**4 + 5*j**2 - 10*j**w - 3*j**3 - j**2 + 4*j**2.
-j**2*(j + 1)*(j + 2)
Let g = 4069/3252 - 1/813. Factor 1/2*c + 3/4*c**3 - 1/4*c**4 - 1/4*c**5 + 0 + g*c**2.
-c*(c - 2)*(c + 1)**3/4
Let n(h) = h**2. Let v(y) = -y**2 + 4*y + 4. Let u(g) = -2*n(g) - v(g). Let u(l) = 0. What is l?
-2
Let i(u) be the third derivative of u**5/20 + 13*u**4/4 + 169*u**3/2 + 4*u**2 - 2*u. Determine f, given that i(f) = 0.
-13
Let q = 4456 - 31190/7. Suppose 0 = -5*s - a, 0 = 3*a + 2*a. Let q*j**3 + s - 4/7*j**2 + 2/7*j = 0. What is j?
0, 1
Suppose 2*h + o + 14 = -3*o, -3*h = -4*o - 29. Determine z, given that 6/13*z**h - 4/13*z**2 - 4/13 - 14/13*z = 0.
-1, -1/3, 2
Let v(a) = 11*a**4 + 25*a**3 + 142*a**2 + 148*a + 41. Let g(u) = 8*u**4 + 16*u**3 + 95*u**2 + 99*u + 27. Let q(k) = 7*g(k) - 5*v(k). Factor q(b).
(b - 16)*(b + 1)**3
Let g(d) be the third derivative of d**6/120 - 7*d**5/60 + d**4/4 + 2*d**2 - 83. Factor g(h).
h*(h - 6)*(h - 1)
Solve -4 + 6*q**3 - 35*q**2 + 72*q**2 - 41*q**2 - 14*q = 0.
-1, -1/3, 2
Let o(f) = -8*f**2 - 36*f - 162. Suppose -2*i + 3 = j + i, i + 25 = 4*j. Let b(y) = 9*y**2 + 36*y + 162. Let s(r) = j*b(r) + 7*o(r). Let s(n) = 0. What is n?
-9
Let q be (-8)/(-3) - 2/3. Let w(z) = z - 2. Let l be w(6). Suppose -6*p**3 - 2*p**l - 4*p**2 - 2*p + q*p**2 - 4*p**2 = 0. What is p?
-1, 0
Let o(c) be the third derivative of 16*c**2 + 0*c + 0*c**4 + 0 + 1/180*c**5 + 0*c**3. Factor o(y).
y**2/3
Let t(s) be the second derivative of -s**5/110 + 5*s**4/3 - 275*s**3/3 + 189*s + 2. Factor t(m).
-2*m*(m - 55)**2/11
Factor 1210*c + 44*c**2 + 2/5*c**3 + 0.
2*c*(c + 55)**2/5
Let l be -5 - ((-105)/10 + 9/6). Factor 0*t + 56/11*t**3 + 0 - 98/11*t**l - 8/11*t**2.
-2*t**2*(7*t - 2)**2/11
Let q(b) = 5*b**2 - b + 5. Suppose -4*g + 8*g + 19 = a, g = -4. Let y(r) = r**2 + r + 1. Let h(x) = a*y(x) - q(x). Factor h(p).
-2*(p - 1)**2
Let i(k) be the first derivative of 0*k**2 + 7*k - 11 + 1/8*k**3 - 1/4*k**4. Let a(m) be the first derivative of i(m). Factor a(s).
-3*s*(4*s - 1)/4
Let h = -438 + 438. Suppose 0*f + h + 2/3*f**2 = 0. Calculate f.
0
Let y be 0 + 0/1 + 0. Let o = 41 + -35. Factor 0 + y - l**2 - 5*l + o*l.
-l*(l - 1)
Let q(t) be the third derivative of -t**8/10080 + t**7/630 - 2*t**5/5 - t**2. Let x(w) be the third derivative of q(w). Factor x(d).
-2*d*(d - 4)
Let q(a) = a**3 - 9*a**2 - 15*a + 16. Let h(x) = -4*x**2 - 8*x + 8. Let v = -4 + -3. Let c(f) = v*h(f) + 4*q(f). Find t such that c(t) = 0.
-1, 1, 2
Let p(h) = -h**4 + 290*h**3 + 1950*h**2 - 2261*h. Let g(z) = -58*z**3 - 390*z**2 + 452*z. Let x(q) = 22*g(q) + 4*p(q). Let x(y) = 0. What is y?
-15, 0, 1
Let t(x) = 3*x**2 + 21*x - 59. Let g(n) = -n**2 - 11*n + 29. Let w(f) = -5*g(f) - 3*t(f). Factor w(i).
