 14*k**5/15 + 517*k**4/27 - 1064*k**3/9 + 2888*k**2/9 + 944*k. Solve w(n) = 0 for n.
2, 19
Let s = -84993 + 84993. Suppose -4/3 + 7/3*q**2 + s*q - 1/3*q**3 - q**4 + 1/3*q**5 = 0. What is q?
-1, 1, 2
Factor -247/6 - 1/6*a**2 + 16/3*a.
-(a - 19)*(a - 13)/6
Factor -10/3*n**2 - 208 + 1046/3*n.
-2*(n - 104)*(5*n - 3)/3
Let q(y) be the third derivative of -1/30*y**5 + 0*y + 0*y**3 + 0 + 27*y**2 + 1/6*y**4 - 1/30*y**6 + 1/105*y**7. Factor q(r).
2*r*(r - 2)*(r - 1)*(r + 1)
Let u(b) be the first derivative of -49*b**5/25 - 161*b**4/20 - 43*b**3/15 - 3*b**2/10 + 320. Let u(d) = 0. Calculate d.
-3, -1/7, 0
Let c = 17280326 + -9244968983/535. Let s = c - -6/107. Determine u, given that s*u**3 + 6/5*u + 39/5*u**2 - 36/5*u**4 + 0 = 0.
-1/3, -1/4, 0, 2
Let o be (-108)/(-78)*(-1560)/(-900). Solve -6/5*b**4 + 1/5*b**5 - o*b**2 + 0 + 4/5*b + 13/5*b**3 = 0.
0, 1, 2
Let m = 131 + -79. Suppose n - 69 + m = 0. Find z such that -16*z**2 + 2 - 4*z**3 + n*z - 2 + 16*z**4 - 13*z = 0.
-1, 0, 1/4, 1
Let v(m) be the third derivative of -m**8/105 - 3*m**7/175 + 23*m**6/300 + 43*m**5/150 + 7*m**4/20 + 2*m**3/15 - 2*m**2 + 233*m. Suppose v(k) = 0. What is k?
-1, -1/8, 2
Let h(g) be the first derivative of -g**4/20 - 193*g**3/15 + 1110. Factor h(o).
-o**2*(o + 193)/5
Let g(z) = 4*z**3 + 12*z**2 - 17*z + 1. Let s be g(-4). Let o(p) be the third derivative of 1/60*p**s + 0*p**3 + 5/24*p**4 + 0 + 0*p + p**2. Factor o(w).
w*(w + 5)
Suppose -164*f + 25 + 303 = 0. Let u(o) be the first derivative of -5/3*o**3 - 25/4*o**4 + 5*o**f + 0*o - 7 - 2*o**5. Solve u(n) = 0 for n.
-2, -1, 0, 1/2
Let c(d) be the third derivative of -1/10*d**5 - 1/105*d**7 + 0 - 3/4*d**4 + 42*d**2 + 1/12*d**6 + 0*d + 0*d**3. What is t in c(t) = 0?
-1, 0, 3
Let u = 2783 - 1633. Let y be (2 - 3)*3 - u/(-230). Find r such that 3/2*r - 6 + 3/4*r**y = 0.
-4, 2
Let i(w) be the first derivative of -3*w**4 - 40*w**3/3 - 2*w**2 + 56*w - 957. Factor i(g).
-4*(g - 1)*(g + 2)*(3*g + 7)
Let p(u) be the first derivative of u**6/3 - 10*u**5 - 27*u**4 + 6039. Solve p(t) = 0 for t.
-2, 0, 27
Let b(k) = 111*k**3 - 25985*k**2 - 28097393*k - 10133786927. Let f(o) = -13*o**3 + 3248*o**2 + 3512174*o + 1266723366. Let l(m) = 6*b(m) + 51*f(m). Factor l(n).
3*(n + 1082)**3
Let i(a) be the first derivative of -26*a**3/51 - 1055*a**2/17 - 324*a/17 + 1043. Factor i(d).
-2*(d + 81)*(13*d + 2)/17
Suppose -5*g - 6 + 12 = -2*n, 0 = 5*n + 3*g - 47. Factor 2*q**2 + n*q**3 + 6*q**3 - 12*q**2 - 8*q**3.
5*q**2*(q - 2)
Let p(q) = 7*q**2 + 5*q + 4. Let t be ((-44)/(-55))/(2/5). Let n(a) = -3*a + 3*a**2 + t*a + 0*a - 2*a**2. Let i(h) = 3*n(h) - p(h). Let i(f) = 0. Calculate f.
-1
Let o(w) = w**3 + 68*w**2 - 698*w - 385. Let a be o(-77). Let x(r) be the first derivative of 0*r**3 - 4/5*r**5 + 0*r + a*r**2 - 28 - 3*r**4. Factor x(l).
