) = q*b(n) + 4*y(n). Find g, given that w(g) = 0.
0, 6/5
Let x(n) = 6*n**4 + n**3 - n. Let z(y) = -55*y**4 - 2*y**3 + 3*y**2 - 14*y + 14. Let j(f) = 36*x(f) + 4*z(f). What is g in j(g) = 0?
-2, 1, 7
Find c, given that -1/3*c**4 + 80/3*c**3 + 79/3 - 26*c**2 - 80/3*c = 0.
-1, 1, 79
Solve -95/2*b**2 + 70/3*b + 2 + 80/3*b**3 - 9/2*b**4 = 0 for b.
-2/27, 1, 2, 3
Let g be (-12 - -16)*2 + ((-49)/(-98) - (-26)/(-4)). Determine p so that 28/3*p**3 + 8/3*p**4 + 32/3*p**g + 0 + 4*p = 0.
-3/2, -1, 0
Suppose -4/5*x**4 + 41/5*x + 36/5 - 42/5*x**3 + 1/5*x**5 - 32/5*x**2 = 0. Calculate x.
-4, -1, 1, 9
Let c = 117 + -217. Let o be (-2)/10 - ((-1610)/c)/(-23). Factor m**3 + 0*m**2 + 1/2*m**4 - o - m.
(m - 1)*(m + 1)**3/2
Solve 716/3*j - 2/9*j**2 - 64082 = 0 for j.
537
Let w = -617 - -622. Let p(i) = -i**2 + 135*i - 234. Let v(t) = t**2 - 90*t + 156. Let r(d) = w*p(d) + 8*v(d). Suppose r(l) = 0. What is l?
2, 13
Let u(c) = -69*c + 349. Let g be u(5). Suppose 0 = p - g*a - 12, -3*p - a - 3*a = 12. What is q in p*q + 0*q**2 - 1/2*q**3 + 0 - 1/6*q**4 = 0?
-3, 0
Let j = 1017 - 1011. Let l be 1/12*j*6/5. Let -l*i - 4/5*i**2 + 1/5 = 0. Calculate i.
-1, 1/4
Factor 143/2 + 10*l - 3/2*l**2.
-(l - 11)*(3*l + 13)/2
Let d(z) be the third derivative of -z**5/240 + 1015*z**4/96 - 5731*z**2 + 2*z. Factor d(f).
-f*(f - 1015)/4
Let j(z) be the second derivative of z**5/100 + 7*z**4/3 - 283*z**3/30 + 71*z**2/5 + 147*z + 1. Solve j(i) = 0.
-142, 1
Solve -104 - 16661*w**3 + 14*w + 8332*w**3 + 8331*w**3 + 50*w**2 - 70*w = 0.
-26, -1, 2
Let z = 94780 + -94778. Determine k so that 68/3*k**z - 176/3*k + 16/3*k**3 - 16 = 0.
-6, -1/4, 2
Let p be 2/(-10 - 288/(-27)). Let c(k) be the first derivative of -1/3*k - 1/3*k**2 - 1 - 1/9*k**p. Factor c(v).
-(v + 1)**2/3
Let c(l) = 2*l**2 + l + 2. Let g(b) = 4*b**2 + 260*b - 4088. Let n be (-9 - -7)*3 + (-6)/(-3). Let x(a) = n*c(a) + g(a). Factor x(j).
-4*(j - 32)**2
Let m = -4512/5 - -904. Let y(v) be the first derivative of m*v + 4 + 1/10*v**4 - 2/5*v**3 + 0*v**2. Find i such that y(i) = 0.
-1, 2
Let f be (-738)/164 - (4 - (-1 + (-10532)/(-56))). Find n, given that 2/7*n**2 - 100/7*n + f = 0.
25
Let f(v) be the second derivative of -21*v**5/170 + 313*v**4/102 - 88*v**3/17 - 28*v**2/17 + 58*v + 3. Find u such that f(u) = 0.
-2/21, 1, 14
Let d(s) be the second derivative of -4/21*s**7 - 132*s - 43/45*s**6 - 17/18*s**4 - 10/9*s**3 + 41/15*s**5 + 0*s**2 + 0. Solve d(h) = 0 for h.
-5, -1/4, 0, 2/3, 1
Let d = -86999 + 435123/5. Let -d*v**4 + 32/5*v**3 + 2/5 + 72/5*v**2 + 22/5*v = 0. Calculate v.
-1/4, 1
Suppose -2380 - 2322 = -2351*v. Let -21/2*j**v - 39/4*j**3 - 9/4*j**4 + 6 + 3*j = 0. Calculate j.
