 22*y(j). Factor p(a).
-2*a**2*(4*a - 5)
Let -16*i - 4*i**5 - 16*i**2 + 3*i**3 - 3*i**5 + 8*i**4 + 3*i**5 + 9*i**3 = 0. What is i?
-1, 0, 2
Let a(r) = -r**3 - 4*r**2 - 2*r - 6. Let m be a(-4). Find g, given that 2/7*g**3 - 2/7 - 6/7*g**m + 6/7*g = 0.
1
Let k be 6/(-12)*(-5 - 1). Let c(f) be the first derivative of 1/2*f**4 + 1 + f**k + f**2 + 1/10*f**5 + 1/2*f. What is t in c(t) = 0?
-1
Let g = 11 - 14. Let j be ((-2)/18)/(1/g). Let 1/3*f**2 + 0 + 1/3*f**5 - j*f**4 - f**3 + 2/3*f = 0. Calculate f.
-1, 0, 1, 2
Let r(s) be the second derivative of 2/5*s**2 + 0 + 1/15*s**3 - 1/30*s**4 + 3*s. Suppose r(m) = 0. Calculate m.
-1, 2
Let v(q) = -2*q - 18. Let n be v(-9). Let j(g) be the third derivative of -1/36*g**4 + 0 - 1/180*g**5 + n*g - 1/18*g**3 + 2*g**2. Factor j(a).
-(a + 1)**2/3
Let f(q) = q**3 + q**2 - q + 1. Let l(i) = 3*i**3 + 4*i**2 - 3*i + 5. Let y(o) = o**2 - 3*o - 10. Let n be y(7). Let p(b) = n*f(b) - 4*l(b). Factor p(z).
2*(z - 1)*(z + 1)*(3*z + 1)
Let o(p) be the third derivative of -p**8/3360 - p**7/630 - 5*p**4/24 - 6*p**2. Let v(m) be the second derivative of o(m). Find t such that v(t) = 0.
-2, 0
Factor 3/2*u + 1 + 1/2*u**2.
(u + 1)*(u + 2)/2
Factor 0 + 0*q - 5/2*q**2.
-5*q**2/2
Let -72/7*t + 0 - 24/7*t**2 - 2/7*t**3 = 0. Calculate t.
-6, 0
Let s(y) be the third derivative of -1/1440*y**6 + 1/2*y**3 - 3*y**2 - 1/96*y**4 - 1/240*y**5 + 0 + 0*y. Let n(x) be the first derivative of s(x). Factor n(h).
-(h + 1)**2/4
Let n = -1299 - -1302. Factor 0*a + 0*a**2 + 0 + 2/5*a**5 + 0*a**n - 2/5*a**4.
2*a**4*(a - 1)/5
Let o(g) be the second derivative of g**7/168 - g**6/20 + 7*g**5/40 - g**4/3 + 3*g**3/8 - g**2/4 - 7*g. Factor o(y).
(y - 2)*(y - 1)**4/4
Factor -11/3*a + 1/3*a**2 + 10/3.
(a - 10)*(a - 1)/3
Let x(r) be the third derivative of r**8/1176 - r**7/245 - r**6/420 + 11*r**5/210 - r**4/7 + 4*r**3/21 - 30*r**2. Factor x(q).
2*(q - 2)*(q - 1)**3*(q + 2)/7
Suppose -2*m + 16 = 5*r + 17, 4*r = -2*m. Factor 5/4*h**m - 3/4*h - 1/2.
(h - 1)*(5*h + 2)/4
Let y be 2/4 - 1/2. Let j(c) be the second derivative of y + 1/5*c**2 + 2*c + 1/75*c**6 + 4/15*c**3 + 1/5*c**4 + 2/25*c**5. Find t, given that j(t) = 0.
-1
Let n(v) be the second derivative of v**6/75 + 3*v**5/50 + v**4/10 + v**3/15 + 10*v - 3. Solve n(x) = 0 for x.
-1, 0
Let n(c) be the second derivative of c**7/315 - c**6/120 + c**5/180 + 2*c**2 - 5*c. Let x(t) be the first derivative of n(t). Solve x(j) = 0 for j.
0, 1/2, 1
Let w be (-376)/48 + 8 - 17/(-6). Find b, given that 44*b - 7/2*b**4 + 1/4*b**5 - 43*b**2 + 73/4*b**w - 16 = 0.
1, 4
Let s(q) be the first derivative of -2/7*q**2 - 11/21*q**3 - 2 - 1/10*q**5 - 8/21*q**4 - 2*q. Let v(f) be the first derivative of s(f). Factor v(y).
-2*(y + 1)**2*(7*y + 2)/7
Suppose -5*v + 5*h = -0 - 5, 3*v - 5*h = -5. Solve 6*j**5 + 4*j**2 + 0*j**5 - 3*j - 4*j**v + j - 4*j**4 = 0.
