1*j - 1111*j + 16*j**3 + 0*j**2 - 10*j**4.
2*j**2*(j - 2)**2*(j - 1)
Let h(g) = -2*g**4 - g**3 - g**2 + g - 1. Let v(n) = -173*n**4 + 1116*n**3 - 2631*n**2 + 2582*n - 902. Let q(b) = -4*h(b) + 2*v(b). Factor q(t).
-2*(t - 1)**2*(13*t - 30)**2
Let s = -22 + 22. Let p(l) be the first derivative of 1/9*l**6 - 4/9*l**3 - 1/3*l**2 + 0*l**4 - 1 + s*l + 4/15*l**5. Factor p(z).
2*z*(z - 1)*(z + 1)**3/3
Let z(u) = -4*u + 8. Let f be z(2). Suppose f = -10*w + 17*w - 14. Determine g so that 0 + 4/9*g - 2/9*g**w = 0.
0, 2
Let i be -3*((-6)/9)/1. Factor -18*v + 8*v + 1 + 9*v - i*v**2.
-(v + 1)*(2*v - 1)
Let b = -2 + 2. Let v be (3036/(-252) - -12)/((-5)/30). Factor b - v*g**4 - 6/7*g**3 - 4/7*g**2 + 0*g.
-2*g**2*(g + 1)*(g + 2)/7
Let l(z) be the third derivative of -z**6/360 - z**5/10 - z**2 + 266. Factor l(c).
-c**2*(c + 18)/3
Let r(p) be the second derivative of p**4/3 + 3*p**3 + 7*p**2 - 12*p + 5. Factor r(n).
2*(n + 1)*(2*n + 7)
Factor 13/2*w - 1/2*w**3 - 7/2 - 5/2*w**2.
-(w - 1)**2*(w + 7)/2
Suppose -2*b + 3 = 43. Let m = 47 + b. Factor 30*h - m*h**2 + 21/2*h**3 - 12 - 3/2*h**4.
-3*(h - 2)**3*(h - 1)/2
Let b(d) be the first derivative of 0*d + 0*d**2 - 2/27*d**3 + 0*d**4 + 1 + 2/45*d**5. Factor b(m).
2*m**2*(m - 1)*(m + 1)/9
Let x = 23/77 - 1/77. Let 4/7 - 6/7*j**2 - 2/7*j + 2/7*j**4 + x*j**3 = 0. What is j?
-2, -1, 1
Factor 2*c + 20/13 - 2/13*c**3 + 4/13*c**2.
-2*(c - 5)*(c + 1)*(c + 2)/13
Let n(v) = 14*v + 12. Let q(s) = -s**2. Let f(d) = -n(d) + 2*q(d). Factor f(k).
-2*(k + 1)*(k + 6)
Let x be (-2770)/(-975) - 4/10. Let y = -30/13 + x. Factor 4/15*a**3 + 2/5*a**4 + y*a**5 - 4/15*a**2 - 2/15 - 2/5*a.
2*(a - 1)*(a + 1)**4/15
Let d(b) be the second derivative of b**10/10080 - b**8/2240 - b**4/6 + 8*b. Let o(i) be the third derivative of d(i). Factor o(w).
3*w**3*(w - 1)*(w + 1)
Let w(r) be the first derivative of r**4/3 + 4*r**3/9 + r**2/6 + 44. Determine p, given that w(p) = 0.
-1/2, 0
Factor 2*n**2 + 0 - 8/3*n + 2/3*n**3.
2*n*(n - 1)*(n + 4)/3
Let s(q) be the second derivative of q**6/240 - q**4/16 + q**3/6 + 3*q**2 - 17*q. Let g(a) be the first derivative of s(a). Let g(w) = 0. What is w?
-2, 1
Suppose -2 = -4*a + 14. Let f(t) = -t**3 - 10*t**2 - 12*t - 25. Let w be f(-9). Factor -a*u - 3*u**2 + w*u + u - 5*u.
-3*u*(u + 2)
Factor 3/5*v**5 + 0 + 12/5*v**4 + 6/5*v**2 + 3*v**3 + 0*v.
3*v**2*(v + 1)**2*(v + 2)/5
Let o be 3 + (-5)/(7 - 2). Factor -3*a**4 + 7*a**4 - 255*a**o + 275*a**2 + a**4 - 20*a**3.
5*a**2*(a - 2)**2
Let u = 99 - 95. Suppose -u*m**5 - 4 - 6*m + 8*m**3 + 0*m**5 + 4*m**2 + 2*m**5 = 0. What is m?
-1, 1, 2
Factor 2/5*u**3 + 58*u + 144/5 + 148/5*u**2.
2*(u + 1)**2*(u + 72)/5
Let j(a) be the first derivative of a**2/2 + 6*a + 2. Let v be j(-3). Factor -3*u**3 + v*u + 2*u + 0*u - 6*u + 1 - 5*u**2.
