+ 3. Let s be x(-3). Find a such that -11 - 3*a**4 - 3*a + 20*a**s + 5 - 17*a**3 + 9*a**2 = 0.
-1, 1, 2
Let i(v) = -v**3 - 2*v**2 - 4*v - 3. Let z be i(-2). Let f be z - 1/(2/4). What is o in -3*o - 5*o**3 - o**3 - 2 + 7*o**f = 0?
-1, 2
Let r(z) be the first derivative of z**4/12 - 2*z**3/9 - 5*z**2/6 + 2*z - 13. Factor r(p).
(p - 3)*(p - 1)*(p + 2)/3
Let i(x) be the second derivative of -5*x**4/12 + 5*x**2/2 + 15*x. Factor i(h).
-5*(h - 1)*(h + 1)
Factor 4*c - 2*c**3 - 3*c**2 + 0 + 4 - 4*c + c**4 + 4*c.
(c - 2)**2*(c + 1)**2
Factor 1/4*s**2 - 5/2 + 3/4*s.
(s - 2)*(s + 5)/4
Let v be (20/(-6))/((-18)/27). Let z(b) be the first derivative of 0*b + 4/3*b**3 - 1/2*b**4 + 1/3*b**6 - 4/5*b**v - 1 + 0*b**2. Suppose z(u) = 0. What is u?
-1, 0, 1, 2
Let a = -50 - -82. Let k(d) = 84*d**5 + 32*d**4 - 52*d**3 - 32*d. Let r(l) = 13*l**5 + 5*l**4 - 8*l**3 - 5*l. Let g(s) = a*r(s) - 5*k(s). What is y in g(y) = 0?
-1, 0, 1
Suppose 2*a = 5*a. Let 1/2*o**3 + 0*o + a*o**2 - 1/2*o**4 + 0 = 0. What is o?
0, 1
Let x(w) be the second derivative of 2*w**7/21 - w**5/5 - 2*w. Find o, given that x(o) = 0.
-1, 0, 1
Let k(d) be the third derivative of -1/270*d**5 + 1/540*d**6 + 1/945*d**7 - 1/1512*d**8 + 6*d**2 + 0*d**4 + 0 + 0*d**3 + 0*d. Find l such that k(l) = 0.
-1, 0, 1
Let t(l) = -l**3 + 5*l**2 + l + 5. Let w(i) = 5*i**2 + i + 4. Let s(a) = -4*t(a) + 5*w(a). Determine f so that s(f) = 0.
-1, -1/4, 0
Let t = -57 + 60. Let a(n) be the first derivative of 8/5*n**5 + t + 1/3*n**6 + 0*n**2 + 5/2*n**4 + 4/3*n**3 + 0*n. Let a(l) = 0. What is l?
-2, -1, 0
Let h(i) be the third derivative of -i**6/120 - 7*i**5/30 - 5*i**4/2 - 12*i**3 - 11*i**2. Determine a, given that h(a) = 0.
-6, -2
Let x(o) = 12*o**5 - 4*o**3 - 8*o**2 + 8*o + 8. Let h(m) = -4*m**5 + m**3 + 3*m**2 - 3*m - 3. Let c(w) = 8*h(w) + 3*x(w). Find t such that c(t) = 0.
-1, 0, 1
Let f(p) = 4*p**4 + 15*p**3 - p**2 - 23*p - 11. Let m(x) = x**4 + 5*x**3 - 8*x - 4. Let b(q) = 3*f(q) - 8*m(q). Let b(l) = 0. What is l?
-1, -1/4, 1
Suppose 85 = 4*m - 11. Suppose s - 5*w = -s - 19, 3*s + 3*w = m. Factor -c**2 - c + 0*c**s - c**2 - c**3.
-c*(c + 1)**2
Let r(q) be the second derivative of q**6/90 + q**5/30 - q**3/9 - q**2/6 - 4*q. Determine v, given that r(v) = 0.
-1, 1
Let r(g) be the first derivative of -g**7/360 + g**6/540 - g**3 + 3. Let i(k) be the third derivative of r(k). Find a, given that i(a) = 0.
0, 2/7
Let q be (-1)/3 + (-157)/42. Let n = -7/2 - q. Factor 6/7*d + 0*d**2 - n - 2/7*d**3.
-2*(d - 1)**2*(d + 2)/7
Let b(m) = -10*m**2 - 24*m - 2. Let g(k) = -k**2 - k + 1. Let z(x) = -b(x) + 4*g(x). Suppose z(v) = 0. What is v?
-3, -1/3
Suppose -16*i + 22 = 4*u - 14*i, 5*u = -i + 20. Solve -1/4*h**5 + 0*h**4 + 0*h**2 + 0 + 0*h + 1/4*h**u = 0 for h.
