d n, given that v(n) = 0.
-19, -1/4, 0
Let s(q) = 2*q + q - 53 - 52 + 78. Let m be s(10). Factor 7*n + 6 - 17*n + n**m + 2*n**2 + n**3.
2*(n - 1)**2*(n + 3)
Suppose -73*m - 192 - 55*m - 4*m**5 - 988*m**4 + 48*m**3 + 128*m**2 + 968*m**4 = 0. What is m?
-6, -2, -1, 2
Let f(z) be the second derivative of z**5/100 - z**4/5 + 9*z**3/10 + 4*z**2 - 3200*z + 2. Factor f(k).
(k - 8)*(k - 5)*(k + 1)/5
Let f(x) = -x**3 - 33*x**2 - 714*x - 16072. Let u be f(-28). Factor 0*a + u*a**3 + 0*a**2 + 22/3*a**4 + 0 + 2/3*a**5.
2*a**4*(a + 11)/3
Let n(r) be the first derivative of -1/5*r**5 - r**2 + 66 + 1/2*r**4 + r + 0*r**3. Factor n(l).
-(l - 1)**3*(l + 1)
Factor -4*j**2 - 1475*j + 419*j - 1364*j - 2416.
-4*(j + 1)*(j + 604)
Let k(f) be the first derivative of 4*f**5/25 + 17*f**4/10 - 4*f**3/3 - 9*f**2/5 + 274. What is w in k(w) = 0?
-9, -1/2, 0, 1
Let j(l) be the first derivative of -3*l**5/5 + 207*l**4/4 - 1489*l**3 + 29493*l**2/2 - 25230*l + 1113. Determine a so that j(a) = 0.
1, 10, 29
Let a(t) be the third derivative of 0*t + 5/36*t**4 - 1/270*t**5 + 25*t**2 + 0 + 0*t**3. Factor a(j).
-2*j*(j - 15)/9
Let d(o) = -25*o**2 - 19*o + 86. Let m(r) = -5*r**2 - r - 1. Let g(y) = -38*y + 189. Let b be g(5). Let f(x) = b*d(x) + 4*m(x). Factor f(q).
5*(q - 3)*(q + 6)
Let r(d) be the second derivative of -3*d**5/55 + 13*d**4/66 - 2*d**3/33 - 5*d + 53. Let r(q) = 0. Calculate q.
0, 1/6, 2
Let w(s) = -500*s - 3498. Let v be w(-7). Let f(g) be the first derivative of 8/9*g - 4/9*g**v + 2/27*g**3 - 9. Factor f(i).
2*(i - 2)**2/9
Let l be 4 + (-2 + 0 + 0 - -1). Suppose l*h**2 - 8*h**2 - 1285 + 305 - 140*h = 0. Calculate h.
-14
Let q be (5649/567 - 10)/(3/((-9)/2)). Let a(b) be the second derivative of 14*b - 1/135*b**6 + q*b**5 + 7/27*b**3 + 0 - 1/6*b**4 - 2/9*b**2. Factor a(g).
-2*(g - 2)*(g - 1)**3/9
Let g(k) be the third derivative of k**5/90 + 7*k**4/18 + 13*k**3/9 + 178*k**2 - 2*k. Factor g(p).
2*(p + 1)*(p + 13)/3
Suppose 58051*r - 58062*r = -44. Let k(g) be the second derivative of 1/20*g**5 - 10*g + 1/12*g**r + 0 + 0*g**3 + 0*g**2 - 1/30*g**6 - 1/42*g**7. Factor k(y).
-y**2*(y - 1)*(y + 1)**2
Let a(t) = 3*t**3 - 5*t**2 + 32*t - 5. Let q(p) = -10*p**3 + 22*p**2 - 96*p + 16. Let w(k) = 16*a(k) + 5*q(k). Factor w(z).
-2*z*(z - 16)*(z + 1)
Let p(z) be the second derivative of -3*z**5/40 + z**4/24 + 49*z**3/4 - 49*z**2/4 - 1981*z. Factor p(l).
-(l - 7)*(l + 7)*(3*l - 1)/2
Let g(i) = -i**2 + i + 4. Let n be 18/(-12)*1/(3/(-2)). Let r(f) = 2*f**2 + 17*f + 13. Let z(d) = n*r(d) + g(d). What is a in z(a) = 0?
-17, -1
Let g = 287/65 + -34/13. Suppose 3425*h - 96 = 3393*h. What is i in 12/5*i + 6/5*i**2 - 12/5*i**h + 3/5*i**4 - g = 0?
