of -s**6/60 - 49*s**5/10 + 149*s**4/6 - 324*s**2. Solve t(q) = 0 for q.
-149, 0, 2
Let x = -58 + 50. Let r be ((-2)/8 + 0)*x. Factor -2/5*o**r + 1/5*o**3 - 4/5*o + 8/5.
(o - 2)**2*(o + 2)/5
Suppose 135 = 3*q - 9. Suppose 36 = j - 2*h, -q = -j - 4*h + 2*h. Solve -w**2 - 86 - 3*w + 42 + j = 0.
-2, -1
Let i(t) be the first derivative of -t**4/6 - 2*t**3/3 + 48*t**2 + 1664*t/3 + 417. Solve i(h) = 0 for h.
-8, 13
Let n = 171/140 + -233/420. Find v, given that 10/3 - 22/3*v - n*v**3 + 14/3*v**2 = 0.
1, 5
Let f = 454/845 - 1614/9295. Factor 6/11*y**3 + f*y**2 - 2/11*y + 0.
2*y*(y + 1)*(3*y - 1)/11
What is h in 392/5 + 108/5*h**2 + 2/5*h**3 + 498/5*h = 0?
-49, -4, -1
Let w(d) = -3*d**2 - 1. Let o(i) = 11*i**2 - 66*i + 1092. Let p(q) = -o(q) - 4*w(q). Let x(f) = -2*f**2 - 1. Let s(l) = -2*p(l) - 2*x(l). What is y in s(y) = 0?
33
Suppose -3*o - 4*x - 193 = 0, 5*o + 270 = o + x. Let p = o - -69. Let -6*s - 9*s - 3*s**2 + 2*s**p + 4*s**2 + 18 = 0. What is s?
2, 3
Suppose 18 - 28/5*u + 2/5*u**2 = 0. Calculate u.
5, 9
Let x(l) = -2*l + 161 + 10*l**2 - 137 - l**3 + 0*l**3. Let k be x(10). Factor -2*c**3 - k*c**2 - 196 + 196 + 4*c**4 + 2*c**5.
2*c**2*(c - 1)*(c + 1)*(c + 2)
Let v(p) be the third derivative of p**7/210 + 37*p**6/120 + 39*p**5/5 + 90*p**4 + 288*p**3 - p**2 - 303. Let v(q) = 0. What is q?
-12, -1
Suppose -4*b + 13 = h, -3*b + 5*h = -0*b + 19. Find w such that 8*w**2 + 0*w**2 - 4*w - 26*w - 72 - 5*w**b = 0.
-2, 12
Let s(w) = -w**3 - 46*w**2 - 87*w + 32. Let i be s(-44). Let k be i/14 + 1770/1575. Factor -6/5*l**2 + k + 14/15*l.
-2*(l - 1)*(9*l + 2)/15
Let n = 25 + -23. Suppose -3*g - 5*w = 8, 0 = 2*g - n*w - w - 20. Factor f + f**2 - 6*f**2 + g*f**2 + 2*f**2 - 2.
(f - 1)*(f + 2)
Suppose -37*i = -21*i - 32. Let -129*s - 19*s - 10*s**i - 48*s + 31*s - 80 = 0. What is s?
-16, -1/2
Factor 4/7*q**2 + 178084/7 - 1688/7*q.
4*(q - 211)**2/7
Let r(p) be the first derivative of -10*p**3 + 25/4*p**4 - p**5 + 40*p - 72 - 10*p**2. Suppose r(d) = 0. What is d?
-1, 2
Let d = 356 + -357. Let u be 4 - (3/d - 22/(-10)). Suppose 6/5*f**3 + 6*f + u*f**2 + 12/5 = 0. Calculate f.
-2, -1
Let b(j) be the first derivative of j**3/15 - 3*j**2/10 - 28*j/5 - 1293. Factor b(x).
(x - 7)*(x + 4)/5
Determine n so that 84833 - n**2 - 32*n - 85169 - 5*n = 0.
-21, -16
Let u(j) be the second derivative of -9/2*j**2 + 0 + 55*j + 9/80*j**5 - 35/8*j**3 + 1/4*j**4. Factor u(f).
3*(f - 3)*(f + 4)*(3*f + 1)/4
Let n(r) = 3*r**4 + 210*r**3 + 1137*r**2 - 6. Let h(u) = 3*u**4 + 209*u**3 + 1136*u**2 - 4. Let o(i) = 3*h(i) - 2*n(i). Factor o(l).
3*l**2*(l + 6)*(l + 63)
Let l(z) = 2*z**2 - 83*z + 588. Let x be l(9). Suppose -4/5*h + 1/5*h**4 + 2/5*h**2 - 3/5 + 4/5*h**x = 0. What is h?