-1, 0, 1
Suppose 0*n**2 - 1/2*n**3 + 0 + n**4 + 0*n - 1/2*n**5 = 0. What is n?
0, 1
Suppose 0 = i + 3*t - 12, -12 = 5*i - 3*i - 3*t. Let f(u) be the second derivative of 1/54*u**4 + i + 2/9*u**2 + u + 1/9*u**3. Factor f(r).
2*(r + 1)*(r + 2)/9
Let m(j) be the second derivative of 4/3*j**3 - 3*j**2 + 0 - 2*j - 1/6*j**4. Find c, given that m(c) = 0.
1, 3
Let n(l) = -l**3 + 3*l**2 - 2. Let w be n(2). Determine o so that 4 - 1 - w*o**3 + 2*o - 3 = 0.
-1, 0, 1
Suppose 0 + 2/19*k**2 - 4/19*k + 2/19*k**3 = 0. What is k?
-2, 0, 1
Let d(a) be the first derivative of -a**4 - 52*a**3/3 - 96*a**2 - 144*a + 27. Factor d(y).
-4*(y + 1)*(y + 6)**2
Let 2/5 + 2/5*p**2 - 4/5*p = 0. What is p?
1
Let p be (1/3)/((-5)/45). Let z = -1 - p. Factor 4*i**2 - 2*i**z + 3 + 6*i + i**2.
3*(i + 1)**2
Let b(x) = -20*x**2 - 2*x - 3. Let q be b(-4). Let r be (-160)/q - (-4)/(-14). Find p such that r*p + 0 - 2/9*p**2 = 0.
0, 1
Let k be 23/1 + (-8 - -9). Let h = k + -22. Factor 8/3*b**h + 0 - 2/3*b**5 - 2/3*b - 4*b**3 + 8/3*b**4.
-2*b*(b - 1)**4/3
Let x(p) be the second derivative of -p**6/15 + p**4/2 - 2*p**3/3 + 2*p. Factor x(i).
-2*i*(i - 1)**2*(i + 2)
Let v(l) = -6*l**3 - 8*l**2 + 7*l. Let s(c) = 2*c**2 + 5*c**3 - c + 5*c**2 + 0*c**3 - 5*c. Let h(r) = -7*s(r) - 6*v(r). Factor h(p).
p**2*(p - 1)
Suppose 4 = -0*u + 2*u, x - 3*u + 4 = 0. Let g be 2 + x*(1 + -2). Factor -2/7*w**3 + 0*w**2 + 0 + 2/7*w**4 + g*w.
2*w**3*(w - 1)/7
Let w(t) be the third derivative of -t**7/10080 + t**6/2880 + t**5/240 + t**4/12 - 3*t**2. Let x(c) be the second derivative of w(c). Factor x(v).
-(v - 2)*(v + 1)/4
Let b(z) be the first derivative of 0*z - 2/21*z**3 - 1/7*z**4 + 6/35*z**5 + 4 + 0*z**2. Factor b(r).
2*r**2*(r - 1)*(3*r + 1)/7
Let a(c) = -11*c**2 - 2*c + 9. Let z(n) = 10*n**2 + n - 8. Let t(q) = 6*a(q) + 7*z(q). Let j(f) = 7*f**2 - 9*f - 3. Let u(o) = -3*j(o) + 5*t(o). Factor u(p).
-(p - 1)**2
Let u(l) be the second derivative of -l**5/80 - l**4/24 - l**3/24 - 7*l. Factor u(h).
-h*(h + 1)**2/4
Solve 2/3*t**4 + 2/3*t**5 - 2/3*t**3 + 0*t + 0 - 2/3*t**2 = 0 for t.
-1, 0, 1
Let o = 2/323 - -7096/1615. Let h = -232/55 + o. Factor 16/11*s**5 + 24/11*s**4 + 12/11*s**3 + 0 + 0*s + h*s**2.
2*s**2*(2*s + 1)**3/11
Let s be (-35)/12 - (-8 - -5). Let m(c) be the first derivative of 4/9*c**3 + 5/6*c**2 - 2 + s*c**4 + 2/3*c. Factor m(y).
(y + 1)**2*(y + 2)/3
Factor -o**3 - 137*o**2 + 142*o**2 - 9 - 3*o + 0*o**3.
-(o - 3)**2*(o + 1)
Let d(k) be the third derivative of 0*k**3 + 1/84*k**4 + 3*k**2 - 2/735*k**7 + 0 + 0*k - 1/420*k**6 + 1/105*k**5. Let d(y) = 0. Calculate y.
-1, -1/2, 0, 1
Let a be (27 + -33)*3/(-10). Let -24/5*r**3 - a*r**4 + 12/5 + 24/5*r - 3/5*r**2 = 0. Calculate r.
