hat w(h) = 0.
-1, 0, 1
Let j = -18066 + 54199/3. Let p be (-4)/10 + 44/60. Factor 0 + l**4 - l**3 + 0*l + p*l**2 - j*l**5.
-l**2*(l - 1)**3/3
Let n(l) be the second derivative of -2*l**6/105 - 41*l**5/35 - 39*l**4/7 - 230*l**3/21 - 76*l**2/7 - 271*l + 2. Find j, given that n(j) = 0.
-38, -1
Let p(m) be the first derivative of -5*m**6/3 - 26*m**5/5 + 3*m**4 + 48. Factor p(y).
-2*y**3*(y + 3)*(5*y - 2)
Suppose -5*a - 25 = 0, 1 + 11 = 2*s - 2*a. Suppose -2*m + 3*i = -1, 6 - s = m + 3*i. Factor -40 + 2*p**m + p + 42 + 3*p.
2*(p + 1)**2
Let n(v) be the first derivative of v**4/12 - v**2/2 + 2*v/3 + 705. Find y such that n(y) = 0.
-2, 1
Suppose 2*m = -3*m - 105. Let i be 1 + (-115)/(-35) + 6/m. Let 0 + 8/7*u + 26*u**3 - 21*u**i - 68/7*u**2 = 0. Calculate u.
0, 2/7, 2/3
Let n(l) = l**3 - 4*l**2 - 2. Let i(d) = -6*d**3 + 25*d**2 + 13. Let m(x) = -6*i(x) - 39*n(x). Let m(a) = 0. Calculate a.
0, 2
Suppose 0 = -2*n + 2 - 16. Let g(z) = 2*z**2 + 2*z. Let f(b) = 142*b - 71*b - 70*b + b**2. Let d(l) = n*f(l) + 5*g(l). Factor d(j).
3*j*(j + 1)
Let j(m) be the second derivative of m**4/6 + 3*m**3 + 20*m**2 + 82*m. Factor j(o).
2*(o + 4)*(o + 5)
Factor -3*i**5 - 17*i**4 + 6 - 12*i**3 + 5*i**4 + 672*i - i**2 - 657*i + 7*i**2.
-3*(i - 1)*(i + 1)**3*(i + 2)
Let v(h) be the second derivative of 0*h**2 - 1/12*h**4 - 1/6*h**3 + 0 - 22*h. Factor v(s).
-s*(s + 1)
Let y be 15/(-20) - 66/8. Let h be (-5)/10*4/y. Suppose -1/9*c + h*c**2 - 1/9*c**4 - 1/9 - 1/9*c**5 + 2/9*c**3 = 0. Calculate c.
-1, 1
Let j = 355 - 355. Let i(g) be the second derivative of 1/12*g**4 - 1/6*g**3 + 0 - 5*g + j*g**2. Let i(t) = 0. What is t?
0, 1
Let v(w) be the first derivative of w**4/10 + 8*w**3/3 + 117*w**2/5 + 324*w/5 - 257. Factor v(b).
2*(b + 2)*(b + 9)**2/5
Suppose 784/11 + 326/11*h**4 - 12/11*h**5 + 1064/11*h - 2066/11*h**3 - 2124/11*h**2 = 0. What is h?
-1, -1/2, 2/3, 14
Let z(a) be the first derivative of a**3/21 + 17*a**2/14 + 60*a/7 + 391. Factor z(p).
(p + 5)*(p + 12)/7
Suppose 20 = 26*b - 58. Let u(x) = 3*x - 4. Let g be u(4). Find r, given that -8*r**3 - 2*r - 16*r**2 + 6*r**b + 10*r - g*r**3 = 0.
-2, 0, 2/5
Let a(b) be the second derivative of b**7/357 - 7*b**6/255 + 9*b**5/85 - 10*b**4/51 + 8*b**3/51 + 23*b + 4. Solve a(c) = 0.
0, 1, 2
Let y(w) be the third derivative of w**8/1120 - w**7/280 + w**5/40 - w**4/16 + 11*w**3/6 - 10*w**2. Let z(d) be the first derivative of y(d). Factor z(r).
3*(r - 1)**3*(r + 1)/2
Suppose -3*h + 6 = -6. Suppose 5*r + 3*q = 19, 2*r + 19 = h*r + 5*q. Find a, given that 3*a - 3/2*a**r + 0 = 0.
0, 2
Let t(n) be the second derivative of -5*n + 0 - 9/16*n**2 + 5/96*n**4 + 1/160*n**5 + 1/16*n**3. Solve t(a) = 0 for a.
-3, 1
Let h(y) be the third derivative of -y**7/490 + y**6/35 - 13*y**5/140 + 3*y**4/28 + 7*y**2 - 1. Factor h(i).