-3, -1, 1
What is b in -7485*b + 3093 + 1542 + 85*b + 208 - 5*b**2 + 2562 = 0?
-1481, 1
Let z be 4 + -1*(-2228)/(-2). Let a be z/(-150) - (6/(-10))/1. Factor 0 + 50*x - 46*x - x**3 - 6*x**2 + a + 0*x**4 + x**4.
(x - 2)**2*(x + 1)*(x + 2)
Let s(o) be the third derivative of o**7/630 - 7*o**6/360 - 5*o**5/9 - 71*o**4/18 - 40*o**3/3 - 25*o**2 + 30. Suppose s(d) = 0. Calculate d.
-4, -2, 15
Suppose 3*y - 4*v + 214 = 0, -7*y + 12*y - 3*v + 353 = 0. Let c be (y/(-350))/(3/5). Solve -2/3*j**2 + 1/3*j**5 + 0*j**3 + 2/3*j**4 + 0 - c*j = 0.
-1, 0, 1
What is c in 84302*c**4 + 3684*c**2 - 9720*c + 21*c**5 + 679 + 3138*c**3 - 83825*c**4 + 1721 = 0?
-10, -4, 2/7, 1
Let v be ((-34)/(-3) - 11)/(4 + -3). Let x(s) be the third derivative of 1/24*s**4 - 1/60*s**5 + v*s**3 + 0 + 6*s**2 + 0*s. Factor x(a).
-(a - 2)*(a + 1)
Let r(d) be the second derivative of 31*d**4/36 - 2*d**3 + 5*d**2/6 + 3*d - 120. Factor r(x).
(x - 1)*(31*x - 5)/3
Factor -159/4*z**2 + 0*z + 0 - 1/4*z**3.
-z**2*(z + 159)/4
Let u(m) = -4*m**4 - 7*m**3 + 20*m**2 - 33*m - 141. Let s(j) = -11*j**4 - 18*j**3 + 61*j**2 - 96*j - 424. Let x(y) = 3*s(y) - 8*u(y). Factor x(o).
-(o - 4)**2*(o + 3)**2
Let p(u) be the second derivative of -u**6/120 + 4*u**5/15 + u**4/24 - 8*u**3/3 + 61*u**2/2 - 13*u. Let t(l) be the first derivative of p(l). Factor t(r).
-(r - 16)*(r - 1)*(r + 1)
Let f(g) be the third derivative of g**6/80 + 38*g**5/5 - 939*g**4/4 + 2844*g**3 - 3*g**2 - g + 55. Factor f(y).
3*(y - 6)**2*(y + 316)/2
Let -1200 + 785*t + 539*t**4 + 298*t**4 - 5*t**5 + 1610*t**2 - 1810*t**4 - 780*t**3 + 563*t**4 = 0. Calculate t.
-80, -3, -1, 1
Let k(q) be the first derivative of -39*q**4/4 + 313*q**3 - 36*q**2 - 157. Factor k(p).
-3*p*(p - 24)*(13*p - 1)
Let g(z) be the third derivative of 23*z**5/300 + z**4/20 - 52*z**2 + z. Factor g(t).
t*(23*t + 6)/5
Let c(g) = 13*g**2 - 29*g - 38. Let f(r) = 4*r**2 + 4*r + 1. Let i(q) = c(q) - 4*f(q). Let i(t) = 0. Calculate t.
-14, -1
Let p = 8 + 6. Suppose 3*g = -3, -w = -0*g + 2*g - p. Factor 2 - w*t + 10 + 41*t**2 - 34*t**2 - t**3.
-(t - 3)*(t - 2)**2
Let j(r) be the third derivative of 0*r + 0*r**5 + 46*r**2 + 1/10*r**6 + 0*r**3 - 1/12*r**4 - 8/105*r**7 + 1/56*r**8 + 0. Let j(h) = 0. Calculate h.
-1/3, 0, 1
Let k = 36947/14 + -18428/7. Let -3/8*m**2 + 9/2 + k*m = 0. Calculate m.
-2/3, 18
Let g(y) be the first derivative of 0*y**3 + 1/15*y**5 + 0*y + 0*y**2 + 117 - 5/6*y**4. What is n in g(n) = 0?
0, 10
Find t such that -522/5 + 76/5*t - 2/5*t**2 = 0.
9, 29
Let b(s) = -s**4 - 2*s**3 - s. Let y(q) = 3*q**4 - 335*q**3 - 1130*q**2 - 1000*q - 200. Let c(j) = 20*b(j) - 5*y(j). Suppose c(m) = 0. Calculate m.
-2, -1, -2/7, 50
Let m(n) be the first derivative of -4*n**5/5 - 26*n**4 + 1012*n**3 + 24128*n**2 - 861184*n - 13233. Solve m(l) = 0.
