*z. Factor m(s).
4*(s - 16)**3*(s + 72)/3
Let y(f) be the third derivative of -f**5/20 - 757*f**4/2 - 1146098*f**3 + 2*f**2 + 698. Factor y(g).
-3*(g + 1514)**2
Suppose -19*d + 90 = -14*d. Let w = d - 14. Find g such that -6*g**w - 5*g**2 - 5*g**3 + g**2 + 5*g**4 = 0.
-4, -1, 0
Let q(c) be the third derivative of -1/90*c**5 + 7/72*c**4 + 0*c - 2/9*c**3 - 1/360*c**6 - 2 - c**2. Let q(x) = 0. Calculate x.
-4, 1
Let u(h) be the third derivative of h**5/24 - 2375*h**4/24 + 1128125*h**3/12 - 457*h**2 - 2. Factor u(l).
5*(l - 475)**2/2
Let k(q) be the second derivative of -q**5/240 + 5*q**4/96 + q**3/4 + 73*q**2 - 118*q. Let d(j) be the first derivative of k(j). Factor d(p).
-(p - 6)*(p + 1)/4
Let v(h) be the third derivative of -135*h**8/112 - 66*h**7/7 - 173*h**6/8 - 38*h**5/3 + 125*h**4/6 + 40*h**3 + 734*h**2. Let v(l) = 0. What is l?
-3, -1, -2/3, 4/9
Let t(k) be the third derivative of k**6/780 - 6*k**5/65 + 81*k**4/52 + 10421*k**2. Find l, given that t(l) = 0.
0, 9, 27
Find j such that -32*j**2 + 4*j**5 - 2917*j + 2901*j - 9*j**3 - 3*j**3 - 2 + 2 + 8*j**4 = 0.
-2, -1, 0, 2
Let g(x) be the third derivative of x**7/630 - x**5/15 + 2*x**4/9 - 26*x**2 + 11*x. Suppose g(c) = 0. Calculate c.
-4, 0, 2
Let o be ((-30)/(-320))/(-1)*(-17 + (0 - 3)). Let a(g) be the second derivative of 1/16*g**5 + 15*g - o*g**2 - 25/48*g**4 + 35/24*g**3 + 0. Factor a(t).
5*(t - 3)*(t - 1)**2/4
Let t(i) = i**3 + 4*i + 7*i**3 - 13*i**2 + 3 + i**2 + 6*i. Let a(x) = x**3 + x**2 + 1. Let m = -490 - -493. Let w(y) = m*a(y) - t(y). Factor w(k).
-5*k*(k - 2)*(k - 1)
Suppose 0 = 64*b - 69*b + 20. Let r(a) be the third derivative of -2/3*a**3 - 1/2*a**4 - 13/60*a**5 - 1/20*a**6 + 0 + b*a**2 + 0*a - 1/210*a**7. Factor r(h).
-(h + 1)**2*(h + 2)**2
Let b be (6 + -6)*1/(-2). Let r = 2 + b. Factor -5 + 12*o**r + 4*o**3 + o - 7 + o - 6*o.
4*(o - 1)*(o + 1)*(o + 3)
Let t(s) be the second derivative of s**6/90 + 17*s**5/60 + 5*s**4/4 + 43*s**3/18 + 7*s**2/3 + 470*s. Factor t(f).
(f + 1)**3*(f + 14)/3
Let s be (-2)/(1491/(-315) - (-16)/(-60)). Factor -2/5*m**2 + 0*m + 0 - s*m**4 + m**3.
-m**2*(m - 2)*(2*m - 1)/5
Let g(w) be the second derivative of -w**4/36 - 109*w**3/18 - 404*w**2/3 - 2697*w. Determine y so that g(y) = 0.
-101, -8
Let s(a) be the second derivative of -a**6/30 - 137*a**5/20 - 1541*a**4/4 + 1587*a**3/2 - 277*a. Factor s(z).
-z*(z - 1)*(z + 69)**2
Suppose 5*t = n + 3*n - 5, 0 = -3*t + 4*n - 11. Factor 42*i**2 + 30*i**3 - 42*i**2 - t*i**5 - 25*i**4 - 2*i**5.
-5*i**3*(i - 1)*(i + 6)
Let x(j) be the first derivative of -4*j**3 - 54 + 0*j - 1/2*j**4 + 0*j**2. Determine i, given that x(i) = 0.
-6, 0
Let y be 7 + ((-6)/(-72))/(17/(43860/(-45))). Determine t, given that 50/9 + y*t + 2/9*t**2 = 0.
-5
Let o(q) be the second derivative of q**5/210 - 43*q**4/63 + 251*q**3/63 - 166*q**2/21 - 6400*q. Suppose o(w) = 0. What is w?
