 0 - s*d**3 + 3*d**2 + 1/24*d**4 + 0*d. Solve k(g) = 0 for g.
1, 2
Let 3/4*x**2 - 1047/2*x + 0 = 0. What is x?
0, 698
Let c(i) be the third derivative of i**7/840 + i**6/480 - i**5/40 - i**4/24 + i**3/3 - 2*i**2 + 7. Determine l, given that c(l) = 0.
-2, 1, 2
Let l be ((-10)/16)/(-1 - (3 + 372/(-96))). Let d(y) be the third derivative of 3/8*y**4 + y**3 + 1/20*y**l + 0 + 0*y + 19*y**2. Factor d(q).
3*(q + 1)*(q + 2)
Factor 2/13*h**2 - 48/13 - 46/13*h.
2*(h - 24)*(h + 1)/13
Suppose 4*z - 3*z = 5*o - 470, -4*o + 365 = -3*z. Let q = 97 - o. Factor 36/5*y**3 + 3/5*y**5 + 0*y + 0 + 24/5*y**q + 18/5*y**4.
3*y**2*(y + 2)**3/5
Let y be (77/11)/(1/337). Factor 2*t**3 - 7056*t - 3*t**3 - 252*t**2 - y - 63497 - 2*t**3.
-3*(t + 28)**3
Let c(l) be the second derivative of 2*l**6/15 + 319*l**5/5 + 25597*l**4/3 + 16430*l**3 - 101124*l**2 + 76*l + 2. Factor c(m).
4*(m - 1)*(m + 2)*(m + 159)**2
Find w such that 249218/9 + 1412/9*w + 2/9*w**2 = 0.
-353
Let f(x) be the first derivative of 3/10*x**2 + 3/20*x**4 + 31 - 2/5*x**3 + 0*x. Find l, given that f(l) = 0.
0, 1
Let s(p) be the third derivative of p**6/420 + 6*p**5/35 - 12*p**2. Solve s(o) = 0.
-36, 0
Let l be 405/(-45) - (-1 + 3). Let z(b) = -8*b**3 + 16*b**2 - 14*b. Let m(a) = 15*a**3 - 31*a**2 + 28*a - 1. Let w(u) = l*z(u) - 6*m(u). Factor w(h).
-2*(h - 3)*(h - 1)**2
Let q(w) be the third derivative of w**5/150 - 39*w**4/20 - 238*w**3/15 - 557*w**2. Let q(h) = 0. What is h?
-2, 119
Suppose -5*l + 6 = -2*b, 4*b = -2*l + 7*l - 12. Let n(x) = 8*x**2 - 35*x + 53. Let a(k) = 17*k**2 - 70*k + 107. Let j(v) = b*a(v) + 7*n(v). Factor j(u).
5*(u - 5)*(u - 2)
Let d(w) be the third derivative of w**8/840 - 11*w**7/525 + 7*w**6/75 + 8*w**5/75 - 32*w**4/15 + 112*w**3/15 - 10237*w**2. Factor d(x).
2*(x - 7)*(x - 2)**3*(x + 2)/5
Let r(c) = c**3 + 14*c**2 - 41. Let p be r(-13). Solve 59*q**3 + 40*q**3 + 4*q**5 + 69*q**3 + 256*q**2 + 44*q**4 + p*q = 0 for q.
-4, -2, -1, 0
Let k(u) be the first derivative of 2*u**5/25 - 18*u**4/5 - 152*u**3/15 - 1918. Factor k(q).
2*q**2*(q - 38)*(q + 2)/5
Factor -14729 + 13805 + 2*v**2 + 1409*v + 438*v.
(v + 924)*(2*v - 1)
Let c(x) be the second derivative of -x**6/30 + x**5/10 + 379*x**4/12 - 190*x**3/3 - 4137*x. Factor c(d).
-d*(d - 20)*(d - 1)*(d + 19)
Let s be -1 + -16 + (0 - 1) + 2. Let u(z) = z + 36. Let k be u(s). Suppose -k*l**2 + 3*l - 27 - 51*l + 11 = 0. Calculate l.
-2, -2/5
Let l be 3/(-2)*328/246 + (-19)/(-9). Let x(h) be the second derivative of -l*h**3 + 0 + 4/9*h**2 - 1/54*h**4 - 6*h. Let x(k) = 0. Calculate k.
-4, 1
Let q = 117140 - 117138. What is j in -2/19*j**4 - 90/19*j**q - 108/19 - 22/19*j**3 - 162/19*j = 0?
-3, -2
Suppose 459 - 26*v + 1/3*v**2 = 0. Calculate v.
