t 1/3*l**3 + 0 - 1/3*l + l**h - l**4 = 0.
-1, 0, 1/3, 1
Let j be ((-28)/(-84))/(2/18). Determine n so that 0*n**4 + 0*n**2 + 1/2*n + 1/2*n**5 - n**j + 0 = 0.
-1, 0, 1
Let a(d) = 123*d**3 + 276*d**2 - 36*d - 3. Let t(f) = 31*f**3 + 69*f**2 - 9*f - 1. Let i(o) = 5*a(o) - 21*t(o). What is s in i(s) = 0?
-2, -1/4, 1/3
Factor -29*z + 29*z - 10 + 125*z**3 - 200*z**2 - 61*z - 34*z.
5*(z - 2)*(5*z + 1)**2
Let v(y) = y**4 - y**3 - y**2 - 5*y + 3. Let q(o) = 4*o - 2. Let k(f) = -3*q(f) - 2*v(f). Factor k(u).
-2*u*(u - 1)**2*(u + 1)
Let g(s) = s**3 + s**2 - s + 4. Let r be g(0). Suppose -r*w = 5 - 17. Factor 2*j**w + 2*j + j**5 - j - 4*j**3.
j*(j - 1)**2*(j + 1)**2
Let o = 2704/7 - 386. Determine r, given that -30/7*r - o - 250/7*r**3 - 150/7*r**2 = 0.
-1/5
Let q(g) = -3*g + 1. Let d be q(-1). Suppose -5*u - 6*n = -n - 35, 0 = -d*u - 5*n + 33. Let -1/5*m**u + 2/5*m + 0 = 0. Calculate m.
0, 2
Let j be (-44)/(-140) + ((-14)/(-35))/1. Factor -3/7*v**3 - j*v**2 - 2/7*v + 0.
-v*(v + 1)*(3*v + 2)/7
What is u in 25/3*u**2 - 5*u**3 + 20/3*u - 20/3 = 0?
-1, 2/3, 2
Let k(o) = o**3 + 6*o**2. Let h be k(-6). Let -2*x**2 + x**2 + h*x + 3*x - 4*x = 0. What is x?
-1, 0
Suppose -2*r + 9 = p, -1 = -4*p + 11. Let f be r*((-28)/(-24) - 1). Find u such that -f + u - 1/2*u**2 = 0.
1
Let z(k) be the third derivative of -k**8/560 - 3*k**7/175 - 11*k**6/200 - k**5/50 + 3*k**4/10 + 4*k**3/5 + 27*k**2. Suppose z(m) = 0. Calculate m.
-2, -1, 1
Let w be 4 - (4 - (-8)/(-12)). Factor 8/9*l + 2/9*l**4 + 0*l**2 + 0 - w*l**3.
2*l*(l - 2)**2*(l + 1)/9
Let a(o) be the third derivative of -o**7/7560 - o**6/2160 - o**4/24 - o**2. Let h(u) be the second derivative of a(u). Factor h(m).
-m*(m + 1)/3
Let x(p) = 6*p**3 + 48*p**2 + 96*p - 11. Let y(w) = 3*w**3 + 24*w**2 + 48*w - 6. Let l(z) = 6*x(z) - 11*y(z). Factor l(c).
3*c*(c + 4)**2
Suppose -4*w + 19 - 7 = 0. Factor 5*g - g - 4*g + w*g**4 + 3*g**5.
3*g**4*(g + 1)
Suppose -10*p + 48 = 6*p. Factor 9*k**p + 6*k**4 + 3/2*k + 6*k**2 + 0 + 3/2*k**5.
3*k*(k + 1)**4/2
Suppose 5*i = 2*i. Let d be i/(-4) - 2/(-9). Find k, given that -d*k + 2/9*k**3 - 2/9*k**2 + 2/9 = 0.
-1, 1
Let f(j) be the first derivative of 2/25*j**5 - 1/5*j**4 + 1/5*j**2 - 4/15*j**3 + 1/15*j**6 + 1 + 2/5*j. Suppose f(a) = 0. What is a?
-1, 1
Let z(u) be the first derivative of -2*u**4/39 + 4*u**3/39 - u**2/13 + 4*u + 1. Let w(l) be the first derivative of z(l). Factor w(f).
-2*(2*f - 1)**2/13
Let c be 2*(-3)/3 - -10. Factor 4*w**2 - 7*w**4 - 3*w**4 + c*w**3 - 6*w**2 + 4*w**5.
2*w**2*(w - 1)**2*(2*w - 1)
Let c(k) be the second derivative of -k**5 - 25*k**4/12 - 5*k**3/6 - 8*k. Find l such that c(l) = 0.
-1, -1/4, 0
Let k(p) = 5*p**2 - 2*p + 1. Let l(x) = -9*x**2 + 3*x - 2. Let f(z) = -7*k(z) - 4*l(z). Factor f(g).
