0*c**2. Let g(n) be the first derivative of u(n). What is b in g(b) = 0?
0
Let l = -122926/4433 + 305/11. Let t = 809/1209 + l. Factor 0 + 2*h**2 + 4/3*h + t*h**3.
2*h*(h + 1)*(h + 2)/3
Let m(s) = 23*s**4 - 210*s**3 + 983*s**2 - 1508*s. Let x(y) = 8*y**4 - 70*y**3 + 328*y**2 - 503*y. Let h(j) = 3*m(j) - 8*x(j). Solve h(p) = 0.
0, 4, 5
Factor 1/2*g - 1/2*g**2 + 6.
-(g - 4)*(g + 3)/2
Suppose -79/3*i + i**3 - 56/3*i**2 - 20/3 = 0. Calculate i.
-1, -1/3, 20
Let i(l) = -32 + l**4 + 0*l**4 + 31 - l**3. Let f(b) = b**5 - 7*b**4 + 6*b**3 + 4. Let o(n) = -5*f(n) - 20*i(n). Solve o(h) = 0 for h.
0, 1, 2
Let d = 17 + -17. Let a(m) be the second derivative of 0*m**4 + d*m**6 - 1/10*m**5 + 0 + 0*m**2 + 0*m**3 + m + 1/21*m**7. Factor a(q).
2*q**3*(q - 1)*(q + 1)
Determine k so that 17*k**3 + 5*k**4 + 0*k**2 + 11*k**3 + 24*k**3 - 12*k**3 + 35*k**2 = 0.
-7, -1, 0
Let w(c) be the second derivative of -1/6*c**4 + 3/70*c**5 - 1/7*c**2 + 5/21*c**3 + 0 + 9*c. Suppose w(j) = 0. Calculate j.
1/3, 1
Let l(z) = 547*z + 2738. Let n be l(-5). Factor -2/7*d**n - 4/7*d + 0 + 6/7*d**2.
-2*d*(d - 2)*(d - 1)/7
Suppose -3*t + 41 = -25. Suppose -3*h + t = -8. Determine i, given that 22*i**3 - h*i**3 + 63*i + 27 + 49*i**2 - i**2 = 0.
-3/2, -1
Factor -85*z**2 - 90 + 92*z**2 + 325*z + 25*z**3 - 101*z**2 - 50*z**2 - 116*z**2.
5*(z - 9)*(z - 1)*(5*z - 2)
Let x(p) be the second derivative of p**6/1260 - p**5/84 + p**4/14 + 8*p**3/3 - 19*p. Let b(s) be the second derivative of x(s). Determine r so that b(r) = 0.
2, 3
Let o(k) be the third derivative of -k**8/448 + 5*k**7/28 - 673*k**6/160 + 15*k**5 - 18*k**4 - 34*k**2 + 5*k. Determine j so that o(j) = 0.
0, 1, 24
Suppose -j + 4 = -4. Let w = 10 - j. What is z in -z**4 + 0*z**2 + 2*z**w + 3*z**2 + 2*z**3 - 6*z**2 = 0?
0, 1
Let -17/3 + 6*d - 1/3*d**2 = 0. Calculate d.
1, 17
Let x(s) = -4*s + 37. Let i be x(8). Find m such that -39*m - 27*m**4 + 3*m**2 + 19 - 21*m + 3*m**2 + 63*m**3 + i = 0.
-1, 2/3, 2
Let s(q) be the second derivative of -q**4/2 - 142*q**3/9 + 32*q**2/3 + 2*q + 4. Determine v so that s(v) = 0.
-16, 2/9
Let g(t) be the third derivative of -t**6/480 + t**5/30 + t**4/96 - t**3/3 + 196*t**2. Factor g(r).
-(r - 8)*(r - 1)*(r + 1)/4
Suppose -5*d - 28 + 83 = 0. Suppose -d*m + 12*m - 2 = 0. Factor -2/5*b + 0 - 2/5*b**m.
-2*b*(b + 1)/5
Let k = -5 - -5. Suppose k*x - 1 = x. Let d(a) = -a**3 + a**2 - 1. Let f(v) = 8*v**3 - 29*v**2 + 15*v + 2. Let l(c) = x*f(c) + 4*d(c). Factor l(j).
-3*(j - 2)*(j - 1)*(4*j + 1)
Let y = -43823 - -306773/7. Find q such that -8/7*q - y + 40/7*q**2 + 48/7*q**3 + 4/7*q**4 - 8/7*q**5 = 0.
-1, 1/2, 3
Let b(o) be the third derivative of o**6/180 + o**5/90 - 4*o**4/9 + 20*o**3/9 - 106*o**2 + 2. Factor b(i).
