 of -55/4*c**h - 6*c**2 - c - 121/16*c**4 + 16. Factor l(u).
-(u + 1)*(11*u + 2)**2/4
Let l be 4/(-10) + 1 + (-263)/5. Let d be (0 + -1)/(3 + l/16). Factor -24*t**4 + 52*t**4 - 26*t**d - 6*t**3.
2*t**3*(t - 3)
Let d(u) be the first derivative of 5*u**4 - 4*u**3 - 4. Let z(a) = -7*a**3 + 4*a**2. Let w = -3 - -8. Let i(y) = w*d(y) + 14*z(y). Find o such that i(o) = 0.
0, 2
Factor 842*w + 0 + 6 - 839*w - 40*w**2 + 31*w**2.
-3*(w - 1)*(3*w + 2)
Let x(p) be the second derivative of 25*p + 5/12*p**2 - 1/72*p**4 + 1/9*p**3 + 2. Factor x(a).
-(a - 5)*(a + 1)/6
Suppose -179*w + 267 - 94 = -185. Let z(g) = -g**2 - 5*g - 4. Let j be z(-4). Factor 1/3*k**w + j - 2/3*k.
k*(k - 2)/3
Let k(c) be the third derivative of 1/60*c**6 + 0 + 0*c + 3/4*c**4 + 73*c**2 + 1/5*c**5 + 4/3*c**3. Let k(s) = 0. What is s?
-4, -1
Let h = 3314 + -3314. Let n(a) be the first derivative of h*a**2 + 15 + 0*a - 1/35*a**5 - 4/21*a**3 - 1/7*a**4. Suppose n(z) = 0. Calculate z.
-2, 0
Let k = 1/32 + 13/96. Let a(f) be the second derivative of 22*f + 0 - 1/72*f**4 + k*f**2 - 1/36*f**3. Solve a(b) = 0.
-2, 1
Let c(i) = -5*i**2 + 25*i + 90. Suppose -5*z + 0 + 5 = 0, -5*h + 6 = z. Let x(m) = -m + 1. Let b(j) = h*c(j) - 30*x(j). Let b(p) = 0. What is p?
-1, 12
Let x = 64 - 120. Let v = -42 - x. Let 0*z**4 - 5*z**4 - v*z**3 + 10 - 5*z**2 - z**3 + 15*z = 0. Calculate z.
-2, -1, 1
Let u(a) = 1 - 2*a**3 + 0*a + 4*a - 2*a - a + a**2. Let w(d) = 11*d**3 - 7*d**2 - 5*d - 5. Let m(n) = 5*u(n) + w(n). Factor m(t).
t**2*(t - 2)
Suppose 7*k + 3*k - 1100 = 0. Solve y**3 + 3 - k*y - 30*y**2 + 139*y - 9 + 6 = 0 for y.
0, 1, 29
Let x(j) be the first derivative of -5*j**6/6 + 445*j**5 - 244175*j**4/4 - 745925*j**3/3 - 375200*j**2 - 250880*j + 2813. Determine m so that x(m) = 0.
-1, 224
Factor -73*m**3 + 5*m**4 - 63*m**3 - 2*m**5 + 16*m**4 - 63*m**4.
-2*m**3*(m + 4)*(m + 17)
Let i(v) be the third derivative of 6*v + 0 - 1/120*v**5 + 5/48*v**4 + 2*v**3 - 6*v**2. Factor i(l).
-(l - 8)*(l + 3)/2
Suppose 2*i + 5772 = 2*p, 6*p - 3*i = 8*p - 5757. Factor -28*q**2 - 186*q - p + 2*q**2 + 23*q**2.
-3*(q + 31)**2
Let d(n) = -3*n**3 - 3*n**2 + 2*n**2 + n - n**3 + 3*n**3 + 3. Let q be d(0). Factor 58*l**2 + 26*l**2 + 12*l**q + 1372 + 588*l - 8*l**3.
4*(l + 7)**3
Let h(a) be the third derivative of -a**5/105 - 97*a**4/42 - 1320*a**2 - 2*a - 2. Factor h(n).
-4*n*(n + 97)/7
Let t(i) = -9*i**3 + 1046*i**2 - 684*i - 362. Let h(k) = -46*k**3 + 5228*k**2 - 3420*k - 1804. Let u(x) = -3*h(x) + 14*t(x). Factor u(b).
4*(b - 86)*(b - 1)*(3*b + 1)
Let t = 472 - 485. Let z(u) = 35*u + 458. Let p be z(t). What is m in 0 + 0*m - 4/7*m**2 - 24/7*m**4 + 10/7*m**5 + 18/7*m**p = 0?
