r?
1
Let i be ((-75)/6)/(-5)*((-3162)/279)/(-17). Solve -80/3 + i*r**3 - 70/3*r**2 - 155/3*r = 0 for r.
-1, 16
Let j = 764583073663/4432454292 - 59/82592316. Let h = 5/1449 + j. Determine x, given that 399/2*x**2 + h*x**4 - 561/2*x**3 + 6 - 75/2*x**5 - 60*x = 0.
1/5, 2/5, 1, 2
Let k(o) be the third derivative of -o**8/840 + o**7/75 - o**6/20 + 13*o**5/150 - o**4/15 + 2*o**2 + 15. Solve k(j) = 0.
0, 1, 4
Let j = -12 + 53. Suppose 15*m - 55*m**3 + 65*m**2 - 30 - 35*m**4 - m + j*m = 0. What is m?
-2, -1, 3/7, 1
What is k in 1411344 - 877*k**2 + 406*k**2 + 4752*k + 475*k**2 = 0?
-594
Let y(w) be the first derivative of -26/3*w**3 - 110/3*w**2 - 1/15*w**5 + 5/3*w**4 - 121/3*w - 27. Let y(z) = 0. Calculate z.
-1, 11
Let d be (-10)/((-40)/(-54))*88/(-396). Factor 2/5 - 2/5*h**2 - 2/5*h + 2/5*h**d.
2*(h - 1)**2*(h + 1)/5
Let n be (3096/(-294))/(32/(-112)). Let b = n + -257/7. Factor b*a**2 + 3/7*a + 2/7.
(a + 1)*(a + 2)/7
Let x(l) be the second derivative of l**4/15 + 1032*l**3/5 + 1198152*l**2/5 - 4*l - 10. Factor x(z).
4*(z + 774)**2/5
Let k = -272345/3 + 90785. Factor -4/3*d + 0 + 14/3*d**3 + k*d**2.
2*d*(d + 1)*(7*d - 2)/3
Let k(n) be the third derivative of 0*n - 213*n**2 + 0*n**5 + 1/15*n**6 - 6/35*n**7 + 2 + 1/21*n**8 + 0*n**4 + 0*n**3. What is x in k(x) = 0?
0, 1/4, 2
Let q be 567*2*(-12)/18. Let z be q/(-16) + 0 - 5. Factor 13/2*t - 1/4*t**2 - z.
-(t - 13)**2/4
Let n(b) be the first derivative of b**4 - 56*b**3/3 + 88*b**2 - 160*b + 1623. Suppose n(s) = 0. What is s?
2, 10
Let v be ((-1)/(-4)*-3)/((-23)/11776). Let -21*g - 127 + v + 3*g**2 - 109 - 118 = 0. Calculate g.
2, 5
Let y(f) be the first derivative of 0*f**2 - 1/20*f**5 + 0*f - 1/4*f**4 + 14/3*f**3 - 1/240*f**6 + 11. Let l(m) be the third derivative of y(m). Factor l(i).
-3*(i + 2)**2/2
What is u in -4394000 - 2*u**4 + 0*u**4 - 4495400*u + 2326*u**3 - 102180*u**2 - 3108*u**3 = 0?
-130, -1
Suppose 327 = 4*l - d, -4*d - d = -4*l + 307. Let w = -81 + l. Factor h**4 - 50 - h**4 + 35*h**w + 5*h + 11*h**3 + h**4 - 2*h**2.
(h - 1)*(h + 2)*(h + 5)**2
Let t be (-4)/((-4)/(-3)) + 99. Suppose 77*h = 85*h - t. Factor h*m**4 + 32*m + 2*m**5 - 48*m**2 - 10*m**3 + m**3 + 11*m**3.
2*m*(m - 1)**2*(m + 4)**2
Let v(d) = -90*d**2 + 30*d + 95. Let h(b) be the third derivative of -b**5/4 + 5*b**4/24 + 8*b**3/3 - 21*b**2. Let z(y) = -25*h(y) + 4*v(y). Factor z(g).
5*(g + 1)*(3*g - 4)
Let h(u) be the first derivative of 841*u**4/2 + 14906*u**3/3 - 1040*u**2 + 72*u - 1886. Find q such that h(q) = 0.
-9, 2/29
Let r(m) be the second derivative of -5/12*m**4 - 26*m + 15/2*m**2 - 5/3*m**3 + 0. Factor r(l).
-5*(l - 1)*(l + 3)
Let f be ((-522)/(-1218))/((-60)/(-14)). Let g(m) be the second derivative of 3/10*m**5 - 3/4*m**4 + 6*m**2 - 4*m + f*m**6 - 2*m**3 + 0. Factor g(j).
