*w + 8. Let z(o) = -2*o**3 + o**2 - 2*o + 1. Let j(n) = -5*p(n) + 30*z(n). Factor j(t).
-5*(t - 2)*(t - 1)*(t + 1)
Solve 87*r**3 + 2249*r**2 + 5*r**4 - 4200*r - 459*r**2 + 113*r**3 + 2205 = 0 for r.
-21, 1
Let g(h) = h**3 + 9*h**2 + 2*h. Let t(z) = -2*z**2. Let i(b) = -2*g(b) - 6*t(b). Factor i(k).
-2*k*(k + 1)*(k + 2)
Solve -1/5*u**5 + 0*u**4 + 8/5*u - 18/5*u**2 + 11/5*u**3 + 0 = 0 for u.
-4, 0, 1, 2
Let r be 50/63 - 2/9. Let c be (-504)/198 - -2 - 858/(-242). Find g such that 24/7*g**c + 40/7*g - 48/7*g**2 - r*g**4 - 12/7 = 0.
1, 3
Let r(n) be the second derivative of n**6/30 - 7*n**5/60 + n**4/12 + 37*n**3/6 - n + 13. Let f(m) be the second derivative of r(m). Factor f(k).
2*(k - 1)*(6*k - 1)
Let b be (-5)/(-25)*150/13440. Let d(o) be the third derivative of 0*o**3 + b*o**8 + 0*o**5 + 0 + 0*o + 1/70*o**7 + 0*o**4 + 1/40*o**6 - 10*o**2. Factor d(h).
3*h**3*(h + 2)**2/4
Let 44/5*q - 16 + 2/5*q**2 - 2/5*q**3 = 0. What is q?
-5, 2, 4
Suppose -196*v - 8 = -200*v. Determine l, given that v + 6 - 3*l - 5*l**2 - l**3 - 3 + 4*l = 0.
-5, -1, 1
Let u(b) = -20*b**4 - 9*b**3 + 29*b**2 + 5*b + 5. Suppose -10*r = -20*r + 10. Let i(p) = -p**4 + p**2 + p + 1. Let f(k) = r*u(k) - 5*i(k). Factor f(z).
-3*z**2*(z - 1)*(5*z + 8)
Determine p, given that 8 - 734*p + 1465*p - 737*p + p**2 = 0.
2, 4
Let u(k) be the third derivative of -2*k**7/105 - 16*k**6/5 + 13*k**5 - 49*k**4/3 - 2183*k**2. Factor u(p).
-4*p*(p - 1)**2*(p + 98)
Let b(t) be the third derivative of -t**6/660 + 97*t**5/110 + 293*t**4/66 - t**2 + 4*t + 2. Factor b(p).
-2*p*(p - 293)*(p + 2)/11
Let n(c) = 898*c**2 + 900*c + 4. Let j be n(-1). Factor -6/7*r**3 - 111/7*r**j - 540/7*r - 243/7.
-3*(r + 9)**2*(2*r + 1)/7
Let y = -26 - -27. Let s be y/((-352)/356 - -1). Factor s - 60*n + 93 + 6 - 8 + 5*n**2.
5*(n - 6)**2
Suppose 1275 = 80*g - 29*g. Let t(s) be the third derivative of -49/27*s**3 + 0*s - 7/54*s**4 - 1/270*s**5 + 0 + g*s**2. What is p in t(p) = 0?
-7
Let c(a) = -a**3 - 3*a**2 + 3*a + 1. Let g(w) = 4*w**3 + 6*w**2 - 58*w - 48. Let n(d) = -6*c(d) - 2*g(d). What is i in n(i) = 0?
-5, -1, 9
Let q(d) be the first derivative of -3*d**6 + 68*d**5/5 - 23*d**4 + 16*d**3 - d**2 - 4*d - 1293. Find g, given that q(g) = 0.
-2/9, 1
Let y(p) = -5*p**2 + 148*p + 1453. Let m(k) = 5*k**2 - 147*k - 1462. Let h(t) = 3*m(t) + 2*y(t). Let h(b) = 0. What is b?
-8, 37
Let c(f) = 2*f**2 + 6*f - 30. Let b be c(3). Let w be (b/(-9) - (-4)/(-3))/(-8). Factor 1 - w*x**2 + 3/4*x.
-(x - 4)*(x + 1)/4
Let l(m) be the first derivative of -9*m**7/28 + 21*m**6/20 - 6*m**5/5 + m**4/2 + 86*m - 54. Let b(c) be the first derivative of l(c). What is r in b(r) = 0?
0, 2/3, 1
Let r(a) = -8*a**2 + 124*a - 57. Let c be r(15). Let f(v) be the first derivative of 4/5*v - 6/5*v**2 - 1/5*v**4 + 18 + 4/5*v**c. What is x in f(x) = 0?