-2, -1, 2/3
Let k(a) be the third derivative of -a**9/20160 - a**8/3360 + a**7/1680 + a**6/120 - 5*a**5/6 + 57*a**2. Let v(m) be the third derivative of k(m). Factor v(x).
-3*(x - 1)*(x + 1)*(x + 2)
Let r(o) = 204*o**3 + 424*o**2 + 240*o. Let a(h) = h**4 - 205*h**3 - 425*h**2 - 234*h. Let q(d) = -4*a(d) - 3*r(d). Let q(s) = 0. What is s?
-1, 0, 54
Let m(n) be the third derivative of 0*n**3 + 0*n - 2/105*n**5 + 0*n**4 + 103*n**2 - 1/42*n**6 + 0 - 1/588*n**8 - 8/735*n**7. Suppose m(u) = 0. Calculate u.
-2, -1, 0
Let z(o) be the second derivative of o**6/90 + 9*o**5/20 - o**4/36 - 3*o**3/2 + 179*o. Let z(j) = 0. Calculate j.
-27, -1, 0, 1
Factor 270*g - 3*g**2 - 72 + 230*g - g**2 + 51 - 475.
-4*(g - 124)*(g - 1)
Suppose -1197*w**3 - 82*w**2 - 104*w**2 + 1200*w**3 + 378 - 195*w = 0. What is w?
-2, 1, 63
Let l = -43506 + 43506. Find x such that 4/7*x**3 + l + 2/7*x**4 + 0*x + 2/7*x**2 = 0.
-1, 0
Let r be (-9)/5*(-172)/10320. Let g(l) be the second derivative of -30*l + 12/5*l**2 + 0 + 1/10*l**3 - r*l**5 - 2/5*l**4. Let g(u) = 0. Calculate u.
-8, -1, 1
Let g(q) = q**3 - 146*q**2 + 1234*q - 137. Let r be g(137). Factor 0 - 2/7*m**3 + r*m - 1/7*m**2 - 1/7*m**4.
-m**2*(m + 1)**2/7
Find z such that z**3 + 1439*z + 290*z - 26*z + 853*z**2 + 851 = 0.
-851, -1
Let x(t) be the third derivative of t**5/80 - 9*t**4/32 - 5*t**3/4 - 597*t**2. Let x(y) = 0. Calculate y.
-1, 10
Let x(k) be the first derivative of k**4/4 - 75*k**2/2 + 312*k - 226. Let h(i) be the first derivative of x(i). Solve h(y) = 0.
-5, 5
Let y(m) be the third derivative of -128/3*m**3 - 4*m**4 - 28*m**2 - 3/20*m**5 + 0*m + 0. Find v such that y(v) = 0.
-16/3
Suppose -1 = -351*x + 8 - 9. Determine q so that 7*q**4 - 8/3*q - 12*q**2 - 22/3*q**3 + x = 0.
-2/3, -2/7, 0, 2
Let p = -178845 - -178845. Factor -2/17*m**2 + 0 - 8/17*m**3 - 6/17*m**4 + p*m.
-2*m**2*(m + 1)*(3*m + 1)/17
Let x(g) = -8*g + g**2 - 21 - 6*g + 3*g. Let a be x(13). Factor -7*i**2 + 17*i**2 - 5*i**3 + 5*i**5 - a*i**4 - 5*i**2.
5*i**2*(i - 1)**2*(i + 1)
Let o be 1420/426*(-15)/(-350). Factor 1/7*y**3 + o*y + 0 + 2/7*y**2.
y*(y + 1)**2/7
Let a(q) be the first derivative of -q**7/168 + 5*q**6/12 - 75*q**5/8 - 14*q**3/3 + 2*q - 27. Let m(v) be the third derivative of a(v). Factor m(s).
-5*s*(s - 15)**2
Let k(v) be the third derivative of -2*v**7/105 - 2*v**6/15 + 5*v**5/3 + 14*v**4/3 + 569*v**2. Find a such that k(a) = 0.
-7, -1, 0, 4
Let j = 14358/50645 - -16/7235. Find w, given that -60/7*w - 450/7 - j*w**2 = 0.
-15
Let z(w) be the third derivative of -36*w**2 + 65/8*w**4 - 2/3*w**6 + 6*w**5 + 25/6*w**3 + 0 + 2*w. Factor z(g).
-5*(g - 5)*(4*g + 1)**2
Let d(q) be the first derivative of q**4/6 + 526*q**3/45 - 1876*q**2/15 + 472*q/5 + 1253. Let d(i) = 0. What is i?
-59, 2/5, 6
Let r(i) = -2*i**2 - 2*i. Let u(m) = 6*m**2 + 7*m - 2. Suppose 0 = -0*q - 9*q - 99. Let y(z) = q*r(z) - 4*u(z). Determine w, given that y(w) = 0.