3*(j - 1)**2*(j + 2)**2
Let h be 9/(-3) - (-44)/((-10560)/(-4368)). Factor -4/5*d**4 + h*d + 56/5*d**3 - 104/5*d**2 - 4 - 4/5*d**5.
-4*(d - 1)**4*(d + 5)/5
Let u(v) = -68*v**2 - 592*v - 3032. Let j(m) = -25*m**2 - 198*m - 1011. Let l(b) = 8*j(b) - 3*u(b). Factor l(q).
4*(q + 6)*(q + 42)
Determine i so that 14*i**4 + 100/7*i - 888/7*i**3 + 90*i**2 + 60/7*i**5 + 0 = 0.
-5, -2/15, 0, 1, 5/2
Let q = -1150/3 + 7354/21. Let f = q - -34. Factor 2/7*y**3 - f - 2/7*y**2 - 10/7*y.
2*(y - 3)*(y + 1)**2/7
Suppose 0 - 91/4*l + 1/4*l**2 = 0. Calculate l.
0, 91
Let s = 63 + -41. Solve -3*c**3 - 9*c + s*c - 6*c + 3 - 7*c**2 = 0 for c.
-3, -1/3, 1
Factor 8/7 + 32/7*q + 10/7*q**2 - 2*q**3.
-2*(q - 2)*(q + 1)*(7*q + 2)/7
Let p(i) be the first derivative of 3/5*i**5 - 176 + 3/4*i**4 + 0*i - 3/2*i**2 - i**3. Factor p(o).
3*o*(o - 1)*(o + 1)**2
Let q(c) be the second derivative of -1/160*c**5 + 9/8*c**2 - 29/48*c**3 + 59*c + 1/8*c**4 + 0. What is u in q(u) = 0?
1, 2, 9
Let n be (-1 - 1/3)/((-20)/45). Factor -6*o**3 - n*o**2 - 16*o**4 + 9*o + 9*o - 12 + 2*o + 17*o**4.
(o - 6)*(o - 1)**2*(o + 2)
Let u(a) be the second derivative of a**5/10 + 155*a**4/2 + 24025*a**3 + 3723875*a**2 - 4573*a. Factor u(y).
2*(y + 155)**3
Let n(b) be the first derivative of -b**6/39 - 46*b**5/65 + 67*b**4/13 + 5380*b**3/39 - 22325*b**2/13 + 90250*b/13 + 2059. Find o, given that n(o) = 0.
-19, 5
Factor -4169*m**3 + 3425*m**3 - 130*m**4 - 618*m**4 - 4*m**5.
-4*m**3*(m + 1)*(m + 186)
Solve 72*v + 0 - 3*v**2 - 18*v**3 + 3/4*v**4 = 0 for v.
-2, 0, 2, 24
Let x(s) = -2*s**2 - 4*s**3 + s**2 + 5*s**3 + 2*s**2 - 7*s. Let f be x(-3). Factor -y**4 - 19*y**2 + f*y**4 + 36*y + 18*y**3 - 20*y**2 - 12 - 5*y**4.
-3*(y - 2)**2*(y - 1)**2
Let r be (4/(-12))/((-2)/6)*5. Suppose -4*j = -j + 4*o - 13, r*j - 5*o - 10 = 0. Factor -11/3*x**2 - 8*x + 12 - 1/3*x**j.
-(x - 1)*(x + 6)**2/3
Let f(n) = 14*n - 146. Let k be f(10). Let z be k/(-4) - (-8)/((-16)/(-1)). Solve -1/3 - 1/6*b**z - 1/2*b = 0 for b.
-2, -1
Let p(r) be the first derivative of 26*r**5/3 + 655*r**4/12 - 55*r**3 - 1310*r**2/3 - 100*r/3 + 2553. Suppose p(i) = 0. What is i?
-5, -2, -1/26, 2
Solve -562/23*j**2 - 2/23*j**3 + 2272/23*j - 2280/23 = 0 for j.
-285, 2
Let w = -2331 - -2336. Let i(b) be the first derivative of 10/3*b**3 + 0*b + 8*b**4 + 18/5*b**w + 3 - 2*b**2. Solve i(x) = 0.
-1, 0, 2/9
Let k = -119558689/45 - -2657007. Let f = 754/5 - k. Find s, given that -f - 10/9*s**4 - 128/9*s - 64/9*s**3 - 16*s**2 = 0.
-2, -2/5
Suppose -10*u = -4*u - 48. Suppose 0 = 3*n + n - u. Factor -14 - 254*y**2 + 257*y**n + 3*y**3 + 2 - 12*y.
3*(y - 2)*(y + 1)*(y + 2)
Let d(r) be the third derivative of r**5/15 - 23*r**4/6 - 52*r**3 + 2*r**2 + 274*r. Solve d(b) = 0.
