 14. Let v(x) = -5*r(x) + 4*y(x). Suppose v(q) = 0. Calculate q.
-2, 1
Solve -8/3*q**2 - 2/3*q + 2*q**5 + 8/3*q**4 + 0 - 4/3*q**3 = 0.
-1, -1/3, 0, 1
Let g = -16 - -24. Suppose -12 = 5*u - 2, 3*l + 2*u - g = 0. Factor c - 3*c - 2*c**3 - 2 + 2*c**2 + l*c.
-2*(c - 1)**2*(c + 1)
Let l be ((-1)/(-2 - -1))/1. Suppose 11 = 2*h - 3. Factor -3*c**2 + 2*c**3 - l + 4*c + c**3 - h*c**3 + 4*c**4.
(c - 1)*(c + 1)*(2*c - 1)**2
Suppose -x + 18 = 2*b, 2*b + 4 - 22 = 5*x. Let q = -5 + b. Let -q*i**3 + 0*i**3 - 16*i**2 + 6*i - 2*i**3 - 4 - 20*i = 0. What is i?
-1, -2/3
Let p be (4 - 8) + 6 + (2 - 1). Let z(s) be the first derivative of -1/6*s**p - 3/4*s**2 + 3 - s. Let z(i) = 0. Calculate i.
-2, -1
Suppose -w = -2 - 3. Suppose 5*o - w*l - 35 = 0, 28 = 3*o - 4*l + 2. Let -8*k + 2*k + 2*k**o + 2*k**3 + 2*k = 0. What is k?
-2, 0, 1
Suppose 0 + 4/3*j + 6*j**3 + 22/3*j**2 = 0. Calculate j.
-1, -2/9, 0
Let h(v) be the first derivative of v**6/6 - 4*v**5/5 - v**4/4 + 4*v**3/3 + 5. Factor h(s).
s**2*(s - 4)*(s - 1)*(s + 1)
Let v(i) = -i**3 - 11*i**2. Let r(z) = -5*z**2. Let p(q) = -9*r(q) + 4*v(q). Determine m, given that p(m) = 0.
0, 1/4
Let n(v) be the first derivative of -v**8/3360 + v**6/360 - v**4/48 + 4*v**3/3 + 10. Let b(t) be the third derivative of n(t). Factor b(x).
-(x - 1)**2*(x + 1)**2/2
Factor 14 - 27 - 17 - 5*n**2 - 25*n.
-5*(n + 2)*(n + 3)
Let c = 4/195 - -179/780. Solve 0 + 0*l + c*l**4 - 1/2*l**3 + 1/4*l**2 = 0.
0, 1
Let t(p) be the third derivative of p**7/840 - p**6/180 + p**5/120 - p**3/2 + p**2. Let j(z) be the first derivative of t(z). Determine k, given that j(k) = 0.
0, 1
Let n be ((-15)/18 - -2) + (-1)/(-3). What is s in 0*s**2 + 3/4 + n*s - 3/2*s**3 - 3/4*s**4 = 0?
-1, 1
Let a = 158919/44 + -7213/2. Let f = -50/11 + a. Let -f*v**5 - 1/4*v**4 + 5/4*v**3 - 1/2*v + 1/4*v**2 + 0 = 0. Calculate v.
-1, 0, 2/3, 1
Let u(b) = b**2 - 13*b + 25. Let s be u(11). Let c(o) be the first derivative of 1/9*o**s + 0*o + 1/15*o**5 + 1/6*o**4 - 2 + 0*o**2. Factor c(d).
d**2*(d + 1)**2/3
What is c in 2*c**4 - 23*c - 14*c - 13*c - 22*c**3 + 0*c**3 + 70*c**2 = 0?
0, 1, 5
Let p = 728/11 - 66. Factor 0*f + 0*f**3 + 2/11*f**4 + 0 - p*f**2.
2*f**2*(f - 1)*(f + 1)/11
Let c(q) = -6 - q**2 - 1 - 10*q + 1. Let p be c(-9). Let -p*r**3 + 2*r**5 + 4*r**3 - 3*r**3 = 0. What is r?
-1, 0, 1
Factor -4*v**2 + 2*v**2 - 12*v**4 + 15*v**3 - 4*v**2 + 3*v**5.
3*v**2*(v - 2)*(v - 1)**2
Let l(j) be the second derivative of -j**4/4 + 3*j**3 + 24*j**2 + 24*j. Solve l(h) = 0.
-2, 8
What is j in 15*j**2 - 5 + 0 - 11 + 5*j**2 - 4*j**4 = 0?
-2, -1, 1, 2
Let d = -2075/6 - -344. Let x = d + 7/3. Determine z so that 3/2*z + x*z**3 - 3/2*z**2 - 1/2 = 0.
1
Factor 0*s**2 - 1/4*s**5 + 0*s**3 + s**4 + 0 + 0*s.
