93*x**2 + 698*x - 192. Let t be j(-100). Factor -338/3*y + 0 + 39*y**2 + t*y**3 + 1/3*y**4.
y*(y - 2)*(y + 13)**2/3
Let b(x) = 1 - 224*x**2 - 9 + 228*x**2 + 9*x. Let j(v) = -3*v**2 - 10*v + 9. Let c(z) = -4*b(z) - 5*j(z). Factor c(o).
-(o - 13)*(o - 1)
Let w(l) be the first derivative of 0*l + 25/4*l**4 + 20/3*l**3 - 3*l**5 - 10*l**2 - 81. Determine s so that w(s) = 0.
-1, 0, 2/3, 2
Let v(y) = y**3 + 4*y**2 + 3*y + 7. Let z be v(-4). Let f be ((-3)/z)/((-15)/75)*-1. Factor -f*l**4 - 3*l**2 + 2*l**2 + 9*l**3 - l**2 - 4*l**2.
-3*l**2*(l - 2)*(l - 1)
Let q(o) = o. Let t(c) = -c**2 + 89*c + 88. Let n(d) = 2*q(d) - t(d). Factor n(p).
(p - 88)*(p + 1)
Let h be 1066/104 - (12 - 3). Let z(y) be the second derivative of 0 - 1/16*y**5 + 5/24*y**3 - 5*y - 5/24*y**4 + h*y**2. Let z(w) = 0. What is w?
-2, -1, 1
Factor -301 - 603/2*h - 1/2*h**2.
-(h + 1)*(h + 602)/2
Let s(u) be the third derivative of -65/32*u**4 + u**2 + 0 - 9/80*u**5 - 169/24*u**3 - 5*u - 1/480*u**6. Factor s(b).
-(b + 1)*(b + 13)**2/4
Let p(f) be the first derivative of -11*f**4/6 - 16*f**3/3 + 29*f**2/3 + 4*f - 657. Find u such that p(u) = 0.
-3, -2/11, 1
Let x(a) be the third derivative of -a**6/420 - 23*a**5/210 - 65*a**4/42 + 46*a**2 - 13*a. Factor x(v).
-2*v*(v + 10)*(v + 13)/7
Find m, given that -2/7*m**2 + 620*m - 336350 = 0.
1085
Let a = -3/16582 - -4153/41455. Factor -3/10 - 1/10*r**2 + a*r**3 - 1/2*r.
(r - 3)*(r + 1)**2/10
Let s = 2 - -1. Suppose -2*v + 4 = 2*v, -3*q = -s*v - 6. Factor -6*m - q*m**2 - 2*m**2 - 6*m**2 + 2*m**2 + 3*m**4.
3*m*(m - 2)*(m + 1)**2
Let k(u) be the third derivative of u**7/70 - 181*u**6/10 + 65159*u**5/10 + 65703*u**4/2 + 131769*u**3/2 + 231*u**2. Factor k(g).
3*(g - 363)**2*(g + 1)**2
Let r be (20/7)/(-5) - (-18)/7. Let l be 2 - 2/r - (-23)/(-161). Let l - 2/7*v**2 + 4/7*v = 0. Calculate v.
-1, 3
Let x be 502970/52*(-12)/105. Let p = x + 1106. Let -p*h + 3/7 - 1/7*h**4 + 4/7*h**3 - 2/7*h**2 = 0. What is h?
-1, 1, 3
Let d = 779 - 775. Suppose 3*y = 2*n + 17, 5*y - d*n + 6 - 37 = 0. Factor 2/9*a**4 + 34/9*a + 34/9*a**2 + 4/3 + 14/9*a**y.
2*(a + 1)**2*(a + 2)*(a + 3)/9
Suppose y + 2*s = 157 - 135, 3*y + 2*s = 26. Factor 2/5*k**3 + 400 + 120*k + 12*k**y.
2*(k + 10)**3/5
Let j = -8372 - -502321/60. Let u(n) be the second derivative of 1/6*n**2 + 0 + 2*n + j*n**5 - 1/36*n**4 - 1/18*n**3. Solve u(d) = 0 for d.
-1, 1
Suppose 0 = -3*n + 4*g - 11 + 30, 9 = 2*n + g. Factor -62 - 46 - l**2 + n*l + 122.
-(l - 7)*(l + 2)
Let n = -317 + -274. Let b = n + 1183/2. Factor 0 + b*f**3 - 3/2*f + f**2.
f*(f - 1)*(f + 3)/2
Let p(b) be the third derivative of b**6/360 - 29*b**5/180 - 41*b**4/18 - 34*b**3/3 - 7821*b**2. Factor p(q).
(q - 34)*(q + 2)*(q + 3)/3
Let s(x) be the first derivative of -1/5*x**5 + 1/3*x**3 - 1/2*x**4 + x**2 - 9 + 0*x. Factor s(a).
