Find l such that r(l) = 0.
-352/3
Suppose 3 = -3*t - 9*m + 4*m, 4*t - 4*m - 28 = 0. Let o(c) = c**3 - 3*c**2 - 9*c. Let d(h) = -4*h**2 - 8*h. Let q(n) = t*o(n) - 5*d(n). What is p in q(p) = 0?
-1, 0
Let h be 98 + (-635)/508 + -96. Let p(c) = -c**2 + 5*c - 2. Let k be p(4). Solve 1/2*s + 0 + 1/4*s**3 + h*s**k = 0.
-2, -1, 0
Determine q, given that -4*q**3 - 136*q**4 + 3*q**3 - 3*q**3 + 42*q**5 + 136*q**2 - 28*q**5 - 10*q**5 = 0.
-1, 0, 1, 34
Factor -112*z - 21*z - 2*z**2 + 65*z + z**2 - 208*z.
-z*(z + 276)
Let z(u) be the first derivative of -5/3*u**4 - 28/9*u**3 + 10/3*u**2 + 4/15*u**5 + 8*u - 76. Factor z(b).
4*(b - 6)*(b - 1)*(b + 1)**2/3
Let a(s) be the first derivative of 0*s + 5/14*s**4 + 6/7*s**3 + 67 + 13/21*s**2 + 2/105*s**5. Determine v so that a(v) = 0.
-13, -1, 0
Let n = -72919/40 - -1823. Let q(d) be the third derivative of -16*d**2 + n*d**4 + 0*d + 1/600*d**6 - 1/30*d**3 + 0 - 1/100*d**5. Factor q(w).
(w - 1)**3/5
Let l = -24 - -24. Suppose -5*y - 5*r + 20 = -0*y, l = 5*y + 4*r - 18. Factor -9*n**3 + 0*n**3 - 125*n + 4*n**3 - 50*n**y.
-5*n*(n + 5)**2
Let x(a) be the second derivative of -4/15*a**3 - 271*a - 23/25*a**5 - 4/5*a**2 + 0 + 7/6*a**4 - 4/105*a**7 + 23/75*a**6. Solve x(i) = 0.
-1/4, 1, 2
Let n(o) = o**5 - o**4 - 3*o + 2. Let a(m) = 20*m**5 + 24*m**4 + 8*m**3 - 4*m**2 - 12*m + 8. Let v(d) = -a(d) + 4*n(d). What is k in v(k) = 0?
-1, 0, 1/4
Suppose 12 = -64*v + 125 + 15. Let -1/2*a**v - 9*a + 19/2 = 0. Calculate a.
-19, 1
Let n be 27753/(-22)*7*2/6. Let t = 3006 + n. Find w such that 2 + t*w**2 - 125/2*w**3 - 20*w = 0.
1/5, 2/5
Let j(h) be the third derivative of 5/336*h**8 + h**2 + 0*h**3 + 1/3*h**5 - 5/6*h**4 - 2/21*h**7 + 0 + 31*h + 1/8*h**6. What is o in j(o) = 0?
-1, 0, 1, 2
Let w be ((-538)/(-5))/(9 + (-6585)/725). Let h = 1308 + w. Suppose -h*k**3 - 2/3*k**5 + 20/3*k**2 + 23/6*k**4 + 0 - 2*k = 0. What is k?
0, 3/4, 1, 2
Let y = -972827/3 + 324276. Suppose -15*q**2 + 4*q**3 + 0 + 50/3*q - y*q**4 = 0. What is q?
0, 2, 5
Let x(z) be the second derivative of -3*z**5/110 - 1011*z**4/22 - 340707*z**3/11 - 114818259*z**2/11 - 3135*z. Factor x(w).
-6*(w + 337)**3/11
Let c(d) be the second derivative of d**8/672 - 73*d**7/1260 - d**6/12 - 13*d**4/12 - 3*d**2/2 + 19*d. Let h(v) be the third derivative of c(v). Factor h(a).
2*a*(a - 15)*(5*a + 2)
Solve 3/8*b**2 - 3/4*b**3 - 6 + 12*b = 0 for b.
-4, 1/2, 4
Suppose -3 + 166 = 239*s - 554. Let u(m) be the second derivative of -1/25*m**5 - 1/15*m**4 + 2/5*m**2 - 9 + 2*m + 2/15*m**s. Factor u(a).
-4*(a - 1)*(a + 1)**2/5
Let j be (-24150)/3059 - (7 + -23 + 8). Factor -42*k**2 - j*k**4 - 82/19*k**3 + 882/19*k + 0.
-2*k*(k - 1)*(k + 21)**2/19
Let t be (-1)/5 + (-135807)/(-10035). Factor 0 + 4/3*a**3 - 44/3*a + t*a**2.