-4*(i - 2)*(i + 4)
Let b = 3 - 1. Suppose d + b*d = 18. Solve 12*m - 12 + 10*m**2 - d*m**3 + 4*m**4 - 3*m**4 - 4*m**4 - m**2 = 0 for m.
-2, 1
Let r(o) be the third derivative of -o**3 + 3/40*o**5 + 8*o**2 + 0 - 1/4*o**4 + 0*o. Factor r(s).
3*(s - 2)*(3*s + 2)/2
Let s be 4/12 - (-4)/(-12). Suppose 5*t - 2 - 8 = s. Determine f, given that -4 - 3*f**2 + 10*f + t*f**3 - 2*f**2 - 3*f**2 = 0.
1, 2
Suppose 6*h + 3*h = 351. Factor 4*w**3 + 21 - h + 18 - 16*w**2.
4*w**2*(w - 4)
Let s = -855 + 5991/7. Find i such that -3/7*i**2 + s - 3/7*i = 0.
-2, 1
Factor 290*m**5 - 11*m**4 - 289*m**5 + 14*m**3 + 7*m**4 - 11*m**4.
m**3*(m - 14)*(m - 1)
Suppose 0 = 5*q - 2*k - k - 12, -4*q + 16 = 4*k. Suppose -2*j = -b - 0*b - 10, 4*b + 20 = q*j. Factor -2*m - j*m + 0*m + 3*m - 4 + m**2.
(m - 4)*(m + 1)
Let x(k) be the third derivative of 2*k**7/525 - k**6/50 + k**5/75 + k**4/10 - 4*k**3/15 + k**2 - 32. Factor x(g).
4*(g - 2)*(g - 1)**2*(g + 1)/5
Let u(t) be the second derivative of 7/9*t**3 - 2/3*t**2 - 1/10*t**5 - 13*t - 1/9*t**4 + 0. Factor u(k).
-2*(k - 1)*(k + 2)*(3*k - 1)/3
Let c = -2196/7 + 314. Let d = -3347/7 - -479. Determine t, given that -c - 6/7*t - d*t**2 - 2/7*t**3 = 0.
-1
Let o(k) be the second derivative of -k**6/225 + k**5/150 + 33*k. Let o(v) = 0. What is v?
0, 1
Let x(k) = k**5 + k**4 + 2*k**3 - k**2. Let l(s) = -24*s**4 - 4*s**3 + 72*s**2 - 88*s + 32. Let i(j) = l(j) + 4*x(j). Let i(f) = 0. What is f?
-2, 1, 4
Let h(o) be the third derivative of -o**2 + 2/35*o**7 - 64/15*o**3 + 9 + 16/5*o**4 - 19/150*o**6 - 1/210*o**8 - 58/75*o**5 + 0*o. Find a such that h(a) = 0.
-2, 1/2, 1, 4
Let g(l) be the first derivative of l**7/280 - l**6/30 + l**5/10 - 4*l**3 + 5. Let r(i) be the third derivative of g(i). Let r(d) = 0. What is d?
0, 2
Let u be (4/42)/(352/154). Let f(l) be the third derivative of -1/480*l**6 - 1/32*l**4 + 1/80*l**5 + 0*l + u*l**3 + 0 - 7*l**2. What is w in f(w) = 0?
1
Factor 105*g**2 - 105*g**2 - 144*g**2 + 3*g**3 - g**3.
2*g**2*(g - 72)
Factor 16/5 + 1331716/5*s**2 - 9232/5*s.
4*(577*s - 2)**2/5
Let r(x) = -x**2 - 6*x + 8. Let g be r(-7). Factor -9 + 0*v**2 - 20*v**2 - 28*v + g.
-4*(v + 1)*(5*v + 2)
Suppose -34 + 16 = -9*u. Let w(y) = -2*y - 1. Let m be w(-2). Let -2*b - 5 + 13 - b**u + m*b**2 - 6*b = 0. What is b?
2
Suppose 2*b - 4 = 2*x, -29*b = x - 33*b + 8. Suppose 0 + x*k + 1/2*k**4 - k**3 + 1/2*k**2 = 0. What is k?
0, 1
Suppose i + 2*i = -3*f - 18, 2*f + 5*i + 18 = 0. Let l be f/8*(-60)/70. Factor l*y**2 + 6/7 + 9/7*y.
3*(y + 1)*(y + 2)/7
Let q(v) be the first derivative of -1/4*v**2 - 7*v + 1/40*v**5 - 1/8*v**4 - 6 + 1/4*v**3. Let l(m) be the first derivative of q(m). Let l(p) = 0. What is p?
1
Suppose 16 = -6*y + 34. Let i(v) be the first derivative of 3/2*v**4 + 2/3*v**6 + 0*v**2 + 5 + 9/5*v**5 + 1/3*v**y + 0*v. Find w, given that i(w) = 0.
