0*(-2)/(l/3). Find x such that 0*x + 2/9*x**3 + 0*x**2 + y = 0.
0
Let r(d) = d**2 - 6*d + 1. Let p(m) = 1. Let q(v) = -24*p(v) + 3*r(v). Factor q(n).
3*(n - 7)*(n + 1)
Let o(j) be the second derivative of 5*j**7/42 + 5*j**6/18 + j**5/12 - 5*j**4/36 + 20*j. Find w, given that o(w) = 0.
-1, 0, 1/3
Let m(s) = -2*s - 5*s + 29*s**2 - 25*s**2. Let i(y) = -y - 4. Let j be i(0). Let h(c) = -2*c**2 + 4*c. Let g(x) = j*m(x) - 7*h(x). Let g(a) = 0. Calculate a.
0
Let q(g) be the second derivative of g**7/252 + g**6/180 - g**5/24 - g**4/72 + 2*g**3/9 - g**2/3 + g + 7. Find d, given that q(d) = 0.
-2, 1
Let t(c) be the first derivative of c**5/20 + c**4/4 + 5*c**3/12 + c**2/4 - 32. Factor t(j).
j*(j + 1)**2*(j + 2)/4
Suppose -2*a + 12 = -3*s, 4*a - 5*s = -2*s + 30. Let n be a/(-5) + 3/1. Factor -n*d**2 - 2/5*d**3 - 4/5*d + 0.
-2*d*(d + 1)*(d + 2)/5
Let m(v) be the third derivative of -v**6/1260 - v**5/630 + v**4/63 + 4*v**3/63 + 13*v**2. Factor m(x).
-2*(x - 2)*(x + 1)*(x + 2)/21
Let p(y) = 2*y**2 - 8*y + 2. Let i(t) = -t**2 + 7*t - 1. Suppose 0*n + n = -3. Let r(f) = n*p(f) - 4*i(f). Factor r(s).
-2*(s + 1)**2
Let w(b) be the third derivative of -b**6/30 + 7*b**5/15 - 8*b**4/3 + 8*b**3 - 38*b**2. Find y such that w(y) = 0.
2, 3
Let j be (6 + -2)*8/(-8). Let q be (-1 - -1)*(j - -3). Factor q*n - 1/2*n**4 + 1/2*n**2 + 0 + 0*n**3.
-n**2*(n - 1)*(n + 1)/2
Let j(a) be the third derivative of 0*a + 4/525*a**7 + 0*a**4 + 1/100*a**6 + 0*a**3 - 1/150*a**5 + 4*a**2 + 0. Find i such that j(i) = 0.
-1, 0, 1/4
Let a(w) = w**2 - 3*w - 2. Let o be a(4). Find u, given that -u**2 - 4*u + 0*u**o + 3*u**2 = 0.
0, 2
Factor 2*v**5 + 52*v - 12 + 2*v**5 - 41*v**2 + 72*v**3 - 47*v**2 - 28*v**4.
4*(v - 3)*(v - 1)**4
Let p(u) be the second derivative of u**4/66 + 5*u**3/33 + 4*u**2/11 - 2*u - 2. Factor p(h).
2*(h + 1)*(h + 4)/11
Suppose 6 = d + 3. Let b(c) be the second derivative of 0*c**4 - 1/35*c**5 + 1/21*c**d + 0*c**2 + 0*c**6 + 2*c + 0 + 1/147*c**7. What is a in b(a) = 0?
-1, 0, 1
Let x(f) be the first derivative of -f**2/2 + 7*f - 6. Let l be x(-6). Factor -125/4*r**4 + l*r + 2 - 25/4*r**3 + 45/2*r**2.
-(r - 1)*(5*r + 2)**3/4
Suppose 0 = d + q + 1, -4*d + 15 + 16 = -3*q. Let g be (6/4)/(1/2). Factor -2/3*s**g - 1/3*s**5 + 1/3 + 2/3*s**2 + s - s**d.
-(s - 1)*(s + 1)**4/3
Let u(r) be the third derivative of -r**8/23520 - r**7/2940 - r**6/840 - r**5/420 - r**4/24 - 4*r**2. Let k(y) be the second derivative of u(y). Factor k(q).
-2*(q + 1)**3/7
Let t(x) = -7*x**4 + x**3 - 3*x**2 + 9*x - 5. Let l(z) = 3*z**4 + z**2 - 4*z + 2. Let v(k) = 10*l(k) + 4*t(k). Factor v(j).
2*j*(j - 1)*(j + 1)*(j + 2)
Let m(t) be the first derivative of -2*t**6/9 - 17*t**5/15 - 5*t**4/3 - 4*t**3/9 - 2. Factor m(k).
-k**2*(k + 2)**2*(4*k + 1)/3
Let d = 108 + -754/7. Factor -6/7*o + 18/7*o**2 - d - 10/7*o**3.