(g + 1)**2
Let v(k) = k**2 + 2*k + 1. Let u be v(-2). Let l be -4 - -6 - -1*u. Factor 3*m**2 + m**2 + 3*m**3 - m**l.
2*m**2*(m + 2)
Let o be (-978)/30 - (-3)/5. Let b be ((-1)/(-3))/((-2)/o). Factor 4/3*c**2 + 2/3*c**5 + 22/3*c**3 + 4*c**4 - b - 8*c.
2*(c - 1)*(c + 1)*(c + 2)**3/3
Let k be (-1)/(2 - 21/12). Let r = -2 - k. Find a, given that -a + 5*a**2 - 5*a**2 + r - a**2 = 0.
-2, 1
Let b(c) be the third derivative of c**6/1440 + c**5/240 + c**4/96 + c**3/2 - c**2. Let v(a) be the first derivative of b(a). Suppose v(w) = 0. Calculate w.
-1
Let t(d) = -d**2 + 4. Let v be t(0). Suppose -v*o + 15 = o. Factor 1/3*a**2 - 1/3*a**o + 0*a + 0.
-a**2*(a - 1)/3
Let d = 1 - 1/4. Find b, given that b**3 + 0*b - d*b**4 + 0 - 1/4*b**2 = 0.
0, 1/3, 1
Suppose -1/6*k**5 - k**3 - 1/6*k + 2/3*k**2 + 2/3*k**4 + 0 = 0. What is k?
0, 1
Factor 4/7*k + 8/7 - 4/7*k**2.
-4*(k - 2)*(k + 1)/7
Let y(b) be the third derivative of -b**8/448 - b**7/140 - b**6/160 - 7*b**2. Factor y(r).
-3*r**3*(r + 1)**2/4
Let d = 1061 - -2813. Let y be d/585 + (-4)/18. Let -16/5*t**4 + y*t + 8/5*t**5 + 8/5 + 26/5*t**2 - 22/5*t**3 = 0. Calculate t.
-1, -1/2, 2
Let j(v) be the third derivative of -v**5/20 + v**3/2 + 6*v**2. Factor j(w).
-3*(w - 1)*(w + 1)
Suppose -4*q = -2*w, 3*w + 3 = 3*q + 9. Let d = 74 - 516/7. What is b in -2/7 + d*b**3 + 2/7*b**q - 2/7*b = 0?
-1, 1
Let g(m) be the first derivative of m**9/2268 - m**8/1680 - m**7/2520 - 2*m**3/3 + 3. Let r(w) be the third derivative of g(w). Factor r(p).
p**3*(p - 1)*(4*p + 1)/3
Let d be (-7)/14*(-20)/2. Suppose 40*k**4 + 0*k**2 + 8*k**3 + 50*k**d + 0*k**2 = 0. What is k?
-2/5, 0
Let d(l) be the third derivative of l**8/1008 + l**7/630 - l**6/360 - l**5/180 - 15*l**2. What is j in d(j) = 0?
-1, 0, 1
Let o = 319 - 2225/7. Suppose 0*x**2 + 66/7*x**3 + 6*x**5 + 0 - o*x - 100/7*x**4 = 0. Calculate x.
-2/7, 0, 2/3, 1
Let k(p) = -2*p**2 + 2. Let y be k(2). Let j = y - -8. Suppose -m + 0*m**j - 1 + 0*m**3 + m**2 + m**3 = 0. What is m?
-1, 1
Let k(h) be the second derivative of 3*h**5/20 - 3*h**3/2 - 3*h**2 - 10*h. Suppose k(f) = 0. What is f?
-1, 2
Let f(u) be the third derivative of 0*u**3 - u**2 + 0*u + 1/45*u**5 - 1/72*u**4 - 1/120*u**6 + 0. Factor f(z).
-z*(z - 1)*(3*z - 1)/3
Suppose -6 = -z + 4. Suppose -10 - f**2 + z = 0. What is f?
0
Let m be ((-3)/20)/((-66)/(-44))*-52. Suppose 36/5*w**2 + 4/5 - m*w = 0. What is w?
2/9, 1/2
Let r(z) be the first derivative of 1/18*z**6 + 1/3*z - 2/9*z**3 - 1/6*z**4 + 1/15*z**5 + 1 + 1/6*z**2. Factor r(x).
(x - 1)**2*(x + 1)**3/3
Let b(g) be the first derivative of -g**4/24 + g**3/18 + g**2/3 - 2*g/3 - 31. Factor b(k).
-(k - 2)*(k - 1)*(k + 2)/6
Suppose 8*d**2 + 4*d**3 + 0*d**2 - 234 + 234 + 4*d = 0. Calculate d.