-(u + 1)**2*(3*u - 1)
Let y(r) = -12*r**2 + r + 6. Let j(l) = -10*l**2 + 8. Let p(t) = -5*j(t) + 4*y(t). Factor p(h).
2*(h - 2)*(h + 4)
Let t(n) be the third derivative of n**6/240 - n**5/15 - 25*n**4/16 - 21*n**3/2 + 606*n**2. Solve t(s) = 0.
-3, 14
Let a(r) = -4*r**2 - 5*r. Let p be a(-4). Let m be 8 - ((-3)/4)/(11/p). Factor -g**3 + 0*g + 0 - 27/2*g**m + 15/2*g**4 + 0*g**2.
-g**3*(3*g - 1)*(9*g - 2)/2
Let i(f) = -18*f**2 + 249*f - 261. Let k(w) = -11*w**2 + 124*w - 131. Let v(h) = -6*i(h) + 10*k(h). Factor v(d).
-2*(d - 1)*(d + 128)
Suppose 2*m - 1 = -3*c, 5 - 17 = -3*m - c. Suppose -3*q - 6 = n - 5*q, m*n = 4*q. Let -32 - 4*l + 16*l**2 - 2*l**n + 4*l = 0. Calculate l.
-2, 2
Let z = -3 - -6. Suppose -z*y = -y - 24. Factor -12*w**3 + 1 + y*w**2 + 21*w**3 - 3*w - 7.
3*(w + 1)**2*(3*w - 2)
Let u be (-4)/(-6)*6/4. Let i = u + 1. Solve 4*f - 2*f - 10*f**3 - f**i + 9*f**3 = 0.
-2, 0, 1
Let r = 8038 + -8035. Determine o so that 0 + 2/9*o**r - 2/9*o + 0*o**2 = 0.
-1, 0, 1
Let z(y) = -2*y**2 - 7*y - 8. Let v be z(-2). Let o be 64/10 + v - 16/40. What is t in -2/5*t**o - 2/5*t**5 + 4/5*t**2 - 2/5*t + 4/5*t**3 - 2/5 = 0?
-1, 1
Let d(r) be the third derivative of 0 - 1/630*r**7 + 1/60*r**6 + 1/12*r**4 + 0*r**3 - 11/180*r**5 + 0*r + 2*r**2. Suppose d(c) = 0. What is c?
0, 1, 2, 3
Let x(s) = 7*s**2 + 11*s + 9. Let w(l) = 9*l**2 + 12*l + 9. Let d(o) = 5*w(o) - 6*x(o). Let d(f) = 0. What is f?
-1, 3
Let t(j) = -4*j**2 - 5*j + 2. Let p be t(-4). Let h = p - -45. Determine u so that 8/3*u**h + 4*u**2 + 2/3 + 2/3*u**4 + 8/3*u = 0.
-1
Let w(a) be the first derivative of 5*a**6/6 - a**5/2 - 65*a**4/12 - 5*a**3 + 29*a + 3. Let z(u) be the first derivative of w(u). Suppose z(x) = 0. Calculate x.
-1, -3/5, 0, 2
Let k(j) = 2*j**2 - 17*j - 6. Let q be k(8). Let t be 0*(3 - q/(-4)). Let 0 + 0*p - 1/2*p**3 + t*p**2 = 0. Calculate p.
0
Let x = -15 - -22. Factor 75 + x*z**2 - 30*z + 6*z**2 - 10*z**2.
3*(z - 5)**2
Suppose 4*k = a - 22, -4*a = -3*a - 3*k - 19. Suppose 13*p**2 + a*p**2 - 3*p - 26*p**2 = 0. What is p?
-1, 0
Let p be (0 - (0 - 0)) + 13. Let d be (-3)/(3/(-2) - 0). Factor -9*z**d + 4*z**2 - 7*z**2 - p*z**2 - 20*z.
-5*z*(5*z + 4)
Let c be 2 + (-45)/(-12) + 6/(-8). Factor 0*s - c*s**2 + 5*s + 1 + 9.
-5*(s - 2)*(s + 1)
Let y = 84086/31539 + 6/10513. Let -1/3*k**3 - 2*k**2 - 4*k - y = 0. Calculate k.
-2
Let t(m) = m**2 - 101*m + 279. Let r(j) = -j**2 + 201*j - 559. Let i(s) = 3*r(s) + 7*t(s). Find d, given that i(d) = 0.
3, 23
Let b = 14/15 + -4/15. Let d(y) be the first derivative of 7 - y**2 + 0*y - b*y**3. Solve d(w) = 0 for w.
-1, 0
Let l = 27 + -34. Let d be 22/10 + l/35. Suppose 0*j**2 - 32 + 0*j**2 - 5*j**2 - 13*j**d + 48*j + 2*j**3 = 0. Calculate j.
