 + 2*c**2 + 3333. Factor s(p).
-5*p*(p + 73)
Let b(t) = 398*t**3 + 5730*t**2 + 62312*t + 139384. Let p(h) = -255*h**3 - 3820*h**2 - 41541*h - 92923. Let o(r) = 5*b(r) + 8*p(r). Factor o(x).
-2*(x + 3)*(5*x + 88)**2
Suppose 7 = -t + 5*k + 1, 5*t - 3*k = 14. Solve 7*o**t + 720 - 5*o**3 + 0*o**3 + 480*o - 35*o**3 - 40*o**2 - 2*o**4 = 0.
-2, 6
Let x(y) be the second derivative of y**4/36 + 19*y**3/18 + 14*y**2 + 2*y - 373. Factor x(a).
(a + 7)*(a + 12)/3
Let w(r) be the second derivative of -r**6/255 + 31*r**5/170 + 65*r**4/102 + 11*r**3/17 + 60*r - 5. Suppose w(z) = 0. What is z?
-1, 0, 33
Suppose 24*f = -16405 + 16453. Factor 1/2*z**3 + 12150*z - 135*z**f - 364500.
(z - 90)**3/2
Let r = 305/1456 + 11/112. Let t(s) be the first derivative of -8/39*s**3 + 2/13*s**5 + 0*s**2 + 0*s + 1 - r*s**4. Solve t(k) = 0.
-2/5, 0, 2
Let o be 215/1075 + (-1)/(-3). Let s(c) be the second derivative of 30*c + 2/45*c**3 + 1/150*c**5 + 0 + o*c**2 - 1/18*c**4. Factor s(z).
2*(z - 4)*(z - 2)*(z + 1)/15
Factor 30/19*c + 2/19*c**2 - 32/19.
2*(c - 1)*(c + 16)/19
Let h(j) be the second derivative of -j**6/6 - 83*j**5/4 + 1425*j**4/2 - 8910*j**3 + 54540*j**2 - 1529*j. Solve h(r) = 0 for r.
-101, 6
Let f be 38 + -64 - 106/(-4). Factor -f*g + 0 - 1/4*g**2.
-g*(g + 2)/4
Factor -672/5 - 54/5*k**2 + 384/5*k.
-6*(k - 4)*(9*k - 28)/5
Let i(k) be the third derivative of -17*k**5/30 - 59*k**4/21 + 4*k**3/21 - 10*k**2 - 121*k + 1. Factor i(c).
-2*(c + 2)*(119*c - 2)/7
Let x(f) be the first derivative of f**3 - 66*f - 97/2*f**2 + 99. Solve x(l) = 0.
-2/3, 33
Let z(m) = 5*m**2 - 680*m - 2118. Let a(l) = 2*l**2 - 341*l - 1056. Let q(u) = 11*a(u) - 5*z(u). Factor q(g).
-3*(g + 3)*(g + 114)
Let s(q) be the second derivative of 7/6*q**3 + 3*q**2 + 2 - 44*q - 1/4*q**5 - 1/3*q**4. Determine g so that s(g) = 0.
-1, 6/5
Let y(i) = i**3 + 11*i**2 - 12*i + 2. Let c be y(-12). Find a such that 0*a - 35*a + a**c + 4*a**2 - 5*a = 0.
0, 8
Suppose 4*j - 26 = -j - u, 0 = -2*j - 3*u. What is a in -23*a**4 + 15*a**4 - 66*a + 6*a**4 - j*a**3 + 48*a**2 + 10*a = 0?
-7, 0, 2
Let y = 32270/3 + -10752. Let 0 + 1/3*g**2 - y*g = 0. What is g?
0, 14
Let m(o) be the first derivative of -1/30*o**6 - 1/10*o**2 + 8/15*o**3 - 14 - 4/5*o - 4/25*o**5 + 1/10*o**4. Suppose m(s) = 0. What is s?
-4, -1, 1
Let g = -8368/394365 - -2/1293. Let x = g + 994/915. Let 28/15*k + 2/15*k**3 - 14/15*k**2 - x = 0. What is k?
1, 2, 4
Suppose -93 = 13*n - 522. Let p be (-4)/12 - n/(-36)*2. Factor 6*a**2 + 0 - 2*a - 11/2*a**3 + p*a**4.
a*(a - 2)*(a - 1)*(3*a - 2)/2
Suppose -31*p - 200 = 19*p. Let t be p/(-1)*7/(-35)*-1. Factor 0 + 0*v + 2/5*v**2 - 1/2*v**4 - t*v**3.
-v**2*(v + 2)*(5*v - 2)/10
Suppose 120 = 20*a - 140. Suppose 3 = -a*j + 29. Solve -51/7*y + 9/7 + 2/7*y**3 - 13*y**4 + 82/7*y**j + 7*y**5 = 0.
