n) be the second derivative of s(n). Factor v(h).
-(h - 2)*(h - 1)*(h + 3)/6
Suppose -13*l + 166 = -94. Suppose l*i - 8*i - 48 = 0. Factor -16/11*y**i - 56/11*y - 50/11*y**3 - 76/11*y**2 - 16/11 - 2/11*y**5.
-2*(y + 1)**2*(y + 2)**3/11
Suppose 0*f = 10*f + 120. Let h be (13 - 12)/((-1)/f). Factor -27*m + 9*m**2 - h - 9*m**2 - 6*m**2.
-3*(m + 4)*(2*m + 1)
Determine k, given that -1880/3*k**3 + 2/3*k**4 + 295160*k + 147894 + 439916/3*k**2 = 0.
-1, 471
Let l be 4*((-49)/(-196) + (-2)/(-4)) - -1. Let a(q) be the first derivative of -3/40*q**5 + 23 + 3/32*q**l + 1/8*q**3 - 3/16*q**2 + 0*q. Factor a(b).
-3*b*(b - 1)**2*(b + 1)/8
Let d(z) = -z**4 + z**3 + z**2 + z. Let v(n) = -6*n**3 - 4*n**2 - 2*n. Suppose -4*y + t = -t - 10, -3*y + 2*t + 8 = 0. Let m(f) = y*d(f) + v(f). Factor m(u).
-2*u**2*(u + 1)**2
Suppose -2100*b + 1033*b = -1033*b - 68. Solve -b - 20/9*d - 2/9*d**2 = 0.
-9, -1
Let s(j) be the first derivative of -6*j**2 + 13/3*j**3 + 25 + 0*j - 1/4*j**4. Factor s(c).
-c*(c - 12)*(c - 1)
Suppose -7 = -4*y - 27, 5*r + 4*y = 45. Suppose p - 4*x = 14, -3*x - r = p + 2*x. Find w such that 3*w**2 + 6 - 9*w**2 + p*w + w + 36*w**3 - 39*w**3 = 0.
-2, -1, 1
Let b(l) be the third derivative of 2197*l**7/2415 - 3211*l**6/1380 + 39*l**5/23 - 41*l**4/69 + 8*l**3/69 - 7*l**2 + 4. Factor b(u).
2*(u - 1)*(13*u - 2)**3/23
Let a(t) = 21*t + 217. Let k be a(-9). Suppose 39*m - 145 = -k. Find i such that 0 - 2/3*i**4 + 2/3*i**2 + 7/3*i**m - 7/3*i**5 + 0*i = 0.
-1, -2/7, 0, 1
Factor -160*t**2 + 20*t**3 - 174*t**2 - 132*t + 0*t**3 + 406*t**2 + 40.
4*(t - 1)*(t + 5)*(5*t - 2)
Determine u, given that -86 + 84*u - 29 - 23 - 51 + 109 - 4*u**2 = 0.
1, 20
Let u(n) be the second derivative of 5*n**4/12 - 235*n**3/2 + 2345*n**2 + n + 1436. Determine z, given that u(z) = 0.
7, 134
Suppose -5*z - p + 409 = -188, 2*z = 4*p + 252. Let t be ((-12)/28)/1 - z/(-35). What is s in -5/3*s**2 + 1/3*s**t + 7/3*s - 1 = 0?
1, 3
Let m(r) be the second derivative of r**4/27 + 56*r**3/27 + 50*r**2/3 - 143*r + 3. Factor m(z).
4*(z + 3)*(z + 25)/9
Suppose 9912*o**2 + 174*o**3 - 155202 + 174050*o + 2458*o**4 - 460935 - 2457*o**4 = 0. What is o?
-59, 3
Let b(i) be the second derivative of i**4/8 - 17*i**3 + 2385*i**2/4 + 3644*i. Find o, given that b(o) = 0.
15, 53
Suppose 628*t + 1268*t = 0. Find y such that 0 + t*y + 9/10*y**2 + 3/5*y**3 + 1/10*y**4 = 0.
-3, 0
Let y(f) be the second derivative of 0 + 21/20*f**5 - 1/14*f**7 - 266*f - 6*f**3 + 0*f**2 + 1/5*f**6 - 2*f**4. Let y(n) = 0. Calculate n.
-2, -1, 0, 2, 3
Let r(x) be the third derivative of -x**6/30 - 17*x**5/15 - 31*x**4/6 - 10*x**3 + 98*x**2. Let r(p) = 0. What is p?
-15, -1
Let j be 8/42*(-5)/(320/132). Let o = j + 89/84. Factor -4/9*p - o*p**2 - 2/9*p**3 + 0.