-s**4*(s - 4)/4
Let m(f) = f**5 + f**4 - 3*f**3 - 4*f**2 - f. Let c(x) = -x**5 - 3*x**4 + 5*x**3 + 8*x**2 + x. Let k(g) = -3*c(g) - 5*m(g). Factor k(i).
-2*i*(i - 1)**3*(i + 1)
Let a(x) be the first derivative of -1/4*x + 1/6*x**3 - 1/24*x**6 - 1/8*x**2 + 1/8*x**4 - 1/20*x**5 - 6. Determine j so that a(j) = 0.
-1, 1
Let m(z) be the second derivative of -z**4/3 - 4*z**3 - 18*z**2 + 2*z. Solve m(u) = 0 for u.
-3
Let a(k) = -8*k**2 + k. Let w be a(-1). Let l(d) = -2*d - 18. Let t be l(w). Factor -1/4*c**3 + t + 1/2*c**2 - 1/4*c.
-c*(c - 1)**2/4
Let j(t) be the second derivative of 0 + 1/15*t**3 - 8*t - 1/20*t**4 + 1/100*t**5 + 0*t**2. Solve j(w) = 0 for w.
0, 1, 2
Let w(h) be the first derivative of -21/8*h**4 + 11/6*h**3 + 0*h - 4 - 1/2*h**2 - 5/12*h**6 + 17/10*h**5. What is o in w(o) = 0?
0, 2/5, 1
Let q(o) be the third derivative of 0 - 2*o**2 - 1/25*o**5 - 1/15*o**4 - 1/525*o**7 - 1/15*o**3 + 0*o - 1/75*o**6. What is z in q(z) = 0?
-1
Let a(b) = 4*b**2 - b - 2. Let u be a(-1). Suppose -5*h - 1 = -16. Solve 0*d**h + d**2 + 3*d**4 - d**u + d - 4*d**4 = 0 for d.
-1, 0, 1
Let k be (-3)/3*(3 + 0). Let j be 2/k - (-56)/63. Factor j - 4/9*d - 2/9*d**2 + 4/9*d**3.
2*(d - 1)*(d + 1)*(2*d - 1)/9
Let i(f) be the second derivative of -f**7/21 - 2*f**6/3 - 33*f**5/10 - 20*f**4/3 - 16*f**3/3 - 13*f + 1. Determine h, given that i(h) = 0.
-4, -1, 0
Let o be 12/24 + (-2)/4. Let u(t) be the second derivative of -2/45*t**6 + 2*t + 1/9*t**7 + 0*t**5 + 0*t**3 + 0*t**2 + o + 0*t**4. Factor u(l).
2*l**4*(7*l - 2)/3
Suppose 0*i = -i + z, 4*i + z - 15 = 0. Let y(l) be the first derivative of -7/15*l**5 - 2/3*l + l**3 - 5/6*l**2 + i + 5/12*l**4. Solve y(s) = 0 for s.
-1, -2/7, 1
Let f(a) be the first derivative of -4 - 1/7*a**2 - 4/7*a + 2/21*a**3. Factor f(l).
2*(l - 2)*(l + 1)/7
Let i be (7/((-70)/(-18)))/((-2)/(-4)). Let a be 5/(-50) - (-2)/4. Find t such that -i - a*t**2 + 12/5*t = 0.
3
Let p = 201/40 + -5. Let k(i) be the third derivative of 1/210*i**7 + 1/30*i**5 + 0 + 0*i - p*i**6 + 0*i**3 + 0*i**4 - 3*i**2. Find l such that k(l) = 0.
0, 1, 2
Let c(h) be the third derivative of h**6/360 + h**5/90 + h**4/72 - 7*h**2. Solve c(j) = 0 for j.
-1, 0
Let k(u) be the second derivative of -1/7*u**2 - 2/7*u**4 - 3*u + 0 + 2/7*u**3 + 4/35*u**5. Find h such that k(h) = 0.
1/2
Suppose 0 - 6*r**3 + 0*r + 4/3*r**2 = 0. What is r?
0, 2/9
Let q(t) be the first derivative of 25*t**6/27 - 2*t**5/9 - 41*t**4/18 + 2*t**3/27 + 16*t**2/9 + 8*t/9 + 20. Solve q(l) = 0.
-1, -2/5, 1
Suppose 0*t - 2*t = -4. Let i be 4/28*-12 + t. Suppose 0 + 0*a**2 + 0*a - i*a**3 = 0. What is a?
0
Suppose 0 = -10*u + 15 + 5. Factor -4/7 - 2/7*n + 2/7*n**u.
2*(n - 2)*(n + 1)/7
Suppose -3*u**2 + 8*u**3 - 3*u**4 - u**3 - u**3 = 0. What is u?
