4. Solve i(g) = 0 for g.
0, 4
Let u be (-4)/(-26) - (-288)/832. Let u*t - 1/2*t**2 + 1 = 0. Calculate t.
-1, 2
Let z = 58 + -56. Let v(u) be the third derivative of 0*u**3 + 0*u + 0 + 1/30*u**4 - 1/50*u**5 + 1/300*u**6 - 2*u**z. Determine d so that v(d) = 0.
0, 1, 2
Let m(o) = -7*o**2 - 9*o + 4. Let i(b) = 20*b**2 + 27*b - 11. Suppose -7*n - 12 = -4*n. Let s(u) = n*i(u) - 11*m(u). Let s(z) = 0. What is z?
-3, 0
Factor -5*b**2 - 7 - 1 + 8008*b - 7986*b.
-(b - 4)*(5*b - 2)
Suppose -4*g = o + 5, -4*g - o - 5 = -6*g. Factor 0 - 2/7*l**2 + g*l + 2/7*l**3.
2*l**2*(l - 1)/7
Suppose -6*x + 3*v + 464 = -x, -v = 2*x - 190. Let c = 286/3 - x. Factor -2*j**2 + 0 - 1/3*j - 3*j**3 - c*j**4.
-j*(j + 1)**2*(4*j + 1)/3
Let v = -6 - -8. Suppose 5*h = v*h + 15. Solve -h*j**2 + 3*j - 3*j**2 + 5*j**2 - 3*j**3 + 3 = 0.
-1, 1
Suppose 1 = -g + 5, -5*g + 20 = -c. Suppose c = -5*v + 3*v. Factor 4/3*y + v + 10/3*y**3 + 14/3*y**2.
2*y*(y + 1)*(5*y + 2)/3
Let w(p) be the third derivative of p**6/30 + p**5/15 - p**4/3 + 57*p**2. Factor w(g).
4*g*(g - 1)*(g + 2)
Find k, given that -34/13*k**3 + 8/13 + 10/13*k**5 + 24/13*k - 2/13*k**2 - 6/13*k**4 = 0.
-1, -2/5, 1, 2
Let q(o) be the third derivative of -4*o**2 + 0*o**3 - 2/15*o**5 - 1/10*o**6 + 0*o**4 + 0 - 2/105*o**7 + 0*o. Factor q(j).
-4*j**2*(j + 1)*(j + 2)
Let o(j) be the first derivative of -j**4/18 + 3*j - 3. Let w(x) be the first derivative of o(x). Solve w(l) = 0.
0
Let n(u) be the third derivative of -u**8/560 + u**6/60 - u**4/8 + u**3/3 + 2*u**2. Let z(d) be the first derivative of n(d). Factor z(r).
-3*(r - 1)**2*(r + 1)**2
Let l(p) be the second derivative of -p**7/105 + p**6/25 - p**5/25 - p**4/15 + p**3/5 - p**2/5 - 13*p. Factor l(m).
-2*(m - 1)**4*(m + 1)/5
Find c such that 54/5*c - 6/5*c**3 + 24/5*c**2 - 3/5*c**4 + 27/5 = 0.
-3, -1, 3
Solve 1/5*g**2 + g + 6/5 = 0.
-3, -2
Let x(d) = -16*d**3 - 8*d**2. Let u(m) = m**4 - 17*m**3 - 8*m**2. Let w(y) = -4*u(y) + 5*x(y). Factor w(j).
-4*j**2*(j + 1)*(j + 2)
Let m(p) = p**2 - p - 3. Let i be m(2). Let v be (0/i - 1) + 1. Factor 0*h + 1/2*h**3 + v - 1/2*h**2.
h**2*(h - 1)/2
Let r(x) be the first derivative of -x**6/18 + 4*x**5/15 - x**4/2 + 4*x**3/9 - x**2/6 + 4. Determine m, given that r(m) = 0.
0, 1
Let i be (-105)/245*(7/(-3) + 1). Factor -4/7*q**2 + 2/7*q**3 + i - 2/7*q.
2*(q - 2)*(q - 1)*(q + 1)/7
Suppose 3/5*d**3 + 0*d + 1/5*d**5 + 0 - 1/5*d**2 - 3/5*d**4 = 0. What is d?
0, 1
Let l be (2 + -1)/((-3)/3). Let f be l*-2*(1 - 0). Determine j so that -2*j**3 + 0 + 0*j**2 + 2*j + 2 - f*j**2 = 0.
-1, 1
Let x(p) = -44*p - 5. Let r be x(-4). Let l = r - 1195/7. Find q, given that 2/7 + 2/7*q - l*q**3 - 2/7*q**2 = 0.
-1, 1
Suppose -22 = -4*k - 6. Let a(v) be the first derivative of 1/2*v**k + 4*v**2 - 3 + 0*v + 8/3*v**3. Let a(l) = 0. What is l?
