/14 - (-6)/(-21). Let d = r - 5. Suppose 0 - 1/2*y**d + 3/2*y**3 - 3/2*y**2 + 1/2*y = 0. What is y?
0, 1
Let j(y) be the second derivative of y**7/1260 - y**6/360 + y**4/12 + 3*y. Let u(z) be the third derivative of j(z). Factor u(q).
2*q*(q - 1)
Let o(m) be the third derivative of -m**7/210 - m**6/48 + m**5/40 - m**2 - 1. Factor o(n).
-n**2*(n + 3)*(2*n - 1)/2
Let z(o) be the third derivative of -o**6/480 + 7*o**5/120 - 49*o**4/96 - 13*o**2. Find p, given that z(p) = 0.
0, 7
Let c(j) = j**3 - j**2 - 3*j - 3. Let q be c(-3). Let x be q/(-8) - (-4 + 6). What is u in 0 - x*u**2 + 1/2*u + 5/4*u**3 = 0?
0, 2/5, 1
Let n = -2/29 - -53/348. Let j(a) be the second derivative of -a - 2*a**2 - n*a**4 - 2/3*a**3 + 0. Factor j(p).
-(p + 2)**2
Suppose -4*y + 4 = 0, -4*a + 5*a + 2*y = 7. Factor 3/2*d**3 - 3/4*d + 0*d**2 + 0 + 0*d**4 - 3/4*d**a.
-3*d*(d - 1)**2*(d + 1)**2/4
Let j(c) be the first derivative of 1 + 0*c**2 + 1/5*c**5 + 0*c - 1/4*c**4 + 0*c**3. Find w such that j(w) = 0.
0, 1
Let o(q) = q**2 + 5*q - 1. Let v be o(-6). Suppose -v*g = z - 19, 4*g + 4*z - 14 - 14 = 0. Factor 2/9*m**g + 0*m + 0 - 2/9*m**2.
2*m**2*(m - 1)/9
Let r(c) = c**3 + 6*c**2 + 6. Let d be r(-6). Suppose -2*a + 5*a - d = 0. Factor 3*h + h**a + 1 - 3*h + 2*h.
(h + 1)**2
Let p be (-16)/(-6)*66/44. Factor 2/5*b**3 - 1/5*b - 1/5*b**5 - 2/5*b**2 + 1/5*b**p + 1/5.
-(b - 1)**3*(b + 1)**2/5
Let l(q) be the first derivative of 9/4*q**4 - 2 + 3/5*q**5 + 3*q**3 + 3/2*q**2 + 0*q. Determine p so that l(p) = 0.
-1, 0
Suppose 3*h - 2*h + 5 = 2*v, -11 = 3*h - 5*v. Let n be -1 + (1 - 1) + h. Factor 0*w - 2*w - w**2 + 3*w**n.
2*w*(w - 1)
Let s(u) be the third derivative of 1/12*u**4 + 0*u - 3*u**2 + 1/15*u**5 + 0 - 1/3*u**3. Find q such that s(q) = 0.
-1, 1/2
Factor 4/7*j**2 + 0 + 0*j**3 - 2/7*j**5 - 4/7*j**4 + 2/7*j.
-2*j*(j - 1)*(j + 1)**3/7
Factor 4*p - 6*p + 2*p**2 + 0*p.
2*p*(p - 1)
Let o(m) = m**5 + 3*m**4 + 4*m**3 - 7*m**2 - 1. Let u(z) = z**3 - 1. Let k(p) = -o(p) + 5*u(p). Find w, given that k(w) = 0.
-2, -1, 1
Let i(q) = -q**3 - q**2 + 1. Let v(b) = -7*b**3 - b**2 + 6. Let h(t) = 6*i(t) - v(t). Factor h(x).
x**2*(x - 5)
Let l = 46 - 46. Let t(k) be the third derivative of 1/6*k**3 + 0*k + l*k**4 - 1/60*k**5 - 2*k**2 + 0. Factor t(q).
-(q - 1)*(q + 1)
Determine v so that -22 - 30*v - 13 - 25*v**2 - 35*v + 5*v**3 = 0.
-1, 7
Let u = 4 - 2. Let w be (6 - 3)*(-10)/(-6). Suppose 6*h**3 + u*h - 3*h**3 - w*h - 3 - 3*h**2 + 6*h**2 = 0. What is h?
-1, 1
Let w(l) = 9*l**3 + 108*l**2 - 240*l + 123. Let g(j) = 2*j**3 + 27*j**2 - 60*j + 31. Let q(z) = 21*g(z) - 5*w(z). Factor q(u).
-3*(u - 6)*(u - 2)*(u - 1)
Let b be 2*6*4/16. Determine x so that -3*x + 4*x + 2*x**3 - b*x = 0.
-1, 0, 1
Let f = -7 - -7. Let t = f - -2. Find l such that -5/2*l**t + 5/2*l**3 + 1/4*l**5 + 5/4*l - 1/4 - 5/4*l**4 = 0.
