 of 2*k**6/15 - 13*k**5/20 - 11*k**4/4 - 11*k**3/6 + 5*k**2/2 - 318*k. Factor a(q).
(q - 5)*(q + 1)**2*(4*q - 1)
Let v be 13/6 - 168/1008. Factor 80/7*u - 36/7*u**v - 48/7 + 4/7*u**3.
4*(u - 6)*(u - 2)*(u - 1)/7
Let k(b) be the first derivative of -1/84*b**4 + 8 + 1/42*b**3 + 7*b + 0*b**2. Let q(s) be the first derivative of k(s). Factor q(i).
-i*(i - 1)/7
Factor -2/7*g**2 - 32/7 - 16/7*g.
-2*(g + 4)**2/7
Let m be 1*-3*(-5 + 19/3). Let y(p) = -2*p**2 - 16*p + 22. Let b(r) = -2*r**2 - 16*r + 23. Let j(z) = m*b(z) + 5*y(z). Solve j(d) = 0.
-9, 1
Let w be 105/28 + (-2)/(24/9). Suppose 4*k + w*z - 5 = 0, 0*k + 5*z + 40 = 3*k. What is c in -2/7*c**k - 4/7*c**2 + 0 + 4/7*c**4 + 0*c**3 + 2/7*c = 0?
-1, 0, 1
Let d(h) be the first derivative of 3*h**5 - 6*h**4 - 24*h**3 + 48*h**2 + 48*h + 88. Factor d(c).
3*(c - 2)**2*(c + 2)*(5*c + 2)
Let f(i) be the third derivative of 2*i**5/45 - 5*i**4/12 - 4*i**3/9 + 2*i**2 - 6. Factor f(u).
2*(u - 4)*(4*u + 1)/3
Let g = 117 + -111. Suppose -6*q + q = 5*l - 110, -5 = -l. Factor q*r + 8*r + g*r**3 + 18*r**3 - 4 + 5*r - 62*r**2.
2*(r - 2)*(3*r - 1)*(4*r - 1)
Let h(g) be the first derivative of -g**6/300 - g**5/50 + g**4/15 + g**2 - 16. Let a(j) be the second derivative of h(j). Solve a(t) = 0.
-4, 0, 1
Suppose -7*d + 11*d = 0. Suppose 10 = 2*p - 3*i, d = -i - 3*i - 8. Factor 14*x + 18*x + 20 + 5*x**p - 7*x.
5*(x + 1)*(x + 4)
Let v(y) be the second derivative of -1/30*y**5 - 16/3*y**3 + 2/3*y**4 + 0 - 2*y + y**2. Let f(z) be the first derivative of v(z). Factor f(k).
-2*(k - 4)**2
Let n be 84/16 - (-2)/(-8). Let 7*v**4 - n*v**4 - 10*v + 5*v**3 + 5*v**5 - 17*v**4 + 15*v**2 = 0. Calculate v.
-1, 0, 1, 2
Let l(s) be the second derivative of -s**4/3 - 2*s**3 - 69*s. Factor l(o).
-4*o*(o + 3)
Let p be (96/15 + -4)*-5. Let q = p - -14. Find g such that -16*g + 8*g**q + 3*g**3 + 20*g + g**3 = 0.
-1, 0
Let v(k) be the third derivative of 0 + 0*k + 0*k**3 + 1/390*k**6 - 9*k**2 + 1/1365*k**7 - 1/390*k**5 - 1/78*k**4. What is r in v(r) = 0?
-2, -1, 0, 1
Determine h so that -15*h - 4*h**2 - 14884 - 349*h + 36*h - 160*h = 0.
-61
Let u(j) be the first derivative of 0*j**4 + 0*j - 6/25*j**5 + 1/10*j**6 + 2/5*j**3 + 14 - 3/10*j**2. Find q, given that u(q) = 0.
-1, 0, 1
Suppose -58723*g**2 - 51180*g**2 - 8 - 4339*g**2 - 1912*g = 0. What is g?
-2/239
Let t(j) be the third derivative of j**8/672 + j**7/420 - 13*j**6/120 - 7*j**5/10 - 3*j**4/2 + 266*j**2 - 2. Solve t(d) = 0 for d.
-3, -2, 0, 6
Solve -6/7*k + 22/7*k**2 + 0 - 10/7*k**3 - 6/7*k**4 = 0.
-3, 0, 1/3, 1
Factor 98/13*g - 68/13 + 6/13*g**2.
2*(g + 17)*(3*g - 2)/13
Let c = -17 - -19. Suppose 10 + 7*b**4 + 19*b + 22*b**c + 23*b**2 + 25*b**3 + 16*b - 2*b**4 = 0. Calculate b.
