-1/3, 0, 2/7, 1
Find i such that 0 + 1/6*i - 1/6*i**4 + 1/2*i**3 - 1/2*i**2 = 0.
0, 1
Let 8/7*l**2 - 4/7 + 2/7*l**5 - 4/7*l**3 + 2/7*l - 4/7*l**4 = 0. What is l?
-1, 1, 2
Let m(z) be the first derivative of -z**3/12 - 3*z**2/4 - 9*z/4 + 19. Factor m(j).
-(j + 3)**2/4
Let c(z) be the second derivative of z**5/100 + z**4/12 + 14*z. Factor c(k).
k**2*(k + 5)/5
Suppose -3*v - v = 4*r + 8, 4*r = -3*v - 12. Let b be (-10)/15 - 16/r. Factor j**2 + j**2 - 2*j**2 - 3*j**b - 6*j.
-3*j*(j + 2)
Let z = 23/63 - 2/63. Determine k, given that -1/3*k - z*k**2 + 0 = 0.
-1, 0
Let a(j) be the third derivative of -16*j**5/15 + 20*j**4/3 - 50*j**3/3 + 17*j**2. Factor a(b).
-4*(4*b - 5)**2
Let t be 10*5/(11 + -1). Let m(s) be the third derivative of 3*s**2 + 1/180*s**t - 1/72*s**4 + 0 + 0*s + 0*s**3. What is g in m(g) = 0?
0, 1
Let -6*p - 4*p**2 - 3 + p**2 + 12*p**3 - 6*p**5 - 4*p**2 - 3*p**4 + 13*p**2 = 0. What is p?
-1, -1/2, 1
Let r be 7/3 + (-4)/12. Suppose 0 = -28*f + 23*f. Factor f*m - 1/3*m**r + 0.
-m**2/3
Determine m so that m - 2*m**2 + 2 - 3 + 2 = 0.
-1/2, 1
Factor 24*t**2 + 0*t**3 - 45 - 2*t**3 - 2*t**3 + 4*t + 21.
-4*(t - 6)*(t - 1)*(t + 1)
Let x(n) be the first derivative of n**6/9 + 2*n**5/15 - n**4/6 - 2*n**3/9 - 3. Let x(k) = 0. What is k?
-1, 0, 1
Let r(k) = 8*k**3 + 6*k**2 - 3*k. Let c(g) = -3*g**3 - 2*g**2 + g. Suppose 2*m + v = -20 - 2, -5*v - 33 = 3*m. Let d(f) = m*c(f) - 4*r(f). Solve d(l) = 0.
0, 1
Determine n, given that -n**2 - 3/2*n**3 + 0 - 1/2*n**4 + 0*n = 0.
-2, -1, 0
Let z(g) be the second derivative of -g**5/10 - 2*g**4/3 - 5*g**3/3 - 2*g**2 - 4*g. Factor z(j).
-2*(j + 1)**2*(j + 2)
Let -18*k**2 - 5*k + 6*k + 22*k**3 - 5*k + 0*k = 0. Calculate k.
-2/11, 0, 1
Let t be (-1)/(0 + -1)*-1. Let c be t/(-2*3/12). Find x such that 4 - 6*x - 2*x**2 + 5*x**c - x**2 = 0.
1, 2
Suppose -3*i = 2*i - 15. Let h(r) be the second derivative of -1/20*r**5 + 1/6*r**4 + 1/6*r**i + 0 - r**2 - r. Factor h(s).
-(s - 2)*(s - 1)*(s + 1)
Let w(l) = -l**2 - l - 2. Let i be w(-2). Let y be i/(-28) + (-2)/14. Let 2/3*c**3 + 0*c + y - 2/3*c**2 = 0. Calculate c.
0, 1
Let g(r) = 33*r**2 + 60*r + 27. Let q(y) = 8*y**2 + 15*y + 7. Let a(p) = -5*g(p) + 21*q(p). Solve a(u) = 0 for u.
-4, -1
Suppose 2*b - 4 = 3*c, 2*b - c - 5 + 1 = 0. Find n such that n**2 - 3*n**b - 2*n**2 + n = 0.
0, 1/4
Let p(i) = -i**2 + 4*i + 7. Let q be p(5). Let b be 3/q*2/6. Determine z so that b*z + 0 + 1/4*z**3 + 3/4*z**2 = 0.
-2, -1, 0
Let j(f) be the third derivative of -f**5/15 - f**4/24 - 2*f**3/3 - 3*f**2. Let q(a) = a**2 + a + 1. Let u(z) = -j(z) - 3*q(z). Suppose u(p) = 0. Calculate p.
1
Let z(g) be the second derivative of 0 - g - 1/9*g**3 - 1/9*g**2 - 1/18*g**4 - 1/90*g**5. Factor z(y).