1
Solve 11*n**3 - 4*n**4 - 20*n**2 - n**3 + 6*n**3 + 8*n + 0*n**3 = 0 for n.
0, 1, 2
Determine b, given that 0*b + b**3 + 0 + 1/2*b**2 = 0.
-1/2, 0
Let y(d) be the first derivative of d**4/34 + 10*d**3/51 - 26. Solve y(h) = 0 for h.
-5, 0
Let c = 124 + -124. Let b(q) be the second derivative of 14/3*q**6 + 4/3*q**3 - 10/3*q**4 - 3/10*q**5 + 2*q + 7/3*q**7 + 0 + c*q**2. Factor b(h).
2*h*(h + 1)**2*(7*h - 2)**2
Let l = 9 + -7. Factor 3 + 6*w - 3*w**l - 3 - 3*w.
-3*w*(w - 1)
Let w(p) be the third derivative of p**5/20 - 3*p**4/8 - 2*p**3 - 13*p**2. Suppose w(x) = 0. What is x?
-1, 4
Let d = 229 - 226. Let 1/3*i**d - 4*i**4 + 0 + 1/3*i**2 + 0*i = 0. Calculate i.
-1/4, 0, 1/3
Let d(c) be the first derivative of -1/3*c - 1 + 1/15*c**5 - 1/6*c**4 + 0*c**3 + 1/3*c**2. Suppose d(x) = 0. What is x?
-1, 1
Factor -2*d**3 + 7*d**2 - 8*d**2 - d**2.
-2*d**2*(d + 1)
Suppose 3 + 1 = 4*b. Let z = 1 + b. Factor -z*t**3 - t**3 - 2*t**3 + 2*t - 3*t**2.
-t*(t + 1)*(5*t - 2)
Suppose 3 = 4*o - c, -6*o + 12 = -5*o - 4*c. Let k(g) be the first derivative of -1/6*g**3 - 1/8*g**4 - 2 + o*g + 1/2*g**2. Find y, given that k(y) = 0.
-2, 0, 1
Let y = 51 + -35. Let z be 5/4 + 12/y. Factor -2*v**2 - z*v + 2*v**4 + 3*v**4 + 2*v - 3*v**3.
v**2*(v - 1)*(5*v + 2)
Let z(g) = -g**3 - 10*g**2 - 7*g - 8. Let j(p) = -p**2 - 1. Let h be 15/(1*12/(-8)). Let k(b) = h*j(b) + 2*z(b). Solve k(t) = 0.
-3, -1
Let d(w) be the first derivative of 0*w + 0*w**2 - 1 + 3/4*w**4 - w**3. Factor d(i).
3*i**2*(i - 1)
Suppose -7 = 3*z + 4*q - 5, 2 = 5*z + 4*q. Factor 0*k + 1/4*k**z + 0.
k**2/4
Let d = 45 + -404/9. Let l(t) be the first derivative of 1 + d*t**3 - 1/12*t**4 + 1/6*t**2 + 0*t - 1/15*t**5. Solve l(a) = 0.
-1, 0, 1
Let p(v) be the first derivative of 8*v**5/25 - 11*v**4/10 + 2*v**3/3 + 2*v**2/5 + 1. Solve p(n) = 0 for n.
-1/4, 0, 1, 2
Let l(t) be the first derivative of 6*t**5/5 + 9*t**4/4 + t**3 - 24. Determine b so that l(b) = 0.
-1, -1/2, 0
Let d = -12 + 18. Solve -2*r - 16*r**3 - 18*r**2 - 4 - 289*r**4 + 285*r**4 - d*r**2 - 14*r = 0 for r.
-1
Let h(r) be the third derivative of -9*r**8/224 - 37*r**7/70 - 29*r**6/10 - 42*r**5/5 - 13*r**4 - 8*r**3 + 54*r**2. Factor h(m).
-3*(m + 2)**4*(9*m + 2)/2
Let w(c) = -c**3 + 2*c + 1. Let l be w(-2). Factor 5*o**2 - l*o**2 - o**4 - o**3 + 0*o**2.
-o**3*(o + 1)
Let m(j) = j**2 - 5*j. Let o(g) = -2*g**2 + 11*g + 1. Let u(d) = -5*m(d) - 2*o(d). Factor u(i).
-(i - 2)*(i - 1)
Let w(g) be the second derivative of -g**4/6 - g**3 - 10*g. Factor w(y).
-2*y*(y + 3)
Let v(r) be the second derivative of -1/18*r**4 + 0 + 5*r + 1/3*r**2 + 0*r**3. Determine g so that v(g) = 0.
-1, 1
Factor q - q**3 + 1/2*q**4 + 0*q**2 - 1/2.
(q - 1)**3*(q + 1)/2
Factor -102/7*h**3 + 33/7*h**4 - 87/7*h - 3/7*h**5 + 138/7*h**2 + 3.
