1)/3
Let b = -797 - -813. Solve 1046*z + b*z**3 - 2103*z - 4*z**4 + 1041*z + 4*z**2 = 0 for z.
-1, 0, 1, 4
Let z(j) be the first derivative of -j**4 + 4*j**3 + 116*j**2 + 480*j - 1275. Factor z(a).
-4*(a - 10)*(a + 3)*(a + 4)
Let w(s) be the first derivative of -4*s**5/5 + 10*s**4 - 116*s**3/3 + 16*s**2 + 192*s + 158. Factor w(r).
-4*(r - 4)**2*(r - 3)*(r + 1)
Let d be (-8 + 8 + -4)*((-69)/(-36) - 2). Let -4/3*n**2 - d*n**3 + 0 - n = 0. Calculate n.
-3, -1, 0
Let s(o) = -23*o**2 - 54*o - 3. Let h be s(-5). Let l be 56/(-42)*21/h. Solve 1/11*u**3 - 4/11*u**2 - 4/11*u + l*u**4 + 0 = 0.
-2, -1, 0, 2
Let k(a) be the third derivative of -a**6/1800 - a**5/25 - 6*a**4/5 + a**3 - 22*a**2. Let s(m) be the first derivative of k(m). Solve s(h) = 0 for h.
-12
Let z = -5792 + 2148830/371. Let d = z + 2974/1113. Let 0 + 7/3*u**3 - 4/3*u + 5/3*u**4 - d*u**2 = 0. What is u?
-2, -2/5, 0, 1
Suppose 25 = -2*p + 1, 0 = -3*g - 8*p - 87. Factor 16/23 - 28/23*r - 10/23*r**2 + 4/23*r**g.
2*(r - 4)*(r + 2)*(2*r - 1)/23
Suppose 0 = 2*v - 14*i - 144, -3*i = 13*v - 12*v + 28. Determine r so that 22/3 - 20/3*r - 2/3*r**v = 0.
-11, 1
Let h(q) be the first derivative of q**7/4200 - q**6/100 + 27*q**5/200 + 61*q**3 + 241. Let a(k) be the third derivative of h(k). Find w, given that a(w) = 0.
0, 9
Let u(f) be the third derivative of -f**6/160 - 13*f**5/80 + f**4/32 + 13*f**3/8 - 669*f**2. Suppose u(s) = 0. Calculate s.
-13, -1, 1
Suppose -3456*b**2 - 3*b**3 + 3364*b**2 - 2*b**5 + 8*b**4 + 4*b**3 + 18*b**3 - 126*b + 180 + 13*b**3 = 0. What is b?
-3, -2, 1, 3, 5
Let c(t) = 13*t**5 + t**4 + t**3 + t. Let p(j) = 196*j**5 - 10*j**4 - 40*j**3 + 25*j**2 + 69*j. Let w(s) = -30*c(s) + 2*p(s). Suppose w(q) = 0. Calculate q.
-2, -1, 0, 1, 27
Suppose 5*g + 3*a = 201, -2*g + 84 = 3*a - 0*a. Let f = g + -21. Factor -5*r**2 - 16*r**4 + 5*r**5 + f*r**3 + r**4 - 3*r**3.
5*r**2*(r - 1)**3
Let k = 15200 + -15198. Factor 4*w**k - 1/2*w**4 + 3*w - 3*w**3 - 7/2.
-(w - 1)**2*(w + 1)*(w + 7)/2
Let q(v) = 3*v**3 + 163*v**2 - 329*v + 161. Let l(s) = 17*s**3 + 814*s**2 - 1646*s + 804. Let i(r) = -2*l(r) + 11*q(r). Find f, given that i(f) = 0.
1, 163
Let u = 831 - 830. Let i(w) = 4*w**2 + 2*w - 6. Let r(p) = p**2 - 1 - p + 0*p**2 + 2*p. Let a(m) = u*i(m) - 6*r(m). Suppose a(t) = 0. Calculate t.
-2, 0
Let w(h) = 2*h**2 + 1110*h + 40. Let l(n) = 5. Let u(k) = 8*l(k) - w(k). Factor u(x).
-2*x*(x + 555)
Let m be (-126)/290 - (-18)/45. Let z = 353/145 + m. Determine j, given that -3/5*j**4 - 3*j**2 + 0 - z*j**3 - 6/5*j = 0.
-2, -1, 0
Suppose -4*s = 2*b + 148 - 172, -12 = 4*s - b. Let o be ((-2)/(-4))/(2/12). Factor 0*x + s + 4/11*x**2 - 2/11*x**o.
-2*x**2*(x - 2)/11
Let 37/9*w + 62/3 + 1/9*w**2 = 0. What is w?
