 u.
-1, 1
Determine x, given that -1/5*x**3 + 0*x - 1/5*x**4 + 0 + 0*x**2 = 0.
-1, 0
Let y be (-9)/(-6)*(-1)/(-54). Let z(s) be the second derivative of -1/18*s**3 + s - 1/90*s**6 + y*s**4 + 0*s**2 + 0 + 1/60*s**5. Factor z(o).
-o*(o - 1)**2*(o + 1)/3
Let w(v) be the first derivative of -v**6/30 - 3*v**5/20 - v**4/4 - v**3/6 + 6*v - 5. Let f(n) be the first derivative of w(n). What is z in f(z) = 0?
-1, 0
Let x(v) be the third derivative of v**7/1050 + v**6/600 + 20*v**2. Find b, given that x(b) = 0.
-1, 0
Let v(u) = -3*u**5 + 3*u**4 + 6*u**2 + 6*u. Let g(l) = -3*l**5 + 3*l**4 + l**3 + 5*l**2 + 5*l. Let n(b) = -6*g(b) + 5*v(b). Let n(d) = 0. What is d?
-1, 0, 2
Let r be (-1 - 10/(-12))*-2. Let u be 112/40 - 4/5. What is p in u*p**2 + 8/3 - 4*p - r*p**3 = 0?
2
Let d(h) be the second derivative of 4*h**7/21 - 4*h**6/15 - 11*h**5/10 + h**4/3 + 7*h**3/3 + 2*h**2 + 54*h. Let d(a) = 0. Calculate a.
-1, -1/2, 1, 2
Let x(s) be the third derivative of 0 + 2*s**2 - 1/360*s**6 + 0*s - 1/216*s**4 + 1/54*s**3 - 1/108*s**5. Factor x(n).
-(n + 1)**2*(3*n - 1)/9
Let a(d) = -6*d**3 + 6*d**2 - 5. Let c(u) = 7*u**3 + 7 + 4 - 7*u**2 - 5. Let x(k) = -6*a(k) - 5*c(k). Solve x(r) = 0 for r.
0, 1
Let c(q) = q**3 - q**2 + q. Let f(w) = -3*w**3 + w**2 - 2*w. Let s(p) = -2*c(p) - f(p). Solve s(k) = 0 for k.
-1, 0
Let x(r) be the second derivative of -r**6/40 + r**5/5 - r**4/2 + 4*r**3/3 + 5*r. Let k(z) be the second derivative of x(z). Factor k(g).
-3*(g - 2)*(3*g - 2)
Let b = 5 - 1. Factor -4*h**3 + 0 - 2 - 4*h**5 - 2*h**b + 4*h**2 + 6*h**5 + 2*h.
2*(h - 1)**3*(h + 1)**2
Factor -1/2 - 1/2*i**2 + i.
-(i - 1)**2/2
Suppose -2*l + 5*g = -19 - 10, -5*l - 15 = 5*g. Factor -3/2*y - 1/2*y**l - 1.
-(y + 1)*(y + 2)/2
Suppose d + 2*d = -2*a - 19, 2*d - 34 = 2*a. Let k = a - -17. Find n such that -2/5*n**k + 0*n**2 - 2/5*n**5 + 0*n + 0 - 4/5*n**4 = 0.
-1, 0
Let p(s) be the third derivative of -s**7/1050 - s**6/150 + s**5/100 + 7*s**4/60 + 4*s**3/15 - 5*s**2. Factor p(y).
-(y - 2)*(y + 1)**2*(y + 4)/5
Suppose 9 = 2*r + q, -r + 3*q + 0*q + 8 = 0. Suppose 3*o - 7*o + 4 = j, r*o - 5 = 0. Suppose -2*t**3 - 2*t**2 + j*t + 1 + 1 + 2*t = 0. Calculate t.
-1, 1
Let k(i) be the second derivative of 0 + i**3 - 2*i + 0*i**2 - 1/2*i**6 + 1/14*i**7 - 7/4*i**4 + 27/20*i**5. Factor k(t).
3*t*(t - 2)*(t - 1)**3
Let p(d) = 4*d**5 + d**3 + 5*d**2 - 5*d. Let q(o) = 5*o**5 + o**3 + 6*o**2 - 6*o. Let i = 11 - 16. Let m(r) = i*q(r) + 6*p(r). Factor m(z).
-z**3*(z - 1)*(z + 1)
Let v(l) = l**2 - 7*l + 6. Let q be v(6). Let p be 8/20 - 0/(-2). Factor 0*x**3 - 2/5 + q*x + 4/5*x**2 - p*x**4.
-2*(x - 1)**2*(x + 1)**2/5
Let x(n) = 3*n**4 + 3*n**3. Let k(d) = d**4 + d**3. Let u(v) = 8*k(v) - 3*x(v). Find i, given that u(i) = 0.