-1, 0
Let c(l) = -6*l**3 + 18*l**2 - 26*l + 12. Let d(k) = 7*k**3 - 17*k**2 + 25*k - 12. Let n(j) = -3*c(j) - 2*d(j). Solve n(a) = 0.
1, 3
Let i(a) be the first derivative of -a**7/2100 - a**6/180 - 7*a**5/300 - a**4/20 - 2*a**3 + 3. Let u(t) be the third derivative of i(t). Factor u(v).
-2*(v + 1)**2*(v + 3)/5
Let 5/4*o**2 + 5/2*o + 0 = 0. What is o?
-2, 0
Factor 3*n - 2*n - 2*n - n**3 + 2*n.
-n*(n - 1)*(n + 1)
Let o(y) = -3*y**2 + 3*y + 11. Let w(d) = 2*d**2 - 4*d - 10. Let n(c) = 4*o(c) + 5*w(c). Solve n(q) = 0.
-3, -1
Let d be 1 - 2/(-2)*1. What is n in 2/5*n**5 + 4*n**2 + 4*n**3 + d*n + 2/5 + 2*n**4 = 0?
-1
Factor 12*z**3 - 11*z**5 + 12*z**4 - 94*z**5 - 24*z**4.
-3*z**3*(5*z + 2)*(7*z - 2)
Suppose 16*h = 10*h. Let a(x) be the second derivative of -2/3*x**2 + h - 1/18*x**4 - 2*x - 1/3*x**3. Solve a(n) = 0 for n.
-2, -1
Let q(n) = n**3 + 5*n**2 - n - 2. Suppose 2*l - 4 = 2*z, 3*l - 5*l = 6. Let p be q(z). Factor -p*t**2 + 0*t**2 - t**3 + 4*t**2.
-t**2*(t - 1)
Solve -2/3*p**4 + 2*p**3 - 4/3*p**2 + 0*p + 0 = 0.
0, 1, 2
Let z(i) = i**2 + i. Let y(n) = 14*n**2 + 22*n + 4. Suppose 3*x - 30 = 3*o, x + 3*x = 3*o + 38. Let b(d) = x*z(d) - y(d). Suppose b(u) = 0. Calculate u.
-2, -1/3
Let q(y) be the second derivative of -y**4/48 - y**3/12 + y - 6. Factor q(l).
-l*(l + 2)/4
Suppose -5*k + 21 = f - 3*f, -2*f - 6 = -2*k. Find u such that 3*u**f + 2*u**5 - 2*u**3 + 6*u**4 + 8*u**3 - 2*u**2 + u**2 = 0.
-1, 0
Let s(p) be the first derivative of 32/3*p + 2/9*p**3 + 2 - 8/3*p**2. Factor s(z).
2*(z - 4)**2/3
Let l = -109 - -547/5. Solve 0 - l*d**2 + 0*d**3 + 2/5*d**4 + 0*d = 0 for d.
-1, 0, 1
Let k be 98 + (0 - (-3)/3). Let m be -2 + k/21 + -1. Factor -24/7*s - 16/7 - 2/7*s**3 - m*s**2.
-2*(s + 2)**3/7
Suppose -5*l + 10 = -3*l. Let i = l + -3. Factor -4*q**3 - 1/3*q + i*q**2 + 0 - q**5 + 10/3*q**4.
-q*(q - 1)**3*(3*q - 1)/3
Let u(r) be the second derivative of -r**5/50 - r**4/15 - 3*r. Factor u(p).
-2*p**2*(p + 2)/5
Let x(p) be the second derivative of 0 + 7*p + 0*p**3 + 1/147*p**7 + 0*p**2 + 1/42*p**4 + 1/35*p**6 + 3/70*p**5. Determine j, given that x(j) = 0.
-1, 0
Let l(y) be the third derivative of -y**6/360 - y**5/60 - y**4/24 + y**3/3 + y**2. Let o(s) be the first derivative of l(s). Factor o(w).
-(w + 1)**2
Let n(y) = -16*y**3 - 9*y**2 + 57*y - 41. Let f(q) = 4*q**3 + 2*q**2 - 14*q + 10. Let u(z) = 9*f(z) + 2*n(z). Suppose u(k) = 0. Calculate k.
-2, 1
Solve -22 + 8 - 94 - 3*o**2 + 0*o**2 - 36*o = 0 for o.
-6
Let v(y) be the second derivative of y**7/273 - 2*y**6/195 + y**4/39 - y**3/39 - y. Factor v(o).
2*o*(o - 1)**3*(o + 1)/13
Let v be (-66)/(-24) - 2/(-5). Let c = v + -12/5. Suppose 3/4*t**2 + 1/4 + 1/4*t**3 + c*t = 0. What is t?
-1
Let w(k) be the first derivative of -81*k**6/4 + 54*k**5/5 - 3*k**4/2 - 12. What is s in w