+ 7/4*y**4 + 0 + q*y**3 + 3/2*y.
y*(y + 1)*(y + 3)*(7*y + 2)/4
Let z(p) be the third derivative of -p**6/20 - 917*p**5/30 + 77*p**4/3 + 204*p**3 + 4172*p**2. Determine v, given that z(v) = 0.
-306, -2/3, 1
Suppose 3*p + 2*b = 19, p - 2*b = -4*b + 1. Factor -7*r - p*r**4 + 33*r**3 - 129*r**2 + 66*r + 172*r - 24*r - 108 + 6*r**4.
-3*(r - 4)*(r - 3)**2*(r - 1)
Let c(p) be the first derivative of p**6/9 - 5*p**5/12 + 5*p**4/36 + 5*p**3/9 + 111*p + 143. Let t(f) be the first derivative of c(f). What is d in t(d) = 0?
-1/2, 0, 1, 2
What is h in 312*h**2 - 3*h**3 + 75*h**4 - 115*h - 77*h**2 - 70*h**4 - 122*h**3 = 0?
0, 1, 23
Suppose -7*j + 684 = 12*j. What is o in 12 - 20*o**4 + 184*o**2 - 110*o**3 - j*o - 48 + 6*o**3 + 12*o**5 = 0?
-3, -1/3, 1, 3
Solve 38/3*u - 2/3 + 28*u**2 = 0.
-1/2, 1/21
Let 21/4*h**2 + 1/4*h**3 - 285/4*h + 775/4 = 0. Calculate h.
-31, 5
Let q = 1807 - 1805. Let t(d) be the first derivative of -16*d + 12 + 4/3*d**3 + 6*d**q. Factor t(l).
4*(l - 1)*(l + 4)
Solve 79*y + 5*y**3 - 38*y**2 - 229*y + 450*y - 7*y**3 = 0.
-25, 0, 6
Determine k so that -7200 + 3624*k - 462*k**2 + 3/2*k**3 = 0.
4, 300
Let t(d) = -65*d**3 - 760*d**2 + 5790*d - 1605. Let l(b) = 33*b**3 + 379*b**2 - 2898*b + 802. Let q(z) = -5*l(z) - 2*t(z). Factor q(o).
-5*(o - 5)*(o + 16)*(7*o - 2)
Let f(g) be the third derivative of g**6/30 + 17*g**5/15 - g**4/6 - 34*g**3/3 - 804*g**2. Factor f(j).
4*(j - 1)*(j + 1)*(j + 17)
Let k(o) be the second derivative of -2*o**7/147 + 29*o**6/105 - 16*o**5/35 - 103*o**4/42 + 160*o**3/21 - 52*o**2/7 + 154*o - 1. Find u, given that k(u) = 0.
-2, 1/2, 1, 2, 13
Let r(n) be the third derivative of -n**6/135 - 47*n**5/135 - 44*n**4/9 + 32*n**3/3 - 1064*n**2. Factor r(b).
-4*(b + 12)**2*(2*b - 1)/9
Suppose 3*h + y = 4*h + 9, 0 = -2*h + 4*y - 14. Let s = -8 - h. Factor 0*g - 4*g**2 + 7 - s + 4*g**3 - 4*g.
4*(g - 1)**2*(g + 1)
Factor -70*j + 8*j**3 - 720 - 5*j - 75*j + j**3 - 4*j**3 + 115*j**2.
5*(j - 3)*(j + 2)*(j + 24)
Suppose -5*x = -u + 26, -5*u + 4*x = -181 + 9. Let o be (-2)/u + ((-14)/(-4))/7. Solve -o + 2/9*v**2 + 2/9*v = 0.
-2, 1
Suppose 440*t - 445*t = -65. Let -4 - 2038*b**2 - 1004*b**2 - 17 + t - 312*b = 0. What is b?
-2/39
Let u(o) be the second derivative of 22*o + 0*o**3 - 1/50*o**5 + 0*o**2 - 1/20*o**4 + 2 + 1/150*o**6. Find z such that u(z) = 0.
-1, 0, 3
Solve 33*g**3 + 3/2*g**4 - 33*g - 63/2 + 30*g**2 = 0.
-21, -1, 1
Suppose 0 = 2*m + 5*g - 28, 0 = -g + 4 - 0. Find t, given that -76*t**3 - 17*t**4 + 16*t**2 + 32*t**3 - m*t**5 - 11*t**4 - 36*t**2 = 0.
-5, -1, 0
Let r be (18/(-32))/(6/(-4)). Let g be 100/(-175) - (4 - 1108/1120*5). Factor -3/8*b - g + 3/4*b**2 + 3/4*b**3 - r*b**4 - 3/8*b**5.
