10*x**3 + 44 + 41*x**3 + 4*x**2 + 20*x**4. Let z(n) = 4*l(n) + 5*s(n). Factor z(f).
-3*f*(f + 1)*(f + 3)*(5*f - 3)
Let k be 192/36 + (-150)/45. Determine h, given that -1/7*h**3 - 1/7*h**4 + 0*h + 2/7*h**k + 0 = 0.
-2, 0, 1
Let o(c) be the first derivative of -c**6/2 + 33*c**5/5 - 69*c**4/2 + 90*c**3 - 243*c**2/2 + 81*c + 669. Factor o(i).
-3*(i - 3)**3*(i - 1)**2
Let r(l) be the first derivative of 2*l**6/15 - 24*l**5/25 - 7*l**4/5 - 715. Find f, given that r(f) = 0.
-1, 0, 7
Let c(w) be the second derivative of -w**6/15 - 353*w**5/10 - 10555*w**4/2 - 88375*w**3/3 + 306250*w**2 - 129*w + 6. Solve c(k) = 0.
-175, -5, 2
Let r be (-4*(-3)/(-300))/(36/1635). Let m = 31/15 + r. Suppose 7/2*f**2 - 1/4*f**4 - m*f**5 + 3/4 + 11/4*f + 3/2*f**3 = 0. Calculate f.
-1, 3
Let x = 1070/11 + -4247/44. Let m(p) be the first derivative of -1/4*p**3 + 1/8*p**2 + x*p - 1/16*p**4 - 8. Factor m(a).
-(a - 1)*(a + 1)*(a + 3)/4
Let i = 5602 - 5598. Let x(h) be the second derivative of -2*h**2 + 8/3*h**3 - 9/20*h**5 + 0 + 11/12*h**i - 4*h. Let x(w) = 0. What is w?
-1, 2/9, 2
Let f = -63 - -67. Let h(x) be the third derivative of f*x**2 + 0*x**5 - 1/420*x**7 + 0*x - 1/120*x**6 + 0*x**4 + 0*x**3 + 0. Factor h(y).
-y**3*(y + 2)/2
Let i(k) be the third derivative of 0 - 1/60*k**5 + 13/2*k**3 - 19/12*k**4 + 0*k - 249*k**2. Solve i(h) = 0 for h.
-39, 1
Let l = 205633 - 205631. What is m in 792/19*m - 36/19*m**3 - 74/19*m**l - 968/19 - 2/19*m**4 = 0?
-11, 2
Let -36366*g - 3364/3 + 2512*g**2 - 130/3*g**3 = 0. What is g?
-2/65, 29
Suppose 2 = 3*l + 2*v - 10, -3*v = -5*l + 20. Suppose -24 = -m - l. Factor 13*h**2 - 13 - 48*h**2 - 75*h - m - 5*h**3 - 12.
-5*(h + 1)*(h + 3)**2
Factor -10*k + 107*k**2 - 8*k - 211*k**2 - 10*k + 105*k**2.
k*(k - 28)
Let k = 23332 + -23328. Let g(b) be the third derivative of 3/10*b**3 + 20*b**2 + 1/600*b**6 + 1/8*b**k + 0 + 7/300*b**5 + 0*b. Factor g(n).
(n + 1)*(n + 3)**2/5
Factor -92/11*r**2 + 248/11*r - 208/11 + 10/11*r**3.
2*(r - 2)**2*(5*r - 26)/11
Let j = 536702/11 - 48791. Factor 1/11*d**2 - 2/11*d + j.
(d - 1)**2/11
Let x(q) be the third derivative of 0 - 11/120*q**5 - 31*q**2 + 1/8*q**4 - 1/420*q**7 + 1/40*q**6 + 0*q**3 + 0*q. Determine b, given that x(b) = 0.
0, 1, 2, 3
Let d(v) = 258*v + 111974. Let g be d(-434). Let 0 + 2/3*o + 0*o**3 + 9*o**4 - 3*o**g = 0. What is o?
-2/3, 0, 1/3
Factor 4/3*b**3 - 1/6*b**4 - 13/6*b**2 + 0 + b.
-b*(b - 6)*(b - 1)**2/6
Let y be (8/56 + -2)/(156/(-273)). Factor 1/4*p**2 + 3 - y*p.
(p - 12)*(p - 1)/4
Factor -61009/7 - 494/7*p - 1/7*p**2.
-(p + 247)**2/7
What is f in 3*f**2 + 14 - 167 - 1429*f + 722*f - 42 + 731*f = 0?
-13, 5
Let w(c) = -2*c**3 + c**2 - 2*c - 88. Let z be w(0). Let q = 92 + z. Factor 3/4*b**q + b**3 - 1/4 - 1/2*b**2 - b.