-3*i*(i - 6)*(i - 1)**2/7
Let l be ((-1)/(-2) - 15/6) + 4. Factor -81 - 27*t - 12*t + 21*t - t**l.
-(t + 9)**2
Suppose -4 = -0*g - 2*g. Suppose -g*s = -3*s. Factor 2/5*y - 1/5*y**3 + s + 1/5*y**2.
-y*(y - 2)*(y + 1)/5
Let h(a) = -a**3 + 74*a**2 + 151*a + 76. Let q be h(76). Factor q*o - 2/7*o**2 + 0.
-2*o**2/7
Suppose 16*o = -7*o. Let s(u) be the third derivative of -1/165*u**5 + 0*u**4 + 0 + o*u**6 + 6*u**2 + 1/1155*u**7 + 0*u + 1/33*u**3. Factor s(r).
2*(r - 1)**2*(r + 1)**2/11
Let l = -3 + 13. Let z(v) = v**2 - 11*v + 13. Let h be z(l). Factor -4 + 4*y**h + 4*y + 5*y - 21*y - 4.
4*(y - 2)*(y + 1)**2
Let v(q) be the third derivative of q**8/8960 + q**4/12 - 5*q**2. Let u(y) be the second derivative of v(y). Solve u(a) = 0 for a.
0
Let p = -86812/5 + 17363. Determine h, given that -1/5*h**2 - 2/5 - p*h = 0.
-2, -1
Let v = 7 - -9. Let t = -64 + 67. Suppose -44*j + v - 2*j**4 - 4*j**3 + j**4 - t*j**4 + 36*j**2 = 0. What is j?
-4, 1
Factor -25/3*l**5 + 2*l**3 + 0 + 0*l**2 + 19/3*l**4 + 0*l.
-l**3*(l - 1)*(25*l + 6)/3
Let n(o) = o**4 - o**3 - o**2 - 1. Let z(s) = 3*s**5 - 10*s**4 - 11*s**3 + 34*s**2 + 12*s - 20. Let f(l) = -4*n(l) - z(l). Solve f(x) = 0.
-2, -1, 1, 2
Let m = -33455/8 + 4182. Factor 0*a**2 - m*a**3 + 3/8*a - 1/4.
-(a - 1)**2*(a + 2)/8
Let n(l) be the third derivative of -l**7/315 + l**5/30 - l**4/18 - 82*l**2. Let n(s) = 0. Calculate s.
-2, 0, 1
Let -109/6 + 1/6*j**2 - 18*j = 0. Calculate j.
-1, 109
Let s(z) be the first derivative of 0*z - 3/10*z**2 - 2 + 1/5*z**3 - 3/25*z**5 + 3/20*z**4. Suppose s(x) = 0. Calculate x.
-1, 0, 1
Let r = 57 - 37. Let z be (r/(-55))/(42/(-77)). Factor -4/3 - z*y**2 + 2*y.
-2*(y - 2)*(y - 1)/3
Factor -m**5 + 4*m**5 + 123*m**4 + 24*m + 52*m**2 + 4*m**5 - 58*m**3 - 4*m**5 - 116*m**4.
m*(m - 2)**2*(m + 6)*(3*m + 1)
Let a(r) be the first derivative of 2*r**3/33 + 2*r**2/11 - 90. Factor a(d).
2*d*(d + 2)/11
Suppose 2*k + k + 24 = 0. Let o(j) = j**2 + 9*j + 10. Let q be o(k). Find a such that 20*a + 2*a**3 - 6*a**3 + 4*a**2 + q - 13*a = 0.
-1/2, 2
Suppose 5*p - 2*p = 18. Suppose 0 = 4*y - 14 + p. Determine j, given that 1/3*j**2 + y*j + 3 = 0.
-3
Let v(f) = f**3 + 19*f**2 - f + 5. Let q(d) = -3*d**2 - 1. Let t(p) = 6*q(p) + v(p). Factor t(k).
(k - 1)*(k + 1)**2
Let t(q) be the second derivative of 1/30*q**5 + 0*q**2 + 1 - 1/189*q**7 + 3*q + 5/54*q**4 - 1/135*q**6 + 2/27*q**3. Determine f so that t(f) = 0.
-1, 0, 2
Let j(g) = -2*g**2 + 2*g - 4. Let t(v) = -3*v**2 - 1122*v + 63829. Let n(s) = -4*j(s) + t(s). What is w in n(w) = 0?
113
Let x(d) = -d**3 + 5*d**2 + d - 4. Let m be x(5). Let n be (-4 + 3)/(m/(-4)). What is j in -4*j**2 - 16*j**3 + n*j**4 + 2*j - 2*j**5 + 16*j**3 = 0?
