Let x(z) = 5*z**2 - 4*z + 1. Let s(g) = 12*g**2 + 130*g + 870. Let b(y) = -s(y) + 2*x(y). Let b(w) = 0. Calculate w.
-62, -7
Let g(n) = -2*n**2 - 2*n - 2. Let x(k) = -10*k**2 - 18*k + 154. Let c(b) = 3*g(b) - x(b). Determine h, given that c(h) = 0.
-8, 5
Let l be (-26 - -21) + -51*1. Let c be ((-256)/l)/(4/2). Factor -4/7*h**2 + c*h + 0.
-4*h*(h - 4)/7
Suppose -1274 = 19*z - 17*z. Let j be z/(-1400) + (-8)/100. Factor -3/2 + 0*l - j*l**3 + 9/8*l**2.
-3*(l - 2)**2*(l + 1)/8
Suppose 60 = -5*s - 90. Let a = s + 32. Solve -58*i**a + 55*i**2 - 3*i**4 + 5*i**3 + 0*i**3 + 5*i**3 = 0 for i.
0, 1/3, 3
Let s = 335 + -323. Suppose -70*f = -73*f + s. Determine n, given that -9/4*n - 27/8 + 3/8*n**f + 9/4*n**3 + 3*n**2 = 0.
-3, -1, 1
Let m = 34449/115 - 6876/23. Factor 0 + 4/5*n**2 - 1/5*n**3 - m*n.
-n*(n - 3)*(n - 1)/5
Let r(m) be the second derivative of -m**7/1260 + 11*m**6/180 + 111*m**4/4 + 28*m - 2. Let j(t) be the third derivative of r(t). Suppose j(b) = 0. Calculate b.
0, 22
Let a(r) be the third derivative of 25*r**2 + 0*r - 19/120*r**6 + 0*r**3 - 1/30*r**7 + 1/6*r**4 + 0 - 2/15*r**5. Suppose a(w) = 0. Calculate w.
-2, -1, 0, 2/7
Let s be 18*(-27 - (-14916)/550)/(3/135). Factor 2/5*f**5 - 6/5*f**4 + 108/5*f**2 + 162/5*f - s - 36/5*f**3.
2*(f - 3)**3*(f + 3)**2/5
Let t(w) be the third derivative of -w**5/80 - 15*w**4/32 + 2*w**3 - 1469*w**2. Factor t(j).
-3*(j - 1)*(j + 16)/4
Let u = -19513/42 - -1394/3. Let p(k) be the third derivative of 1/3*k**5 + 0 + 0*k**4 + 1/6*k**6 - u*k**7 + 0*k + 45*k**2 + 0*k**3. Factor p(z).
-5*z**2*(z - 2)*(3*z + 2)
Let q(g) be the third derivative of -1/20*g**7 - 5/4*g**3 + 135*g**2 + 0*g + 1/448*g**8 - 4/5*g**5 + 41/32*g**4 + 0 + 23/80*g**6. Let q(l) = 0. Calculate l.
1, 10
Let z(f) be the second derivative of -f**4/16 - 939*f**3/4 - 2645163*f**2/8 - 752*f + 2. Find k such that z(k) = 0.
-939
Let i(q) be the first derivative of q**8/560 + q**7/525 - q**6/600 + 3*q**2/2 + 47. Let l(o) be the second derivative of i(o). Determine s so that l(s) = 0.
-1, 0, 1/3
Let j be (-3)/(-18)*(5 - 1). Suppose 0 = 3*g + 4*a - 73, 7*g = -95*a + 91*a + 85. Let -2*v**2 - 4/3*v + j*v**g + 2*v**4 + 0 + 2/3*v**5 = 0. What is v?
-2, -1, 0, 1
Let t(z) = z**3 + 7*z**2 + 7*z - 12. Let c be t(-4). Suppose -c*v - 12 = -10*v + 3*s, -2*s - 7 = -v. What is w in -9/5*w + 3/5*w**2 + 4/5*w**v + 2/5 = 0?
-2, 1/4, 1
Let s(f) be the second derivative of -f**7/1680 - f**6/120 - 3*f**5/160 + 3*f**4/32 + 253*f**2/2 - 281*f. Let k(i) be the first derivative of s(i). Factor k(t).
-t*(t - 1)*(t + 3)*(t + 6)/8
Let j(g) = -g**2 + 8*g - 15. Let f be j(3). Suppose -5*t + 0*t + 15 = f. Factor 3*u**2 - 1 - t*u**2 + 3*u**2 + u**3 - 2 - u.
(u - 1)*(u + 1)*(u + 3)
Let z be 2/(2/7) + (-7392)/1120. Factor 7/5*m**4 + 1/5*m**5 - z*m**2 + 2*m**3 - 1 - 11/5*m.
