 20*y/3 - 154. Factor p(q).
(q + 4)*(6*q + 5)/3
Let 26/7*h + 1/7*h**2 + 15 = 0. Calculate h.
-21, -5
Let o(j) be the second derivative of j**4/4 - 1351*j**3/2 - 2028*j**2 + 3218*j. Factor o(p).
3*(p - 1352)*(p + 1)
Let r = -723/236 - -1335/118. Factor -5*g - r*g**3 + 14*g**2 - 9/4*g**4 + 0.
-g*(g + 5)*(3*g - 2)**2/4
Let r(t) be the first derivative of -38*t**5/55 + 29*t**4/22 + 56*t**3/33 - 20*t**2/11 - 2430. Suppose r(s) = 0. Calculate s.
-1, 0, 10/19, 2
Let b(t) be the first derivative of 0*t**2 + 1/12*t**6 + 0*t + 1/10*t**5 + 209 - 2/3*t**3 - 1/2*t**4. Factor b(m).
m**2*(m - 2)*(m + 1)*(m + 2)/2
Let y(k) be the first derivative of k**6/90 + 23*k**5/15 - 47*k**4/6 + 8*k**3 + 119. Let t(m) be the third derivative of y(m). Let t(r) = 0. Calculate r.
-47, 1
Suppose 0*d - 8/15*d**2 - 2/15*d**3 + 0 + 2/15*d**5 + 8/15*d**4 = 0. What is d?
-4, -1, 0, 1
Let i(q) = q**3 - 5*q**2 + 4*q + 9. Let y be i(3). Suppose -y*v - 5 = -4*c, 9 = 2*c - 0*c + 5*v. Solve -11/4*g**3 - 1/2*g**5 - 9/4*g**4 + g + 0*g**c + 0 = 0.
-2, -1, 0, 1/2
Suppose 0 = 5*p - 2*k + 65, 0*p = 2*p + k + 26. Let z = p - -19. Factor -z*c**3 - 33*c**2 + c**3 + 15*c**2 + 28*c**2.
-5*c**2*(c - 2)
Let m be (41 - 52 - -4*2) + 199/66. Let g(u) be the second derivative of 0 - 2*u + m*u**4 - 14/33*u**3 + 49/11*u**2. Factor g(j).
2*(j - 7)**2/11
Suppose -4*u + 7 = 4*c + 3, -5 = c + 3*u. Determine x, given that 6*x**3 - 8*x**c + 9*x**4 + 2*x**4 - 3 - 6*x = 0.
-1, 1
Suppose z - 68*f = -71*f + 14, 5*z - f = 22. Let s be (-7)/9 + z/(2 - -3). Factor -4/9*p - s*p**2 - 2/9.
-2*(p + 1)**2/9
Let u(a) be the first derivative of -a**6/57 - 14*a**5/95 + 14*a**4/19 - 40*a**3/57 + 1721. Suppose u(n) = 0. Calculate n.
-10, 0, 1, 2
Let a = 28537/12 - 9503/4. Suppose 1/9*h**2 + 22/9*h + a = 0. Calculate h.
-21, -1
Let i = -395/4968 + 3/23. Let s = i - -2/27. Factor 1/8*f**3 + 0 - s*f + 0*f**2.
f*(f - 1)*(f + 1)/8
Let i be (-14 + 13)/((-2)/22 - 0). Let y be 35/(-77)*i/(-3). Let -y*t**3 - 4*t - 8/3 + 6*t**2 = 0. Calculate t.
-2/5, 2
Let g(z) be the third derivative of 0 + 0*z**3 + 13/24*z**4 + 0*z - 120*z**2 + 1/60*z**5. What is q in g(q) = 0?
-13, 0
Suppose 4*m - 4 = -2*v, -2*v + 18748 - 18749 = -m. Factor 0*l**2 + v + 2/3*l**5 - 28/3*l**3 + 26/3*l**4 + 0*l.
2*l**3*(l - 1)*(l + 14)/3
Let v = -493599 - -493607. What is i in -3/5*i - v + 1/5*i**2 = 0?
-5, 8
Let h be (34 - 36)*1/(-2)*(-1)/(-4). Suppose 0 + 9/4*o + h*o**2 = 0. What is o?
-9, 0
Let m(w) = w**2 + 11*w - 50. Let t be m(7). Let z be (-6)/(-8)*t/114. Factor -1/4*r**2 + 0 + 1/4*r**3 - z*r.
r*(r - 2)*(r + 1)/4
Let s be (((-12)/18 - -1) + 0)*6. Solve 4*m**4 - 1 - 2*m + s - m**4 + 12*m**4 + 2*m**3 - 16*m**4 = 0.
-1, 1
Suppose -28/13*k**2 - 34/13*k + 2/13*k**5 + 8/13*k**4 - 12/13 + 0*k**3 = 0. Calculate k.
