 + 1)**3/3
Let u be (-4)/25248*-10484 - (-3 + 4). Let z = u + 3/526. Solve 0 + z*p - p**2 + 1/3*p**3 = 0 for p.
0, 1, 2
Let u be 8/(-18) - 22209/(-1188) - 12 - 4. Suppose 11/4*b**2 - 1 - 4*b + u*b**3 = 0. Calculate b.
-2, -2/9, 1
Suppose 2*a - 55*z + 54*z = 13, -5*a - 4*z = -39. Let s be a - (-220)/(-14) - -9. Factor -30/7*b + 18/7 - s*b**3 + 2*b**2.
-2*(b - 3)**2*(b - 1)/7
Let b(x) = 585*x - 42099. Let u be b(72). Determine s so that -42/5 - u*s**3 - 12/5*s**2 + 159/5*s = 0.
-7/5, 2/7, 1
Solve 1023*p**4 - 93432/5*p + 263151/5*p**3 + 5*p**5 + 30845*p**2 + 10404/5 = 0.
-102, -1, 1/5
Suppose 8748/7*v - 4509/7*v**2 + 1149/7*v**4 - 165/7*v**5 + 324/7 - 1443/7*v**3 = 0. Calculate v.
-2, -2/55, 3
Suppose 5*n + 18 + 12 = 0. Let j(w) = -2*w**2 - 14*w - 8. Let p be j(n). Factor 4*u**4 - 2*u**p + 0*u**4 + 2*u - 2*u**3 - 2*u**2 + 0*u**2.
2*u*(u - 1)**2*(u + 1)
Let r(t) be the third derivative of -64*t**2 + 1/7*t**3 + 0 + 0*t**5 + 0*t + 1/280*t**6 - 3/56*t**4. Find j such that r(j) = 0.
-2, 1
Let t = -159426 + 159428. Find x, given that 0 + 64/5*x**t + 0*x - 124/5*x**3 + 4/5*x**5 + 56/5*x**4 = 0.
-16, 0, 1
Let r be 24/(-5)*(36/(-168))/((-6)/(-20)). Factor -r*l + 22/7 + 2/7*l**2.
2*(l - 11)*(l - 1)/7
Let c(f) = 7*f**4 + 10*f**3 - 283*f**2 + 5. Let r(a) = 4*a**4 + 4*a**3 - 141*a**2 + 3. Let j(b) = -3*c(b) + 5*r(b). Let j(u) = 0. Calculate u.
-18, 0, 8
Factor -182*i + 334 - 4*i**2 + 3*i**2 + 248*i + 270*i + 3*i**2.
2*(i + 1)*(i + 167)
Let f(y) be the first derivative of -135*y - 5/3*y**3 + 51 - 30*y**2. Find t, given that f(t) = 0.
-9, -3
Suppose 0 = 13*g + 13 - 39. Factor 44*t**g - 3*t - 13*t**2 - 3 + 3*t**3 - 28*t**2.
3*(t - 1)*(t + 1)**2
Determine d so that 531/4*d**2 + 537/4*d - 3/4*d**4 + 171/4*d**3 + 45 = 0.
-1, 60
Let b(z) be the third derivative of -z**6/70 + 3*z**5/14 - 9*z**4/14 - 91*z**2 + 3*z. Factor b(x).
-6*x*(x - 6)*(2*x - 3)/7
Let z(o) be the second derivative of -o**5/40 - 11*o**4/12 - 7*o**3/4 - 4398*o. Factor z(u).
-u*(u + 1)*(u + 21)/2
Let w(o) = 5*o**4 + 4*o**3 - 11*o**2 + 11*o + 3. Let p(a) = -19*a**4 - 16*a**3 + 45*a**2 - 43*a - 11. Let h(q) = -6*p(q) - 22*w(q). Factor h(s).
4*s*(s - 1)**2*(s + 4)
Let z(q) = -q**2 + 23*q + 10. Let b(w) = 5*w - 17. Let i be b(8). Let r be z(i). What is v in 2*v**3 + 3*v**4 - 4 - 8*v**3 + 4*v**3 - v**4 - 6*v**2 + r*v = 0?
-2, 1
Let y(x) be the second derivative of -x**6/120 - x**5/20 - 5*x**4/48 - x**3/12 - 1666*x. Factor y(g).
-g*(g + 1)**2*(g + 2)/4
Let m = 6467 - 6463. Let h(o) be the first derivative of -1/24*o**m + 23 + 1/30*o**5 - 1/9*o**3 + 0*o + 0*o**2. Factor h(y).
y**2*(y - 2)*(y + 1)/6
Let g(h) be the third derivative of h**8/168 + 32*h**7/45 + 22*h**6/5 + 391*h**5/45 + 23*h**4/12 - 142*h**3/9 + 3*h**2 + 172*h + 1. Find l such that g(l) = 0.
