is w in u(w) = 0?
-15, -1, 0
Let a(t) be the third derivative of t**6/900 - 589*t**5/150 + 346921*t**4/60 - 204336469*t**3/45 + 2*t**2 + 383. Solve a(g) = 0 for g.
589
Let j(w) be the third derivative of w**5/15 - w**4/6 + 80*w**2. Let f(d) = 13*d**2 - 11*d. Let u = 0 + -4. Let v(p) = u*f(p) + 14*j(p). What is k in v(k) = 0?
0, 3
Suppose -14*d = 61 + 71 - 174. Let 0 + 5/8*h + 9/8*h**2 + 3/8*h**d - 1/8*h**4 = 0. What is h?
-1, 0, 5
Factor 3552*z - 10*z**3 - 10*z**3 - 7890 + 39*z**2 + 23*z**3 - 297*z**2 - 5550.
3*(z - 70)*(z - 8)**2
Let y(h) be the first derivative of h**4/16 + 3*h**3/4 - 47*h**2/4 - 84*h - 7694. Determine j, given that y(j) = 0.
-14, -3, 8
Let n(j) be the third derivative of -j**6/96 - 23*j**5/120 + 147*j**4/32 + 15*j**3/4 - 3*j**2 + j + 740. Factor n(x).
-(x - 6)*(x + 15)*(5*x + 1)/4
Let u(w) be the second derivative of -3*w**5/2 - 121*w**4/3 + 508*w**3/3 + 72*w**2 - 11019*w. Suppose u(a) = 0. What is a?
-18, -2/15, 2
Let w be ((-16)/6)/((-10605)/9090). Let 8/7*d**4 - 36/7*d**3 + 0 - w*d - 48/7*d**2 + 12/7*d**5 = 0. What is d?
-1, -2/3, 0, 2
Factor -381*k - 86 + 81*k**2 + 23*k**2 - 20*k**2 + 92 + 105*k**2.
3*(k - 2)*(63*k - 1)
Let s be 48/360 - 0*2/(-6). Let k = -127/3 - -637/15. Factor k*u**3 + 0 - s*u**4 + 0*u + 4/15*u**2.
-2*u**2*(u - 2)*(u + 1)/15
Let v(g) be the second derivative of g**5/450 - g**4/18 + 7*g**3/15 - 151*g**2/2 - 162*g. Let x(t) be the first derivative of v(t). Factor x(y).
2*(y - 7)*(y - 3)/15
Let z(w) be the first derivative of -2*w**3/27 + 134*w**2/9 - 8978*w/9 - 718. Factor z(t).
-2*(t - 67)**2/9
Let j(z) be the second derivative of 0 + 0*z**2 - 87*z - 5/12*z**3 + 1/8*z**5 + 1/48*z**4 - 1/120*z**6. Factor j(p).
-p*(p - 10)*(p - 1)*(p + 1)/4
Let d = -407068 - -407071. Factor 2*t**2 + 16/3*t - 32/3 - 1/6*t**4 - 2/3*t**d.
-(t - 2)**2*(t + 4)**2/6
Let s(d) = -7*d**2 - 25*d - 26. Let a(z) = 50*z**2 + 175*z + 180. Suppose -12 = -60*y + 54*y. Let j(k) = y*a(k) + 15*s(k). Determine g, given that j(g) = 0.
-3, -2
Let h(v) = -16*v**2 - 5*v + 4. Let x(u) = 47*u**2 + 16*u - 11. Suppose -8 = -7*a + 2*a + 4*o, -6 = -2*o. Let z(q) = a*x(q) + 11*h(q). Factor z(b).
3*b*(4*b + 3)
Let a = -5 + 2. Let u(j) = -j**2 - 6*j. Let n(b) = -62*b - 267*b + 341*b + 3*b**2. Let z(w) = a*n(w) - 7*u(w). Factor z(y).
-2*y*(y - 3)
Suppose 24*f = 10*f + 42. Factor -28*z**2 - 2*z**f + 10*z**2 + 0*z**3 + 108*z**2 + 6750 - 1350*z.
-2*(z - 15)**3
Let r be ((-3)/(-9)*33)/((-3)/9). Let i be (-7)/(-21) + r*1/(-63). Find q, given that -i*q - 2/7*q**3 + 2/7 + 6/7*q**2 = 0.
1
Let v = -54 + 63. Suppose -12 = -3*l, -12*l = i - v*l - 15. Factor -4/3*x**2 + 4/3*x**4 + 0*x**i - 2/3*x + 2/3*x**5 + 0.
2*x*(x - 1)*(x + 1)**3/3
Let i be (-42)/(-5) - 12/30. Find t such that -111*t + 15*t - 9*t**2 - 2304 + i*t**2 = 0.