-1, 1, 3
Factor 0 - 128*k + 1/3*k**2.
k*(k - 384)/3
Let x be -2 + 955/(-120) - -10. Let z(i) be the first derivative of 1/2*i**3 + 7/16*i**4 - x*i**6 + 0*i + 0*i**2 + 0*i**5 + 14. Find w, given that z(w) = 0.
-2, -1, 0, 3
Suppose -5*v + 0*x = x - 46, -3*v = 3*x - 30. Let r = v + -5. Factor 11*s + 3*s - r*s**3 - 12*s**2 + 4*s**4 + 6*s - 8 + 0*s.
4*(s - 1)**3*(s + 2)
Factor -76/17*h**4 + 2/17*h**5 - 496/17*h**2 - 324/17*h**3 - 334/17*h - 84/17.
2*(h - 42)*(h + 1)**4/17
Let l(d) be the first derivative of -5*d**3/3 - 475*d**2 - 45125*d - 845. Factor l(a).
-5*(a + 95)**2
Let p be 0/(15*22/165). Factor p*t + 3/8*t**3 + 0 + 3/8*t**4 + 1/8*t**2 + 1/8*t**5.
t**2*(t + 1)**3/8
Let p(g) = g**2 + 657*g + 24105. Let f be p(-39). Solve 26/5*s**2 - 2/5*s**5 - 2*s**4 + 4/5*s - 16/5 - 2/5*s**f = 0 for s.
-4, -2, -1, 1
Let -600/13*t + 0*t**2 + 4000/13 + 2/13*t**3 = 0. Calculate t.
-20, 10
Let o(g) be the third derivative of g**8/3360 - g**7/210 + g**6/40 + 5*g**4/3 + 19*g**2. Let t(f) be the second derivative of o(f). Factor t(x).
2*x*(x - 3)**2
Let q(m) = -27*m**2 + 99*m - 27. Let c = 169 - 154. Let g(f) = -7*f**2 + 25*f - 6. Let p(j) = c*g(j) - 4*q(j). Suppose p(u) = 0. What is u?
1, 6
Let t = 83805 - 83801. Let 28/3*z + 1/3*z**5 + 38/3*z**2 + 8/3 + 8/3*z**t + 25/3*z**3 = 0. Calculate z.
-2, -1
Let y(h) be the third derivative of -1/112*h**8 + 0*h + 0*h**3 + 93*h**2 + 0*h**5 + 0*h**4 + 1 - 6/35*h**7 + 0*h**6. Solve y(x) = 0 for x.
-12, 0
Let g(v) be the second derivative of -v**4/18 - 109*v**3/9 - 36*v**2 - 3*v + 1. Suppose g(f) = 0. What is f?
-108, -1
Suppose -4*b = 3*v + 2*v - 56, 3*v - b = 20. Suppose -5*g + v = -7. Find o such that 6*o**3 - 6*o**3 + 4 - 2*o**g + 6*o = 0.
-1, 2
Let s(u) = -u**2 - u. Let m(r) = -9*r**2 + 6*r - 9. Suppose 0 = 4*g - 31 + 43. Let t = -9 - g. Let p(c) = t*s(c) + m(c). Let p(f) = 0. Calculate f.
1, 3
Factor 0 - 15*z**2 - 3/4*z**3 - 72*z.
-3*z*(z + 8)*(z + 12)/4
Let i(o) = o**2 + 2*o - 308. Let u be i(-35). Let j = -847 + u. Suppose -5/4*d**2 + j - 5/2*d = 0. What is d?
-2, 0
Let h be (-18)/(-4)*66/99. Let f(v) be the third derivative of 12*v**2 + 0*v**h + 1/45*v**5 + 0*v + 0 + 0*v**4 - 1/90*v**6. Factor f(k).
-4*k**2*(k - 1)/3
Determine s so that -308/5*s**2 + 1196*s + 4/5*s**3 - 34476/5 = 0.
13, 51
Let x(i) be the first derivative of -2*i**7/21 - 16*i**6/15 - 7*i**5/5 + 259*i - 138. Let m(c) be the first derivative of x(c). Factor m(b).
-4*b**3*(b + 1)*(b + 7)
Let z(c) be the second derivative of -c**5/4 - 50*c**4/3 - 465*c**3/2 + 1870*c. Determine y, given that z(y) = 0.
-31, -9, 0
Let v(a) be the first derivative of 1/20*a**5 + 5/2*a**2 + 1/4*a**4 - 11*a - 20 - 3/2*a**3. Let h(j) be the first derivative of v(j). Factor h(s).
(s - 1)**2*(s + 5)
Suppose 3*j - d - 11 = 0, 82 = -5*d + 72. Solve 5/4*b**2 + 0 + 1/2*b + b**j + 1/4*b**4 = 0.