-a*(a - 1)*(a + 1)*(a + 2)
Factor 10/3*b**2 + 2962*b - 3556/3.
2*(b + 889)*(5*b - 2)/3
Let r(f) be the second derivative of -25*f**7/56 + 4*f**6 - 279*f**5/40 - 61*f**4/4 + 115*f**3/8 - 9*f**2/2 + 4*f - 815. Find j, given that r(j) = 0.
-1, 1/5, 3, 4
Let t(g) = -g**2 + 6*g + 18. Let k be t(8). Factor 3 - 574*n**k + 569*n**2 + 17 + 15*n.
-5*(n - 4)*(n + 1)
Let s(x) be the first derivative of x**6/60 - x**5/40 - 13*x**4/24 + 25*x**3/12 - 3*x**2 + 59*x - 34. Let q(r) be the first derivative of s(r). Factor q(n).
(n - 3)*(n - 1)**2*(n + 4)/2
Let s be -6*(315/(-150) + (-5)/(-50)). Let d(p) be the second derivative of 0 + 2/3*p**4 - 10/3*p**3 - s*p**2 - 20*p + 1/5*p**5. Factor d(b).
4*(b - 2)*(b + 1)*(b + 3)
Suppose -266*t + 24 = -258*t. What is v in -622 - 4*v**2 + 2*v**2 - 105*v - 836 - t*v = 0?
-27
Let x(t) = -2*t**4 - 1166*t**3 - 453956*t**2 - 59314336*t - 116822146. Let f(r) = r**4 - 4*r**2 + 2. Let n(z) = 3*f(z) + 3*x(z). Factor n(l).
-3*(l + 2)*(l + 388)**3
Let n(l) be the first derivative of l**4/26 - 18*l**3/13 - 1902. Suppose n(h) = 0. What is h?
0, 27
Let h = -1774 - -1241. Let t = 533 + h. What is u in -1/3*u**2 - 7/6*u**3 + 0 - 5/6*u**4 + t*u = 0?
-1, -2/5, 0
Let t(o) = 9*o**3 - 78*o**2 + 478*o + 4. Let b(j) = 48*j**3 - 390*j**2 + 2389*j + 22. Let w(x) = 2*b(x) - 11*t(x). Factor w(a).
-3*a*(a - 16)*(a - 10)
Let m(x) be the second derivative of 19*x**4/42 + 311*x**3/7 + 14*x**2 - 11735*x. Solve m(y) = 0.
-49, -2/19
Let n be 75/((12/18)/(-4 - -6)). Let x be ((6/(-15))/((-12)/n))/3. Determine k, given that -3/2*k - x*k**2 - 1/2*k**3 + 9/2 = 0.
-3, 1
Let u(l) be the third derivative of l**8/2184 - 22*l**7/455 + 29*l**6/390 + 6*l**5/5 - 851*l**4/156 + 10*l**3 - 1597*l**2. Determine p so that u(p) = 0.
-3, 1, 2, 65
Suppose 0 = 7*g - 4*g - 5*g. Suppose g = 2*j + 8, -2*a - 15 + 3 = 4*j. Factor -27*u + 475 + 7*u - 5*u**a - 475.
-5*u*(u + 4)
Let h = -2/741 - -955/79287. Let c = 1081/1177 - h. Factor 8/11*w - 2/11*w**2 + c.
-2*(w - 5)*(w + 1)/11
Let s(j) be the first derivative of -4*j**3/3 - 48*j**2 + 4048*j - 11802. Let s(v) = 0. Calculate v.
-46, 22
Let u(v) = v**2 + 12*v - 69. Let s be u(-17). Suppose -37*f**3 + 2 + 33*f**3 - 12*f - 2 - s*f**2 = 0. What is f?
-3, -1, 0
Let l(f) = 2*f - 27. Suppose 7*n - 2*n = v - 11, 47 = 3*v - n. Let z be l(v). Factor -b**2 + 4*b**2 + z*b**2 + 0*b**2 - 6*b - 2*b**3.
-2*b*(b - 3)*(b - 1)
Determine s, given that -5875*s**2 - 10*s**4 - 182*s**3 + 1899*s**2 + 1689*s**2 + 1931*s**2 - 64*s = 0.
-16, -2, -1/5, 0
Let j be (7 - 5) + 3 + -1. Suppose l = -l + j. Factor 0*f**l + 4*f - 4*f**2 - 8*f.
-4*f*(f + 1)
Let c(x) = 11*x**2 + 12*x - 24. Let b be c(2). Let p be (-11)/b*-8*(-76)/(-14). Factor -2/7*m**5 - p*m**2 - 50/7*m**3 - 8*m - 16/7 - 16/7*m**4.