-31, -6
Let f = 25/36651 - -207664/36651. Suppose f - 3/2*t**4 + 63/2*t + 215/6*t**2 - 47/2*t**3 = 0. What is t?
-17, -1/3, 2
Suppose -5*a + 19 = 3*l, -4*l + 6*a = a + 33. Let w be 3 - (1/(-2))/(l/(-8)). Let 3*s - 3*s**3 + 0 - w*s**2 - 12*s**2 + 14*s**2 + 3 = 0. Calculate s.
-1, 1
Let c(f) be the second derivative of -1/100*f**5 - 1 - 2/5*f**2 - 10*f + 1/20*f**4 + 0*f**3. Solve c(p) = 0 for p.
-1, 2
Let s = -65 - -68. Suppose -3*i + s*n + 117 - 24 = 0, -5*i = -2*n - 146. Let -7*m**4 - i*m + 0*m**2 + 28*m**3 + 11*m**4 - 4*m**2 = 0. Calculate m.
-7, -1, 0, 1
Factor -124*l**5 - 3*l**2 - 2*l**2 + 942 - l**2 - 123*l**5 + 250*l**5 - 936*l**4 - 1884*l**3 + 1881*l.
3*(l - 314)*(l - 1)*(l + 1)**3
Let t be (28/20)/(1/5) - -3. Suppose 46*c - 48*c = -t. Let -106*b**2 + 18 - 337*b**3 - 15*b**c + 121*b**3 + 39*b - 62*b**4 - 42*b**4 = 0. Calculate b.
-3, -1, -1/3, 2/5
Suppose 0 = 219*w - 209*w - 50. Let f(r) be the first derivative of 3/20*r**4 + 23 + 0*r - 3/10*r**2 + 1/5*r**3 - 3/25*r**w. Factor f(y).
-3*y*(y - 1)**2*(y + 1)/5
Let i be (10/(-45) - 6/(-27))/1. Let u(o) be the second derivative of 0*o**2 + 3/20*o**5 + 0 + i*o**3 - 6*o + 0*o**4. Solve u(s) = 0.
0
Let g(f) be the second derivative of -21/2*f**2 - 2 + 17*f - 5/12*f**5 - 145/36*f**4 + 67/6*f**3. Suppose g(o) = 0. What is o?
-7, 3/5
Suppose -7*c + 2*c + 55 = 0. Factor -c*l + 246*l - 4*l**2 - 127*l.
-4*l*(l - 27)
Let w(r) be the first derivative of -1/15*r**2 - 171 + 1/30*r**4 - 4/3*r + 4/9*r**3. Factor w(u).
2*(u - 1)*(u + 1)*(u + 10)/15
Let w(v) = 4*v + 26. Suppose s + 2*i + 3 = 5, 0 = 5*s - 4*i + 46. Let d be w(s). Factor 1 - 1/2*n - 1/2*n**d.
-(n - 1)*(n + 2)/2
Let r(q) = q**2 + 4763*q + 19039. Let l be r(-4). Determine d, given that -1/6 + 1/2*d**4 + 2/3*d**l - 1/3*d**2 - 2/3*d = 0.
-1, -1/3, 1
Let k(w) be the first derivative of -58 + 5*w**2 - 12*w + 2/3*w**3. Factor k(q).
2*(q - 1)*(q + 6)
Let n be (40 - 34) + -1 + 3 + -6. Let w(j) be the first derivative of -5*j**3 - 5*j**n - 5/4*j**4 + 0*j + 4. Let w(o) = 0. Calculate o.
-2, -1, 0
Let s(u) be the second derivative of 27*u**6/125 + 14526*u**5/125 + 651249*u**4/25 + 77860436*u**3/25 + 5236114321*u**2/25 - 103*u + 1. Let s(d) = 0. What is d?
-269/3
Let w be (-6 + 155/25)/(1/15). Find f such that 15*f**2 + f - f + 12*f**w - f + 3*f**4 + 7*f = 0.
-2, -1, 0
Suppose 508*l = 495*l + 208. Let p(u) be the first derivative of 0*u - 1/9*u**3 - l + 0*u**2. Factor p(z).
-z**2/3
Let a(g) = 98*g - 671. Let q be a(7). Let x be ((-114)/(-8))/(1/4). Factor x*u**3 + q*u**2 - 29*u**3 - 23*u**3.
5*u**2*(u + 3)
Let s(h) = -4*h**2 - 4 + 4*h**2 + 10*h + 4*h**2 - 5*h**2. Let z be s(6). Determine o so that 165*o**3 + 39*o**4 - z + 6*o**4 - 73*o**2 - 105*o - 12*o**2 = 0.
