 - 21, -2*v = -6. Suppose 1/2*n**3 + 0*n + 1/2*n**2 + a = 0. What is n?
-1, 0
Let q = -79/7 + 785/77. Let k = -38/55 - q. Factor k - 2/5*o**2 + 2/5*o**3 - 2/5*o.
2*(o - 1)**2*(o + 1)/5
Let i(h) = 15*h**3 + 16*h**2 + h - 5. Let z(r) = r**2 + r + 1. Let s(n) = -i(n) - 5*z(n). Let s(v) = 0. What is v?
-1, -2/5, 0
Let x = 1/49621 + 1289859/14241227. Let t = x - -8/41. Determine v, given that t + 2/7*v**2 - 4/7*v = 0.
1
Let c(q) be the second derivative of q**5/20 - 5*q**4/4 + 21*q**3/2 - 49*q**2/2 - 2*q. Determine n, given that c(n) = 0.
1, 7
Solve 54/5*o - 58/5*o**2 + 4/5 = 0.
-2/29, 1
Suppose 2*b = b. Let d be (-10)/(-6)*3 + b. Determine f, given that d*f**5 + 3*f**3 - 4*f**3 - 2*f**2 - 4*f**3 + 2*f**4 = 0.
-1, -2/5, 0, 1
Let a(i) be the first derivative of i**6/45 - 14*i**5/75 + i**4/2 - 26*i**3/45 + 4*i**2/15 - 7. Factor a(r).
2*r*(r - 4)*(r - 1)**3/15
Let y(h) be the third derivative of 0*h - 2*h**2 - 1/168*h**8 + 0*h**3 - 1/120*h**6 + 0*h**4 - 1/70*h**7 + 0*h**5 + 0. Let y(n) = 0. Calculate n.
-1, -1/2, 0
Find c such that 4/7*c**3 + 0 - 2/7*c + 0*c**2 - 2/7*c**5 + 0*c**4 = 0.
-1, 0, 1
Suppose -3*u - 3*c + 6*c + 15 = 0, 5*c + 20 = 0. Suppose r = -2*o + 14, 4*r - 3*o - u = -0*o. Factor -j**4 + 1 - 7/2*j + 1/2*j**5 - j**3 + r*j**2.
(j - 1)**4*(j + 2)/2
Let y = 935/3 + -305. Let p = -237 + 731/3. Factor -p*x**2 - 2/3 - 10/3*x**4 - 2/3*x**5 - 10/3*x - y*x**3.
-2*(x + 1)**5/3
Let q(t) = t + 8. Let g be q(-7). Let n(o) be the first derivative of 2*o + 1/2*o**2 - 1/3*o**3 + g. Solve n(m) = 0 for m.
-1, 2
Let z(r) be the third derivative of -r**6/60 - 33*r**2. Factor z(k).
-2*k**3
Suppose 0 = 4*w + 12, 0 = b + b - 4*w - 20. Find g such that 17*g + 4*g**2 - 15*g + 3*g**2 - b*g**3 = 0.
-1/4, 0, 2
Let v(w) be the second derivative of -3*w + 1/12*w**4 + 0 - w**2 - 1/30*w**5 + 2/3*w**3. Let j(a) be the first derivative of v(a). Suppose j(i) = 0. What is i?
-1, 2
Let m = -574/3 + 194. Factor 0 + 16/3*t**3 + 2/3*t - m*t**4 - 10/3*t**2.
-2*t*(t - 1)*(2*t - 1)**2/3
Let c = 83/3132 + 1/783. Let v(j) be the second derivative of -c*j**4 + 0*j**2 + 0*j**3 + 1/60*j**5 + 0 - 2*j. Suppose v(f) = 0. Calculate f.
0, 1
Let -18/5*d**2 - 12/5*d + 3/5*d**4 + 3/5*d**3 + 24/5 = 0. What is d?
-2, 1, 2
Let b = -2 + 9. Let a be 2/b + 352/336. Let -a*w + 2/9 + 2/3*w**4 - 20/9*w**3 + 8/3*w**2 = 0. Calculate w.
1/3, 1
Factor -j**3 + 0 + 4/5*j + 8/5*j**2.
-j*(j - 2)*(5*j + 2)/5
Let j(u) be the second derivative of 1/30*u**5 + 1/6*u**4 - 2*u + 0 + 1/3*u**3 - u**2. Let h(o) be the first derivative of j(o). Factor h(t).
2*(t + 1)**2
Let h(y) be the first derivative of y**4 + 4*y**3/3 - 2*y**2 - 4*y - 2. Factor h(z).
4*(z - 1)*(z + 1)**2
Suppose 0 = 4*r + 5*v + 30, v = r - 0*r + 12. Let o be r/15*(-12)/14. Solve -o + 2/7*j**4 + 2/7*j**2 + 6/7*j - 6/7*j**3 = 0.