-2, -1, -2/3, 1
Let m be 1 - (-3 + 2 - 1). Let x(p) be the second derivative of -1/5*p**2 + 0 - 2/15*p**m - 1/30*p**4 + p. What is z in x(z) = 0?
-1
Let x = 6 + -4. Factor -x*f**3 - 18 + 2*f**2 + 7 + 11.
-2*f**2*(f - 1)
Let k(j) be the second derivative of j**6/900 + j**5/300 + j**3/2 + 3*j. Let m(o) be the second derivative of k(o). Factor m(t).
2*t*(t + 1)/5
Let n(c) be the third derivative of -c**9/105840 + c**8/47040 - c**4/24 + 4*c**2. Let k(d) be the second derivative of n(d). What is s in k(s) = 0?
0, 1
Let f(t) be the third derivative of -t**7/3780 + t**5/540 + t**3/6 + 2*t**2. Let a(k) be the first derivative of f(k). Suppose a(q) = 0. What is q?
-1, 0, 1
Let f(j) = 17*j**2 - 1. Let v be f(1). Factor -d**2 + 4 - v + 8*d + 5*d**2.
4*(d - 1)*(d + 3)
Let q = -764 + 770. Factor -14*u - q - 32/3*u**2 - 8/3*u**3.
-2*(u + 1)*(2*u + 3)**2/3
Suppose -13*d - 18 = -44. Factor -2/3*o**d - 2/9 - 2/9*o**3 - 2/3*o.
-2*(o + 1)**3/9
Let h(g) = -g**3 - 10*g**2 - 16*g - 8. Let w = -17 - -16. Let r(p) be the first derivative of -p**4/4 + 2. Let b(x) = w*h(x) - r(x). Factor b(l).
2*(l + 1)*(l + 2)**2
Let n(h) be the third derivative of -h**5/30 + 2*h**4/3 - 16*h**2 - 2*h. Factor n(p).
-2*p*(p - 8)
Suppose b - 4*p = 4, -33*p + 36*p = -2*b + 8. Solve -16/3*t**2 - 6*t**5 + 0 - 44/3*t**3 - 2/3*t - 16*t**b = 0.
-1, -1/3, 0
Let h(v) be the third derivative of -v**7/1260 + v**5/180 - v**3/6 + 2*v**2. Let l(m) be the first derivative of h(m). Factor l(c).
-2*c*(c - 1)*(c + 1)/3
Let a = -3 + 6. Suppose -v = a*v - 8. Determine l so that 2*l**2 + 2 - 2*l**4 + 2*l - 2 - v*l**3 = 0.
-1, 0, 1
Let l(p) = -p**2 - 8*p. Suppose -t - 5*b - 13 = 0, 0*t - 2*t - 3*b - 19 = 0. Let a be l(t). Factor 0*h**3 + 2/7*h + 4/7*h**4 - 4/7*h**2 + a - 2/7*h**5.
-2*h*(h - 1)**3*(h + 1)/7
Suppose 0 = 4*f - 3 - 5. Let y(s) be the first derivative of -1/4*s**4 + 1 + 0*s + 1/3*s**3 + 0*s**f. What is b in y(b) = 0?
0, 1
Let s = 141 + -139. Let m(f) be the first derivative of 1 + 1/14*f**4 - 4/7*f - 3/7*f**s + 0*f**3. Factor m(h).
2*(h - 2)*(h + 1)**2/7
Let o = -272 + 2990/11. Let w = o + 15/22. Factor l**3 - l + 0*l**2 - 1/2 + w*l**4.
(l - 1)*(l + 1)**3/2
Let x be -3 - (1*-4 + -2). Suppose -x*r + r + 4 = 0. Factor 0*t + 0 - 4/9*t**r + 2/9*t**3 + 2/3*t**4.
2*t**2*(t + 1)*(3*t - 2)/9
Let x(v) be the second derivative of -8/7*v**2 + 0 + 1/14*v**5 - v + 1/105*v**6 + 1/7*v**4 - 4/21*v**3. Suppose x(k) = 0. What is k?
-2, 1
Let o(i) = 2*i + 2. Let v be o(0). Suppose 0 + 2/3*p - 20/3*p**4 - 5*p**v + 11*p**3 = 0. Calculate p.
0, 1/4, 2/5, 1
Let m(h) be the first derivative of -6/5*h**2 - 8/5*h + 2 - 2/5*h**3 - 1/20*h**4. What is t in m(t) = 0?
-2
Let j(f) = -f**3 - f**2 + 2. Let w be (2 - (2 + 2)) + 2. Let l be j(w). Find n such that -2/3*n**3 + 0*n + 2/3*n**5 + 2/3*n**l + 0 - 2/3*n**4 = 0.
-1, 0, 1
Let h be 12 