2 - 3*u**3 = 0. Calculate u.
0, 1
Suppose -x - 3 = -2*x. Let c(l) be the first derivative of 0*l**2 + 0*l**4 + 0*l - 2/35*l**5 + 1 + 2/21*l**x. Find d, given that c(d) = 0.
-1, 0, 1
Let u(s) be the second derivative of 0 + 0*s**5 + 2/15*s**6 + 0*s**3 + 2*s**2 - 2/3*s**4 + 7*s. Determine g, given that u(g) = 0.
-1, 1
What is i in 1/4*i**2 + 0 + 1/4*i - 1/4*i**3 - 1/4*i**4 = 0?
-1, 0, 1
Let p(u) = u**4 + 10*u**3 + 9*u**2 - 4. Let y(i) = -10*i**3 - 10*i**2 + 5. Let w(o) = 5*p(o) + 4*y(o). What is v in w(v) = 0?
-1, 0
Let f(t) be the third derivative of -3/280*t**8 + 0*t - 2/175*t**7 + 29/300*t**6 - 1/75*t**5 + 0 + 8/15*t**3 - 1/3*t**4 + 6*t**2. Solve f(x) = 0.
-2, -1, 2/3, 1
Factor 53*f**2 - 3*f**4 + 7*f**4 - 57*f**2.
4*f**2*(f - 1)*(f + 1)
Let d(s) = 5*s**4 - 3*s**3 - 2*s**2 + 3*s - 3. Let t(j) = 26*j**4 - 16*j**3 - 10*j**2 + 16*j - 16. Let q(x) = 16*d(x) - 3*t(x). Factor q(h).
2*h**2*(h - 1)*(h + 1)
Let v be -1 + 3 + (-2)/2. Suppose 15*g**2 - 1 - v - 2*g**4 - 11*g**2 = 0. Calculate g.
-1, 1
Let u(v) be the second derivative of 1/6*v**3 + 1/420*v**5 + 0 + 0*v**2 - 1/1260*v**6 - 3*v + 0*v**4. Let j(m) be the second derivative of u(m). Factor j(p).
-2*p*(p - 1)/7
Let c(a) be the first derivative of a**3/21 - 2*a**2/7 - 5*a/7 + 25. Factor c(d).
(d - 5)*(d + 1)/7
Let g(q) be the second derivative of 1/16*q**4 - 3*q + 0*q**2 + 0*q**3 - 3/80*q**5 + 0. Let g(x) = 0. What is x?
0, 1
Let p be 3/(-12)*7 + 2. What is y in -3/2*y**2 + 0 - 9/4*y**3 - y**4 - p*y = 0?
-1, -1/4, 0
Let l(s) = -s**3 - s**2 - s - 1. Let h be l(3). Let k be ((-1)/4)/(25/h). Factor -k*b**3 + 0 + 0*b + 2/5*b**5 + 2/5*b**2 - 2/5*b**4.
2*b**2*(b - 1)**2*(b + 1)/5
Solve -4/9 + 0*j**2 - 2/9*j**3 + 2/3*j = 0 for j.
-2, 1
Let k(l) = 15*l**3 - 28*l**2 - 7*l + 3. Let o(a) = 4*a**3 - 7*a**2 - 2*a + 1. Let c(t) = 2*k(t) - 9*o(t). Let h(v) be the first derivative of c(v). Factor h(f).
-2*(f - 1)*(9*f + 2)
Let o(g) be the second derivative of g**4/4 + g**3 + 3*g**2/2 - 14*g. What is k in o(k) = 0?
-1
Let p(x) be the second derivative of x**7/420 - x**6/90 + x**5/60 + x**3/6 - 3*x. Let n(t) be the second derivative of p(t). Find m such that n(m) = 0.
0, 1
Let b(g) = g**3 - g**2 - g - 1. Let i(f) = 2*f**4 + 2*f**3 - 8*f**2 - 6*f - 2. Let o(s) = 2*b(s) - i(s). Factor o(y).
-2*y*(y - 2)*(y + 1)**2
Suppose -i + 81 = -4*t + 2*i, -2*i = -5*t - 103. Let f be 3/8*(-14)/t. Find k, given that f*k**5 - 1/4*k**2 - 1/4*k**3 + 0*k + 1/4*k**4 + 0 = 0.
-1, 0, 1
Factor 2/3 - 2/3*w**2 + 0*w.
-2*(w - 1)*(w + 1)/3
Factor 3*o**5 - 6*o**5 - o - 3*o**4 - 4 - 2*o + 1 + 6*o**2 + 6*o**3.
