94 = -19. Suppose -10*c = -5 - w. Factor -1125 - 9*r**2 + 12*r**c - 150*r - 8*r**2.
-5*(r + 15)**2
Let f = 107999 + -107995. Factor r**2 + 2/5*r**3 - 1/5*r**f - 6/5*r + 0.
-r*(r - 3)*(r - 1)*(r + 2)/5
Let w(z) be the first derivative of z**5/20 + z**4/16 - z**3/12 - z**2/8 + 1087. Factor w(x).
x*(x - 1)*(x + 1)**2/4
Let g(x) be the third derivative of 0*x**5 + 21*x + 0 + 0*x**7 - 1/180*x**6 + 1/1008*x**8 + 1/72*x**4 - 2*x**2 + 0*x**3. What is a in g(a) = 0?
-1, 0, 1
Let z(g) be the first derivative of g**6/9 - 29*g**5/90 - 22*g**4/27 - 4*g**3/9 - 91*g + 111. Let n(u) be the first derivative of z(u). What is s in n(s) = 0?
-2/3, -2/5, 0, 3
Let x(y) = y**3 - y**2. Let i(d) = 18*d + 1581*d**4 - 33*d**2 + 9*d**3 + 3*d**2 - 1578*d**4. Let s(h) = i(h) - 9*x(h). Factor s(v).
3*v*(v - 2)*(v - 1)*(v + 3)
Let l(g) be the third derivative of 7/120*g**5 - 1/672*g**8 - 1/24*g**4 + g**2 - 3/80*g**6 + 1/84*g**7 + 17 + 0*g**3 + 0*g. Suppose l(m) = 0. Calculate m.
0, 1, 2
Let g(v) be the second derivative of 1/24*v**3 + 7/16*v**4 - 1/20*v**6 + 11/80*v**5 - 41*v + 0 - 3/8*v**2. What is u in g(u) = 0?
-1, -1/2, 1/3, 3
Factor 10/11*n**2 - 36/11*n + 2/11*n**3 - 144/11.
2*(n - 4)*(n + 3)*(n + 6)/11
Factor 328/9*r**3 + 700928/9 + 2/9*r**4 + 194176/9*r + 5272/3*r**2.
2*(r + 8)**2*(r + 74)**2/9
Let i(y) = 2*y**2 - 7*y + 21. Let b be i(3). Solve -5*a**3 + 4*a**3 - 3*a**2 + 4*a**3 - b*a = 0 for a.
-2, 0, 3
Let s = -73976/5 + 813826/55. Factor -104/11 - 2/11*u**3 - s*u**2 + 96/11*u.
-2*(u - 2)**2*(u + 13)/11
Let o be 3692/91 - (-5 + 78/14). Let j be 2/4*(o - 38)*0. Factor 0*i**2 + 4/11*i**3 - 2/11*i + 0 - 2/11*i**5 + j*i**4.
-2*i*(i - 1)**2*(i + 1)**2/11
Let u be 924/(1645/35 - 37). Find c, given that -1/5*c**4 - 484*c - u*c**2 - 36/5*c**3 - 3993/5 = 0.
-11, -3
Factor 24/7*o - 22/21*o**3 + 0 - 8/7*o**2 + 2/21*o**5 + 4/21*o**4.
2*o*(o - 2)**2*(o + 3)**2/21
Determine h so that 4*h**3 - 1141 + 4540*h - 262 - 2276*h**2 - 1046 + 181 = 0.
1, 567
Let p(f) be the third derivative of -f**7/42 + 32*f**5 - 2560*f**4/3 + 10240*f**3 - 2404*f**2. What is t in p(t) = 0?
-24, 8
Let b(y) = -8 + 21*y - 47*y + 27*y. Let p be b(11). Let g(w) = -w**2 - 19*w + 16. Let f(a) = 18*a - 15. Let q(s) = p*g(s) + 4*f(s). Factor q(l).
-3*(l - 4)*(l - 1)
Let o(s) be the first derivative of s**3 + 24*s**2 + 117*s + 2186. Find g such that o(g) = 0.
-13, -3
Let i(b) be the second derivative of -68*b - 1/27*b**3 + 1 + 0*b**2 + 1/54*b**4. Factor i(f).
2*f*(f - 1)/9
Let k be 12/4 + (3 - 1). Let o = 472063/367171 + 2/52453. Determine l so that -o*l**4 + 78/7*l**3 + 12*l**2 + 24/7*l - 27/7*l**k + 0 = 0.
-1, -2/3, 0, 2
Let d(q) be the first derivative of q**4/14 + 4*q**3/3 - 5*q**2 - 96*q/7 + 956. Factor d(z).
