(w) = -g(w) + 3*m(w). Let z(u) = 0. Calculate u.
-2, 0, 90
Let q(v) be the second derivative of -v**4/66 + 82*v**3/33 - 81*v**2/11 - 883*v. Factor q(p).
-2*(p - 81)*(p - 1)/11
Let q(j) = -912*j + 3648. Let b be q(4). Let k(y) be the second derivative of b - 27/8*y**3 + 3*y**4 - 69/80*y**5 + 10*y + 3/4*y**2. Factor k(z).
-3*(z - 1)**2*(23*z - 2)/4
Let x(i) = -4*i - 19. Let f be x(-5). Solve 3*a**2 - 7 - 28 + 72*a - 75*a - f = 0 for a.
-3, 4
Let h = 48385/16 - 3024. Let v(c) be the first derivative of 9/4*c + 15/8*c**2 + 10 + 7/12*c**3 + h*c**4. Factor v(x).
(x + 1)*(x + 3)**2/4
Suppose 98*y**2 + 25*y - 362*y + 900 - 558*y - 103*y**2 = 0. What is y?
-180, 1
Let j(t) = -t**2 - 164*t - 1538. Let x be j(-10). Let v(w) be the first derivative of 0*w**x - 22 + 1/6*w**3 + 0*w + 1/8*w**4. Find k such that v(k) = 0.
-1, 0
Suppose 2 - 16 = 2*f - 4*l, 5*f - 20 = -l. Factor -f + 5 - g**3 - 2*g**2 + 9*g**2 - 8*g - 6 + 6*g**3.
(g - 1)*(g + 2)*(5*g + 2)
Let w(j) be the first derivative of j**4/24 - 7*j**3/3 + 38*j**2/3 + 2569. Let w(s) = 0. Calculate s.
0, 4, 38
Let h(m) = 111*m**2 + 285*m + 69. Let a(v) = 58*v**2 + 142*v + 34. Let p(q) = -11*a(q) + 6*h(q). What is z in p(z) = 0?
-5, -2/7
Let v(i) be the third derivative of -i**7/630 - i**6/60 + 8*i**5/15 - 28*i**4/9 - 8*i**2 - 71. Determine n so that v(n) = 0.
-14, 0, 4
Factor 2 + 1/2*c**2 + 17/4*c.
(c + 8)*(2*c + 1)/4
Let r = 4896 + -4886. Let z(n) be the third derivative of -8/7*n**3 - r*n**2 - 1/7*n**4 + 0 + 0*n - 1/140*n**5. Factor z(j).
-3*(j + 4)**2/7
What is u in -5333*u**3 - 5*u**4 - 87508138226 - 77159554654 + 13853*u**3 + 1546175520*u - 5444280*u**2 = 0?
426
Suppose 0 = -8*r - 7809 - 8047. Let d = r + 1987. Find n such that 0*n - 3/5*n**d + 0 - 12/5*n**3 + 0*n**2 - 12/5*n**4 = 0.
-2, 0
Determine s, given that -12*s**3 - 300*s + 678 - 561*s**2 + 2196*s + 222*s**2 - 183 = 0.
-33, -1/4, 5
Let q(s) = -328*s**3 - 2*s**2 + 396*s - 34. Let v(g) = 29*g**3 - 36*g + 3. Let m(n) = 6*q(n) + 68*v(n). Factor m(k).
4*k*(k - 6)*(k + 3)
Let -1148*x + 459*x - 1598 + x**2 - 6*x**2 - 1401*x - 2562 = 0. Calculate x.
-416, -2
Suppose 8 = -3*m - 4*p, 2*m + p - 23 + 20 = 0. Let i be (-18)/13 - (-2 + m)/(-1). Solve 0 - i*c + 2/13*c**2 = 0.
0, 4
Find y such that 176/9*y**2 + 12 + 10/3*y**3 - 278/3*y = 0.
-9, 2/15, 3
Let g(z) be the first derivative of -63/4*z**4 - 277 + 1/2*z**6 - 24/5*z**5 + 8*z**3 + 30*z**2 + 0*z. Solve g(f) = 0 for f.
-2, -1, 0, 1, 10
Factor 1/8*g**2 + 0 + 537/4*g.
g*(g + 1074)/8
Let a be 1738/(-14)*2 - 4/(-14). Let q be a/(-48) + 1/(-6). Let 5*g**q - 43*g + 38*g + 10*g**4 - 2*g**5 + 2*g**5 - 10*g**2 = 0. What is g?
-1, 0, 1
Let a = -88844/15 + 5923. Let r(c) be the second derivative of 0 - 13*c - a*c**4 + 1/5*c**3 - 1/5*c**2. Determine o so that r(o) = 0.