1, 2, 83
Let v(k) be the first derivative of -k**4/30 - 76*k**3/9 + 191*k**2/15 - 809. Let v(d) = 0. What is d?
-191, 0, 1
Let b(p) = p**3 + 3*p**2 - 6*p - 5. Let x be b(-4). Let k = x + 21. Solve 183*d**2 + 183*d**2 - 13*d**3 - 147*d**4 - 25*d**3 + k - 180*d - 25*d**3 = 0 for d.
-2, 2/7, 1
Let n(z) = -187*z + 1124. Let f be n(6). Suppose -3*a + 19 = -t, -2*t - 8 - 10 = -f*a. Factor -2*m**3 + 0 + 0*m + 0*m**2 - m**a - 11/3*m**4.
-m**3*(m + 3)*(3*m + 2)/3
Suppose l - 42 = -5*b, -b + 13 + 21 = l. Suppose -l*d = -d. Factor d - 1/2*x**2 - 1/6*x.
-x*(3*x + 1)/6
Factor -258 + 62 - 197 - 71 - 306*b - 136 - 3*b**2.
-3*(b + 2)*(b + 100)
Let m(l) be the first derivative of -17/5*l**3 - 27/10*l**2 + 17 - 21/20*l**4 + 0*l + 3/25*l**5. Factor m(g).
3*g*(g - 9)*(g + 1)**2/5
Suppose -280*b + 585 = -654 + 399. Factor 1/2*g**b - 3*g - 4 + 3/2*g**2.
(g - 2)*(g + 1)*(g + 4)/2
Let v = 477143 - 477139. Suppose 7/4*z - 3/2*z**2 + 1/2*z**v - 1/2 - 1/4*z**3 = 0. What is z?
-2, 1/2, 1
Let k(d) be the third derivative of d**5/330 + 5*d**4/44 + 4*d**3/3 + 1036*d**2. Factor k(x).
2*(x + 4)*(x + 11)/11
Suppose -9*s + 75 = 12. Suppose -s*m - 17 = -45. Factor 5*i**2 + 4*i + 2*i**m + 6*i**2 - 20*i**2 + 3*i**2.
2*i*(i - 1)**2*(i + 2)
Let p(l) = -l**3 - 26*l**2 - 92*l - 16. Let j be p(-4). Let y(u) be the second derivative of 1/12*u**4 + j + 1/12*u**3 + 0*u**2 + 1/40*u**5 - 33*u. Factor y(h).
h*(h + 1)**2/2
Let s be 6*(10 + -21)/11. Let i be 0 + s - 78/(-10). Factor 1/5*g**2 - 2 + i*g.
(g - 1)*(g + 10)/5
Let u(t) = 5*t**2 + 13*t + 14. Let b be u(-2). Let j(v) be the first derivative of 2*v + b*v**3 + 15/2*v**2 + 11/4*v**4 + 3. Factor j(x).
(x + 1)**2*(11*x + 2)
Let z(c) = -21*c**4 - 9*c**3 - 45*c**2 + 9*c + 18. Let t(i) = -i**4 - i**3 - i**2 + i. Let u(s) = -24*t(s) + z(s). Factor u(w).
3*(w - 1)**2*(w + 1)*(w + 6)
Let r be 142/(-8) + 53/(2491/846). Suppose 7/2*h + 13/4 + r*h**2 = 0. Calculate h.
-13, -1
Let f(y) be the third derivative of 0 - 5/96*y**4 + 0*y**3 + 72*y**2 + 1/48*y**5 + y. Factor f(o).
5*o*(o - 1)/4
Let a(p) be the third derivative of p**5/100 - 3*p**4/10 + 2*p**3 + 6*p**2 - 520*p + 1. Solve a(o) = 0.
2, 10
Let h(d) be the first derivative of -15*d**4/28 - 57*d**3/7 - 297*d**2/14 + 243*d/7 + 4255. Solve h(z) = 0.
-9, -3, 3/5
Let d(v) be the third derivative of v**8/2856 - v**7/595 - v**6/255 + 2*v**5/85 - 1249*v**2. Suppose d(n) = 0. What is n?
-2, 0, 2, 3
Let g(s) be the third derivative of 11*s**4/6 - 11*s**3/6 - 8*s**2. Let d be g(10). What is m in -15*m**4 + d*m**2 + 7*m**5 - 2*m**5 - 409*m**2 = 0?
-1, 0, 2
Let o(n) = -n**2 - 10*n + 18. Let f be o(-11). Suppose -s + 24 = 5*z, 2*z + s - 2 - f = 0. Factor -z*a**2 + 28*a - 11*a**2 - 186 + 174.