-3*(h - 7)*(h - 1)**4/7
Solve a**5 + 3*a**4 - a - 2*a**2 + a**5 - a**4 - a**5 = 0.
-1, 0, 1
Let v(z) be the second derivative of z**4/120 - z**3/6 + 5*z**2/4 - 12*z. Factor v(f).
(f - 5)**2/10
Let a(o) be the third derivative of o**6/240 + o**5/120 - 2*o**2. Suppose a(i) = 0. What is i?
-1, 0
Let a(i) = -i**3 - i**2 - i. Let k(f) = -15*f**4 + 26*f**3 + 51*f**2 - 99*f + 40. Let y(r) = a(r) + k(r). What is l in y(l) = 0?
-2, 2/3, 1, 2
Let f(g) = g**5 - g**4 - g**3. Let y(a) = -7*a**5 + 5*a**4 + 6*a**3 + 6*a**2 + a - 3. Let i(r) = 40*f(r) + 5*y(r). Find d, given that i(d) = 0.
-1, 1, 3
Suppose -7*t - t + 24 = 0. Suppose 2*z - 15 = -4*v + 7, t*v = 4*z - 11. Let 0 + 3*f - 3/2*f**v + 3/2*f**2 = 0. Calculate f.
-1, 0, 2
Find r, given that 1/2 - r**4 - 5/4*r + r**3 + 1/2*r**2 + 1/4*r**5 = 0.
-1, 1, 2
Let y(r) = -r**2 - 2*r + 17. Let n be y(-5). Let u(z) be the third derivative of 0 + 1/18*z**4 + 1/30*z**5 + 1/180*z**6 - n*z**2 + 0*z**3 + 0*z. Solve u(a) = 0.
-2, -1, 0
Suppose 2*p = 5*p + g - 26, 3*p = -4*g + 14. Factor 6*x - 237*x**3 + p + 8 + 239*x**3 - 10*x**2.
2*(x - 3)**2*(x + 1)
Let f be (-1 - -3)*(-18)/(-12). Suppose 0*u + 0 + 2/5*u**4 - 2/5*u**2 - 2/5*u**5 + 2/5*u**f = 0. What is u?
-1, 0, 1
Suppose 20 = -4*r + 3*h + h, 4*r = 2*h - 24. Let q(b) = -b - 7. Let i be q(r). Solve 0 + 0*f**3 + i*f + 0*f**2 + 2/7*f**4 = 0.
0
Let p be (0 - 1) + (4 + -5)*-3. Find m such that -2/5*m**p + 2/5*m**3 + 0 + 0*m = 0.
0, 1
Let t be (-2)/4*2 - -3. Suppose l - 3*l**t - l + 2 + l**2 = 0. What is l?
-1, 1
Let k(q) be the second derivative of -5/33*q**3 + 1/33*q**4 + 6*q + 1/22*q**5 + 0 - 2/11*q**2. Factor k(l).
2*(l - 1)*(l + 1)*(5*l + 2)/11
Let t(q) = q**3 + 7*q**2 - 2*q - 3. Let z be t(-6). Let p = z - 222/5. Solve 4/5 + 1/5*b**3 + 0*b - p*b**2 = 0 for b.
-1, 2
Let g be (-23)/(-18) + (50/45)/5. What is d in 27/4*d**4 - 27/4*d**2 + 21/4*d**5 - 15/4*d**3 - g*d + 0 = 0?
-1, -2/7, 0, 1
Let z(d) = -2*d**3 + 6*d**2 + 2*d - 6 - 1 + 5*d**3 - 2*d**3. Let p be z(-5). Factor p*h**3 + 6*h**3 - h - 13*h**3.
h*(h - 1)*(h + 1)
Let z be 2/(0 - (-3 - -2)). Let q be (-1)/z - 15/(-6). Let -3/4*j**5 + q*j**4 - 3/2*j**2 - 1/2 - j**3 + 7/4*j = 0. What is j?
-1, 2/3, 1
Factor 2/5*z**2 + 0 + 2/5*z**4 + 4/5*z**3 + 0*z.
2*z**2*(z + 1)**2/5
Let a(d) be the second derivative of -d**6/40 - d**5/5 - 5*d**4/8 - d**3 + 2*d**2 - 3*d. Let i(f) be the first derivative of a(f). Factor i(t).
-3*(t + 1)**2*(t + 2)
Let g(i) = -5*i**2 + 12*i. Let s(k) = -k. Let o(d) = -g(d) + 3*s(d). Determine v so that o(v) = 0.
0, 3
Let h = 5 + -2. Suppose -27 + 31 - h*c + c**2 + 3*c**2 + 11*c = 0. What is c?
-1
Let f(r) = -6*r**3 + 18*r**2 - 7*r + 1. Let z(p) = -11*p**3 + 37*p**2 - 14*p + 2