-2*(o - 1)**2*(5*o + 1)/7
Let h(z) be the third derivative of z**6/24 - 35*z**4/24 - 5*z**3 - 31*z**2. Factor h(s).
5*(s - 3)*(s + 1)*(s + 2)
Let u(f) be the first derivative of f**4/7 - 2*f**3/21 - 2*f**2/7 + 2*f/7 + 5. Determine d, given that u(d) = 0.
-1, 1/2, 1
Let v(d) be the first derivative of -4 + 1/27*d**3 + 1/18*d**2 + 0*d. Factor v(h).
h*(h + 1)/9
Let a(h) = 4*h**2 + 5*h - 5. Let v(t) = 6*t**2 + 8*t - 8. Let p(f) = 8*a(f) - 5*v(f). Determine j, given that p(j) = 0.
0
Let l be (-1)/3 - 23/(-42). Let z = l - -2/7. Determine u so that -1 + 1/2*u**4 + z*u**3 - 5/2*u - 3/2*u**2 = 0.
-1, 2
Suppose -5*a - 12*a**3 - 7*a**3 + 3*a**2 + 2 - a**4 + 20*a**3 = 0. Calculate a.
-2, 1
Suppose 8 + 0 = 4*b. Let c be (-2)/2 - (1 - b). Find y, given that 0*y + c*y + y**3 - y = 0.
-1, 0, 1
Let q = -441 + 2212/5. Let n = -19 + 21. Suppose 0 + 2/5*s + q*s**n = 0. Calculate s.
-2/7, 0
Factor -3*w + 0*w + 2 - 4*w + 4*w + w**3.
(w - 1)**2*(w + 2)
Let n(p) be the third derivative of p**10/151200 - p**8/6720 + p**7/2520 + p**5/30 - 7*p**2. Let h(g) be the third derivative of n(g). Factor h(m).
m*(m - 1)**2*(m + 2)
Suppose -6*j**3 + 31*j**2 + 0*j**3 - 32*j + 8 - 5*j**2 = 0. What is j?
1/3, 2
Let m = 121 - 117. Factor -6/5*o**2 - 2/5*o**m + 0 - 6/5*o**3 - 2/5*o.
-2*o*(o + 1)**3/5
Let g(p) be the first derivative of 1/2*p**6 - 18/5*p**5 - 16*p**3 - 2 + 21/2*p**4 - 6*p + 27/2*p**2. Solve g(x) = 0 for x.
1, 2
Let z(v) = -v**2 - 1. Let o(q) = -q**2 + 22*q - 5. Let h(a) = -2*o(a) - 14*z(a). Factor h(i).
4*(i - 2)*(4*i - 3)
Factor 0*s**4 - 1/7*s**5 + 0 - 1/7*s + 0*s**2 + 2/7*s**3.
-s*(s - 1)**2*(s + 1)**2/7
Let a(s) be the second derivative of -237/20*s**5 + 7*s + 0 + 69/4*s**4 - 14*s**6 + 2*s**3 - 6*s**2. Let a(q) = 0. Calculate q.
-1, -1/4, 2/7, 2/5
Let z = -127 + 129. Let m(d) be the second derivative of 0 + 0*d**3 + 4*d + 0*d**z + 0*d**5 + 1/28*d**7 + 0*d**4 - 1/20*d**6. Factor m(c).
3*c**4*(c - 1)/2
Let j be 3851/28 - (-7)/(-28). Let x = j + -137. Solve x + 4/7*t + 2/7*t**2 = 0.
-1
Suppose 2*f - 4*c = -c + 1, 4*c = 3*f - 2. Factor d**f + 4*d + d - 2*d + 1 - d.
(d + 1)**2
Let u(a) = -3 - 2 + 5 - a**2 - 3*a - a**3 - 1. Let c(m) = -m**3 - m**2 - m. Let n(l) = -2*c(l) + u(l). Factor n(i).
(i - 1)*(i + 1)**2
Let c(o) = -o**5 + o**4 - o**3 - 1. Let x(d) = -7*d**5 - 13*d**4 + 43*d**3 - 25*d**2 - 2. Let n(w) = -2*c(w) + x(w). Determine u so that n(u) = 0.
-5, 0, 1
Let d(v) be the third derivative of v**6/40 - 3*v**5/10 + 9*v**4/8 - 7*v**2. Determine i, given that d(i) = 0.
0, 3
Let t = 4 - 2. Let s(a) = 17*a**4 + 14*a**3 - 5*a**2 - 2*a. Let v(o) = 8*o**4 + 7*o**3 - 2*o**2 - o. Let z(x) = t*s(x) - 5*v(x). Factor z(d).
-d*(d + 1)*(2*d + 1)*(3*d - 1)
Let t = 42/19 - 256/133. Factor t*s**2 + 2/7 - 4/7*s.