-3*(b - 1)**2*(b + 1)**3/8
Let f(g) be the first derivative of -g**4/20 + 7*g**3/5 - 126*g + 3. Let c(k) be the first derivative of f(k). Factor c(j).
-3*j*(j - 14)/5
Let -231*k**2 + 8 + 478*k + 21*k**2 - 410*k**2 + 117*k + 17 = 0. What is k?
-5/124, 1
Let k = -6155/3 + 2052. Let p(u) be the third derivative of 0*u + k*u**3 - 1/10*u**5 + 0 + 4*u**2 - 1/6*u**4. What is i in p(i) = 0?
-1, 1/3
Let t(h) = -52*h**2 + 92*h + 59. Let y(w) = -3*w**2 + 2*w. Let o(b) = 3*t(b) - 51*y(b). Suppose o(a) = 0. Calculate a.
-1, 59
Suppose 2*b = -5*y - 2*b + 184, -2*b - 8 = 0. Factor r**2 + 5*r**5 - 60*r - r**2 + 55*r**3 - 30*r**4 + y - 10*r**2.
5*(r - 2)**3*(r - 1)*(r + 1)
Let x(f) be the third derivative of f**5/15 - 125*f**4/6 + 164*f**3 - 271*f**2. Factor x(k).
4*(k - 123)*(k - 2)
Let h(r) be the third derivative of 1/1155*r**7 + 0*r**3 + 107 - r**2 - 1/330*r**6 - 1/330*r**5 + 1/66*r**4 + 0*r. Factor h(z).
2*z*(z - 2)*(z - 1)*(z + 1)/11
Suppose 0 = h - 5*s - 20, 3*s = -5*h + 117 - 17. Suppose h*p - 17 = 63. Solve 4/5 + 2*r - 2*r**3 - 2*r**2 + 6/5*r**p = 0.
-1, -1/3, 1, 2
Suppose -12*s + 16*s - 32 = -4*c, 5*c - 5*s = 0. Let l(m) = -76*m + 308. Let a be l(c). What is u in -1/3*u**a + 2/3*u + 0 + 4/3*u**3 - 5/3*u**2 = 0?
0, 1, 2
Suppose 3*s - 10*s = -4273 + 4252. Let h be 28/10 + (3 - 5). Factor -h - 6/5*u + 2/5*u**s + 0*u**2.
2*(u - 2)*(u + 1)**2/5
Let x(s) be the third derivative of s**5/84 - 14003*s**4/168 - 2801*s**3/21 - 2*s**2 - 4088*s + 2. Factor x(h).
(h - 2801)*(5*h + 2)/7
Let y = -5024 + 75362/15. Let a(k) be the first derivative of -y*k**3 - 72/5*k - 12/5*k**2 + 2. Factor a(r).
-2*(r + 6)**2/5
Let r(c) be the third derivative of -c**7/5040 - c**6/360 - c**5/80 + 37*c**4/12 + 16*c**2 - 2*c. Let o(y) be the second derivative of r(y). Factor o(z).
-(z + 1)*(z + 3)/2
Let a be 847/(-363)*(-40)/14. Let i(m) be the second derivative of -1/4*m**5 + 0 + 9*m + 10*m**2 - a*m**3 + 25/12*m**4. Factor i(d).
-5*(d - 2)**2*(d - 1)
Let -515*q - 8386 + 8398 - 801*q - 1050*q**2 + 66*q = 0. Calculate q.
-6/5, 1/105
Let v = -263008 - -263010. Suppose 28/9*z**3 + 2/3*z**5 + 0 + 26/9*z**4 - 8/9*z**v - 16/9*z = 0. What is z?
-2, -1, 0, 2/3
Let c(r) be the second derivative of r**8/2240 - r**7/105 + 7*r**6/80 - 9*r**5/20 - 8*r**4/3 - 2*r - 7. Let p(g) be the third derivative of c(g). Factor p(n).
3*(n - 3)**2*(n - 2)
Factor -180 - 3/2*c**2 + 129/2*c.
-3*(c - 40)*(c - 3)/2
Factor -1152 - 240*y - 25/2*y**2.
-(5*y + 48)**2/2
Let x(r) be the third derivative of r**8/336 - r**7/10 - 3*r**6/5 + 503*r**5/15 + 304*r**4 - 1536*r**3 - 2*r**2 - r - 1. Let x(c) = 0. Calculate c.
-6, 1, 16
Suppose 0 = -5*g + r + 23, -389 + 387 = -r. Let q(t) be the first derivative of -4 - 5/6*t**6 - 7*t**g - 40/3*t**3 + 80*t - 20*t**4 + 40*t**2. Solve q(o) = 0.
-2, 1
Find v such that 156*v**3 - 1/2*v**5 + 0*v**2 + 0*v + 0 + 37*v**4 = 0.
