 is b?
-1, 0
Let x(c) = 74491*c - 372453. Let v be x(5). Factor -4/3*a**4 + 0*a - 16/3*a**3 + 0 - 16/3*a**v.
-4*a**2*(a + 2)**2/3
Let z(o) be the second derivative of o**7/28 + 31*o**6/10 + 87*o**5/20 - 23*o**4 - 59*o**3/4 + 183*o**2/2 - 29*o - 42. Suppose z(y) = 0. What is y?
-61, -2, -1, 1
Let a(z) = 7*z**4 + 335*z**3 + 13456*z**2 - 13778*z - 5. Let q(k) = 17*k**4 + 837*k**3 + 33639*k**2 - 34445*k - 12. Let v(y) = 12*a(y) - 5*q(y). Factor v(c).
-c*(c - 1)*(c + 83)**2
Let m be ((-60)/(-81))/(9185/529056). Let m + 4/3*i**2 + 16*i = 0. What is i?
-8, -4
Let b be (-4)/(-3) + (-6302)/(-9453). Factor 1/10*h**b - 3/5*h - 7/10.
(h - 7)*(h + 1)/10
Let f(r) = -2875*r - 163870. Let g be f(-57). Factor 3/2*q**2 + 0 + 0*q - 1/2*q**g + 1/2*q**4 + 5/2*q**3.
-q**2*(q - 3)*(q + 1)**2/2
Let t(u) be the first derivative of u**4/2 + 28*u**3 + 81*u**2 + 80*u + 441. Find p, given that t(p) = 0.
-40, -1
Let v(h) = 2*h + 4. Let j = 49 - 56. Let n(w) = -w**2 - 7*w - 13. Let c(k) = j*v(k) - 2*n(k). Let c(p) = 0. What is p?
-1, 1
Let x = 14664 + -14659. Let s(k) be the first derivative of 0*k**3 - 1/54*k**6 - 2/45*k**x + 0*k**2 - 1/36*k**4 + 30 + 0*k. Factor s(v).
-v**3*(v + 1)**2/9
Let s(m) be the first derivative of m**4/12 + 26*m**3/9 - m**2/6 - 26*m/3 - 71. Factor s(v).
(v - 1)*(v + 1)*(v + 26)/3
Let m be ((-277)/2 + 1)/(5/30). Let k = m - -828. Factor 16/3*j**k - 12*j**2 + 8*j - 4/3.
4*(j - 1)**2*(4*j - 1)/3
Let r(n) be the first derivative of 4*n**4/9 - 6*n**3 - 14*n**2/3 - 76*n - 19. Let q(c) be the first derivative of r(c). Let q(p) = 0. Calculate p.
-1/4, 7
Let o = 35900 - 35855. Factor 6*h - o - 1/5*h**2.
-(h - 15)**2/5
Let t be (3/2*(-1)/(-3))/(1155/16632). Find v, given that -t*v**2 + 0 + 3/5*v**3 + 108/5*v = 0.
0, 6
Let r = -83 - -131. Suppose 7*k + 9*k = r. What is q in -q**4 - 9*q**2 - 2 + 37*q + 5*q**k - 16*q - 14*q = 0?
1, 2
Suppose 10 - 34 = -8*t. Suppose -6 = -w - t. Factor -9 - o**2 + w*o + 9*o + 10 - 12*o**2.
-(o - 1)*(13*o + 1)
Find z, given that -47/12 + 71/6*z - 12*z**2 + 25/6*z**3 - 1/12*z**4 = 0.
1, 47
Let v(f) = 2*f**4 + 651*f**3 - 620*f**2 - 11*f - 11. Let k(n) = n**4 + 163*n**3 - 155*n**2 - 3*n - 3. Let i(t) = -11*k(t) + 3*v(t). Factor i(u).
-5*u**2*(u - 31)*(u - 1)
Let t(m) be the first derivative of -15*m**4/16 + m**3/8 - 9*m + 55. Let b(a) be the first derivative of t(a). Solve b(p) = 0 for p.
0, 1/15
Factor -2*m**2 + 29*m**3 - 36*m + 16 + 29*m**3 - 14*m**4 + 5*m - m**5 - 26*m**3.
-(m - 1)**3*(m + 1)*(m + 16)
Let q = 17033 + -34063/2. Factor -q*r + 3/2*r**3 - 33/2 + 33/2*r**2.
3*(r - 1)*(r + 1)*(r + 11)/2
Let i(y) be the third derivative of y**8/420 + 22*y**7/525 + 23*y**6/150 - 11*y**5/75 - 4*y**4/5 + 907*y**2. What is g in i(g) = 0?