-1, 0, 1
Determine v, given that -6*v - 2 + 7*v**2 - 7*v**2 + 6*v**4 + 2*v**5 - 4*v**2 + 4*v**3 = 0.
-1, 1
Let o(v) be the second derivative of -v**7/210 - v**6/60 - v**5/60 - 3*v**2/2 + v. Let c(w) be the first derivative of o(w). Factor c(j).
-j**2*(j + 1)**2
Let h = -27/8 + 213/56. Factor 0 + h*l**2 + 3/7*l.
3*l*(l + 1)/7
Let j(q) be the third derivative of q**6/360 + q**5/90 - q**4/72 - q**3/9 + 7*q**2. Let j(k) = 0. Calculate k.
-2, -1, 1
Let a be (-19)/(-7) + 4/14. Factor 6*j**2 - j**2 + 2*j - 9*j**3 + j**a + j**3.
-j*(j - 1)*(7*j + 2)
Suppose 0 = -3*d + 13 - 4. Suppose 2 - 1 + d - 3*i**2 + 0 - 4*i = 0. Calculate i.
-2, 2/3
Let l be (-3)/(27/39)*3. Let f = -9 - l. Factor -6*j**3 + 0*j**f + 4*j**3 + 2*j**4.
2*j**3*(j - 1)
Let h(n) be the second derivative of n**6/600 + n**5/75 + n**4/30 - 2*n**2 + n. Let c(g) be the first derivative of h(g). Suppose c(s) = 0. What is s?
-2, 0
Let d(r) = -9*r - 3. Let h(a) = a**2 - 17*a - 8. Let c(l) = 5*d(l) - 3*h(l). Factor c(x).
-3*(x - 3)*(x + 1)
Let o(c) be the first derivative of c**8/168 + c**7/105 - c**6/20 - c**5/30 + c**4/6 + 2*c**2 - 3. Let w(s) be the second derivative of o(s). Factor w(i).
2*i*(i - 1)**2*(i + 1)*(i + 2)
Let a(h) be the second derivative of h**6/10 - 3*h**5/10 - h**4 + h**3 + 9*h**2/2 + 5*h. Factor a(o).
3*(o - 3)*(o - 1)*(o + 1)**2
Let h be (8/72)/((-2)/(-12)). Let s(r) be the first derivative of 2/3*r**6 + 0*r**2 + 0*r**4 + 0*r + 2 - h*r**3 + 6/5*r**5. Factor s(g).
2*g**2*(g + 1)**2*(2*g - 1)
Let d(x) be the second derivative of -14*x**5/5 + 43*x**4/6 - 17*x**3/3 + 2*x**2 - 2*x. Find z, given that d(z) = 0.
1/4, 2/7, 1
Suppose 5*k + 47 = 4*g, 2*g + 3*g + k - 95 = 0. Factor v**2 + 3*v - 9*v + v**2 + g - 6*v.
2*(v - 3)**2
Let l(d) be the third derivative of d**7/315 - d**5/90 + 6*d**2. Solve l(o) = 0 for o.
-1, 0, 1
Factor 1/2*t + 0 + 1/4*t**2 - 1/4*t**3.
-t*(t - 2)*(t + 1)/4
Let j = 27 - 19. Factor -2*x**2 - 8 + 6*x**2 + 3 + j*x - 7.
4*(x - 1)*(x + 3)
Let i(g) be the second derivative of -g**3/2 + 5*g**2/2 + 3*g. Let b be i(-5). Factor -6*v**4 + 6*v**5 - 3*v**3 - 6*v**2 + 9*v**3 + b*v**4 - 4*v.
2*v*(v + 1)**3*(3*v - 2)
Let f(i) be the second derivative of i**6/120 + i**5/80 - i**4/48 - i**3/24 - 25*i. Determine m so that f(m) = 0.
-1, 0, 1
Let m(s) be the third derivative of -s**8/4480 + s**6/480 + s**4/12 - s**2. Let k(p) be the second derivative of m(p). Factor k(n).
-3*n*(n - 1)*(n + 1)/2
Let u(y) = y + 14. Let h be u(-10). Suppose -5 = -5*w + 3*l, l = 4*w - l - 6. Factor w*v**4 + 0*v**4 - 3*v**h.
v**4
Solve 2*q**2 + 121*q - 4*q**3 - 120*q + 3*q**3 - 2 = 0.
-1, 1, 2
Let y(n) be the second derivative of 81*n**6/40 - 27*n**5/20 + n**4/4 - 11*n. Factor y(b).
3*b**2*(9*b - 2)**2/4
Suppose 0 = -0*i - 2*i. Factor -h**2 + i*h**2 + 3*h**2.