(m - 1)*(m + 1)**3*(m + 5)/5
Suppose -14*f + 13*f + 84 = 0. Factor -192 - 37*r**4 - 15*r**3 - f*r**2 - 44*r**4 + 125*r**4 - 45*r**4 - 208*r.
-(r + 3)*(r + 4)**3
Suppose 31 = 2*h - 2*o - 63, -3*h + 2*o + 139 = 0. Determine x, given that -h*x + 5*x + 4*x**2 + 6 + 94 = 0.
5
Let i(a) be the second derivative of a**7/84 - 11*a**5/20 - a**4/2 + 39*a**3/4 + 27*a**2 + 575*a. Suppose i(z) = 0. Calculate z.
-3, -1, 3, 4
Let g(z) = -8*z**4 + 84*z**3 + 1072*z**2 + 4726*z + 3706. Let x(d) = -d**4 + d - 2. Let j(o) = g(o) - 10*x(o). Factor j(t).
2*(t + 1)*(t + 9)**2*(t + 23)
Let x(w) = w**2 - 11*w + 26. Let d be x(3). Suppose 10 = 4*s - d*n + 6, -4*s + 3*n + 2 = 0. Factor 0 + 2/9*i**s + 1/9*i**3 + 1/9*i.
i*(i + 1)**2/9
Let o(n) be the first derivative of -3*n**4/4 - 22*n**3 - 267*n**2/2 - 204*n - 12. Factor o(r).
-3*(r + 1)*(r + 4)*(r + 17)
Let h(o) be the first derivative of 3*o**5/5 + 711*o**4/2 + 55692*o**3 - 169932*o**2 + 5392. Factor h(l).
3*l*(l - 2)*(l + 238)**2
Let b = 774345 - 774345. Find w such that 10/3*w**3 - 48*w**2 + 56/3*w + b = 0.
0, 2/5, 14
Suppose -5*v = 4*l + 32, -16*l + 18*l - 2*v = 20. Suppose 3/4*x**3 + 0 + 33/4*x**l + 0*x = 0. Calculate x.
-11, 0
Let g = -1985621/7 + 283671. Let 50/7*y + 6/7 + g*y**2 = 0. What is y?
-1/2, -3/19
Suppose -5*i = -4*i - 3*m + 4, -5*m = -5. Let g(k) = k**2 - k. Let v(j) = 4*j**3 - 22*j**2 + 26*j - 8. Let z(p) = i*v(p) - 6*g(p). Factor z(o).
-4*(o - 2)*(o - 1)**2
Let r(s) be the third derivative of 0 - 40*s - s**2 - 5/3*s**3 - 17/120*s**5 + 0*s**6 + 1/420*s**7 + 3/4*s**4. Factor r(k).
(k - 2)**2*(k - 1)*(k + 5)/2
Let f = -112894 - -225789/2. Determine j, given that -2*j**3 + 0*j - f*j**4 - 3/2*j**2 + 0 = 0.
-3, -1, 0
Let j(d) = 4*d**3 - 6*d**2 + 2*d. Suppose 5*b = -6 - 4. Let o(a) = -5*a - 41*a**2 - 15*a**2 + 56*a**2 + 4*a - a**3. Let t(x) = b*o(x) - j(x). Factor t(l).
-2*l**2*(l - 3)
Let o(g) be the second derivative of g**4/48 + 49*g**3/24 - 51*g**2/4 + 2*g + 334. Solve o(r) = 0 for r.
-51, 2
Suppose -25*w + 940 = -29*w. Let n be (-4)/35 + (-94)/w. Factor 16/7*q - 32/7 - n*q**2.
-2*(q - 4)**2/7
Suppose 23*v = 92 + 23. Let i(k) be the third derivative of 0*k + 1/360*k**v + 0 - 1/48*k**4 + 1/18*k**3 - 8*k**2. Factor i(d).
(d - 2)*(d - 1)/6
Let z(s) = -s**2 + 28*s + 248. Let o be z(35). Factor 2*p - p + 3*p - o*p + p**2.
p*(p + 1)
Factor 5130*c + 37*c**2 + 39*c**2 + 118331 - 309160 - 2002246 - 79*c**2.
-3*(c - 855)**2
Let x be (-8)/108*(0 - -2). Let t = x + 43/108. Find u, given that -1/4*u**2 - t + 1/2*u = 0.
1
Let b(k) be the third derivative of k**8/50400 - k**7/420 + 71*k**5/60 - 3*k**2 - 12*k. Let o(q) be the third derivative of b(q). Factor o(g).
2*g*(g - 30)/5
Let j(w) be the first derivative of -w**4/4 + 23*w**3/2 + 35*w**2/4 - 5499. Solve j(i) = 0 for i.
