 3 + 0*h - 1/45*h**5 - 1/36*h**4 + 1/180*h**6 + 2/9*h**3. Factor p(w).
2*(w - 2)*(w - 1)*(w + 1)/3
Suppose -286 = z - a, -632 - 219 = 3*z + 4*a. Let y = z - -287. What is d in 1/6*d**y - 2/3 + 0*d = 0?
-2, 2
Let p = -210 + 214. Factor -5*r + 31018*r**p - 31015*r**4 + 11*r + 12*r**3 + 15*r**2.
3*r*(r + 1)**2*(r + 2)
Let g(t) be the third derivative of -t**7/1680 - 101*t**6/960 - 299*t**5/60 + 169*t**4/4 - t**2 + 875. Factor g(u).
-u*(u - 3)*(u + 52)**2/8
Let r(y) be the third derivative of -y**6/3960 + 3*y**5/440 - y**4/33 - 15*y**3/2 - 2*y**2 + 6. Let k(x) be the first derivative of r(x). Solve k(g) = 0 for g.
1, 8
Let t = -1663/370 - -170/37. Let x(n) be the first derivative of t*n**5 - 9 + 0*n + 1/8*n**4 + 0*n**3 + 0*n**2. Solve x(d) = 0 for d.
-1, 0
Let z(g) = 414*g - 9105. Let i be z(22). Factor 10/3*y - 2*y**2 - 14/9 + 2/9*y**i.
2*(y - 7)*(y - 1)**2/9
Factor 3/2*j**4 + 0*j + 153/2*j**2 + 0 - 30*j**3.
3*j**2*(j - 17)*(j - 3)/2
Factor -12*s**3 - 428 - 112*s**2 - 476*s - 892*s - 468*s - 220 + 432*s**2.
-4*(s - 18)*(s - 9)*(3*s + 1)
Let z(c) be the second derivative of c**6/600 - 11*c**5/300 + 7*c**4/120 + 10*c**3 - 80*c. Let y(h) be the second derivative of z(h). Let y(t) = 0. What is t?
1/3, 7
Suppose -2*i + 2 = g - 4, -5*i - 3 = -2*g. Let d = 2/77207 + 308822/231621. What is b in -d*b**5 + 64/3*b**g + 0 - 120*b**3 - 500/3*b + 800/3*b**2 = 0?
0, 1, 5
Let b(c) be the third derivative of c**6/200 + 2*c**5/25 + c**4/8 - 7*c**3/5 - 1280*c**2. Let b(k) = 0. What is k?
-7, -2, 1
Suppose 5*x = 3*z + 32, -3*x - 5*z = x + 4. Suppose 59 = x*c + 51. Factor -4/7*y + 0 - 4/7*y**c.
-4*y*(y + 1)/7
Let y(n) = n**2 + 8*n - 33. Let h(w) = -w**2 + w + 9. Let b be h(3). Let m be y(b). Factor m*a - 2/7*a**3 - 2/7*a**2 + 0.
-2*a**2*(a + 1)/7
Suppose 1685*h**4 + 1130*h**3 - 1023*h + 663*h**4 - 656*h**4 - 1684*h**2 + 570*h**3 - 677*h - 8 = 0. What is h?
-1, -2/423, 1
Let o(s) = -s**3 + 9*s**2 + 24*s + 20. Let x(w) = w**3. Suppose 0 = -5*i + 4*g - 6, -13*i + 8*i + g - 9 = 0. Let a(y) = i*o(y) - 4*x(y). Factor a(k).
-2*(k + 2)**2*(k + 5)
Let q(f) be the third derivative of f**6/270 + 7*f**5/90 + 329*f**3/6 - 265*f**2. Let x(p) be the first derivative of q(p). Let x(u) = 0. What is u?
-7, 0
Let b(n) = 5*n**3 + 16045*n**2 + 8586755*n + 1531303745. Let f(a) = 8*a**3 + 24068*a**2 + 12880132*a + 2296955618. Let z(h) = -7*b(h) + 5*f(h). Factor z(u).
5*(u + 535)**3
Let f(r) = 7*r**3 - 20*r**2 + 19*r + 6. Let p(v) = -7*v**2 + 0*v**3 - 3*v**3 - 7*v**2 + 15*v**2. Let j(b) = -5*f(b) - 5*p(b). Let j(t) = 0. Calculate t.
-1/4, 2, 3
Let m(q) be the second derivative of 1/180*q**6 + 0*q**2 + 1/120*q**5 + 5/9*q**3 + 0 + 59*q - 2/9*q**4. Solve m(w) = 0.
-5, 0, 2
Let s(n) be the second derivative of -75*n**3 + 17*n + 15/4*n**4 - 3/40*n**5 + 750*n**2 + 0. Factor s(h).
