-3*c**4/28 - 4*c**3 + 27*c**2/2 + 270*c/7 - 174. Factor h(v).
-3*(v - 3)*(v + 1)*(v + 30)/7
Factor -3*k**2 + 5/3*k + 4/3.
-(k - 1)*(9*k + 4)/3
Let -841/5 - 1/5*l**3 + 57/5*l**2 - 783/5*l = 0. Calculate l.
-1, 29
Let s(b) be the second derivative of b**7/2 - 87*b**6/10 + 813*b**5/28 + 3329*b**4/28 + 108*b**3 + 42*b**2 + 4*b - 9. Solve s(z) = 0 for z.
-1, -2/7, 7
Let l(k) be the third derivative of -k**5/12 + 5*k**4/3 - 10*k**3 - k**2 + 122*k. Factor l(q).
-5*(q - 6)*(q - 2)
Let w be (-4)/(-14) - 0/2. Let v(t) = -t**2 + 336*t - 18021. Let n be v(67). Let -4/7 - 6/7*g - w*g**n = 0. Calculate g.
-2, -1
Let m = 16 - 13. Suppose -4*a + m = -25. Factor -4*r**3 - a*r**4 + 3*r**4 + 5*r**2 + 3*r**2.
-4*r**2*(r - 1)*(r + 2)
Let g(c) = 8*c**4 + c**3 + 13*c**2 + 9*c - 6. Let l(j) = -11*j**4 - j**3 - 19*j**2 - 13*j + 9. Let w(s) = -7*g(s) - 5*l(s). Let w(y) = 0. What is y?
-3, -1, 1
Determine u, given that -1284 + 52*u**3 + 284 - 111*u + 180*u**2 + 11*u + 4*u**4 = 0.
-5, 2
Let r(i) be the third derivative of i**6/120 + i**5/8 + i**4/2 + 2*i**3/3 + 11*i**2. Let h(n) be the first derivative of r(n). Factor h(l).
3*(l + 1)*(l + 4)
Suppose -32*b + 292 = 100. Let y(d) be the third derivative of 0*d**b + 0*d + d**2 + 0 + 0*d**3 - 1/75*d**5 + 0*d**4 + 2/525*d**7. Factor y(k).
4*k**2*(k - 1)*(k + 1)/5
Let d = -22 - -30. Factor 14*f**3 - d + 32*f - 13*f - 46*f**2 - 9*f + 30*f.
2*(f - 2)*(f - 1)*(7*f - 2)
Factor -2/9*f**3 + 10/9 - 10/9*f**2 + 2/9*f.
-2*(f - 1)*(f + 1)*(f + 5)/9
Let u(r) be the third derivative of -r**5/5 + 13*r**4/12 - 2*r**3/3 + 80*r**2 - 2. Factor u(q).
-2*(q - 2)*(6*q - 1)
Let u(a) be the third derivative of -a**5/150 - 37*a**4/60 + 38*a**3/15 - 172*a**2. Factor u(y).
-2*(y - 1)*(y + 38)/5
Let x(f) be the second derivative of 12*f + 0 + 0*f**3 + 1/12*f**4 - 1/20*f**5 + 0*f**2. Factor x(c).
-c**2*(c - 1)
Let d be (-4)/14 - ((-2370)/1512)/5. Let j(a) be the third derivative of 4*a**2 - d*a**4 - 1/18*a**3 + 0 - 1/180*a**5 + 0*a. Factor j(r).
-(r + 1)**2/3
Let l(k) be the third derivative of -k**7/252 - 5*k**6/144 + 11*k**5/36 - 5*k**4/9 + 7*k**2 + 69. Factor l(b).
-5*b*(b - 2)*(b - 1)*(b + 8)/6
Let o(x) be the third derivative of x**7/1365 + 37*x**6/780 - 19*x**5/195 - 255*x**2. Factor o(c).
2*c**2*(c - 1)*(c + 38)/13
Let u(j) be the first derivative of 2*j**4 + 50*j**3/3 + 38*j**2 + 16*j + 555. Solve u(r) = 0 for r.
-4, -2, -1/4
Let a(u) be the second derivative of u**8/840 - u**7/420 - u**6/180 + u**5/60 + u**3/2 - 32*u. Let h(t) be the second derivative of a(t). What is y in h(y) = 0?
-1, 0, 1
Let s = -53 + 23. Let f = 33 + s. Factor 2/5*q**5 + 36/5*q**f - 14/5*q**4 + 16/5*q + 0 - 8*q**2.
2*q*(q - 2)**3*(q - 1)/5
Let a(p) be the second derivative of 5*p**4/36 + 7*p**3/18 - 2*p**2 + 104*p. Find w, given that a(w) = 0.
