Solve m(s) = 0 for s.
-1, 1, 2
Let h be (-2)/(-11) + 42/132. Let h*y**2 + 0 + 1/4*y + 1/4*y**3 = 0. What is y?
-1, 0
Let n(j) be the first derivative of 3*j**4/16 - 5*j**3/4 + 3*j**2 - 3*j + 33. Let n(h) = 0. Calculate h.
1, 2
Let d = 650 + -3248/5. Suppose -8/5 - 8/5*v - d*v**2 = 0. Calculate v.
-2
Suppose 5*i = -12 + 32. Let -4*t + i*t + 0*t**2 - t**2 = 0. What is t?
0
Let p = 232/7 - 692/21. Let l(k) be the first derivative of -2 + p*k**3 + 0*k - 1/7*k**2 - 1/14*k**4. Factor l(z).
-2*z*(z - 1)**2/7
Let b be -1*6*(-1)/2. Factor -3*j**b + 4*j**3 - 3*j**3.
-2*j**3
Let q(z) = -8*z**2 - 20*z - 2. Let m(h) = -7*h**2 - 19*h - 1. Let k(i) = 4*m(i) - 6*q(i). Factor k(x).
4*(x + 2)*(5*x + 1)
Let o(b) be the first derivative of 2*b**3/15 - 3*b**2/5 - 8*b/5 + 2. Factor o(j).
2*(j - 4)*(j + 1)/5
Let q be 1 - ((-27)/3)/3. Suppose 0 = b + 1 - q. What is z in 2*z**3 - 7*z**3 - z**2 + 6*z**b = 0?
0, 1
Let g(s) be the second derivative of s**7/24 - 2*s**6/15 + s**5/20 + 7*s**4/24 - 11*s**3/24 + s**2/4 - 6*s. Solve g(d) = 0 for d.
-1, 2/7, 1
Let z(c) = 4*c**4 - 6*c**3 - 7*c**2 + 3*c - 3. Let k(f) = 16*f**4 - 25*f**3 - 29*f**2 + 12*f - 11. Let x(h) = -6*k(h) + 22*z(h). Factor x(j).
-2*j*(j - 3)*(j + 1)*(4*j - 1)
Let d be -5 - -4 - -3 - -2. Factor -x**2 - 3*x**2 - d*x**3 - 7*x + 7*x.
-4*x**2*(x + 1)
Let o be ((-7)/(-182))/(2/16). Let 6/13*x**3 - o*x**2 - 4/13 - 14/13*x = 0. What is x?
-1, -1/3, 2
Let f(h) be the second derivative of 0*h**2 - 3*h + 0*h**5 + 0 + 1/60*h**6 + 1/6*h**3 - 1/8*h**4. Suppose f(r) = 0. What is r?
-2, 0, 1
Solve 2*u**3 + 13 - u - 26 + 17 - 5*u = 0 for u.
-2, 1
Let j(v) be the second derivative of -2*v**2 + 0 + v**3 - 1/4*v**4 + 3*v + 1/40*v**5. Suppose j(d) = 0. Calculate d.
2
Let p(c) be the first derivative of -1/4*c**2 + 1/12*c**6 - 3 + 1/5*c**5 + 0*c**4 - 1/3*c**3 + 0*c. Factor p(o).
o*(o - 1)*(o + 1)**3/2
Let v(w) be the second derivative of -w**5/60 + w**4/12 + w**2 + 3*w. Let d(r) be the first derivative of v(r). Find q such that d(q) = 0.
0, 2
Let m(r) be the third derivative of -r**6/24 + 5*r**4/24 + 35*r**2. Factor m(x).
-5*x*(x - 1)*(x + 1)
Let z(n) be the third derivative of 5/1176*n**8 + 1/30*n**5 + 0 - 1/42*n**4 + 0*n + 2*n**2 + 0*n**3 - 1/105*n**7 - 1/140*n**6. Suppose z(o) = 0. What is o?
-1, 0, 2/5, 1
Let t be (8/(-30))/((-54)/45). Factor 0 + 4/9*b**2 - t*b**3 - 2/9*b.
-2*b*(b - 1)**2/9
Factor 3/2*w**3 - 3/2*w + 6*w**2 - 6.
3*(w - 1)*(w + 1)*(w + 4)/2
Let m = 23/2 + -11. Factor 0*b**2 + m*b**3 + 0*b + 0 + 1/2*b**4.
b**3*(b + 1)/2
Let c(j) = 4*j**4 - 44*j**3 + 729*j**2 - 5324*j + 14638. Let q(r) = -9*r**4 + 88*r**3 - 1459*r**2 + 10648*r - 29275. Let u(o) = 7*c(o) + 3*q(o). Factor u(s).
(s - 11)**4
Let g(f) be the first derivative of -f**3/18 + f**2/6 + 10. Factor g(k).