-4, 1
Let o(l) be the third derivative of l**8/28 + 4*l**7/15 - l**6/15 - 64*l**5/15 - 11*l**4/2 + 12*l**3 + 1001*l**2. Solve o(m) = 0.
-3, -1, 1/3, 2
Let p(h) be the second derivative of -113*h + 0 + 21/8*h**2 - 1/48*h**4 - 5/6*h**3. Factor p(i).
-(i - 1)*(i + 21)/4
Let f = -43760/33358041 + -2/23311. Let c = 4283/7155 - f. Solve 0 + 6/5*g**2 + 0*g + 9/5*g**3 + c*g**4 = 0 for g.
-2, -1, 0
Suppose -121*o + 30 = 5*n - 116*o, 17 = 4*n + 5*o. Let d(m) be the first derivative of -1/5*m**4 - n + 8/15*m**3 + 1/5*m - 1/2*m**2. Factor d(r).
-(r - 1)*(2*r - 1)**2/5
Let m(o) = 5*o**3 + 2*o**2 + o + 1. Let t(y) = 41*y**3 + 28*y**2 + 29*y + 18. Let q(s) = 40*m(s) - 5*t(s). Factor q(u).
-5*(u + 1)**2*(u + 10)
Let u(w) = -5*w + 30. Let g(z) be the second derivative of z**4/12 - 2*z**3/3 + 14*z**2 - 2*z - 53. Let a(m) = -5*g(m) + 6*u(m). Factor a(r).
-5*(r - 2)*(r + 4)
Let r(p) be the third derivative of p**8/840 - 2*p**7/175 - 47*p**6/300 + 28*p**5/25 + 196*p**4/15 + 10*p**2 - 6*p + 2. Let r(q) = 0. What is q?
-4, 0, 7
Let s(x) be the second derivative of x**5/90 - 44*x**4/27 + 4255*x. Factor s(n).
2*n**2*(n - 88)/9
Suppose 4 = -3*z - 2*x + 4*x, 0 = -x + 5. Let u be 1/((-2)/4) - -5. Factor 120*c + u*c**z - 101*c + 0 - 14.
(c + 7)*(3*c - 2)
Let z = 405957/2 - 202956. Suppose 3/4*d**4 + 750*d + 0 + 225*d**2 + z*d**3 = 0. What is d?
-10, 0
Let z = -348 - -350. Suppose 0 = b + 1, -7*l + 51 = -z*l + 4*b. Factor 20*i + 3/2*i**4 + 31/2*i**2 - l*i**3 - 8.
(i - 4)**2*(i + 1)*(3*i - 1)/2
Let l = -8934 - -8936. Let w(g) be the second derivative of -3/20*g**5 + 0*g**4 + 0 + 24*g + 2*g**3 + 0*g**l. Factor w(p).
-3*p*(p - 2)*(p + 2)
Let y(d) be the third derivative of -d**9/30240 + d**8/2016 + d**7/420 - 23*d**5/20 - 27*d**2 + 1. Let o(s) be the third derivative of y(s). Factor o(c).
-2*c*(c - 6)*(c + 1)
Let q(s) be the second derivative of 3*s**6/10 - 15699*s**5/10 + 3042408*s**4 - 2357527767*s**3 - 4719113241*s**2/2 + 9*s - 21. Factor q(m).
3*(m - 1163)**3*(3*m + 1)
Let c be (-54)/(-14) - 3 - (-910)/(-2205). Find q such that -10/3*q + 44/9*q**3 - 8/9*q**2 - c - 14/9*q**5 + 4/3*q**4 = 0.
-1, -1/7, 1, 2
Suppose 7*f**2 + 9*f**2 + 12*f**2 - 74*f**2 + 43*f**2 - 381*f = 0. What is f?
-127, 0
Suppose 37*f - 459 = 466. Suppose 2*w + 8*m + f = 3*m, 5*w - 3*m = 15. Factor 0 + 0*j**2 + 1/3*j**4 + 0*j**3 + w*j - 1/3*j**5.
-j**4*(j - 1)/3
Let h(s) be the third derivative of -s**7/70 + 43*s**6/120 - 47*s**5/60 - 67*s**4/24 + 13*s**3/3 + 845*s**2. Solve h(f) = 0 for f.
-1, 1/3, 2, 13
Suppose 667 = 15*r + 12067. Let i = -757 - r. Factor 2/3*u**i + 1/3*u**4 + 0 - 2/3*u - 1/3*u**2.
u*(u - 1)*(u + 1)*(u + 2)/3
Let a(o) = -o + 2. Let l(m) = 4*m**2 + 130*m + 1020. Supp