2*(i - 2)**2*(i + 5)/3
Suppose 44*l - 216 = 17*l. Let z(o) be the second derivative of 4*o**2 - l*o**3 + 7/2*o**4 + 49/10*o**5 + 7*o + 0. What is t in z(t) = 0?
-1, 2/7
Let h(t) be the first derivative of -7 + 0*t**2 - 1/15*t**3 + 4/5*t. Solve h(w) = 0 for w.
-2, 2
Let q = 63 - 57. Let -q*o - 8*o**3 + 4*o**3 + 2*o**3 + 10*o**2 - 2*o**4 = 0. What is o?
-3, 0, 1
Suppose 696*b = 674*b. Factor b*j**2 + 0*j**4 - 1/3*j**5 + 0*j + 0 + 1/3*j**3.
-j**3*(j - 1)*(j + 1)/3
Let o(l) be the second derivative of 2*l**6/45 + 7*l**5/15 + 4*l**4/3 - 8*l**3/9 - 32*l**2/3 + 41*l. Find y such that o(y) = 0.
-4, -2, 1
Let 54/5*i - 2/5*i**5 + 54/5 + 14/5*i**4 - 36/5*i**2 - 4*i**3 = 0. Calculate i.
-1, 3
Factor 1/2*k**2 - 1/2*k**4 + 1/2*k**5 - 1/2*k**3 + 0*k + 0.
k**2*(k - 1)**2*(k + 1)/2
Let q be 2/12*(9 - (-3 + 8)). Let g(j) be the first derivative of q*j**3 - 5/4*j**2 + 2 + j - 1/8*j**4. Factor g(o).
-(o - 2)*(o - 1)**2/2
Let q(m) be the first derivative of 2*m**5/15 - 5*m**4/3 + 58*m**3/9 - 32*m**2/3 + 8*m + 94. Factor q(s).
2*(s - 6)*(s - 2)*(s - 1)**2/3
Let g(x) be the second derivative of 1/20*x**5 - 1/3*x**3 + 6*x + 0*x**2 - 1/12*x**4 + 0. What is i in g(i) = 0?
-1, 0, 2
Let i(n) be the third derivative of -n**7/70 + n**6/4 + 37*n**5/20 + 13*n**4/4 + 156*n**2. Factor i(d).
-3*d*(d - 13)*(d + 1)*(d + 2)
Suppose -5*j + 18 = 4*j. Find l, given that -j*l**5 + 0*l**4 + 2*l**5 - l**4 + l**5 = 0.
0, 1
Let o = -21892 - -21892. Factor 2/3*k**2 + o - 10/3*k.
2*k*(k - 5)/3
Let s(x) be the second derivative of -1/5*x**5 - 14*x + 2/9*x**4 - 16/3*x**2 + 0 + 8/3*x**3. Factor s(l).
-4*(l - 2)*(l + 2)*(3*l - 2)/3
Let s(u) = 4*u - 9. Let d be s(3). Suppose 0 = -4*o - d*c + 10 - 8, 0 = o - 3*c - 8. Factor 1/4*t**3 - 1/2*t**o - 1/4*t + 1/2.
(t - 2)*(t - 1)*(t + 1)/4
Suppose 0 = -11*g - 11 + 44. Let h be 68/12 - g - (1 + 1). Determine m so that 8/3 + h*m**2 - 8/3*m = 0.
2
Let p be ((-183)/610)/((-3)/4). Let i(z) be the first derivative of p*z**2 - 3 - 2/15*z**3 - 2/5*z. Factor i(c).
-2*(c - 1)**2/5
Let b(k) = -k - 3. Let c be b(-5). Determine s, given that 5*s**c - 8*s**4 + 14*s**3 + s**2 - 2*s**2 = 0.
-1/4, 0, 2
Suppose h - 1 = q, -2109*q + 2106*q - h = -21. Suppose 0 - 14/5*l**4 + 4/5*l + 14/5*l**2 - 6/5*l**q + 2/5*l**3 = 0. Calculate l.
-2, -1, -1/3, 0, 1
Let j be (-1)/(6/8)*(-1253)/2506. Suppose 0 + j*t**3 - 2/3*t + 0*t**2 = 0. What is t?
-1, 0, 1
Factor 8320*v - 3*v**4 - 4225 - 1930*v**2 - 123*v**3 - 2036*v**2 + 2*v**4 - 5*v**3.
-(v - 1)**2*(v + 65)**2
Suppose 66*s - 32*s - 102 = 0. Let y(m) be the first derivative of 0*m**4 + 0*m + 9 + 1/54*m**6 + 2/45*m**5 + 0*m**2 + 0*m**s. Solve y(b) = 0 for b.
-2, 0
Let s(u) be the first derivative of u**5/25 - 11*u**4/20 - 73*u**3/15 - 109*u**2/10 - 48*u/5 + 622. Factor s(o).
