*v - 1/3*v**2 - 1/3*v**4 = 0.
0, 1
Determine l so that 0*l - 1/6 + 1/6*l**2 = 0.
-1, 1
Let i be 2/420 + 3 - 3. Let a(v) be the third derivative of 1/12*v**4 + 0*v + 1/6*v**3 - 1/60*v**6 + 0 + v**2 - i*v**7 + 0*v**5. Factor a(d).
-(d - 1)*(d + 1)**3
Suppose -6*a + 2*a = 0, 4*g - 5*a = 24. Let j be g/3*(-3)/(-12). Factor -1 + 0*c**2 - 3/2*c + j*c**3.
(c - 2)*(c + 1)**2/2
Suppose 15*l - 10*l = 0. Let r(j) be the second derivative of -1/3*j**3 + l - 2*j - 1/6*j**4 + 0*j**2. Factor r(u).
-2*u*(u + 1)
Let i be (-9 - -1)/(44/(-6)). Let z = i - 62/77. Suppose 4/7*x**3 - 2/7 + 0*x**2 + z*x**4 - 4/7*x = 0. Calculate x.
-1, 1
Suppose 0 = -5*p + 23 - 3. Suppose -4*q = -x - 0*x - 16, -p*q + 16 = 5*x. Factor -1/3*y**2 - 1/3*y**3 + x + 1/3*y**4 + 0*y + 1/3*y**5.
y**2*(y - 1)*(y + 1)**2/3
Let b(m) = 7*m**4 - 23*m**3 + 3*m**2. Let q(r) = 4*r**4 - 12*r**3 + 2*r**2. Let a(o) = -6*b(o) + 11*q(o). Factor a(j).
2*j**2*(j + 1)*(j + 2)
Suppose -3 = x - 10. Let r(b) be the second derivative of 1/18*b**4 + 0 + 7/60*b**5 + 0*b**2 + 2*b + 0*b**3 - 1/18*b**x - 1/45*b**6. Solve r(z) = 0 for z.
-1, -2/7, 0, 1
Let s be (-7 + -1)/((-4)/(60/45)). Find z, given that s*z + 2/3 + 4*z**2 + 8/3*z**3 + 2/3*z**4 = 0.
-1
Let l be 8/2 + (-70)/35. Let -2/7*c**3 - 24/7*c - 16/7 - 12/7*c**l = 0. Calculate c.
-2
Factor -2*g**4 + 4*g**4 - 19*g**3 + 13*g**3 + 4*g**2.
2*g**2*(g - 2)*(g - 1)
Let s(x) be the first derivative of 2*x**3/3 + 13*x**2/3 + 20*x/3 + 27. Factor s(l).
2*(l + 1)*(3*l + 10)/3
Suppose -1/3*w**2 - 4/3*w + 4 = 0. Calculate w.
-6, 2
Suppose 0 = 3*t + t - 8. Let r be t*-1*(-4 - -3). Suppose r + 9/2*w**2 - 6*w = 0. Calculate w.
2/3
Let b = -160 - -162. Factor 0 + 0*c + 3/4*c**b + 9/4*c**3 + 9/4*c**4 + 3/4*c**5.
3*c**2*(c + 1)**3/4
Let j(u) be the first derivative of u**4/8 + u**3/6 - 2. Factor j(r).
r**2*(r + 1)/2
Let q(s) = -s**3 + 4*s**2 + 2. Let h be q(4). Let -17*z**5 - h*z**2 + 23*z**5 - z**4 + 2*z**4 - 5*z**3 = 0. Calculate z.
-2/3, -1/2, 0, 1
Determine u, given that 3*u**2 + 2*u**2 - 84 + 79 = 0.
-1, 1
Suppose 0 = -3*l + 2*l + 2. Let b be l + 32/(-12) + 2. Factor -b*a + 0 - 2/3*a**2.
-2*a*(a + 2)/3
Suppose y = 2*j - 2, 2*y = 3*j - 0 + 1. Solve -y - 4*d**2 - 56*d - 13*d**2 - 61*d**2 + 56*d**4 + 86*d**3 = 0 for d.
-2, -2/7, -1/4, 1
Let h be ((-3)/9)/(24/(-9) + 2). Let j(u) be the first derivative of u**3 + h*u**2 + 0*u + 2 + 1/5*u**5 + 3/4*u**4. Let j(q) = 0. What is q?
-1, 0
Let u(l) be the third derivative of -1/15*l**4 + 0 + 1/150*l**5 + 4/15*l**3 - 2*l**2 + 0*l. Factor u(k).
2*(k - 2)**2/5
Let z = -803 - -1607/2. Factor 1/6*i**2 + 0 - z*i.
i*(i - 3)/6
Suppose 3/4*x**2 - 3/8*x**5 + 3/4 - 3/2*x**3 - 3/2*x**4 + 15/8*x = 0. What is x?