1/2, 1
Let i(j) be the first derivative of 5*j**3/3 + 100*j**2 - 420*j + 1067. Let i(m) = 0. Calculate m.
-42, 2
Let d be (-3)/(5/10 - (-10)/(-8)). Suppose d*w - 13 = r, -12*r - 20 = -5*w - 10*r. Factor 1/4*a**w + 36 - 6*a.
(a - 12)**2/4
Let h be (4/(-9))/((50/(-2500))/(3/10)). Find a such that h - 1/3*a**2 + 8/3*a = 0.
-2, 10
Let f(u) be the first derivative of -4*u**3/15 - 28*u**2/5 - 2125. Factor f(x).
-4*x*(x + 14)/5
Let b(i) = -11*i**2 + 42*i + 680. Let k(a) = -7*a**2 + 29*a + 455. Let t(j) = -5*b(j) + 8*k(j). Suppose t(g) = 0. What is g?
-8, 30
Factor 2372/5*r - 6/5*r**2 - 158.
-2*(r - 395)*(3*r - 1)/5
Determine z, given that -19/4*z**4 + 95/2*z - 345/4*z**2 + 6 + 75/2*z**3 = 0.
-2/19, 1, 3, 4
Let q(k) be the second derivative of 53/5*k**5 + 6*k**4 + 0 + 14/5*k**6 + 5/21*k**7 - 45*k**3 - 54*k**2 + 71*k. Find c, given that q(c) = 0.
-3, -2/5, 1
Let y be ((-23852100)/360)/(8 - (-7 + 1120/72)). Let -16641/2*t + 387/2*t**2 + y - 3/2*t**3 = 0. What is t?
43
Let i be ((-9)/6)/(25 + -28). Let r be 4 - 3 - (-20 - (-4 - -1)). Find n such that 7*n - i + 42*n**3 - r*n**4 - 61/2*n**2 = 0.
1/6, 1
Suppose 3*l + 5*f = -287, -2*l + 6*l + 364 = -2*f. Let u = -87 - l. Determine k so that 14*k - 14*k**2 + u + 4 + 4*k**3 - 10 = 0.
1/2, 1, 2
Let x be ((-2914)/(-141))/(-62)*0. Suppose -5/2*j**2 + x - 5/2*j = 0. What is j?
-1, 0
Let o = 1217 - 2191. Let z = -972 - o. Factor 0 + 0*i**z + 5*i**3 + 5/3*i**4 + 0*i.
5*i**3*(i + 3)/3
Let t(q) = 4*q - 34. Let k be t(9). Let c be 54 + (2 - 5)*-1. Solve 4*l**2 - 6*l**4 + k*l**4 + 57*l - c*l = 0.
-1, 0, 1
Let o(q) = -q**3 + 33*q**2 + 3*q - 29. Let r(n) = -2*n**3 + 69*n**2 + 7*n - 59. Let i(s) = -5*o(s) + 2*r(s). What is b in i(b) = 0?
-1, 1, 27
Let x(f) be the second derivative of -5*f**7/42 + 2*f**6/3 + 5*f**5/4 + 2101*f. Let x(z) = 0. What is z?
-1, 0, 5
Let a(j) be the second derivative of j**4/18 - 38*j**3/9 + 24*j**2 - 3*j - 450. Determine t, given that a(t) = 0.
2, 36
Let b(p) = -p - 1 - 10 + 2614*p**2 - 2598*p**2 + p. Let m(t) be the first derivative of -t**3 + 2*t + 1. Let j(q) = 2*b(q) + 11*m(q). Find x such that j(x) = 0.
0
Suppose 9 = -3*z + 72. Suppose 0 = 3*a - 14 - 25. What is j in a*j**3 - z*j**2 - 4 + 13*j**3 + 6*j**2 - 33*j**3 - j**4 - 13*j = 0?
-4, -1
Let z = 10007 - 10005. Let -3/5*o**4 - 6/5*o + 3/5*o**z + 0 + 6/5*o**3 = 0. Calculate o.
-1, 0, 1, 2
Let l(g) = 6*g**2 + 141*g. Suppose -31*n = -32*n + 12. Let t(f) = 20*f - n + 12 + f**2. Let r(a) = -2*l(a) + 15*t(a). Factor r(o).
3*o*(o + 6)
Find j, given that 63/2*j + 1/2*j**3 + 19/2*j**2 + 45/2 = 0.
-15, -3, -1
Let h = -189 - -191. Let a(n) = -n**2 + 5*n + 3. Let v be a(5). Factor 14*u**2 - 240*u - u**v + 20*u**h + 26*u**2 + 320 - 4*u**3.