1, 4
Let x(g) be the third derivative of g**5/630 - g**4/14 - 63*g**2. Factor x(d).
2*d*(d - 18)/21
Suppose 191*z + 49 = 813. Solve -4/9*a + 0 + 10/9*a**2 - 2/3*a**z + 8/9*a**3 = 0.
-1, 0, 1/3, 2
Let l(c) be the third derivative of c**5/30 + 2*c**2 - 5*c. Solve l(d) = 0.
0
Let c be (0 - 0)*(-18)/(-36). Let g(x) be the third derivative of -1/24*x**4 - 2*x**2 - 1/60*x**5 + 0*x**3 + 0*x + c. Factor g(l).
-l*(l + 1)
Let k = -60 + 56. Let n be 6/k*4/(-3). Factor -1/2 + n*b - b**2 - 2*b**3 + 3/2*b**4.
(b - 1)**2*(b + 1)*(3*b - 1)/2
Let p(t) = t**2 - 5*t. Let w be p(6). Factor 2108 + w*x**4 - 3*x**3 - 3*x**4 - 2108.
3*x**3*(x - 1)
Let a(w) be the first derivative of -w**5/20 - w**4/4 + 2*w**2 - 12*w + 21. Let x(u) be the first derivative of a(u). Let x(c) = 0. Calculate c.
-2, 1
Factor 4221/5*b + 1/5*b**3 + 7938/5 + 128/5*b**2.
(b + 2)*(b + 63)**2/5
Let h(f) be the second derivative of f**4 + 5/3*f**2 + 0 - 7/3*f**3 - 36*f. Suppose h(l) = 0. What is l?
1/3, 5/6
Let r be 2/(-33) - 166/(-2739). Let h(b) be the third derivative of -1/108*b**4 + r*b + 0*b**3 + 0 + 1/90*b**5 - b**2. Solve h(w) = 0 for w.
0, 1/3
Find o such that -191*o**3 + 12*o**2 - 3*o - 8*o**4 + 203*o**3 - 5*o = 0.
-1, 0, 1/2, 2
Let r = -57 + 8. Let a be 6/21 + (-42)/r. Suppose -4/7 + 2/7*p - 4/7*p**4 - 4/7*p**3 + a*p**2 + 2/7*p**5 = 0. Calculate p.
-1, 1, 2
Let b(d) be the third derivative of -d**7/1575 - d**6/90 - 17*d**5/450 - 2*d**4/45 - 77*d**2. Factor b(f).
-2*f*(f + 1)**2*(f + 8)/15
Let o(k) be the first derivative of k**4/32 + k**3/12 - k**2/4 - k - 30. Factor o(a).
(a - 2)*(a + 2)**2/8
Let v(b) be the third derivative of -b**5/270 + b**4/9 - 11*b**3/27 + 602*b**2. Find j, given that v(j) = 0.
1, 11
Let r(z) = -z - 1. Suppose 18 = -7*d - 10. Let o(s) = -s**4 - 5*s**3 - 7*s**2 + s + 4. Let h(j) = d*r(j) - o(j). Let h(p) = 0. Calculate p.
-3, -1, 0
Suppose -12/5*g**2 + 12/5*g + 0 - 3/5*g**3 + 3/5*g**4 = 0. Calculate g.
-2, 0, 1, 2
Let g(r) be the first derivative of -3*r**5/10 - 18*r**4 - 432*r**3 - 5184*r**2 - 31104*r - 85. Find j such that g(j) = 0.
-12
Factor 105*a**2 - 366*a + 658 + a**3 + 366 - 40*a**2 + 1454*a.
(a + 1)*(a + 32)**2
Suppose z + 5*f = 10 - 3, 4*f = -z + 8. Suppose 6*s**4 + 8 - 4*s**5 - 16*s**2 + z*s + 10*s**4 - 8 - 8*s**3 = 0. What is s?
-1, 0, 1, 3
Let j = 197527/70 + -19752/7. Factor -4/5*b + 7/10 + j*b**2.
(b - 7)*(b - 1)/10
Let k = -150 - -128. Let j be -7 + 1049/143 - (-4)/k. Solve 4/13*z**3 + 0 + 0*z**2 + 0*z**4 - 2/13*z**5 - j*z = 0 for z.
-1, 0, 1
Let v(m) be the third derivative of 1/24*m**4 - 1/40*m**5 + 6*m**2 - 1/840*m**7 + 0*m - 1/24*m**3 + 0 + 1/120*m**6. Factor v(b).
-(b - 1)**4/4
Let k(z) = 24 - 3*z - 16*z**2 - 6*z + z**2. Let v(f) = 3*f**2 + 2*f - 5. Let o(b) = 5*k(b) + 24*v(b). Determine x so that o(x) = 0.
0