 - 6)*(g - 2)*(g - 1)/5
Let a be 19 + ((-4)/20 - 45/25). Factor a*b**4 + 62*b**3 - 74*b**3 + 12*b**2 - 14*b**4.
3*b**2*(b - 2)**2
Let k be (-6)/(-14)*26026/(-1716)*4/(-19). Let k*q + 2/19*q**2 + 24/19 = 0. Calculate q.
-12, -1
Let l(c) be the first derivative of 7*c**4/2 - 260*c**3 + 273*c**2 + 220*c - 984. Solve l(q) = 0 for q.
-2/7, 1, 55
Let j(t) be the third derivative of -t**7/735 + 41*t**6/420 + t**5/5 + 579*t**2. Factor j(r).
-2*r**2*(r - 42)*(r + 1)/7
Factor -6*u**4 + u**4 - 100*u**2 - 1215*u**3 + 576*u**3 + 599*u**3 - 80*u.
-5*u*(u + 2)**2*(u + 4)
Let w(a) = a**3 - 2*a - 1. Let g(x) = 625*x**5 + 3850*x**4 - 28*x**3 - 18826*x**2 - 2990*x - 113. Let u(n) = 2*g(n) + 14*w(n). Determine b so that u(b) = 0.
-5, -3, -2/25, 2
Let j(d) be the first derivative of d**4/24 + 11*d**3/6 + 10*d**2 + 58*d/3 + 5278. Determine c, given that j(c) = 0.
-29, -2
Suppose -50*s = -67*s + 238. Suppose 2*a = -2*m - 4, -5*m + s*a = 9*a - 40. Determine i, given that 0*i + 2/7*i**4 + 0 - 2/7*i**m + 0*i**2 = 0.
0, 1
Factor -689526 + 2034*c - 3/2*c**2.
-3*(c - 678)**2/2
Let q(k) be the third derivative of 0*k**3 + 2*k**2 - 11/60*k**5 + 62 + 0*k + 1/2*k**4 - 1/120*k**6. Let q(f) = 0. Calculate f.
-12, 0, 1
Factor 39 - 35*q + 38 - q**2 - 18 + 15.
-(q - 2)*(q + 37)
Let p(k) = 14*k**2 - 42*k + 112. Let x(i) = -18*i**2 + 45*i - 113. Let l(j) = 5*p(j) + 4*x(j). Factor l(q).
-2*(q - 3)*(q + 18)
Let w(v) be the third derivative of -v**6/480 - 61*v**5/120 + 247*v**4/96 - 31*v**3/6 + 14*v**2 - 64*v. Factor w(r).
-(r - 1)**2*(r + 124)/4
Suppose 6*s + 611 = 1859. Let m be 0 + (-26)/s + 110/112. Solve m*d + 0 - 2/7*d**2 = 0.
0, 3
Suppose y = 2*g + 13 + 9, -2*y = 5*g + 1. Let m(l) be the second derivative of 1/6*l**4 + 0*l**3 - y*l + 0*l**2 + 0 - 1/10*l**5. Factor m(b).
-2*b**2*(b - 1)
Determine q so that -1231/2*q**2 - 2463/8*q**3 + 1/4 - 2459/8*q = 0.
-1, 2/2463
Let z(a) = a**2 + a - 15. Let b be z(-5). Let r = 23 - b. Factor -r*x - 18*x**3 - 18*x - 21*x**4 + 39*x**2 + 12 + 24*x**4.
3*(x - 2)**2*(x - 1)**2
Determine i, given that -89 + 0*i**3 + 23*i**2 - 21 - 98 - 164*i + 2*i**3 + 23*i**2 = 0.
-26, -1, 4
Let d be (-7)/(-4 + 76/20). Let c = 43 - d. Factor -8*g - 3*g + g**3 + 2 + c*g.
(g - 1)**2*(g + 2)
Suppose -4*n - 12 = -7*n. Suppose 0 = i - 3*y - 18, 0*y - 17 = -n*i + y. Solve 3*f + 7*f**2 - 3*f**2 + 12*f**i - 7*f + 4*f**2 = 0 for f.
-1, 0, 1/3
What is x in -1/5*x**2 + 84/5 - 8/5*x = 0?
-14, 6
Let c(p) = -p - 3. Let j be c(-5). Suppose 90 = l + j*l. Factor l*o**3 + 0*o**2 - 2*o**2 - 16*o - 20*o + 12*o + 8.
2*(o + 1)*(3*o - 2)*(5*o - 2)
Let k = 27 - 21. Let x(q) = -q**2 + 7*q. Let j be x(k). Suppose 10 - 44*d + 96*d**2 - j*d**5 - 104*d**3 - 2 - 6*d**5 - 78*d**4 + 134*d**4 = 0. What is d?