0, 1
Let h(r) be the second derivative of -r**6/6 - 3*r**5/2 - 5*r**4 - 25*r**3/3 - 15*r**2/2 - 13*r. Suppose h(v) = 0. Calculate v.
-3, -1
Let j(f) be the first derivative of 0*f**5 + 1/24*f**6 - 4 + 0*f**2 + 0*f + 0*f**3 - 1/16*f**4. Factor j(p).
p**3*(p - 1)*(p + 1)/4
Solve -8*t**2 - 10*t**3 + 7*t**3 - t**3 = 0 for t.
-2, 0
Let u(k) be the third derivative of k**5/30 + k**4/6 - 11*k**2. Factor u(w).
2*w*(w + 2)
Let f(h) = h**3 + h**2 - 4*h - 3. Let a be f(-2). Factor a - t**2 - 2*t**2 - 3*t**3 + 5*t**3.
(t - 1)**2*(2*t + 1)
Let r(s) = s**5 + 2*s**4 + s**3 - 4*s**2 - 2*s + 2. Let w(q) = 2*q**5 + 2*q**4 - 4*q**2 - 2*q + 2. Let u(p) = 4*r(p) - 3*w(p). Factor u(k).
-2*(k - 1)**3*(k + 1)**2
Let q(o) be the second derivative of -o**6/30 - 3*o**5/10 - 2*o**4/3 + o**3 + 9*o**2/2 - 29*o. Find p such that q(p) = 0.
-3, -1, 1
Factor 2/3*z**3 - 1/3*z + 0 + 0*z**4 + 0*z**2 - 1/3*z**5.
-z*(z - 1)**2*(z + 1)**2/3
Let f be 5/10*-3*-2. Let y(b) be the first derivative of 2*b - 1 + 11/2*b**2 + 14/3*b**f. Factor y(k).
(2*k + 1)*(7*k + 2)
Suppose -3*x = -m - 14, -2*x = -6*x - 3*m - 3. Suppose -x = -3*l + 3*w, 3*l + 6 = w + 17. Let 1 - 6*p**3 - 3*p**4 - l*p**3 + 3*p**3 - 6*p**2 = 0. Calculate p.
-1, 1/3
Determine r, given that 48/7*r**3 + 2/7*r + 44/7*r**4 + 2*r**5 + 0 + 20/7*r**2 = 0.
-1, -1/7, 0
Let h(j) be the first derivative of j**6/540 - j**5/180 - j**4/18 + j**3/3 + 1. Let o(w) be the third derivative of h(w). Factor o(b).
2*(b - 2)*(b + 1)/3
Let y = 607 + -605. Factor 0 + 14/3*m**y - 4/3*m.
2*m*(7*m - 2)/3
Let c = 47 + -44. Let u(v) be the second derivative of 0*v**2 + 1/15*v**6 + 4/3*v**c + 4/3*v**4 + 1/2*v**5 + v + 0. Factor u(k).
2*k*(k + 1)*(k + 2)**2
Suppose -f = -2*f + 8. Let n be f/(-2) - (-4 + 0). What is g in -1/5*g + n - 1/5*g**2 = 0?
-1, 0
Let x(h) be the first derivative of 0*h + 0*h**3 + 2*h**2 + 2/3*h**6 - 6 - 2*h**4 + 0*h**5. Factor x(v).
4*v*(v - 1)**2*(v + 1)**2
Let o = -42 + 21. Let s be 4 - 0 - (-77)/o. Let 0 - s*f**2 + 2/3*f = 0. Calculate f.
0, 2
Let b be 0 + 1 + 2/(-4). Factor -1/2*s**2 - b - s.
-(s + 1)**2/2
Let z(d) be the first derivative of d**4/4 + 4*d**3/3 - 7*d**2/2 - 7*d + 2. Let k be z(-5). Let 2 + 2*i**2 + 0 + i + k*i = 0. Calculate i.
-1
Let t(z) be the first derivative of -15*z**4/4 + 55*z**3/3 + 15*z**2 - 40*z - 38. What is m in t(m) = 0?
-1, 2/3, 4
Let o = -6 + 9. Suppose -1 - 11 = -3*g + 4*r, o = 5*g - r. Factor 0*m + 1/4*m**3 + g + 0*m**2.
m**3/4
Let 0 + 1/3*a**2 + 0*a = 0. What is a?
0
Suppose -4*g + 4*y + 12 = 0, 3*y - 7 = -g - 0*y. Determine i so that 4*i**3 + 16/7*i + 18/7*i**g + 0 - 72/7*i**2 - 8/7*i**5 = 0.
-2, 0, 1/4, 2
Let d(x) = -x**2 - 6*x + 10. Suppose -q - 23 = 4*q - 4*c, 3*q + c + 24 = 0. Let v be d(q). Factor 3*g**3 - 2*g**2 - 2*g**4 - 4*g**v + 5*g**3.
-2*g**2*(g - 1)**2
Let c