0*x - 5886. Factor w(t).
5*(t - 1)*(t + 464)
Suppose 9*g - 87 = -51. Suppose 3*i = 3*i - g*i. Suppose 6/7*v**2 + i - 4/7*v = 0. What is v?
0, 2/3
Let p(s) = -s**3 - 13*s**2 - 4*s - 31. Let b be p(-13). Factor -b*r - 12*r**2 + 85*r + 10*r**2 - 2*r**2.
-4*r*(r - 16)
Let v be 4/(-20) + (-1274)/(-245). Let h(x) be the third derivative of 1/100*x**v + 0 + 0*x - 1/2*x**3 + 1/10*x**4 + 5*x**2. Let h(t) = 0. Calculate t.
-5, 1
Let x(a) be the first derivative of -4*a**3/3 - 1000*a**2 - 250000*a - 1712. Solve x(f) = 0 for f.
-250
Suppose 4*c - 441 = -5*c. Let i = -12 + c. Factor 4*x - 4*x**3 - 5*x - 8 - 29*x**2 + i*x + 12*x**4 - 7*x**2.
4*(x - 1)**2*(x + 2)*(3*x - 1)
Let v = 8687 - 8687. Factor 0*b + 0 + v*b**2 - 5/2*b**3 + 1/2*b**4.
b**3*(b - 5)/2
Factor -2/11*r + 0 + 2/11*r**2.
2*r*(r - 1)/11
Let m(s) be the first derivative of -s**6/1260 + s**5/70 - 3*s**4/28 - s**3/3 + 2*s - 3. Let j(g) be the third derivative of m(g). Factor j(o).
-2*(o - 3)**2/7
Let u = 29536 - 88604/3. Let k(o) be the third derivative of 0*o + 1/5*o**5 - 38*o**2 + 1/6*o**4 + 0 - u*o**3. Let k(l) = 0. What is l?
-1, 2/3
Suppose -103058 - 908/3*g - 2/9*g**2 = 0. What is g?
-681
Suppose 5*n**3 + 2368*n - 12915 + 2818*n**2 - 10933*n - 6913*n**2 + 2690*n**2 = 0. Calculate n.
-3, 287
Let s(l) be the third derivative of l**8/5040 + 4*l**7/189 + 5*l**4/8 - l**3/3 - 20*l**2. Let y(t) be the second derivative of s(t). Find f such that y(f) = 0.
-40, 0
Let b(i) be the third derivative of -i**8/1680 + 7*i**6/360 - i**5/20 - 118*i**3/3 + 21*i**2. Let v(w) be the first derivative of b(w). Let v(a) = 0. What is a?
-3, 0, 1, 2
Factor -121203 + 58*a**2 - 122409*a - 613*a**2 - 654*a**2 - 3*a**3.
-3*(a + 1)*(a + 201)**2
Let x(s) be the second derivative of 55/6*s**3 - 78*s - 75/2*s**2 + 0 + 1/20*s**5 - 13/12*s**4. Factor x(a).
(a - 5)**2*(a - 3)
Let u(m) be the third derivative of 0*m**3 - 2/45*m**5 + 6*m - 1/360*m**6 + 0 + 2*m**2 + 1/315*m**7 - 5/72*m**4. Determine c, given that u(c) = 0.
-1, 0, 5/2
Let k = 269/93 - 7/31. Let h be (-786)/7467 - (-230)/19. Find a such that -k + 12*a - h*a**3 + 8/3*a**2 = 0.
-1, 2/9, 1
Let t(y) be the third derivative of -y**8/1344 - y**7/28 - 2*y**6/9 + y**4/12 - 14*y**3/3 + y**2 - 2. Let o(g) be the second derivative of t(g). Factor o(n).
-5*n*(n + 2)*(n + 16)
Suppose -106 + 18 = -22*h. Let 3*g**5 + 36*g**3 + 13*g**2 - 96*g**h - 57*g**5 + 7*g**2 + 42*g**4 + 16*g + 36*g**2 = 0. What is g?
-2/3, 0, 1
Suppose -24 = -5*m - 4. Suppose -z + m*z + 24 = 3*b, -4*z - 4 = 3*b. What is y in -3 + 12*y**b + 10*y**3 - 14*y**3 - 1 + 12*y**3 + 4*y**5 - 12*y - 8*y**2 = 0?
-1, 1
Let s(x) be the first derivative of x**3/6 - 1261*x**2 + 3180242*x + 6153. Factor s(f).
(f - 2522)**2/2
Factor -22/9*d**2 - 28/3 + 106/9*d.