-1, 0
Let n(f) be the third derivative of f**6/480 - f**4/32 + f**3/12 - f**2. Find m such that n(m) = 0.
-2, 1
Let u(w) = -4*w**3 + 60*w**2 - 305*w + 500. Let p(j) = 6*j**3 - 90*j**2 + 458*j - 750. Let v(b) = 5*p(b) + 8*u(b). Factor v(o).
-2*(o - 5)**3
Let m = 1106/5 - 224. Let f = 3 + m. Factor -1/5*r**5 + 0 + f*r**4 - 1/5*r**2 + 1/5*r**3 + 0*r.
-r**2*(r - 1)**2*(r + 1)/5
Let u be (-1)/1 - (-39)/36. Let r(b) be the second derivative of u*b**4 + 0 - b - 1/3*b**3 + 0*b**2. Factor r(w).
w*(w - 2)
Let h(w) be the first derivative of 4*w**5/45 + 10*w**4/9 + 44*w**3/9 + 80*w**2/9 + 64*w/9 + 11. Factor h(y).
4*(y + 1)**2*(y + 4)**2/9
Suppose 3 = 3*d - 12. Suppose 0*s + 30 = -d*s. Let q(m) = 6*m**2 - 7*m + 6. Let n(l) = 7*l**2 - 8*l + 7. Let t(b) = s*q(b) + 5*n(b). Find o such that t(o) = 0.
1
Suppose -2 = -7*y + 6*y. Solve -7*z**3 + y*z - 5*z**3 - 3*z**2 + 13*z**3 = 0 for z.
0, 1, 2
Factor 2*x**2 + 6*x**2 - 6*x - 2*x**2 + 4 - 4*x**2.
2*(x - 2)*(x - 1)
Suppose -3*x**5 - 2*x**5 + 6*x**4 - 3*x**3 + 2*x**5 = 0. What is x?
0, 1
Let b(a) = -2*a**4 - 8*a**3 - 4*a. Let k be (-126)/12 - (-2)/4. Let n(u) = u**2. Let t(i) = k*n(i) + b(i). Factor t(c).
-2*c*(c + 1)**2*(c + 2)
Let d(k) = 2*k - 6. Let j be d(5). Let v = j + 0. Factor -3/2*p**2 + 0 + 3/2*p**3 + 1/2*p - 1/2*p**v.
-p*(p - 1)**3/2
Factor -12*j**2 + 24 - 6*j**3 + 7*j - 36*j - j - 21*j**2.
-3*(j + 2)*(j + 4)*(2*j - 1)
Suppose 2 = 3*h - 4. Let n = -3/2 + 2. Solve -1/2 + p**3 + p**h - n*p**5 - 1/2*p - 1/2*p**4 = 0.
-1, 1
Let k(w) be the first derivative of w**6/180 + w**5/90 - w**4/18 + w**2/2 - 2. Let c(u) be the second derivative of k(u). Factor c(g).
2*g*(g - 1)*(g + 2)/3
Let k(i) be the second derivative of i**5/40 - i**3/12 + 5*i. Factor k(a).
a*(a - 1)*(a + 1)/2
Let f(d) = d**5 + d**4 + 7*d**3 - 8*d**2 - 5*d + 7. Let v(t) = 2*t**4 + 6*t**3 - 8*t**2 - 4*t + 6. Let q(n) = 2*f(n) - 3*v(n). Find s, given that q(s) = 0.
-1, 1, 2
Let i be -3 + (-1 + -7)/(210/(-79)). Let u(j) be the third derivative of -1/210*j**5 + 0*j**4 + 0*j + i*j**6 - j**2 + 0*j**3 + 0. Solve u(x) = 0 for x.
0, 1/4
Let p = -15 - -20. Let m be (2 - 2)/(-4 + p). Find a, given that 2/3*a**3 + 0 - 2/3*a + m*a**2 = 0.
-1, 0, 1
Let g(j) be the second derivative of -j**7/70 + j**6/50 + 3*j**5/100 - j**4/20 - 26*j. Factor g(r).
-3*r**2*(r - 1)**2*(r + 1)/5
Let f(y) = y**3 + y**2 - 1. Let q(m) = -5*m**3 - 3*m**2 + 3*m + 7. Suppose -x + u = -0 + 11, -x - 1 = u. Let n(c) = x*f(c) - q(c). Factor n(a).
-(a + 1)**3
Let v = 15 - 11. Suppose 2*a - v = -0*a. Solve -a*d - 3*d**3 - d + 1 + 3*d**2 + 2*d**3 = 0 for d.
1
Let b(r) = 2*r**4 + 2*r**3 - 2*r**2 - 6*r. Let a(x) = -x**3 - x**2 + 1. Let m(p) = -4*a(p) + b(p). Factor m(q).