-29, 16
Let o(m) be the third derivative of m**5/60 - 203*m**4/6 + 811*m**3/6 + 2834*m**2 + 1. Factor o(p).
(p - 811)*(p - 1)
Let h be (444/74)/(4 + (-26)/8) - 11/(-4). Find l, given that h*l - 5/4*l**4 + 39/4*l**2 - 19/4*l**3 - 5/2 = 0.
-5, -1, 1/5, 2
Let l be ((-6)/5)/(462/(-105)). Let o(w) be the first derivative of 1/22*w**4 + l*w**2 + 10 - 2/11*w - 2/11*w**3. Solve o(z) = 0 for z.
1
Let l be (-8502)/1701 + 7 + (4 - 6). Let v = 3391/6237 + l. Factor 0*q + 0 - 14/11*q**4 + 4/11*q**5 + 16/11*q**3 - v*q**2.
2*q**2*(q - 1)**2*(2*q - 3)/11
Let m(j) = -8*j + 277. Let z be m(32). Solve -9*u**4 + 57/2*u**3 + 3 - z*u**2 - 3/2*u = 0 for u.
-1/3, 1/2, 1, 2
Let t(f) be the third derivative of -f**5/100 + 27*f**4/10 - 208*f**3/5 - 4069*f**2. Solve t(r) = 0 for r.
4, 104
Let c be ((-48)/(-4))/(2 + -1). Suppose c*p + 486 = 14*p. Determine j so that -5*j**3 - 729 + 145*j**2 - 172*j**2 - p*j + 4*j**3 = 0.
-9
Let g = -72612 - -72614. Factor -4/7*u + 0*u**g - 2/7*u**4 + 4/7*u**3 + 2/7.
-2*(u - 1)**3*(u + 1)/7
Let y = 139 - 137. Let 5783*a**y - 15 + 28*a + 39 - 5779*a**2 = 0. Calculate a.
-6, -1
Let j be (10/(-4))/(80/(-64)). Suppose -2*k - j*k + 96 = 0. Let -k*i**2 - 5*i**3 + i**4 + 47*i**2 - 3*i - 16*i**2 = 0. What is i?
0, 1, 3
Let a(y) be the second derivative of y**7/441 - 11*y**6/315 - 37*y**5/210 + 407*y**4/126 + 104*y**3/7 - 432*y**2/7 + 1062*y. Suppose a(r) = 0. Calculate r.
-4, 1, 9
Let w(n) = -16*n**2 + 144*n - 30. Let l be w(15). Let x be (l/(-4725))/((3/35)/3). Determine h, given that -x - 2/9*h**2 - 28/9*h = 0.
-7
Let a = 76611/1468 - 321/734. Factor 867 - 918*i + a*i**2 - 3/4*i**3.
-3*(i - 34)**2*(i - 1)/4
Let i = 8798/2469 - 738/823. Let 8/3*r**3 - 2/3*r**4 + 2/3*r**2 + 0 - i*r = 0. What is r?
-1, 0, 1, 4
Factor -3 + 138*s**2 - 150*s**3 - 51/2*s.
-3*(2*s - 1)**2*(25*s + 2)/2
Let u be 330/25 + (-2)/10. Suppose 3 - u = i + 3*h, -i - 4*h - 15 = 0. Factor -3*c**i + 56 - 56 + 6*c**3 + 3*c**4.
-3*c**3*(c - 2)*(c + 1)
Suppose 12*x - 64 + 6 = 26. Let v(p) be the second derivative of -8/17*p**3 + 0 - 1/170*p**5 + 36/17*p**2 - 11/102*p**4 + x*p. What is w in v(w) = 0?
-6, 1
Let a(c) be the first derivative of -116 + 4961/14*c**4 - 8/7*c + 131/7*c**2 + 2662/35*c**5 - 946/7*c**3. Suppose a(m) = 0. Calculate m.
-4, 1/11
Let n be (8/26 - 7399/(-7852))*(-2)/(-20). Let d(z) be the second derivative of 0 - 3/40*z**5 - 1/12*z**3 + 7*z + 0*z**2 + n*z**4 + 1/60*z**6. Factor d(c).
c*(c - 1)**3/2
Let f(v) = 6*v**3 - 562*v**2 + 2*v + 562. Let x(c) = c**3 + c**2 - 1. Let n(u) = -f(u) + 8*x(u). Suppose n(r) = 0. Calculate r.
-285, -1, 1
Suppose 4530*o = 4488*o. Factor o + 4/5*r**3 + 48/5*r**2 + 16*r.
4*r*(r + 2)*(r + 10)/5
Let h be (-1150)/75*3/(-2). Let a = h + -21. Let -122 - 87*n**2 - 71*n**2 - 58 + 33*n**a - 420*n - 10*n**3 