 - 3*l**4/44 - 55*l**2. Factor t(j).
-2*j*(j - 3)**2/11
Let h(u) be the third derivative of -u**6/140 + u**5/15 + 5*u**4/84 - 2*u**2 - 8*u. Factor h(s).
-2*s*(s - 5)*(3*s + 1)/7
Let i(g) be the second derivative of -g**4/6 + 2*g**3/3 + 3*g**2 + g + 7. Factor i(q).
-2*(q - 3)*(q + 1)
Let z = -74 - -61. Let b(q) = 15*q**2 + 7*q. Let w(f) = 7*f**2 + 3*f. Let i(k) = z*w(k) + 6*b(k). Factor i(l).
-l*(l - 3)
Let y = -4063/246 - -2/123. Let q = y + 18. What is v in 1/4*v**2 + 9/4 + q*v = 0?
-3
Let b = 5 - -1. Factor p - 3 + 7 - b + p**2.
(p - 1)*(p + 2)
Let j(z) = 19*z**3 - 1599*z**2 + 51473*z + 26136. Let c(x) = 13*x**3 - 1067*x**2 + 34315*x + 17424. Let y(t) = -7*c(t) + 5*j(t). Factor y(v).
2*(v - 66)**2*(2*v + 1)
Let v = -3795/16 - -49367/208. Factor -2/13*c**3 + v*c - 2/13*c**2 + 2/13*c**4 + 0.
2*c*(c - 1)**2*(c + 1)/13
Let f(w) be the first derivative of -3*w**3/4 + 29*w**2/8 - 3*w/2 - 126. Suppose f(j) = 0. Calculate j.
2/9, 3
Suppose -v = 14 - 11. Let p be (-15)/12 + (1 - v). Factor p*a**2 - 1 - 2*a - 3/4*a**3.
-(a - 2)**2*(3*a + 1)/4
Let a(b) = -b**3 + 14*b**2 - 13*b + 18. Let l be a(13). Solve -5*k**4 - 22*k**2 - 42*k**3 + 6*k + 45 - l*k**2 + 12*k**3 + 24*k = 0 for k.
-3, -1, 1
Let z = 18 + -3. Find n such that -8*n**3 + 14*n**2 + z*n + 6*n**3 - 15*n = 0.
0, 7
Suppose w - 18 = -2*w. Let a be (1*15/4)/(15/18). Solve -12*o + a*o**2 + w = 0.
2/3, 2
Suppose 3*c - 4 = 8. Suppose 0*p**2 + 176*p - 180*p - c*p**2 + 4*p**3 + 4*p**4 = 0. What is p?
-1, 0, 1
Let u(l) be the first derivative of 1/6*l**6 + 1/2*l**3 + 21/20*l**5 + 0*l + 6 + 29/16*l**4 + 0*l**2. Find c such that u(c) = 0.
-3, -2, -1/4, 0
Let h(r) = r**2 - 6*r - 67. Let y be h(12). Let l(a) be the first derivative of 2/3*a**3 - 1/5*a**y + 0*a**2 + 1 - a + 0*a**4. What is v in l(v) = 0?
-1, 1
Let o(i) = -5*i**3 - 3*i**2 - 10*i + 8. Let v(q) = 9*q**3 + 8*q**2 + 20*q - 14. Let m(z) = 7*o(z) + 4*v(z). Find s such that m(s) = 0.
-10, -1, 0
Let q = -1815/26 - -966/13. Let o(k) be the first derivative of q*k**4 - 3/5*k**5 - 12*k - 8 - 13*k**3 + 18*k**2. Factor o(v).
-3*(v - 2)**2*(v - 1)**2
Find i, given that 136/3*i - 233/3*i**3 - 85/3*i**4 + 137/3*i**2 + 20/3 + 25/3*i**5 = 0.
-2, -2/5, -1/5, 1, 5
Let s(w) be the third derivative of w**8/3780 + w**7/630 + w**6/405 + 19*w**3/3 + 40*w**2. Let j(n) be the first derivative of s(n). Factor j(z).
4*z**2*(z + 1)*(z + 2)/9
Let m be (-158)/96 + (-3)/(-72)*40. Let j(p) be the second derivative of -m*p**4 + 0 - 1/12*p**3 - 2*p - 1/8*p**2. Factor j(y).
-(y + 1)**2/4
Let v be (1*6/(-27))/(30/(-45)). Let m(z) be the second derivative of z - 1/6*z**4 - v*z**3 + 1/10*z**5 + 0 + z**2. Factor m(u).
2*(u - 1)**2*(u + 1)
Let 912*q**2 + 1151*q**3 + 166*q**4 - 4349*q**3 - 145*q**4 = 0. What is q?
0, 2/7, 152
Determine b so that 3*b + 42/5 - 3/5*b**2 = 0.