-k*(k - 2)/6
Factor 1/2*l**3 + 0*l + 0 - 2*l**2.
l**2*(l - 4)/2
Let k be 0*(10/4 + -3). Factor 18*a**4 + 3*a**2 + k*a**2 - a**3 + 5*a**2 + 25*a**3.
2*a**2*(3*a + 2)**2
Let m(w) = -8*w**3 - 2*w**2 + 2*w - 2. Let p(g) = -g**4 + 9*g**3 + g**2 - 3*g + 3. Let q(c) = -3*m(c) - 2*p(c). Find i, given that q(i) = 0.
-2, -1, 0
Let q(o) be the second derivative of o**8/26880 - o**6/2880 - o**4/4 - 2*o. Let n(g) be the third derivative of q(g). Factor n(p).
p*(p - 1)*(p + 1)/4
Let n(p) be the first derivative of -2*p**3/63 + 2*p/21 + 10. Factor n(v).
-2*(v - 1)*(v + 1)/21
Let h(t) = t**2 + 3*t. Let d be h(-3). Let o(a) be the third derivative of -1/36*a**3 + 0*a + 4*a**2 + d - 5/72*a**5 - 5/72*a**4. Factor o(n).
-(5*n + 1)**2/6
Let y be (4 - 1)*(14 + -13). Let i be 189/245 + y/7. Factor -1/5 - 4/5*n**3 - i*n**2 - 4/5*n - 1/5*n**4.
-(n + 1)**4/5
Let 1/2 - 1/6*c**2 + 1/3*c = 0. Calculate c.
-1, 3
Let y(q) be the second derivative of 3*q + 1/40*q**6 - 3/40*q**5 + 0*q**2 + 0*q**3 + 0 + 1/16*q**4. Let y(z) = 0. Calculate z.
0, 1
Let k be (9/12)/((-3)/5). Let p = -3/4 - k. Factor p*m**2 + 1/3 - 5/6*m.
(m - 1)*(3*m - 2)/6
Let h(g) = 3*g**2 - 6*g. Let c(v) = v. Suppose 0*o = -4*o + 12. Let l(w) = o*c(w) + h(w). Let l(a) = 0. Calculate a.
0, 1
Let u = 128 - 128. Solve u - 2/5*y**2 + 0*y - 2/5*y**3 = 0.
-1, 0
Let f(l) be the second derivative of -l**4/12 + l**3/2 + 2*l**2 + 25*l. Factor f(v).
-(v - 4)*(v + 1)
Let k(j) = j**3 - 6*j**2 + j - 3. Suppose i = -0*i + 6. Let v be k(i). Factor 0*n**2 - 4*n**v - 2*n**3 - 3*n**5 - n**2 - 7*n**4 + n**3.
-n**2*(n + 1)**2*(3*n + 1)
Suppose 0 = -2*q + 2, -3*j + 5*q = -7. Solve o**2 + 3*o**4 + o**j - 5*o**4 = 0.
-1, 0, 1
Let q be ((-3)/2)/(3/(-4)). Let d(m) = -m - 12. Let v be d(-12). Determine o so that 3*o - q*o + 2 - o**2 + v = 0.
-1, 2
Let i(p) = -6*p**2 - 4*p. Let k be (12/14)/(4/(-28)). Let y(b) = 7*b**2 + 5*b. Let f(c) = k*i(c) - 5*y(c). Suppose f(n) = 0. What is n?
0, 1
Let q = 2 - 6. Let w be (q/(3 + 5))/(-1). Let -1/2*r + 0 + r**2 - w*r**3 = 0. What is r?
0, 1
Let m(n) = n**4 + n**3 - n**2 + n - 1. Let d(p) = -2*p**5 + 4*p**4 + 8*p**3 - 4*p**2 + 10*p - 8. Let x(r) = d(r) - 8*m(r). Let x(j) = 0. What is j?
-1, 0, 1
Let u(m) = -2*m - 16. Let d be u(-8). Let p(n) be the first derivative of 1 + d*n + 1/18*n**3 - 1/12*n**2. Suppose p(c) = 0. What is c?
0, 1
Let s = -5 + 15. Factor 2*w**3 + 4*w**2 + 4*w**4 - 4*w**4 - s*w**3 + 4*w**4.
4*w**2*(w - 1)**2
Let m(h) be the second derivative of -h**7/105 - 4*h**6/75 - 3*h**5/25 - 2*h**4/15 - h**3/15 - h. Find s, given that m(s) = 0.
-1, 0
Let h be (-140)/(-12) - 6/9. Factor -12*a**4 + 12*a**2 + h*a**5 + 6*a**3 - 2 + 2 - 8*a**5 - 9*a.
3*a*(a - 3)*(a - 1)**2*(a + 1)
Let i = 192 - 192. Find f such that 1/2*f**3 + 0*f**2 + i - 1/2*f = 0.