-4, -1/3, 1
Let s(g) be the second derivative of g**7/42 - 4*g**6/3 - 127*g**5/20 - 43*g**4/6 - 1624*g - 2. Suppose s(w) = 0. Calculate w.
-2, -1, 0, 43
Let r = -9328 - -18839/2. Factor -15/2*c**3 + r*c - 57*c**2 - 27.
-3*(c - 1)*(c + 9)*(5*c - 2)/2
Let c = -316465/138 + 6889/3. Let q = -60/23 + c. What is l in -1 + 1/4*l**4 - 3/4*l**2 + 2*l - q*l**3 = 0?
-2, 1, 2
Let j(d) be the second derivative of 1/3*d**4 + 2/3*d**3 - 24*d**2 - 11*d - 6. Let j(q) = 0. What is q?
-4, 3
Let y(z) = -z**3 - z**2 + 3*z. Let h(u) = -5*u**3 - 7*u**2 + 17*u. Let v = 78 + -112. Let t(f) = v*y(f) + 6*h(f). Factor t(c).
4*c**2*(c - 2)
Factor 5*n**4 + 1276*n**2 + 1815 + 90*n**3 - 1587*n - 503*n - 1096*n**2.
5*(n - 3)*(n - 1)*(n + 11)**2
Factor -129/2*g**2 - 3/2*g**3 + 279/2*g + 405/2.
-3*(g - 3)*(g + 1)*(g + 45)/2
Let m(s) be the second derivative of -s**5/180 + 7*s**4/27 + 281*s**3/54 + 14*s**2 + 28*s - 9. Determine p so that m(p) = 0.
-7, -1, 36
Let d(o) be the second derivative of -o**4/3 - 1022*o**3/3 + 1024*o**2 - 6*o - 29. Factor d(w).
-4*(w - 1)*(w + 512)
Let p(z) = 1. Suppose 0 = 2*a + 4*n - 14, 5*a = -2*n - n + 7. Let y(q) = 16*q**3 + 12*q**2 - 16*q - 6. Let w(v) = a*y(v) + 6*p(v). What is b in w(b) = 0?
-1, -3/4, 1
Let w = -1781 - -243996/137. Let n = 283/1233 + w. Find k such that 0 + 4/3*k**2 - 10/9*k - n*k**3 = 0.
0, 1, 5
Let s = 7036777/7 + -1005251. Determine p so that -2/7*p**3 - s + 8/7*p**2 + 2*p = 0.
-2, 1, 5
Let k(z) be the third derivative of -z**6/90 + z**5/5 + 32*z**4/9 + 56*z**3/3 + 4*z**2 - 166*z. Factor k(b).
-4*(b - 14)*(b + 2)*(b + 3)/3
Suppose 2*p - 7*p - 120 = 0. Let i be ((-16)/(-12))/(-2 + p/(-9)). Factor -19 + 49*v**3 + 24*v + 11*v**i - 48*v**3 - 17.
(v - 1)*(v + 6)**2
Let f(s) be the first derivative of 0*s + 61 + 10/27*s**3 - 1/18*s**4 + 2/3*s**2. Factor f(j).
-2*j*(j - 6)*(j + 1)/9
Factor 0 - 656/5*h**2 - 26896/5*h - 4/5*h**3.
-4*h*(h + 82)**2/5
Let q(t) be the second derivative of -t**6/10 + 231*t**5/10 - 6781*t**4/4 + 32802*t**3 - 272214*t**2 + 6416*t. What is k in q(k) = 0?
6, 71
Let n be ((-4)/10)/((-27)/270). Solve 28*t**n - 27 - 12*t**3 - 32*t**4 + 27 = 0.
-3, 0
Let s = -477546 + 477550. Find w such that -6/7*w**2 + s*w**3 - 4*w + 6/7 = 0.
-1, 3/14, 1
Let v be (144/20)/(5/75). Suppose 0 = -8*g - v + 228. Suppose -16*o - g*o**3 - 13/4*o**4 + 0 - 28*o**2 - 1/4*o**5 = 0. What is o?
-4, -1, 0
Let w(a) be the third derivative of 0*a - 35/64*a**4 - 70*a**2 + 0 - 17/8*a**3 - 1/160*a**5. Factor w(f).
-3*(f + 1)*(f + 34)/8
Let z(n) be the third derivative of -n**6/60 - 188*n**5/15 - 11655*n**4/4 + 23814*n**3 - 61*n**2 - 12. Determine y, given that z(y) = 0.
-189, 2
Let y be 18/(-33) - (-1037)/187. Let p(j) be the first derivative of -y - j**3 + 3/28*j**4 - 27/7*j + 45/14*j**2. Suppose p(f) = 0. Calculate f.
1, 3
Let k be (3 - (-56)/(-16))*-22. L