - 1)**2*(b + 1)*(b + 3)/5
Find r such that -18 - 16*r + 1/2*r**3 - 5/2*r**2 = 0.
-2, 9
Suppose 2*b - 23 + 4 = 3*p, -5*b + 2*p = -20. Let f(k) = 4*k**2 - 2*k - 17. Let z be f(-2). What is o in 2 - b*o + 1/2*o**z - 1/2*o**2 = 0?
-2, 1, 2
Let o(q) = -30*q - 276. Let l be o(-9). Let v be (52/2)/(21*l/(-63)). Factor v*u + 169/2 + 1/2*u**2.
(u + 13)**2/2
Let n be 0 - (-6)/(-14) - (-814)/462. Let w(p) be the first derivative of n*p**3 - 2 - 48*p - p**4 + 16*p**2. Determine o so that w(o) = 0.
-3, 2
Suppose 3*a - 1550*p = -1549*p - 8, -4*a - 2*p = -36. Let -30/7*d - 3/7*d**4 - 33/7 + 30/7*d**3 + 36/7*d**a = 0. What is d?
-1, 1, 11
Let w(p) = -48*p**3 + 1222*p**2 - 404*p - 797. Let n(r) = 22*r**3 - 612*r**2 + 202*r + 400. Let y(g) = -9*n(g) - 4*w(g). Factor y(b).
-2*(b - 103)*(b - 1)*(3*b + 2)
Let s = 28901 + -7823. Find u such that 8*u**2 + s*u - 2*u**3 - 21078*u = 0.
0, 4
Let m be (-40)/290*-58 - (-5)/(-1). Factor 14/5*l - 16/5*l**m + 2/5*l**5 - 8/5 + 4/5*l**4 + 4/5*l**2.
2*(l - 1)**3*(l + 1)*(l + 4)/5
Let w be (-105)/(-33) + -3 + (-1094)/(-2090). Let z = w - 2/19. Solve 0 + 0*l - 3/5*l**2 + z*l**3 = 0 for l.
0, 1
What is z in -1537*z**5 + 13*z**4 - 14*z**3 + 1536*z**5 - 16*z**2 + 3*z**4 + 15*z = 0?
-1, 0, 1, 15
Let s(m) be the second derivative of 7*m**5/4 - 85*m**4/6 + 130*m**3/3 - 60*m**2 + 1459*m. Factor s(r).
5*(r - 2)**2*(7*r - 6)
Let p = 63/32 + -7/32. Let v(n) be the first derivative of 19 - 3*n + p*n**2 - 1/8*n**4 + 0*n**3. Solve v(x) = 0.
-3, 1, 2
Solve 20 - 2*i**4 - 167/2*i**3 - 141*i**2 - 79/2*i = 0.
-40, -1, 1/4
Let z(x) be the first derivative of x**7/280 + x**6/15 + 7*x**5/40 - 88*x**3 - 263. Let s(q) be the third derivative of z(q). What is m in s(m) = 0?
-7, -1, 0
Let j(y) be the first derivative of -y**6/1800 + 7*y**5/300 - 187*y**3/3 - 183. Let d(p) be the third derivative of j(p). Determine i so that d(i) = 0.
0, 14
Let n = 16653/23 - 149135/207. Let p = n - 62/23. Factor -2/9*i**5 - 2/9*i**4 - 16/9*i + p + 10/9*i**3 + 2/9*i**2.
-2*(i - 1)**3*(i + 2)**2/9
Factor 2/9*h**3 - 2*h + 0 + 16/9*h**2.
2*h*(h - 1)*(h + 9)/9
Factor 5342 + 3*l**2 + 120251 - 9424 - 547*l + 11139 + 1783*l.
3*(l + 206)**2
Let l = 1121/12 - 559/6. Let y(p) be the first derivative of 28 + 1/6*p**6 + 2/3*p**3 + 0*p**2 + 0*p - 2/5*p**5 - l*p**4. Solve y(f) = 0 for f.
-1, 0, 1, 2
Let m(v) be the second derivative of 101*v + 0 - 2/5*v**6 + 0*v**3 - 3/14*v**7 + 3/2*v**4 + 0*v**2 + 51/20*v**5. Find s such that m(s) = 0.
-3, -1/3, 0, 2
Let f = -139 - -135. Let m be ((-6)/f)/((-99)/(-12)). Let m*g**5 + 0*g + 0 + 6/11*g**3 - 2/11*g**2 - 6/11*g**4 = 0. Calculate g.
0, 1
Determine z so that -25/2*z - 205/4*z**2 + z**4 + 0 - 19/4*z**3 = 0.
-5, -1/4, 0, 10
Suppose -15599*y + 15602*y + 6*n + 54 = 0, 3*y - 5*n = 56. Factor -11/7*b + 24/7 + 1/7*b**y.
(b - 8)*(b - 3)/7
Let k = -1/1064 + -113/1064. Let n = 11/28 + k. What is s in -50/7 + 20/7*s - n*s**2 = 0?
5
Let f(h) be the third derivative of -9*h**6/280 + 169*h**5/140 + 19*h**4/28 + 306*h**2 - 2. Find y, given that f(y) = 0.
-2/9, 0, 19
Suppose -19*x - 3 = -0*x - 117. Let o(g) be the third derivative of -1/60*g**x + 0*g - 1/10*g**5 + 2*g**2 + 0 + 0*g**3 - 1/6*g**4. Factor o(u).
-2*u*(u + 1)*(u + 2)
Let c = -5/95092 + 392257/47546. Factor -c*w + 3/4*w**3 + 3*w**2 + 9/2.
3*(w - 1)**2*(w + 6)/4
Let m(c) be the second derivative of c**5/60 - c**3/6 - 55*c**2/2 + 7*c. Let b(z) be the first derivative of m(z). Factor b(i).
(i - 1)*(i + 1)
Suppose -k + 2*l = 17 + 23, -3*k - 15 = -l. Factor 1/4*w**k + w - 3.
(w - 2)*(w + 6)/4
Suppose 0 = -48*n - 74 + 218. Let o(k) be the second derivative of 1/10*k**5 - 4*k**2 + 24*k + 0 + n*k**3 - k**4. Suppose o(v) = 0. What is v?
1, 4
Factor -741/4 - 75/8*j + 3/8*j**2.
3*(j - 38)*(j + 13)/8
Suppose 12*q + 44 = 116. Suppose -72*p - 6*p**3 - 16 + q*p**5 + 0*p**4 + 52*p**4 - 76*p**2 - 32*p**4 = 0. What is p?
-2, -1, -1/3, 2
Let k(b) = 17*b**3 - 330*b**2 + 3593*b - 13000. Let h(n) = 8*n**3 - 165*n**2 + 1797*n - 6500. Let a(c) = 7*h(c) - 3*k(c). Find l, given that a(l) = 0.
10, 13
Factor 7/2*f + 0*f**2 - 10/3 - 1/6*f**3.
-(f - 4)*(f - 1)*(f + 5)/6
Let q(v) be the third derivative of v**6/80 - 91*v**5/20 - 367*v**4/16 - 46*v**3 - 22*v**2 + 5*v - 1. Factor q(x).
3*(x - 184)*(x + 1)**2/2
Let b(z) be the second deriv