-2*(d - 1)*(11*d - 42)/9
Let n(b) be the third derivative of -1/84*b**8 + 1/15*b**6 - 70*b**2 + 0*b**3 + 0*b + 0 + 0*b**7 - 1/6*b**4 + 0*b**5. Let n(h) = 0. Calculate h.
-1, 0, 1
Let 1/8*h**4 + 25281/8 + 25/2*h**3 - 3975/2*h + 1091/4*h**2 = 0. Calculate h.
-53, 3
Suppose 216 = 5*a - 3*d - 0*d, 0 = 2*d + 4. Let z = a - 40. Find v, given that -36*v**2 + 5*v + 4*v**3 + 22*v**2 + 25*v**z - 2 = 0.
-2, -1, 1/4
Let d(j) be the third derivative of -j**7/350 + 41*j**6/100 - 93*j**5/20 + 86*j**4/5 - 152*j**3/5 - j**2 + 107. Determine m so that d(m) = 0.
1, 4, 76
Let s(z) be the third derivative of z**8/1008 - z**7/105 - 44*z**6/45 + 1693*z**5/90 + 39*z**4/8 - 1690*z**3/9 + 62*z**2 - 42. Let s(c) = 0. What is c?
-20, -1, 1, 13
Let n = 1/23455 - -9381/23455. Factor -3/5 + 7/5*d - n*d**2.
-(d - 3)*(2*d - 1)/5
Suppose -69*v = 6*v - 29550. Let m = 394 - v. Find f such that m + 0*f**2 - 1/2*f**4 - f**3 + 1/2*f**5 + 0*f = 0.
-1, 0, 2
Let v(f) be the first derivative of 3*f**4/4 + 4*f**3 - 3*f**2/2 - 12*f - 2760. Let v(k) = 0. What is k?
-4, -1, 1
Let s(y) be the second derivative of y**4/16 + 4*y**3 + 93*y**2/8 - 82*y - 3. Suppose s(i) = 0. What is i?
-31, -1
Suppose 62*n = 281 - 33. Factor i**4 + 186*i + 6*i**n + 2*i**3 + 6*i**3 - 112*i**2 + 13*i**4 - 66*i - 36.
4*(i - 1)**2*(i + 3)*(5*i - 3)
Let l be -20 + 25 + (-18 - -15) + 1 + -1. Factor 20/11*q + 2/11*q**l - 2.
2*(q - 1)*(q + 11)/11
Let b be -39*((-60)/(-78))/(-10). Let 15/4*p**b - 3/2*p**2 + 0 + 3*p**4 - 9/4*p = 0. Calculate p.
-1, 0, 3/4
Let u(y) = -y**2 + 95*y + 44. Let m = 242 - 244. Let x(a) = a**2 - 48*a - 21. Let b(q) = m*u(q) - 5*x(q). Factor b(j).
-(j - 17)*(3*j + 1)
Let -7865*q - 5070 + 5/3*q**5 - 1180/3*q**2 + 2530*q**3 + 130*q**4 = 0. Calculate q.
-39, -1, 2
Let o(q) = -q**3 + q**2. Let u be (-14)/(-28) - (-1)/2. Let d(b) = -6*b**3 + 154*b**2 - 3750*b + 31250. Let t(i) = u*d(i) - 4*o(i). Factor t(x).
-2*(x - 25)**3
Let h(r) be the first derivative of -r**3/4 + 373*r**2/8 - 31*r - 5955. Let h(u) = 0. Calculate u.
1/3, 124
Let m(j) be the first derivative of -j**4/4 - 7*j**3/15 + 6*j**2/5 - 5500. Factor m(b).
-b*(b - 1)*(5*b + 12)/5
Let r = 60 + -36. Let f be r*(4/(-9))/(6/(-9)). Factor -60*j - 7 - 10 - 2 + f*j**2 + 3.
4*(j - 4)*(4*j + 1)
Let o(z) be the third derivative of -z**7/945 + z**6/540 + 28*z**5/135 - 1757*z**2. Factor o(b).
-2*b**2*(b - 8)*(b + 7)/9
Let j(g) = g**3 - 5*g**2 + g - 1. Let r be j(5). Let t be 1105/78 + -9 + (-15)/6. Factor 4/3*p**r + 4/3*p**2 + 0*p + t*p**3 + 0.
4*p**2*(p + 1)**2/3
Let j(u) = 6*u + 23. Let p be j(-3). Find r such that 0*r**4 + 5*r**3 + 4*r**4 + 65*r**2 - 63*r**2 + r**p = 0.
-2, -1, 0
Let p(w) be the first derivative of -8*w**3/3 + 16*w**2 + 40*w + 30. Let o(i) = i**2 - 1. Let v(x) = 6*o(x) + p(x). Suppose v(j) = 0. What is j?
