4*y = 5*o - 14. Factor -36*j - 61*j**o + 65*j**2 + 0*j.
4*j*(j - 9)
Let h be (11 - 10)*(-8)/5*40/(-16). Let j(x) be the second derivative of 3*x - 2/15*x**3 - 1/5*x**2 + 0 - 1/30*x**h. Find a such that j(a) = 0.
-1
Let s(q) = 21*q + 518. Let v be s(-24). Suppose -c - 5 = -4*y, -v = -3*c + c - 4*y. Suppose 9/5*r - 6/5*r**c + 9/5*r**2 - 6/5 = 0. Calculate r.
-1, 1/2, 2
Let f(t) be the second derivative of 3*t**7/49 - 59*t**6/210 - 17*t**5/35 + 17*t**4/28 + 25*t**3/21 + 4*t**2/7 - 7*t + 1. Determine q so that f(q) = 0.
-1, -1/2, -2/9, 1, 4
Find u, given that 0*u**2 - 317*u + 5*u**2 - 5*u**2 + 41*u - 4*u**2 = 0.
-69, 0
Suppose 4764 = -82*x - 7044. Let r be (-56)/x*(9 + 41). Suppose 4 - 44/3*h + 29/9*h**4 - 1/3*h**5 + r*h**2 - 35/3*h**3 = 0. Calculate h.
2/3, 1, 2, 3
Suppose 302*a**2 - 276*a**3 - 119*a**2 - 37*a**3 - 5*a**5 + 140*a**4 + 2535*a + 1117*a**2 - 777*a**3 = 0. Calculate a.
-1, 0, 3, 13
Factor 3/5*a**3 - 18 - 96/5*a**2 + 183/5*a.
3*(a - 30)*(a - 1)**2/5
Find g such that -108/5*g - 96 + 3/5*g**2 = 0.
-4, 40
Let v(k) be the third derivative of -1/2*k**3 + 0*k + 1/100*k**5 + 1/10*k**4 - 71*k**2 + 0. Solve v(r) = 0 for r.
-5, 1
Suppose 45*h = 49*h - 16. Let k**h + 0*k**4 - 15*k**2 - 1 + 13*k**3 + 5*k - 5*k**4 + 2*k = 0. Calculate k.
1/4, 1
Factor 416/5*c + 28/5*c**2 + 336/5.
4*(c + 14)*(7*c + 6)/5
Let y be (600/(-425))/(11/(-22)). Factor 24/17*b**3 + 70/17*b**2 + 2/17*b**4 + 0 + y*b.
2*b*(b + 1)*(b + 3)*(b + 8)/17
Suppose -36 = -88*f + 76*f. Let n(d) be the first derivative of 5*d**3 + 5 + f*d**5 + 0*d**2 - 25/2*d**4 + 0*d. Let n(u) = 0. What is u?
0, 1/3, 3
Suppose -4*a - 3*b + 63 = 0, 4*b = -a - 2*a + 42. Suppose 0 = 4*j + a - 66. Let 4*t**3 - j*t**2 - 9 + 9 = 0. What is t?
0, 3
Let x(o) be the third derivative of -8/21*o**4 + 0*o + 32/21*o**3 + 90*o**2 + 4/105*o**6 + 0 - 8/35*o**5 + 1/196*o**8 + 26/735*o**7. Solve x(a) = 0 for a.
-2, 2/3, 1
Let f(o) = -o**2 + 1065*o - 819. Let r(u) = u**2 - 49*u - 1. Let j(y) = f(y) + 5*r(y). Determine g so that j(g) = 0.
-206, 1
Let f(w) be the first derivative of -w**6/7 + 8*w**5/7 - 160*w**3/21 + 48*w**2/7 + 1616. Solve f(t) = 0 for t.
-2, 0, 2/3, 2, 6
Solve 63/5*j**4 - 3/5*j**5 - 972/5 + 909/5*j**2 + 432/5*j - 429/5*j**3 = 0.
-1, 1, 6, 9
Let y(d) be the third derivative of -11*d + 1/54*d**4 - 1/270*d**5 - 4*d**2 + 1/9*d**3 + 0. Determine j, given that y(j) = 0.
-1, 3
Let r(d) be the first derivative of -d**6/5 - 57*d**5/40 - 19*d**4/8 + 3*d**3/2 - 127*d + 11. Let q(o) be the first derivative of r(o). Solve q(l) = 0.
-3, -2, 0, 1/4
Find u, given that -2/9*u**4 - 10/9*u - 22/9*u**2 - 14/9*u**3 + 0 = 0.
-5, -1, 0
Factor -20/7*b**2 + 752/7*b + 304/7.
-4*(b - 38)*(5*b + 2)/7
Determine d so that 128/7*d**3 + 1026/7*d + 540/7 - 2/7*d**5 + 612/7*d**2 + 0*d**4 = 0.