-3, -1, 2
Let -686/9*c - 28/9*c**2 + 2/9*c**3 - 2744/9 = 0. What is c?
-7, 28
Let l = -48 - -41. Let s be 134/20 + l + (-1)/(-2). Determine j, given that -1/10*j**3 - s*j**2 + 0 + 0*j = 0.
-2, 0
Let f(s) be the first derivative of -s**4/4 + 2723*s**3/3 - 1855043*s**2/2 + 1852321*s + 12325. Factor f(p).
-(p - 1361)**2*(p - 1)
Let c(d) be the first derivative of 2*d**5/5 + 8*d**4 - 34*d**3/3 - 170. Solve c(h) = 0 for h.
-17, 0, 1
Factor -26*v + 13*v + 14*v + 9*v + 8*v + 3*v**2 + 24.
3*(v + 2)*(v + 4)
Let h(n) be the first derivative of -31/15*n**3 + 0*n - 141 + 1/20*n**4 + 0*n**2. Factor h(m).
m**2*(m - 31)/5
Let z(q) = 2256*q - 2. Let m(u) = -u**2 + 9008*u - 9. Let d(k) = 4*m(k) - 18*z(k). Factor d(b).
-4*b*(b + 1144)
Let r be 140/6*189/(-84)*2288/(-7150). Solve -87/5 - r*a + 3/5*a**2 = 0 for a.
-1, 29
Let p(s) be the first derivative of -2*s**5/5 - 7*s**4/2 + 8*s**3/3 + 28*s**2 - 3343. Factor p(o).
-2*o*(o - 2)*(o + 2)*(o + 7)
Let o = 5071 - 5067. Solve -2/5*t**o - 24/5*t + 24/5*t**3 + 72/5 - 14*t**2 = 0.
-1, 1, 6
Let x(j) = -j**2 - 124 - 5*j + 4*j + 124. Let u(w) = 74*w**2 - 33*w**2 + 6*w + 2*w**3 + w - 32*w**2. Let b(d) = -u(d) - 5*x(d). Factor b(t).
-2*t*(t + 1)**2
Let w(p) be the second derivative of -2*p**6/15 - 107*p**5/5 + 109*p**4 - 658*p**3/3 + 220*p**2 + p + 3700. Determine k, given that w(k) = 0.
-110, 1
Let h = 2625 - 2619. Let j(t) be the third derivative of -1/210*t**7 - 7 - 1/10*t**5 - 1/6*t**3 + t**2 + 1/6*t**4 + 0*t + 1/30*t**h. What is b in j(b) = 0?
1
Solve 3365/7*g + 1684/7*g**2 + 1682/7 + 1/7*g**3 = 0 for g.
-1682, -1
Solve 110/9*z + 0 + 4/3*z**4 + 2/9*z**5 - 112/9*z**3 - 4/3*z**2 = 0 for z.
-11, -1, 0, 1, 5
Let y**3 - 221*y**4 - 3*y**5 - 106*y**3 + 75*y**2 + 449*y**4 - 195*y**4 = 0. Calculate y.
0, 1, 5
Let d(j) be the first derivative of -34 + 4/3*j**3 - 4*j**2 + 0*j. Factor d(g).
4*g*(g - 2)
Let n(g) be the third derivative of -g**5/90 + 19*g**4/36 + 24*g**3 + 1242*g**2. Find i such that n(i) = 0.
-8, 27
Let -2/3*k**3 - 48*k - 72 - 10*k**2 = 0. What is k?
-6, -3
Let c(k) be the second derivative of -7803*k**4/14 + 816*k**3/7 - 64*k**2/7 + 1088*k + 3. Find z, given that c(z) = 0.
8/153
Let n(t) = -t**3 - 15*t**2 + 15*t + 26. Let v(a) = 16*a**2 - 14*a - 28. Let c be (-5)/(-2)*76/(-95). Let y(r) = c*n(r) - 3*v(r). What is i in y(i) = 0?
-1, 2, 8
Factor 16/9*o - 4/9*o**3 - 4/9*o**4 + 16/9*o**2 + 0.
-4*o*(o - 2)*(o + 1)*(o + 2)/9
Let n be 3/84 - 2/(-8). Let v be (9 + -18 + 9)*(0 + 1). Factor 2/7*p + n*p**2 + v.
2*p*(p + 1)/7
Factor -174/13*i + 2772/13 + 2/13*i**2.
2*(i - 66)*(i - 21)/13
Let d(v) be the third derivative of 0*v + 5*v**3 + 1/40*v**5 - 9/16*v**4 - 65*v**2 + 0. Factor d(o).
3*(o - 5)*(o - 4)/2
Solve 32*q**2 + 7072/7*q + 43264/7 + 2/7*q**3 = 0.