-3*(h - 10)**3/2
Suppose 9 = x + x + 5*p, p = -4*x + 9. Let l = -2 - -4. Find b, given that -13*b - l*b**4 - x*b**3 + 18*b - 5*b = 0.
-1, 0
Let g = 353/840 + -13/40. Let a(x) = x**2 + 1056*x + 6303. Let t be a(-6). Solve g*u**2 - 2/21*u**t - 2/21*u**4 + 0 + 2/21*u = 0 for u.
-1, 0, 1
Let c(a) be the first derivative of a**5 + 165*a**4/4 + 155*a**3 + 455*a**2/2 + 150*a - 1871. Factor c(h).
5*(h + 1)**3*(h + 30)
Let y(c) = -2*c**3 + 33*c**2 - 106*c - 22. Let h be y(12). Determine d so that 0*d + 2/3*d**h - 2/3 = 0.
-1, 1
Find u such that 572/5*u + 4/5*u**4 - 188/5*u**3 - 376/5 - 12/5*u**2 = 0.
-2, 1, 47
Let f(t) be the second derivative of t**6/135 - 77*t**5/30 + 17*t**4/2 - 229*t**3/27 - 1288*t. Factor f(l).
2*l*(l - 229)*(l - 1)**2/9
Let r be 25*(4/(-10))/(-16 - ((-2310)/11)/14). Find s such that 95/2*s**2 + 0 - 185/4*s**3 + 35/4*s**4 - r*s = 0.
0, 2/7, 1, 4
Let d(q) be the first derivative of -q**6/2 - 1089*q**5/5 - 25110*q**4 - 97200*q**3 + 2213. Factor d(m).
-3*m**2*(m + 3)*(m + 180)**2
Let g = 166 - 142. Suppose 4*i = -t + 68, -i - 3*t + t + g = 0. Factor -h - 15*h - 4*h**2 - i + h**2 - h**2.
-4*(h + 2)**2
Let i(l) be the second derivative of -2 - 7/8*l**3 - 112*l - 15/16*l**4 + 3/4*l**2. Factor i(n).
-3*(3*n + 2)*(5*n - 1)/4
Let n = -4 + 22. Let q = 13 - n. Let z(k) = 8*k**2 + 41*k + 108. Let j(o) = 9*o**2 + 42*o + 108. Let y(r) = q*j(r) + 6*z(r). Factor y(s).
3*(s + 6)**2
Let i be (-1)/((9/(-6))/3). Suppose 0 = -5*z - 2*a + 25, i*a - 22 = z - 5*z. Factor z*l + 15 + 7*l - 5*l**2 + 0*l.
-5*(l - 3)*(l + 1)
Let z(l) be the second derivative of l**5/50 + 62*l**4/5 + 371*l**3/15 + 5637*l. Factor z(s).
2*s*(s + 1)*(s + 371)/5
Let o(w) be the first derivative of w**6/15 - 12*w**5/25 + w**4 - 11*w**2/5 + 12*w/5 - 3295. Determine j, given that o(j) = 0.
-1, 1, 2, 3
Let i(f) = 439*f**2 - 82*f + 8. Let u(p) = 1316*p**2 - 245*p + 26. Suppose 3*m + 57 = -6. Let k(c) = m*i(c) + 6*u(c). Factor k(o).
-3*(21*o - 2)**2
Let y(j) = 14*j**2 - 20*j + 8. Let g(b) = -b**3 + 14*b**2 - 20*b + 8. Let a = -78 - -80. Let i(t) = a*y(t) - 3*g(t). Factor i(v).
(v - 2)**2*(3*v - 2)
Let p = 17 + 26. Find z such that -p*z - 13*z - 4*z - 35*z + 150 + 5*z**3 = 0.
-5, 2, 3
Let o be -4 + 42/9 - 46/6. Let t(x) = x**3 + 8*x**2 + 3*x - 20. Let z be t(o). Factor 11 - 285*q**2 - z*q**2 - 14 + 72*q - 139*q**2.
-3*(12*q - 1)**2
Let c(o) = 8*o**2 - 302*o - 438. Let u(i) = 7*i**2 - 287*i - 437. Let l(y) = 5*c(y) - 6*u(y). Let l(v) = 0. Calculate v.
-2, 108
Factor -1/4*g**4 - 3/2*g**2 - 13*g + 3*g**3 - 33/4.
-(g - 11)*(g - 3)*(g + 1)**2/4
Let c(y) = 12*y**2 - 13*y - 57. Let n be c(-5). Let s be 1/6*-2 + n/726. Factor 1/11*u**4 + 1/11*u**3 + 0 + 0*u - 1/11*u**5 - s*u**2.
