 z(r) = s*i(r) - 5*u(r). Solve z(d) = 0 for d.
-1, 0, 1
Factor 35*f**2 - 44*f + 24*f + 30*f.
5*f*(7*f + 2)
Let p(c) be the first derivative of -c**6/3 - 2*c**5/5 + 3*c**4/2 + 2*c**3/3 - 2*c**2 + 9. Solve p(z) = 0.
-2, -1, 0, 1
Let u = -5 + 7. Suppose 4*x + 7 - 27 = 0. Determine r so that 5 - x + r - 5*r**u + 6*r**2 = 0.
-1, 0
Let h(c) be the first derivative of c**8/1470 + c**7/980 - c**6/1260 - c**3 - 1. Let b(l) be the third derivative of h(l). Factor b(p).
2*p**2*(p + 1)*(4*p - 1)/7
Let l(g) be the third derivative of -g**7/420 + 2*g**3/3 - 3*g**2. Let k(o) be the first derivative of l(o). Solve k(j) = 0 for j.
0
Let n(t) = -1 + 0 - t - 5. Let r be n(-8). Factor 2*w**r + 2*w**5 - 4*w**2 - 3*w**4 + 5*w**4 - 2*w**3.
2*w**2*(w - 1)*(w + 1)**2
Factor 12/5*z**4 + 3*z**3 + 0*z + 3/5*z**5 + 0 + 6/5*z**2.
3*z**2*(z + 1)**2*(z + 2)/5
Factor c**2 + 15*c - 5*c**2 - 15*c.
-4*c**2
Let t(d) be the second derivative of d**6/60 + d**5/20 - d**3/6 - d**2/4 - 12*d. What is o in t(o) = 0?
-1, 1
Let z(o) = o + 4. Let l be z(-2). Suppose 5*v = b + 14, -l*v + 5*b = -0*v - 24. Factor -c**2 - 2*c - v*c**2 + 5*c**2 + 1 - c**2.
(c - 1)**2
Let m(o) be the first derivative of -o**6/12 + 3*o**5/10 - 2*o**3/3 - 5. Factor m(t).
-t**2*(t - 2)**2*(t + 1)/2
Let w(n) be the first derivative of -2 + 1/16*n**4 + 1/3*n**3 + 3/8*n**2 + 0*n. Solve w(d) = 0.
-3, -1, 0
Let l = -5/13 - -28/39. Find a such that l*a + 1/3*a**3 + 0 - 2/3*a**2 = 0.
0, 1
Let t(m) = -15*m**3 - 21*m**2 - 15*m - 6. Let k(x) = 14*x**3 + 22*x**2 + 15*x + 5. Let w(r) = -3*k(r) - 2*t(r). Factor w(d).
-3*(d + 1)*(2*d + 1)**2
Let q be 8/6*3/2. Factor h**2 + h**q + 3*h**2 - 7*h**2 + 2.
-2*(h - 1)*(h + 1)
Factor 0*w + 0 - 3/2*w**2 - 6*w**3.
-3*w**2*(4*w + 1)/2
Let p(m) be the third derivative of m**8/252 - 2*m**7/315 - m**6/45 + 2*m**5/45 + m**4/18 - 2*m**3/9 - 5*m**2. Factor p(y).
4*(y - 1)**3*(y + 1)**2/3
Determine b so that 10*b**4 + 13*b**3 + 26*b**3 + 6*b**2 + 2*b**5 + 29*b**3 - 54*b**3 = 0.
-3, -1, 0
Let q(c) be the first derivative of 5*c**4/12 - 4*c**3/3 + 3*c**2/2 - 2*c/3 + 4. Find b, given that q(b) = 0.
2/5, 1
Let i = -4 + 6. Let 98*u**3 + 29*u**i + 27*u**2 + 11*u - 3*u = 0. What is u?
-2/7, 0
Let k(j) = j**3 - 5*j**2 + 6*j. Let z be k(4). Let f = 11 - z. Suppose 2/5 - 8/5*p**2 - 1/5*p - p**f = 0. What is p?
-1, 2/5
Let t(o) be the second derivative of -o**7/56 + 13*o**6/120 - 11*o**5/40 + 3*o**4/8 - 7*o**3/24 + o**2/8 - 2*o. Factor t(w).
-(w - 1)**4*(3*w - 1)/4
Let s = -4 + 6. Factor 2*u + 3*u + 6 - 6*u**2 - s*u - 3*u**3 + 0*u.
-3*(u - 1)*(u + 1)*(u + 2)
Let b(n) be the second derivative of -n**6/480 + n**4/8 + 4*n**3/3 - 3*n. Let x(l) be the second derivative of b(l). Factor x(w).
-3*(w - 2)*(w + 2)/4
Let z(f) be the third derivative of 0 + 0*f - 9*f**2 - 1/420*f**7 + 0*f**3 + 0*f**4 + 1/120*f**5 + 0*f**6. Factor z(k).