2*(z - 3)*(z + 1)*(z + 16)/7
Suppose 0 = x - 89 + 87. Suppose -3*d + x*k - 19 = -17, 4*d + 4 = 3*k. Factor 0*y**3 + 1/7*y**d - 1/7*y**4 + 0 + 0*y.
-y**2*(y - 1)*(y + 1)/7
Let k be 3088/1365 - (-1)/7. Let y = -1/195 + k. Factor -2/5*o**5 - y*o**3 + 8/5*o**2 + 0 + 8/5*o**4 - 2/5*o.
-2*o*(o - 1)**4/5
Let b = 478 + -476. Factor 5*f**4 + 1918*f + 30 - 35*f**3 - 680*f - 689*f - 634*f + 85*f**b.
5*(f - 3)*(f - 2)*(f - 1)**2
Let y(j) be the third derivative of -j**6/600 - 7*j**5/300 - j**4/12 - 1336*j**2. Factor y(u).
-u*(u + 2)*(u + 5)/5
Let u(g) be the first derivative of -g**4/10 - 2*g**3/3 + 165*g**2 - 3150*g + 9293. Factor u(a).
-2*(a - 15)**2*(a + 35)/5
Let v(t) be the second derivative of -t**9/4032 + 3*t**8/320 + 101*t**3/6 + 3*t + 23. Let r(y) be the second derivative of v(y). Factor r(c).
-3*c**4*(c - 21)/4
Let b(f) be the third derivative of f**8/168 - 62*f**7/147 - 2789*f**6/420 - 674*f**5/105 + 4705*f**4/21 - 5200*f**3/21 - 8288*f**2. Let b(v) = 0. Calculate v.
-5, 2/7, 2, 52
Let v = 40 - -30. Let u = v + -67. Factor 20*h**3 + h + 15*h + u*h**4 + 32*h**2 + h**4.
4*h*(h + 1)*(h + 2)**2
Factor 11224322/7 - 9476/7*m + 2/7*m**2.
2*(m - 2369)**2/7
Let l = -9378 - -9386. Let g(q) be the second derivative of 0 - 1/48*q**4 + l*q + 1/80*q**5 - 1/24*q**3 + 1/8*q**2. Factor g(v).
(v - 1)**2*(v + 1)/4
Let k be 2/6 - (-56)/21. Factor -2*o**2 + 126*o - o**4 - 58*o - 68*o + k*o**3.
-o**2*(o - 2)*(o - 1)
Let a(p) be the first derivative of p**5/110 - 4*p**4/33 - 3*p**3/11 - 14*p + 15. Let r(o) be the first derivative of a(o). Factor r(b).
2*b*(b - 9)*(b + 1)/11
Let x(d) be the third derivative of -d**8/288 + d**7/140 + 11*d**6/240 + 11*d**5/360 - d**4/24 + d**2 - 2*d + 1793. Suppose x(h) = 0. Calculate h.
-1, 0, 2/7, 3
Factor 117/4*d + 6 + 93/4*d**2.
3*(d + 1)*(31*d + 8)/4
Let j be -36 + 28 - (-970)/120. Let l(n) be the second derivative of -18*n - 2 - 3*n**3 + j*n**4 + 81/2*n**2. Factor l(c).
(c - 9)**2
Let m(v) be the first derivative of 3*v**5 - 141*v**4/4 + 85*v**3 - 3*v**2/2 - 126*v + 1361. Let m(c) = 0. Calculate c.
-3/5, 1, 2, 7
Let l(p) = p**3 + 440*p**2 - 12*p - 8. Let n(v) = 3*v**3 + 880*v**2 - 21*v - 14. Let f(a) = -7*l(a) + 4*n(a). Factor f(m).
5*m**2*(m + 88)
Let n(u) = -4*u**2 - 45*u - 122. Let h be n(-6). Let j(a) be the second derivative of 0*a**2 + 0 - 1/4*a**3 - 1/24*a**h - a. Factor j(b).
-b*(b + 3)/2
Let f(k) be the first derivative of 62/5*k**2 - 32/15*k**3 - 1/5*k**4 - 87 - 88/5*k. Factor f(t).
-4*(t - 2)*(t - 1)*(t + 11)/5
Let n(v) be the first derivative of -3*v**4/4 + 23*v**3 + 3*v**2/2 - 69*v - 957. Solve n(l) = 0 for l.
-1, 1, 23
Suppose 0 + 1/9*y**2 - 26/9*y = 0. What is y?
0, 26
Let m(y) be the third derivative of y**7/350 + 39*y**6/200 - 81*y**5/100 + 41*y**4/40 + 4*y**2 + 27*y. Factor m(z).
3*z*(z - 1)**2*(z + 41)/5
Let l = -305 + 340. Solve 105*k + l*k**2 + k**2 - 10*k + 32 + 57*k = 0.