-2*(y + 1)**3/9
Let s(a) = a - 7. Let f be s(8). Let h(x) = 2*x**3 + x**2 + x - 1. Let u be h(f). Factor -1/3*n**u - 1/3*n**2 + 1/3*n + 1/3*n**4 + 0.
n*(n - 1)**2*(n + 1)/3
Let i(p) be the second derivative of -p**6/50 - 9*p**5/100 - 3*p**4/20 - p**3/10 - p. Determine m, given that i(m) = 0.
-1, 0
Let h(l) be the third derivative of 0*l - 1/300*l**6 + 0 + 0*l**4 - 1/75*l**5 - 5*l**2 + 0*l**3. Suppose h(f) = 0. Calculate f.
-2, 0
Suppose 2/11*t**4 + 0 - 2/11*t - 2/11*t**2 + 2/11*t**3 = 0. Calculate t.
-1, 0, 1
Let k be 178/9 + -5*12/(-270). Find d such that -40/7*d**2 + 8/7*d + 0 + 14*d**5 - 6/7*d**3 + k*d**4 = 0.
-1, 0, 2/7
Let u be 1/(-2)*-4 - 0. Suppose -2*j**4 + 15 + 16*j**3 - u*j**4 - 15 - 16*j**2 = 0. Calculate j.
0, 2
Let j(r) be the second derivative of -1/15*r**4 - 1/5*r**2 + 1/25*r**6 + 2*r + 0 - 1/25*r**5 - 1/105*r**7 + 1/5*r**3. Factor j(v).
-2*(v - 1)**4*(v + 1)/5
Let r(q) = -4*q**2 + 3*q + 1. Let v(o) = -o - 8*o - 1 + 7*o**2 - o + 4*o. Let j(t) = -10*r(t) - 6*v(t). Let j(f) = 0. Calculate f.
1, 2
Let z = -113/3 + 38. Let j be (3 - 28/24*3)*0. Find k, given that -z*k**3 + 1/3*k + j + 0*k**2 = 0.
-1, 0, 1
Let -1/11*a + 0 - 1/11*a**2 = 0. Calculate a.
-1, 0
Suppose 15*o = 8*o. Factor -3*g - g**2 + o*g**2 + 4*g.
-g*(g - 1)
Let d(s) be the second derivative of -5*s - 1/21*s**4 - 4/21*s**3 + 0 + 1/70*s**5 + 8/7*s**2. Factor d(y).
2*(y - 2)**2*(y + 2)/7
Let m(k) be the third derivative of -5*k**6/24 + 7*k**5/4 - 5*k**4/6 - 56*k**2. Factor m(h).
-5*h*(h - 4)*(5*h - 1)
Let s be 23 + -25 + (-59)/2. Let y = 32 + s. Factor -y - 2/3*c - 1/6*c**2.
-(c + 1)*(c + 3)/6
Let a(n) be the second derivative of -n**7/21 + 8*n**6/45 - n**5/30 - 4*n**4/9 + 4*n**3/9 - n. Determine w, given that a(w) = 0.
-1, 0, 2/3, 1, 2
Let w(n) = -n + 1. Let r(f) = -2*f**3 - 4 + 2*f + 3*f**3 + 1. Let a be -2 + (6/3 + -1)*-1. Let g(h) = a*w(h) - r(h). Find k, given that g(k) = 0.
-1, 0, 1
Let a = -1/21 + 5/7. Determine g so that 2/9*g**3 + 2/3*g + 2/9 + a*g**2 = 0.
-1
Let c(o) = 5*o**4 + 13*o**3 + 13*o**2 + 3*o - 2. Let s(j) = -j**2 - j. Let g(x) = -c(x) - 4*s(x). Factor g(t).
-(t + 1)**3*(5*t - 2)
Let m(x) = x**2 - x. Let z(j) = -2*j**2 + 9*j - 7. Let h(d) = -3*m(d) - z(d). Let h(g) = 0. Calculate g.
-7, 1
Let i be (10 + -15)*2/(-5). Factor -1/4*b**5 - 1/4*b**3 + 0*b**i + 0*b + 0 - 1/2*b**4.
-b**3*(b + 1)**2/4
Suppose 2/5*i**3 + 2/5*i**2 - 2/5 - 2/5*i = 0. Calculate i.
-1, 1
Let x(w) = 4*w**2 + 23*w + 5. Let d(i) = i**2. Let r(q) = 2*q**2 - 12*q - 2. Let p(z) = 4*d(z) - r(z). Let n(u) = 7*p(u) - 4*x(u). Factor n(c).
-2*(c + 1)*(c + 3)
Solve 5/4*j**5 + 1 + 3*j - 17/4*j**3 - 1/4*j**2 - 3/4*j**4 = 0.