-1, 3/7, 1
Let i = 22/67 + 24/335. Let b(h) = h**2 + h. Let a be b(0). Suppose -i*c**2 + 0 + a*c = 0. Calculate c.
0
Let u(g) be the second derivative of -14/45*g**6 + 0*g**3 + 2/63*g**7 + 16/9*g**4 + 40*g + 0*g**2 + 0 + 8/15*g**5. Solve u(f) = 0.
-1, 0, 4
Let x = -44 - -46. Let z be (x - 1) + 7 + -3. Factor 3*h**3 + 11*h**2 + z*h**3 - 3*h**3 - h**2.
5*h**2*(h + 2)
Let -6618*i**3 + 10*i**4 + 3*i**5 + 2*i**5 + 75*i - 4*i**2 + 6538*i**3 - 6*i**2 + 0*i**5 = 0. What is i?
-5, -1, 0, 1, 3
Let r be ((-7)/12*2)/(100618/(-21561)). Factor 3/4*j**3 - j**2 + 0 + 1/2*j**4 - r*j**5 - j.
-j*(j - 2)**2*(j + 1)**2/4
Let u(i) be the second derivative of -i**5/20 - i**4/3 - 2*i**3/3 - 2*i + 49. Let d be u(-2). Determine z, given that d*z**2 - 8/3*z + 0 + 2/3*z**3 = 0.
-2, 0, 2
Let c(x) = -12*x**3 - 6*x**2 + 10*x + 9. Let o be c(-1). Let -8/3*k**2 + 4/3*k**4 - 1/3*k - 1/3*k**o + 4/3 + 2/3*k**3 = 0. Calculate k.
-1, 1, 4
Factor -63/8*j + 31/4 + 1/8*j**2.
(j - 62)*(j - 1)/8
Let z(t) be the second derivative of -3*t**5/80 + 9*t**4/4 - 99*t**3/8 - 1195*t. Determine q, given that z(q) = 0.
0, 3, 33
Let q(o) be the second derivative of -o**7/14 + 33*o**5/10 + 6*o**4 - 45*o**3/2 + 2*o + 124. Solve q(r) = 0 for r.
-3, 0, 1, 5
Let d(h) be the first derivative of 2*h**5/15 - 9*h**4/2 - 58*h**3/3 - 89*h**2/3 - 20*h + 11923. What is u in d(u) = 0?
-1, 30
Let m(n) = 31*n - 249. Let y be m(8). Let z be y/21*3/(-1)*2. Factor 8/7 + 12/7*h**2 - 18/7*h - z*h**3.
-2*(h - 4)*(h - 1)**2/7
Let p(i) be the second derivative of -i**7/231 - 2*i**6/165 + i**5/55 + 2*i**4/33 - i**3/33 - 2*i**2/11 - 27*i - 19. What is w in p(w) = 0?
-2, -1, 1
Solve 37/3*z**4 + 1336/3*z**2 + 256/3*z + 418/3*z**3 - 2048/3 + 1/3*z**5 = 0 for z.
-16, -4, -2, 1
Let v be ((-144)/(-400))/(3/(-5))*(-70)/84. Find m such that -v*m**2 + 2*m**3 - 1/2*m**4 - 3*m + 0 = 0.
-1, 0, 2, 3
Let r be ((-78)/12 + 7)/((-2)/320). Let h be (r/42 + 2)/(2/28). Solve 2*i + 1/6*i**3 - i**2 - h = 0.
2
Let o be (-1 - (52 - 38))*3/(-15). Solve -2/3*p**5 + 10/3*p**o - 8/3*p - 2*p**4 + 2*p**2 + 0 = 0.
-4, -1, 0, 1
Let z(x) be the third derivative of x**8/112 - 17*x**7/5 + 1383*x**6/20 - 3078*x**5/5 + 24489*x**4/8 - 9153*x**3 + 4*x**2 + 1399. Find b such that z(b) = 0.
3, 226
Suppose -61*a + 58*a - 126 = 9*v, 2*v = -2*a - 28. Suppose 2/11*j**3 + 0*j - 2/11*j**2 + a - 2/11*j**5 + 2/11*j**4 = 0. What is j?
-1, 0, 1
Suppose 16*m = -54*m. Let k(h) be the second derivative of -5/6*h**4 + m*h**3 + 11*h + 5/42*h**7 + 0*h**2 + 0 + 5/4*h**5 - 2/3*h**6. Factor k(f).
5*f**2*(f - 2)*(f - 1)**2
Suppose 2*h - p = 0, -p = -291*h + 288*h + 2. Let n(t) be the first derivative of -8/7*t**h - 28 - 32/7*t - 2/21*t**3. Solve n(l) = 0 for l.
-4
Let n be (192/(-512)*-1)/(1/54). Determine r, given that -1/4*r**5 - 9/2*r**2 + 81/4 + 1/4*r**4 + 9/2*r**3 - n*r = 0.