2/3, 1
Find f such that -2/17*f**3 - 880/17*f + 872/17 + 226/17*f**2 = 0.
2, 109
Let o(t) be the second derivative of -t**6/150 + 63*t**5/100 + t**4/20 - 191*t**3/30 + 63*t**2/5 - 1717*t. Suppose o(q) = 0. Calculate q.
-2, 1, 63
Factor 0 + 0*l + 38*l**2 - 6/5*l**4 - 184/5*l**3.
-2*l**2*(l - 1)*(3*l + 95)/5
Let h(w) be the third derivative of -w**8/84 - 8*w**7/105 + w**6/10 + 34*w**5/15 + 26*w**4/3 + 16*w**3 - 128*w**2 - 1. Determine s, given that h(s) = 0.
-2, -1, 3
Suppose 15*p = -2*p + 4301. Let n be (-6)/15 + (p/495 - -1). Factor -2/9*c**2 - n*c + 0.
-2*c*(c + 5)/9
Let v be 2914/(-18941) + ((-22)/65)/(28/(-580)). Suppose -2/7*c**4 + 8*c + 12/7*c**2 + v - 6/7*c**3 = 0. Calculate c.
-2, 3
Factor -3349*p**3 - 10082*p**3 + 151431*p**2 - 60492*p - 92643*p**2 - 414*p**4 - 3*p**5.
-3*p*(p - 2)**2*(p + 71)**2
Let p(v) be the first derivative of -5*v**4/4 - 275*v**3/3 + 590*v**2 - 2549. Let p(i) = 0. What is i?
-59, 0, 4
Let u(j) be the first derivative of -100/9*j**3 - 385/6*j**2 + 90 + 1210/3*j - 5/12*j**4. What is z in u(z) = 0?
-11, 2
Suppose -226*r + 225*r - 5 = 0, 13 = k - 2*r. Let a(j) be the first derivative of -j**2 + 2*j**k + 1 + 1/2*j**4 - 2/5*j**5 - 4*j. Factor a(b).
-2*(b - 2)*(b - 1)*(b + 1)**2
Let n(m) be the second derivative of 0*m**4 + 0 + 0*m**2 - 1/24*m**3 + 1/80*m**5 - 64*m. Let n(y) = 0. What is y?
-1, 0, 1
Let 702*z + 547*z + 467*z + 3*z**2 - 1950*z + 621*z = 0. What is z?
-129, 0
Let n = 97220 + -1652642/17. Find w such that 2/17*w**2 + 100/17*w + n = 0.
-49, -1
Let n(a) = -4*a**2 - 17*a. Let d = 67 - 65. Let t(j) = 37*j - 45*j - 2*j**2 - d + 2. Let h(i) = 6*n(i) - 13*t(i). Factor h(v).
2*v*(v + 1)
Let x(u) be the first derivative of -u**4/2 + 30*u**3 - 243*u**2 - 13122*u - 1941. Suppose x(c) = 0. Calculate c.
-9, 27
Let u = 200 - 198. Find f such that 280*f**u - 280*f**2 + 5*f**5 - 5*f**4 + 2 - 2 = 0.
0, 1
Let h be (-26850)/1253*28/(-54). Solve 0 + 4/9*g**5 + h*g**3 + 12*g**2 + 4*g**4 + 40/9*g = 0 for g.
-5, -2, -1, 0
Let h be (1 - -2) + (2 - (4 - 4)). Suppose 2*b = -3*f + 49, h*f = 2*b - 0*b - 25. Factor -b - 10*w - 6*w**2 + 13*w - 22*w - 15*w.
-2*(w + 5)*(3*w + 2)
Suppose 170 = 33*r + 104. Let i(y) be the first derivative of 0*y - r*y**2 + 17 - 4/3*y**3. Factor i(u).
-4*u*(u + 1)
Let c(x) be the third derivative of 95*x**7/56 + 119*x**6/32 - 51*x**5/20 - 61*x**4/8 + 10*x**3 + 911*x**2. Suppose c(h) = 0. Calculate h.
-20/19, -1, 2/5
Let w = -26774 - -26777. Let p(t) be the second derivative of -40*t + 0 - 9/20*t**5 + 0*t**w + 0*t**2 - 1/4*t**4 - 1/5*t**6. Determine v so that p(v) = 0.
-1, -1/2, 0
Suppose -2*i - 2*t + 10 - 12 = 0, 4*i = 4*t + 4. Suppose i = -4*s + 9*s - 5*q - 25, q + 5 = -s. Factor -8/9*k + 0 + s*k**2 + 2/9*k**4 + 2/3*k**3.
