 m(j) be the third derivative of 15/8*j**4 + 0 - b*j**3 + 17*j**2 + 0*j - 7/12*j**5. Factor m(s).
-5*(s - 1)*(7*s - 2)
Let c(i) be the third derivative of i**7/735 - 2*i**6/21 + 5*i**5/6 - 2391*i**2. Let c(k) = 0. Calculate k.
0, 5, 35
Let r be ((-1 - (-4)/(-8))/((-66)/231))/((-30)/(-32)). Factor r*c**2 + 8/5 + 26/5*c + 2*c**3.
2*(c + 1)**2*(5*c + 4)/5
Let f(c) be the first derivative of -1/9*c**6 + 1/2*c**4 - 2/15*c**5 - 89 + 0*c + 2/9*c**3 - 2/3*c**2. Find b such that f(b) = 0.
-2, -1, 0, 1
Let p(d) = 2*d**3 + 4*d**2 + 2*d - 1. Let x be p(-1). Let c be 5 - (-18)/15 - (4 - x). Let -c*g**2 + 0 - 2/5*g**3 - 4/5*g = 0. What is g?
-2, -1, 0
Let u(n) be the second derivative of -1/120*n**5 + 1/1800*n**6 + 1/6*n**3 + 0*n**2 + 0*n**4 + 0 - 5*n. Let q(m) be the second derivative of u(m). Factor q(g).
g*(g - 5)/5
Let f(r) = 10*r**5 + 9*r**4 - 142*r**3 + 14*r**2 - 14*r + 7. Let k(l) = 3*l**5 + 2*l**4 - 47*l**3 + 4*l**2 - 4*l + 2. Let p(c) = 2*f(c) - 7*k(c). Factor p(q).
-q**3*(q - 9)*(q + 5)
Let t = -140 - -1062. Let l = -6442/7 + t. Factor 0 + 3/7*d**3 - l*d**2 + 9/7*d.
3*d*(d - 3)*(d - 1)/7
Let 227*s**2 + 156*s**3 + 840*s**2 + 2536*s + 844 - 151*s**3 = 0. Calculate s.
-211, -2, -2/5
Suppose 400/3*o - 132 - 4/3*o**2 = 0. What is o?
1, 99
Let -13250*w - 9375 - 20*w**3 + 601*w**2 - 700*w**2 - 916*w**2 = 0. Calculate w.
-25, -3/4
Let s(z) be the third derivative of -z**5/20 + 243*z**4/4 - 59049*z**3/2 - 103*z**2 + 4*z. Factor s(q).
-3*(q - 243)**2
Factor -126*y**3 - 2/3*y**5 + 0 - 16*y**4 - 324*y**2 + 0*y.
-2*y**2*(y + 6)*(y + 9)**2/3
Factor -810*k**4 - 555*k + 72*k**3 + 451 + 2224*k**2 - 495 - 32*k**5 + 524 + 5*k**5 + 2491*k.
-(k - 2)*(k + 30)*(3*k + 2)**3
Find g such that 40/3 + 1/3*g**3 - 46/3*g + 5/3*g**2 = 0.
-10, 1, 4
Let y = 1/131 - -47/11004. Let c(z) be the second derivative of -13*z - y*z**7 + 0*z**3 + 0 + 3/40*z**5 - 1/15*z**6 + 3/4*z**4 + 0*z**2. Factor c(f).
-f**2*(f - 2)*(f + 3)**2/2
Let x(m) = 96*m**2 - 14452*m + 2880052. Let s(o) = -11*o**2 + 1606*o - 320006. Let t(p) = 52*s(p) + 6*x(p). Factor t(f).
4*(f - 400)**2
Let b(a) be the second derivative of -a**4/54 + 1292*a**3/27 - 417316*a**2/9 + 2487*a. Factor b(w).
-2*(w - 646)**2/9
Factor 112/9*u**2 + 4/9*u**3 + 1024/3 + 1024/9*u.
4*(u + 8)**2*(u + 12)/9
Suppose -20 = 18*r - 14*r. Let k be -5*((-2)/r + (-408)/180). Let -k*p - 4 + 5/3*p**2 = 0. What is p?
-2/5, 6
Let t(b) be the second derivative of b**8/6720 - b**7/420 + b**6/90 - 77*b**4/4 - 35*b. Let p(i) be the third derivative of t(i). Factor p(n).
n*(n - 4)*(n - 2)
Let u(n) = 8*n**4 - 128*n**3 - 412*n**2 - 436*n - 140. Let f(k) = k**4 + k**3 + 2*k**2 - 2*k + 1. Let b(w) = -4*f(w) + u(w). Factor b(q).