1
Let g be 342/63 + (-84)/98. Factor -g*l - 16/7 + 20/7*l**2.
4*(l - 2)*(5*l + 2)/7
Suppose -12*i + 11*i + 1734 = 4*s, 3*s - 1295 = 2*i. Suppose -421 + s = 3*z. Factor 0 + 5/3*x**5 + 15*x**3 - 25/3*x**z + 10/3*x - 35/3*x**2.
5*x*(x - 2)*(x - 1)**3/3
Let b be (14 - 285/27) + 12/(-108). Find r such that 5/3 + 5/3*r**2 - b*r = 0.
1
Let i = 136 - 120. Suppose 32*z**3 - 18235*z**5 + 1 + i*z**4 - 1 + 18237*z**5 = 0. Calculate z.
-4, 0
Suppose 7*w - 19 = 2. Suppose f + w*k + 15 = 2*f, -2*f = -4*k - 22. Factor 29*d + 7*d**2 + 40 - 9*d - 17*d**2 - 5*d**f.
-5*(d - 2)*(d + 2)**2
Let y = 28/45 + -67/180. Let v be 1 + (-8)/(-10) - 1008/(-840). Suppose -1/6*q**2 + q - 2/3 - y*q**v + 1/12*q**4 = 0. Calculate q.
-2, 1, 2
Suppose 7*t + 16 = 3*t - 2*u, -40 = -3*t + 5*u. Let o(x) be the first derivative of 1/14*x**4 + 0*x + t*x**3 + 25 - 1/7*x**2. Factor o(j).
2*j*(j - 1)*(j + 1)/7
Determine g, given that 1084*g**2 + 4*g + 85*g**3 - 4*g + 0*g + 5*g**4 - 874*g**2 = 0.
-14, -3, 0
Let z be (-102)/1581 - (628/(-124) + 5). Factor z + 0*t + 1/3*t**2 + 1/9*t**3.
t**2*(t + 3)/9
Let t(m) be the first derivative of -m**4/8 - 9*m**3 - 243*m**2 - 2916*m - 1051. Factor t(x).
-(x + 18)**3/2
What is a in -96*a**2 - 3016/3 + 4/3*a**3 + 1100*a = 0?
1, 13, 58
Suppose -93*n + 491*n + 540*n = 187*n + 3004. Find l, given that 0 - 1/2*l**n - 2*l**3 - 1/2*l**2 + 3*l = 0.
-3, -2, 0, 1
Factor -1/2*t**3 + 351/2 + 33/2*t**2 + 225/2*t.
-(t - 39)*(t + 3)**2/2
Suppose -400*j + 405*j = 0. Let u(s) be the first derivative of 17 + 1/3*s**6 + j*s**3 - s**4 + 0*s + 0*s**5 + s**2. Solve u(r) = 0 for r.
-1, 0, 1
Let q = 107257 + -107257. Factor q - 1/8*n**3 + 1/4*n**2 + 3/8*n.
-n*(n - 3)*(n + 1)/8
Suppose 34*x**2 - 156*x - 27*x + 101*x**2 - 297*x - 5*x**3 + 460 = 0. What is x?
2, 23
Let i be (14/12 + -1)/((-1615)/(-228) - 7). Let s(o) be the first derivative of -1/18*o**3 - 5/12*o**i - 14 - 2/3*o. Factor s(b).
-(b + 1)*(b + 4)/6
Let s(w) be the third derivative of w**7/1365 - w**6/78 + 29*w**5/390 - 5*w**4/39 + 2*w**2 + 1280. Factor s(g).
2*g*(g - 5)*(g - 4)*(g - 1)/13
Let p(y) be the third derivative of -y**7/70 + 7*y**6/2 - 207*y**5/10 + 103*y**4/2 - 137*y**3/2 - 152*y**2 - 10. Solve p(o) = 0.
1, 137
Let u be 2*6999/(-38676)*(-1)/(-2). Let i = 1/1172 - u. Factor -i*m**2 + 2/11 + 0*m.
-2*(m - 1)*(m + 1)/11
Factor -1160/7*h + 6800/7 + 2/7*h**3 + 4*h**2.
2*(h - 10)**2*(h + 34)/7
Let m = -676743/2 - -338376. Factor 1/2*g**4 - 39/2*g + 29/2*g**2 + 9 - m*g**3.
(g - 3)**2*(g - 2)*(g - 1)/2
Let t = 1513/13 - -29/26. Let f = 122 - t. Suppose 0*k - 8*k**3 - 21/2*k**4 - 2*k**2 + 0 - f*k**5 = 0. Calculate k.
-1, -2/3, 0
Suppose 498 = 266*u - 6*u - 542. Let z(k) be the second derivative of -1/3*k**u + 2*k**2 + 3/20*k**5 + 0 - 1/2*k**3 - 2*k. Let z(d) = 0. Calculate d.