-4*(a - 1)*(4*a - 3)
Let o(f) be the second derivative of -101*f**5/110 + 49*f**4 - 8640*f**3/11 + 512*f**2/11 + 532*f. Solve o(b) = 0 for b.
2/101, 16
Find x, given that -95732*x**2 + 340 + 44 - 116*x + 95728*x**2 = 0.
-32, 3
Let i = 40 + -39. Let w(s) = 9*s**3 - 2*s**2 + 1. Let v be w(i). Factor -2*u**3 + 8*u**3 - 7*u**5 + 5*u - v*u + 4*u**5.
-3*u*(u - 1)**2*(u + 1)**2
Let x(n) be the third derivative of 0*n + 0 + 0*n**4 + 1/140*n**7 + 171*n**2 + 1/4*n**6 + 0*n**5 + 0*n**3. What is m in x(m) = 0?
-20, 0
Factor -11214295*p**2 - 673*p**3 + 11228643*p**2 - 300 - 763*p**3 - 35780*p.
-4*(p - 5)**2*(359*p + 3)
Let t(g) be the second derivative of -g**5/30 + 5*g**4/12 + 59*g**2/2 - 2*g. Let a(n) be the first derivative of t(n). Solve a(l) = 0 for l.
0, 5
Factor 116 - 1/6*m**2 - 23/3*m.
-(m - 12)*(m + 58)/6
Let h(d) be the second derivative of 0*d**2 + 0 - 21*d + 1/42*d**7 - 1/6*d**3 + 0*d**5 - 1/6*d**4 + 1/15*d**6. Find i such that h(i) = 0.
-1, 0, 1
Suppose 0 = -30*t + 14*t + 64. Let w be (-1)/(-6) + 116/24. Factor m**4 + 8*m + m**w - 8*m**2 - 2*m**t + 9*m**2 + 4 - 5*m**3.
(m - 2)**2*(m + 1)**3
Let s(b) = b**5 + b**4 + b**3 + b - 3. Let h(g) = 8*g**5 + 71*g**4 + 158*g**3 + 132*g**2 + 20*g + 12. Let x = 463 + -459. Let u(p) = x*s(p) + h(p). Factor u(o).
3*o*(o + 2)**3*(4*o + 1)
Let f be (-1 + -7)*((-30)/(-8) - 4). Let p = -107 + 755/7. Determine g so that -6/7 + p*g**f + 6/7*g**3 - 6/7*g = 0.
-1, 1
Suppose 2*b + y - 3 = 0, -19 = -b - 3*y - 5. Let w(f) = f**2 + 1. Let c(g) = -2*g**2 + 2*g + 17 + 6*g**2 + 0 - g**2. Let a(h) = b*c(h) + 5*w(h). Factor a(o).
2*(o - 3)*(o + 2)
Solve -130 + 170*b + 130 + 3*b**2 - 1226*b = 0 for b.
0, 352
Let v(u) be the third derivative of u**7/1785 - 9*u**6/170 + 40*u**5/51 + 768*u**4/17 + 16384*u**3/51 + 305*u**2 + 13*u. Determine c so that v(c) = 0.
-8, -2, 32
Factor 241925*t**2 + 5*t**5 + 95113*t**3 + 1275*t**4 - 78731*t - 11938*t**3 + 318131*t + 79380.
5*(t + 1)**3*(t + 126)**2
Let q = -182 + 197. Solve 1 + 3*n**2 - 7*n**2 - 26 - q - 28*n = 0.
-5, -2
Let w(i) be the third derivative of 63*i**2 + 1/60*i**5 + 0 - 8/3*i**3 - 5/8*i**4 + 0*i. Determine y, given that w(y) = 0.
-1, 16
Solve 0 + 2/5*k**5 - 32/5*k**4 + 216/5*k - 72*k**2 + 174/5*k**3 = 0.
0, 1, 3, 6
Factor -189*m - 3/2*m**2 + 780.
-3*(m - 4)*(m + 130)/2
Let c = 337 - 340. Let i be 3/2 + 2/1 + c. Determine y, given that 0 - 1/4*y**2 + i*y - 1/4*y**3 = 0.
-2, 0, 1
Let v(z) be the second derivative of -17*z**5/60 - 175*z**4/24 + 101*z**3/12 - 4*z**2/3 + 1711*z. Let v(j) = 0. Calculate j.
-16, 1/17, 1/2
Let b(q) = q**3 - 9*q**2 - q + 11. Let w be b(9). Suppose -25 + 28 = 23*z + 3. Let z*c - 2/5*c**4 - 2/5*c**5 + 0*c**w + 12/5*c**3 + 0 = 0. What is c?
-3, 