-71, -2, -1, 1/3
Let v(b) be the third derivative of -b**7/42 - 31*b**6/24 - 105*b**5/4 - 1755*b**4/8 - 32*b**2 + 3*b + 3. Determine x so that v(x) = 0.
-13, -9, 0
Let z(m) = -4*m - 84. Let w be z(-22). Let j be (w/(-12))/((-4)/6). Factor 1/2*n**2 - 6 - j*n.
(n - 4)*(n + 3)/2
Let x(f) be the second derivative of -5*f**4/48 - 1495*f**3/12 - 447005*f**2/8 - 2*f - 219. Let x(p) = 0. Calculate p.
-299
Let s be -15 + -7 - (-504)/21. Factor -16/3*p**4 - 8/3*p**s - 20/3*p**3 - 4/3*p**5 + 0*p + 0.
-4*p**2*(p + 1)**2*(p + 2)/3
Let z(c) be the first derivative of -3*c**5/35 - 75*c**4/28 - 47*c**3/7 - 69*c**2/14 - 260. Solve z(b) = 0.
-23, -1, 0
Let q(g) = g**2 - 16*g + 1. Let x be q(14). Let n = 62 + x. What is l in -5*l**3 - 240*l + n*l**2 + 33*l**2 - 21*l**2 - 320 + 28*l**2 = 0?
-1, 8
Let d(c) be the second derivative of -c**6/10 - 3*c**5/20 + 3*c**4 - 766*c. Factor d(k).
-3*k**2*(k - 3)*(k + 4)
Let h(z) be the second derivative of -5*z**7/42 - z**6/6 + 3*z**5/4 + 5*z**4/12 - 5*z**3/3 + 3121*z. Find n such that h(n) = 0.
-2, -1, 0, 1
Suppose -m = f - 2, -4*m + 2*f = m + 18. Let s be ((-2)/m)/((-41)/(-82)). Factor -1/2*h**3 + 1/10*h + 2/5*h**s + 0.
-h*(h - 1)*(5*h + 1)/10
Find y, given that -93025/6 - 1/6*y**3 - 30805/2*y + 203/2*y**2 = 0.
-1, 305
Determine m so that -5/3*m**3 + 2*m + 0 - 1/3*m**5 + 5/3*m**2 - 5/3*m**4 = 0.
-3, -2, -1, 0, 1
Let z(a) be the second derivative of a**5/60 - 73*a**4/4 + 35861*a**3/6 + 108241*a**2/6 - 145*a - 8. Factor z(w).
(w - 329)**2*(w + 1)/3
Let i(w) be the first derivative of -w**6/240 + 13*w**5/40 - 15*w**4/2 - 100*w**3/3 - 54*w**2 + 138. Let c(y) be the second derivative of i(y). Factor c(u).
-(u - 20)**2*(u + 1)/2
Let b(x) be the first derivative of x**6/2 + 6*x**5/5 - 21*x**4/2 + 8*x**3 + 39*x**2/2 - 30*x + 316. Solve b(j) = 0.
-5, -1, 1, 2
Let a(t) = 6*t**3 - 24*t**2 - 114*t + 144. Let z(o) = -14*o**3 + 45*o**2 + 227*o - 288. Let i(h) = -10*a(h) - 4*z(h). Factor i(f).
-4*(f - 18)*(f - 1)*(f + 4)
Factor -158*o + 82*o + 170*o - 80 + 30*o**2 + 113*o + 268*o.
5*(o + 16)*(6*o - 1)
Suppose -190556*k = -190534*k - 0 - 0. Let j(u) be the second derivative of 1/9*u**3 - 2/3*u**2 + 1/18*u**4 + k + 12*u. Factor j(p).
2*(p - 1)*(p + 2)/3
Let u = -11850/53 + 349593/371. Let r = 721 - u. Solve -2 - r*s - 2/7*s**2 = 0.
-7, -1
Let z be (2/(-4) - (10 + (-10 - 1)))/1. What is k in -1 - k**3 - k**4 + 1/2*k**5 + 2*k**2 + z*k = 0?
-1, 1, 2
Factor -2484/11*r - 2/11*r**2 - 771282/11.
-2*(r + 621)**2/11
Let x = -19888 - -318229/16. Let d(v) be the first derivative of 0*v - 1/2*v**3 + 0*v**2 + 24 + 1/4*v**6 + x*v**4 - 21/20*v**5. Find f, given that d(f) = 0.
0, 1/2, 1, 2
Let r(c) be the first derivative of -33*c**4/4 - 684*c**3 + 1707*c**2/2 + 378*c - 1652. Factor r(z).