-1, 1, 2
Let p(l) = 3*l**3 - l - 2. Let o(y) = y**3 - y**2. Let t(g) = 2*o(g) - p(g). Factor t(v).
-(v - 1)*(v + 1)*(v + 2)
Let l(m) be the first derivative of -2*m**5/15 - m**4/3 - 2*m**3/9 - 6. Suppose l(f) = 0. What is f?
-1, 0
Let l(c) = c + 1. Suppose 0 = 2*g + 5*b - 18, -1 = 4*g - 2*b + 11. Let o be l(g). Find x, given that 0*x**3 + x**3 - x - x**2 + 1 + o*x**2 + 0 = 0.
-1, 1
Let j(x) be the first derivative of -x**6/3 - 2*x**5/5 + x**4/2 + 2*x**3/3 - 29. Let j(o) = 0. What is o?
-1, 0, 1
Let v = -110 + 176. Let f be (2/3)/(10/v). Factor -8/5*z**2 - 8/5*z - 18/5*z**5 + 0 + 12/5*z**4 + f*z**3.
-2*z*(z - 1)**2*(3*z + 2)**2/5
Suppose 1 = j - 2. Let x be ((-12)/45)/((-2)/j). Factor x*v**2 + 8/5*v + 8/5.
2*(v + 2)**2/5
Suppose -4*r - 3*c + 17 = 0, -4*r - 9 = -4*c - 5. Factor -3*i**r - 10*i + 9/2*i**3 - 4.
(i - 2)*(3*i + 2)**2/2
Let d be ((-34)/255)/((-1)/3). Factor 12/5*v**2 + d*v**4 - 8/5*v - 8/5*v**3 + 2/5.
2*(v - 1)**4/5
Let d(i) = i**2 + i + 1. Let n(r) = -2*r**4 - 4*r**3 + 2*r**2 + 4*r - 12. Let k = -17 - -8. Let b be -1*12/k*-3. Let o(u) = b*d(u) - n(u). Factor o(z).
2*(z - 1)**2*(z + 2)**2
Let x(z) be the third derivative of z**5/570 + z**4/57 + z**3/19 + 10*z**2. What is c in x(c) = 0?
-3, -1
Let -1/12*l**2 + 1/6*l + 0 = 0. What is l?
0, 2
What is y in -10*y**2 - 7*y**4 - 3*y + 10*y**5 + 5*y**4 - 7*y**5 + 2 + 10*y**4 = 0?
-2, -1, 1/3, 1
Factor -6/5*m + 6/5*m**3 - 2/5*m**4 + 0 + 2/5*m**2.
-2*m*(m - 3)*(m - 1)*(m + 1)/5
Factor -28*n - 5*n**2 - 12 + 4*n + 19*n**2 - 14*n.
2*(n - 3)*(7*n + 2)
Let n(h) be the first derivative of h**4/2 + 4*h**3/3 - 3*h**2 - 27. Let n(a) = 0. Calculate a.
-3, 0, 1
Let m(w) be the first derivative of -3*w**5/5 + 3*w**4/2 + w**3 - 3*w**2 + 3. What is r in m(r) = 0?
-1, 0, 1, 2
Suppose -12*o = -13*o + 2. Let -2 - 3*m**2 + 4*m - o*m**2 + 3*m**2 = 0. Calculate m.
1
Let s(p) be the first derivative of -p**3/3 - 9*p**2/10 + 2*p/5 + 11. Factor s(u).
-(u + 2)*(5*u - 1)/5
Factor 4*l**5 - 40*l**3 - 95*l**4 + 87*l**4 - 16*l**2 + 12*l**3.
4*l**2*(l - 4)*(l + 1)**2
Let z = -4 + 6. Factor -2*u**4 + 3*u**3 - 6*u**2 + 0*u + 6*u**3 - 3*u**3 + z*u.
-2*u*(u - 1)**3
Let u(q) be the third derivative of q**6/60 + q**5/15 - q**4/12 + 2*q**3/3 + 7*q**2. Let h(m) = -m**3 - m**2 + m - 1. Let k(f) = -4*h(f) - u(f). Solve k(n) = 0.
-1, 0, 1
Factor -20/17 + 6/17*s + 2/17*s**2.
2*(s - 2)*(s + 5)/17
Let k(p) be the first derivative of 0*p - 1/8*p**2 - 1/12*p**3 + 3. Factor k(r).
-r*(r + 1)/4
Let h(z) = z**2 - 12*z + 15. Let x be h(11). Suppose 82*m**4 - 78*m**4 - 2*m**5 + 2*m**3 - x*m**3 = 0. What is m?