4*(q - 36)*(q + 1)**3
Let l(i) = -4*i**3 - 50*i**2 - 42*i - 2. Let n(d) = -d**2 + d - 1. Let w(t) = -t**2 + 30*t + 66. Let v be w(32). Let r(j) = v*n(j) - l(j). Factor r(g).
4*g*(g + 1)*(g + 11)
Let i(w) be the second derivative of -11*w**4/54 - 13*w**3/27 - 2*w**2/9 - 272*w. Factor i(m).
-2*(m + 1)*(11*m + 2)/9
Suppose 20 = 5*h - 4*w, 0*w - 20 = -3*h + 4*w. Suppose -5*r + h = -10. Factor 23*b**r - 125 - 46*b**2 + 50*b + 18*b**2.
-5*(b - 5)**2
Let s(v) be the second derivative of -v**7/42 - 17*v**6/30 - 47*v**5/10 - 95*v**4/6 - 161*v**3/6 - 49*v**2/2 - 2168*v. Factor s(l).
-(l + 1)**3*(l + 7)**2
Let a be (-2466)/(-99) + -25 + ((-72)/(-33) - 2). What is r in -a*r**5 + 16/11 - 4/11*r + 4/11*r**4 + 5/11*r**3 - 20/11*r**2 = 0?
-2, -1, 1, 2, 4
Let i be -2 - (3 + 3 + -10 - 168). Let c = 886/5 - i. Factor -2/5*p**2 + c*p - 162/5.
-2*(p - 9)**2/5
Let 2088 - 945*w + 131*w + 193*w + 2*w**2 - 1469*w = 0. What is w?
1, 1044
Let o(b) be the third derivative of -b**8/10080 - b**7/1260 + b**3 + 37*b**2 + 2. Let i(s) be the first derivative of o(s). Factor i(y).
-y**3*(y + 4)/6
Let k(i) be the first derivative of i**4/24 + 89*i**3/18 - 137*i**2/6 + 92*i/3 + 2727. Factor k(r).
(r - 2)*(r - 1)*(r + 92)/6
Let s(x) be the third derivative of x**6/1320 - 34*x**5/165 - 137*x**4/264 + 112*x**2 + 1. Factor s(v).
v*(v - 137)*(v + 1)/11
Suppose 5*z + 4*k - 71 = 0, 0 = 273*z - 268*z + 2*k - 53. Determine t, given that -1/5*t**4 + 396/5*t - z*t**3 - 286/5*t**2 + 648/5 = 0.
-18, -1, 2
Let a(i) = 6*i**4 + 16*i**3 - 22*i**2 - 5*i + 3. Let g(u) = -13*u**4 - 35*u**3 + 44*u**2 + 9*u - 7. Let w(p) = -7*a(p) - 3*g(p). Suppose w(c) = 0. What is c?
-4, -1/3, 0, 2
Let o be 16 - ((-9)/(-3) + -5). Let m = o + -16. What is w in 41*w + 20*w**m - 10*w**2 - 36*w - 10*w**4 - 5*w**5 = 0?
-1, 0, 1
Let m(l) be the third derivative of 0*l**4 + 0 - 1/50*l**5 - 1/300*l**6 + 4/15*l**3 - 5*l + 8*l**2. Factor m(w).
-2*(w - 1)*(w + 2)**2/5
Let x(t) be the second derivative of 7 - 14*t + 1/6*t**4 + 0*t**2 + 13/3*t**3. Factor x(u).
2*u*(u + 13)
Let r(z) = -2*z**2 + 23*z + 40. Let f be r(14). Let h be f/(-105)*(-7)/(-6). Factor 0*i**4 - 2/3*i**3 + h*i**5 + 1/3*i + 0*i**2 + 0.
i*(i - 1)**2*(i + 1)**2/3
Let p(w) = w**2 + 15*w - 61. Let i be p(3). Let z be i + 6 - 13/(-3). Factor 0 + 0*t - 8/3*t**4 - 2/3*t**2 - z*t**3.
-2*t**2*(t + 1)*(4*t + 1)/3
Let r(d) = 4*d**4 - 218*d**3 + 424*d**2 - 188*d + 11. Let g(a) = -a**4 + 72*a**3 - 141*a**2 + 62*a - 4. Let c(l) = 11*g(l) + 4*r(l). Factor c(y).
5*y*(y - 14)*(y - 1)**2
Let p = 145/133 - 75/133. Factor -p*y - 2/19*y**2 - 8/19.
-2*(y + 1)*(y + 4)/19
Let f(p) be the third derivative of -p**5/36 - 10*p**4/9 - 25*p**3/6 - 2043*p**2 + p. Factor f(n).
-5*(n + 1)*(n + 15)/3
Let x(a) be the second derivative of -a**5/10 + 19*a**4/4 + 89*a**3/6 + 15*a**2 - 801*a. Suppose x(t) = 0. Calculate t.