-2, -1
Let n(h) be the first derivative of 2*h**6/15 - 8*h**5/25 - 6*h**4/5 + 16*h**3/15 + 26*h**2/5 + 24*h/5 + 795. Find l, given that n(l) = 0.
-1, 2, 3
Let z(k) = 3*k**2 - 9*k. Let f(p) = p + 3*p + 49495*p**2 - 49497*p**2. Suppose -25 = 4*x + x. Let d(o) = x*f(o) - 2*z(o). Factor d(m).
2*m*(2*m - 1)
Let w(m) be the second derivative of -m**6/3 + 27*m**5/10 - 25*m**4/3 + 12*m**3 - 8*m**2 - 49*m. Determine c, given that w(c) = 0.
2/5, 1, 2
Determine m so that -76*m**3 - 2/5*m**4 - 23808/5*m**2 - 475136/5*m + 1048576/5 = 0.
-64, 2
Let g(l) be the second derivative of 0 - 15*l + 0*l**3 + 0*l**2 - 1/15*l**6 + 0*l**5 - 1/21*l**7 + 0*l**4. Factor g(y).
-2*y**4*(y + 1)
Let t be (-18)/(-8)*992/372. Let k(v) be the first derivative of 0*v**2 - 1/4*v**4 + 0*v + 2/5*v**5 + 3 + 0*v**3 - 1/6*v**t. Factor k(s).
-s**3*(s - 1)**2
Let v(r) = 1414*r**2 + 2720*r - 51. Let b(p) = 282*p**2 + 544*p - 10. Let g(k) = -22*b(k) + 4*v(k). Factor g(n).
-4*(n + 2)*(137*n - 2)
Let v(w) = -5*w**4 + 9*w**2 + 5*w - 13. Let o(c) = -c**4 - c**3 - 2. Let p(k) = -35*o(k) + 5*v(k). Factor p(x).
5*(x + 1)**3*(2*x + 1)
Let c(q) be the third derivative of -6*q**2 + 1/72*q**6 + q**3 + 0*q + 0*q**4 + 0*q**5 + 0. Let n(f) be the first derivative of c(f). Factor n(t).
5*t**2
Solve 4191*z**2 - 211*z + 49*z - 3645 + 98*z - 206*z - 4196*z**2 = 0.
-27
Let u(q) be the third derivative of 4/3*q**3 + 1/3*q**5 + 0*q + 0 + 14*q**2 - 7/6*q**4. Find m, given that u(m) = 0.
2/5, 1
Let a(b) be the third derivative of b**7/840 + b**6/80 + b**5/20 - 3*b**4/4 - 28*b**2. Let x(p) be the second derivative of a(p). Factor x(v).
3*(v + 1)*(v + 2)
Let m(d) = d**3 + 6*d**2 + 2. Let f be m(-6). Let s(l) be the first derivative of -3*l**f + l**3 + 0*l**2 - 6*l - 1 + 9*l. Solve s(r) = 0.
1
Let a(r) be the second derivative of -1/165*r**6 + 2*r - 2/11*r**2 + 1/22*r**4 + 1/33*r**3 - 1/110*r**5 + 0. Determine s, given that a(s) = 0.
-2, -1, 1
Factor -15*v**2 + 3*v**3 + 78*v**2 - 18*v**3 - 36*v + 21*v**4 - 195*v**2.
3*v*(v - 3)*(v + 2)*(7*v + 2)
Let j(d) be the third derivative of -1/210*d**5 + 0 + 4*d**2 - 1/42*d**4 + 0*d - 1/21*d**3. Solve j(q) = 0 for q.
-1
Let k(g) be the first derivative of -13*g**3/5 - 24*g**2/5 + 12*g + 743. Find p, given that k(p) = 0.
-2, 10/13
Let y(a) = 4*a**2 + 1541*a + 147446. Let t(n) = 4*n**2 + 1540*n + 147448. Let c(m) = 5*t(m) - 4*y(m). Solve c(b) = 0 for b.
-192
What is b in -5/2*b + 1/2 + 2*b**2 = 0?
1/4, 1
Let g(y) = y**2 - 55*y + 54. Let z(i) = i**2 - 55*i + 54. Let p(l) = -4*g(l) + 3*z(l). Factor p(n).
-(n - 54)*(n - 1)
Let l(b) = b**4 + b**2 - b + 2. Let k(p) = -8*p**4 + 9*p**3 + 7*p**2 - 4*p + 8. Let a(w) = -k(w) + 4*l(w). Solve a(g) = 0.
-1/4, 0, 1
Let z(r) = -r. Let u(n) = 6*n + 2. Let x(d) = -3*u(d) - 21*z(d). Let a be x(3). Factor -6*b**2 - 3*b + 0 - 3/4*b**4 - 15/4*b**a.
