 + 15/2*n**4. Factor t(j).
-3*j*(j - 2)*(5*j + 1)**2/4
Suppose 16*c**2 + 25675*c - 34*c**2 + 16*c**2 - 96 - 25713*c = 0. Calculate c.
-16, -3
Suppose 3*w = -9, 4*g = g - 2*w. Suppose 6*c**3 - 186*c**g - 192*c**2 + 419*c**2 - 7*c = 0. Calculate c.
-7, 0, 1/6
Let a(m) = -2*m**2 - 3*m - 3. Let u(t) = -10*t**2 - 174*t - 18. Let k(p) = 12*a(p) - 2*u(p). Solve k(y) = 0.
0, 78
Let h = 1/1371 - -609/457. Determine f, given that h*f - 2/3*f**2 + 0 = 0.
0, 2
Let s(c) be the first derivative of -c**6/21 + 4*c**5/35 + 3*c**4/2 - 44*c**3/21 - 40*c**2/7 + 11. Find z such that s(z) = 0.
-4, -1, 0, 2, 5
Let u(s) = -9*s + 3. Let z(n) = -n**3 + 3*n**2 - 26*n + 8. Let t(q) = -8*u(q) + 3*z(q). Solve t(h) = 0.
0, 1, 2
Let g(t) be the second derivative of -t**2 - 4/9*t**3 - 1/18*t**4 - 3*t - 5. Factor g(d).
-2*(d + 1)*(d + 3)/3
Let v(q) be the third derivative of q**8/336 - q**6/30 - 4184*q**2. Factor v(x).
x**3*(x - 2)*(x + 2)
Let b(v) be the first derivative of -10*v**6 + 328*v**5/5 - 374*v**4/3 + 160*v**3/3 + 22*v**2/3 - 8*v + 1014. Find p, given that b(p) = 0.
-1/5, 1/3, 2, 3
Let b(o) be the third derivative of -13/30*o**6 + 19/2*o**4 + o + 0 - 1/3*o**5 + 2/35*o**7 - 12*o**3 - 7*o**2. Let b(d) = 0. What is d?
-2, 1/3, 3
Let h(l) be the third derivative of -l**6/360 - l**5/180 + 17*l**4/72 - 5*l**3/6 + 285*l**2 - 3*l. Factor h(v).
-(v - 3)*(v - 1)*(v + 5)/3
Suppose 4*f - 11 = -5*b + 12, -5*b + 9 = -3*f. Factor 16*j - 20*j**4 - f - 16*j**3 - 18 + 16*j**4 + 24*j**2 + 0.
-4*(j - 1)**2*(j + 1)*(j + 5)
Let t(c) be the first derivative of c**4/8 + 11*c**3/2 + 15*c**2/2 - 32*c + 583. Factor t(r).
(r - 1)*(r + 2)*(r + 32)/2
Let x(k) = -6*k**3 - 64*k**2 - 2. Let w(n) = -26*n**3 - 263*n**2 - 9. Let t(a) = -4*w(a) + 18*x(a). Let t(h) = 0. Calculate h.
-25, 0
Let o be (-28)/49*-14 - (-1195)/(-150). Let i(z) be the third derivative of 0*z - o*z**4 + 0 - 3*z**2 - 1/150*z**6 + 2/75*z**5 + 0*z**3. Factor i(y).
-4*y*(y - 1)**2/5
Let v(g) be the third derivative of g**6/900 - g**5/75 - g**4/180 + 2*g**3/15 + 1001*g**2. Determine o so that v(o) = 0.
-1, 1, 6
Let f(y) = y**2 - 6*y - 5. Let s be f(7). Solve -21*g + g**2 - 17*g - s + 37*g = 0 for g.
-1, 2
Let p(u) be the first derivative of -12*u + 0*u**2 - 50 + 3*u**3 + 3/20*u**5 + 7/4*u**4. Let o(j) be the first derivative of p(j). Solve o(y) = 0.
-6, -1, 0
Let z be (12/22 + (-29 - 44330/(-1694)))*-7. Factor -z + 1/4*x**2 + 63/4*x.
(x - 1)*(x + 64)/4
Let i(s) be the third derivative of -s**6/60 + 5*s**5/6 - 53*s**4/6 + 40*s**3 + 1481*s**2. Determine c so that i(c) = 0.
2, 3, 20
Let s(c) = c**2 - c. Let p = 2 + 2. Suppose 0 = 5*g + 381 - 376. Let u(x) = -x**2 + 6*x. Let j(d) = g*u(d) + p*s(d). Factor j(o).
