. Factor b(z).
2*(z - 2)**2*(z + 1)*(7*z + 3)
Let g(b) be the second derivative of -b**6/1620 - b**5/90 - b**4/12 - 5*b**3/3 + 4*b**2 - 71*b. Let u(i) be the second derivative of g(i). Factor u(q).
-2*(q + 3)**2/9
Let z = 930973/2 + -465483. Factor -3 + z*i - 1/2*i**2.
-(i - 6)*(i - 1)/2
Let y(a) be the second derivative of -1/66*a**4 + 1/110*a**5 - 2/33*a**3 + 0*a**2 + 56*a + 0. Factor y(i).
2*i*(i - 2)*(i + 1)/11
Let z(g) = 694*g + 312300. Let j be z(-450). Let m = 5 + -24/5. Find r such that -4/5*r**4 - 6/5*r**3 - 1/5*r**5 - m*r + j - 4/5*r**2 = 0.
-1, 0
Let r(w) = 8*w**2 - 281*w + 310. Let i be r(34). Let u(h) be the second derivative of -3*h - 1/3*h**i + 8/3*h**3 - 8*h**2 + 0. Find d, given that u(d) = 0.
2
Let w be (-2*1)/(4/(-72)). Suppose 0 = 5*s - 2*u - 14, 3*u = -0*s + 4*s - 14. Factor 2*p**4 + s*p**2 - w + 36 - 4*p**3.
2*p**2*(p - 1)**2
Let g(q) be the first derivative of -q**5/5 + q**4 - 4*q**3/3 - 77*q - 26. Let m(j) be the first derivative of g(j). Factor m(d).
-4*d*(d - 2)*(d - 1)
Let d = -51/673 - -8433/4711. Factor 24/7*y**3 + d*y**2 - 6/7 + 10/7*y**4 - 8/7*y.
2*(y + 1)**3*(5*y - 3)/7
Let b(q) be the first derivative of -q**4/12 + 13*q**3/3 - 88*q**2/3 + 68*q - 1363. Suppose b(z) = 0. What is z?
2, 3, 34
Let n(r) be the first derivative of 512*r**5/35 - 144*r**4/7 + 22*r**3/7 - r**2/7 + 4128. Determine y, given that n(y) = 0.
0, 1/16, 1
Let i(l) = 7*l**4 + 8*l**3 - 44*l**2 - 45*l + 141. Let n(d) = d**4 + d - 1. Let f(h) = -i(h) + 3*n(h). Let f(q) = 0. What is q?
-3, 2
Let k(x) be the third derivative of -3/7*x**7 + 0*x**3 + 25/112*x**8 + 0*x**4 + 0*x + 0 - 80*x**2 - 2/5*x**5 - 9/10*x**6. Factor k(y).
3*y**2*(y - 2)*(5*y + 2)**2
Let o(u) be the third derivative of -u**6/1800 - 13*u**5/600 - u**4/10 + 32*u**3/3 + 31*u**2. Let q(x) be the first derivative of o(x). Factor q(d).
-(d + 1)*(d + 12)/5
Suppose -12 - 422*h**3 - 15*h + 3*h**4 + 28*h**2 - 19*h**2 + 437*h**3 = 0. What is h?
-4, -1, 1
Factor 504*z - 92*z - 775*z**2 + 368*z - 89*z**3 + 84*z**3.
-5*z*(z - 1)*(z + 156)
Let l(o) be the first derivative of -o**3 + 45*o**2/2 - 108*o + 332. Factor l(b).
-3*(b - 12)*(b - 3)
Let s = 36213 + -17270. Factor 10935*j - 280*j**2 - 79472 - s + 5*j**3 - 125*j**2.
5*(j - 27)**3
Let f(n) be the second derivative of n**6/15 + n**5/2 - 6*n**4 - 2*n - 72. Factor f(d).
2*d**2*(d - 4)*(d + 9)
Let x(u) be the second derivative of u**6/24 + u**5/5 - u**4/2 - 4*u**3 - 43*u. Let n(j) be the second derivative of x(j). Let n(z) = 0. What is z?
-2, 2/5
Let n = -704552 - -704555. Find b, given that 2/3*b**4 + 0 - 28/3*b**2 - 16*b + 2/3*b**n = 0.
-3, -2, 0, 4
Let z be 551 + (0/1 - (3 - -2)). Let t = z + -11464/21. Factor -t*w + 2/21*w**2 + 0.
2*w*(w - 1)/21
Let c be ((-291824)/80520 + (-4)/(-30))*(-520)/3. Factor 920/11*g**3 + 3856/11*g**2 + 2/11*g**5 + c*g + 76/11*g**4 + 4096/11.