27, 51
Let h(r) = -2*r**3 + 3*r**2 - r + 7. Let p be h(2). Suppose -p = -29*y + 57. Let -15/2*d**y + 45/4*d + 5/4*d**3 + 0 = 0. What is d?
0, 3
Let o(m) be the second derivative of m**4/48 - 133*m**3/24 + 131*m**2/4 - 11*m - 13. Determine g so that o(g) = 0.
2, 131
Let s(r) be the second derivative of r**4/30 - 257*r**3/15 + 102*r**2 + 44*r - 16. Solve s(t) = 0.
2, 255
Let c = 238711 - 238709. Determine w so that -1/4*w**3 + 0 + 0*w + 5/4*w**c = 0.
0, 5
Let r(g) = 15*g**2 - 81*g - 266. Let c(a) = -3*a**2 - 1. Let d(y) = 4*c(y) + r(y). Factor d(s).
3*(s - 30)*(s + 3)
Let b(o) be the first derivative of -o**6/90 - o**5/30 + o**4/12 + 60*o - 14. Let w(c) be the first derivative of b(c). Factor w(y).
-y**2*(y - 1)*(y + 3)/3
Let d = 13968 + -55871/4. Let g(s) be the second derivative of 0 - d*s**4 + 3*s**2 - 1/2*s**3 - 3*s. Determine p so that g(p) = 0.
-2, 1
Let r(o) be the third derivative of o**2 + 35/24*o**3 - 15 + 0*o + 1/480*o**6 + 71/96*o**4 + 37/240*o**5. What is d in r(d) = 0?
-35, -1
Suppose 8*g - 47 = 337. Let m be (-210)/(-26) - 144/g. Factor 14/13*a**3 + 36/13*a - m*a**2 + 16/13.
2*(a - 4)*(a - 1)*(7*a + 2)/13
Let h(n) = 17*n**4 + 37*n**3 + 89*n**2 + 71*n + 2. Let r(s) = 6*s**4 + 12*s**3 + 30*s**2 + 24*s. Let c(f) = -3*h(f) + 8*r(f). Suppose c(x) = 0. Calculate x.
-2, -1
Factor 1776087512*u - 714879512*u - u**4 + 2222*u**3 + 838*u**3 - 3121200*u**2.
-u*(u - 1020)**3
Let h(s) be the first derivative of -2*s**3/21 + 87*s**2/7 - 664*s/7 - 2325. Factor h(q).
-2*(q - 83)*(q - 4)/7
Suppose -459 = 11*s - 19*s - 19*s. Let r(o) be the third derivative of s*o**2 + 0 + 1/90*o**5 - 11/72*o**4 + 5/18*o**3 + 0*o. Factor r(g).
(g - 5)*(2*g - 1)/3
Determine c, given that 1227*c**3 - 2158*c**3 + 1091*c**3 - 92*c**4 - 20*c**5 - 48*c**2 = 0.
-6, 0, 2/5, 1
Let d = -294/17 - -1521/85. Let b(q) be the first derivative of 3 + 0*q**3 + 1/10*q**4 - 4/5*q - d*q**2. Factor b(j).
2*(j - 2)*(j + 1)**2/5
Suppose 2*u = -3*o - 15 - 9 - 5, 0 = 4*o + 44. Factor -14/9*m**u + 0 + 2/9*m**3 + 4/3*m.
2*m*(m - 6)*(m - 1)/9
Let i be (-5)/6 - 204/(-72). Determine n, given that 1 - 500*n**5 - 48*n**i - 1 + 48*n**4 + 44*n + 496*n**5 - 40*n**3 = 0.
-1, 0, 1, 11
Let m be 104/(-24)*6/234*(1 - 4). Factor 0*s**2 + 0 - m*s + 1/3*s**3.
s*(s - 1)*(s + 1)/3
Let h = 45049 - 22062. Factor 2*y**2 - h + 3*y**2 + 15*y + 22897.
5*(y - 3)*(y + 6)
Factor 920/3*c + 1/6*c**3 - 83/6*c**2 - 800.
(c - 40)**2*(c - 3)/6
Let a(c) be the first derivative of c**4/38 + 104*c**3/57 + 493*c**2/19 - 10092*c/19 + 1907. Suppose a(s) = 0. What is s?
-29, 6
Let f be 12/8 + 15/(-6)*-1. Suppose 2*q - 13 = -0*q - 5*d, f*q + 3*d - 19 = 0. Determine o, given that -6*o + 0 + q - o + 2 + o**2 = 0.
1, 6
Let b(p) be the second derivative of p**4/42 + 19*p**3/7 - 180*p**2/7 - 2041*p. Solve b(z) = 0.