-2, 7
Let o = -26164 + 26164. Let s(x) = -x**2 - x + 2. Let b be s(0). What is c in 0 + 1/4*c**b - 1/4*c**3 + o*c = 0?
0, 1
Suppose 11*v = 8*v - 5*v. Factor 0*x**2 - 2/13*x**4 + 0*x + v*x**3 + 0.
-2*x**4/13
Suppose -15/2*o**3 - 15/2*o**2 - 5/2*o - 5/2*o**4 + 0 = 0. Calculate o.
-1, 0
Let r(x) = 36 + 2*x - 9 + 3*x. Let q be r(-5). Solve 2/7*j**3 + 0 + 2/7*j**q + 0*j = 0 for j.
-1, 0
Suppose -19536 - 17117 - 5*f**3 - 41912*f - 10103*f - 1015*f**2 - 14352 = 0. What is f?
-101, -1
Let h be (-8400)/459 + 19 - (-1)/(-9). Factor 4/17 + 6/17*t**2 + 2/17*t**3 - h*t - 2/17*t**4.
-2*(t - 1)**3*(t + 2)/17
Let s = 102709/3 - 34235. Factor -s*u + 0 - 2/3*u**3 - 2*u**2.
-2*u*(u + 1)*(u + 2)/3
Suppose v = 4*v - 12. Factor -6*l**3 - 4*l**2 + 4*l - 5 + 2*l**3 + 13 - v*l**2.
-4*(l - 1)*(l + 1)*(l + 2)
Suppose 5*x - 1 = k, 4*x - 13*k + 15*k + 2 = 0. Factor -f**2 + 2*f**3 - 5/4*f**4 + x + 0*f + 1/4*f**5.
f**2*(f - 2)**2*(f - 1)/4
Let z be 1*(5 + (-1 - 2)). Find o such that -2*o**3 + 3*o**2 + 119*o**4 - 120*o**4 - 4*o**z = 0.
-1, 0
Let j(a) = -a**2 + 5*a + 18. Let u be j(7). Let i(x) be the second derivative of 0*x**u - 2*x**3 + 10*x + 0 - 4*x**2 + 1/5*x**5. What is c in i(c) = 0?
-1, 2
Let r(n) = -n**2 + 10*n - 7. Let s be r(6). Suppose 2*u = m + 4, 5*m = m - 3*u + s. Let 9*z**m - 3*z - 3*z + 18*z**2 = 0. What is z?
0, 2/9
Determine k, given that 10*k**4 + k - 10*k**2 - 101*k**5 + 96*k**5 + 4*k = 0.
-1, 0, 1
Let a = -21923/36 + 609. Let d(i) be the third derivative of -a*i**4 + 0 - 1/270*i**5 + 0*i + 0*i**3 - 4*i**2. What is c in d(c) = 0?
-3, 0
Let o(f) be the first derivative of 4*f**5/5 - 76*f**3/3 + 12*f**2 + 288*f - 180. Factor o(m).
4*(m - 3)**2*(m + 2)*(m + 4)
Let z(r) = -26*r**3 - 8*r**2 - 64*r + 128. Let y(n) = -32*n**3 - 8*n**2 - 64*n + 128. Let u(w) = 5*y(w) - 6*z(w). Suppose u(q) = 0. Calculate q.
-4, 2, 4
Let i(v) = -v**3 + 8*v**2 - 13*v + 26. Let c be i(5). Let f be (-10)/(-4) - c/24. Factor 11/2*k - f + 7/2*k**3 - 8*k**2.
(k - 1)**2*(7*k - 2)/2
Factor -1018*t**2 - 81466 + 1004*t - 44536 + 1016*t**2.
-2*(t - 251)**2
Let h(r) be the first derivative of -8/5*r**2 - 16/15*r**3 - 14 + 7/5*r**4 + 2/5*r**6 + 8/5*r**5 + 0*r. Solve h(z) = 0 for z.
-2, -1, 0, 2/3
Let p = -22 + 32. Suppose 5*t - 19 = 2*v, -2*t + 9 = 3*v - p. Solve 7*d - d**3 - d - 12*d**2 - 3*d**4 - 2*d**3 - 1 + 13*d**v = 0.
1/3, 1
Let c(g) be the first derivative of -1/8*g**4 - 1/2*g - 3/4*g**2 - 21 + 5/8*g**3. Determine r, given that c(r) = 0.
-1/4, 2
Let a be 144/288 - (5/4 - 1). Let c(n) be the first derivative of a*n**3 + 3/4*n**2 + 3/4*n + 5. Factor c(w).
3*(w + 1)**2/4
What is k in 21*k**2 + 10*k**2 - 15*k + 72 - 34*k**2 = 0?
-8, 3
Determine h so that -115*h - 2*h**2 + 52*h + 48*h - 3*h**2 = 0.