-1, -1/4, 0
Suppose 78 = 4*q + 14. Suppose n - 4 = h + h, -q = -h - 4*n. Solve h + 2/5*f**2 + 0*f = 0 for f.
0
Let d be 365/(-219)*36/(-50). Factor d*z + 2/5*z**3 + 2/5 + 6/5*z**2.
2*(z + 1)**3/5
Let l = -151/4 - -1813/48. Let w(t) be the third derivative of -1/480*t**6 + 1/80*t**5 - 9*t**2 + 0*t**3 + 0 + 0*t - l*t**4. Factor w(s).
-s*(s - 2)*(s - 1)/4
Suppose 0 = -10*y - y + 572. Solve 64*q - 281 - 44*q**3 - 23*q**4 - 20*q**5 - 45*q**4 + 297 + y*q**2 = 0 for q.
-2, -1, -2/5, 1
Let d(i) = -4*i - 19. Let u be d(16). Let y = 251/3 + u. Factor -8/3*n - 2*n**2 - y.
-2*(n + 1)*(3*n + 1)/3
Let a(g) be the third derivative of -5/1344*g**8 + 0 - 6*g**2 - 1/84*g**7 + 1/6*g**5 + 0*g + 35/96*g**4 + 1/48*g**6 + 5/12*g**3. Factor a(b).
-5*(b - 2)*(b + 1)**4/4
Factor 2/11*m**2 - 12/11 + 10/11*m.
2*(m - 1)*(m + 6)/11
Let g = -15/8 + 21/8. Let v(j) be the second derivative of -7*j + 3/2*j**2 + 0 - 3/2*j**3 - 3/20*j**5 + g*j**4. Factor v(d).
-3*(d - 1)**3
Let g(s) be the first derivative of -s**4 - 16*s**3/3 - 8*s**2 - 345. Find m, given that g(m) = 0.
-2, 0
Let d(m) be the third derivative of m**7/735 + m**6/56 - 2*m**5/105 + m**2 - 122*m. Factor d(a).
a**2*(a + 8)*(2*a - 1)/7
Factor 0 - 5/4*o**2 + 4*o**3 - 9/4*o**4 - 1/2*o.
-o*(o - 1)**2*(9*o + 2)/4
Let h(v) be the second derivative of -v**4/96 + v**3/12 - v**2/4 + 231*v. Solve h(y) = 0 for y.
2
Let f(c) be the first derivative of -c**5/10 - c**4/4 - c**3/6 + 23. Suppose f(l) = 0. Calculate l.
-1, 0
Let 4/5*q + 2/15*q**2 - 2/15*q**4 - 4/5*q**3 + 0 = 0. What is q?
-6, -1, 0, 1
Let t = 2 - -3. Suppose 6 = -t*n + 8*n. Determine d, given that -4/3*d + 1/3*d**3 + 8/3 - 2/3*d**n = 0.
-2, 2
Let b(l) be the second derivative of 35*l + 5/6*l**2 + 1/12*l**5 + 0 - 5/36*l**4 - 5/18*l**3. Determine r, given that b(r) = 0.
-1, 1
Suppose -3 - 15 = 3*p. Let a be (p/(-4))/(105/20) - 0. Factor a*j**5 + 38/7*j**3 + 8/7 + 50/7*j**2 + 2*j**4 + 32/7*j.
2*(j + 1)**3*(j + 2)**2/7
Let l(t) be the second derivative of -t**7/21 - t**6/3 + 7*t**5/10 + 5*t**4/6 - 2*t**3 + 373*t. Find f, given that l(f) = 0.
-6, -1, 0, 1
Let j(g) = 5*g - 22. Let q be j(5). Factor -3*v**3 - 185*v**2 + 193*v**2 - v**q.
-4*v**2*(v - 2)
Let v = -34 - -41. Let a(n) = -n**2 + 10*n + 2. Let f be a(10). Find r, given that 24*r**3 - 52*r**f - 26 + 48*r + 10 + 3*r**4 - v*r**4 = 0.
1, 2
Let z(t) = t**3 + 10*t**2 + 14*t + 47. Let j be z(-9). Let d(q) be the first derivative of -4 + 2*q**3 - 2*q**4 + 2/5*q**5 + 0*q**j + 0*q. Factor d(v).
2*v**2*(v - 3)*(v - 1)
Let w(l) be the first derivative of 1/15*l**6 - 1/2*l**4 + 0*l**5 - 5*l + 0*l**2 + 5 - 2/3*l**3. Let g(o) be the first derivative of w(o). Factor g(p).
2*p*(p - 2)*(p + 1)**2
Let h(r) = -r**3 - 9*r**2 + 34*r - 22. Let l be h(