-60, 3
Let h = 20094 + -20087. Let n(m) be the third derivative of 0*m + 5/8*m**4 - 1/112*m**8 + 21*m**2 + 2/35*m**h - 1/10*m**6 - m**3 - 1/10*m**5 + 0. Factor n(r).
-3*(r - 2)*(r - 1)**3*(r + 1)
Let t(x) be the third derivative of x**9/7560 - x**8/1120 + x**7/630 - 5*x**4/24 + x**3/6 + 2*x**2 - x. Let d(v) be the second derivative of t(v). Factor d(n).
2*n**2*(n - 2)*(n - 1)
Let d(r) be the second derivative of 1/6*r**4 + 0 - 38/3*r**3 + 361*r**2 - 89*r. Factor d(b).
2*(b - 19)**2
Let c(p) be the third derivative of p**7/2940 + p**6/140 + 2*p**5/105 - 11*p**3/3 + 114*p**2. Let z(w) be the first derivative of c(w). Factor z(m).
2*m*(m + 1)*(m + 8)/7
Let u(w) = w**4 - w**3 + 2*w - 10. Let d(y) = 6*y**4 - 9*y**3 - 5*y**2 + 46*y - 86. Let p(a) = -3*d(a) + 15*u(a). Let p(l) = 0. What is l?
-3, 2, 3
Let y(j) be the first derivative of -j**3 - 21*j**2/2 - 36*j - 101. Factor y(h).
-3*(h + 3)*(h + 4)
Let d be 2 + ((-3)/9)/((-3)/9). Let i(v) be the third derivative of 1/24*v**d + 0*v - 1/120*v**5 - 3*v**2 - 1/96*v**4 + 0. Suppose i(a) = 0. Calculate a.
-1, 1/2
Let b(y) be the first derivative of y**4/8 + 14*y**3/3 + 49*y**2/4 - 39*y - 2355. Factor b(s).
(s - 1)*(s + 3)*(s + 26)/2
Suppose 860 - 424 - 468 = -16*g. Suppose -8/9*k + 0 - 4/9*k**4 - 2*k**3 - 8/3*k**g = 0. What is k?
-2, -1/2, 0
Suppose -4/3*i + 2*i**2 - 2/3*i**4 + 0 + 0*i**3 = 0. What is i?
-2, 0, 1
Suppose -11*h + 27 = 5. Let l(s) = 5*s - 5. Let q be l(h). Suppose 4*c**2 - 2*c**3 - 8*c + c + 0*c**3 + q*c = 0. What is c?
0, 1
Let j be 267/(-2670)*(11 + 2/2)*15/(-3). Determine h so that -2*h**3 + 28/5 + 2/5*h**4 + 2*h - j*h**2 = 0.
-2, -1, 1, 7
Suppose 0 = 4*o + 4*j - 128, -3*j = -2*o - 0*o + 59. Suppose 4*z - o = -15. Factor 9*l**3 + 266*l + 3*l**4 + 2*l**z - 2*l**4 - 278*l.
3*l*(l - 1)*(l + 2)**2
Let a(r) = r**2 - 20*r - 7. Let g be a(20). Let f be 1/(-3) - g/3. Factor 8*j**5 - 12*j**5 + 9*j**4 + 7*j**5 - 4*j**f - 8*j**2.
3*j**2*(j - 1)*(j + 2)**2
Let q(f) be the first derivative of f**3/15 - 31*f**2/5 + 24*f + 92. Factor q(r).
(r - 60)*(r - 2)/5
Suppose -5*k + 3*k = -70. Let w be 34*(k/(-10))/(-7). Solve 4*z + 11 + 4*z**2 - 28 + w = 0 for z.
-1, 0
Let f be -9*(-1)/6*124/6. Let x = f + -29. Factor 7*w**x + 17*w**2 - 5*w**3 + w**3 + 0*w**2.
-4*w**2*(w - 6)
Let f be 2/((-14)/(-15)) - 1. Let z be 3/(21/5) - (1 + (-176)/154). Suppose -f - 2/7*t**3 + z*t**2 + 0*t = 0. What is t?
-1, 2
Let o(f) = -3*f**2 - 239*f - 236. Let z(b) = 14*b**2 + 1192*b + 1178. Let g(x) = 11*o(x) + 2*z(x). Determine h, given that g(h) = 0.
-48, -1
Let w(p) be the first derivative of -6/5*p + 113 + 7/10*p**2 - 1/15*p**3. Factor w(z).
-(z - 6)*(z - 1)/5
Let n(o) = -o**2 - 3*o + 6. Let a(b) = -70*b - 512. Let c(y) = -a(y) + n(y). Factor c(i).
-(i - 74)*(i + 7)
Let h(