-3*b*(b + 1)*(b + 2)**2/4
Let w(z) be the third derivative of 30*z**2 + 0*z - 1/18*z**6 + 1/36*z**5 + 1/252*z**8 + 2/9*z**4 - 1/630*z**7 + 0 - 2/9*z**3. Determine m so that w(m) = 0.
-2, -1, 1/4, 1, 2
Solve -14760/7*z**2 - 192000/7 - 3/7*z**4 - 363/7*z**3 - 206400/7*z = 0.
-40, -1
Let o = -17605/3 - -5749. Let f = o - -120. Factor 1/3*r**3 + f*r + 0 + r**2.
r*(r + 1)*(r + 2)/3
Suppose -5*g + 34 = -3*v, -5*g - 3*v + 9 = -7. Factor -5*d**3 - 10*d**2 - 3*d**3 + g*d**3 + 7*d**2.
-3*d**2*(d + 1)
Let b(q) be the first derivative of -q**3 - 2 + 0*q + 3/2*q**2. Factor b(g).
-3*g*(g - 1)
Suppose -t - 154 = 5*c, 0 = -c + 6*c - 15. Let v = -1181/7 - t. Factor 2/7*a**3 + 0*a**2 + 0 - v*a.
2*a*(a - 1)*(a + 1)/7
Let z be (4 + 1300/(-324))/(2/(-6)). Let d = z - -23/108. Factor 1/2*s**3 + 1/4 - d*s**2 - 1/2*s.
(s - 1)*(s + 1)*(2*s - 1)/4
Let d(b) be the first derivative of b**4/14 - 2*b**3/21 - 30*b**2/7 - 275. Determine x, given that d(x) = 0.
-5, 0, 6
Let -9*i**2 - 15/2*i - 1/2*i**3 + 17 = 0. What is i?
-17, -2, 1
Let j(y) be the second derivative of 0 + 0*y**2 + 1/6*y**3 + 1/8*y**4 - 11*y + 1/40*y**5. What is g in j(g) = 0?
-2, -1, 0
Factor -3/4*u**3 + 15/4*u**2 - 9/4*u - 27/4.
-3*(u - 3)**2*(u + 1)/4
Suppose 4*l = -3*l. Let w(o) be the third derivative of 0*o**4 + 0*o**3 + 0 + l*o**5 + 0*o + o**2 + 1/600*o**6 - 1/1050*o**7. Factor w(a).
-a**3*(a - 1)/5
Suppose 20*j = 13*j + 21. Let l(r) be the third derivative of -3*r**2 - 3/20*r**5 + 0*r**4 + 0 + 2*r**j + 1/40*r**6 + 0*r. Factor l(k).
3*(k - 2)**2*(k + 1)
Suppose -5*i = 0, -5*w - 2*i - 2 = -7. Let c(r) = 3*r**2 + 4 - 18*r + 4*r - 5*r**2. Let m(s) = s - 1. Let z(b) = w*c(b) + 8*m(b). Factor z(j).
-2*(j + 1)*(j + 2)
Suppose -4 = 2*x + 3*u + 5, -2*x + 2*u = -16. Factor -12*v + 10 - 17*v**2 + 200*v**x - 7 - 13*v**2 - 1.
2*(4*v + 1)*(5*v - 1)**2
Suppose -5*j - 46 = -61. Let p(h) be the first derivative of 0*h + 0*h**j - 3 - 1/4*h**2 + 1/8*h**4. Solve p(x) = 0.
-1, 0, 1
Let b(s) = -s**3 + 3*s**2 + s + 1. Let l(j) = 2*j**3 - 17*j**2 - 16*j - 9. Let v(y) = 3*b(y) + l(y). Let v(a) = 0. What is a?
-6, -1
Solve -2/3*b**2 + 0 - 10/3*b = 0 for b.
-5, 0
Let a(b) = b. Let q be a(2). Factor 2 + 352*r**2 - 176*r**q + 2*r**4 - 180*r**2.
2*(r - 1)**2*(r + 1)**2
Suppose 0 = 3*c + k - 304, 5*k - 183 = -3*c + 137. Determine q so that c + 5*q**2 + 25 - 5*q - 54*q + 9*q = 0.
5
Let h(l) be the third derivative of l**5/12 - 5*l**4/12 - 23*l**2 + 6*l. Solve h(m) = 0.
0, 2
Let x = -6 - -8. Suppose 20*k = 15*k + 15. Factor -9*m - x*m - 7*m - 7 - 20 - k*m**2.
-3*(m + 3)**2
Let l(k) be the second derivative of -3*k**8/448 - k**7/70 - k**6/120 + 9*k**2 - 2*k. Let r(s) be the first derivative of l(s). Factor r(y).
-y**3*(3*y + 2)**2/4
Suppose 0 = -0*i + 2*i 