-3, 1, 3
Let u(h) be the first derivative of h**3/2 - 63*h**2/4 + 162*h + 624. Factor u(b).
3*(b - 12)*(b - 9)/2
Factor 4/5*m**4 - 174/5*m**3 + 0*m - 88/5*m**2 + 0.
2*m**2*(m - 44)*(2*m + 1)/5
Let y(k) be the second derivative of -k**6/120 + k**5/5 - 25*k**4/16 + 9*k**3/2 - 2*k - 2066. Factor y(q).
-q*(q - 9)*(q - 4)*(q - 3)/4
Let -46/13*h**2 - 12/13*h**3 - 64/13 + 2/13*h**4 + 120/13*h = 0. What is h?
-4, 1, 8
Let m(p) be the third derivative of p**5/240 - 27*p**4/8 + 323*p**3/24 + 1110*p**2. Factor m(o).
(o - 323)*(o - 1)/4
Suppose -10*b + 2*r - 2 = 0, -b + 3*r - 252 + 221 = 0. Let 0*n**b - 2/3*n**3 + 0 + 0*n - 1/6*n**5 + 2/3*n**4 = 0. Calculate n.
0, 2
Let w(s) be the first derivative of s**6/72 + s**5/4 - 45*s**4/8 + 67*s**3/3 + 196. Let q(t) be the third derivative of w(t). Factor q(m).
5*(m - 3)*(m + 9)
Suppose 3*i = -4*a + 100, 5*a = -i + 21 + 5. Factor 2*v**3 + 5*v - 5*v - 16*v**2 + 42*v - i.
2*(v - 3)**2*(v - 2)
Factor 67/8*o + 1/8*o**2 - 259/4.
(o - 7)*(o + 74)/8
Suppose 2*a - 3*v - 51 = 0, -a = -2*v + 15 - 43. Let 2*c**5 - 38*c + a*c - 22*c**2 - 2*c**4 + 12*c - 18*c**3 = 0. What is c?
-1, 0, 4
Let k(z) be the third derivative of 0 - 2/33*z**3 + 1/44*z**4 - 1/330*z**5 - 7*z**2 - z. Factor k(s).
-2*(s - 2)*(s - 1)/11
Determine f, given that 58/3*f**2 + 0 - 28/3*f**4 + 0*f - 31/3*f**3 + 1/3*f**5 = 0.
-2, 0, 1, 29
Let p(c) be the first derivative of 12 - 3/5*c**5 + 0*c**3 + 0*c + 45/4*c**4 + 0*c**2. Factor p(l).
-3*l**3*(l - 15)
Let b(f) be the second derivative of -13/36*f**3 + 1/30*f**5 + 92*f + 0 - 1/3*f**2 + 13/72*f**4. Factor b(z).
(z - 1)*(z + 4)*(4*z + 1)/6
Let o = -14 - -30. Factor -o*g - 8 - 21*g**2 - 20*g + 8*g**3 - g**4 + 58*g.
-(g - 4)*(g - 2)*(g - 1)**2
Let y = 19373 - 12960541/669. Let z = y - -1366/4683. Factor 512/7 + 32/7*g**3 + 512/7*g + 192/7*g**2 + z*g**4.
2*(g + 4)**4/7
Let o be ((-4)/(-774))/(2/(42/301)). Let u = 5567/55470 - o. Factor 0*g**3 - u*g**5 + 0 + 3/10*g**4 + 0*g + 0*g**2.
-g**4*(g - 3)/10
Suppose 3*o + 2*l - 18 = 0, 7*l = 5*o + 4*l - 11. Suppose 2*u - 4*z - 19 = -21, o*z - 8 = 0. Factor 2/5*v**u - 7/5*v**2 + 1/5*v**4 + 0 + 4/5*v.
v*(v - 1)**2*(v + 4)/5
Let s(p) = 17*p**2 - 2030*p + 1030361. Let u(f) = 2*f**2 + 17. Let m(b) = 5*s(b) - 40*u(b). Factor m(t).
5*(t - 1015)**2
Suppose -z = -0*z - 74. Let u = z + -72. Solve -6*o + 3*o + 70*o**u - 15*o**3 - 15*o - 19*o**2 = 0.
0, 2/5, 3
Let -254*j + 95*j - 517*j + 117*j - 140 + 4*j**2 = 0. What is j?
-1/4, 140
Let d be (4 - (-108)/(-8))/((-1)/22). Determine b so that b**3 + 5*b**3 - 211*b**5 - 76*b**2 + 11*b + 31*b + 6*b + 24*b**4 + d*b**5 = 0.
-2, 0, 1, 12
Suppose 3*o + 1 = 4*r, 3*o + 5 = 2369*r - 2364*r. Suppo