g**2 - 147. Let d be x(0). Let z = d - -1031/7. Solve 0*j - 2/7 + z*j**2 = 0.
-1, 1
Suppose -2*o = -8, x - 4*o + 9 = -1. Let m be ((-4)/x - 1)*-3. Factor 6*i**3 + i**m + i - 4*i + 0*i**5 - 4*i**5.
-3*i*(i - 1)**2*(i + 1)**2
Let r(s) be the second derivative of -s**6/360 + s**5/60 + s**3/3 + s. Let p(w) be the second derivative of r(w). Suppose p(c) = 0. Calculate c.
0, 2
Suppose 4/5 - 2*s**5 + 4*s**3 - 2*s + 4/5*s**4 - 8/5*s**2 = 0. Calculate s.
-1, 2/5, 1
Factor 8/7*x**2 + 0 + 6/7*x**3 - 2/7*x**4 + 0*x.
-2*x**2*(x - 4)*(x + 1)/7
Let z(x) be the first derivative of -7*x**6/12 + 11*x**5/20 + 3*x**4/4 - 11*x**3/12 + x**2/4 - 13. Suppose z(f) = 0. What is f?
-1, 0, 2/7, 1/2, 1
Let d = 21 + -13. Let r(m) = 5*m - m**3 - d*m**2 - 4 - 3*m + 5*m**3. Let g(f) = -11*f**3 + 23*f**2 - 6*f + 11. Let c(o) = 6*g(o) + 17*r(o). Solve c(j) = 0.
-1, 1
Let m(a) = 13*a**3 + 2*a**2 - 11*a. Suppose 4*y + 1 + 3 = -5*w, 2*w = 3*y + 26. Let q(r) = -7*r**3 - r**2 + 6*r. Let v(p) = y*m(p) - 11*q(p). Factor v(i).
-i**2*(i + 1)
Let r = -426 + 1282/3. Solve -2/3*q**4 + 2/3*q**2 + 0 + r*q - 4/3*q**3 = 0.
-2, -1, 0, 1
Suppose x + 2 = 8. Solve 2*w**5 - w**3 - w**3 + w**2 + 5*w**3 - 5*w**4 - 7*w + x*w = 0.
-1/2, 0, 1
Let v be -9 - -7 - (-22)/8. Factor -3/4*j**2 + 0*j + 0*j**3 + 0 + v*j**4.
3*j**2*(j - 1)*(j + 1)/4
Let x(y) be the second derivative of y**8/3360 - y**7/420 + y**5/15 + y**4/3 - 3*y. Let z(v) be the third derivative of x(v). Determine u so that z(u) = 0.
-1, 2
Let j = -1 + 3. Factor 4*y**3 - 16 - y**3 - 9*y**j + 9*y + 13.
3*(y - 1)**3
Let c(b) be the third derivative of b**9/3024 - b**8/840 + b**6/180 - b**5/120 - b**3/2 + 2*b**2. Let f(j) be the first derivative of c(j). Factor f(a).
a*(a - 1)**3*(a + 1)
Let -6 + 13 + 38*x**2 + 20 - 18*x - 35*x**2 = 0. Calculate x.
3
Suppose -6*j**2 - 6*j**2 + 11*j + 28*j + 37 - 1 = 0. What is j?
-3/4, 4
Suppose 5*c - 36 = 4*d, 3*c = 2*d + 6 + 14. Determine i, given that -i**2 + 5*i - 2*i - c*i + 2 = 0.
-2, 1
Let z(j) be the second derivative of 0*j**2 + 1/6*j**3 - 1/72*j**6 - 2*j + 0*j**4 + 0 - 1/60*j**5. Let n(r) be the second derivative of z(r). Factor n(f).
-f*(5*f + 2)
Let h(i) = i**4 - 2*i**3 + 2*i**2 + 2*i + 2. Let a(f) = -3*f**3 + 3*f**2 + 3*f + 3. Let d(l) = 2*a(l) - 3*h(l). Let d(v) = 0. What is v?
0
Let v(o) be the second derivative of o**7/5040 + o**6/1440 + 7*o**4/12 - 6*o. Let w(u) be the third derivative of v(u). Suppose w(b) = 0. Calculate b.
-1, 0
Let i(t) be the third derivative of -t**6/60 - 3*t**5/5 - 8*t**4 - 128*t**3/3 - 17*t**2 + 2. Factor i(d).
-2*(d + 2)*(d + 8)**2
Let n(y) be the first derivative of y**4/2 - 4*y**3/3 - 25. What is a in n(a) = 0?
0, 2
Let c(l) be the third derivative of 4/9*l**3 - l**2 + 7/9*l**4 + 7/36*l**6 + 59/90*l**5 + 0 + 0*l. Find d, given that c(d) = 0.