(b - 1)*(b + 1)**2*(3*b + 1)/4
Let j(b) be the third derivative of -b**7/8820 + b**6/70 - 27*b**5/35 - 2*b**4 + b**2 + 13*b. Let a(k) be the second derivative of j(k). What is r in a(r) = 0?
18
Let c(i) = -17*i**3 + 1781*i**2 + 776148*i - 777930. Let d(k) = 3*k**3 - 3*k**2 + 2*k + 1. Let g(b) = c(b) + 6*d(b). Factor g(n).
(n - 1)*(n + 882)**2
Let w(l) be the third derivative of l**8/112 + l**7/6 - l**6/10 - 33*l**2 - 3. What is f in w(f) = 0?
-12, 0, 1/3
Let t = 117 - 110. Find o, given that -t*o + 5639*o**3 + 6*o**2 - 9*o + 6 - 5635*o**3 = 0.
-3, 1/2, 1
Suppose 65*v + 40*v + 3261*v**2 - 5*v**5 - 3211*v**2 - 100*v**3 - 50*v**4 = 0. What is v?
-7, -3, -1, 0, 1
Let i(k) be the third derivative of -1/8*k**6 - 10*k**3 - 5/3*k**4 + 0 - 83*k**2 + 13/12*k**5 + 0*k. Solve i(b) = 0 for b.
-2/3, 2, 3
Let 38*f**2 + 0*f + 0 + 1/2*f**3 = 0. What is f?
-76, 0
Let w(r) be the second derivative of -3*r**4/2 + 497*r**3/2 + 249*r**2/2 + 772*r. Let w(q) = 0. Calculate q.
-1/6, 83
Suppose 5*n - 3*g + 13 + 7 = 0, -5 = -g. Let a be (16 - 13) + n + 0. Suppose -2/3*m**4 + 0 + 0*m**3 + 0*m**a + 0*m = 0. What is m?
0
Let h(q) = -q**2 - q. Suppose -a = -5*x - 0*x - 8, 4*a + 2*x + 56 = 0. Let n(m) = 14*m**2 - 8*m + 18. Let j(y) = a*h(y) - n(y). Find u, given that j(u) = 0.
1, 9
Let c(d) be the second derivative of -d**5/80 + 7*d**4/24 - 8*d**3/3 + 12*d**2 + 303*d + 1. Suppose c(z) = 0. Calculate z.
4, 6
Factor 416*f + 64896 + 2/3*f**2.
2*(f + 312)**2/3
Suppose -116*v + 953*v - 2109 + 435 = 0. Determine p so that -15/8*p + 1/8*p**v - 17/4 = 0.
-2, 17
Let z be -1 + 1 - (3 + -3 - 15). Suppose z = p + 12. Factor g**5 + 43*g**3 + 3*g**5 - 8*g**2 - 55*g**p.
4*g**2*(g - 2)*(g + 1)**2
Let n(r) be the first derivative of r**4/60 + 7*r**3/15 + 49*r**2/10 - 18*r - 57. Let s(o) be the first derivative of n(o). Let s(f) = 0. What is f?
-7
Let j(c) be the third derivative of 121*c**7/70 - 253*c**6/10 + 452*c**5/5 - 70*c**4 + 24*c**3 + 1056*c**2. Solve j(t) = 0.
2/11, 2, 6
Let y(v) be the third derivative of -v**7/70 - 131*v**6/20 - 17421*v**5/20 - 8515*v**4/2 - 8450*v**3 + 125*v**2 - 5*v - 1. Suppose y(b) = 0. What is b?
-130, -1
Let w(q) be the second derivative of -q**6/72 + 11*q**5/24 - 15*q**4/4 - 4*q**3/3 + q**2/2 - 2*q - 18. Let p(o) be the second derivative of w(o). Factor p(l).
-5*(l - 9)*(l - 2)
Let u(r) be the first derivative of r**5 - 10*r**4 + 40*r**3/3 + 80*r**2 - 240*r + 1676. Factor u(b).
5*(b - 6)*(b - 2)**2*(b + 2)
Let a(t) be the first derivative of -t**6/15 + 74*t**5/5 - 769*t**4 - 10596*t**3 - 49761*t**2 - 508086*t/5 - 13596. Factor a(l).
-2*(l - 97)**2*(l + 3)**3/5
Let r(v) be the second derivative of 0 - 1/75*v**6 - 4/15*v**3 + 0*v**2 + 34*v + 1/50*v**5 + 2/15*v**4. Let r(m) = 0. What is m?
-2, 0, 1, 2
Let x = -683637 - -683638. Factor -3*m + 1/4*m**4 - 3/2*m**3 + x + 13/4*m**2.