-2, -1, 1
Let f(i) be the third derivative of 1/180*i**6 - 3*i**2 + 0*i + 0*i**5 + 0 + 0*i**3 - 1/315*i**7 + 0*i**4. Let f(y) = 0. Calculate y.
0, 1
Let j be 5 + -3 + 3/12*4. Determine b so that 0 + 4/5*b**4 - 2/5*b - 13/5*b**j + 11/5*b**2 = 0.
0, 1/4, 1, 2
Let g(l) = l**2 + 10*l + 2. Let n be g(-10). Suppose -4 = -3*f - h - 0, f + n*h + 2 = 0. Factor 3*j**2 - j - j**f - j.
2*j*(j - 1)
Suppose 2*a + 11 = k, -5*a = -0*a + 20. Solve 6*z**2 - 6*z - 7*z**4 - 4*z**4 + k*z**2 + 6*z**3 + 2*z**4 = 0.
-1, 0, 2/3, 1
Let u(z) be the first derivative of -1/3*z**3 - z + 3 - 7/4*z**2 + 3/8*z**4. Find t such that u(t) = 0.
-1, -1/3, 2
Let w = 32 + -32. Let p be 4/8*w/1. Factor 8/5 - 6/5*y**2 + p*y + 2/5*y**3.
2*(y - 2)**2*(y + 1)/5
Let i = 13 + -9. Determine k, given that -8 - 4*k**3 + 0*k**3 - 44*k - 48*k**2 + 5*k**3 + 3*k**3 + 16*k**i = 0.
-1, -1/4, 2
Find w such that 8/5 - 6/5*w**2 + 2/5*w**3 + 0*w = 0.
-1, 2
Let s be (-2)/(-3)*(-9)/(-2). Suppose -2*k = s*k. What is c in k - 1/3*c**3 - 1/3*c - 2/3*c**2 = 0?
-1, 0
Let k(g) be the first derivative of g**6/300 + g**5/75 + g**4/60 - g**2 - 1. Let j(l) be the second derivative of k(l). Suppose j(w) = 0. Calculate w.
-1, 0
Let s(p) be the third derivative of p**7/2940 + p**6/360 + p**5/210 + p**4/8 + 3*p**2. Let g(u) be the second derivative of s(u). Let g(b) = 0. Calculate b.
-2, -1/3
Factor 324*s**2 + 16 + 14*s + 30*s + 100*s.
4*(9*s + 2)**2
Solve -40 + 61 + 24*u - 4*u**2 - 41 = 0.
1, 5
Let v(j) be the first derivative of 0*j**4 + 0*j + 0*j**3 - 1/300*j**6 - 1/150*j**5 + 2 + j**2. Let r(u) be the second derivative of v(u). Factor r(c).
-2*c**2*(c + 1)/5
Let n(r) be the first derivative of 0*r + 4/27*r**3 - 3 - 4/45*r**5 - 1/9*r**6 + 1/6*r**4 + 0*r**2. Suppose n(o) = 0. What is o?
-1, -2/3, 0, 1
Let s(x) be the second derivative of x**8/26880 - x**7/3360 + x**6/1440 - x**4/6 + 3*x. Let p(i) be the third derivative of s(i). Determine j so that p(j) = 0.
0, 1, 2
Let a(d) be the third derivative of d**6/360 + d**5/36 + d**4/12 + 13*d**2. Factor a(i).
i*(i + 2)*(i + 3)/3
Let u(h) be the second derivative of h**8/112 + h**7/35 - h**5/10 - h**4/8 + 3*h**2/2 + 3*h. Let w(n) be the first derivative of u(n). Factor w(y).
3*y*(y - 1)*(y + 1)**3
Let k(l) be the second derivative of -7*l**5/10 + 13*l**4/3 + 43*l**3/3 + 10*l**2 - 13*l - 2. Factor k(q).
-2*(q - 5)*(q + 1)*(7*q + 2)
Let q(a) = -2*a - 34. Let m be q(-18). Determine o so that -3*o + 9/2 + 1/2*o**m = 0.
3
Let u be (1/((-14)/(-8)))/(42/49). Let -16/3 - 4*b**2 - u*b**3 - 8*b = 0. What is b?
-2
What is w in -52*w**2 + 36*w**2 + 6*w**4 - 26*w**4 + 52*w**3 - 16*w = 0?
-2/5, 0, 1, 2
Let v(z) be the first derivative of -z**3/9 + 3*z - 10. Suppose v(s) = 0. Calculate s.
-3, 3
Factor 16/7*z - 4/7*z**2 - 8/7*z**3 + 12/7.