-3, -1, 10
Let d(l) = l**4 + l**3 - l**2 - 1. Let x = -367 - -366. Let t(r) = -2*r**4 - 11*r**3 + 6*r**2 + 3*r + 4. Let n(o) = x*t(o) - 4*d(o). Factor n(j).
-j*(j - 3)*(j - 1)*(2*j + 1)
Let r(h) be the third derivative of h**7/630 - h**6/36 - 55*h**5/36 + 125*h**4/6 + 1250*h**3 + 69*h**2. Find i, given that r(i) = 0.
-10, 15
Let g = 219 - 216. Factor -11 - 24*m**g + 46*m**3 + 11*m**2 + m - 23*m**3.
-(m - 11)*(m - 1)*(m + 1)
Let u(k) be the second derivative of -k**6/20 - 33*k**5/40 - 19*k**4/4 - 10*k**3 - 2*k + 285. Determine g, given that u(g) = 0.
-5, -4, -2, 0
Let b(l) = l**3 - 10*l**2 - 52*l + 44. Let q be b(14). Solve q*u**2 - 42*u - 13*u + 95*u**3 + 20*u**5 + 10*u**3 - 30 - 140*u**4 = 0.
-1/2, 1, 6
Let a(i) be the second derivative of -5/6*i**4 - 8 + 5/2*i**3 + 4*i + 5*i**2. Let a(q) = 0. What is q?
-1/2, 2
Solve -17 + 152*f - 2*f**3 + 13 - 37 - 46*f**2 + 5 - 68 = 0 for f.
-26, 1, 2
Factor -422/11*a - 2/11*a**2 + 424/11.
-2*(a - 1)*(a + 212)/11
Let a be ((-21)/9 - -2)*0. Factor 3*d**4 - 4*d**4 - 3*d**2 + 4*d**4 + a*d**2.
3*d**2*(d - 1)*(d + 1)
Find r, given that 1413299 + 313064 + 831959 + 2*r**2 - 4524*r = 0.
1131
Let k(y) = -300*y**3 + 88*y**2 + 36576*y + 382944. Let n(a) = -28*a**3 + 8*a**2 + 3325*a + 34813. Let d(i) = 3*k(i) - 32*n(i). Factor d(u).
-4*(u - 34)*(u + 16)**2
Let q be (9/2 + 1)/(4/8). Let u(t) = -t**3 + 11*t**2 + 8. Let y be u(q). Suppose 9*k + 1 - y - 2 + 3*k**2 - 3*k = 0. What is k?
-3, 1
Let v(o) be the third derivative of o**6/120 - o**5/3 + 3*o**4/2 - 49*o**2 - 3. Factor v(m).
m*(m - 18)*(m - 2)
Let k(o) be the first derivative of o**5/25 - 93*o**4/10 + 7873*o**3/15 + 36084*o**2/5 + 150544*o/5 - 2439. Factor k(y).
(y - 97)**2*(y + 4)**2/5
Suppose -3 + 27 = 5*a - 4*n, -88 = 4*n - 64. Factor 2/3*i + a - 5/6*i**2 + 1/6*i**3.
i*(i - 4)*(i - 1)/6
Suppose -2597 = 2*m - 9*m. Factor -59*f**2 + m*f**2 + 6084*f + 13*f**3 - 9*f**3.
4*f*(f + 39)**2
Let b(l) = -l**2 + 2*l + 1. Let v(a) = 2*a**3 + 8*a**2 - 20*a - 14. Let u(s) = 6*b(s) + v(s). Factor u(r).
2*(r - 2)*(r + 1)*(r + 2)
Find c, given that -829/3*c - 92 - c**2 = 0.
-276, -1/3
Factor -4476*k**2 - 1096 - 321*k - 259*k - 103*k - 4*k**3 + 143*k + 5028*k**2.
-4*(k - 137)*(k - 2)*(k + 1)
Suppose 0*p + 82 = 2*p + 3*b, -3*p + b = -145. Suppose 47 - 30*v - 4*v**2 + 26*v - p = 0. What is v?
-1, 0
Let b = -1133 - -1169. Suppose 112*t = b*t + 380. Factor -4*q**4 - 17*q**2 - 3 + 1/2*q**t + 12*q**3 + 23/2*q.
(q - 3)*(q - 2)*(q - 1)**3/2
Let q(c) = c**3 + c**2 + c. Let s(g) = -4*g**2 - 16*g - 8. Suppose -3*z = -o + 10, 0 = -4*z - z - o - 22. Let b(u) = z*q(u) - s(u). Factor b(l).
-4*(l - 2)*(l + 1)**2
Suppose 9*w - 4*q = 12*w - 20, 4*w + 5 = q. Let f be (292/(-28) - -10)*(w - 7). Factor -9/5*y**2 + 0 + 12/5*y**f - 3/5*y.