-2, -1, 0
Let h be (-69)/(-1380)*44*5/2. Factor 19/2*w**2 - 9/2*w - h*w**3 + 0 + 1/2*w**4.
w*(w - 9)*(w - 1)**2/2
Let s(o) be the first derivative of -3*o**2 - 11/2*o**6 - 27/5*o**5 + 9*o**3 + 0*o - 314 + 39/4*o**4. Determine d so that s(d) = 0.
-1, 0, 2/11, 1
Let u(z) = -z**3 - 4*z**2 + 9*z - 15. Suppose -72 = 8*p - 24. Let r be u(p). Let 5*c**r + 4*c**3 - c**5 - 8*c**3 = 0. Calculate c.
-1, 0, 1
Let k be (-3)/(1*3/(-4)). Let l be (0/(-2))/(40 + -38). Factor k*n**3 + 30*n**2 - 31*n**2 - 6*n - n**4 + l*n**3.
-n*(n - 3)*(n - 2)*(n + 1)
Let s(q) be the second derivative of -q**5/15 + 2*q**3/3 + 31*q**2/2 + 23*q - 1. Let x(v) be the first derivative of s(v). Let x(p) = 0. Calculate p.
-1, 1
Solve 1/6*k**2 + 2*k - 63/2 = 0 for k.
-21, 9
Let x be 8*10/84 + 8/(-28). Suppose 37*k = 50*k - 21*k + 16. Determine j so that 10/9*j**3 - x*j**k - 2/9*j**4 + 8/9 - 10/9*j = 0.
-1, 1, 4
Let f = 7589/2 - 3793. Let v = 4 + -2. Suppose 0 - 3/4*g**v + f*g = 0. What is g?
0, 2
Let x(g) be the third derivative of g**7/1120 + g**6/360 - g**5/120 + 13*g**3 - 126*g**2. Let u(p) be the first derivative of x(p). Factor u(s).
s*(s + 2)*(3*s - 2)/4
Let q(w) be the first derivative of -w**6/480 + 13*w**5/32 - 39*w**3 + 275. Let f(u) be the third derivative of q(u). Factor f(k).
-3*k*(k - 65)/4
Factor 0*l**4 - 80*l**3 + 110*l**2 + 51 + 4*l**4 - l**4 + 440*l + 204 - 8*l**4.
-5*(l - 3)*(l + 1)**2*(l + 17)
Let d be (-6)/2 + (32 - 25). Suppose 3*u + u = -2*k + 18, 0 = 2*u + d*k - 18. Factor 12*v + 11*v + 2*v**u - 15*v - 8*v**2.
2*v*(v - 2)**2
Let h be -23 - -33 - (-56)/(-6). Let m(f) be the first derivative of h*f**3 + 15 + 1/6*f**4 - 8/3*f + 0*f**2. Solve m(k) = 0 for k.
-2, 1
Find i such that -12*i + 10*i**3 + 0 + 11/2*i**2 - 7/2*i**4 = 0.
-8/7, 0, 1, 3
Let d(c) be the first derivative of -c**4/7 + 136*c**3/21 - 398*c**2/7 + 1080*c/7 - 2212. Factor d(r).
-4*(r - 27)*(r - 5)*(r - 2)/7
Factor -45*v**2 - 1928*v + 993*v + 30 + 1154*v.
-3*(v - 5)*(15*v + 2)
Let o(y) be the first derivative of -7*y**6/18 - 1304*y**5/15 - 20305*y**4/4 - 1922*y**3 - 9618. Factor o(k).
-k**2*(k + 93)**2*(7*k + 2)/3
Let s be (-1271)/(-820) - (-5)/(-4). Let y(i) be the first derivative of 0*i**2 - i**3 + 9/8*i**4 + 0*i - s*i**5 - 23. Factor y(d).
-3*d**2*(d - 2)*(d - 1)/2
Let m(z) be the first derivative of 92 - 4/3*z**3 + 11/4*z**2 + 1/8*z**4 + 10*z. Find d, given that m(d) = 0.
-1, 4, 5
Let f(h) = -3*h**3 + 210*h**2 - 463*h - 692. Let t(r) = -r**3 + 69*r**2 - 155*r - 231. Let m(b) = -3*f(b) + 8*t(b). Factor m(x).
(x - 76)*(x - 3)*(x + 1)
Let t(b) = -15*b + 63. Let m be t(4). Suppose 17 - 22 = 5*y - 5*q, 3*y - 15 = -m*q. Factor 198*l + 726 + 6/11*l**3 + 18*l**y.
6*(l + 11)**3/11
Let j(q) be the second derivative of q**4/4 + 181*q**3 + 98283*q**2/2 + 32