-2*p*(p + 1)*(p + 2)/9
Let m(z) be the first derivative of -z**7/210 - z**6/9 - 8*z**5/15 - 29*z**3/3 + 20. Let f(h) be the third derivative of m(h). Suppose f(t) = 0. Calculate t.
-8, -2, 0
Let a(k) be the third derivative of -k**8/64 + 337*k**7/210 - 391*k**6/120 - 353*k**5/120 + 817*k**4/96 + 21*k**3/4 + 2618*k**2. Suppose a(u) = 0. Calculate u.
-2/3, -1/7, 1, 63
Let i(l) = -l + 7. Let g be i(-10). Suppose -1 = -6*t + g. Determine z, given that 0*z**5 + 36*z**2 - 76*z**4 + 3*z**5 + 27*z - 6*z**t + 64*z**4 = 0.
-1, 0, 3
Let i(g) = 14*g**4 - 1497*g**3 - 1470*g**2 + 1486*g + 1467. Let k(n) = 5*n**4 - 500*n**3 - 490*n**2 + 496*n + 489. Let d(w) = 4*i(w) - 11*k(w). Solve d(m) = 0.
-1, 1, 489
Suppose -333 + 40*u**2 - 18*u**2 + 33 - 21*u**2 + 276*u + 23*u = 0. Calculate u.
-300, 1
Let r(g) be the first derivative of 21*g**4/2 + 127*g**3/3 + 87*g**2/2 + 2*g + 2006. Factor r(h).
(h + 1)*(h + 2)*(42*h + 1)
Let y be (-66*(-84)/20790)/(9/(-15) - -1). Determine r so that -y + 11/3*r - 7/3*r**2 - 11/3*r**3 + 3*r**4 = 0.
-1, 2/9, 1
Suppose -32*l + 29*l = c - 7, 4*c - 5*l - 113 = 0. Suppose -c*i = -9*i. Find v such that -1/9*v**3 + i*v + 1/9*v**2 + 0 = 0.
0, 1
Let 0 - u**5 - 7*u + 51/2*u**2 + 21/2*u**4 - 28*u**3 = 0. What is u?
0, 1/2, 1, 2, 7
Let s(n) = -25*n**3 - 350*n**2 - 37*n - 397. Let r be s(-14). Factor 21/2*o**3 - 231*o + r + 1/4*o**4 + 397/4*o**2.
(o - 1)**2*(o + 22)**2/4
Factor -20*n**4 + 19*n**4 + 4*n**5 + 63*n**3 + 29*n**4 + 5*n**3 + 48*n**2 - 4*n**3.
4*n**2*(n + 2)**2*(n + 3)
Let x(w) be the third derivative of w**5/20 - 289*w**4/2 + 167042*w**3 - w**2 + 2605*w. Let x(j) = 0. Calculate j.
578
Let s(r) = -19*r**4 - r**2. Let u(c) = 116*c**4 - 66*c**3 - 62*c**2. Let m(l) = -6*s(l) - u(l). Factor m(k).
-2*k**2*(k - 34)*(k + 1)
Let k be 5/10 + (40/24 - 40/(-48)). Let q(g) be the first derivative of 2/3*g**k - 4*g**2 + 6*g + 19. Factor q(b).
2*(b - 3)*(b - 1)
Let u be 7 - (-4)/(-5)*(5 - 0). Solve m**u - 1 + m**3 - 2*m + m**4 - 635*m**2 + 635*m**2 = 0 for m.
-1, 1
Let f be -3 - (-34)/14 - (1014/42 - 29)/1. Solve f*q - 4 - 2/7*q**2 = 0.
1, 14
Let y(x) be the third derivative of -x**6/8 + 5143*x**5/80 - 769*x**4/32 - 257*x**3/4 - x**2 + 18. Let y(h) = 0. What is h?
-1/4, 2/5, 257
Let u(x) = -1090*x + 38. Let s be u(-1). Let f = -5632/5 + s. Let f*d**2 + 14/5*d + 6/5 = 0. What is d?
-1, -3/4
Suppose 10 = -4*n - 5*r + 47, -4*n + 32 = 4*r. Let i(h) be the third derivative of 0 + 1/510*h**5 + 4/51*h**n + 8*h**2 - 5/204*h**4 + 0*h. Factor i(z).
2*(z - 4)*(z - 1)/17
Let p(t) be the second derivative of t**4/36 - 396*t**3 + 2117016*t**2 - 3622*t. What is g in p(g) = 0?
3564
Let w(y) = 26*y**2 - 167*y + 1452. Let p(x) = 226*x**2 - 1502*x + 13064. Let t(g) = -6*p(g) + 52*w(g). Solve t(m) = 0 for m.