-1, -2/5, -2/7
Suppose -2*m = m - 9. Determine c, given that -c**2 + 3 - 2 - c**m + c - c + c = 0.
-1, 1
Let u(v) be the first derivative of -v**4/4 - v**2/2 + 4. Let o be u(-1). Factor -1/2*a**o + 1/2 - 1/2*a**3 + 1/2*a.
-(a - 1)*(a + 1)**2/2
Suppose 3*a + 11 + 31 = 0. Let w be ((-2)/(-4))/((-1)/a). Let -2*m**3 + m + w*m**2 + m**5 - 7*m**2 = 0. What is m?
-1, 0, 1
Let q(r) be the second derivative of 27*r**9/2240 + 81*r**8/4480 + 3*r**7/280 + r**6/360 + 5*r**4/12 + r. Let b(z) be the third derivative of q(z). Factor b(v).
v*(9*v + 2)**3/4
Suppose -3*r - 4*c + 32 = 0, r - 6*r = -4*c. Suppose m - r*m + 45 = 0. Let -m*a - a**2 + 15*a = 0. Calculate a.
0
Let w(h) be the first derivative of -h**3/3 - h**2/2 + 2*h - 2. Factor w(g).
-(g - 1)*(g + 2)
Suppose -d = -2*b + 1, -b + 5 = -4*d + 15. Solve -3*i + 1 - i**3 - 2*i + 3*i**b + 2*i = 0.
1
Suppose 16*v**3 - 4*v**2 + 4 + 2*v**2 - 2*v**2 - 16*v + 0*v**2 = 0. What is v?
-1, 1/4, 1
Let h = -4 + 8. Suppose 6 = 3*c + h*w, 4*c = -c + 2*w + 10. Factor l**5 + 4*l**2 - 3*l**2 - 2*l**4 - l**4 - c*l**2 + 3*l**3.
l**2*(l - 1)**3
Let n = -86 - -89. Let g(x) be the first derivative of 0*x + 0*x**2 + 1/5*x**5 + 0*x**4 + 1/6*x**6 + 3 + 0*x**n. What is y in g(y) = 0?
-1, 0
Suppose -16 = -2*c + 4*u, -43 = -c - c - 5*u. Factor 2*j**5 + 0*j**5 - 23*j**2 - c*j**4 - 27*j**2 + 36*j**3 + 10*j**2 + 16*j.
2*j*(j - 2)**3*(j - 1)
Let i(z) be the second derivative of z**10/10080 - z**9/1680 + 3*z**8/2240 - z**7/840 + z**4/4 - 4*z. Let g(h) be the third derivative of i(h). Factor g(n).
3*n**2*(n - 1)**3
Let p(g) = g**2 - g - 1. Let y be p(2). Let l be y + 4 - (5 + -4). Suppose 5*i**5 - 3*i**2 - 4*i**5 + i**3 + 3*i**l - 2*i + 0*i**3 = 0. Calculate i.
-2, -1, 0, 1
Let d(b) be the first derivative of 2*b**5/35 + b**4/14 - 2*b**3/21 - b**2/7 - 6. Suppose d(i) = 0. What is i?
-1, 0, 1
Let o(p) be the first derivative of 0*p**2 + 0*p**3 + p + 4 - 1/18*p**4 + 1/30*p**5. Let d(t) be the first derivative of o(t). Determine z so that d(z) = 0.
0, 1
Let s(y) be the second derivative of 2*y**6/135 + y**5/18 - 4*y**4/27 - 17*y**3/27 - 2*y**2/3 + 16*y. Find p such that s(p) = 0.
-3, -1, -1/2, 2
Factor -2/3 - 4/3*g - 2/3*g**2.
-2*(g + 1)**2/3
Let q be 38/76*0/1. Let o(g) be the second derivative of 3*g + 0 - 1/60*g**5 + q*g**2 + 1/90*g**6 - 1/36*g**4 + 1/18*g**3. Solve o(f) = 0.
-1, 0, 1
Let a(o) be the first derivative of o**4/4 + 4*o**3 + 18*o**2 + 16. Suppose a(t) = 0. What is t?
-6, 0
Let k(d) be the second derivative of -3*d + 0 + 2/3*d**4 + 1/5*d**5 - 4*d**2 - 2/3*d**3. Factor k(a).
4*(a - 1)*(a + 1)*(a + 2)
Let a(c) = 18*c**5 - 21*c**4 + 3*c**2 + 6*c + 6. Let m(b) = -b**5 + b**3 - b - 1. Let t(y) = a(y) + 6*m(y). Find l, given that t(l) = 0.
-1/4, 0, 1
Suppose -13*q**2 + 32*q**2 - 3*q**4 - 3*q**3 - 16*q**2 + 3*q = 0. Calculate q.