-3*(o - 1)**2*(o + 1)**3
Let j(i) be the third derivative of i**5/120 + 15*i**2. Find n, given that j(n) = 0.
0
Let q(b) = 2*b**3 + 12 + 3*b + b - 8 - 2*b. Let x(h) = 6*h**3 - h**2 + 6*h + 11. Let o(z) = -11*q(z) + 4*x(z). Factor o(l).
2*l*(l - 1)**2
Let y be 35/14*(-12)/(-10). Let w(r) = -4*r**3 + r**2 - r. Let b(n) = 11*n**3 - 3*n**2 + 2*n. Let j(l) = y*b(l) + 8*w(l). Factor j(u).
u*(u - 2)*(u + 1)
Find g, given that -32 - 10 - 28*g + 2*g**2 + 68 = 0.
1, 13
Let d(p) be the third derivative of -p**7/140 - p**6/80 - 7*p**2. Suppose d(z) = 0. What is z?
-1, 0
Let h(t) = t**3 + 2*t**2 - t + 7. Let c be h(-3). Let a be (-28)/10 + c + 2. Factor 1/5*x**3 + 0 - 1/5*x + 1/5*x**2 - a*x**4.
-x*(x - 1)**2*(x + 1)/5
Let y(w) be the second derivative of 0 + 1/72*w**4 + 0*w**2 + 1/18*w**3 - 2*w. Factor y(k).
k*(k + 2)/6
Suppose -2*u + 5 + 1 = 0. Suppose 2/13*m**u + 10/13*m - 8/13*m**2 - 4/13 = 0. Calculate m.
1, 2
Let q(y) = -y**3 - y. Let z be q(0). Suppose z = 2*j + j + 6. Let i(t) = -12*t**2 - 6*t - 20. Let u(b) = b**2 + 1. Let f(n) = j*i(n) - 22*u(n). Factor f(l).
2*(l + 3)**2
Let n(p) be the first derivative of -p**6/15 + 16*p**5/25 - 8*p**4/5 - 5. Factor n(z).
-2*z**3*(z - 4)**2/5
Suppose -3*c = -2*c + 1, c = 3*w - 13. Factor 0*t**4 + 0*t**5 - w*t**5 + 3*t**5 - 2*t**4.
-t**4*(t + 2)
Suppose -4*h = 5*s + 34, 6*h = -5*s + 3*h - 33. Let g be (4/s)/(2/(-9)). Factor 2/7*z**4 + 2/7*z**g + 0*z - 2/7*z**5 - 2/7*z**2 + 0.
-2*z**2*(z - 1)**2*(z + 1)/7
Suppose -2*i + 18 = -i - 5*d, -2*d = 3*i - 3. Determine p, given that 2/11*p + 0 - 2/11*p**i - 2/11*p**2 + 2/11*p**4 = 0.
-1, 0, 1
Let n(c) be the third derivative of -c**7/2520 + c**6/360 - c**5/120 + c**4/72 + c**3/2 + 3*c**2. Let f(d) be the first derivative of n(d). Factor f(b).
-(b - 1)**3/3
Let 2/5*m**5 + 8/5*m**3 - 2*m + 4/5*m**2 + 4/5 - 8/5*m**4 = 0. Calculate m.
-1, 1, 2
Factor 0 + 0*q - 4/3*q**2 - 2/3*q**3.
-2*q**2*(q + 2)/3
Suppose -3*y - 5*z + 36 = 0, -3*y - 9 = -3*z - 45. What is v in 20*v**2 - y + 4*v**3 + 8 - 32 + 12*v = 0?
-3, 1
Solve 6/5*g**3 - 6/5*g + 2/5*g**2 + 2/5*g**4 - 4/5 = 0.
-2, -1, 1
Let g = 20 - 17. Let b(l) be the first derivative of 2 - 1/9*l**6 + l**2 + 2/3*l - 2/5*l**5 + 4/9*l**g - 1/3*l**4. Find o such that b(o) = 0.
-1, 1
Let b(f) = 2*f**2 + f**2 - 5*f**2 + 5*f - 2 + f**2. Let y be b(4). Find t, given that 6*t**4 - 2*t**5 - 3*t**3 + 0*t**2 + 3*t**3 + 2*t**y - 6*t**3 = 0.
0, 1
Let k(g) be the first derivative of g**4/14 - 3*g**2/7 + 4*g/7 - 1. What is s in k(s) = 0?
-2, 1
Let c be (11 - 1) + (-6 - 0) - 2. Determine m so that 0*m + 2/11*m**c + 0 = 0.