-1, 0, 1
Let f(x) = x**4 + x**2 + x. Let m(h) = -7*h**4 + 4*h**3 + 11*h**2 + 7*h - 41. Let l(r) = 5*f(r) + m(r). Let y(s) be the first derivative of l(s). Factor y(z).
-4*(z - 3)*(z + 1)*(2*z + 1)
Let l(z) be the second derivative of -z**4/2 + 13*z**3/3 + 10*z**2 + 40*z. Let l(c) = 0. Calculate c.
-2/3, 5
Suppose -4*k + 10 = -3*k - 3*q, 0 = -3*k + 5*q + 22. Determine u, given that 4/13 + 14/13*u**k - 46/13*u**3 + 54/13*u**2 - 2*u = 0.
2/7, 1
Let s = -2907 + 20365/7. Factor 60/7*o**2 + 18/7*o**3 + s + 8*o.
2*(o + 2)*(3*o + 2)**2/7
Let z(s) be the second derivative of -s**6/10 + 3*s**5/5 + 3*s**4 + 6*s - 2. Solve z(b) = 0 for b.
-2, 0, 6
Let x(i) be the second derivative of -i**6/135 + i**5/90 + i**4/54 - i**3/27 + i. Let x(f) = 0. What is f?
-1, 0, 1
Let 30*v - 791 + 3*v**2 + 791 = 0. What is v?
-10, 0
Let u(n) be the first derivative of 25/3*n**3 + 20*n + 21 - 5/4*n**4 - 20*n**2. Factor u(z).
-5*(z - 2)**2*(z - 1)
Let o(j) be the third derivative of j**6/480 + j**5/48 - 19*j**4/32 + 33*j**3/8 + 2*j**2 + 44. Factor o(s).
(s - 3)**2*(s + 11)/4
Suppose 12*b = 8*b + 160. Let i be (20/b)/((-1)/(-10)). Solve 4*d**5 - i*d**3 - 8*d**4 - 4*d + d - 13*d + 32*d**2 - 7*d**3 = 0.
-2, 0, 1, 2
Suppose -4*s - 2 = 2*h - 7*h, 3*s + 5*h - 16 = 0. Let n be 1/(s/(-14)*(-56)/16). Factor 4/11*x**3 + 0 - 2/11*x**4 - 2/11*x**n + 0*x.
-2*x**2*(x - 1)**2/11
Find c, given that -95/2*c**3 + 0*c + 0 + 5/4*c**4 + 1805/4*c**2 = 0.
0, 19
Let p(j) = -j**2 + 5*j - 1. Let s be p(7). Let a = s + 20. What is v in -3*v**4 + v**3 - 2*v**3 + v**a - v**4 + 3*v**4 + v**2 = 0?
-1, 0, 1
Let i(k) be the second derivative of -1/3*k**2 + 0 - 1/18*k**4 + 2/9*k**3 - 7*k. Solve i(l) = 0 for l.
1
Let z(w) be the first derivative of 0*w + 0*w**2 + 0*w**3 + 1 + 2/5*w**5 + w**4. Factor z(p).
2*p**3*(p + 2)
Let g(m) be the third derivative of -m**5/225 + 7*m**4/60 + 11*m**3/45 + 14*m**2. Determine z so that g(z) = 0.
-1/2, 11
Factor -93*p + 2 - 9 + 15*p**4 - 189*p**2 + 6*p - 69*p - 54*p**3 - 29.
3*(p - 6)*(p + 1)**2*(5*p + 2)
Let h(k) be the first derivative of 1/9*k**3 - 1/3*k**2 + 1/3*k + 10. Determine b, given that h(b) = 0.
1
Let j be (-9)/(-1) + 2*-3. Suppose 0 = 4*y + s + 4*s - 36, -j*s - 4 = -4*y. Factor 0 + 1/3*d**5 + 1/3*d**y + 2/3*d - d**3 - 1/3*d**2.
d*(d - 1)**2*(d + 1)*(d + 2)/3
Let a = 22 + -24. Let c be (-584)/12*a*(-2)/(-8). Suppose -176/3*o**4 - 1/3 - 14/3*o - 64/3*o**5 - c*o**2 - 172/3*o**3 = 0. What is o?
-1, -1/4
Let x(w) = w**4 - w**2 + 1. Let p = 22 - 21. Let v be (-2 - (0 - 3))*p. Let r(n) = -9*n**4 - 12*n**3 + 5*n**2 - 5. Let s(d) = v*r(d) + 5*x(d). Factor s(j).
-4*j**3*(j + 3)
Factor -8 - 73/3*b - b**2.
-(b + 24)*(3*b + 1)/3
Let n(h) be the third derivative of h**6/480 - 7*h**5/240 - h**4/12 - 48*h**2. Factor n(v).
v*(v - 8)*(v + 1)/4
Let m b