-u**2*(u - 1)**2*(u + 1)/11
Let x(p) be the first derivative of p**6/1440 - 49*p**5/480 - 25*p**4/48 + 5*p**3/3 - 18*p + 137. Let s(y) be the third derivative of x(y). Factor s(a).
(a - 50)*(a + 1)/4
Let k(a) be the first derivative of -a**5/70 + a**4/6 + 8*a**3/21 - 4*a - 62. Let j(t) be the first derivative of k(t). Solve j(c) = 0.
-1, 0, 8
Suppose 90*k - 9475 = -54655. Let q = k - -502. Factor q - 1/2*z**2 + 3*z - 1/2*z**3.
-z*(z - 2)*(z + 3)/2
Let 159*r**2 + 618 - 159522*r**3 - 1233*r + 205*r**2 + 159525*r**3 + 248*r**2 = 0. Calculate r.
-206, 1
Let t(h) be the second derivative of -h**4/12 + 100*h**3 - 598*h**2 + h + 9237. Let t(y) = 0. What is y?
2, 598
Let q(l) be the second derivative of -l**4/24 + 40*l**3 - 14400*l**2 - 2540*l. Solve q(o) = 0 for o.
240
Suppose 20*v + 14 = 13*v. Let i = v + 14/5. Suppose 2/3*d**2 + i + 34/15*d = 0. Calculate d.
-3, -2/5
Factor -60000 - 2/3*i**2 + 400*i.
-2*(i - 300)**2/3
Determine a, given that -3*a**5 - a**5 + 36*a + 2*a + 52*a**3 - 86*a - 4*a**2 + 4*a**4 = 0.
-3, -1, 0, 1, 4
Let v be -56 - 3/(1 + -4). Let t = 58 + v. Factor -13*i**2 - 4*i**5 + 2*i**4 - 18*i**4 - 20*i**t + 5*i**2.
-4*i**2*(i + 1)**2*(i + 2)
Let z(s) = -5*s**2 - 745*s - 1310. Let b(x) = -8*x. Let d(i) = 10*b(i) - z(i). Suppose d(f) = 0. Calculate f.
-131, -2
Let i(n) be the second derivative of n**7/21 + 78*n**6/35 + 729*n**5/70 + 121*n**4/21 - 284*n**3/7 - 360*n**2/7 + 10*n - 155. What is p in i(p) = 0?
-30, -2, -3/7, 1
Let q(v) be the third derivative of -v**8/1064 + v**7/105 - 9*v**6/380 - 11*v**5/570 + 5*v**4/38 - 8*v**3/57 - 1778*v**2. Determine p so that q(p) = 0.
-1, 1/3, 1, 2, 4
Let r(v) = v**3 + 72*v + 2394*v**2 - 1202*v**2 - 7 - 1209*v**2. Let x be r(7). Suppose -1/2 - 221/8*a**2 - 169/8*a**3 - x*a = 0. What is a?
-1, -2/13
Let x(n) = n**4 + 208*n**2 - 2 - n**3 + n**3 - 207*n**2. Let f(m) = -494*m**4 + 6600*m**3 - 7434*m**2 + 2912*m - 396. Let u(d) = -f(d) + 6*x(d). Factor u(o).
4*(o - 12)*(5*o - 2)**3
Let c be (-60)/(-140)*(6 - -1). Let h be (4/(-36))/((4/c)/(-4)). Factor 0 - 1/3*d**2 - 1/3*d**3 + h*d**4 + 1/3*d**5 + 0*d.
d**2*(d - 1)*(d + 1)**2/3
Let z be (5/9 + -1)/((-89)/801). Let y(i) = -8*i**2 + 36*i - 25. Let t(v) = 7*v**2 - 33*v + 26. Let l(w) = z*y(w) + 5*t(w). Suppose l(u) = 0. What is u?
2, 5
Let u be (1478 - -64)/(1/(3/(-2))). Let g = -6938/3 - u. Factor 0 + 1/9*i**2 + g*i.
i*(i + 3)/9
Let s = 4236/1235 + -64/19. Let c = s - -53/195. Factor 0*j**2 - 1/6 + 1/3*j - c*j**3 + 1/6*j**4.
(j - 1)**3*(j + 1)/6
Let p(y) be the second derivative of y**6/165 - 3*y**5/55 - 35*y**4/66 - 16*y**3/11 - 20*y**2/11 - 28*y - 6. Find n such that p(n) = 0.
-2, -1, 10
Let k be 30 - (-2)/(-3)*-3. Factor -34*v - 17*v - 9 - 16 + 7 + k*v**2 + 37*v**2.
3*(v - 1)*(23*v + 6)
Suppose 2*n + v 