-1, -2/5, 1, 2
Let y(r) = -r + 2. Let v be y(0). Factor 5*n**3 - 6*n**3 - 2*n**2 + v*n**3.
n**2*(n - 2)
Let 18/7*q**4 - 22/7*q**2 + 2*q**3 + 4/7 - 2*q = 0. Calculate q.
-1, 2/9, 1
Let w(b) be the first derivative of -2*b**5/5 + b**4 - 2*b**3/3 - 7. What is h in w(h) = 0?
0, 1
Let k(z) = z**3 - z**2. Let t(n) = -5*n**5 + 15*n**4 - 7*n**3 - 13*n**2 + 10*n. Let r(j) = 2*k(j) + t(j). What is y in r(y) = 0?
-1, 0, 1, 2
Let w be ((-1 - -1) + -32)*7/(-42). Factor 14/3*v**3 + w*v**2 + 0 - 98/9*v**4 + 8/9*v.
-2*v*(v - 1)*(7*v + 2)**2/9
Let v be (-268)/(-48) + -5 - 2/6. Let j(q) be the first derivative of 0*q**2 - 1/6*q**6 - 1/5*q**5 + 2 + 0*q + 1/3*q**3 + v*q**4. Determine i so that j(i) = 0.
-1, 0, 1
Let x(s) be the first derivative of -4/7*s - 2/21*s**3 + 4 - 3/7*s**2. Factor x(u).
-2*(u + 1)*(u + 2)/7
Suppose 5*k + 10 = 35. Let o(c) be the third derivative of -1/210*c**7 + 0*c**4 + 0*c - c**2 + 0*c**k - 1/120*c**6 + 0 + 0*c**3. Factor o(h).
-h**3*(h + 1)
Let v(i) be the second derivative of 4/3*i**3 - 5*i + 8*i**2 + 0 - 7/12*i**4 + 1/20*i**5. Let v(f) = 0. What is f?
-1, 4
Let l = -9 - -9. Factor 7*z + 3*z**2 + l*z**2 + 2*z + 6.
3*(z + 1)*(z + 2)
Let i(x) be the first derivative of x**5/30 + x**4/9 - x**3/9 - 2*x**2/3 + 3*x - 7. Let m(r) be the first derivative of i(r). Let m(u) = 0. What is u?
-2, -1, 1
Let c(b) be the third derivative of -b**6/200 + 12*b**2. Factor c(y).
-3*y**3/5
Suppose 2*j - 2 = 2*o, 0*j + j = 3*o - 1. Let b = 31/87 - 2/87. Find v such that -b*v + 0 + 1/3*v**j = 0.
0, 1
Let t(m) be the first derivative of 2*m**3/15 + 11*m**2/5 + 10. Factor t(d).
2*d*(d + 11)/5
Suppose 4*x = n + 23 - 13, 2*n - 2 = -3*x. Let s(d) be the second derivative of 1/3*d**3 + 0 - 4*d + 1/12*d**4 + 0*d**x. Suppose s(q) = 0. What is q?
-2, 0
Let i(s) be the third derivative of 1/48*s**6 + 0*s**3 + 2*s**2 - 1/30*s**5 + 0 - 1/210*s**7 + 0*s + 1/48*s**4. Let i(z) = 0. What is z?
0, 1/2, 1
Let w(q) be the third derivative of q**6/40 - q**4/8 + q**2 - 3*q. Find z, given that w(z) = 0.
-1, 0, 1
Let z(j) = -3*j**2 + 4*j + 3. Let q(w) = 11*w**2 - 16*w - 13. Let s be (-18)/4*(-8)/3. Let i be (3/2)/(2/s). Let t(y) = i*z(y) + 2*q(y). Factor t(m).
-(m - 1)*(5*m + 1)
Let d = 8 + 5. Let a(r) = r**3 + r + 2. Let o be a(0). Let -13*n + d*n - n**o = 0. What is n?
0
Suppose 3*i = 5*o - 69, 2*i - 12 = 6*i. Let x be (-1)/(9/o - 1). Factor -s**2 + 2 + s**2 + x*s + 2*s**2.
2*(s + 1)**2
Let h(d) be the second derivative of 8*d + 4/27*d**3 + 1/180*d**5 + 0 - 5/108*d**4 - 2/9*d**2. Determine y so that h(y) = 0.
1, 2
Let d = 2/5 + -3/10. Let a(z) be the first derivative of 2 - d*z**4 + 1/5*z**6 + 0*z + 0*z**2 - 4/15*z**3 + 8/25*z**5. Factor a(m).
2*m**2*(m + 1)**2*(3*m - 2)/5
Suppose w - 5*t + 8 = -2*w, 2*w - 4 = t. Let s(h) be the second derivative of -h + 2/9*h**3 + 1/60*h**5 + 0 + 1/9*h**w + 0*h**2. Factor s(o).
o*(o + 2)**2/3
Let g(m) = 3*m**3 + m**2 - 4*m - 7. Let p(