-2*(m + 1)**2*(m + 2)**3/7
Let r(w) = -2*w**2 + 3576*w - 799228. Let t(n) = -n**2 - 4. Let z(k) = r(k) + 2*t(k). Factor z(j).
-4*(j - 447)**2
Let j(r) = -134*r + 464. Let f be j(-7). Let p = f + -7006/5. Find l, given that -2/5*l**2 - 2/5 - p*l = 0.
-1
Let b(k) be the first derivative of 6*k**5/5 - 1094*k**4 + 796430*k**3/3 + 266450*k**2 - 1403. What is r in b(r) = 0?
-2/3, 0, 365
Let a(o) = 5*o**2. Let x(u) = -u**3 + 31*u**2 - 3*u - 4. Let g(s) = s**2 + s - 1. Let k(i) = 4*g(i) - x(i). Let t(v) = -35*a(v) - 5*k(v). Factor t(q).
-5*q*(q + 1)*(q + 7)
Factor -84*j + 35824*j**3 - 71641*j**3 - 16*j**2 + 35821*j**3.
4*j*(j - 7)*(j + 3)
Factor -7847 - 544*z + 1242*z + 814*z - 277921 - 2*z**2.
-2*(z - 378)**2
Let t(l) = 11*l**2 - 57*l + 702. Let v(q) = -25*q**2 + 111*q - 1404. Let p(g) = 9*t(g) + 4*v(g). Determine o so that p(o) = 0.
-78, 9
Let k be 3612/(-45150) + (-24)/(-50). Factor k*y**2 - 6*y + 0.
2*y*(y - 15)/5
Let p(c) = c**3 - 25*c**2 + 23*c + 54. Let y be p(24). Determine h so that -18*h - 16*h + 0*h - y + 9*h + 0*h**2 - 5*h**2 = 0.
-3, -2
Let r = 5461172/19 - 287430. Determine l so that 0 - r*l**3 - 1058/19*l - 92/19*l**2 = 0.
-23, 0
Find g, given that 0*g**2 + 0 + 0*g - 8/9*g**5 + 4/3*g**4 + 4*g**3 = 0.
-3/2, 0, 3
Let z(h) = 145 - 21 + 0*h + 8*h + 4*h + 418. Let o be z(-45). Factor 8/7 + 2*k + 4/7*k**o - 2/7*k**3.
-2*(k - 4)*(k + 1)**2/7
Suppose 3*r = 3*x - 12, 3*x - 4*x - r = 6. Let i(p) = -7*p**2 + 4*p + 6. Let o(k) = 2*k**2 - 2*k + 1. Let d(t) = x*i(t) + 3*o(t). Factor d(b).
(b - 1)*(13*b + 3)
Let y be -5 - 15/(7 - 10). Suppose 4*r = -2*z - 0 + 14, -5*r - z + 19 = y. Factor 0 - 25/3*u**2 + 5/3*u**r + 5*u + 5/3*u**3.
5*u*(u - 1)**2*(u + 3)/3
Let z(j) be the first derivative of 4*j**5/25 + 4*j**4/5 - 4*j**3/15 - 8*j**2/5 - 179. Let z(y) = 0. What is y?
-4, -1, 0, 1
Let u(a) be the second derivative of -a**4/8 + 57*a**3/4 - 42*a**2 + 566*a + 1. Factor u(g).
-3*(g - 56)*(g - 1)/2
Let h = -1558436 + 1558607. Factor h*w - 3/2*w**2 - 9747/2.
-3*(w - 57)**2/2
Suppose -f - 19 + 5 = 4*n, -7 = 3*f + 5*n. Suppose 0 = f*s - 12*s + 10*s. Solve s*u**3 + 0*u - 2/13*u**4 - 2/13 + 4/13*u**2 = 0.
-1, 1
Let n = 124685 - 124680. Factor 10/3*q - n*q**3 + 0 - 25/3*q**2.
-5*q*(q + 2)*(3*q - 1)/3
Let y = 10046/1829 - -27/3658. Solve 6 + y*b - 1/2*b**2 = 0.
-1, 12
Let h(n) be the second derivative of 13*n**7/84 + 289*n**6/180 - 1289*n**5/60 + 1733*n**4/36 + 601*n**3/12 + 39*n**2/4 - n + 377. Suppose h(i) = 0. What is i?
-13, -1/3, -1/13, 3
Let m(z) be the third derivative of z**7/1365 - 11*z**6/390 + 41*z**5/390 - 5*z**4/39 + 66*z**2 - 5. Factor m(p).
2*p*(p - 20)*(p - 1)**2/13
Let r(c) be the first derivative of -c**6/80 - c**5/8 - c**4/4 + 5*c**2/2 - 54. Let b(l) b