 + 0*f**3 - d*f**4. Factor s(g).
g*(g + 2)*(7*g - 2)/3
Let r be ((-42)/27)/(5 + 63795/(-12762)). Let t = 1324 + r. Let 2/3*v**4 - 4/15*v**3 - t + 32/15*v - 2*v**2 = 0. Calculate v.
-2, 2/5, 1
Factor 714/5*a + 3/5*a**2 - 288.
3*(a - 2)*(a + 240)/5
Let y(f) be the second derivative of -f**6/30 + 5*f**5/16 - 19*f**4/24 + f**3/3 - 1222*f. Factor y(u).
-u*(u - 4)*(u - 2)*(4*u - 1)/4
Find j such that 5/3 + 3/2*j - 1/6*j**2 = 0.
-1, 10
Let w = 20518/71 - 289. Let j = 74/213 + w. Factor 2/3*b**3 + 0*b**2 + 0 + 0*b**4 - 1/3*b - j*b**5.
-b*(b - 1)**2*(b + 1)**2/3
Suppose 8*g - 10*g + 12 = 0. Let c(x) = -g*x - 4 + 6*x**2 + 0*x**2 - x**2. Let l(y) = 10*y**2 - 13*y - 9. Let b(h) = 9*c(h) - 4*l(h). Factor b(s).
s*(5*s - 2)
Suppose -5*z + s + 15 + 12 = 0, z + 5*s + 5 = 0. Suppose 41*c - 990 = -2*c + 10*c. Find m such that c*m**2 - 2*m**3 - 617 - 3*m**3 - z*m**4 + 617 = 0.
-3, 0, 2
Let v(w) = w**2 - w. Let x be v(2). Let m = -1/392 - -1573/1960. Factor -8/5*p + m + 4/5*p**x.
4*(p - 1)**2/5
Let f(z) be the first derivative of 2*z**3/21 - 47*z**2/7 - 1140*z/7 - 4698. Suppose f(y) = 0. What is y?
-10, 57
Suppose 436*f + 12 = 442*f. Let t be ((-12)/f + 4)/(-7). Factor 32/7*c + 8/7 + 50/7*c**2 + 38/7*c**3 + 2*c**4 + t*c**5.
2*(c + 1)**3*(c + 2)**2/7
Let -6*g - 308 + 2*g - 1104*g**2 + 12*g**5 - 1448*g**3 + 492 - 520*g**4 = 0. Calculate g.
-1, 1/3, 46
Let l(s) be the third derivative of 1/30*s**5 - 13/12*s**4 - 3 - s**2 - 14/3*s**3 + 0*s. Find j such that l(j) = 0.
-1, 14
Let a(w) be the first derivative of -144*w**2 - 1/2*w**6 + 36/5*w**5 + 106*w**3 - 159/4*w**4 + 96*w - 83. Solve a(d) = 0.
1, 2, 4
Suppose -69*l + 2090 = 703*l + 273*l. Solve 2/3*f**3 - 14/3*f**l + 2/3*f**4 + 4 - 2/3*f = 0 for f.
-3, -1, 1, 2
Let w = 39 + -36. Factor 0*d**4 - 732*d**w + 10248*d - 8*d**4 - 10*d**4 - 1235*d**2 - 3528 - 5703*d**2.
-2*(d + 21)**2*(3*d - 2)**2
Determine n so that 0 + 2/5*n**3 - 96/5*n - 44/5*n**2 = 0.
-2, 0, 24
Factor 1566 - 3*m**2 - 4210*m + 1647*m + 2050*m.
-3*(m - 3)*(m + 174)
Suppose -711*n + 90 = -702*n. Let f be (13 - (-189)/(-18))*12/n. Determine a so that 24/5 + 18/5*a**2 + f*a**3 - 12*a - 6/5*a**4 = 0.
-2, 1/2, 2
Suppose 2*z = 7*z - 135. Let y = 176 - 172. Factor -30*o**2 - 3*o**y + z*o**2 + 0 + 6*o**3 + 0.
-3*o**2*(o - 1)**2
Find q, given that -3/5*q**3 + 3492/5 + 1752/5*q - 1743/5*q**2 = 0.
-582, -1, 2
Let m(a) be the third derivative of -a**8/448 + a**7/56 + 3*a**6/80 + 797*a**2 - a. Factor m(y).
-3*y**3*(y - 6)*(y + 1)/4
Suppose 0*b + 116/11*b**3 + 0 + 0*b**2 + 2/11*b**5 - 62/11*b**4 = 0. Calculate b.
0, 2, 29
Let n = 6937 + -249731/36. Let l(c) be the third derivative of 0 + 0*c + 7*c**2 - 1/90*c**6 - 1/72*c**4 - n*c**5 + 0*c**3. Factor l(u).