-3*(z - 1)*(z + 63)*(11*z + 2)
Let n be (2160/(-252))/((-1)/112). Factor 484 - 404*z + 24*z**2 - n*z - 177*z**2 - 107*z**2 - 12*z**3.
-4*(z + 11)**2*(3*z - 1)
Let n be (54 - 54)*(-76)/76. Suppose n + 0*s**2 - 192/5*s**4 + 0*s - 4/5*s**5 - 2304/5*s**3 = 0. What is s?
-24, 0
Let k(r) be the second derivative of -4*r**7/21 + 61*r**6/15 - 311*r**5/10 + 301*r**4/3 - 140*r**3 + 72*r**2 - 362*r + 2. Suppose k(o) = 0. Calculate o.
1/4, 1, 2, 6
Let q(h) = 2*h**2 + 5*h - 21. Let f be q(-5). Let w(d) = 3*d**2 - 12*d + 2. Let y be w(f). Factor 0 - 2/7*u**3 - 18/7*u - 12/7*u**y.
-2*u*(u + 3)**2/7
Let l be (16/(-48))/(4*-2 + (-2724)/(-360)). Factor 6/13*p**2 - l*p**3 + 18/13*p + 0 + 2/13*p**4.
2*p*(p - 3)**2*(p + 1)/13
Let c(t) be the first derivative of t**2 - 40*t - 15. Let v be c(23). Factor -a**2 - v*a**3 - 6*a**3 + 9*a**2 - 8*a**4.
-4*a**2*(a + 2)*(2*a - 1)
Let u(d) = -d**2 + 55*d + 289. Let m(l) = -l + 81. Let g(x) = 10*m(x) - 2*u(x). Let g(c) = 0. Calculate c.
2, 58
Let k(h) be the third derivative of -h**6/1620 - h**5/108 - h**4/27 + 8*h**3/3 + 60*h**2. Let j(v) be the first derivative of k(v). Factor j(t).
-2*(t + 1)*(t + 4)/9
Let j(q) be the first derivative of 5*q**6/3 + q**5 - 25*q**4 - 50*q**3/3 + 45*q**2 + 45*q + 63. Find i such that j(i) = 0.
-3, -1, -1/2, 1, 3
Factor 104*y**3 + 4130*y**4 + 200*y**3 - 4126*y**4.
4*y**3*(y + 76)
Suppose 196 - 88 = 14*j + 38. Let w(c) be the second derivative of 6*c - 6*c**2 + 0 - 4*c**3 - 1/4*c**4 + 9/20*c**j. Factor w(t).
3*(t - 2)*(t + 1)*(3*t + 2)
Let v(r) be the first derivative of -1/8*r**4 + 39 + 0*r**3 + 0*r**2 + 0*r. Factor v(z).
-z**3/2
Let p(h) = -9*h**2 + 8544*h - 10. Let r(q) = 5*q**2 - 4272*q + 6. Let z(j) = -3*p(j) - 5*r(j). Factor z(b).
2*b*(b - 2136)
Suppose 728/19*i**3 + 0 + 300/19*i**4 + 2*i**5 + 528/19*i**2 - 64/19*i = 0. What is i?
-4, -2, 0, 2/19
Let l be 16 - 14 - ((0 - 0) + 1). Suppose 3*q - 2 - 7 = -2*u, u = 4*q - l. Factor -2/13*v**5 + 0*v + 0 - 4/13*v**2 - 10/13*v**u - 8/13*v**4.
-2*v**2*(v + 1)**2*(v + 2)/13
Let b(j) be the third derivative of -j**6/60 + 97*j**5/15 - 800*j**4 + 6144*j**3 + 18*j**2 - 1. Factor b(d).
-2*(d - 96)**2*(d - 2)
Let q = -281683 - -281683. Factor -1/5*l**5 + 2/5*l**3 + q + 0*l**2 + 0*l - 1/5*l**4.
-l**3*(l - 1)*(l + 2)/5
Solve -19 + 39/2*g - 1/2*g**2 = 0.
1, 38
Let t(j) = 2*j**3 - 2*j**2 - 2*j - 6. Let r(p) = 28*p - 7*p + p**2 + 1 - 21*p. Let w(g) = 4*r(g) + t(g). Suppose w(u) = 0. What is u?
-1, 1
Let v(o) be the second derivative of -o**5/20 - 5*o**4 + 62*o**3/3 + 745*o. Factor v(t).
-t*(t - 2)*(t + 62)
Let q(o) = -3483 + 6*o + 1729 + 1628 + 2*o. Let y be q(16). Factor -80/9*j + 400/9 + 4/9*j**y.
4*(j - 10)**2/9
Let f = 1997173/312070 + 15/62414. Factor -64/5*d**3 - 96/5*d + f + 112/5*d**2 + 1