-3, 26
Let x(q) = -3*q**2 + 1498*q + 1511. Let m(k) = -2*k**2 + 1500*k + 1510. Let z(n) = -5*m(n) + 4*x(n). Determine h, given that z(h) = 0.
-753, -1
Find w such that -18*w**3 + 29*w**3 - 148*w**2 - 9*w**3 = 0.
0, 74
Let y(w) be the second derivative of -w**5/750 + 11*w**4/150 - 46*w**2 - 3*w - 1. Let i(v) be the first derivative of y(v). Suppose i(j) = 0. Calculate j.
0, 22
Let n(u) = 2*u + u - 6*u + 2*u**2 + 4*u**3 + 4 - 2*u. Let t be n(1). Determine p, given that -t*p**2 - 10*p**3 + 3209 - 5*p**4 - 3209 = 0.
-1, 0
Factor -3/7*f**3 - 580644/7*f - 49161192/7 - 2286/7*f**2.
-3*(f + 254)**3/7
Let l(i) be the first derivative of i**7/280 - i**6/60 - i**5/16 - i**4/24 - 3*i**2/2 + 51. Let r(f) be the second derivative of l(f). Factor r(o).
o*(o - 4)*(o + 1)*(3*o + 1)/4
Suppose -3399742 + 763*g + 2797566 + 789*g - g**2 = 0. Calculate g.
776
Let c be 4/9*-3*(-3)/2. Factor -8*d + 4*d**2 + d**2 - c*d**2 - 10*d.
3*d*(d - 6)
Let f(y) be the second derivative of 1/30*y**6 + 15/2*y**4 - 108*y**2 + 0 - 70*y - 17/20*y**5 - 18*y**3. Factor f(z).
(z - 6)**3*(z + 1)
Let s = 32925/131204 + -31/32801. Let s*r**5 + 11/4*r**4 + 41/4*r**3 + 49/4*r**2 - 15/2*r - 18 = 0. What is r?
-4, -3, -2, 1
Let a(u) be the second derivative of -7/16*u**3 - 3/160*u**5 - 9/16*u**2 + 35*u - 5/32*u**4 + 0. Let a(i) = 0. Calculate i.
-3, -1
Factor 260*c**2 + 15*c**3 - 3*c**3 + 822074 - 821290 + 1344*c.
4*(c + 7)*(c + 14)*(3*c + 2)
Factor -258*a**4 + 6 + 2 - a**2 + 14*a - 16*a**3 - 3*a**2 - a**5 + 254*a**4 + 3*a**5.
2*(a - 4)*(a - 1)*(a + 1)**3
Find w such that 4188*w**2 - 6690*w**2 + 5463*w**2 - 147*w**3 + 32400 - 18360*w = 0.
3, 60/7
Find f, given that 6379949205/4*f + 178605/2*f**3 + 945/4*f**4 + 1/4*f**5 + 241162079949/4 + 33756345/2*f**2 = 0.
-189
Let f(q) be the third derivative of -q**5/180 - 59*q**4/6 - 6962*q**3 + 3130*q**2. Factor f(o).
-(o + 354)**2/3
Let k(h) = -4*h**3 + h**2 - 2. Let u be k(1). Let z(a) = -3*a**2 - 13*a + 12. Let v be z(u). Suppose 8/5*t - v + 2/5*t**2 = 0. Calculate t.
-5, 1
Let c be ((-553)/(-155) - (-390)/12090)*(-25)/(-4). Factor -c*h**2 - 14*h**3 - 2 + 49/2*h**4 + 14*h.
(h - 1)*(h + 1)*(7*h - 2)**2/2
Find o such that -3632/3*o**2 + 0 + 5116/3*o**3 - 1456/3*o - 28/3*o**4 = 0.
-2/7, 0, 1, 182
Let r = 199/42 - 569/126. Determine k so that 52/9*k**2 + 0*k + 0 - r*k**3 = 0.
0, 26
Factor 7688/7*t - 2/7*t**2 - 7388168/7.
-2*(t - 1922)**2/7
Let -6*l**2 - 7572*l + 549 + 2537*l + 3940*l = 0. What is l?
-183, 1/2
Let d(h) be the second derivative of -h**5/180 - 31*h**4/108 + 53*h**3/27 + 68*h**2/9 + 20*h + 5. Determine f, given that d(f) = 0.
-34, -1, 4
Suppose -2*b + 8 = 0, 5*b = 32*y - 31*y + 12. Solve o**4 - 52*o**3 - y - 2*o**2 + 3*o + 105*o**3 - 56*o**3 + 9*o = 0.
-2, 1, 2
Let b = 1198 - 1198. Let j(d) be the 