5*o*(o - 2)
Suppose 21 = 5*j + 4*v, -j + 5*v = 10*v. Factor 3*i**j + 0*i**4 - 3*i**3 + i**4 + 119*i**2 - 120*i**2.
i**2*(i - 1)*(i + 1)*(3*i + 1)
Let u(d) be the second derivative of 3/20*d**5 + 12*d**3 - 5/2*d**4 - 44*d + 0 + 0*d**2. Factor u(j).
3*j*(j - 6)*(j - 4)
Let z be (-4)/(-338) - 2877134/(-450385). Find j, given that -24/5*j**3 - z*j**2 + 0 - 4/5*j**4 + 0*j = 0.
-4, -2, 0
Let a(h) be the third derivative of 50*h**3 + 0*h + 37*h**2 + 0 + 1/20*h**5 + 5/2*h**4. Factor a(z).
3*(z + 10)**2
Let o be (-110)/10 + -1 + 9 + -12 + 18. Factor 0*t**2 + 4/3*t**o + 0*t - 38/15*t**4 + 0 - 4/15*t**5.
-2*t**3*(t + 10)*(2*t - 1)/15
Let m(v) be the second derivative of v**7/3360 + v**6/480 + v**5/160 + v**4/96 + 2*v**3 + 16*v + 1. Let z(s) be the second derivative of m(s). Factor z(t).
(t + 1)**3/4
Let k(b) = 7*b**2 + b + 7. Let s(z) = -96*z**2 + 115*z - 31. Let p(l) = -10*k(l) - 2*s(l). Factor p(y).
2*(y - 2)*(61*y + 2)
Let f(u) be the second derivative of -u**6/165 + u**5/10 + 9*u**4/22 - u**3/3 - 26*u**2/11 + 12*u - 37. Determine v so that f(v) = 0.
-2, -1, 1, 13
Find z, given that -11/6*z**3 + 0 - 1550/3*z + 260/3*z**2 - 1/6*z**4 = 0.
-31, 0, 10
Let w(s) = -39*s**2 - 10*s - 19. Let f be w(-3). Let z be 935/f + (-4)/((-4)/3). Find q, given that 0 - q**2 + 3/4*q + z*q**3 = 0.
0, 1, 3
Find p such that 77/2*p + 39/2*p**2 - 1 = 0.
-2, 1/39
Let z(x) be the first derivative of -15 - 9/2*x**3 + 12*x**2 + 32*x + 1/4*x**4. Let w(l) be the first derivative of z(l). Solve w(s) = 0 for s.
1, 8
Let l(t) be the second derivative of -t**6/10 - 27*t**5/20 - 7*t**4/2 + 7486*t. Factor l(f).
-3*f**2*(f + 2)*(f + 7)
Let i(w) = 718*w**2 - 1698*w + 1684. Let c(p) = -449*p**2 + 1132*p - 1123. Let m(x) = 8*c(x) + 5*i(x). Determine l, given that m(l) = 0.
1, 282
Let m(w) be the first derivative of -5/4*w**4 + 0*w**2 - 59 - 5/3*w**3 + 0*w. Factor m(q).
-5*q**2*(q + 1)
Let v(l) = l**3 + 4*l**2 + 3. Let z be v(-4). Let q(p) be the first derivative of -22 + 1/24*p**z + 0*p - 1/4*p**2. Factor q(s).
s*(s - 4)/8
Let x(f) = -f**3 - 5*f**2 - f - 11. Let q be x(-10). Let j = q + -249. Factor 150*r - 30*r**2 - j + 18*r**3 - 2*r**3 - 8*r**3 - 6*r**3.
2*(r - 5)**3
Let x = -125/41 - -4541/1476. Let q(z) be the third derivative of 1/12*z**3 - x*z**4 - 36*z**2 + 0 + 1/360*z**5 + 0*z. Find w such that q(w) = 0.
1, 3
Suppose 0 = -81*h + 14 + 4 - 18. Let d(s) be the second derivative of -1/4*s**4 - 3/80*s**5 + h + 0*s**2 - 18*s + 0*s**3. Factor d(a).
-3*a**2*(a + 4)/4
Let b(c) be the third derivative of -c**6/120 + 38*c**5/5 + 2*c**2 - 2*c + 1046. Determine k so that b(k) = 0.
0, 456
Let r(t) = t**3 + 7*t**2 + 103*t + 467. Let z be r(-5). Let o(j) be the first derivative of -1/12*j**3 + 14 - 4*j + j**z. Factor o(d).
-(d - 4)**2/4
Let c(p) be the second derivative of p**6/150 - p**5/5 + 13*p**4/10 + 22*p**3/3 + 121*p**2/10 + 772*p. Find g, given that c(g) = 0.