0, 2/5, 1
Suppose -31*u - 88 = -15*u - 344. Let q(x) be the second derivative of -1/15*x**6 + 0 - u*x + 0*x**4 + 0*x**2 + 1/10*x**5 + 0*x**3. Factor q(k).
-2*k**3*(k - 1)
Let y(f) be the first derivative of -f**5/45 + 50*f**4/9 - 5000*f**3/9 - 25*f**2 - 93. Let h(p) be the second derivative of y(p). Factor h(z).
-4*(z - 50)**2/3
Let t(m) = -2*m**2 + 6*m. Let l(f) be the second derivative of -f**3 + 3*f - 1/20*f**5 + 1/12*f**4 + 0 + 0*f**2. Let z(q) = -2*l(q) - 3*t(q). Factor z(r).
2*r*(r - 1)*(r + 3)
Let j be (-4)/(80/155)*-12. Let w = j - 78. Factor 2*q**3 - 15*q + w*q.
2*q**3
Let i = 439 - 436. Let h(p) = p**3 + 13*p**2 + 24*p + 24. Let n be h(-11). Factor 0 - 4/3*k + 10*k**i + 26/3*k**n.
2*k*(k + 1)*(15*k - 2)/3
Suppose 2*v - 14 = -5*v. Determine a so that 2*a**4 + 38*a**2 + 43*a**2 - 84*a**v - a**4 - 2*a = 0.
-1, 0, 2
Let g(u) be the third derivative of 0 + 0*u**5 - 2/3*u**4 + 1/30*u**6 - u**2 + 1/210*u**7 - 8/3*u**3 + 65*u. Suppose g(t) = 0. Calculate t.
-2, 2
Suppose 299 = 2*m + l, 5*l = 2*m + 3*m - 755. Factor 132*h - 7*h + 48*h**2 + 3*h**3 + m + 10*h - 12*h**2.
3*(h + 2)*(h + 5)**2
Let p(k) be the first derivative of 3*k**4/4 - 22*k**3 + 123*k**2/2 - 60*k + 1151. Factor p(r).
3*(r - 20)*(r - 1)**2
Let h be (-82)/(-20) - 42/210 - 14/4. Determine b so that 4/5*b - h*b**2 + 16/5 = 0.
-2, 4
Let c(p) = -7*p**2 - p. Let u = 23 - 21. Let b(y) = -4*y**2 + 26 - u*y - 2*y**2 - 26. Let j(s) = 3*b(s) - 2*c(s). Determine q, given that j(q) = 0.
-1, 0
Determine m so that 2/9*m**3 - 266/3 + 14*m**2 + 670/9*m = 0.
-57, -7, 1
Let w(h) = -16*h + 148. Let i be w(9). Suppose 2*o - 4 = i*q, -3*o + 3*q = 2 - 5. Suppose o - 14/3*a**2 - 10/3*a**3 - 2*a - 2/3*a**4 = 0. What is a?
-3, -1, 0
Let o(v) be the third derivative of v**5/150 + 29*v**4/60 + 12*v**3 - 866*v**2. Find b such that o(b) = 0.
-20, -9
Let r(z) be the first derivative of 2*z**3/9 + 1066*z**2/3 + 568178*z/3 + 152. Factor r(d).
2*(d + 533)**2/3
Suppose -15*i + 11*i + 8 = 0. Determine g so that 8*g**3 - 86*g**3 - 5*g**5 + 2*g**5 + 33*g**4 + 48*g**i = 0.
0, 1, 2, 8
Solve -1/3*r**2 + 0 + 1/3*r = 0.
0, 1
Suppose 459*a - 4200 = -125*a - 116*a. Let -24*x**2 - 15/2*x**3 - a*x + 0 + 21/2*x**4 = 0. What is x?
-1, -2/7, 0, 2
Factor -1512/5*s**3 - 1518/5*s + 3/5*s**4 + 0 - 3033/5*s**2.
3*s*(s - 506)*(s + 1)**2/5
Let w(p) be the first derivative of -p**4/78 + 184*p**3/39 - 8464*p**2/13 + 174*p - 174. Let g(d) be the first derivative of w(d). Find c, given that g(c) = 0.
92
Let s = -571 + 1587. Let d = -1014 + s. Find x, given that -3/4*x**d - 33/4*x + 0 = 0.
-11, 0
Let x(c) be the second derivative of -7*c**4/54 - 482*c**3/27 + 23*c**2/3 - 3328*c. Factor x(o).
-2*(o + 69)*(7*o - 1)/9
Let f = 7 + -2. Suppose 0 = -2*l + f*l - 12. Factor -4*j**2 - 26*j**4 + 8*j**3 + 10*j**4 + 12*j**l.