3*y*(y - 1)*(4*y + 1)/5
Factor -1/3*u**3 + 239/3*u**2 + 940/3 - 944/3*u.
-(u - 235)*(u - 2)**2/3
Let c(z) = 31921*z + 319215. Let n be c(-10). Suppose -n*d - 15/4*d**2 + 0 + 5/4*d**3 = 0. Calculate d.
-1, 0, 4
Let z = 21583 + -21578. Determine r so that -1/2*r**z + 0*r - 3/4*r**4 - 1/4 + r**2 + 1/2*r**3 = 0.
-1, 1/2, 1
Let h(d) be the second derivative of 3*d**6/200 + 29*d**5/100 + 3*d**4/2 + 14*d**3/5 + 101*d**2/2 - 55*d. Let g(n) be the first derivative of h(n). Factor g(z).
3*(z + 2)*(z + 7)*(3*z + 2)/5
Let i(y) be the third derivative of -y**5/160 - 155*y**4/64 - 109*y**2 - 2. Factor i(c).
-3*c*(c + 155)/8
Suppose -m - 4*m - 3*g = -1670, 1002 = 3*m + 4*g. Suppose -3*z**3 + m*z**2 - 364*z**2 + 12*z**4 - 3 + 27 + 12*z - 3*z**5 = 0. Calculate z.
-1, 2
Let j = -77 - -122. Suppose 3*a - 50 = 2*y - 8, -3*a + j = -y. Find l, given that 17*l**2 + 177*l**3 - 165*l**3 - a*l - l**2 = 0.
-2, 0, 2/3
Let w = 13 - -3. Let k = w + -13. Factor -t - 48 - k*t**2 + 19*t + 6*t.
-3*(t - 4)**2
Let d(n) be the second derivative of 7/38*n**4 - 6/95*n**5 + 1/285*n**6 + 0 - 10/57*n**3 + 0*n**2 - 151*n. Suppose d(r) = 0. Calculate r.
0, 1, 10
Factor 0 + 0*z**4 + 8/17*z**3 - 2/17*z**5 + 0*z**2 + 0*z.
-2*z**3*(z - 2)*(z + 2)/17
Let t(g) be the third derivative of g**7/1470 - 3*g**6/70 - 5*g**5/28 - 19*g**4/84 + 4366*g**2. Factor t(n).
n*(n - 38)*(n + 1)**2/7
Let h(b) = 2*b**3 - 1972*b**2 - 645508*b - 70575124. Let k(j) = 3*j**3 - 1973*j**2 - 645509*j - 70575129. Let i(v) = -5*h(v) + 4*k(v). Factor i(y).
2*(y + 328)**3
Suppose -20*q + 76*q - 456 = -172*q. Find m, given that -2 + q*m**2 - 1/2*m + 1/2*m**3 = 0.
-4, -1, 1
Let m = 1765623/5 - 353124. Factor 0*y + 0 - 12*y**3 - m*y**4 - 60*y**2.
-3*y**2*(y + 10)**2/5
Let k be -1 + 6 + (-3)/1. Let h = 310 - 307. Factor -h - 1/2*m**k + 5/2*m.
-(m - 3)*(m - 2)/2
Let 8*u**3 - 15*u**2 + 3*u**5 - 22*u**5 - 73*u**3 - 51*u**4 + 4*u**5 - 14*u**4 = 0. Calculate u.
-3, -1, -1/3, 0
Let s = 564775 + -564773. Factor 16/7*b**3 + 64/7 + 2/7*b**5 + 32/7*b**s - 12/7*b**4 - 96/7*b.
2*(b - 2)**4*(b + 2)/7
Determine o so that -o**4 + 106*o**4 + 14523*o**3 - 14253*o**3 + 5*o**5 = 0.
-18, -3, 0
Let p(n) = -17*n**3 - 377*n**2 - 3238*n + 20009. Let q(g) = -9*g**3 - 189*g**2 - 1610*g + 10005. Let j(h) = 5*p(h) - 9*q(h). Factor j(s).
-4*(s - 4)*(s + 25)**2
Let r be (-80)/76*(-1482)/1404. Determine j so that 2/3*j**2 + r*j + 4/9 = 0.
-1, -2/3
Let s(b) be the second derivative of 0*b**4 + 0*b**3 + 7/180*b**6 + 0*b**2 - 1/20*b**5 + 0 - 1/252*b**7 + 32*b. Suppose s(n) = 0. Calculate n.
0, 1, 6
Let f(t) be the second derivative of -t**3/3 + 7*t**2/2 + 8*t. Let c be f(0). Determine k so that 9*k - 2*k - c*k + 5*k**2 = 0.
0
Let j(r) be the third derivative of r**6/60 + 497*r**5/30 + 1