-8, -3, -1, 0, 1
Suppose -5*w + 4*j = -54, 77*w - 76*w + 53 = -5*j. Solve -1/2*z**w - 1/4*z**4 - 3/4*z**3 + 0*z + 0 = 0.
-2, -1, 0
Let p(t) be the third derivative of t**6/300 + 31*t**5/225 - 7*t**4/60 + 53*t**2 - 27*t. Factor p(j).
2*j*(j + 21)*(3*j - 1)/15
Let d = 13427 + -13425. Let h(t) be the first derivative of 46/21*t**3 - 3/7*t**4 - 30/7*t**d + 25/7*t + 1/35*t**5 + 3. Let h(o) = 0. What is o?
1, 5
Let q = -6/367 - -1125/1468. Let i(v) be the first derivative of -v**3 + 3/2*v**2 + 13 - q*v**4 + 3*v. Factor i(h).
-3*(h - 1)*(h + 1)**2
Let m(w) be the second derivative of -w**7/2 + 22*w**6/5 - 57*w**5/20 - 83*w**4/2 - 32*w**3 + 48*w**2 - 490*w. Solve m(y) = 0.
-1, 2/7, 4
Factor 390/7 + 108/7*m + 6/7*m**2.
6*(m + 5)*(m + 13)/7
Let j(b) = -2*b**3 - 5*b**2 + b. Let c(o) = 31*o**3 + 589*o**2 - 370*o + 60. Let q(m) = c(m) + 11*j(m). Factor q(d).
(d + 60)*(3*d - 1)**2
Let s(m) be the third derivative of -1/840*m**6 + 145*m**2 + 0 - 5/168*m**4 - 1/21*m**3 - 1/105*m**5 + 0*m. Factor s(x).
-(x + 1)**2*(x + 2)/7
Let o be (-2)/(-10) - 7/210*6. Suppose -k = -z - 1, z + 3*z - 2*k - 2 = o. Suppose -72/11 + 24/11*s - 2/11*s**z = 0. Calculate s.
6
Let g(h) be the second derivative of -5/2*h**2 + 3 - 5/2*h**3 + 5/2*h**5 + h + 15/14*h**7 - 7/2*h**6 + 5/2*h**4. Determine x so that g(x) = 0.
-1/3, 1
Factor -249 + 25*f**3 - 35*f**2 + 296*f + 62 - 5 - 21*f**3 - 73*f**2.
4*(f - 24)*(f - 2)*(f - 1)
Suppose -33*w = -288*w + 19*w + 236. Factor -a - w - 1/4*a**2.
-(a + 2)**2/4
Let u be 4/(160/(-32376)) + 12/30. Let t = 812 + u. Factor -14/3*j**2 + 10*j + 2/3*j**t - 6.
2*(j - 3)**2*(j - 1)/3
Let c(l) be the third derivative of l**6/840 + 5*l**5/84 - 31*l**4/14 + 144*l**3/7 + 10712*l**2. Solve c(i) = 0.
-36, 3, 8
Let k(j) be the third derivative of j**5/15 + 11*j**4/6 - 68*j**3 - 9910*j**2. Factor k(h).
4*(h - 6)*(h + 17)
Let z(g) be the first derivative of 3*g**4/4 - 11*g**3 - 60*g**2 - 84*g + 9780. Factor z(x).
3*(x - 14)*(x + 1)*(x + 2)
Suppose q - 3 = 3*f - 2*f, 3*f = 0. Suppose q*n = -u + 26, 2*u + 2*n = -2*n + 54. Let 14*y - u*y + 16*y - y**2 = 0. What is y?
0, 1
Let s = 100 + -90. Determine u, given that -s*u**2 + u - 11*u**3 - 2 + 22*u + 0*u = 0.
-2, 1/11, 1
Let j(c) be the first derivative of c**3/12 + 233*c**2/4 + 54289*c/4 + 582. Factor j(b).
(b + 233)**2/4
Suppose -2760978*t**3 + 63887953*t + 15955698 + 75562254 - 11151*t**4 - 197785875*t**2 - 15*t**5 - 88412969*t**2 + 74496047*t + 59069036*t**2 = 0. Calculate t.
-248, -2/5, 1
Let s = 273 - 271. Suppose -27*l**3 - 8*l**s - 2*l**5 + 0*l**5 - 12*l**4 - 55*l**3 + 64*l**3 = 0. What is l?
-4, -1, 0
Let j = 7476 - 7473. Factor 3/5*y**5 - 21/5*y**2 - 3*y**4 + 6/5*y + 27/5*y**j + 0.
3*y*(y - 2)*(y - 1)**3/5
Let t = 1382 - 1382. Suppose t = 3*i, -2*i + 6*i = -q + 2*q. Factor 2*g + 0*g**2 - 1/2*g**3 + q.