-4, -2/9
Let h(a) be the first derivative of -1/3*a**3 - 20 - 1/2*a**2 + a. Let f(m) = -17*m**2 - 23*m - 10. Let g(t) = -f(t) - 4*h(t). What is z in g(z) = 0?
-1, -2/7
Let d = 49 + -49. Suppose -8 = 2*v + 3*p, d*p - 18 = v + 5*p. Find w such that -6*w**4 + v*w**5 + 14*w**2 - 16*w**3 + 14*w**3 + 0 - 8 = 0.
-1, 1, 2
Let y(z) = 24*z + 48. Let s be y(4). Let -147*b**4 - s*b**4 + 26*b**3 + 285*b**4 + 20*b**2 = 0. What is b?
-2/3, 0, 5
Let a(u) be the second derivative of u**5/120 - u**4/4 + 11*u**3/12 - 4*u**2/3 + 9*u + 73. Determine i, given that a(i) = 0.
1, 16
Suppose q - 10 = 2*j + 3*j, 4*j + 9 = q. Suppose -q*r + 7 = 4*k, -r + 7 = 3*k + r. Factor 20*o + 4 + 4*o**k + 0 - 10*o**2 - 18*o.
2*(o - 2)*(o - 1)*(2*o + 1)
Let n be 30/(-24)*152/(-665) - (-19)/7. Factor -x**n - 21/2*x**2 + 5 - 9/2*x.
-(x + 1)*(x + 10)*(2*x - 1)/2
Suppose -1296 - 2486 = 31*u. Let y = u - -622/5. Factor y - 2*v + 2/5*v**2.
2*(v - 3)*(v - 2)/5
Factor -2/7*g**3 + 174/7*g**2 - 508/7*g + 48.
-2*(g - 84)*(g - 2)*(g - 1)/7
Suppose -3*n + 43 - 14 = 5*t, 4*t - 16 = 0. Let s(p) be the first derivative of 1/36*p**6 + 1/4*p**2 - 14 + 0*p + 1/5*p**5 + 5/9*p**n + 1/2*p**4. Factor s(u).
u*(u + 1)**3*(u + 3)/6
Let w(t) = 4*t**2 - 293*t - 318. Let y(d) = 7*d**2 - 594*d - 636. Let n(m) = -5*w(m) + 3*y(m). Factor n(h).
(h - 318)*(h + 1)
Suppose -3511 = 9*i - 793. Let w = i + 306. Factor -10/9*n**w - 2/3*n**2 + 2/9*n**5 + 0*n + 0 + 14/9*n**3.
2*n**2*(n - 3)*(n - 1)**2/9
Let p be 110/18 - 11/99 - 4. Find d such that 2*d + 3 - 50*d**p + 98*d**2 + 2*d - 47*d**2 = 0.
-3, -1
Let z(v) be the second derivative of -1/6*v**4 + 0 + 0*v**2 - 77*v - 4/3*v**3. Suppose z(i) = 0. What is i?
-4, 0
Let p(d) = 5*d**3 + 12*d**2 + 99*d + 9. Let x(q) = -8*q**3 - 20*q**2 - 148*q - 14. Let t(m) = 14*p(m) + 9*x(m). Factor t(z).
-2*z*(z - 3)*(z + 9)
Let p(s) = -s**3 + s**2 + 2*s - 2. Let u(w) = -w**2 + 1. Let h = 41 + -35. Suppose -1 = -h*j - 7. Let z(c) = j*p(c) - 2*u(c). Solve z(x) = 0.
-2, 0, 1
Let r(v) = 289*v + 291. Let s be r(-1). Let p(u) be the second derivative of -1/18*u**3 + 21*u - 1/36*u**4 + 0 + 1/6*u**s + 1/60*u**5. Let p(h) = 0. What is h?
-1, 1
Let r(k) be the first derivative of -21*k**3/5 + 11*k**2/10 + 74*k/5 - 3006. Factor r(l).
-(l + 1)*(63*l - 74)/5
Let y be 2540/6 - 56/(-84). Let i = y - 2964/7. Suppose 12/7*o**3 - i*o**5 + 0 + 4/7*o**2 - 8/7*o - 4/7*o**4 = 0. What is o?
-2, -1, 0, 1
Find a, given that -95*a - 329247*a**2 - 320 - 5*a + 329242*a**2 = 0.
-16, -4
Let t be 1 + -9 - 21*(-6)/15. Let -t*r**2 + 44/5*r - 16 = 0. Calculate r.
2, 20
Let x(y) be the third derivative of y**8/4032 - y**7/84 - 7*y**5/60 + y**4/8 - 52*y**2. Let j(o) be the third d