-4*l**3*(l + 3)
Let c(h) = 6*h**2 - 594*h + 1944. Let u(w) = 3*w**2 - 301*w + 972. Let f(k) = 4*c(k) - 9*u(k). Determine o, given that f(o) = 0.
3, 108
Let z(k) be the second derivative of k**7/23940 - k**6/3420 + 3*k**4 - 6*k - 8. Let t(d) be the third derivative of z(d). Factor t(o).
2*o*(o - 2)/19
Let j(a) be the first derivative of 5/4*a**3 - 3/4*a + 179 - 9/16*a**4 - 3/5*a**5 + 9/8*a**2. What is w in j(w) = 0?
-1, 1/4, 1
Let c be (6/45*21)/(1/(-5)). Let k = -12 - c. Factor -4 + q**2 + 7 + 0*q + 6*q + 2*q**k.
3*(q + 1)**2
Let x(z) be the first derivative of z**3/3 - z**2/2 - z + 5. Let y(k) = 5*k + 10. Let q be 18/6 + -1 - -3. Let o(i) = q*x(i) - y(i). Find a such that o(a) = 0.
-1, 3
Let -13/4 - 53/4*k - 10*k**2 = 0. Calculate k.
-1, -13/40
Let s(f) be the second derivative of 1/6*f**3 + 5/72*f**4 - 3*f**2 + 0 - 1/360*f**6 + 1/180*f**5 - 8*f. Let a(j) be the first derivative of s(j). Factor a(n).
-(n - 3)*(n + 1)**2/3
Let -424*i**3 + 9*i**2 + 322*i**3 - 324*i + 105*i**3 = 0. What is i?
-12, 0, 9
Let n(h) = -h**3 - 2*h**2 - 3*h + 3. Let y be n(-3). Suppose 5 - y = -4*j. Determine s so that 13*s**4 - 3*s**4 + 40*s - 15 - 5*s**j - 30*s**2 = 0.
-3, 1
Factor -306*d + 2547*d**2 + 2547*d**2 + 2551*d**2 - 7653*d**2 - 76.
-2*(d + 38)*(4*d + 1)
Factor 17707 - 2*o**3 - 8900 + 130*o - 8933 - 2*o**2.
-2*(o - 7)*(o - 1)*(o + 9)
Let f(x) = -43*x**2 - 1611*x - 4950. Let q(d) = -30*d**2 - 1070*d - 3300. Let y(m) = -5*f(m) + 7*q(m). Factor y(s).
5*(s + 3)*(s + 110)
Suppose 4*o = -0*o - x + 383, 5*x + 80 = o. Let v be (o/(-10) - -6)*4/(-7). Factor 4125*c**2 - 4129*c**v - 4*c + 0 + 0.
-4*c*(c + 1)
Let u be (-750)/(-250) + ((-3 - 0) + 22)/(-7). Let w(f) = -f**2 + 1. Let i be w(1). Let u*s**2 + i - 8/7*s = 0. Calculate s.
0, 4
Let z(l) be the third derivative of -l**7/735 + 3*l**6/28 - 123*l**5/70 - 3425*l**4/84 + 1250*l**3/7 + 4864*l**2. Solve z(o) = 0 for o.
-6, 1, 25
Let -2/5*m**4 + 444/5*m**2 - 2*m**3 - 1592/5*m + 304 = 0. What is m?
-19, 2, 10
Let n(y) be the third derivative of -y**5/330 - 73*y**4/66 - 96*y**3/11 + 25*y**2 + 41. Suppose n(l) = 0. Calculate l.
-144, -2
Let x be (-160)/(-260)*559/172. Determine q, given that 0 + x*q**3 + 8/3*q**2 + 2/3*q**5 - 8/3*q - 8/3*q**4 = 0.
-1, 0, 1, 2
Let p = 244 + -246. Let m(n) = -20*n**3 + 45*n**2 - 55*n + 15. Let k(z) = 9*z**3 - 22*z**2 + 27*z - 8. Let f(c) = p*m(c) - 5*k(c). What is l in f(l) = 0?
1, 2
Let k(o) be the second derivative of -o**6/30 - o**5/4 + 10*o**3/3 + 8*o**2 + 31*o + 1. Find f, given that k(f) = 0.
-4, -2, -1, 2
Suppose -2*d + 1 = j - 5*d, -5 = -5*d. Suppose -4*n - 3*w = -25, -4*n + j*w = -n. Suppose l**n - 3/5*l**5 + 0 + 4/5*l**3 + 0*l - 4/5*l**2 = 0. What is l?