-u*(u + 1)*(4*u + 1)/3
Let a = 7493 - 7493. Let l(y) be the third derivative of 1/6*y**3 + 1/60*y**5 - 29*y**2 + 0 + 1/12*y**4 + a*y. Solve l(d) = 0.
-1
Let i(b) be the first derivative of -b**5/270 - 17*b**4/108 + b**2/2 - 2*b + 7. Let w(v) be the second derivative of i(v). Find x such that w(x) = 0.
-17, 0
Let 0*d**2 - 2/13*d**4 - 160/13*d**3 + 0*d + 0 = 0. What is d?
-80, 0
Let c(d) = 2*d**2 + 10*d - 19. Suppose -2*z = -3*n + 13, -3*n = 3*z - 5*n + 7. Let s(u) = -u**2 - 2. Let i(p) = z*c(p) + 3*s(p). Factor i(w).
-(w - 5)**2
Factor 12 - 4107/4*w**3 - 447*w + 4218*w**2.
-3*(w - 4)*(37*w - 2)**2/4
Let f be 16/9 - 20/(-90). Find b such that -5*b**f + 491*b - 275*b + 125 - 336*b = 0.
-25, 1
Let j(q) be the first derivative of -9*q**5 - 735*q**4/4 + 2500*q**3/3 + 2130*q**2 + 1520*q + 2267. Suppose j(h) = 0. Calculate h.
-19, -2/3, 4
Let h(w) be the first derivative of -w**4/8 - 101*w**3/3 + 203*w**2/4 + 2705. What is b in h(b) = 0?
-203, 0, 1
Let p = 21035/132 - 647/4. Let k = p + 30/11. Find m such that 1/6*m**4 + k*m + 0 + 5/6*m**2 + 2/3*m**3 = 0.
-2, -1, 0
Let n(f) be the third derivative of -f**7/2016 + 13*f**6/576 - f**5/8 - f**4/6 + f**3/3 + 74*f**2. Let d(x) be the second derivative of n(x). Factor d(q).
-5*(q - 12)*(q - 1)/4
Let p(m) = 22*m**3 - 226*m**2 - 4812*m - 15480. Let x(b) = -9*b**3 + 89*b**2 + 1925*b + 6192. Let h(a) = -5*p(a) - 12*x(a). Let h(s) = 0. What is s?
-6, 43
Suppose 2*k - 15 = -3*t, -k = 6*t - 7*t. Let s be -1 - (k/5)/(72/(-192)). Factor 0 + 3/5*a**3 - s*a**4 + 3/5*a**2 - 3/5*a.
-3*a*(a - 1)**2*(a + 1)/5
Factor 4*k**2 - 310 - 2*k**3 - 308*k + 177*k - 491*k - 105*k**2 - 213*k**2.
-2*(k + 1)**2*(k + 155)
Let x = -22 - -25. Suppose k + x = -5*w, k - 3*w - 5 = -0*w. Factor -6*c**2 + 2*c**2 + 2*c**k + 2*c**3.
2*c**2*(c - 1)
Suppose 0 = 433*y - 552*y + 357. Let u(j) be the first derivative of -1/6*j**4 - 25/3*j**2 + 0*j + 11 + 20/9*j**y. Determine r, given that u(r) = 0.
0, 5
Let m(s) = -s**3 - 116*s**2 - 2*s + 2. Let h(j) = -j**3 + 3*j**2 - j + 1. Let r(f) = -2*h(f) + m(f). Solve r(g) = 0 for g.
0, 122
Factor 209/2*i**2 + 120*i + 1/2*i**4 - 15*i**3 + 0.
i*(i - 16)*(i - 15)*(i + 1)/2
Suppose 0 = 2*f + 3*t - 1299, 2601 = -f + 5*f + 5*t. Let v = f - 3268/5. Factor -v*h + 4/5 + 2/5*h**3 - 4/5*h**2.
2*(h - 2)*(h - 1)*(h + 1)/5
Let p(x) be the second derivative of x**4/24 + 19*x**3/6 + 44*x + 129. Suppose p(h) = 0. Calculate h.
-38, 0
Let a(n) be the third derivative of -n**7/210 + n**6/6 - 209*n**3/6 + n**2 - 17. Let i(r) be the first derivative of a(r). Factor i(z).
-4*z**2*(z - 15)
Let b(s) = 2*s**2 - 4*s + 3. Let c(q) = 3*q**2 - 5*q + 4. Let n be 2 - (-36)/(-8) - (-4)/(-8). Let p(r) = n*c(r) + 4*b(r). Factor p(h).
-h*(h + 1)
Let q(h) = 76*h**3 + 540*h**2 - 13516*h + 65140. Let a(y) = -24*y**3 - 181*y**2 + 4505*y - 21713. Let r(o) = 16*a(o) + 5*q(o). What is b in r(b) = 0?