2*k*(k - 1)*(k + 2)**2/9
Let c(g) = -g**3 + 15*g**2 - 21*g + 91. Let p be c(14). Let h be (18 - -1)*p/(-35) - 3. What is n in -4*n**2 + h*n**4 + 16/5 - 12/5*n**3 + 12/5*n = 0?
-1, 1, 4
Let q(u) be the second derivative of -u**7/42 + 2*u**6/15 + 3*u**5/10 - 8*u**4/3 + 35*u**3/6 - 6*u**2 + 996*u. Let q(a) = 0. Calculate a.
-3, 1, 4
Let d(s) = -s + 15. Let v(g) = g**2 + 2823*g + 1993759. Let c(w) = 3*d(w) - 3*v(w). Factor c(r).
-3*(r + 1412)**2
Let a = -634792 - -3173962/5. What is y in -3/5*y - a + 1/5*y**3 + 0*y**2 = 0?
-1, 2
Let p = 52903706 - 208176080759/3935. Let x = p - -2/787. Suppose 3/5*d - x*d**2 - 1/5 + 1/5*d**3 = 0. Calculate d.
1
Suppose 9438*d - 4719*d - 4717*d = 0. Determine s, given that -2/5*s**3 + d*s**4 + 0 + 0*s**2 + 2/5*s**5 + 0*s = 0.
-1, 0, 1
Factor -48*v**3 - 312*v + v**4 + 18257 - 236*v**2 + 3*v**4 - 18385.
4*(v - 16)*(v + 1)**2*(v + 2)
Let p(w) = -2*w + 8. Let x be p(3). Factor -34 + 16*b**2 + 14*b**x - 6 - 2*b**4 + 8*b + 4*b**3.
-2*(b - 5)*(b - 1)*(b + 2)**2
Suppose 0 = -2*q + 22 + 2. Let b = 1758 + -1755. Factor x**2 + 4*x + 4*x + b*x**2 - q.
4*(x - 1)*(x + 3)
Let n(h) be the second derivative of -h**7/1890 + h**3/6 + 2*h**2 - 143*h. Let q(t) be the second derivative of n(t). What is o in q(o) = 0?
0
Let d = -110 - -113. Suppose -d*p = p - 8. Factor 3*f - 73 - 67 + 5*f**p - 13*f + 100.
5*(f - 4)*(f + 2)
Let i(z) be the second derivative of z**6/30 - 41*z**5/20 - 91*z**4/4 - 419*z**3/6 - 94*z**2 - 440*z. Find m such that i(m) = 0.
-4, -1, 47
Let r(p) be the second derivative of -3*p**5/80 + 35*p**4/4 - 139*p**3/8 + 3194*p. Factor r(v).
-3*v*(v - 139)*(v - 1)/4
Let r(k) be the third derivative of k**5/720 + 113*k**4/288 + 14*k**3/9 + 590*k**2. Factor r(b).
(b + 1)*(b + 112)/12
Let d(z) be the third derivative of -z**5/45 - 19*z**4/18 - 68*z**3/9 - 4*z**2 + 4. Suppose d(m) = 0. What is m?
-17, -2
Solve -3334*c**2 - 46*c + 1899 - 554*c + 3331*c**2 - 72 = 0.
-203, 3
Let f(a) be the second derivative of -242/65*a**5 + 0*a**3 + 0*a**2 - 1/273*a**7 + 0*a**4 + 3*a + 5 + 44/195*a**6. Factor f(j).
-2*j**3*(j - 22)**2/13
Let p(g) be the third derivative of -g**5/150 - 7*g**4/6 - 136*g**3/15 - 5418*g**2. Factor p(t).
-2*(t + 2)*(t + 68)/5
Factor -1/2*w**2 - 225/2*w + 812.
-(w - 7)*(w + 232)/2
Let l(v) be the second derivative of v**4/16 - 635*v**3/4 + 1209675*v**2/8 - 1032*v. Factor l(h).
3*(h - 635)**2/4
Let 94/13*z**4 - 378/13*z**3 + 50/13*z**2 + 0 + 228/13*z + 6/13*z**5 = 0. What is z?
-19, -2/3, 0, 1, 3
Let b(z) = -2*z**3 - 8484*z**2 - 14134*z - 5656. Let n(t) = 3*t**3 + 16967*t**2 + 28268*t + 11313. Let m(f) = -9*b(f) - 4*n(f). Find c, given that m(c) = 0.
-1413, -1, -2/3
Let b = -3428 - -20569/6. Factor 0*i + b*i**5 + 1/3*i**4 + 0 + 0*i**2 + 0*i**3.
i**4*(i + 2)/6
Suppose -287*d + 298*d - 55 = 0. Suppose 0 + 32/7*