-3, 0
Suppose -5 = -2*q + 13. Suppose -q*x - 3*f = -4*x - 10, -x = f - 2. Factor -2*v**x + 3/2*v**3 + 1/2*v**5 - 2*v + 0 + 2*v**4.
v*(v - 1)*(v + 1)*(v + 2)**2/2
Let v = -3/142 - -37/71. Let l(g) be the first derivative of -4 + 0*g + 0*g**3 - 2/5*g**5 - v*g**4 + 0*g**2. Determine w, given that l(w) = 0.
-1, 0
Let b(i) be the third derivative of 5*i**8/336 - 23*i**7/210 + i**6/24 + 17*i**5/20 + 3*i**4/4 - 35*i**2. Factor b(c).
c*(c - 3)**2*(c + 1)*(5*c + 2)
Let h(f) be the third derivative of -f**5/45 + 5*f**4/9 - 50*f**3/9 - 618*f**2. Determine g so that h(g) = 0.
5
Factor 27 + 4*t**3 + 16*t**2 - 99 - 32*t + 40*t - 20*t.
4*(t - 2)*(t + 3)**2
Let h(p) be the second derivative of -p**7/70 + 13*p**6/75 - 17*p**5/50 - 9*p**4/5 + p**3/6 + 5*p**2 - 271*p. Let h(w) = 0. What is w?
-1, 2/3, 5
Let a be (-31)/(-62)*(1 + 0). Let f = -33 + 67/2. Factor f*o**2 + a - o.
(o - 1)**2/2
Let n(j) be the third derivative of 0*j**4 + 0*j**3 + 1/420*j**6 + 0*j + 0*j**5 - 1/1176*j**8 + 0 - 25*j**2 + 0*j**7. Find b such that n(b) = 0.
-1, 0, 1
Let o be ((-3)/2)/(2/(-4)). Suppose 0*m - o = -3*m. Factor r - m - 2*r**2 + 1 - r**3 + 2*r.
-r*(r - 1)*(r + 3)
Let u be (8 - 17)*2/6. Let y be ((-156)/32 - u) + 2. Suppose 1/8*x**2 - 1/8*x**3 + 0 + 1/8*x - y*x**4 = 0. Calculate x.
-1, 0, 1
Factor -568*o - 188*o**2 - 1 + 196*o + 176*o - 7.
-4*(o + 1)*(47*o + 2)
Suppose 14*s**2 - 4*s**2 - 6*s - 13 - 5 + 0*s**2 - 2*s**3 = 0. Calculate s.
-1, 3
Let v = -44 - -47. Suppose -2*i - 8 = -4*q + v*i, 5*i = -2*q + 4. Find j such that 0*j + 2/3*j**5 + 2*j**3 + 0 - q*j**4 - 2/3*j**2 = 0.
0, 1
Let d = -2/2581 + 2585/5162. Let 5/2*s - d*s**3 + 3/2 + 1/2*s**2 = 0. What is s?
-1, 3
Let x be (17/66*1)/(4/12). Let v = x - 3/11. Factor -v*q**2 - 1/2*q**4 + q**3 + 0*q + 0.
-q**2*(q - 1)**2/2
Let t(b) be the third derivative of b**5/120 - 17*b**4/48 - 7*b**3 - 207*b**2. Suppose t(u) = 0. Calculate u.
-4, 21
Let k(l) be the first derivative of 6/5*l**2 + 24/5*l - 3/4*l**4 + 22 - 3/25*l**5 - 6/5*l**3. Solve k(y) = 0.
-2, 1
Suppose 5*w + 228 = -3*z + 234, 3*w - 8 = -4*z. Factor 6/7*y + w + 15/7*y**2 + 12/7*y**3 + 3/7*y**4.
3*y*(y + 1)**2*(y + 2)/7
Let g(x) = x**5 + x**4 - x**3 + x**2 - x - 1. Let n(f) = -3*f**5 - 3*f**4 + 2*f**3 - 6*f**2 + 5*f + 5. Let i(b) = -12*g(b) - 3*n(b). Factor i(m).
-3*(m - 1)**2*(m + 1)**3
Let a be 12 - (-216)/(-120)*10/3. Let u(p) be the first derivative of 2/7*p - 4/21*p**3 + 1/7*p**2 + 1/21*p**a + 3 + 2/35*p**5 - 1/7*p**4. Factor u(l).
2*(l - 1)**2*(l + 1)**3/7
Let z(b) be the second derivative of b**7/840 - b**6/240 - 5*b**4/6 - 4*b. Let d(v) be the third derivative of z(v). Factor d(q).
3*q*(q - 1)
Let g be 234/(-52)*(-2)/3. Let v(x) be the first derivative of -2 + 1/14*x**4 - 4/7*x**2 + 8/7*x -