 3*f**3 - 24*f + 19*f**c + 16*f**x.
2*f*(f - 1)*(f + 3)**3
Let d(c) be the third derivative of 1/600*c**6 - 2*c**2 - 1/120*c**4 - 24 + 0*c + 1/2100*c**7 - 1/600*c**5 + 0*c**3. Factor d(o).
o*(o - 1)*(o + 1)*(o + 2)/10
Suppose 2*t - 23 = 15. Let i(z) = 30*z - 8*z**2 + 34 + 13*z**2 + t*z**2. Let p(w) = -5*w**2 - 6*w - 7. Let x(r) = -3*i(r) - 14*p(r). Factor x(k).
-2*(k + 1)*(k + 2)
Let n(y) be the third derivative of y**5/30 + 133*y**4/2 + 53067*y**3 + 2332*y**2. Factor n(f).
2*(f + 399)**2
Solve -158*y**2 + 91/3*y**3 + 1/3*y**4 + 192*y + 0 = 0 for y.
-96, 0, 2, 3
Let x = -6359 + 228925/36. Let l(p) be the first derivative of -1/9*p**3 + 1/3*p + 20 + 1/18*p**2 - x*p**4. What is v in l(v) = 0?
-3, -1, 1
Let i be (-10)/(-4)*(-15)/(-25). Suppose 16*d - 46 = -7*d. Find u, given that -1/4*u + 0 + u**4 + i*u**d - 9/4*u**3 = 0.
0, 1/4, 1
Let d(o) = -21*o**2 + 31*o - 10. Suppose 3 + 12 = f. Let w(t) = 3*t - f*t - 19*t + 10 + 20*t**2 + t. Let q(z) = 5*d(z) + 6*w(z). Find m, given that q(m) = 0.
2/3, 1
Factor 4*f**4 + 958136*f - 5771588 + 3364094*f + 1352*f**3 + 1296130*f + 147594*f**2 + 4278*f**2.
4*(f - 1)*(f + 113)**3
Let l(p) = -2*p**3 - 23*p**2 + 12*p - 2. Let x(q) = 3*q**3 + 35*q**2 - 19*q + 5. Let b(f) = 8*l(f) + 5*x(f). Factor b(u).
-(u - 1)*(u + 1)*(u + 9)
Let l = -109583/2856 + 307/8. Let k = l + 1406/3927. Factor k*v + 0 + 4/11*v**3 + 10/11*v**2.
2*v*(v + 2)*(2*v + 1)/11
Let n = 104357/7 - 14872. Let w = -36 + n. Factor -w*u + 1/7*u**2 - 2/7.
(u - 2)*(u + 1)/7
Determine a, given that 3504/7*a + 3/7*a**3 + 255/7*a**2 + 13248/7 = 0.
-69, -8
Let a(v) be the second derivative of -v**6/5 + 103*v**5/10 - 132*v**4 - 540*v**3 + 3022*v. Factor a(t).
-2*t*(t - 18)**2*(3*t + 5)
Let c(h) be the third derivative of h**5/12 + 130*h**4 + 81120*h**3 - 4*h**2 + 162. Determine p so that c(p) = 0.
-312
Let m(n) be the first derivative of 3*n**5/5 - 141*n**4/4 - 7*n**3 + 969*n**2/2 + 846*n + 3403. Let m(x) = 0. What is x?
-2, -1, 3, 47
Suppose -2*m + 0*m = -5*h - 377, -4*m = 16. Let s = 80 + h. What is x in -x**5 + 86*x**2 + x**4 + x**s - 87*x**2 - 2 + 2 = 0?
-1, 0, 1
Factor -17410881135*z - 725758*z**5 - 37936535625 - 13240*z**4 - 16225*z**4 - 58404271740*z + 57859430*z**3 - 37820728350*z**2 + 725763*z**5.
5*(z - 1965)**3*(z + 1)**2
Let u be (-1323)/1029 - 41376/(-560). Solve u + 3/5*j**3 - 63/5*j**2 + 297/5*j = 0.
-1, 11
Let l(d) = 115*d - 16330. Let w be l(142). Factor 32/17*q**2 + 32/17*q - 8/17*q**4 - 2/17*q**5 + w + 0*q**3.
-2*q*(q - 2)*(q + 2)**3/17
Factor 656/3 - 140/3*b - 2*b**2.
-2*(b - 4)*(3*b + 82)/3
Let g(a) = -a**3 + 27*a**2 - 26*a + 8. Let w be g(26). Suppose 0 = -3*q + 3*r + 2*r + 16, -3*r = 3*q. Factor -8*d + 4*d - 16*d**3 - w*d**q + 3*d.