-2, 0
Let r = -86 + 91. Let w(p) be the first derivative of 4/55*p**r - 1/11*p**2 + 1/22*p**4 - 2 - 2/11*p**3 + 2/11*p. Suppose w(h) = 0. Calculate h.
-1, 1/2, 1
Let a(u) = u**4 + u**2 + u. Let v(k) = 9*k**4 + 9*k**3 + 15*k**2 + 9*k. Let w(d) = -6*a(d) + v(d). Suppose w(t) = 0. What is t?
-1, 0
Factor 2 + 4*n**4 + 300*n**2 + 4*n**3 - 308*n**2 - 2.
4*n**2*(n - 1)*(n + 2)
Suppose -y = 5*d - 21, 2*d - 4*y = -0 + 4. Let v(a) = -a**2 - 6*a + 7. Let q be v(-7). Determine m, given that -1/4*m + q - 1/4*m**2 + 1/4*m**3 + 1/4*m**d = 0.
-1, 0, 1
Suppose -50 + 50 = -13*i. Factor 4/3*q**3 + 2/3*q**4 + i*q**2 - 2/3 - 4/3*q.
2*(q - 1)*(q + 1)**3/3
Let b(w) be the second derivative of -w**4/72 + 5*w**3/36 - w**2/3 - 6*w. Find k such that b(k) = 0.
1, 4
Let t(p) be the second derivative of 0*p**2 + 0 - 1/3*p**3 - 1/12*p**4 + 3*p. Solve t(x) = 0 for x.
-2, 0
Let y be ((-2)/(-6))/((-1)/(-15)). Suppose -2 = -s - s, 3*q - y*s = 4. Determine o so that o**2 - 3 + q - 1 = 0.
-1, 1
Let k = 277 - 177. Let l = -498/5 + k. Factor -l*p**3 + 1/5*p**4 + 2/5*p - 1/5*p**2 + 0.
p*(p - 2)*(p - 1)*(p + 1)/5
Let y(v) be the first derivative of -5*v**3/3 + 5*v - 1. Factor y(m).
-5*(m - 1)*(m + 1)
Let u(k) be the third derivative of 1/6*k**4 + 1/30*k**5 + 0 + 0*k**3 + k**2 + 0*k. Determine x so that u(x) = 0.
-2, 0
Let j(d) = d**3 - d**2 - 1. Let s(h) = 8*h**3 - 5*h**2 - 3*h - 5. Let p(a) = a + 9. Let y be p(-4). Let n(x) = y*j(x) - s(x). Find z such that n(z) = 0.
-1, 0, 1
Let g be 1*8*(-64)/(-448). Solve -2/7*q**2 - 8/7 + g*q = 0 for q.
2
Let o = -18107/6 - -2808223/930. Let m = -5/31 + o. Factor 2/5*b**2 - m*b + 8/5.
2*(b - 2)**2/5
Suppose 2*b + 2 = 3*b. Factor 0 + 3*h - 3 + 3*h**b - 3 + 0.
3*(h - 1)*(h + 2)
Let g(i) = -13*i**4 - 2*i**3 + 7*i**2 + 8*i - 8. Let t(l) = 25*l**4 + 5*l**3 - 15*l**2 - 15*l + 15. Let a(f) = -7*g(f) - 4*t(f). Factor a(p).
-(p + 1)**2*(3*p - 2)**2
Let t(c) be the first derivative of 1/5*c**3 + 0*c**2 + 0*c - 2 - 3/25*c**5 + 0*c**4. Let t(z) = 0. Calculate z.
-1, 0, 1
Suppose 0 = 4*m - 0*m. Find a, given that -5*a**5 + a**5 - 2*a**4 + a**3 - a**4 + m*a**5 = 0.
-1, 0, 1/4
Let h(u) = u - 7. Let s be h(11). Factor s + k + 2*k - 3*k**2 + 2.
-3*(k - 2)*(k + 1)
Let r(l) be the second derivative of -l**5/90 + l**4/36 + 4*l**2 - 5*l. Let d(v) be the first derivative of r(v). What is j in d(j) = 0?
0, 1
Let -2/5*x**3 + 2/5*x**5 + 0*x + 0*x**2 + 0 + 0*x**4 = 0. Calculate x.
-1, 0, 1
Suppose 12*b - 20 = 8*b. Factor -5*i**b + 8*i**2 - 12*i**4 + 8*i**3 + 5 - 1 - 12*i + 3*i**5 + 6*i**5.
4*(i - 1)**4*(i + 1)
Let u = -70 - -122. Find s, given that -28*s**3 - 13 + 0*s**4 - 3 - 4*s**4 - 56*s**2 - u*s - 4*s**2 = 0.
-4, -1
Let k be 4/(-48)*-2 - (-28)/120. Find o, given that -1/5*o**3 - 1/5*o**2 + 0 + k*o = 0.