-k**2*(k - 1)*(k + 1)/2
Let l = 18214 - 455289/25. Let q = -1/25 + l. Solve 2/5 + 2/5*i**4 + q*i**2 + 8/5*i**3 + 8/5*i = 0.
-1
Let d(m) be the first derivative of -m**5/20 + 3*m**4/16 - m**3/12 - 3*m**2/8 + m/2 + 6. Factor d(n).
-(n - 2)*(n - 1)**2*(n + 1)/4
Let x(m) = 0 - 5 + 4 - m**3 + 2. Let c be x(-1). Factor -5 - v**2 - 2*v + 2 + c.
-(v + 1)**2
Let l(q) be the second derivative of -q**5/40 + q**3/4 - q**2/2 - 9*q. Solve l(s) = 0.
-2, 1
Let g(i) = -2*i - 5. Let q be g(-5). Suppose -r + 6*r = -x + 12, -4*x + 4*r = 0. Factor -q - x*j**2 + 5.
-2*j**2
Let m(d) be the second derivative of 0 - 4/15*d**3 + 1/10*d**4 + 1/5*d**2 - d. Factor m(u).
2*(u - 1)*(3*u - 1)/5
Let y = 1 - 1. Suppose y = -5*d + 3 + 12. Find w such that 3*w**2 - d*w**2 + 2*w - 2*w**3 = 0.
-1, 0, 1
Let z(g) be the first derivative of -g**4/10 + g**2/5 + 12. Factor z(y).
-2*y*(y - 1)*(y + 1)/5
Let h be (-2)/5 - (0 - -1 - 2). Determine j, given that -h*j**2 + j - 2/5 = 0.
2/3, 1
Let x(s) = s**4 - s**3 - 1. Let h(r) = -10*r**4 + 46*r**3 - 68*r**2 + 32*r + 6. Let m(b) = -h(b) - 6*x(b). Suppose m(i) = 0. Calculate i.
0, 1, 8
Let o(i) be the third derivative of -2*i**7/105 - i**6/5 - 4*i**5/5 - 4*i**4/3 - i**2. Suppose o(j) = 0. What is j?
-2, 0
Suppose 2*u = -0*u + 6. Let s be (-4)/(-18)*3*u. Determine r so that 7*r - 7*r + s + 4*r**3 - 6*r**2 = 0.
-1/2, 1
Let g(l) = 3*l**2 + 2*l + 1. Let d be g(-1). Let 2*a + 2*a**2 - 4*a + 2*a**3 + d*a**2 - 4*a**4 = 0. What is a?
-1, 0, 1/2, 1
Let s(l) be the first derivative of l**4/16 + 5*l**3/12 + 7*l**2/8 + 3*l/4 - 7. Factor s(n).
(n + 1)**2*(n + 3)/4
Suppose j + 4*p = 8, 2*p = -2*j - 2*p + 8. Let q = j - -6. Suppose -4*x + q*x + 2*x - 2*x**2 - 2 = 0. What is x?
1
Let h = 69 + -66. Factor 4/3*g**2 - 2/3*g + 0 - 2/3*g**h.
-2*g*(g - 1)**2/3
Factor -36/7*z**3 + 0 - 16/7*z - 2*z**4 - 40/7*z**2 - 2/7*z**5.
-2*z*(z + 1)*(z + 2)**3/7
Let r be 10/(-2) + (-231)/(-35) + -1. Factor -3/5 - 3/5*t**3 + 3/5*t**2 + r*t.
-3*(t - 1)**2*(t + 1)/5
Let -25/4*d + 5/2 + 5/2*d**2 = 0. Calculate d.
1/2, 2
Let x = 192/11 - 3061/176. Let u = x + 7/16. Factor -w - 1/2 - u*w**2.
-(w + 1)**2/2
Let z be 2/(-2) + (1 - 4/(-16)). Factor -f - z*f**2 - 1.
-(f + 2)**2/4
Factor -3*q**3 - 12/5*q**2 + 33/5*q - 6/5.
-3*(q - 1)*(q + 2)*(5*q - 1)/5
Suppose -4 + 4 = 5*a. Let z(f) be the third derivative of 0*f**3 + 0*f + a*f**4 - 3*f**2 + 0 - 1/60*f**6 + 0*f**5. Determine p, given that z(p) = 0.
0
Suppose 3*c - 9 = 0, 4*p + 5*c - 29 = -2. Let h(t) be the second derivative of 0 + 0*t**2 + 1/3*t**p + 5/6*t**4 - 3*t + 2/5*t**5. Factor h(b).
2*b*(b + 1)*(4*b + 1)
Determine u so that 25/3*u**4 - 35/3*u**3 - 5/3*u**2 + 40/3*u - 20/3 - 5/3*u**5 = 0.