-4, 0, 78
Let y be 2/(-3) + (-16)/(-6). Suppose -75 + 15 = -30*a. Solve 4 + n**a - 6*n**2 + 4*n**y = 0 for n.
-2, 2
Suppose 344/9*s**2 - 38/9*s**4 + 0 - 208/9*s - 116/9*s**3 + 2*s**5 = 0. Calculate s.
-26/9, 0, 1, 2
Let o be (136/238 - (6 - 1)) + 5. Let i be (-4)/(-1 + -3 + 2). Find d, given that -1/7*d**3 + o*d - 1/7*d**i + 4/7 = 0.
-2, -1, 2
Let j be 4/18 + 156/27. Let t = -100 - -102. Factor -g**2 + 8*g**4 + 31*g**t + 20*g + 20*g**3 + 11 - j - 3*g**4.
5*(g + 1)**4
Suppose 0 = 29*r - 60 - 56. Suppose 26*d**5 - 8*d**3 - 18*d**5 + 3*d**4 + 9*d**r = 0. Calculate d.
-2, 0, 1/2
Let o be (-14766)/(-72864) + (-2)/96. Factor -28/11*k + 0 + o*k**2.
2*k*(k - 14)/11
Let i = 292418 + -583995/2. Find t, given that 29*t + i + 1/2*t**2 = 0.
-29
Let x(k) be the third derivative of -k**5/180 + 407*k**4/72 - 7*k**2 + 237. Factor x(u).
-u*(u - 407)/3
Let z = 23659939/1455996 + -1/363999. Factor -45 + 50*a - z*a**2 + 5/4*a**3.
5*(a - 9)*(a - 2)**2/4
Let u(c) be the third derivative of -c**6/600 + 83*c**5/100 - 1025*c**4/8 - 3125*c**3/6 + 14*c**2 - 33. Factor u(x).
-(x - 125)**2*(x + 1)/5
Let d be (48/24)/(-4*(-2)/12). Solve -2*m**4 - 146*m - 6*m**d - 14*m**2 + 158*m + 16 - 6*m**3 = 0.
-4, -2, -1, 1
Let x(y) = 2*y**2 + 2528*y + 44858. Let o be x(-18). Suppose 1/4*r**o - 39*r + 1521 = 0. What is r?
78
Let r be -5 - (-2)/495*1293 - (985/75 + -13). Determine m so that 54/11*m + 53/11 + r*m**2 = 0.
-53, -1
Let m(h) be the third derivative of -109*h**6/200 + 98*h**5/5 - 8793*h**4/40 - 81*h**3/5 + 6542*h**2. Solve m(a) = 0.
-2/109, 9
Suppose 0 = 623*m - 609*m. Let t(c) be the second derivative of 0*c**3 + 1/21*c**7 + m - 43*c - 1/10*c**5 + 0*c**6 + 0*c**2 + 0*c**4. Factor t(k).
2*k**3*(k - 1)*(k + 1)
Let p be 30/6 - 8 - -8. Find h, given that -15*h**3 + 24*h**4 + 24*h**p - 17*h**3 + 30*h**5 - 58*h**5 = 0.
0, 2, 4
Let a be 5/4*(-94)/(-20) + 1397 + -1402. Let v(g) be the first derivative of -3/4*g + 1/4*g**3 - a*g**2 - 20 + 7/16*g**4. Solve v(p) = 0 for p.
-1, -3/7, 1
Let g(z) be the second derivative of -45*z - 1/12*z**4 + 0 - 1/3*z**3 + 0*z**2 + 1/20*z**5. Factor g(j).
j*(j - 2)*(j + 1)
Let h(l) be the first derivative of -l**6/60 + 23*l**5/60 + 2*l**4/3 - 49*l**3 - 198. Let t(a) be the third derivative of h(a). Solve t(u) = 0.
-1/3, 8
Determine b, given that 1116/5*b**2 + 32/5*b**3 - 4*b**4 - 448/5 - 136*b = 0.
-7, -2/5, 1, 8
Factor 2/15*u**2 + 42/5 + 16/5*u.
2*(u + 3)*(u + 21)/15
Let o be (1014/104)/(1/((-8)/3)). Let h be 3 + -2 + o/6 + 5. Factor 0 + 0*v**2 - 45*v + 30*v**3 + h*v**5 - 40/3*v**4.
5*v*(v - 3)**3*(v + 1)/3
Let g(b) = -18*b**3 - 1758*b**2 - 51849*b + 10446. Let l(u) = 53*u**3 + 5277*u**2 + 155551*u - 31337. Let d(y) = 8*g(y) + 3*l(y). Find f, given that d(f) = 0.
-59, 1