-2, 0, 1
Suppose 0 = -4*a + 4, -5*g + 4*a = 3*a - 9. Suppose 0 = y - g*y + 2. What is d in -1/2*d**y + 0 + 0*d + 1/2*d**4 - 1/2*d**3 + 1/2*d**5 = 0?
-1, 0, 1
Let f(q) be the second derivative of 9/2*q**2 + 6*q + 5/2*q**3 + 1/4*q**4 - 3/20*q**5 + 0. Let f(l) = 0. Calculate l.
-1, 3
Let -11*m**3 - 15*m**4 - 15*m**4 - 4*m**3 - 9*m + 21*m**2 + 33*m**4 = 0. What is m?
0, 1, 3
Suppose -k - 4 = 3*u, -1 - 13 = -2*k + 5*u. Let 0 + 0*b - 2/5*b**k = 0. What is b?
0
Let -4/3*o**3 + 0*o + 2/3*o**4 + 0 + 2/3*o**2 = 0. What is o?
0, 1
Suppose -5*k = -5*z - 12 + 32, 0 = -k - z + 4. Let h(t) be the second derivative of -1/4*t**4 + 0*t**3 + k + 0*t**2 - 2*t. What is g in h(g) = 0?
0
Let x(f) be the first derivative of -f**7/280 + 4*f**3/3 - 3. Let u(o) be the third derivative of x(o). Let u(c) = 0. What is c?
0
Let z = 134 + -265/2. What is u in z*u + 3 - 3/2*u**2 = 0?
-1, 2
Suppose 0*f + 0 - f**3 - 1/3*f**5 + f**4 + 1/3*f**2 = 0. Calculate f.
0, 1
Suppose -5*g + g + 2040 = 0. Let l = 2558/5 - g. Factor 8/5 + 2/5*v**2 - l*v.
2*(v - 2)**2/5
Let a be 1 + -3 - (3 - (-33)/(-6)). Factor 0*r - a*r**3 + 0*r**2 + 0.
-r**3/2
Factor 2*o**4 + 5 - 8 - 5*o**4 + 0*o**4 + 3*o + 6*o**2 + 3*o**5 - 6*o**3.
3*(o - 1)**3*(o + 1)**2
Let j(o) be the second derivative of -o**4/15 + 4*o**3/15 + 6*o**2/5 - 13*o. Solve j(f) = 0.
-1, 3
Let x(l) be the second derivative of -33/10*l**6 + 3*l + 0 + 4*l**3 - 69/10*l**5 - 3*l**4 + 0*l**2 - 1/2*l**7. Let x(n) = 0. What is n?
-2, -1, 0, 2/7
Let l = 523/855 + -2/171. Factor -l*v**2 + 4/5*v + 1/5*v**4 - 2/5*v**3 + 4/5.
(v - 2)**2*(v + 1)**2/5
Let v(c) be the first derivative of 64*c**5/35 + 8*c**4 + 292*c**3/21 + 12*c**2 + 36*c/7 + 3. Let v(q) = 0. Calculate q.
-1, -3/4
Suppose -7*g**4 + 3*g**2 + 2*g**3 + 6*g**5 - 2*g**2 - 2*g**5 = 0. What is g?
-1/4, 0, 1
Let d be 320/(-60)*(-1)/8. Find s, given that -d*s**3 - 2*s - 8/3*s**2 + 0 = 0.
-3, -1, 0
Let b be (6/10)/((-16)/(-80)). Factor -3 - 6*c**2 + 0 + 3*c**b - 3*c**2 + 9*c.
3*(c - 1)**3
Factor -25/4 - 5/4*o**2 - 15/2*o.
-5*(o + 1)*(o + 5)/4
Let u(w) be the second derivative of -w**4/4 + 2*w**3 - 9*w**2/2 + 10*w. Factor u(a).
-3*(a - 3)*(a - 1)
Factor -6/5*o - 2/15*o**3 - 8/15 - 4/5*o**2.
-2*(o + 1)**2*(o + 4)/15
Let 8*n - n**2 - 7*n**2 + 5*n**3 - 12*n**2 + 7*n = 0. Calculate n.
0, 1, 3
Let x(o) = o**3 + o**2 - 4*o - 4. Let w(r) = -4*r**3 - 4*r**2 + 17*r + 17. Let s(j) = 6*w(j) + 26*x(j). Determine d so that s(d) = 0.
-1, 1
Let o(f) be the third derivative of 0*f**3 + 0 - f**2 + 0*f - 1/60*f**5 + 1/24*f**4. Factor o(m).
-m*(m - 1)
Suppose 0 = -2*f + 14 - 10. Solve -2*h**2 + 0*h**2 + h**f = 0.
0
Let p = -3 - -4. Let d be (p + (0 - 1))/1. Factor 0 - t**3 - 3*t + d + 1 + 3*t**2.
-(t - 1)**3
Suppose 3*q = 20 - 