-d*(4*d + 1)**2
Let f(c) be the third derivative of -c**8/84 + 2*c**7/7 - 3*c**6/10 - 67*c**5/15 - 7*c**4 - c**2 - 261. Solve f(v) = 0 for v.
-1, 0, 3, 14
Let b(u) = -3*u**4 - 676*u**3 - 38309*u**2 - 2*u + 14. Let n(x) = -x**3 + x**2 + x - 7. Let t(m) = -b(m) - 2*n(m). Factor t(y).
3*y**2*(y + 113)**2
Let r(x) = -x**4 + x**2 + x. Let y(z) = -200*z**3 - 38370*z + 781250 + 6*z**4 + 16051*z - 102685*z + 0*z**4 + 7496*z**2. Let s(q) = -4*r(q) - y(q). Factor s(c).
-2*(c - 25)**4
Let n = -15747 - -15747. Let p(s) be the third derivative of 0*s + 1/3*s**4 + 18*s**2 - 1/5*s**5 + 0*s**6 + 0 + n*s**3 + 2/105*s**7. Factor p(b).
4*b*(b - 1)**2*(b + 2)
Factor 324*c + 999 - 1/4*c**3 + 99/4*c**2.
-(c - 111)*(c + 6)**2/4
Let i(z) = z**2 + 23*z + 58. Let h(f) = 2*f**2 + 21*f + 59. Let l(m) = 2*h(m) - 3*i(m). Let t be l(29). What is u in -u - 3*u**2 - 3 + 21*u**t + 5*u + 11*u = 0?
-1, 1/6
Let v be (-1)/2 - (-4)/((-24)/21). Let n be (6/v)/(6/(-12)). What is u in 4*u + n*u**2 - 29*u + 5*u**2 - 3*u**2 = 0?
0, 5
Let p(t) = -15*t**2 - 22*t - 68. Let y be p(-9). Let c = y - -7607/7. Factor 2/7*u**2 + 0 + c*u**4 + 0*u - 9/7*u**3 - 5/7*u**5.
-u**2*(u - 1)**2*(5*u - 2)/7
Suppose 4*c - 5*b = 19 - 6, -7*c + 5*b = -19. Factor 24/7*y + 0 + 8/7*y**c - 2/7*y**3.
-2*y*(y - 6)*(y + 2)/7
Suppose -68 = -3*b + 4. Suppose 5*n + b - 94 = 0. Let -4*d - d**5 + 0*d**4 + n*d**2 + 3*d**3 - 7*d**5 - 14*d**4 + 9*d**3 = 0. What is d?
-2, -1, 0, 1/4, 1
Let q(p) = p + 1. Let g be q(2). Factor -14*h**4 + 70*h**3 + 8*h**2 - 66*h**g + 10*h**4.
-4*h**2*(h - 2)*(h + 1)
Let a(h) be the second derivative of -5*h**4/12 - 115*h**3/6 - 55*h**2 - h - 76. Factor a(b).
-5*(b + 1)*(b + 22)
Let d(q) be the first derivative of -q**3/15 + 497*q**2/10 - 198*q + 1575. Factor d(r).
-(r - 495)*(r - 2)/5
Let n(i) = 3*i + 42. Let h be n(-19). Let y be 8/6*h/(-4). Factor -y*t**2 + 5*t**2 - 4*t**2 + 8*t + 8*t**2.
4*t*(t + 2)
Factor 6183*u**2 + 0*u**4 + 849*u**3 + 223637*u**2 + 2*u**4 + 463780*u**2 - 2889*u**3 - 78608000*u.
2*u*(u - 340)**3
Let h be 7530/15813*(-2 + 1)*-9. Solve 0*q + 33/7*q**3 + 9/7*q**5 + 12/7*q**2 + 0 + h*q**4 = 0 for q.
-4/3, -1, 0
Let h(y) = -24*y**3 + 381*y**2 + 276*y - 77. Let q(j) = 4*j**3 - 63*j**2 - 46*j + 13. Let n(a) = -2*h(a) - 13*q(a). Solve n(g) = 0.
-1, 1/4, 15
Let f(j) be the third derivative of -j**5/150 - 31*j**4/60 - 10*j**3 + 31*j**2 + 10*j. Factor f(p).
-2*(p + 6)*(p + 25)/5
Let w(m) be the third derivative of -m**8/47040 + m**7/1260 - 41*m**4/8 - m**2 - 70*m. Let t(u) be the second derivative of w(u). Let t(r) = 0. Calculate r.
0, 14
Let v = 300 + -60. Let k be (v/(-450))/((-1)/10). What is u in -2/3 - 2*u**4 - 1/3*u**5 - k*u**2 - 3*u - 14/3*u**3 = 0?
-2, -1
Let d(y) be the second derivative of y**4/42 + 85*y**3/7 - 514*y**2/7 + 1138*y. Factor d(x).