-1, 1, 4/3
Factor 29688 - 486*n**2 - 5*n**3 + 176*n**2 - 3740*n + 4992.
-5*(n - 6)*(n + 34)**2
Let z(t) be the first derivative of -t**6/60 + t**4/24 + 10*t - 39. Let d(b) be the first derivative of z(b). Factor d(r).
-r**2*(r - 1)*(r + 1)/2
Let i be (-1 - 175/(-161)) + (-3 - (-762)/230). Let p = 133/15 + -23/3. Factor 4/5*a - p + i*a**2.
2*(a - 1)*(a + 3)/5
Let r(i) be the first derivative of 1/25*i**5 + 0*i - 10*i**2 - 27 - 1/300*i**6 + 0*i**3 + 7/60*i**4. Let c(m) be the second derivative of r(m). Factor c(d).
-2*d*(d - 7)*(d + 1)/5
Let c(z) = -22 + 25 - 1 + z**2 - 1. Let u(x) = -2*x + 3*x**2 + 2*x**3 + 0 + 3 + 0*x**3. Let f(j) = -3*c(j) + u(j). Factor f(w).
2*w*(w - 1)*(w + 1)
Let c be (-627)/(-42) + 24/336. Let -24*b**2 + 18*b**3 - 108*b**2 - c*b**3 + 1452*b = 0. What is b?
0, 22
Let p be (6 - 14) + 68/1. Solve -150*q + 7*q**2 + 27*q**3 - 22*q**3 - 32*q**2 + 20*q**2 - p*q**2 = 0 for q.
-2, 0, 15
Let h(a) = -10*a**2 + 176*a - 27. Let t(w) = -11*w**2 + 174*w - 25. Let x(d) = 6*h(d) - 5*t(d). Factor x(r).
-(r - 37)*(5*r - 1)
Let s(h) = 20*h. Suppose v - 1 = 5*t - 6, -4*v = 2*t - 2. Let y be s(t). Solve -z**5 - 21*z**4 + y*z**2 + 5*z - 7*z**3 + 6*z**5 - 3*z**3 + 11*z**4 - 10 = 0.
-1, 1, 2
Let s be -10 + 33/11 - 2618/(-330). Factor -56/15*r + 40/3*r**2 - s*r**3 + 0.
-2*r*(r - 14)*(7*r - 2)/15
Let o(g) be the first derivative of 3/5*g**2 - 7/15*g**3 + 8/5*g - 3/10*g**4 - 1/25*g**5 - 38. Let o(j) = 0. What is j?
-4, -2, -1, 1
Let z be 6/10*-25*147/(-945) - 2. Let x(q) be the first derivative of 121*q + z*q**3 - 11*q**2 - 13. Solve x(f) = 0 for f.
11
Let c(s) be the second derivative of -s**4/4 - 74*s**3 + 450*s**2 + 1053*s. Solve c(p) = 0.
-150, 2
Let f be (-95)/9*((-478)/(-5) + -96). Factor -f - 40/9*r - 2/9*r**2.
-2*(r + 1)*(r + 19)/9
Suppose 0 = 5*h + 94*k - 1128, 123*h + k = 119*h + 12. Solve 0 + 26/5*a**2 + h*a + 2/5*a**3 = 0.
-13, 0
Factor 5713200*p - 8280*p**2 - 697501122 - 324699876 + 4*p**3 - 291835002.
4*(p - 690)**3
Let a = 3114 - 3111. Let q(r) be the first derivative of -2/9*r + 13 - 1/18*r**2 + 1/27*r**a. Factor q(n).
(n - 2)*(n + 1)/9
Suppose -3*r + 35 = 5*t, r + 9 = 4*t - 2. Suppose 147*j**4 + 57*j**3 + 21 - 68*j**t + 75*j - 67*j**4 + 99*j**2 = 0. Calculate j.
-7/4, -1
Let j be -2 - -1*2925/20. Let k = j + -144. Factor k*x**2 - 3/2 - 5/4*x.
(x - 6)*(x + 1)/4
Let a be ((-5808)/(-77))/(-11)*(-7 - 0). Let k be (2574/(-330))/(6/(-80)). Factor -a + k*v + 10/3*v**3 + 116/3*v**2.
2*(v + 6)**2*(5*v - 2)/3
Let -23/4*l**3 + 0 + 1/4*l**5 - 33/4*l**2 - 3/4*l**4 - 7/2*l = 0. What is l?
-2, -1, 0, 7
Let -355*d**4 - 2954/3*d**2 - 1716*d - 50/3*d**5 + 1749*d**3 - 408 = 0. What is d?
-51/2, -2/5, 2, 3
Let b(c) = 