-12/5, 1
Let j = -5 + 8. Suppose -p = -2 - j. Find h such that -2*h**2 + 6*h**5 - 3*h**5 - 5*h**p + 2*h - 2*h**2 + 4*h**4 = 0.
-1, 0, 1
Suppose 14 = 5*s + 3*q + 2, s + 8 = 2*q. Let f(d) = -d**3 - d**2 + 5. Let v be f(s). Find i, given that 0*i**2 + 0*i**4 + 2/3*i + 2/3*i**v - 4/3*i**3 + 0 = 0.
-1, 0, 1
Suppose -m = -0 - 2. Let 4*c**2 - 3*c**4 + 3*c - 5*c**3 - c**2 + m*c**3 = 0. What is c?
-1, 0, 1
Let a(f) be the third derivative of 0 + 1/12*f**4 - 2/21*f**3 + 1/84*f**6 - 3/70*f**5 + 0*f - 1/735*f**7 - 12*f**2. Factor a(p).
-2*(p - 2)*(p - 1)**3/7
Let u(h) be the first derivative of -49/6*h**3 - 51 - 1/8*h**6 + 0*h - 175/16*h**4 - 11/5*h**5 + 0*h**2. Factor u(l).
-l**2*(l + 7)**2*(3*l + 2)/4
Let x be 60/18*1 - 2/6. Factor -x*v + 7 - 3*v + 0*v - 2 + v**2.
(v - 5)*(v - 1)
Let d = 2526/5 - 505. Let p = -957/5 + 192. Solve 2/5 - p*q + d*q**2 = 0 for q.
1, 2
Let c = 0 + 1. Suppose 2*i - 5 = -c. Factor 6 - 18*w**i + 0 + 13*w - 8.
-(2*w - 1)*(9*w - 2)
Suppose f - 4*j = 13 - 2, 0 = 5*j + 10. Factor -4*w**5 - 2*w**f - 4*w**4 - 273*w**2 + 277*w**2 + 6*w**3.
-4*w**2*(w - 1)*(w + 1)**2
Let m(v) = 16*v**4 + 120*v**3 + 176*v**2 + 28*v + 28. Let r(j) = -3*j**4 - 22*j**3 - 32*j**2 - 5*j - 5. Let i(b) = 5*m(b) + 28*r(b). Factor i(c).
-4*c**2*(c + 2)**2
Let q(f) be the first derivative of 10*f**3/3 + 32*f**2 + 160*f - 6. Let s(k) = 2*k**2 + 13*k + 32. Let n(x) = -3*q(x) + 16*s(x). Solve n(o) = 0 for o.
-4
Let u(q) be the third derivative of 11/525*q**7 + 0*q + 0*q**3 + 6*q**2 + 0 + 2/75*q**5 + 49/900*q**6 - 1/45*q**4. Let u(o) = 0. What is o?
-1, -2/3, 0, 2/11
Suppose -2*q - 25 = -5*x, -4*x + 20 = 2*q + 3*q. Factor -5*p**4 - p**2 - 15*p**3 + q*p**2 - 9*p**2.
-5*p**2*(p + 1)*(p + 2)
Factor 13/8*v**3 + 1/8*v**4 + 5/4 + 31/8*v + 33/8*v**2.
(v + 1)**3*(v + 10)/8
Let u(l) be the third derivative of -1/6*l**3 + 0*l + 2*l**2 + 1/20*l**5 - 1/120*l**6 - 1/105*l**7 + 0 + 1/24*l**4. Factor u(v).
-(v - 1)*(v + 1)**2*(2*v - 1)
Let v = 12794 - 12791. Determine u so that 2/3*u**2 - 4/3*u + 1/3*u**v - 8/3 = 0.
-2, 2
Let h(g) be the first derivative of 0*g + 4/115*g**5 + 27 - 4/69*g**3 + 1/69*g**6 - 1/23*g**2 + 0*g**4. Suppose h(z) = 0. What is z?
-1, 0, 1
Let z = -10 - -13. Let t be -2 - (34/(-51) - (3 - 1)). Determine u, given that -1/3*u**2 - 5/3*u + 5/3*u**z + u**4 - t = 0.
-1, -2/3, 1
Let s(u) be the third derivative of u**8/336 - u**7/105 - u**6/60 + u**5/15 + u**4/24 - u**3/3 - 36*u**2 - 1. Factor s(f).
(f - 2)*(f - 1)**2*(f + 1)**2
Suppose -316*u + 316*u - 2*p = 0, 3*p = 4*u. Suppose 1/9*j**2 - 1/9*j + u = 0. What is j?
0, 1
Let h(i) = -2*i**3 + i**2 + 3*i + 1. Let l(y) = 7*y**3 - 29*y**2 + 39*y - 23. Let r(j) = 2*h(j) + l(j). Factor r(b).