-g*(g - 2)*(g + 2)/2
Factor 4041*w - 115 + 964 + 332 - 64 + w**5 + 558*w**3 + 2776*w**2 + 665 + 42*w**4.
(w + 1)**2*(w + 9)**2*(w + 22)
Let g = 4/72875 + 72863/218625. Determine s, given that -2/3*s**3 - 4/3*s - g*s**4 + 7/3*s**2 + 0 = 0.
-4, 0, 1
Let n(d) be the second derivative of 0 + 57*d + 7/2*d**4 - 8/5*d**6 + 1/5*d**5 - 2*d**2 + d**3. Solve n(o) = 0 for o.
-2/3, -1/2, 1/4, 1
Let r(b) = -3*b**2 + 123*b + 83919. Let k be r(189). Factor 4*f + 1/6*f**4 + 25/6 - 13/3*f**2 - 4*f**k.
(f - 25)*(f - 1)*(f + 1)**2/6
Factor -2*i**4 - 154*i**2 + 4*i + 10*i**3 + 4*i + 138*i**2.
-2*i*(i - 2)**2*(i - 1)
Let i(u) = 13*u**2 + 2950*u + 50. Let b(c) = -4*c**2 - 983*c - 15. Let p(s) = -10*b(s) - 3*i(s). Factor p(h).
h*(h + 980)
Let p(x) be the first derivative of 23*x**4/28 - 76*x**3/7 - 131*x**2/2 - 78*x/7 + 7038. Factor p(f).
(f - 13)*(f + 3)*(23*f + 2)/7
Suppose -4*m + 3*m + 16 = 0. Solve 16*w + 16*w**2 + 12*w**2 + m - 31*w**2 + 7*w**2 = 0 for w.
-2
Let s(t) = 32*t - 91. Let n be s(3). Let y = -184 + 274. Solve 2*f**2 - 4*f**3 + 47*f + 46*f + f**n - 2 - y*f = 0.
-2, -1, 1
Let h(p) be the third derivative of -1/48*p**5 + 0*p + 14*p**2 + 0*p**3 + 0 - 1/160*p**6 - 1/96*p**4 + 3/280*p**7. Factor h(k).
k*(k - 1)*(3*k + 1)**2/4
Let o be 1002 - -10 - (3 - -3). Let c = o + -1003. Solve -1/4*h**2 + 1/4*h**c - h + 1 = 0.
-2, 1, 2
Find z, given that -3/4*z**4 - 24261/4*z**2 - 531/4*z**3 + 22707 - 66033/4*z = 0.
-87, -4, 1
Let d be ((-51)/68)/(6/(-160)) - 17. Factor 0 + 10*b**d - 5*b + 5/2*b**2 - 15/2*b**4.
-5*b*(b - 1)**2*(3*b + 2)/2
Let k = -660712 + 660714. Factor 30*r**k + 440/3 + 140*r - 5/3*r**3.
-5*(r - 22)*(r + 2)**2/3
Let p(l) = l**4 + 2*l**3 - 5*l - 4. Let x(a) = 31*a**3 - 4 - a**2 + 4 - 32*a**3. Let u(q) = p(q) - 3*x(q). Factor u(m).
(m - 1)*(m + 1)**2*(m + 4)
Let w(r) be the third derivative of r**6/24 - 223*r**5/12 + 2215*r**4/24 - 1105*r**3/6 + 2870*r**2. Factor w(u).
5*(u - 221)*(u - 1)**2
Let b = -3054/905 - -7013/1810. Let 13/2*q - q**2 - 5 - b*q**3 = 0. What is q?
-5, 1, 2
Let m = 157 - 155. Factor 0*t**4 - 9*t**3 + 9*t - 3*t**4 - 9664*t**2 + 6 + 9661*t**m.
-3*(t - 1)*(t + 1)**2*(t + 2)
Let m(y) be the third derivative of 13*y**7/42 - 37*y**6/24 + 5*y**5/3 + 5*y**4/6 + 100*y**2 + y. Let m(x) = 0. What is x?
-2/13, 0, 1, 2
Let q(a) be the second derivative of -a**4/4 + 279*a**3/2 + 843*a**2 - 1355*a. Factor q(z).
-3*(z - 281)*(z + 2)
Let z(q) be the first derivative of 4/7*q**2 - 2/21*q**3 + 212 + 10/7*q. Suppose z(f) = 0. What is f?
-1, 5
Let h be (-10)/((-50)/15) + 0/(-11). Let p(w) be the third derivative of 0 + 13*w**2 + 2/315*w**5 - 1/21*w**h + 0*w - 1/252*w**4. Suppose p(l) = 0. What is l?
-3/4, 1
Suppose -4*t + 5*t = -2*n + 1, n - 4*t - 14 = 0. Find r, given that -28*r**