-1, 17
Let h = -4 - 0. Let c(y) = -2*y - 6. Let l be c(h). Determine w, given that 0*w**5 - 3*w**4 - 3*w**l + 6*w**2 - 3*w**3 + w**5 + 2*w**5 = 0.
-1, 0, 1
Let -1/2*y**2 + 45/2*y - 22 = 0. Calculate y.
1, 44
Determine o, given that 7/6*o**3 + 5/3*o**2 + 0 + 1/2*o = 0.
-1, -3/7, 0
Let z = 838 - 836. Let w(k) = -k + 7. Let y be w(5). Find h, given that 2/3*h**3 + 0 + z*h**y + 4/3*h = 0.
-2, -1, 0
Let g be -1*15/(5 + -2)*-1. Suppose -4*w = -r - 0*r + 22, 0 = -5*r + g*w + 35. Factor f - 3*f**r + 3*f**2 - 5*f**2 + 4*f**2.
-f*(f - 1)
Let r(b) be the third derivative of 325*b**8/1344 + 51*b**7/56 + b**6/15 - 47*b**5/30 + b**4/2 + 2*b**3/3 + 572*b**2 + b. Suppose r(k) = 0. What is k?
-2, -1, -2/13, 2/5
Let g(m) = 3*m - 22. Let o be g(9). Let i(x) = -84*x**2 + 88*x + 14. Let d(l) = 84*l**2 - 86*l - 13. Let f(h) = o*i(h) + 6*d(h). Factor f(p).
4*(p - 1)*(21*p + 2)
Suppose -3164 = -1448*k + 306 - 187 + 1061. Factor 0 - 84/5*c**2 + 8/5*c**k - 44/5*c.
4*c*(c - 11)*(2*c + 1)/5
Let 70*k**4 + 7251*k + 5*k**5 + 480 - 6211*k + 0*k**5 + 360*k**3 + 880*k**2 = 0. What is k?
-6, -2
Let r(p) be the second derivative of 3*p**5/20 - 273*p**4 + 198744*p**3 - 72342816*p**2 + 2*p + 529. Factor r(z).
3*(z - 364)**3
Let y = -91 + 44. Let v = y + 52. Factor 37*n + 25*n**2 - 8 - v*n - 7*n**2.
2*(n + 2)*(9*n - 2)
Let s(r) be the second derivative of -r**6/75 + 11*r**5/50 + 37*r**4/30 - 131*r**3/15 - 156*r**2/5 + 3583*r. Determine v, given that s(v) = 0.
-4, -1, 3, 13
Find n such that 4/3*n**5 + 20/3*n**2 - 4/3*n**3 + 0*n - 20/3*n**4 + 0 = 0.
-1, 0, 1, 5
Let c(s) be the first derivative of 5/6*s**3 - 4/3*s**2 - 36 + 1/24*s**4 + 0*s. Suppose c(u) = 0. What is u?
-16, 0, 1
Suppose -o - 3*c = 21, -9*c + 40 = -14*c. Factor 0 - 6/5*z - 2*z**o + 14/5*z**2 + 2/5*z**4.
2*z*(z - 3)*(z - 1)**2/5
Determine c so that -675*c + 1080*c**2 - 165 + 4*c**5 + c**5 + 5*c**4 - 22*c**4 - 10*c**3 - 33*c**4 - 6585 = 0.
-3, 5, 6
Let k(t) be the first derivative of -t**3/18 - 221*t**2/12 - 698. Factor k(j).
-j*(j + 221)/6
Suppose 41*u + 12 = 45*u. Suppose 11*m - 192 = u*m. Factor m*d + 31 + 54 - 13 + 2*d**2.
2*(d + 6)**2
Suppose -41*n + 303 = 98. What is w in -15*w**2 - n*w**3 - 10*w + 14 - 10 - 2 - 2 = 0?
-2, -1, 0
Let w(g) be the second derivative of -g**4/12 - 283*g**3/6 + g - 155. Find j such that w(j) = 0.
-283, 0
Let g be 12480/(-8736) - (2 + 44/(-14)) - 1852/(-14). Find c, given that -3/2*c**4 - 21*c**3 + 54 + 201/2*c**2 - g*c = 0.
-18, 1, 2
Suppose 2*j = 4*f + 1 - 11, -15 = -3*j. Let d be (159 - -10) + f/(5/(-3)). Factor -4*l + 4*l - 169*l**3 + d*l**3 - 3*l**2.
-3*l**2*(l + 1)
Let u(c) = 33*c**2 - 7305*c - 2028. Let i(o) = -32*o**2 + 7304*o + 2040. Let k(y) = 5*i(y) + 4*u(y). Factor k(x).
-4*(x - 261)*(7*x