-1, -1/2, 30
Let i = -316 - -245. Let w be 2*(-1)/(-42)*(-44 - i). Factor -3/7*d**3 + 0 - 6/7*d**2 + w*d.
-3*d*(d - 1)*(d + 3)/7
Let t = 2/2553817 - -5107616/22984353. Suppose 124/9*v - 14 + t*v**2 = 0. Calculate v.
-63, 1
Suppose -47*a = 1802 - 5327. Suppose -51 + a = 8*l. Factor -2/3*r**l + 14/3*r**2 + 0*r + 0.
-2*r**2*(r - 7)/3
Suppose -5*a + 7*j = 3*j - 10, 5*j = -5*a + 10. Factor 60 - 7*h**3 + 30*h + 2*h**3 + 698*h**a + 50*h - 683*h**2.
-5*(h - 6)*(h + 1)*(h + 2)
Suppose 30*t - 2 = 88. Factor 57*o**2 - 326*o - t*o**3 + 29*o - 95 + 338.
-3*(o - 9)**2*(o - 1)
Suppose 9 = -k - o, 9*k - 30*o - 36 = -26*o. Determine f so that -2/9*f**3 + 0*f**2 + k + 2/9*f = 0.
-1, 0, 1
Let g(h) = -h**3 + 3*h + 4. Let b be g(-2). Suppose -13*y + 32 = b. Let 0*q + 6/11*q**y + 4/11*q**3 - 2/11 = 0. What is q?
-1, 1/2
Let t be (11 - -2825) + 12/(-4). Suppose -2841*m + t*m = 0. Find s, given that m*s + 2/13 + 14/13*s**4 + 12/13*s**5 - 12/13*s**3 - 16/13*s**2 = 0.
-1, -1/2, 1/3, 1
Let y(n) be the first derivative of -16/21*n**3 - 221 + 46/7*n**2 + 24/7*n. Find m, given that y(m) = 0.
-1/4, 6
Suppose -7*v = -4*l - 4700 - 5530, 58*l + 30 = 53*l. Factor 0 - 3075/2*g**2 + 375*g + 324*g**5 - v*g**4 + 2295*g**3.
3*g*(g - 2)*(6*g - 5)**3/2
Suppose j = 2*r + 11, -12*r + 10*r - 20 = -4*j. Factor -g**2 + 20*g + j*g**3 + 3*g**5 - 4*g**5 + 4*g**4 - 22*g - 3*g**4.
-g*(g - 2)*(g - 1)*(g + 1)**2
Let u(w) = -w - 1. Let p be u(-5). Let t(x) = 4*x**2 - 897*x + 7131. Let l be t(216). Determine c so that -8/3*c + 38/3*c**l - 16/3*c**2 - 14/3*c**p + 0 = 0.
-2/7, 0, 1, 2
What is z in 2/15*z**2 + 13372/15*z + 22351298/15 = 0?
-3343
Determine i, given that 198/13*i + 0 + 4/13*i**2 - 2/13*i**3 = 0.
-9, 0, 11
Determine u so that -5*u**3 + u**3 + 505*u - 501*u - 64 + 64*u**2 = 0.
-1, 1, 16
Suppose 3/2*i**3 - 119/2*i**2 - 163/2*i - 41/2 = 0. Calculate i.
-1, -1/3, 41
Let t(b) be the first derivative of 1172*b**3/9 - 202*b**2 + 40*b/3 + 1515. Factor t(c).
4*(c - 1)*(293*c - 10)/3
Let z(j) be the third derivative of -2*j + 0 + 1/63*j**7 - 7/180*j**6 + 0*j**3 + 5*j**2 - 1/504*j**8 + 0*j**4 + 1/30*j**5. Factor z(c).
-2*c**2*(c - 3)*(c - 1)**2/3
Let p(f) be the first derivative of -f**5/20 - 7*f**4/8 - 19*f**3/4 - 19*f**2/2 - 8*f - 1738. Factor p(k).
-(k + 1)**2*(k + 4)*(k + 8)/4
Let p(z) be the second derivative of -9 + 1/150*z**6 + 1/15*z**3 - z - 1/60*z**4 - 3/100*z**5 + 1/210*z**7 + 0*z**2. What is x in p(x) = 0?
-2, -1, 0, 1
Let j be 504/(-126) - (-5 + (3 - 5)). Let a = 279/164 + 2/41. Let -a*m - 1/2 - 1/2*m**j - 7/4*m**2 = 0. Calculate m.
-2, -1, -1/2
Let k(d) be the third derivative of -1/15*d**5 - 138*d**2 + 1/3*d**4 + 0*d + 2 + 0*d**3. Solve k(b) = 0 for b.
0, 2
Solve -6/7*g**4 - 2/7*g**5 - 12/7*g + 2*g**2 + 0 + 6/7