-67, 9
Let l(z) = -10*z**4 + 2*z**2 + 8*z. Let c = 13 - 5. Let f(j) = j**4 - j. Let r(d) = c*f(d) + l(d). Find b, given that r(b) = 0.
-1, 0, 1
Let u be (-9*(-20)/450)/(16/6*13/130). Factor 3*l - 3/2 - u*l**2.
-3*(l - 1)**2/2
Let s(r) = -35*r**2 - 1993*r - 3737. Let h be s(-55). Find j, given that 284/5*j**2 + 92/5*j**h + 208/5*j + 16/5 = 0.
-2, -1, -2/23
Let p be ((-210)/245)/(4/(-14)). Suppose -p*q - 27 = -12*q. Factor 0*u + 0*u**2 + 4/3*u**q + 2/3*u**4 + 0.
2*u**3*(u + 2)/3
Let y(s) be the second derivative of -5/2*s**2 - 21 - 6615/16*s**4 + 105/2*s**3 + 3*s. Factor y(f).
-5*(63*f - 2)**2/4
Suppose 1169*b + 55*b - 243 = -14 + 2219. Factor 1/7*k**3 + 17/7 + 5*k + 19/7*k**b.
(k + 1)**2*(k + 17)/7
Let q(n) = -4*n**5 + 17*n**4 - 59*n**3 + 55*n**2 + 3*n. Let t(m) = -7*m**5 + 34*m**4 - 117*m**3 + 109*m**2 + 5*m. Let p(v) = -5*q(v) + 3*t(v). Factor p(a).
-a**2*(a - 13)*(a - 2)**2
Let l = 6617590/11 + -601599. Suppose 1/11*v**3 - 6/11 - l*v + 6/11*v**2 = 0. Calculate v.
-6, -1, 1
Suppose -111 = 2*g + 3*h - 88, -4*h = 36. Factor -1/2*r**g + 31/3*r - 20/3.
-(r - 20)*(3*r - 2)/6
Determine w, given that -90*w - 78*w + 12*w**2 + 17*w - 288 + 19*w + 3*w**3 = 0.
-8, -2, 6
Let d(w) be the third derivative of -w**6/420 + 71*w**5/210 - 58*w**4/3 + 560*w**3 - 4341*w**2 - 2. Determine n, given that d(n) = 0.
15, 28
Suppose -6 = -12*x + 90. Suppose -x - 12 = -10*j. Factor -1/2*a**4 + 0*a**j + 0 + 0*a + 1/3*a**5 + 1/6*a**3.
a**3*(a - 1)*(2*a - 1)/6
Find x such that -6 - 22/5*x**2 - 8/15*x**3 - 148/15*x = 0.
-5, -9/4, -1
Factor -117058*w + 70 + 116894*w - w**2 + 95.
-(w - 1)*(w + 165)
Let j(o) = -6*o**2 + 40*o - 39. Suppose 0 = 3*l - 79 + 64. Let x(s) = -4*s**2 + 20*s - 19. Let k(a) = l*x(a) - 3*j(a). Factor k(n).
-2*(n - 1)*(n + 11)
Suppose -4*a - 18 = -5*a - 4*s, 0 = 3*a - 3*s + 6. Let f = -5048 - -5088. Factor -21*j - f*j + 21*j + 15 + 25*j**a.
5*(j - 1)*(5*j - 3)
Suppose 4*h + 15 = 3. Let q be 2 - ((-2 - h) + 1). Factor 101 + q - 18*g + g**2 - 20.
(g - 9)**2
Let a(i) = -10*i**3 - 50*i**2. Let b(x) be the third derivative of -x**6/8 - 5*x**5/4 - 78*x**2. Let r(h) = 7*a(h) - 5*b(h). Factor r(c).
5*c**2*(c + 5)
Let y(c) = -76*c**2 + 728*c - 1460. Let j(t) = -14*t**2 + 146*t - 292. Let h(m) = 11*j(m) - 2*y(m). Factor h(n).
-2*(n - 73)*(n - 2)
Let r be 33/(((-9)/2)/(-3)). Let j = r + -20. Determine y, given that -20*y + 8*y + 6*y**j - 34*y**2 - 4*y**4 - 20*y**3 = 0.
-3, -1, 0
Let p = -71763 + 143529/2. Factor -p*c + 1/5 + 12/5*c**2 + 8/5*c**3.
(c + 2)*(4*c - 1)**2/10
Let r(j) = 61*j**2 - j - 1. Let c be r(1). Factor 25*z**4 - 40*z - 69*z**2 + 40*z**3 + c*z**2 + 0 - 15.
5*(z - 1)*(z + 1)**2*(5*z + 3)
Let f = 578212/9 + -64244. Suppose 4/3 + f*q + 4/