-1, 0, 2/3, 2
Suppose 112 = -10*u - 98. Let r be 69/63 + 2/u. Suppose -25/6*w + r - 3/2*w**2 = 0. What is w?
-3, 2/9
Let d(h) = 2*h**2 + 8*h + 13. Let k be ((-4)/24)/((-4)/16)*-3. Let l be d(k). What is f in -134 + 10*f**3 - l*f**4 + 134 = 0?
0, 2
Suppose m + 15 = -a, a + 17428 - 17379 = -3*m. Factor 2/5*q**a - 28/5*q + 98/5.
2*(q - 7)**2/5
Find b, given that -2/13*b**4 + 4500/13*b - 56/13*b**3 + 7344/13 + 534/13*b**2 = 0.
-34, -3, 12
Let t(l) be the second derivative of -l**7/7 + 99*l**6/40 - 351*l**5/20 + 513*l**4/8 - 243*l**3/2 + 729*l**2/8 - 645*l - 2. Determine o, given that t(o) = 0.
3/8, 3
Suppose u = -1234 + 1238, -4*m = -u - 68. Let -3/2*w**5 + 9/2*w**2 - 57/2*w**3 + 27/2*w**4 + 30*w - m = 0. What is w?
-1, 1, 2, 6
Let x(p) be the first derivative of -3/4*p**4 + 0*p**2 - 7 - 4*p**3 + 0*p. Factor x(q).
-3*q**2*(q + 4)
Suppose -796*y - 71 + 71 = 550*y. Factor 1/6*l**2 - 8/3 + y*l.
(l - 4)*(l + 4)/6
Let d(w) = 204*w - 1836. Let q be d(9). Let z(f) be the first derivative of 1/16*f**4 + 14 - 1/8*f**2 + q*f - 1/20*f**5 + 1/12*f**3. Factor z(k).
-k*(k - 1)**2*(k + 1)/4
Let z(u) be the second derivative of 0 + 3/20*u**5 + 11*u + 0*u**2 + u**4 + 2*u**3. Factor z(l).
3*l*(l + 2)**2
Suppose 83/2*w + 3/2*w**2 - 21 - w**3 = 0. Calculate w.
-6, 1/2, 7
Suppose -152*j - 68 + 396 = -280. Let g = 5 + -1. Factor g - 20*n**2 + 12*n**2 + 4*n + 4*n**4 - j*n.
4*(n - 1)**2*(n + 1)**2
Let m(i) be the first derivative of -i**8/840 + i**7/84 - 7*i**6/180 + i**5/20 + 22*i**3/3 + i - 162. Let d(u) be the third derivative of m(u). Factor d(p).
-2*p*(p - 3)*(p - 1)**2
Let k(t) = 3*t**2 + 186. Let u(c) be the first derivative of -c**3/3 - 92*c + 129. Let y(b) = -6*k(b) - 13*u(b). Let y(q) = 0. What is q?
-4, 4
Let y(r) be the first derivative of 2*r**6/27 + 14*r**5/15 - 13*r**4/18 - 14*r**3/9 + 11*r**2/9 - 3746. Determine z, given that y(z) = 0.
-11, -1, 0, 1/2, 1
Suppose -6 = 23*o - 26*o. Find h, given that -o*h**3 - 4 - 3*h - 4*h**2 - 2*h**2 + 13*h + 15*h**4 - 13*h**4 = 0.
-2, 1
Let u(c) be the first derivative of -10 + 9/2*c**2 + 0*c + 0*c**3 - 1/18*c**4 + 1/270*c**5. Let p(x) be the second derivative of u(x). Solve p(d) = 0.
0, 6
Let -1/2*u**2 + 2419/2 + 1209*u = 0. What is u?
-1, 2419
Let 112/3*z**2 + 52/9*z + 2/9*z**4 - 52/9*z**3 - 338/9 = 0. Calculate z.
-1, 1, 13
Let d(n) be the third derivative of -4*n**7/105 - 31*n**6/20 + 399*n**5/10 - 2995*n**4/12 - 275*n**3 + n**2 + 12*n. What is u in d(u) = 0?
-33, -1/4, 5
Suppose 0 = -5*u - 5*l, -2*u + 24 = 2*u - 4*l. Let w be (-59)/(-19) + 18/(-171). Factor 3*q**2 + q**u + w - 3 - 4*q**2 - 2*q.
q*(q - 2)*(q + 1)
Factor -653*b**2 + 3*b - 38 + 263 + 648*b**2 - 23*b.
-5*(b - 5)*(b + 9)
Let x(q) be the third derivative of 1/450*q**5 - 11/45*q**3 - 2*q**2 + 7*q - 1/18*q**4 + 0. Deter