3*(b - 7)*(b - 1)**2
Factor 1/4*y**2 + 1/2*y - 3/4.
(y - 1)*(y + 3)/4
Suppose 5*j - 15 = 5*p, -27*p = -5*j - 32*p + 5. Let u(h) be the first derivative of -1/2*h**4 + 0*h - 2/5*h**5 + 4 + h**j + 2/3*h**3. Factor u(c).
-2*c*(c - 1)*(c + 1)**2
Let l(r) = -r**2 + 12*r - 7. Let t be l(9). Suppose n = -3*q + 5, -5*q + 4*n + t = 6. Factor c**4 + 9*c**q - 12*c + 12*c**3 + 2*c**4 - 2 - 10.
3*(c - 1)*(c + 1)*(c + 2)**2
Let d(o) be the first derivative of -o**6/18 + 14*o**5/15 - 15*o**4/4 - 766. Factor d(i).
-i**3*(i - 9)*(i - 5)/3
Determine g, given that 0 + 144/5*g + 42/5*g**5 - 408/5*g**2 - 348/5*g**3 + 6*g**4 = 0.
-2, 0, 2/7, 3
Let d(m) = 2*m - 7. Let t(h) = -h**2 - 12*h - 6. Let c be t(-11). Let o be d(c). Factor -4*s - 2*s**o + 2*s**2 - 5*s**2 - s**2 + s**3.
-s*(s + 2)**2
Let l(y) be the second derivative of -y**5/20 - y**4/4 + 2*y**3/3 + y + 19. Factor l(u).
-u*(u - 1)*(u + 4)
Let z(i) = i**3 - 3*i**2 + i + 2. Let d(a) = -10*a**3 + 4*a**2 + 46*a - 52. Let t(g) = -d(g) - 12*z(g). Suppose t(q) = 0. Calculate q.
1, 14
Suppose h = -19 + 22. Let y = 24 + -20. Determine t so that -4/3*t + 2*t**y - 8/3*t**2 + 4/3*t**h + 2/3 = 0.
-1, 1/3, 1
Let r(u) be the third derivative of 0 + 0*u - u**2 + 5/6*u**3 - 1/80*u**5 + 0*u**4 - 1/720*u**6. Let z(w) be the first derivative of r(w). Factor z(j).
-j*(j + 3)/2
Let l be (-4 + 58/14)/(4/((-60)/(-5))). Factor -12/7*y - 12/7*y**3 - 18/7*y**2 - l*y**4 - 3/7.
-3*(y + 1)**4/7
Let q be (-6*(-4)/6)/((-72)/420). Let z = -23 - q. Determine r so that 1/3*r**4 - z + 2/3*r**3 - 2/3*r + 0*r**2 = 0.
-1, 1
Let h(u) be the first derivative of -u**6/30 + 4*u**5/25 - u**4/20 - 2*u**3/5 + 172. Find j, given that h(j) = 0.
-1, 0, 2, 3
Let h(g) = 21*g**3 - 69*g**2 + 131*g. Let m(o) = -4*o**3 + 14*o**2 - 26*o. Let n(k) = -2*h(k) - 11*m(k). Suppose n(z) = 0. Calculate z.
0, 2, 6
Let z(i) be the first derivative of -i**5/270 + i**4/36 + 4*i**3/27 + 19*i**2 + 20. Let m(u) be the second derivative of z(u). Find o, given that m(o) = 0.
-1, 4
Let i(w) = w**2 - 6*w + 7. Let x be i(5). Suppose -11*f + 17*f + 2 - 2*f**2 + x - 8 = 0. Calculate f.
1, 2
Let g(o) = o**2 + 24*o + 25. Let v be g(-23). Suppose -v*d + 0 = -3*f + 4, -2 = f - 4*d. Suppose 13/2*m**f + 3*m**3 + 6*m + 1/2*m**4 + 2 = 0. What is m?
-2, -1
Let h(s) = -3*s**2 + 54*s + 246. Let l(a) = -a + 5. Let b(w) = -h(w) + 18*l(w). Factor b(c).
3*(c - 26)*(c + 2)
Let o be ((-8)/(-6))/(2/6). Let g be 3/(-12) - 52/(-16). Determine u, given that -u + 2*u**3 + 2*u**g - 4 - o*u + 4*u**2 + u = 0.
-1, 1
Let i = -942 + 942. Let r(l) be the first derivative of l + 1/5*l**5 + i*l**4 - 2/3*l**3 + 13 + 0*l**2. Factor r(w).
(w - 1)**2*(w + 1)**2
Suppose -33*u + 78*u = 180. Let j(w) be the second derivative of 0*w**2 - 1/4*w**4 + 0 - u*w + 0*w**3. Solve j(v) = 0.
0
Let y(n) be the 