2*(g + 2)**3*(g + 16)**2/11
Let b(x) be the third derivative of -29*x**5/90 + x**4/6 + 820*x**2. Find o such that b(o) = 0.
0, 6/29
Let u(n) be the third derivative of 5*n**8/336 + 17*n**7/21 + 313*n**6/24 + 73*n**5/3 - 1040*n**4/3 + 2560*n**3/3 + 6119*n**2. Let u(h) = 0. Calculate h.
-16, -4, 1
Suppose -2*m + 108 = m. Suppose 5*y - y = m. Factor -21*j**4 - 9*j**5 + 0*j + 12*j + 6*j**3 - 15*j**3 - 6*j + y*j**2.
-3*j*(j + 1)**3*(3*j - 2)
Suppose -1/2*i**2 - 136 - 33/2*i = 0. What is i?
-17, -16
Let -47/5*i**4 + 0 + 1/5*i**5 - 49/5*i**3 + 47/5*i**2 + 48/5*i = 0. What is i?
-1, 0, 1, 48
Let y = -98415 - -98417. Factor 0*v**y + 0*v + 3/4*v**4 + 0 - 1/2*v**3 - 1/4*v**5.
-v**3*(v - 2)*(v - 1)/4
Let c be ((-471)/2669)/(2/(-34)). Find r, given that -39/2*r**c + 0 - 12*r**2 + 3*r**4 + 21/2*r = 0.
-1, 0, 1/2, 7
Let b(q) be the second derivative of q**8/336 + 11*q**7/168 + q**6/4 + q**3/6 + 93*q**2/2 + 107*q. Let x(t) be the second derivative of b(t). Factor x(i).
5*i**2*(i + 2)*(i + 9)
Let i be ((-16)/6 + 2)/(12/(-45)). Let a(g) be the second derivative of 0 - i*g**2 - 1/3*g**3 - 1/60*g**4 + 14*g. Factor a(f).
-(f + 5)**2/5
Let y(p) be the third derivative of p**7/1260 + 31*p**6/720 + 103*p**5/120 + 869*p**4/144 - 605*p**3/18 - 2288*p**2. Solve y(n) = 0.
-11, -10, 1
Let n(c) be the first derivative of 2*c**3/9 - 130*c**2/3 - 262*c/3 + 8491. Determine i, given that n(i) = 0.
-1, 131
Let s(i) be the first derivative of -5*i**4/4 + 14930*i**3/3 - 11145245*i**2/2 + 8826. Solve s(n) = 0 for n.
0, 1493
Let z(r) be the second derivative of -r**7/189 - 2*r**6/45 + 16*r**4/27 + 469*r. Factor z(d).
-2*d**2*(d - 2)*(d + 4)**2/9
Let o(b) be the third derivative of -b**6/80 - 79*b**5/40 - 19*b**4 - 75*b**3 - 676*b**2. Suppose o(y) = 0. What is y?
-75, -2
Let g(j) be the first derivative of -j**5 - 655*j**4 - 171610*j**3 - 22480910*j**2 - 1472499605*j + 74. Solve g(v) = 0 for v.
-131
Suppose 5*l**5 + 727710*l**3 - 5568*l**4 + 15*l**5 + 146*l**4 + 515*l**4 - 2728*l**4 + 182405*l**2 = 0. Calculate l.
-1/4, 0, 191
What is c in 3/5*c**2 + 2904/5 + 738/5*c = 0?
-242, -4
Let j(b) be the third derivative of -7/150*b**5 - 112*b**2 + 1/15*b**4 + 28/15*b**3 + 0 + 0*b - 1/300*b**6. Factor j(i).
-2*(i - 2)*(i + 2)*(i + 7)/5
Factor 2/9*u**2 - 784/9 - 188/9*u.
2*(u - 98)*(u + 4)/9
Let y(g) be the second derivative of g**4/4 - 37*g**3/2 + 279*g**2 + 1935*g. Factor y(b).
3*(b - 31)*(b - 6)
Let t be (-57 - (-2 + -51))/(-2 + (3 - 6) - -3). Determine h so that 0*h + 0 + 2/13*h**3 - 62/13*h**t = 0.
0, 31
Let f(v) be the first derivative of 0*v**3 + 40*v**2 - 5/4*v**4 + 23 + 0*v. Factor f(l).
-5*l*(l - 4)*(l + 4)
Let a be -1*(-13)/((-65)/(-15)) + -2 + -1. Let h(g) be the third derivative of 2/75*g**5 - 1/20*g**4 + 5*g**2 + 0 + a*g**3 - 1/300*g**6 + 0*g. Factor h(i).