2*(x - 2)*(x + 257)/7
Find m, given that 3/7*m**2 + 1065/7*m + 2118/7 = 0.
-353, -2
Let r = -203 - -205. Let p be (-1*4)/((-8)/4). Solve -4*m**2 - 5*m + 13*m**2 - 2 - 10*m**p - r = 0.
-4, -1
Solve -75*n**3 - 13*n**4 + 17*n**4 + 16480 + 12106 - 3384*n**2 - 6806 - 21*n**3 - 18304*n = 0.
-11, 1, 45
Let z = 747 - 694. Let h = z - 50. Determine y so that 0 - 1/5*y + 0*y**2 + 1/5*y**h = 0.
-1, 0, 1
Factor -128/3 + 134/9*r - 2/9*r**2.
-2*(r - 64)*(r - 3)/9
Let c be (4/10)/((-1)/(-5)). Let b = -138428 + 138431. Suppose 2/7*w**b + 2/7*w**4 + 4/7 - 2/7*w - 6/7*w**c = 0. What is w?
-2, -1, 1
Let k be 550/(-1375) + 130/200. Factor 10*q**2 + 0 - 4*q - k*q**5 - 33/4*q**3 + 5/2*q**4.
-q*(q - 4)**2*(q - 1)**2/4
Let i(d) be the first derivative of -3*d**4/2 - 19*d**3/3 + 111*d**2/2 + 3937. Determine r so that i(r) = 0.
-37/6, 0, 3
Let o be 8/(168/45) + (-82)/574. Let x be (0/2)/(-4 + 5). Factor x*k**o + 2/5*k**4 + 0*k + 0 + 2/5*k**3.
2*k**3*(k + 1)/5
Let b be ((-27)/99)/((-7 + 869/121)*-1). Let 1/6*x**3 + 0 - 11/3*x + b*x**2 = 0. What is x?
-11, 0, 2
Factor 20880*v**2 + v**4 + 456*v**3 + 375452 - 316008*v + 9555*v**2 + 30359*v**2 - 10196*v**2 + 104797.
(v - 3)**2*(v + 231)**2
Let u(a) be the first derivative of -a**7/168 + a**6/18 - 5*a**5/24 + 5*a**4/12 + a**3/3 - 13*a**2 - 28. Let n(m) be the third derivative of u(m). Factor n(y).
-5*(y - 2)*(y - 1)**2
Suppose 2*c = 34*c + 640. Let g be 32/c - (-8 - (-48)/8). Factor -1/5*s + 1/5*s**2 - g.
(s - 2)*(s + 1)/5
Let j = 73/210 - 1/70. Let b(i) = -i**3 - 9*i**2 - 12*i - 30. Let h be b(-8). Factor -j*m**3 - 16*m - 4*m**h - 64/3.
-(m + 4)**3/3
Let w(c) = 7*c - 84. Let u be w(0). Let f be (-93)/u + 5/(-20). Factor -3/7*y**2 - 3/7 - f*y.
-3*(y + 1)**2/7
Let y(d) be the first derivative of 13*d**7/420 + 11*d**6/180 - 5*d**5/156 + d**4/156 + 16*d**3/3 - 78. Let w(x) be the third derivative of y(x). Factor w(b).
2*(b + 1)*(13*b - 1)**2/13
Suppose -96*z + 63*z + 153 = -12. Let w(u) be the first derivative of 30*u**2 + 10/3*u**3 + 40*u - u**z + 8 - 15/4*u**4. Solve w(b) = 0.
-2, -1, 2
Let v(g) = -2*g**2 + 1172*g - 6960. Let m be v(6). Determine l, given that m - 2/5*l**2 + 44/5*l = 0.
0, 22
Factor 236*i + 193*i + 79*i + 5469*i**2 - 1560 - 5325*i**2 - 4*i**3.
-4*(i - 39)*(i - 2)*(i + 5)
Let f be 2*(28/8 - 2). Let d = 16113/7 + -64389/28. Find t, given that -3/4*t**2 - 9/4*t + d*t**f - 3/4*t**4 + 3/2 = 0.
-1, 1, 2
Factor -92/3*a**4 - 11856/5*a**3 + 0 - 1755904/15*a - 947264/15*a**2 - 2/15*a**5.
-2*a*(a + 2)*(a + 76)**3/15
Let r be (-38)/((-368)/46 + -11). Determine s so that -1/7*s**r - 5329/7 - 146/7*s = 0.
-73
Let r be (-26)/(-7) + (-175)/245. Let l be 216/(-96)*(-2)/r*11. Factor -l*p - 27/2*p**2 - 3.
-3*(p + 1)*(9*p + 2)/2
Let o be (-22 - -1)/(105/(-1575)). Let p = o + -2201/7.