e x(3). Factor 36*m**3 + 117/2*m - 263/2*m**2 - 7 + 8*m**y.
(m - 2)*(m + 7)*(4*m - 1)**2/2
Let w be (13 - 3)*188/30 + 8. Determine y, given that w*y**4 - 16/3 + 0*y - 16*y**5 - 104*y**3 + 164/3*y**2 = 0.
-1/4, 2/3, 1, 2
Let i(h) = 2*h**2 + 7*h - 4. Let z be i(-4). Factor 7*c**3 - 9*c**3 + z*c**2 + 5*c**2 - 3*c**3.
-5*c**2*(c - 1)
Let k be ((-1 - 6) + 357/255)*5/(-18). Suppose -3*a = 5*c - c - 1, -3*c = 2*a. Let 8/9*l**5 + k*l - 14/9*l**2 + 10/9*l**4 + 4/9 - 22/9*l**a = 0. Calculate l.
-2, -1, -1/4, 1
Suppose 0 = r + 9*y + 41, y - 12 = 2*r - 25. Let 26/9*d**3 - 4*d**2 - 256/9 - 2/9*d**r - 320/9*d = 0. What is d?
-2, -1, 8
Let w = 91/744 - -135/248. Let f be (2/(-7))/(9/(-21)). Factor 10/3 - f*g - 10/3*g**2 + w*g**3.
2*(g - 5)*(g - 1)*(g + 1)/3
Let f(o) = 7*o**3 + 292*o**2 + 2*o - 298. Let t(a) = 47*a**3 + 2042*a**2 + 13*a - 2082. Let m(g) = -20*f(g) + 3*t(g). Determine d, given that m(d) = 0.
-286, -1, 1
Factor 351 + u**4 + 188 + 161*u**2 - 130*u**2 + 742*u + 197*u**2 + 26*u**3.
(u + 1)*(u + 7)**2*(u + 11)
Let o be ((6/(-8))/((-63)/56))/((-2)/(-9)). Let l(c) be the first derivative of -48/7*c**2 - 26/21*c**o - 72/7*c - 9 - 1/14*c**4. Factor l(r).
-2*(r + 1)*(r + 6)**2/7
Determine u, given that -1/3*u**4 - 236/3*u + 64/3*u**2 + 59/3*u**3 - 80 = 0.
-2, -1, 2, 60
Let y(z) be the second derivative of -67*z - 175/6*z**3 + 55/4*z**4 - 1/6*z**6 - 9/4*z**5 + 30*z**2 + 0. Find t, given that y(t) = 0.
-12, 1
Factor 8*a**2 - 1573*a - 1 - 2*a**4 - 5 - 4*a**3 + 1577*a.
-2*(a - 1)**2*(a + 1)*(a + 3)
Suppose 5*a - 29 = -0*a - k, 0 = -2*a + 3*k + 15. Solve 3*z + 4*z + 8*z - a*z**2 + 11*z**2 = 0.
-3, 0
Suppose 36 = -4*s - 2*s. Let h(i) = 155*i**2 + 155*i + 85. Let y(b) = -11*b**2 - 11*b - 6. Let f(a) = s*h(a) - 85*y(a). Solve f(g) = 0.
-1, 0
Let r(i) = -5*i**2 + 360*i - 361. Let n(b) = 2. Let k(h) = -3*n(h) - r(h). Solve k(g) = 0 for g.
1, 71
Let a(z) be the third derivative of -1/20*z**6 + 3*z + 0 + 0*z**3 - 1/30*z**5 + 0*z**4 + 22*z**2. Factor a(o).
-2*o**2*(3*o + 1)
Let u(s) be the second derivative of s**4/102 - 77*s**3/17 + 230*s**2/17 + 4594*s. Factor u(w).
2*(w - 230)*(w - 1)/17
Determine z, given that -454/11*z + 6/11*z**5 + 448/11*z**3 - 100/11*z**2 - 180/11 + 280/11*z**4 = 0.
-45, -1, -2/3, 1
Let i = 292732 - 292729. Let -2/9*q + 2/9 - 2/9*q**2 + 2/9*q**i = 0. What is q?
-1, 1
Find v such that 21/2*v**3 - 9 - 21/2*v + 3/2*v**4 + 15/2*v**2 = 0.
-6, -1, 1
Suppose -l - 13*l = -336. Suppose 135 = 3*k + l*k. Solve -n**4 + n**2 + 7/2*n**3 + 0 - 7/2*n**k + 0*n = 0 for n.
-1, -2/7, 0, 1
Suppose 80*u = 470*u - 1170. Factor 14/5*f**2 + 0 - 6/5*f - 2*f**u + 2/5*f**4.