-48
Suppose 0 = 2*h - 4, -4*y - 6567 = -7*y - 3*h. Let a = y - 10929/5. Factor a*i**3 - 6/5*i + 0 + 2/5*i**2 - 2/5*i**4.
-2*i*(i - 3)*(i - 1)*(i + 1)/5
Suppose 6*g = -8*g + 70. Let d(x) be the third derivative of 1/15*x**g + 0*x - 1/210*x**7 - 10*x**2 + 0*x**6 + 0*x**3 + 0*x**4 + 0. Solve d(y) = 0.
-2, 0, 2
Let d be 29/493 - 31577/(-442). Factor 121/4*w**3 + 23*w + 2 + d*w**2.
(w + 2)*(11*w + 2)**2/4
Let u = 59174/8007 - 152/2669. Factor 24*w**2 - 1/3*w**4 + 25/3 - 74/3*w - u*w**3.
-(w - 1)**3*(w + 25)/3
Let m(q) be the second derivative of -2*q**3 + 7*q**2 + 0 - 1/6*q**4 + 32*q. Factor m(b).
-2*(b - 1)*(b + 7)
Factor -930 - 686*b**2 + 383*b**2 - 1385*b + 318*b**2.
5*(b - 93)*(3*b + 2)
Let a(w) be the second derivative of w**8/4480 - w**7/336 + w**6/80 + 59*w**4/12 - 16*w. Let g(r) be the third derivative of a(r). Factor g(v).
3*v*(v - 3)*(v - 2)/2
Factor 38*l - 6*l**2 - 14*l**3 + 282 - 254 + 8*l**4 - 6*l**4.
2*(l - 7)*(l - 2)*(l + 1)**2
Let b(i) be the second derivative of -5*i**4/12 + 415*i**3/3 - 1620*i**2 - 3366*i. Factor b(p).
-5*(p - 162)*(p - 4)
Let f(a) be the third derivative of -3*a**2 + 1/120*a**7 + 11/160*a**6 + a + 7/96*a**4 + 13/80*a**5 + 0 - 1/4*a**3. Factor f(j).
(j + 1)**2*(j + 3)*(7*j - 2)/4
Suppose -54*g + 750 = -4*g. Let c be -5 - (-10)/15*1*g. Find q, given that 0 - 3/2*q**c - 9*q**3 + 6*q**4 + 6*q**2 - 3/2*q = 0.
0, 1
Suppose 5*a - 94 = -4*x, -2*a + 4*x + 42 = 10. Let p(l) be the first derivative of 3*l**2 - 4*l - 2/3*l**3 - a. Factor p(o).
-2*(o - 2)*(o - 1)
Let i(a) be the first derivative of -a**5/450 + 19*a**4/90 + 13*a**3/15 - 67*a**2/2 + 154. Let t(c) be the second derivative of i(c). Factor t(f).
-2*(f - 39)*(f + 1)/15
Let c(z) be the third derivative of z**5/20 + 29*z**4/4 - 264*z**3 - 60*z**2 + 23. Factor c(g).
3*(g - 8)*(g + 66)
Let k(o) be the second derivative of 0*o**2 - 28*o + 1/24*o**6 + 0 + 0*o**4 + 1/20*o**5 + 0*o**3 + 1/168*o**7. Factor k(d).
d**3*(d + 1)*(d + 4)/4
Let o(m) be the second derivative of -9*m**6/10 + 21*m**5/5 + 3*m**4/2 - 14*m**3 + 9*m**2/2 + 102*m. Let o(l) = 0. Calculate l.
-1, 1/9, 1, 3
Let c(o) = -34*o**2 - 118*o + 4. Let a(x) = -94*x**2 - 352*x + 11. Let r(p) = -4*a(p) + 11*c(p). Factor r(t).
2*t*(t + 55)
Suppose 0 = -22*t + 17*t - 475. Let j = -93 - t. Find c such that 2/5*c + 0 + c**4 - 8/5*c**3 + 1/5*c**j = 0.
-2/5, 0, 1
Let x(g) be the third derivative of g**8/1512 - 8*g**7/27 + 461*g**6/180 - 1102*g**5/135 + 275*g**4/27 - 2712*g**2. Find t such that x(t) = 0.
0, 1, 2, 275
Factor 3/7*y**2 + 2277/7 - 240/7*y.
3*(y - 69)*(y - 11)/7
Suppose 96*a - 4/7*a**5 + 456/7*a**3 + 0 - 60/7*a**4 - 976/7*a**2 = 0. What is a?
-21, 0, 2
Suppose 5*h = -22 + 57. Suppose -7 = 2*f - 0*f - 3*o, 3*f - o - h = 0. Let f*v**2 - 3*v**2 + 1 + 2*v - 4*v**2 + 4*v**2 = 0. Calculate v.