2*h**2
Let v(r) = -1 + 3*r**2 - 4*r**2 - 4*r**4 + 3*r**3 + 0. Let c(h) = 7*h**4 - 5*h**3 + h**2 + 2. Let y(m) = -3*c(m) - 5*v(m). Find t such that y(t) = 0.
-1, 1
Let l be 6 - (7 + 3) - 16/(-2). Suppose -2*a - 2*i = -8, -4*a - 4*i + 10 = -3*i. Factor 0*z**a + 0 + 1/4*z**5 + 0*z**l + 0*z**3 + 0*z.
z**5/4
Let d(o) = 4*o + 27. Let n be d(-6). Suppose -3/2*t**2 + 3/2*t**n + 0 + 1/2*t - 1/2*t**4 = 0. Calculate t.
0, 1
Let -11*z**2 - 6*z**3 - 9 + 6*z + z**4 + 17*z**2 + 2*z**2 = 0. What is z?
-1, 1, 3
Let c = -7 + 12. Solve -4*h**2 + 3*h - 3*h**c - 2*h**2 + 0*h + 6*h**4 = 0 for h.
-1, 0, 1
Let f(m) be the second derivative of 3*m**2 + 3/2*m**3 + 0 - 3/20*m**5 + 0*m**4 + m. Let f(z) = 0. What is z?
-1, 2
Let h(m) be the third derivative of m**2 + 1/210*m**6 + 0 + 0*m + 1/21*m**3 - 1/735*m**7 + 0*m**5 - 1/42*m**4. Solve h(y) = 0 for y.
-1, 1
Let x(k) be the first derivative of -2/5*k - 2/15*k**3 - 2/5*k**2 + 2. Find m such that x(m) = 0.
-1
Let b(l) be the third derivative of 0*l - 1/108*l**4 + 1/270*l**5 - 2/27*l**3 + 0 - 8*l**2. Suppose b(u) = 0. Calculate u.
-1, 2
Let i(h) be the first derivative of 5*h**4/2 + 25*h**3/3 - 55*h**2/2 + 20*h - 19. Suppose i(w) = 0. What is w?
-4, 1/2, 1
Factor 0 + 3/4*h**4 + 9/4*h**2 + 9/4*h**3 + 3/4*h.
3*h*(h + 1)**3/4
Let d(o) be the second derivative of 0*o**2 + 0*o**6 + 0*o**4 + 1/9*o**3 - 2*o - 1/15*o**5 + 1/63*o**7 + 0. Factor d(k).
2*k*(k - 1)**2*(k + 1)**2/3
Let 3*b**4 + b**3 + 9*b**3 - 14*b + 2*b - b**3 = 0. Calculate b.
-2, 0, 1
Suppose p - 1 = 2. Let v(d) = 7. Let b(x) = 20. Let g(t) = 6*b(t) - 17*v(t). Let k(j) = j**2 - 2*j - 2. Let r(z) = p*g(z) + k(z). Find n, given that r(n) = 0.
1
Let q(j) be the third derivative of -j**7/1050 - j**6/150 - j**5/75 + 2*j**2. Solve q(b) = 0 for b.
-2, 0
Let p(s) be the third derivative of 1/6*s**3 + 0*s - 1/60*s**5 + 1/120*s**6 + 0 - 2*s**2 - 1/24*s**4. Find c, given that p(c) = 0.
-1, 1
Let r(s) be the first derivative of 2*s**5/15 + s**4/2 + 41. Factor r(t).
2*t**3*(t + 3)/3
Let n(g) = g**4 - 2*g**3 - g**2 + 6*g + 4. Let p(u) = u**4 - u**2 + u + 1. Let k(x) = 3*n(x) - 12*p(x). Suppose k(b) = 0. Calculate b.
-1, -2/3, 0, 1
Suppose -13*o = -11*o. Let -4/9*k**3 + 0*k + o - 2/9*k**2 - 8/9*k**5 + 14/9*k**4 = 0. Calculate k.
-1/4, 0, 1
Suppose -8*q + 6 = -10*q. Let t(s) = -6*s**3 + 3*s**2 + 4*s + 5. Let v(n) = n**3 - n**2 - n - 1. Let f(b) = q*t(b) - 15*v(b). Find x, given that f(x) = 0.
-1, 0
Let t = 250 + -1746/7. Find o, given that 0 + 10/7*o**2 + t*o = 0.
-2/5, 0
Let g = -177 + 179. Factor -2/7*b**4 + 2/7*b - 4/7*b**3 - 2/7 + 4/7*b**g + 2/7*b**5.
2*(b - 1)**3*(b + 1)**2/7
Suppose 6*o - 15 = 3*o. Let h(j) b