2*f*(f - 3)*(f - 1)**2/5
Let b(j) = -397*j - 3523. Let i be b(-9). Let l(u) be the first derivative of 5/3*u**3 - 55/2*u**2 + i*u + 2. Factor l(o).
5*(o - 10)*(o - 1)
Let p = -1855 - -51943/28. Let s(u) be the third derivative of -1/35*u**6 + 0 + 1/7*u**4 + 17*u**2 + p*u**5 - 8/7*u**3 + 0*u + 1/490*u**7. Factor s(r).
3*(r - 4)**2*(r - 1)*(r + 1)/7
Let c(l) be the second derivative of -l**7/210 + 26*l**6/75 - 99*l**5/50 + 73*l**4/15 - 193*l**3/30 + 24*l**2/5 - 1206*l. Determine p so that c(p) = 0.
1, 48
Let u(p) be the second derivative of p**6/540 + 17*p**5/30 + 289*p**4/4 + 19*p**3/6 - 9*p**2/2 + 185*p. Let c(v) be the second derivative of u(v). Factor c(r).
2*(r + 51)**2/3
Suppose a + 2*m = 5*m + 20, -m = -5*a + 58. Let h be ((-5)/2)/(a/(-22)). Suppose -21*z**5 + z**2 - 3*z**3 - 3*z**4 + 2*z**2 + 24*z**h = 0. Calculate z.
-1, 0, 1
Let j(p) be the third derivative of p**5/210 - 16*p**4/3 + 7168*p**3/3 + 1128*p**2. Suppose j(c) = 0. Calculate c.
224
Let q be (10/(-5))/1 - 66/2. Let z = -31 - q. Let -31 + 39 - 14*u**2 + 2*u**5 + 6*u**z + 3*u**3 - 5*u**3 = 0. What is u?
-2, -1, 1
Let t(p) be the second derivative of -7/12*p**4 + 0 + 76*p + 0*p**2 + 1/2*p**3 - 1/30*p**6 + 1/4*p**5. Factor t(u).
-u*(u - 3)*(u - 1)**2
Factor -4623/8*r - 1/8*r**3 + 4489/8 + 135/8*r**2.
-(r - 67)**2*(r - 1)/8
Let l be 1764/1060 + -9 + 9. Let h = l + -14/53. Determine w, given that 0*w + 4/5*w**2 + 0 - h*w**4 + 8/5*w**3 - w**5 = 0.
-2, -2/5, 0, 1
Suppose o + 6 = -2*y + 7, -5*o = -3*y + 21. Let g be y*(-786)/(-1092) + 4/(-26). Factor g*k**2 + 0 + 0*k - 6/7*k**3.
-3*k**2*(2*k - 3)/7
Let g(f) = 9*f**2 + 504*f - 2460. Let t(p) = -p**2 - 63*p + 308. Let q(m) = -4*g(m) - 33*t(m). Find n such that q(n) = 0.
9, 12
Let p be 1*-7 + (3142152/(-56))/(-81). Factor 4/7*d**3 + 240/7*d**2 + 32000/7 + p*d.
4*(d + 20)**3/7
Let z = -101 + 101. Let q be 9/(-9) - (-4 - (z + 1)). Determine u so that -2*u**5 + q*u**5 + 2*u**2 - 2*u**3 - 4*u**4 + 2*u**4 = 0.
-1, 0, 1
Suppose 1108 = -4*k - 4*f + 5560, -5*k + 5566 = 4*f. Let b = k - 1112. Factor 1/3*q - 2/3*q**b + 0 + 1/3*q**3.
q*(q - 1)**2/3
Let h(k) be the first derivative of 2*k**3/27 - 254*k**2/9 - 170*k/3 - 3464. Factor h(n).
2*(n - 255)*(n + 1)/9
Factor -32 + 137 + 12 + 67 - g**2 - g**2 - 38*g.
-2*(g - 4)*(g + 23)
Let n(c) = -6*c**2 + 34*c - 50. Let t(j) = -26*j**2 + 126*j - 199. Let b(r) = -18*n(r) + 4*t(r). Determine q, given that b(q) = 0.
1, 26
Suppose -2/5*q**5 - 864/5*q**3 + 86/5*q**4 + 11616/5 - 1648/5*q**2 + 6688/5*q = 0. What is q?
-2, 3, 22
Factor -1/2*m**2 + 45/2*m + 72.
-(m - 48)*(m + 3)/2
Let q = -1924 + 1363. Let x = q - -2247/4. Solve -1/4 + 1/2*u**3 + x*u**4 + 1/4*u**5 - 1/2*u**2 - 3/4*u = 0.
-1, 1
Let c(h) be the third derivative of h**6/90 - 4*h**5/15 + 3*h**4/2 + 2*h**2 + 102. Suppose c(u) = 0. What is u?