-1
Factor -2813192 - 2*r**2 + 3991*r - 582*r + 1335*r.
-2*(r - 1186)**2
Let u = 130877/28 + -32693/7. Factor 0 - u*k - 1/4*k**3 - 4*k**2.
-k*(k + 1)*(k + 15)/4
Let v(q) = q**3 + 2132*q**2 - 2*q - 6. Let n(l) = 12*l**3 + 27717*l**2 - 27*l - 81. Let o(h) = -2*n(h) + 27*v(h). Factor o(u).
3*u**2*(u + 710)
Let p(k) be the first derivative of k**4/2 - 10*k**3 + 29*k**2/2 - 11*k + 94. Let h be p(14). Factor 3/4*a**h - 3/4*a**4 + 0 + 0*a + 3/2*a**2.
-3*a**2*(a - 2)*(a + 1)/4
Solve -10/3*b**2 - 2/3*b + 2/3*b**3 + 10/3 = 0 for b.
-1, 1, 5
Let w be 363/30 + -387 + 375. Factor -2/5*m**2 + 0 - 3/10*m - w*m**3.
-m*(m + 1)*(m + 3)/10
Let y be (-12 - -15)/((-12)/(-15) - 1). Let g be (42/70)/(2/y) + 6. Factor 3/2*w**2 - 3*w + g.
3*(w - 1)**2/2
Let q(c) be the first derivative of -6*c + 136 - 29/10*c**2 - 1/25*c**5 + 1/4*c**4 + 7/15*c**3. Find t, given that q(t) = 0.
-2, -1, 3, 5
Let i(u) be the second derivative of -u**5/140 + u**4/42 + 11*u**3/42 - 6*u**2/7 + 763*u. Factor i(z).
-(z - 4)*(z - 1)*(z + 3)/7
Let x be (5 - 18) + 8 - 28/(-4). Let a(f) be the third derivative of 0*f**4 - 1/480*f**6 - 1/80*f**5 + 1/6*f**3 + 0*f + 8*f**x + 0. Find k such that a(k) = 0.
-2, 1
Let p be (351/(-63) - -6)/(9/189). Let w(c) be the first derivative of 162/13*c - 18/13*c**2 - p + 2/39*c**3. What is r in w(r) = 0?
9
Let t(o) be the second derivative of 5 - 3/20*o**5 - 2/105*o**7 - 1/30*o**3 + 0*o**2 - 7/60*o**4 - 13/150*o**6 - 4*o. Factor t(s).
-s*(s + 1)**3*(4*s + 1)/5
Let k(r) = -r**2 - 2*r + 18. Let y be k(3). Suppose -2*l + 124 = 4*q, -6*q + 168 = -q - 4*l. Factor b - q*b**2 + y*b + 36*b**2 + b**3.
b*(b + 2)**2
Let c(s) = 21*s**2 - 467*s + 110. Let x be c(22). Factor 0*t**4 + x*t + 8*t**2 + 6*t**3 - 1/2*t**5 + 0.
-t**2*(t - 4)*(t + 2)**2/2
Let k(p) = -281*p**3 - 566*p**2 - 281*p - 4. Let d(c) = c**2 - 2*c + 1. Let y(s) = -6*d(s) - 3*k(s). Factor y(x).
3*(x + 1)**2*(281*x + 2)
Suppose -7*v = -4*k - 4*v - 224, k = 3*v - 56. Let y = 59 + k. What is t in -17*t**2 - 15*t + 5*t**y - 27*t**2 + 54*t**2 = 0?
-3, 0, 1
Let v(y) = 5*y**3 + 2*y**2 + 3*y - 4. Let o be v(1). Factor -3*x**4 - o*x**2 + 5*x**3 + 1183 - 1183 + 4*x**3.
-3*x**2*(x - 2)*(x - 1)
Let -6/5*u**4 + 228/5*u + 18/5*u**2 + 144/5 - 72/5*u**3 = 0. Calculate u.
-12, -1, 2
Let i(k) be the first derivative of 4/7*k - 24 + 2/63*k**3 + 1/3*k**2. Factor i(m).
2*(m + 1)*(m + 6)/21
Let m(i) be the first derivative of -2*i**3/3 + 884*i**2 - 390728*i - 6019. Factor m(g).
-2*(g - 442)**2
Let q(h) be the second derivative of -h**2 + 0 - 1/4*h**4 - 1/20*h**5 + 0*h**3 - 13*h. Let x(n) be the first derivative of q(n). Factor x(u).
-3*u*(u + 2)
Let p(h) = 2*h**2 + 3*h - 49. Let s be p(-6). Factor -14*c**4 - s*c**3 - 6*