-4*(z + 1)**2*(2*z - 3)/7
Let x(p) = -1 + p + p**3 + 2 + 0*p**3 + p**2. Let y(f) = 5*f**3 + f**2 + 6*f + 4. Let m(l) = 12*x(l) - 3*y(l). Determine g so that m(g) = 0.
0, 1, 2
Let o(d) be the second derivative of -d**6/60 + 3*d**5/40 + d**4/24 - d**3/4 - 55*d. Factor o(n).
-n*(n - 3)*(n - 1)*(n + 1)/2
Let m(b) be the second derivative of -2*b + 2/165*b**6 + 0*b**4 - 1/33*b**7 + 0*b**3 + 0*b**5 + 0 + 0*b**2. Determine y, given that m(y) = 0.
0, 2/7
Suppose r - 2*v = -v + 4, -2*r + 5*v = -14. Let j = 3 - -4. Factor j*d**2 - r*d**5 + 0*d**4 + d**2 + 5*d**4 + 3*d**4 - 2*d - 12*d**3.
-2*d*(d - 1)**4
Let y(n) be the second derivative of -3*n + 1/6*n**3 - 1/12*n**4 + 0 + 0*n**2. Factor y(a).
-a*(a - 1)
Let i(p) be the third derivative of p**7/1155 + p**6/110 + 2*p**5/55 + 5*p**4/66 + p**3/11 + 6*p**2. Solve i(a) = 0 for a.
-3, -1
Let k = -62/33 - -28/11. What is h in 4/3*h**2 + k*h + 0 = 0?
-1/2, 0
Suppose 2*o + 2*o - f = 17, -4*o + 2*f + 18 = 0. Let j(p) be the first derivative of p**3 - 1/4*p**o + 2 + p - 3/2*p**2. Factor j(v).
-(v - 1)**3
What is p in -6/17*p**3 + 4/17*p - 2/17*p**4 + 2/17*p**2 + 0 + 2/17*p**5 = 0?
-1, 0, 1, 2
Solve -3/4*c**3 + 1/4*c**4 + 0 - 1/4*c + 3/4*c**2 = 0 for c.
0, 1
Find j such that 20*j**2 + 8*j + 6640 - 6640 = 0.
-2/5, 0
Let l(n) be the third derivative of -4*n**2 + 1/180*n**6 + 2/45*n**5 + 0 + 5/36*n**4 + 0*n + 2/9*n**3. Determine t, given that l(t) = 0.
-2, -1
Let x = 35 + -34. Let a be x - (2 + 0 + -1). Factor a + 2/7*z**3 + 2/7*z - 4/7*z**2.
2*z*(z - 1)**2/7
Let v(a) be the first derivative of a**3/5 + 3*a**2/5 + 3*a/5 - 2. Factor v(h).
3*(h + 1)**2/5
Let d be -1*1*(-6 - -3). Let 2*h**d + 3*h + 6*h**2 + 2*h + 2 + h = 0. What is h?
-1
Suppose -4 + 17*c**3 - 14*c**3 + 6*c**2 + 4 = 0. Calculate c.
-2, 0
Factor -2/13*m**2 + 0 - 2/13*m.
-2*m*(m + 1)/13
Let q(d) be the second derivative of 7*d**6/15 + d**5/2 - d**4/3 + d. Suppose q(u) = 0. Calculate u.
-1, 0, 2/7
Let j(m) be the first derivative of 0*m - 2*m**2 + 8/3*m**3 + 0*m**4 + 7 + 2/3*m**6 - 8/5*m**5. Determine s, given that j(s) = 0.
-1, 0, 1
Let h(r) = -20*r**4 + 44*r**3 + 100*r**2 - 44*r - 96. Let z(j) = 4*j**4 - 9*j**3 - 20*j**2 + 9*j + 19. Let p(y) = -3*h(y) - 16*z(y). What is l in p(l) = 0?
-1, 1, 4
Let f(b) be the second derivative of 49*b**4/60 - 28*b**3/15 + 8*b**2/5 + 42*b. Let f(g) = 0. Calculate g.
4/7
Let u(d) be the second derivative of -4*d**7/63 - 8*d**6/45 - d**5/30 + 7*d**4/18 + 5*d**3/9 + d**2/3 + 45*d. Determine j, given that u(j) = 0.
-1, -1/2, 1
Let u(d) be the second derivative of 0*d**2 + 1/2*d**3 + 0*d**4 - 3*d + 7/1440*d**6 + 0 - 1/240*d**5. Let k(c) be the second derivative of u(c). Solve k(h) = 0.
0, 2/7
Suppose -3*u = -u + 72. Let i be 2/5 + u/(-10). Suppose 4 + 3*s**3 + 5*s**2 + i*s - 4 - 2*s = 0. Calculate s.
-1, -2/3, 0
Let l be 6/(1 - 2/(-