10, 72
Let d(k) be the first derivative of -5*k**3/9 + 1571*k**2/3 - 1256*k/3 + 11749. Factor d(x).
-(x - 628)*(5*x - 2)/3
Let m = -271 - -274. Factor -163*h**2 + 30 - 6*h + 2*h**m + 4*h + 0*h + 133*h**2.
2*(h - 15)*(h - 1)*(h + 1)
Let f(g) = 104*g + 425. Let l be f(-9). Let z be l/35 - -15 - (-6)/(-40). Find q, given that -z*q**2 - 3/2*q - 2 = 0.
-4, -2
Factor 0 - 56/9*i + 16/9*i**3 + 220/9*i**2.
4*i*(i + 14)*(4*i - 1)/9
Let a(j) be the third derivative of 0 - 3*j**3 - 6*j**2 + j - 32/15*j**5 - 4*j**4. Solve a(f) = 0.
-3/8
Let c(z) be the first derivative of -1/1080*z**6 + 4*z**3 + 0*z + 1/36*z**5 + 0*z**2 - 25/72*z**4 - 12. Let j(w) be the third derivative of c(w). Factor j(i).
-(i - 5)**2/3
Let p(r) be the first derivative of -r**7/4200 - r**6/300 + 152*r**3/3 - 134. Let x(o) be the third derivative of p(o). Factor x(w).
-w**2*(w + 6)/5
Determine q, given that 0 + 188/7*q**3 - 754/7*q**2 + 8/7*q = 0.
0, 1/94, 4
Let w(u) = 33*u**3 - 2632*u**2 + 1741*u - 282. Let f(k) = -630*k**3 + 50010*k**2 - 33080*k + 5360. Let c(a) = -4*f(a) - 75*w(a). Factor c(l).
5*(l - 58)*(3*l - 1)**2
Let u(z) be the second derivative of -5*z**4/12 - 5*z**3/6 + 75*z**2 + 168*z. Find b such that u(b) = 0.
-6, 5
Let o(g) = 272*g**2 + 245 - 267*g**2 + 71*g - g. Let k(a) = -40*a**2 - 560*a - 1960. Let p(d) = 3*k(d) + 25*o(d). Factor p(z).
5*(z + 7)**2
Let y(w) be the first derivative of 2/3*w**3 - 5*w**2 + 12*w + 78. Factor y(b).
2*(b - 3)*(b - 2)
Suppose 8*m = -77 - 19. Let c = m + 14. Factor -3*u - 207*u**3 + 3*u**c - 4*u**4 + u**4 + 210*u**3.
-3*u*(u - 1)**2*(u + 1)
Let r(s) be the third derivative of -s**8/560 - 53*s**7/1680 + s**6/80 + 31*s**3 + s**2 - 39. Let a(x) be the first derivative of r(x). Factor a(g).
-g**2*(g + 9)*(6*g - 1)/2
Let q(s) be the third derivative of -s**6/60 + 4*s**5/15 + 3*s**4/4 - 1025*s**2. Factor q(k).
-2*k*(k - 9)*(k + 1)
Let g(f) be the third derivative of -13*f**8/36 - 1619*f**7/945 - 37*f**6/20 + 71*f**5/135 + 5*f**4/9 - 8*f**3/27 + 43*f**2 - 46. Let g(u) = 0. What is u?
-2, -1, -2/7, 2/13, 1/6
Let g(r) be the second derivative of r**5/160 + r**4/12 - 3*r**3/16 - 84*r + 5. Factor g(j).
j*(j - 1)*(j + 9)/8
Let f be (11 + -8)*(5/3 - 1). Solve 11*x + 3*x**f - 33*x - 51 - 26*x = 0 for x.
-1, 17
Determine r so that 19000/3*r - 1331/3*r**4 + 34804*r**2 + 63646*r**3 + 384 = 0.
-2/11, 144
Let b = -299112 - -299115. Determine w, given that 41/2*w**b - 1372 + 1/2*w**4 + 1078*w + 273*w**2 = 0.
-14, 1
Let y(a) = -5*a**4 - 4*a**3 - 7*a**2 + 8*a + 8. Let b(u) = -u**4 + u**3 + 2*u**2 - 2. Let f(g) = 4*b(g) - y(g). Solve f(v) = 0.
-4, -1, 1
Let m be (-12)/(-2)*100/(-150). Let z be (18*(-10)/(-25))/((-6)/m). Factor 3/5*c**3 - 6/5*c**2 - 12/5*c + z.
3*(c - 2)**2*(c + 2)/5
Suppose 0 = -7*g + 63*j - 60*j + 25