2*(q - 1)*(q + 1)**2*(q + 2)
Let w be ((-6)/(-9))/(12/3). Let v(i) be the second derivative of 1/42*i**7 + 0 + 0*i**2 - 1/10*i**5 + 3*i + w*i**3 + 0*i**4 + 0*i**6. Factor v(a).
a*(a - 1)**2*(a + 1)**2
Factor -2/7*l**4 + 0*l**3 + 0 + 2/7*l**2 + 0*l.
-2*l**2*(l - 1)*(l + 1)/7
Factor 0 + 9 + 15*d**2 - 15*d - 3*d**2 - 6*d.
3*(d - 1)*(4*d - 3)
Let x(g) be the first derivative of g**6/4 + 3*g**5/5 - g**3 - 3*g**2/4 + 5. Determine h, given that x(h) = 0.
-1, 0, 1
Let o(d) be the first derivative of -d**8/3360 + d**6/240 - d**5/120 + d**3/3 + 1. Let y(n) be the third derivative of o(n). Factor y(l).
-l*(l - 1)**2*(l + 2)/2
Factor -5/2*g + 25/4 + 1/4*g**2.
(g - 5)**2/4
Solve 6*b - 2*b**2 + 4 + 4*b**2 - 2*b**3 - 2*b**2 = 0.
-1, 2
Let b = 453/5 - 89. Solve 8/5*g + 2/5*g**2 + b = 0 for g.
-2
Suppose -150 = -0*r - 5*r. Suppose -4*s + 11 + 1 = 0, 5*s - r = -3*l. Factor 2/3*q**2 + 2/3*q**l + 0 + 2*q**3 + 0*q + 2*q**4.
2*q**2*(q + 1)**3/3
Suppose -6 = -2*w + 3*w. Let v(s) = s**2 + 7*s + 9. Let o be v(w). Let -4*a + o*a**2 - 2*a + 4*a - a**3 = 0. What is a?
0, 1, 2
Suppose 25 = 3*r + 4*m - 0*m, 2*m = 8. Factor -2/19*s + 14/19*s**r - 8/19*s**4 - 4/19*s**2 + 0.
-2*s*(s - 1)**2*(4*s + 1)/19
Determine n, given that 0 + 15/7*n**3 + 3/7*n**5 + 0*n - 12/7*n**4 - 6/7*n**2 = 0.
0, 1, 2
Let b(i) = -i + 1. Let d be b(-3). Suppose -2*f + 10 = -2*s, 2*s + 2*s = -12. Factor j**3 + 0*j - 1/2*j**f + 3/2*j**d + 0.
j**2*(j + 1)*(3*j - 1)/2
Let w be -1 + 40/8 + 13/(-4). Let a = 153/4 - 38. What is o in -1/2*o**3 + 1/2*o - o**2 + a + w*o**4 = 0?
-1, -1/3, 1
Let o(i) be the first derivative of 2*i**6/3 + 8*i**5/5 - 4*i**4 - 32*i**3/3 - 5. Suppose o(n) = 0. What is n?
-2, 0, 2
Let l(r) be the second derivative of -r**6/65 - r**5/65 + r**4/78 + 3*r. Find n, given that l(n) = 0.
-1, 0, 1/3
Let v(n) = n**5 - n**3 - n + 1. Let q(u) = 2*u**5 + u**4 - u**3 - 2*u**2 - 4*u + 4. Let f(w) = q(w) - 3*v(w). Factor f(k).
-(k - 1)**3*(k + 1)**2
Let y(k) = -k**2 - 4*k - 7. Let g(d) = d**2 + 7*d + 13. Let w(z) = 4*g(z) + 7*y(z). Find j, given that w(j) = 0.
-1, 1
Let p(q) be the third derivative of q**5/270 - q**4/108 - 4*q**2. Factor p(b).
2*b*(b - 1)/9
Let m(l) be the third derivative of 3*l**2 - 1/120*l**6 + 0*l**4 + 1/180*l**5 - 1/1008*l**8 + 0*l + 0*l**3 + 0 + 1/210*l**7. What is s in m(s) = 0?
0, 1
Let j(x) be the second derivative of x**5/100 - x**4/30 + 2*x. What is r in j(r) = 0?
0, 2
Let u(j) be the third derivative of 2*j**7/105 + 2*j**6/15 + 4*j**5/15 - 7*j**2. Factor u(q).
4*q**2*(q + 2)**2
Let l(u) = -u**5 - 6*u**3 - 4*u**2 + 7*u - 4. Let f(b) = -5*b - b + 3*b**3 + 9*b**2 + 3 - 6*b**2 + 3*b**3. Let k(i) = -4*f(i) - 3*l(i). Factor k(w).
3*w*(w - 1)**2*(w + 1)**2
Suppose -h + 3 + 5 = 0. Suppose 3*g - h = 2*i, 4*g + 5*i = 3*g - 3. Factor g*n - 4/3 - 2/3*n**2.
-2*(n - 2)*(n - 1)/3
Let r(k) be the third derivativ