0, 3, 9
Let w(v) be the second derivative of v**5/10 + 3*v**4/2 + 8*v**3/3 + 298*v. Factor w(r).
2*r*(r + 1)*(r + 8)
Let k(i) be the second derivative of 1/3*i**3 - 1/30*i**6 + 2*i - 1/10*i**5 - 3/2*i**2 + 1/3*i**4 - 31. Solve k(x) = 0.
-3, -1, 1
Let x(v) be the first derivative of -2*v**3/3 - 47*v**2 - 92*v + 10. Factor x(h).
-2*(h + 1)*(h + 46)
Let w be (476/1547)/(6/26) - (-4)/6. Let 1/2*p**w + 33*p + 1089/2 = 0. Calculate p.
-33
Let v(p) be the second derivative of 0*p**3 - 24*p + 54/7*p**2 - 1 - 1/140*p**5 - 3/28*p**4. Solve v(d) = 0 for d.
-6, 3
Find m such that 73*m**2 - 240*m - 84761*m**4 + 55*m**2 - 12*m**3 + 84757*m**4 + 128 = 0.
-8, 1, 2
Factor 2/13*b**3 + 16/13*b**2 + 10/13*b - 100/13.
2*(b - 2)*(b + 5)**2/13
Let x(c) be the first derivative of 2*c**6/5 - c**5 - 4*c**4/3 + 8*c**3/3 - 192*c + 129. Let r(m) be the first derivative of x(m). Determine y so that r(y) = 0.
-1, 0, 2/3, 2
Suppose 11*g + 18 = 13*g. Suppose -2*r**5 - 21*r**2 - 16*r**4 + g*r**2 - 83*r**3 + 57*r**3 = 0. Calculate r.
-6, -1, 0
Let z(d) be the third derivative of d**6/420 - 6239*d**5/210 + 9734399*d**4/84 - 9728161*d**3/21 - d**2 + 2*d + 319. Determine k, given that z(k) = 0.
1, 3119
Let r(z) be the third derivative of -z**6/120 - z**5/5 - 29*z**4/24 + 7*z**3 + 4402*z**2. Factor r(j).
-(j - 1)*(j + 6)*(j + 7)
Find g, given that 195*g + 185*g**2 + 22218 + 5*g**4 - 88*g**3 - 22408 - 107*g**3 = 0.
-1, 1, 38
Let r(x) be the second derivative of x**7/126 - 8*x**6/9 + 1157*x**5/60 + 8701*x**4/18 + 3440*x**3 + 10800*x**2 - x - 57. Suppose r(p) = 0. Calculate p.
-4, -2, 45
Suppose -17*i + 20*i = 6. Let 10*p**2 + 9 + 6*p**2 + p**2 + 1 - 5*p**4 + 5*p**3 - i*p**2 - 25*p = 0. Calculate p.
-2, 1
Let 945*t**3 - 6793 - 1029*t**3 + 4993 + 930*t + 88*t**2 + 2*t**5 = 0. Calculate t.
-5, 3, 4
Let g(w) = -60*w**3 - 3*w**2 - 7*w + 7. Let m be g(2). Let f = m - -1501/3. Factor 4/3*h**3 - 4/3*h**2 + 4/3 - f*h.
4*(h - 1)**2*(h + 1)/3
Let b(q) = -3*q**2 + 1035*q - 3076. Let a be b(3). Let 0*j - 1/7*j**a + 0 - 3/7*j**3 = 0. Calculate j.
-1/3, 0
Let z(h) be the first derivative of -h**6/90 + 2*h**5/15 - h**4/2 - 25*h**3/3 - 82. Let o(f) be the third derivative of z(f). Factor o(k).
-4*(k - 3)*(k - 1)
Let p = 22/89 + 4296/623. Let g = 860/7 + -858/7. Factor -g*o**2 + 20/7*o - p.
-2*(o - 5)**2/7
Let k be ((-27775)/(-300))/(2*3/(-60)). Let g = k - -926. Determine n so that -1/6 - g*n**2 - 1/3*n = 0.
-1
Find h, given that -151/9*h**3 - 1/9*h - 79/9*h**2 - 109/9*h**4 + 8/9 - 28/9*h**5 = 0.
-8/7, -1, 1/4
Suppose -52*l = -112*l + 5400. Suppose -39*n = -9*n - l. Determine t so that -3/2*t**n + 3*t**2 + 0 - 3/2*t = 0.
0, 1
Let c(l) = -8*l - 3. Let y be c(-30). Suppose a - 57 = 5*s - y, 3*s = 3*a + 108. Find k, given that s + 96*k + 17 + 30*k**2 + 3*k**3 + 43 = 0.
-4, -2
Let o be 1*(-40)/16*(-12)/10. Suppose 0*q**3 - 30*q**