4*a*(a - 1)*(a + 11)/3
Let h(g) be the first derivative of -g**5/35 + 8*g**4/7 - 117*g**3/7 + 108*g**2 - 2160*g/7 + 4461. Factor h(d).
-(d - 12)**2*(d - 5)*(d - 3)/7
Let g(f) be the third derivative of 1/2*f**3 + 0 + 7/180*f**5 + 249*f**2 + 0*f - 17/72*f**4 + 1/360*f**6. Determine x so that g(x) = 0.
-9, 1
Let r(q) = q**4 - q**2 - q - 1. Let u be (1/2 + 2)*(-4)/(-10). Let i(w) = 30*w**4 + 36*w**3 - 34*w**2 - 42*w - 10. Let d(f) = u*i(f) - 10*r(f). Factor d(z).
4*z*(z - 1)*(z + 2)*(5*z + 4)
Let x(d) be the second derivative of d**6/15 + 18*d**5/55 + 3*d**4/22 - 4*d**3/3 - 12*d**2/11 - 1680*d + 1. Let x(f) = 0. Calculate f.
-2, -3/11, 1
Let z(l) be the first derivative of -l**8/672 + l**7/420 + l**6/240 - l**5/120 - 221*l**2/2 + 4. Let x(p) be the second derivative of z(p). Factor x(r).
-r**2*(r - 1)**2*(r + 1)/2
Suppose 0 = -2*z + 5*b + 12, 7*b = 5*z + 9*b - 88. Let i be (14 + (-480)/35)*14/z. Find u, given that -1/4*u**2 + 1/4*u**4 + 0 + i*u**3 - 1/4*u = 0.
-1, 0, 1
Factor -7/4*j**3 - 445/4*j**2 + 226 + 233/2*j.
-(j - 2)*(j + 1)*(7*j + 452)/4
Let o = -113 + 112. Let w be (64/80)/((-3)/5 - o). Find n, given that 4*n**2 + w*n - 14*n + 382*n**4 + 12*n**3 - 386*n**4 = 0.
-1, 0, 1, 3
Let x(m) be the second derivative of 45*m + 0 - 3/7*m**2 - 2/49*m**7 - 9/7*m**4 + 1/105*m**6 + 18/35*m**5 + 26/21*m**3. Find f such that x(f) = 0.
-3, 1/6, 1
Factor 110*o - 489*o**2 - 371*o**3 + 131*o + 347*o**3 + 189 + 83*o.
-3*(o - 1)*(o + 21)*(8*o + 3)
Let v = 70457/21 + -3355. Let y(l) be the third derivative of -3/70*l**5 - 1/12*l**4 + 0*l - 1/735*l**7 + 0 - 1/84*l**6 - v*l**3 - 4*l**2. Factor y(u).
-2*(u + 1)**3*(u + 2)/7
Let t(s) = -269 + 535 - 267 - s**3. Let b(g) = 5*g**3 + 4*g**2 + 2*g + 3. Let x(n) = -b(n) - 3*t(n). Factor x(p).
-2*p*(p + 1)**2
Let l be (68/(-7))/((-12)/42). Let h = l - -44. Find s, given that 7*s**5 - h*s - 2*s**5 + 83*s - 10*s**3 = 0.
-1, 0, 1
Let p(r) be the first derivative of 2/15*r**4 + 1/1800*r**6 + 8/3*r**3 + 1/75*r**5 + 0*r**2 + 0*r - 15. Let q(a) be the third derivative of p(a). Factor q(t).
(t + 4)**2/5
Let i(t) = -t**5 - 13*t**4 + 15*t**3 + 13*t**2 - 27*t - 13. Let q(n) = -n**4 + n**3 + n**2 - 2*n - 1. Let d(l) = -5*i(l) + 65*q(l). Find b such that d(b) = 0.
-1, 0, 1
Let t = 208 - 203. Find l such that t + 163*l**2 + 298*l**2 + 259*l**2 - 120*l = 0.
1/12
Let p = -76849 - -76851. Factor 8/3 + 49/6*n**p - 28/3*n.
(7*n - 4)**2/6
Let t(p) = 4*p + p - 4*p + 14 - 4. Let n be t(-8). Factor 9*y**2 + 1 - 8*y**2 - 2*y**2 + 0*y**n.
-(y - 1)*(y + 1)
Determine n, given that 0 + 1970*n**4 + 3951*n**3 + 168*n + 59*n + 6 + 898*n**4 + 52*n + 2040*n**2 + 684*n**5 = 0.
-2, -1, -1/6, -1/38
Let r = 26 - 23. Let z be 3 + -3 - ((r - 5) + -1). Suppose -t**2 + 7/2*t - 2 - 1/2*t**z = 0. What is t?