-1, 1, 2
Let u(j) = 3*j - 1 - 56*j**2 + j**3 - 6*j + 53*j**2. Let y be u(4). Factor -1/2*k**y + 1/4 + 1/2*k - 1/4*k**2.
-(k - 1)*(k + 1)*(2*k + 1)/4
Suppose -8 = 60*n - 62*n. Let r(j) be the third derivative of -1/480*j**6 + 1/60*j**5 - 5/96*j**n - 3*j**2 + 1/12*j**3 + 0*j + 0. What is p in r(p) = 0?
1, 2
Suppose 2*x + 2 = -2*n, 2*n + 0*x + 3*x + 5 = 0. Factor 0*z**3 + 0 + 0*z + 1/3*z**4 - 1/3*z**n.
z**2*(z - 1)*(z + 1)/3
Suppose -2*x + 17 = -3. Factor 0 - 4 + 0 - 4*c**2 - x*c.
-2*(c + 2)*(2*c + 1)
Let p be (-10)/(-12)*(-1 + 42/40). Let r(a) be the second derivative of 0 - p*a**3 + 1/120*a**6 + 0*a**2 - a - 1/48*a**4 + 1/80*a**5. Factor r(x).
x*(x - 1)*(x + 1)**2/4
Let u be (-16)/(-480)*129 - (-1)/2. Factor 8/5 - u*j - 14/5*j**2.
-2*(j + 2)*(7*j - 2)/5
Let g be 2/3 + 12/9. Factor -10*n - 1 - 4 - 2*n**g + 1 - 2*n**2.
-2*(n + 2)*(2*n + 1)
Let r(g) = 4*g**3 + 6*g - 5. Let z(a) = -a**3 - a + 1. Let v(u) = 3*r(u) + 15*z(u). Factor v(b).
-3*b*(b - 1)*(b + 1)
Let x(y) be the third derivative of -y**5/12 - 5*y**4/8 - 30*y**2. Factor x(j).
-5*j*(j + 3)
Let a(v) = -5*v**4 - 4*v**3 - 3*v**2 - 2*v - 4. Let o(x) = -4*x**4 - 3*x**3 - 3*x**2 - 3*x - 4. Let t(m) = -5*a(m) + 6*o(m). Factor t(s).
(s - 2)*(s + 1)**2*(s + 2)
Let q be ((-6)/(-8))/(-1 + 20/8). Let t(x) be the first derivative of q*x**4 - 1 - 2*x**2 + 0*x + 2/3*x**3. Factor t(c).
2*c*(c - 1)*(c + 2)
Let b(f) be the third derivative of f**2 + 0*f + 0*f**3 + 0 + 7/180*f**5 - 1/36*f**4. What is o in b(o) = 0?
0, 2/7
Let m(a) be the third derivative of -a**7/10 - 23*a**6/40 - a**5 - a**4/2 + 2*a**2 + 24*a. Factor m(l).
-3*l*(l + 1)*(l + 2)*(7*l + 2)
Let d(y) be the third derivative of y**8/100800 - y**6/3600 + y**5/20 + y**2. Let n(x) be the third derivative of d(x). Factor n(u).
(u - 1)*(u + 1)/5
Let v(n) be the third derivative of -n**6/72 + 5*n**4/72 - 16*n**2. Factor v(r).
-5*r*(r - 1)*(r + 1)/3
Let n(d) = d**4 + d**3 + d**2 + d + 1. Let g(k) = -38 - 6*k**3 - 10*k**2 + 2*k**4 + 34 - k - k. Let t(r) = g(r) + 4*n(r). Factor t(v).
2*v*(v - 1)*(v + 1)*(3*v - 1)
Let j(p) be the first derivative of 4*p**5/35 - 2*p**4/7 - 16*p**3/7 - 4*p**2 - 20*p/7 - 5. Factor j(n).
4*(n - 5)*(n + 1)**3/7
Factor 3*j**2 - 3*j**2 - 6*j**2 - 2 + 2*j**3 + 6*j.
2*(j - 1)**3
Suppose 198/17*z + 54/17 + 50/17*z**3 + 210/17*z**2 = 0. What is z?
-3, -3/5
Let p = 1 + 13. Factor 1 + 6*o**4 - p*o**5 + 4*o**2 - 30*o**4 - 6*o**3 - 1.
-2*o**2*(o + 1)**2*(7*o - 2)
Let r(f) be the first derivative of 0*f**2 + 0*f**3 + 0*f + 1/4*f**4 - 1/6*f**6 + 1 + 0*f**5. Factor r(y).
-y**3*(y - 1)*(y + 1)
Let z = 1/68 + 129/476. Let -2/7*k**2 + 2/7*k**3 + 0 - z*k**5 + 0*k + 2/7*k**4 = 0. What is k?
-1, 0, 1
Let g(p) = -2 - 3*p**2 + 4*p + 0 + 1. Let y(m) = -3*m + 2*m**2 + 0 + 1 + 0. Let w(u) = 3*g