-2*i*(i - 3)*(i - 1)/5
Suppose 6*x - 740 = -5*y - 2183, -1160 = 4*y + 2*x. Let p = y + 583/2. Suppose 5/2 + p*z - 1/2*z**3 - 5/2*z**2 = 0. Calculate z.
-5, -1, 1
Let y(l) be the first derivative of 30 - 17/11*l**2 + 289/11*l + 1/33*l**3. Solve y(x) = 0.
17
Suppose -2*y = 37 - 9. Let b = 51 + y. Let -5*v**3 - 26 + b*v**2 - 22*v**2 + 6 = 0. What is v?
-1, 2
Let d = 16026 - 16026. Let a(q) be the second derivative of 5/6*q**4 + 25*q + 0*q**2 + 5/6*q**3 + 1/4*q**5 + d. Let a(v) = 0. Calculate v.
-1, 0
Suppose -5*t + 9 = -2*t. Find n such that -419*n**3 + 14284 + 270*n**2 + 4860*n + 14876 + 424*n**t = 0.
-18
Factor -4*u**3 + 2207 - 103*u**2 - 49*u**2 - 379*u - 6831 - 1321*u.
-4*(u + 4)*(u + 17)**2
Let q(j) be the first derivative of j**3/9 + 34*j**2/3 + 105*j - 1733. Factor q(b).
(b + 5)*(b + 63)/3
Let n = 2056 + -1493. Let u = n - 560. Determine z, given that -3/5*z**u + 0 - 3/5*z**2 + 6/5*z = 0.
-2, 0, 1
Suppose -4*t + 2*n + 82 = 0, 2*t = -t - n + 69. Factor t*f - 28*f**2 + 26*f**2 + 4*f - 24.
-2*(f - 12)*(f - 1)
Let 446/3*n**2 + 2/3*n**5 + 14*n**4 + 124*n + 112/3 + 226/3*n**3 = 0. What is n?
-14, -4, -1
Suppose 3*y + 12 = 0, -2*n = -2*y - 10 - 28. Let r = n - -13. Suppose 2653 - r*z**4 + 12*z**3 + 8*z**5 - 2653 = 0. What is z?
0, 1/2, 3
Let g(l) = -95*l - 3037. Let n be g(-32). Let j(c) be the second derivative of 2/3*c**4 + 0 + 0*c**5 + 0*c**n + 0*c**2 + c - 1/15*c**6. Solve j(x) = 0 for x.
-2, 0, 2
Let v(x) be the first derivative of 3*x**4/16 - 31*x**3 + 1095*x**2/8 - 363*x/2 + 7122. Solve v(t) = 0 for t.
1, 2, 121
Factor -510/7*w + 4/7*w**2 + 108.
2*(w - 126)*(2*w - 3)/7
Let p(b) = 3*b**2 - 18*b + 144. Let v(x) = -3*x**2 + 16*x - 144. Let m(n) = -4*p(n) - 3*v(n). Let q(y) = -y**2. Let k(z) = 3*m(z) - 6*q(z). Factor k(t).
-3*(t - 12)**2
Let t(c) = -2*c**3 - 8*c**2 + 10*c + 5. Let u be t(-5). Let z(k) = -2*k**2 - 13*k + 15. Let y(d) = -5*d**2 - 25*d + 30. Let b(i) = u*z(i) - 3*y(i). Factor b(h).
5*(h - 1)*(h + 3)
Let o(l) be the first derivative of -1/5*l**3 + 9/5*l**2 + 0*l - 114 - 9/10*l**4 + 3/25*l**5. Factor o(b).
3*b*(b - 6)*(b - 1)*(b + 1)/5
Let t(i) be the third derivative of -1/1470*i**7 + 7*i + 4*i**2 - 13/70*i**5 - 25/42*i**3 + 19/42*i**4 + 0 + 1/30*i**6. Factor t(q).
-(q - 25)*(q - 1)**3/7
Let d(k) be the third derivative of k**6/600 + 38*k**5/75 + 443*k**4/120 - 298*k**3/15 + 4716*k**2. Determine n so that d(n) = 0.
-149, -4, 1
Suppose -24*q - 4/3*q**2 + 700/3 = 0. Calculate q.
-25, 7
Let b be 1 + 4 + (-6)/(-3). Suppose -27 - 1 = -2*s + 4*t, 0 = s - 3*t - 19. Determine h, given that 8*h**3 - 15 + 12*h**2 - 9*h - s*h**4 - b*h - 1 = 0.
-1, 2
Fact