-4, 1
Let q = 7665 + -4398. What is o in -432*o - 7920*o**4 + 888*o**2 - q*o**5 - 896*o**2 - 7176*o**3 - 1682*o**2 - 1190*o**2 = 0?
-2/3, -6/11, 0
Let h(v) be the first derivative of 5*v**4/24 + 65*v**3/18 + 5*v**2 + 1095. Determine u so that h(u) = 0.
-12, -1, 0
Find j, given that 108/13*j - 400/13 + 398/13*j**2 - 108/13*j**3 + 2/13*j**4 = 0.
-1, 1, 4, 50
Let k(i) = 8862*i - 53172. Let g be k(6). Find m, given that 2/9*m**4 + g*m**2 + 0 - 58/9*m**3 + 0*m = 0.
0, 29
Factor 4/5*t**4 + 4/5*t**2 + 0 + 8/5*t**3 + 0*t.
4*t**2*(t + 1)**2/5
Let u(h) be the first derivative of -h**6 + 23*h**5/2 - 233*h**4/8 + 33*h**3/2 + 101*h**2/4 - 35*h - 4594. Suppose u(p) = 0. Calculate p.
-2/3, 1, 5/4, 7
Let m(j) be the third derivative of 13*j**7/42 - 115*j**6/24 - 97*j**5/4 - 925*j**4/24 - 55*j**3/3 + 1067*j**2. Let m(w) = 0. What is w?
-1, -2/13, 11
Let w = -2/4133 - -4183/103325. Let n(h) be the second derivative of 0*h**4 + 0 + 0*h**2 + 0*h**3 - 16*h + w*h**5. What is r in n(r) = 0?
0
Let b = -11245 - -11248. Factor -2/5*u - 3/5*u**b + 1/5*u**5 + u**2 + 0 - 1/5*u**4.
u*(u - 1)**3*(u + 2)/5
Let j(x) be the first derivative of 5*x**3/3 + 75*x**2 - 1080*x - 1475. Let j(s) = 0. Calculate s.
-36, 6
Factor -136685478*k**2 - 271556547/2*k - 2022*k**4 + 0 - 3/2*k**5 - 909225*k**3.
-3*k*(k + 1)*(k + 449)**3/2
Let a = 2756 + -2754. Let w(d) be the third derivative of 0*d + 1/3*d**4 + 19/165*d**5 + 3/220*d**6 + 8/33*d**3 + 0 + 2*d**a. What is v in w(v) = 0?
-2, -2/9
Let f(y) = -10*y**3 - 185*y**2 + 1300*y - 1720. Let w(d) = -11*d**3 - 183*d**2 + 1298*d - 1704. Let j(t) = -6*f(t) + 5*w(t). Suppose j(r) = 0. What is r?
-45, 2, 4
Let t(q) = 25*q - 197. Let c be t(-5). Let y = 322 + c. Determine h, given that -3/8*h + 1/4*h**2 + y + 1/8*h**3 = 0.
-3, 0, 1
Let f(g) = 160*g - 22*g + g**2 + 2171 + 95*g. Let i(w) = -w**2 - 350*w - 3257. Let u(z) = -8*f(z) - 5*i(z). Factor u(s).
-3*(s + 19)**2
Let m(f) be the second derivative of 0 - 1/170*f**5 - 20/17*f**2 - 8/51*f**3 + 11/102*f**4 - 141*f. Factor m(c).
-2*(c - 10)*(c - 2)*(c + 1)/17
Let p(j) be the first derivative of j**6/20 - j**5/20 + j**4/48 - 47*j**3/3 - 42. Let q(z) be the third derivative of p(z). Factor q(y).
(6*y - 1)**2/2
Let x(f) be the third derivative of -1/60*f**3 + 0 + 1/600*f**5 - 14*f**2 - 1/300*f**6 + 1/60*f**4 + 0*f. Solve x(v) = 0.
-1, 1/4, 1
Let g(b) = -820*b**2 + 1360*b - 3280. Let f(w) = 47*w**2 - 80*w + 193. Let r(l) = 35*f(l) + 2*g(l). Factor r(q).
5*(q - 13)*(q - 3)
Let p be ((23 - 3)/5)/2. Let z(u) = 8*u - 17. Let o be z(3). Suppose -3*g**3 + 2*g + o*g**p + 8*g**2 - 2*g**3 - 18*g**2 = 0. What is g?
-1, 0, 2/5
Suppose -z = 22, -74*n = -78*n - 32*z - 501 - 191. Determine d so that 32/5*d**n - 4/5*d + 8/5*d**5 + 6*d**4 + 6/5*d**2 + 0 = 0.
-2, -1