-52, -8
Find m such that 3/8*m**4 - 3*m + 3/4*m**3 - 3/2*m**2 + 0 = 0.
-2, 0, 2
Suppose -10*a + 2*v + 2 = -6*a, -2*v = -a - 4. Factor 12*k - 12*k**3 - 19*k**4 - k**2 - 2*k**a - 19*k**4 + 41*k**4.
3*k*(k - 4)*(k - 1)*(k + 1)
Factor -1930 - 953 - 25*g**2 - 277 + 3970*g.
-5*(g - 158)*(5*g - 4)
Let l(y) be the third derivative of 43/15*y**5 - 7*y + 16/3*y**3 + 29/30*y**6 + 10*y**2 + 1/84*y**8 + 0 + 5*y**4 + 6/35*y**7. Factor l(k).
4*(k + 1)**3*(k + 2)*(k + 4)
Suppose -3*d - 5*f = 40 - 4, 16 = -4*d + 4*f. Let i be (-26)/d - (-2)/7. Factor 10*k**3 + 8 - 2*k**4 - 16*k + 2*k**2 - 4*k**5 - i*k**5 + 6*k**5.
-2*(k - 1)**3*(k + 2)**2
Let m be -6*(-4 + (-28)/(-8) - 0). Suppose -m*a = a - 148. Determine h so that -67*h**4 + a*h**4 + 15*h**4 + 5*h**3 = 0.
0, 1/3
Let r = -81 - -87. Factor 28*d**2 - 58*d**3 + r*d**5 + 32*d**4 + d**5 - 9*d**5.
-2*d**2*(d - 14)*(d - 1)**2
Let b be 23/(230/20) - -1. Let h(s) be the second derivative of 27/4*s**b - 3/8*s**4 - 243/4*s**2 + 1/120*s**5 + 0 + 34*s. Suppose h(n) = 0. Calculate n.
9
Let v be 1/5 + (-272)/(-760)*-1. Let d = v + 107/76. Determine q so that -5/4 - d*q**2 + 5/2*q = 0.
1
Suppose -23*y = -41*y + 15*y. Determine c, given that -10/9*c**3 - 2/9*c**2 + 2/9*c**4 + 10/9*c + y = 0.
-1, 0, 1, 5
Let y(o) be the second derivative of 82 - 1/180*o**5 - o + 0*o**3 - 1/36*o**4 + 0*o**2. Let y(c) = 0. What is c?
-3, 0
Let d(l) = 2*l**5 - l**4 - l**3 + l**2 + 3*l. Let m(k) = -8*k**5 - 30*k**4 - 14*k**3 + 190*k**2 - 6*k. Let a(n) = -2*d(n) - m(n). Factor a(s).
4*s**2*(s - 2)*(s + 4)*(s + 6)
Let b be 1*-2 + (-38095)/2660. Let l = b + 116/7. Solve 1/4*k**2 + l - 1/2*k = 0 for k.
1
Let x(c) = -10*c**3 - 3318*c**2 + 3327*c - 766. Let w(o) = 9*o**3 + 3319*o**2 - 3327*o + 777. Let v(t) = 6*w(t) + 5*x(t). Factor v(z).
(z + 832)*(2*z - 1)**2
Let y = -282 - -284. Find v, given that -390*v**3 - 355*v**2 - 5*v**5 + 138*v**y - 467*v**2 + 1517*v**4 - 216*v - 1594*v**4 = 0.
-6, -3, -2/5, 0
Factor 101343*s - 192 - 100591*s - 752*s**3 + 4*s**4 + 948 - 760*s**2.
4*(s - 189)*(s - 1)*(s + 1)**2
Let a(l) be the first derivative of -l**4/48 - 5*l**3/24 - 3*l**2/4 + 13*l - 109. Let z(v) be the first derivative of a(v). Suppose z(r) = 0. Calculate r.
-3, -2
Let d(z) be the first derivative of -z**3/18 + 2*z**2/3 + 11*z/2 - 488. Factor d(g).
-(g - 11)*(g + 3)/6
Determine z so that 199344128 + 1104*z**2 - 812544*z - 1/2*z**3 = 0.
736
Let o = -324869/3 - -108303. Factor -4 - 4/3*v**4 - 8*v**3 - 16*v**2 - o*v.
-4*(v + 1)**3*(v + 3)/3
Let p(s) be the third derivative of -10/21*s**4 + 11/70*s**5 + 4/21*s**3 + 0*s + 2 + 9*s**2 + 9/140*s**6. What is q in p(q) = 0?
-2, 1/9, 2/3
Let z(f) be the second derivative of f**6/300 - f**5/15 + 5*f**4/12 - 11*f**2 + 6*f. Let c(o) be the first derivative of z(