(m - 2)**2*(m - 1)**2/4
Let n(h) be the second derivative of h**4/90 + 28*h**3/15 + 81*h**2/5 - 83*h. Determine q, given that n(q) = 0.
-81, -3
Suppose 0 = -3*i - 3, 11*o + 5*i = 8*o + 16. Suppose 0*q**2 + 12 + 8*q**2 - 16*q**2 - o*q**2 + 3*q**4 = 0. What is q?
-2, -1, 1, 2
Let r = -412 - -420. Let 0*m**3 + 6*m**3 + 6*m**3 + 4*m**5 - 7*m**3 - m**3 + r*m**4 = 0. Calculate m.
-1, 0
Let v(g) = 2*g + 16. Let o be v(-6). Let t be (-3)/(9/6) + o. Determine p, given that 0*p**4 - 39*p**3 + 2*p**t + 42*p**3 - 2*p**4 - 3*p**5 = 0.
-1, -2/3, 0, 1
Let b(w) be the second derivative of -8/3*w**4 - 49/30*w**6 + 0 + 0*w**2 - 77/20*w**5 - 2/3*w**3 + 22*w. What is h in b(h) = 0?
-1, -2/7, 0
Let k(b) = -2*b**2 - 643*b + 5951. Let x be k(9). Suppose 2/13*c**5 + 16/13*c**3 + 0*c + 0 + 8/13*c**x + 10/13*c**4 = 0. What is c?
-2, -1, 0
Let j = -745 - -649. Let a be j/72 - (-17)/6. Factor -3/4*k**2 - a + 9/4*k.
-3*(k - 2)*(k - 1)/4
Let c = 40112/7 - 440854/77. Factor -486/11*k - 1458/11 - 2/11*k**3 - c*k**2.
-2*(k + 9)**3/11
Let g(w) = 2*w - 8. Let h be g(4). Suppose a - k + 1 = h, 4*a - 24*k + 23*k = 8. Factor 219/5*d**3 + a*d**4 - 150 + 285*d + 207*d**2.
3*(d + 5)**3*(5*d - 2)/5
Let d(r) = r**2 - 15*r + 30. Let c be -4 - -13 - (-8)/2*1. Let t be d(c). Factor -12*x**3 + 4*x**5 + 31*x**t - 35*x**4 + 3*x**2 - 8*x + 17*x**2 + 0*x**2.
4*x*(x - 1)**3*(x + 2)
Let s be 2/(-7) - (-26270)/70. Solve 370*z**2 + 0*z + 25 + 20*z - s*z**2 = 0 for z.
-1, 5
Let y = -75583 - -75586. Let -2/3*k**2 - 4*k**y + 0 + 2/3*k**4 + 4*k = 0. What is k?
-1, 0, 1, 6
Suppose b - 5 = 0, 3*h + h + 20 = 4*b. Let q(s) = s - 13. Let j be q(17). Factor 16/7*m**3 + 0*m**2 + h*m + 0 + 4/7*m**5 - 16/7*m**j.
4*m**3*(m - 2)**2/7
Suppose -8 = 4*a, v - 7*a + 5*a = 21. Find q, given that 93*q + 5*q**2 - 338 + v*q + 338 = 0.
-22, 0
Factor 38/3*d**2 + 35/3*d**3 + 0 - 1/3*d**4 - 24*d.
-d*(d - 36)*(d - 1)*(d + 2)/3
Factor 454/7*a**2 + 25990/7*a + 25538/7 + 2/7*a**3.
2*(a + 1)*(a + 113)**2/7
Let -21/2 + 1/4*g + 1/4*g**2 = 0. Calculate g.
-7, 6
Let w = 610 - 1033. Let q = 425 + w. Find r, given that -20*r - 25*r**4 - 5*r**q + 130/3*r**3 + 20/3 = 0.
-2/3, 2/5, 1
Let o(a) be the third derivative of 7*a**6/45 - 11*a**5/60 + a**4/12 + 43*a**3/2 - 279*a**2. Let y(i) be the first derivative of o(i). Factor y(h).
2*(4*h - 1)*(7*h - 1)
Factor 50/23*m + 2/23*m**3 + 24/23 + 28/23*m**2.
2*(m + 1)**2*(m + 12)/23
Let z(u) = 18*u**2 - 2*u. Let g(t) be the second derivative of 7*t**4/6 - t**3/2 - 28*t. Let s(x) = 4*g(x) - 3*z(x). Factor s(b).
2*b*(b - 3)
Let c(o) be the third derivative of -o**8/336 + o**7/210 + 2*o**6/15 + o**5/3 + 143*o**2 - 7. Find a, given that c(a) = 0.
-2, 0, 5
Let k(i) be the s