-5*(u - 4)**3
Let i(x) = x**2 - 1. Let u(h) be the first derivative of -h**5/5 + h**4/4 + 5*h**3/3 - h**2/2 - 4*h + 54. Let p(y) = 20*i(y) - 5*u(y). Factor p(t).
5*t*(t - 1)**2*(t + 1)
Solve -216*u - 44/3*u**4 - 12*u**2 + 4/3*u**5 + 148/3*u**3 + 288 = 0.
-2, 3, 4
Let m(h) be the third derivative of h**7/1155 - 41*h**6/330 + 364*h**5/55 - 392*h**4/3 - 43904*h**3/33 + 3*h**2 + 221. Suppose m(u) = 0. Calculate u.
-2, 28
Let j(h) be the first derivative of 10*h**6/3 - 92*h**5/5 - 120*h**4 - 496*h**3/3 - 64*h**2 + 2666. Determine w, given that j(w) = 0.
-2, -1, -2/5, 0, 8
Let j(g) = -g**2 - 4*g + 290. Let v be j(14). Suppose 2*m + 20 = 41*k - v*k, 0 = -k + 5*m - 2. Factor 40 + k*b + 2/5*b**2.
2*(b + 10)**2/5
Suppose -102*j - 103*j + 18 = -199*j. Let x(y) be the first derivative of 8 - 5/6*y**j + 0*y - 5/2*y**2. Factor x(p).
-5*p*(p + 2)/2
Suppose -5535*k + 4*r = -5534*k - 18, -k + 2*r = -10. Solve -2 - 2/3*l**k - 8/3*l = 0.
-3, -1
Let x = -1537 + 1492. Let y be ((-726)/x)/(68/102). Factor y + 1/5*h**2 - 22/5*h.
(h - 11)**2/5
Let m(a) be the second derivative of -a**9/15120 + a**7/2520 + a**4/6 + a + 4. Let q(g) be the third derivative of m(g). Factor q(n).
-n**2*(n - 1)*(n + 1)
Factor 120/13*b**2 + 28/13*b**3 + 2/13*b**4 + 128/13 + 16*b.
2*(b + 2)**3*(b + 8)/13
Let p = 536 - 531. Suppose 0*m = -2*m - p*m. Factor m - 24/5*n**3 - 6/5*n + 9/5*n**4 + 21/5*n**2.
3*n*(n - 1)**2*(3*n - 2)/5
Factor 3/5*g**3 - 156/5 + 48/5*g**2 + 21*g.
3*(g - 1)*(g + 4)*(g + 13)/5
Let o(g) be the second derivative of -g**5/4 + 6145*g**4/4 - 7552205*g**3/2 + 9281659945*g**2/2 - 7591*g. Solve o(b) = 0 for b.
1229
Suppose -262*i + 128*i + 268 = 0. Factor 0*f + 0 + 3/5*f**4 + 12/5*f**3 + 9/5*f**i.
3*f**2*(f + 1)*(f + 3)/5
Let n(f) be the third derivative of 25/2*f**3 - 3*f**4 - 1/20*f**5 + 0 - 15*f - 6*f**2. Factor n(j).
-3*(j - 1)*(j + 25)
Suppose 10038*a + 6831135 - 5036*a + 5*a**2 + 13998*a + 11218865 = 0. Calculate a.
-1900
Let k(b) = -14*b**2 + 6*b + 12. Let j(q) = 3*q - 5*q + 6*q + 9 - 9*q**2 + 0*q**2. Let v(x) = 8*j(x) - 5*k(x). Find m such that v(m) = 0.
-2, 3
Let w(h) be the third derivative of 0*h + 21/16*h**4 + 1/80*h**6 + 9/2*h**3 + 1/5*h**5 + 0 - 103*h**2. Find a, given that w(a) = 0.
-3, -2
Factor -20/3 + 8/3*q**2 - 34/9*q - 2/9*q**3.
-2*(q - 10)*(q - 3)*(q + 1)/9
Let y(u) = -12*u**3 - 128*u**2 + 1226*u + 356. Let x(r) = -r**3 - r**2 - r + 2. Let t(v) = -2*x(v) - y(v). Find i, given that t(i) = 0.
-15, -2/7, 6
Let y(u) = -8*u**3 - 196*u**2 + 389*u - 5. Let l(c) = -6*c**3 - 196*c**2 + 388*c - 4. Let o(r) = 5*l(r) - 4*y(r). Factor o(m).
2*m*(m - 96)*(m - 2)
Suppose -19 = 3*b - 31. Suppose 0 = -0*s + 2*s - b. Factor -2*y**2 + 20*y**3 + y**2 - 5*y**4 - 37 + 52 - 20*y - 9*y**s.
-5*(y - 3)*(y - 1)**2*(y + 1)
Let h(n) = -4*n - 21. Let w be h(-23). 