2*(s - 1)**2/7
Factor 1/2 - 1/4*o**5 + 3/2*o**4 - 9/4*o - 7/2*o**3 + 4*o**2.
-(o - 2)*(o - 1)**4/4
Let s(j) = 4*j**5 - 3*j**4 - 4*j**2 + 3*j. Let r(i) = -7*i**5 + 6*i**4 - i**3 + 7*i**2 - 5*i. Let a(g) = 3*r(g) + 5*s(g). Factor a(m).
-m**2*(m - 1)**3
Let k(q) = q**2 + 3*q + 3. Suppose 12 = -0*s - 4*s. Let l be k(s). Let -1/3*u**l + 1/3 + u**2 - u = 0. Calculate u.
1
Suppose -11*j + 22 + j - 3*j**2 + 25 - 39 = 0. Calculate j.
-4, 2/3
Let n be 4/38 + 1519/2356. Let -1/4*y**4 + 1/2 - 3/4*y**3 - 1/4*y**2 + n*y = 0. Calculate y.
-2, -1, 1
Let q(j) = 52*j**2 + 7*j - 13. Let w(a) = -625*a**2 - 85*a + 155. Let t(v) = 25*q(v) + 2*w(v). Factor t(n).
5*(2*n - 1)*(5*n + 3)
Let j(m) = 9*m**2 + 3*m - 7. Let c(k) = -k + 3. Let f be c(0). Let t(s) = 4*s**2 + s - 3. Let r(b) = f*j(b) - 7*t(b). Factor r(v).
-v*(v - 2)
Let l(z) = -z**2 - 5*z. Let t be l(-5). Suppose t = 5*s - 0*s - 15. What is q in -6*q**4 + 0*q**2 + 3*q**5 - 2*q**2 + 2*q**5 - 3*q**5 + 6*q**s = 0?
0, 1
Let w = 431/1740 + 1/435. Factor w*z**3 + 0*z + 0 - 1/2*z**2.
z**2*(z - 2)/4
Let l(f) be the first derivative of 0*f**2 + 4 + 0*f**4 - 2/5*f**5 + 0*f**3 + 0*f + 1/6*f**6. Determine h, given that l(h) = 0.
0, 2
Let d(c) be the third derivative of c**8/1176 - c**7/735 - c**6/420 + c**5/210 - 23*c**2. Find w, given that d(w) = 0.
-1, 0, 1
Let c(g) = -6*g**4 + 8*g**2 + 4*g - 2. Let d(l) = -5*l**4 + 7*l**2 + 3*l - 2. Let n(k) = -3*c(k) + 4*d(k). Determine x so that n(x) = 0.
-1, 1
Suppose 4*k - 24 = -3*u - u, -2*u = -4*k + 12. Let g be (u/(-3))/((-8)/36). Solve 0*h + 0 + 1/3*h**2 + 1/3*h**g = 0.
-1, 0
Suppose -5*r + 6*r = 0. Suppose 0 = 2*i - r*i - 2. Factor -2*j**2 + 3*j + 5*j - 1 - i - 6.
-2*(j - 2)**2
Let v(w) be the second derivative of -1/30*w**6 + 1/126*w**7 + 1/18*w**4 + 1/6*w**2 + 3*w + 0 - 1/6*w**3 + 1/30*w**5. Let v(c) = 0. What is c?
-1, 1
Determine q, given that -2*q + 4*q + 2*q**3 + 8*q**2 - 6*q**3 + 2*q - 8 = 0.
-1, 1, 2
Let j(w) be the third derivative of -w**7/735 + w**6/30 - 12*w**5/35 + 40*w**4/21 - 128*w**3/21 - 25*w**2. Let j(y) = 0. Calculate y.
2, 4
Factor -3/7*t**2 + 12/7*t - 9/7.
-3*(t - 3)*(t - 1)/7
Let a be (-7)/(-735)*5/2. Let k(f) be the second derivative of -a*f**7 - 5/6*f**4 - f - 1/2*f**2 - 5/6*f**3 + 0 - 1/6*f**6 - 1/2*f**5. Factor k(v).
-(v + 1)**5
Suppose -7*a + 14 + 7 = 0. Solve -h**2 - h - 1/3*h**a - 1/3 = 0 for h.
-1
Factor -162/7 + 36/7*n - 2/7*n**2.
-2*(n - 9)**2/7
Let o(n) = -n**2. Let h(x) = 9*x**4 - 3*x**3 - 23*x**2 + 28*x - 8. Let w(r) = -h(r) - 3*o(r). Factor w(m).
-(m - 1)*(m + 2)*(3*m - 2)**2
Let z = 257 + -3857/15. Let l = z - -23/60. Suppose 2*b**2 - 4*b**3 + l + 7/4*b = 0. What is b?
-1/4, 1
Let i be (3/12)/((-10)/(-16)). Let t = 764/5 -