-4*j**2*(j - 1)**2
Let w(y) be the third derivative of -y**7/70 + 67*y**6/40 - 97*y**5/4 + 773*y**4/8 - 177*y**3 + 2493*y**2. Factor w(f).
-3*(f - 59)*(f - 6)*(f - 1)**2
Let t(d) be the third derivative of d**8/1344 - d**7/120 + 3*d**6/80 - d**5/12 + d**4/12 - d**2 - 6*d + 4. Factor t(r).
r*(r - 2)**3*(r - 1)/4
Let w(q) = -q**3 + 126*q**2 + 346*q - 201. Let z(a) = -3*a**3 + 252*a**2 + 692*a - 403. Let b(s) = 10*w(s) - 6*z(s). Factor b(y).
4*(y - 34)*(y + 3)*(2*y - 1)
Let o(w) be the third derivative of w**7/30 - 257*w**6/20 - 369*w**5/20 + 221*w**4/12 - 26*w**2 - 12*w. Suppose o(h) = 0. Calculate h.
-1, 0, 2/7, 221
Let a(o) be the third derivative of 0 + 1/480*o**6 + 1/30*o**5 + 0*o**3 + 103*o**2 + 0*o + 1/6*o**4. Factor a(l).
l*(l + 4)**2/4
Let q(b) be the first derivative of b**6/18 + b**5/5 - b**4/4 - 7*b**3/9 + b**2 + 1425. Suppose q(g) = 0. What is g?
-3, -2, 0, 1
Factor 22/3*u**2 + 2/3*u**3 - 82/3*u - 130.
2*(u - 5)*(u + 3)*(u + 13)/3
Let b = -985 - -2956/3. Let v(l) be the second derivative of -b*l**4 + 1/5*l**5 + 2/15*l**6 + 5*l + 0*l**2 + 0*l**3 - 2/21*l**7 + 0. Factor v(j).
-4*j**2*(j - 1)**2*(j + 1)
Find h, given that 1/4*h**4 + 0 - 14*h - 25/4*h**3 - 41/2*h**2 = 0.
-2, -1, 0, 28
Let x(o) = -24*o**5 - 400*o**4 - 2262*o**3 - 4560*o**2 - 3064*o - 648. Let l(t) = -4*t**5 - t**3 - 2*t. Let g(i) = 2*l(i) - x(i). Let g(d) = 0. What is d?
-18, -3, -1/2
Let y(o) be the first derivative of o**3/15 - 3*o**2/10 - 28*o/5 + 2530. Suppose y(r) = 0. What is r?
-4, 7
Let o(w) be the first derivative of -w**5/20 - w**4/2 - 2*w**3 + 9*w**2/2 - w - 14. Let m(i) be the second derivative of o(i). Suppose m(h) = 0. What is h?
-2
Let h(w) = -4*w**2 - 5322*w - 3543158. Let m(i) = 13*i**2 + 15965*i + 10629492. Let q(p) = 7*h(p) + 2*m(p). Factor q(d).
-2*(d + 1331)**2
Find u, given that 10976/5 + 4/5*u**3 - 2192*u + 2728/5*u**2 = 0.
-686, 2
Factor -576 - 3*t**3 + 3*t**3 - 7*t**3 + 4*t**3 - 12*t**2 + 337*t - 97*t.
-3*(t - 4)**2*(t + 12)
Let j(i) be the first derivative of 1/18*i**3 + 3/2*i**2 + 0*i + 47. Find v such that j(v) = 0.
-18, 0
Let y(c) be the second derivative of -1/330*c**6 + 0*c**2 - 2/11*c**4 - 9/220*c**5 - 2 - 10/33*c**3 - 3*c. Factor y(q).
-q*(q + 2)**2*(q + 5)/11
Factor p + 286*p**4 - 25*p**5 - p - 960*p**3 + 202*p**4 + 21*p**5.
-4*p**3*(p - 120)*(p - 2)
Let d = -3480 + 3486. Let n(t) be the third derivative of -5/2*t**4 - 16/3*t**3 + 39*t**2 + 0*t + 0 - 2/5*t**5 + 1/30*t**d. Factor n(a).
4*(a - 8)*(a + 1)**2
Let s(m) be the first derivative of -3*m**5/5 + 21*m**4 - 59. Factor s(o).
-3*o**3*(o - 28)
Let s be 2/(-3)*(-3)/4*4. Let g(n) = -n**3 + 4*n**2 + 6*n - 3. Let t be g(4). Factor d**3 - 27*d**5 + 14*d**3 + 30*d**4 - t*d**4 + 3*d**s.
-3*d**2*(d - 1)*(3*d + 1)**2
Let k(p) be the second derivative of p**6/120 + p**5/45 - 5*p**4/72 - p**3/9