-1, 0, 1
Let o be 0 + (-80)/(-15) + -4. Factor -2/3*z**2 - o - 2*z.
-2*(z + 1)*(z + 2)/3
Let s be 8 + 3*4/(-3). Let r(b) be the first derivative of 0*b**2 - 1/4*b + 0*b**s + 1/6*b**3 - 1/20*b**5 - 2. Solve r(i) = 0 for i.
-1, 1
Suppose 20 = 4*o - 3*h - h, -o - 3*h - 7 = 0. Suppose 0 = -n - o + 5. What is f in 6/7*f**2 - 4/7*f + 0 - 2/7*f**n = 0?
0, 1, 2
Let r be 7*(8/(-7))/(-4). Let b(x) = 2*x - 3. Let y be b(2). Find g such that 0*g**3 + 2*g**r + g + y - g**3 - 3 = 0.
-1, 1, 2
Let p be 4 + ((-34)/26)/((-5)/(-15)). Let l(n) be the second derivative of -1/130*n**5 + 3*n + p*n**2 + 1/26*n**4 + 0 - 1/13*n**3. Factor l(q).
-2*(q - 1)**3/13
Suppose -3*m + 5*g + 34 = 0, g = 5*m - 13 - 7. Factor -3*r**2 - 9*r + 7*r**m - r**4 + r**4 + 6 - 3*r**4 + 2*r**3.
-3*(r - 2)*(r - 1)**2*(r + 1)
Let s(a) be the second derivative of a**7/63 + 7*a**6/45 + 19*a**5/30 + 25*a**4/18 + 16*a**3/9 + 4*a**2/3 + 5*a. Find h such that s(h) = 0.
-2, -1
Suppose -10 = -0*r + 5*r. Let c = r + 5. Find h such that -3*h + 3*h + 2*h**2 + h**c = 0.
-2, 0
Factor -72*s + 4*s**3 - 48 - 27*s**2 + s**3 - 6*s**3 - 2*s**3.
-3*(s + 1)*(s + 4)**2
Let v be 4/(-10) + (-468)/(-870). Let h = v + 154/145. Factor 2/5*u**3 - 2/5 - h*u**2 + 6/5*u.
2*(u - 1)**3/5
Let y(v) be the second derivative of 0*v**5 + 1/15*v**6 - v + 0 + 0*v**2 - 1/2*v**4 - 2/3*v**3. Factor y(z).
2*z*(z - 2)*(z + 1)**2
Determine c, given that 0*c**4 + 0 - 5/3*c**5 + 0*c + 0*c**2 + 20/3*c**3 = 0.
-2, 0, 2
Let j(b) be the first derivative of -b**4/4 + b**3 - 3*b**2/2 + b - 19. Factor j(k).
-(k - 1)**3
Let i(y) be the second derivative of 9*y**5/5 + 16*y**4 + 104*y**3/3 + 32*y**2 + 22*y. Solve i(u) = 0 for u.
-4, -2/3
Let y(a) be the second derivative of 0*a**3 - 1/35*a**7 - 1/50*a**5 + 0*a**2 - 1/30*a**4 + 1/15*a**6 + 0 - a. Find h, given that y(h) = 0.
-1/3, 0, 1
Let t = -2 + 1. Let d(j) = -j - 1. Suppose 7*o + 6 = 9*o. Let n(f) = -f**2 - 5*f - 4. Let a(b) = o*d(b) + t*n(b). Factor a(w).
(w + 1)**2
Let l(d) = d**2 + 1. Let f(g) = 4*g**2 + 5. Let a(r) = -3*f(r) + 15*l(r). Find k, given that a(k) = 0.
0
Let 3/4*o**4 + 9/2*o**2 - 3*o**3 + 3/4 - 3*o = 0. What is o?
1
Let x(l) = l + 1. Let v(b) = 4*b**4 - 8*b**3 + 12*b. Let g(o) = v(o) - 4*x(o). Factor g(p).
4*(p - 1)**3*(p + 1)
Let o = -847 + 849. Factor -8/3*t - 4/3*t**o + 4.
-4*(t - 1)*(t + 3)/3
Let g(x) be the third derivative of x**5/120 + x**4/12 + x**3/3 + x**2. Factor g(l).
(l + 2)**2/2
Let k(b) be the second derivative of 1/5*b**5 - 2*b - b**3 + 0 + 1/2*b**4 - 2*b**2. Factor k(q).
2*(q - 1)*(q + 2)*(2*q + 1)
Let q be (-11 - -11)*2/6. Factor 2*i**2 - 3*i + i**2 + q*i**2.
3*i*(i - 1)
Let h(q) = 4*q. Let p be h(4). Factor 7*w**4 - 10 + 4*w**2 + 10 + p*w**3.
w**2*(w + 2)*(7*w + 2)
Let b be 16 - -