0, 1
Let a be (-3)/(-6)*(-8)/(-4). Factor x**2 + 3*x + 1 - 4*x - a.
x*(x - 1)
Let u(d) = d. Let z be -5*2*1/(-2). Let c be u(z). Factor 0*v**c + v**5 + 13*v**4 + 3*v**3 + v**2 - 10*v**4.
v**2*(v + 1)**3
Let f = 1046 + -1044. Factor 70*m**4 + 8/5 + 58*m**f - 16*m - 94*m**3 - 98/5*m**5.
-2*(m - 1)**3*(7*m - 2)**2/5
Let d(y) be the first derivative of -y**4/72 - y**3/36 + 5*y - 7. Let x(t) be the first derivative of d(t). Factor x(c).
-c*(c + 1)/6
Let a = 2965/4 - 736. Suppose -a*h**4 + 45/8*h**5 + 25/4*h**2 - 49/8*h**3 + 1/2*h - 1 = 0. What is h?
-1, -2/5, 2/3, 1
Let k = 1/782 + -25027/2346. Let a = k - -11. Factor 2/3*n**2 + 1/3*n**5 - 1/3 - a*n**4 - 2/3*n**3 + 1/3*n.
(n - 1)**3*(n + 1)**2/3
Let g(z) be the third derivative of z**7/840 - z**6/80 + 13*z**5/240 - z**4/8 + z**3/6 - 4*z**2. Solve g(u) = 0 for u.
1, 2
Let r = -2836/9 - -316. Factor r*s**3 + 0 - 2/9*s + 2/3*s**2.
2*s*(s + 1)*(4*s - 1)/9
Let q(t) = 2*t**2 - 2. Let s(l) = 10*l**2 - 10. Let i(u) = 11*q(u) - 2*s(u). Factor i(p).
2*(p - 1)*(p + 1)
Let t(x) = 3*x**2 - 8*x + 3. Let r(a) = 4*a**2 - 9*a + 3. Let s(b) = 4*r(b) - 5*t(b). Let i be s(-5). Solve 0*j**3 + 2/3*j**i - 2/3*j**4 + 0*j + 0 = 0.
-1, 0, 1
Let t(k) be the first derivative of -1 + 0*k + 1/12*k**4 + 2/9*k**3 + 1/6*k**2. Factor t(p).
p*(p + 1)**2/3
Let i be 14/(-36) + ((-21)/(-15) - 1). Let x(v) be the second derivative of 0*v**2 - v - i*v**5 + 0*v**3 - 1/27*v**6 - 4/189*v**7 + 0 + 0*v**4. Factor x(n).
-2*n**3*(n + 1)*(4*n + 1)/9
Let u(d) = -d**3 - 7*d**2 - d - 1. Let p be u(-7). Suppose 2 = 4*m - p. Let 2*k**3 - 2*k**2 - k - 3*k**3 + 4*k**m = 0. What is k?
0, 1
Let l = 229 + -227. Factor -2/9 + 0*a + 2/9*a**l.
2*(a - 1)*(a + 1)/9
Let j be (-7)/30 - ((-12)/5 - -2). Let m be (-5)/(-2)*4/5. Factor -j*c**m + 1/3*c - 1/6.
-(c - 1)**2/6
Let k be (2 + 0)*(1 + 1). Let s be -5 + k + 1 + 2. Factor -1/2*a + 1/4 + 1/4*a**s.
(a - 1)**2/4
Let a(l) = -l**2 + 9*l - 4. Let c be a(8). Let t be ((-1)/(1/2))/(-1). Suppose 2*o**2 - 6*o**t - 2 + 21*o - 5*o**2 - c = 0. Calculate o.
1/3, 2
Let t(z) be the second derivative of -z**4/8 + 3*z**2/4 - z. Find i such that t(i) = 0.
-1, 1
Suppose 2*n - 3 = 3. Find m such that -6 - 4*m**n - 4*m + 8*m**2 + 6 = 0.
0, 1
Suppose 0*h - 2 = 2*h. Let r = h - -5. Factor i**3 + 2*i**3 - i + 2*i**2 - r*i**2.
i*(i - 1)*(3*i + 1)
Factor -2/3*v**3 + v**4 + 0 + 0*v**2 + 0*v.
v**3*(3*v - 2)/3
Let l be 3 - (4 - (-1 + 2)). Suppose f = -l*x - x, 3*f = -2*x. Determine h, given that f + 2/13*h**2 + 2/13*h = 0.
-1, 0
Let q(j) = j**2 + 4*j + 4. Let z be q(-4). Let s(t) be the first derivative of 0*t + 0*t**3 + 1/2*t**2 - 1/4*t**z + 1. Factor s(n).
-n*(n - 1)*(n + 1)
Let o(f) be the third derivative of f**7/10080 - f**6/1440 - f**4/24 - f**2. Let z(r) be the second derivative of o(r). Let z(a) = 0. What is a?
0, 2
Suppose -f = 2*h + 1 - 5, 4*f - 2*h = 6. Let m = f - 1. Factor -3*c + 5*c**5 + 2*c**2 - 1 + 1