-1/2, 0, 35
Find v, given that 23973*v**2 - 2116*v**3 + 9972*v**2 - 55*v**4 + 63331*v + 7200 - 4177*v**2 - 24211*v + 91*v**4 = 0.
-1, -2/9, 30
Let b = -7913 + 7915. Let w(a) be the second derivative of 26*a + 10/3*a**3 - 1/4*a**5 + 0 - 4/3*a**6 + 0*a**b + 10/3*a**4 - 5/14*a**7. Solve w(v) = 0 for v.
-2, -1, -2/3, 0, 1
Solve 106 + 2/5*r**2 - 532/5*r = 0 for r.
1, 265
Suppose 131 = -5*x - 219. Let k be x/(-44) + 11/(-22). Suppose -2/11*l**3 + k + 8/11*l**2 + 2*l = 0. What is l?
-1, 6
Find b such that -288 + 840*b + 45/2*b**4 + 435/2*b**3 + 1/2*b**5 - 1585/2*b**2 = 0.
-24, 1
Let p = -302719 + 302721. Let 8/3*g**3 - 2/3*g**4 + 0*g**p + 32/3 - 32/3*g = 0. Calculate g.
-2, 2
Let d(o) = -o**4 - o**3 + o**2 + o. Let r(h) = -11*h**4 + 254*h**3 - 3369*h**2 - 254*h + 3380. Let y(v) = -6*d(v) + r(v). Factor y(f).
-5*(f - 26)**2*(f - 1)*(f + 1)
Determine n, given that 0*n**4 + 0 + 2/5*n + 9/5*n**2 + 11/5*n**3 - 4/5*n**5 = 0.
-1, -1/2, 0, 2
Suppose -4*c - 10 = -4*z + c, -4*z + 18 = -c. Suppose 3 = 2*a + l, a + 15 = 6*a - z*l. Factor -7*v**a - 23*v + 9*v**3 + 4 + 52*v**2 - 15*v**2.
(v + 4)*(3*v - 1)**2
Suppose 0 = 2*f + 3*k + 7, 2*k + 0 = -2*f - 2. Suppose -r + v + 7 = 0, f*r + 2*v = v + 3. Factor 20*i**r + i**4 - 10*i**2 + 2*i + 4*i**3 - 5*i**2.
i*(i + 1)**2*(i + 2)
Find z, given that 2/5*z**4 - 1844/5*z**2 + 1842/5 + 368*z**3 - 368*z = 0.
-921, -1, 1
Suppose -5*d - 20 = 0, -8*z + 13*z - 5*d = 20. Factor z*c**5 + 8*c**3 - c**5 + 10*c**3 - 2*c**4 - 21*c**3 + 2*c**5.
c**3*(c - 3)*(c + 1)
Let -54285/4*w + 117*w**2 - 1/4*w**3 - 55225/2 = 0. Calculate w.
-2, 235
Suppose -4*n - 2*l + 12 + 20 = 0, -5*n = -2*l - 4. Factor 0*p**3 + 2/9*p**n - 14/9*p**2 + 4/3*p + 0.
2*p*(p - 2)*(p - 1)*(p + 3)/9
Factor 4/3*u + 2/3*u**2 - 2.
2*(u - 1)*(u + 3)/3
Let k(i) = 4*i**2 - 5*i - 2. Let b be k(-3). Suppose -4*x - b = w - 4*w, -3*w - x = -29. Factor 7*g - 12*g - 180*g**3 - 49*g**2 - w*g**2.
-5*g*(6*g + 1)**2
Let y = -733595 - -733598. Factor 1/2*x**2 - 2 + 2*x - 1/2*x**y.
-(x - 2)*(x - 1)*(x + 2)/2
Let p(l) be the second derivative of -1/168*l**7 + 1349/24*l**4 + 841/8*l**2 + 0 + 61/120*l**6 - 2581/24*l**3 - 509/40*l**5 + 62*l. Solve p(v) = 0.
1, 29
Let k(j) be the first derivative of 56/5*j - 2/15*j**3 - 3/5*j**2 + 106. Factor k(a).
-2*(a - 4)*(a + 7)/5
Let v(y) be the third derivative of -1/40*y**6 + 1/8*y**4 + 1/420*y**7 - 3*y**2 + 1/30*y**5 - 78 - 5/12*y**3 + 0*y. Determine q, given that v(q) = 0.
-1, 1, 5
Let o be (-4)/(-24) + (-258)/36 + 72/6. Let m(i) be the first derivative of 18*i**2 - 33 - 12/5*i**o - i**3 - 12*i - 9*i**4. Determine l so that m(l) = 0.
-2, 1/2
Let n(y) = 63*y**2 - 291*y - 576. Let k(p) = -11*p**2 + 1. Let u(l) = 6*k(l) + n(l). F