-1, 0, 1
Let l(j) = -2*j + 10. Let m be l(-7). Let k be (32/m)/(14/3). Factor -2/7*i + k*i**2 + 0.
2*i*(i - 1)/7
Let m(k) = 15*k**2 + 3*k - 3. Let j(c) = -7*c**2 - 2*c + 1. Let a(h) = 9*j(h) + 4*m(h). Factor a(x).
-3*(x + 1)**2
Let x(s) be the second derivative of -s**4/30 - s**3/3 + 6*s**2/5 + 11*s. Factor x(b).
-2*(b - 1)*(b + 6)/5
Let i = -3 + 6. Factor 2/3*b**i - 10/3*b + 2 + 2/3*b**2.
2*(b - 1)**2*(b + 3)/3
Suppose 0 = -4*y - 3*m + 10 + 6, -2*y + m = -8. Factor -4*i + 5*i**2 - 15*i**2 - 8*i**3 - 4*i**4 + 2*i**y.
-2*i*(i + 1)**2*(i + 2)
Let j(v) = -2 - 1 - 3*v**2 + 16*v + 2*v**3 + v**2 - 8*v**2. Let n(l) = -2*l**3 + 10*l**2 - 16*l + 4. Let y(p) = -4*j(p) - 5*n(p). Factor y(b).
2*(b - 2)**2*(b - 1)
Find o, given that 1/2 + 1/8*o**2 - 1/2*o = 0.
2
Let u(k) = 2*k**2 + 2*k - 4 + 0*k - k**2 - k. Let h(n) = -5*n**2 - 5*n + 21. Let j(z) = -6*h(z) - 33*u(z). Find m, given that j(m) = 0.
-2, 1
Let k = -9 + 13. Let j = k - 0. Factor -3*i**4 - 1 - 4*i**4 + 4*i**4 + 2*i**2 + 2*i**j.
-(i - 1)**2*(i + 1)**2
Let f(x) be the first derivative of -x**4/20 + 4*x**3/15 - 2*x**2/5 + 11. Determine l, given that f(l) = 0.
0, 2
Let c = 19 + -17. Factor 9*w**c + 7*w + w**3 - 7*w**3 - w.
-3*w*(w - 2)*(2*w + 1)
Let a be ((-9)/((-2)/(-2)))/(-1). Let z be 2/a - (-34)/9. Find s, given that 2/5*s + 0 + 2/5*s**z - 2/5*s**3 - 2/5*s**2 = 0.
-1, 0, 1
Let g = 12 - 9. Suppose l = m - 2, 4*m + 4 = -g*l - 2. Find r, given that 1/2*r**5 + 0 - 1/2*r - r**4 + m*r**3 + r**2 = 0.
-1, 0, 1
Let j = 208/9 + -184/9. Let 5/3*x**3 + 2/3 - j*x**2 + 1/3*x = 0. Calculate x.
-2/5, 1
Let c be -4 + 2 - (-34 + 2). Determine h so that 8*h + c*h**2 + 6*h**4 - 26*h**3 - 16 + 3*h**2 - 5*h**2 = 0.
-2/3, 1, 2
Let w(m) be the first derivative of m**5/5 + m**4/14 - m**3/3 - m**2/7 - 1. Find k such that w(k) = 0.
-1, -2/7, 0, 1
Let s(y) be the first derivative of 6 + 3/2*y - 15/8*y**2 - 7/4*y**3. Factor s(v).
-3*(v + 1)*(7*v - 2)/4
Let u = -4 - -6. Suppose -u*b - b = 0. Suppose b*p - 4*p - 6*p**2 - 4*p**3 + 2*p = 0. Calculate p.
-1, -1/2, 0
Suppose 1/3*j - 1/3*j**2 + 2 = 0. What is j?
-2, 3
Let j(w) be the second derivative of 1/14*w**2 + 0 - 2/21*w**3 + 1/14*w**4 - 1/35*w**5 - 3*w + 1/210*w**6. Determine t, given that j(t) = 0.
1
Let l = 5 + 15. Suppose -k - 12 = 6*v - 3*v, k - 5*v - l = 0. Factor -m - 3*m**4 + k*m**4 - 3*m**3 + 4*m**4 + 3*m**2.
m*(m - 1)**3
Factor -50*a**2 - 2*a**3 + 7*a**3 + 60*a**2 + 5*a.
5*a*(a + 1)**2
Let j(x) be the first derivative of -x**6/6 - x**5 - 9*x**4/4 - 7*x**3/3 - x**2 + 14. Find i such that j(i) = 0.
-2, -1, 0
Solve 2/7*j**3 - 1/7*j**2 + 0 + 0*j - 1/7*j**4 = 0 for j.
0, 1
What is b in 75*b**3 + 7 - 38*b + 8*b - 78*b - 27*b