-1, 11
Suppose 0 = -4*h + 2*x + 560, 0 = h + 4*x - 81 - 59. Let p be 32/14 + 5/(h/(-8)). Solve -7/4*l - 2 + 1/4*l**p = 0.
-1, 8
Let v(l) be the first derivative of l**6 - 124*l**5/5 + 1189*l**4/6 - 3368*l**3/9 - 4060*l**2/3 - 3136*l/3 - 311. Find o such that v(o) = 0.
-2/3, 7, 8
Let a = -70 + 75. Factor 16*o**3 - 12*o + 2*o**5 - 49*o**2 - 4 + 12 + 41*o**2 - 6*o**a.
-4*(o - 1)**3*(o + 1)*(o + 2)
Let q(b) = 22638 - 11319 - 11318 + b + b**2. Let x(c) = -1 - 2 + 4*c**2 + 2*c + 4. Let r(t) = -6*q(t) + 2*x(t). Factor r(g).
2*(g - 2)*(g + 1)
Suppose -7*a + 2*a = -j + 315, 5*j - 1662 = -4*a. Let m be 121/j + 5/(225/6). Factor m*h**3 + 7/4*h**2 + 0 + h - 1/4*h**4.
-h*(h - 4)*(h + 1)**2/4
Let b(n) be the third derivative of -n**6/600 - 22*n**5/75 - 161*n**4/24 - 65*n**3 - 4519*n**2. Factor b(p).
-(p + 5)**2*(p + 78)/5
Let f(t) be the third derivative of t**8/112 + t**7/10 - t**6/40 - 7*t**5/20 + 12806*t**2. Let f(a) = 0. What is a?
-7, -1, 0, 1
Let w(f) be the second derivative of f**7/42 + 7*f**6/30 - 51*f**5/20 + 101*f**4/12 - 41*f**3/3 + 12*f**2 - 2083*f. Determine q, given that w(q) = 0.
-12, 1, 2
Let q(h) = -h**3 + 11*h**2 + 10*h + 32. Let k be q(12). Suppose 0 = -k*a + 47 - 31. Factor -5*b + 0 + 5/3*b**4 - 25/3*b**a - 5/3*b**3.
5*b*(b - 3)*(b + 1)**2/3
Let b = -401 + 403. Suppose -3*g - 2*o + 16 = b*g, -g - 3*o + 11 = 0. Determine q so that -2/3*q - q**g + 0 - 1/3*q**3 = 0.
-2, -1, 0
Let t be (-5 - (12 + -13))/(-2) - (-1 - (-21)/9). Factor -8/9 - t*w + 2/9*w**2.
2*(w - 4)*(w + 1)/9
Let n(v) be the third derivative of -v**5/60 - 7*v**4/24 + v**3/3 - 90*v**2. Let a be n(-7). Factor -1/3*h + 1/6*h**a + 1/6.
(h - 1)**2/6
Let o(r) = -10*r**2 - 162*r - 801. Let x(j) = -32*j**2 - 488*j - 2406. Let c(i) = -10*o(i) + 3*x(i). Factor c(k).
4*(k + 6)*(k + 33)
Let j = -1879 + 1883. Let c be (-25025)/(-5434) - j/38. Factor -3/4*a**4 + 9/4 + c*a**3 - 3/4*a**5 + 33/4*a + 21/2*a**2.
-3*(a - 3)*(a + 1)**4/4
Let j(a) be the third derivative of a**8/3192 - 4*a**7/665 + 11*a**6/285 - 7*a**5/57 + 17*a**4/76 - 14*a**3/57 + 35*a**2 - 10*a. Find o such that j(o) = 0.
1, 2, 7
Let q = 478 - 334. Suppose 36*b**3 + 24 + 3*b**4 - q*b + 80*b + 7*b**4 - 6*b**2 = 0. What is b?
-3, -2, 2/5, 1
Let g(l) be the first derivative of l**5/60 - l**4/2 - 13*l**3/6 - 111*l**2 + 27. Let m(p) be the second derivative of g(p). What is s in m(s) = 0?
-1, 13
Let o(v) = 461*v - 80202. Let t be o(174). Find h such that -t + 5/3*h + 1/3*h**2 = 0.
-9, 4
Let i(d) be the third derivative of -1/350*d**7 + 0 + 0*d**3 - 2*d**2 - 1/10*d**4 - 1/40*d**6 + 0*d - 2/25*d**5. Factor i(l).
-3*l*(l + 1)*(l + 2)**2/5
Suppose -48*p + 424*p + 309 = 793 + 1020. Find z such that 4/13*z**2 - 2/1