(o - 16)*(o + 1)**2*(o + 3)/5
Let q(l) = -l**4 - 13*l**3 - 3*l**2 + 13*l - 5. Suppose 0 = -2*v - 6*v - 144. Let s(r) = r**3 - r + 1. Let o(k) = v*s(k) - 2*q(k). Factor o(g).
2*(g - 1)*(g + 1)*(g + 2)**2
Suppose 325 = -i + 2*l, 2*l = -5*i - 0*l - 1637. Let w = i + 3601/11. Suppose -2/11 + 8/11*t**3 - 8/11*t - w*t**2 + 6/11*t**4 = 0. Calculate t.
-1, -1/3, 1
Let v(o) be the first derivative of o**3/6 - 35*o**2/2 - 71*o/2 - 245. Solve v(s) = 0.
-1, 71
Let z = -850 - -853. Suppose -5*g**z + 0 + 0*g + 0*g**2 + 5/2*g**4 = 0. Calculate g.
0, 2
Suppose 336 = 36*n + 48*n. Let g(q) be the first derivative of -25/8*q**6 + 0*q + 0*q**3 - 3*q**5 + 12 + 0*q**2 - 3/4*q**n. Let g(k) = 0. What is k?
-2/5, 0
Solve -12*v**2 - 15*v**3 + 3*v + 35*v**3 + 5*v - 16*v**3 = 0.
0, 1, 2
Factor -12*t - 24 - 3/2*t**2.
-3*(t + 4)**2/2
Suppose -b = -2*b - 2*j + 14, -3*b = 3*j - 30. Let g be b/(-10) - (-8)/10. Factor 6/5*x**3 + g*x**4 + 4/5 + 13/5*x**2 + 12/5*x.
(x + 1)**2*(x + 2)**2/5
Suppose 4*k = 8*k. Let v = k + 25. Factor -3*t**3 + 13*t + 5*t**2 - v - t**2 + 31.
-(t - 3)*(t + 1)*(3*t + 2)
Let t(l) be the first derivative of 0*l - 1/60*l**5 - 1/12*l**4 + 9 - l**2 + 0*l**3. Let y(q) be the second derivative of t(q). Factor y(g).
-g*(g + 2)
Let r = 258 - 255. Let d(l) be the third derivative of -2/21*l**r + 0*l + 1/105*l**5 - 3*l**2 + 0 - 1/210*l**6 + 1/42*l**4. Determine h so that d(h) = 0.
-1, 1
Let f(c) be the first derivative of -c**8/10080 - c**7/2520 - c**6/2160 - 7*c**3/3 + 4. Let i(b) be the third derivative of f(b). Factor i(q).
-q**2*(q + 1)**2/6
Let d(t) be the first derivative of -4*t**3/45 + 401*t**2/15 - 80*t/3 - 492. Factor d(w).
-2*(w - 200)*(2*w - 1)/15
Let h(p) be the third derivative of -p**7/280 - p**6/32 + 11*p**5/10 - 13*p**4/2 - 2*p**2 - 100*p. Factor h(u).
-3*u*(u - 4)**2*(u + 13)/4
Let y(i) = -43*i**2 + 10*i + 26. Let d(a) = -21*a**2 + 5*a + 12. Let n(q) = 13*d(q) - 6*y(q). Factor n(m).
-5*m*(3*m - 1)
Let n(j) be the first derivative of 15*j**4 + 11 - 14*j**4 - 9*j**2 + 7*j**2. Factor n(a).
4*a*(a - 1)*(a + 1)
Let q(k) be the third derivative of k**7/210 - k**6/30 + k**5/20 - 169*k**2. Find c such that q(c) = 0.
0, 1, 3
Let o(j) = 42*j**3 - 1000*j**2 - 812*j + 236. Let m(i) = 43*i**3 - 1000*i**2 - 813*i + 234. Let h(q) = -3*m(q) + 2*o(q). Factor h(y).
-5*(y - 23)*(y + 1)*(9*y - 2)
Let n(k) be the first derivative of -2*k**3/3 - 66*k**2 - 2178*k - 60. Find u such that n(u) = 0.
-33
Let d(i) be the third derivative of i**6/120 + 2*i**5/15 + 11*i**4/24 - 10*i**3/3 - 2*i**2 + 206*i. Solve d(u) = 0.
-5, -4, 1
Let h(m) be the first derivative of 2*m**3/57 + 14*m**2/19 + 80*m/19 + 525. Determine r, given that h(r) = 0.
-10, -4
Let s = 46543/8 - 5817. Determine p, given that 15/8*p - s*p**2 + 1/8*p**3 - 9/8 = 0.
1, 3
Determine i, g