0
Determine o, given that 0 - 4/3*o**2 + 8/3*o = 0.
0, 2
Let h(s) = -s. Let n(q) = 3*q**2 - 2*q. Let a(t) = 4*h(t) + n(t). Factor a(i).
3*i*(i - 2)
Let n(l) be the first derivative of 3/10*l**2 + 1/15*l**3 + 1 + 2/5*l. Find y, given that n(y) = 0.
-2, -1
Let n = -18 + 14. Let w be (-15)/(-54) + n/(-18). Factor 0 + w*d - 3/2*d**2 + d**3.
d*(d - 1)*(2*d - 1)/2
Suppose 28 = -5*f + 3. Let n be f/(-6) + 1/(-3). What is w in -3/4*w + n + 1/4*w**3 + 0*w**2 = 0?
-2, 1
Let y = -2 + 6. Let j(g) = -3*g - 12. Let u be j(-5). Solve y*x**3 - x + 0*x**u - 2*x**3 - x = 0 for x.
-1, 0, 1
Let h(x) be the first derivative of 2*x**3/15 - 6*x**2/5 + 16*x/5 - 7. Determine b, given that h(b) = 0.
2, 4
Let k(j) be the third derivative of j**6/120 - 23*j**5/60 + 143*j**4/24 - 121*j**3/6 + 35*j**2. Let k(n) = 0. What is n?
1, 11
Let c = -265 - -265. Factor -2/3*a**2 + 0*a + c - 2*a**3.
-2*a**2*(3*a + 1)/3
Let u(c) be the first derivative of c**4/8 - 14*c**3/3 + 49*c**2 - 25. Factor u(z).
z*(z - 14)**2/2
Let n be (9/(-81))/((-4)/12). Solve 1/3*a**2 - n*a**3 + 0 + 2/3*a = 0 for a.
-1, 0, 2
Factor 9*x**2 - x**3 - 13*x**2 + 6*x**2.
-x**2*(x - 2)
Let y(n) = n**3 + n**2 - n + 1. Let x be y(1). Factor -3*f**3 - f + f**3 + f**3 - x*f**2.
-f*(f + 1)**2
Suppose 3*h - 5*v = 24, -3*h - v + 12 = -2*v. Factor 5*i**2 + 2*i**5 + 6 - h + 8*i**3 - 10*i - 8*i**4 - i**2 + 1.
2*(i - 2)*(i - 1)**3*(i + 1)
Let g = 889 + -6213/7. Find i, given that g*i - 8/7*i**2 - 4/7 + 2/7*i**3 = 0.
1, 2
Let p(s) = 7*s**4 + 5*s**3 - 4*s**2 + 4. Let o(f) = -8*f**4 - 6*f**3 + 3*f**2 + f - 5. Let g(i) = -4*o(i) - 5*p(i). Let g(m) = 0. Calculate m.
-2, 0, 2/3, 1
Let d(v) be the third derivative of 0*v**3 + 0*v - 4*v**2 - 1/90*v**5 + 0 + 1/36*v**4. Factor d(h).
-2*h*(h - 1)/3
Factor 0 - 3/2*w - 3/4*w**3 + 9/4*w**2.
-3*w*(w - 2)*(w - 1)/4
Let a(t) = 10*t**2 + 39*t - 13. Let s(p) = -p**2 + 1. Let k(h) = -a(h) + 5*s(h). Factor k(y).
-3*(y + 3)*(5*y - 2)
Let c = 30 + -18. Let p be 1/3 - 2/c. Find s such that 0*s + 0*s**2 + 0 - p*s**3 = 0.
0
Suppose -13 = -4*g - 5. Factor 7/2*r**g + 0 + r.
r*(7*r + 2)/2
Factor 0*p**3 - 2*p**4 + 4*p**3 - 2*p**5 - 2*p**3 + 2*p**2.
-2*p**2*(p - 1)*(p + 1)**2
Determine r so that 128/9*r - 160/9*r**3 - 50/9*r**4 - 16/3*r**2 - 32/9 = 0.
-2, 2/5
Let q(b) = b**3 + 6*b**2 - 8*b - 4. Let s be q(-7). Factor -x**4 - 2*x**2 - 1 + 0*x**4 - 3*x + 2*x**s + 4*x**4 + x**5.
(x - 1)*(x + 1)**4
Let z(k) = k**2 - k + 1. Let j(m) = m**3 + 4*m**2 - m + 1. Let i(q) = -j(q) + z(q). Suppose i(b) = 0. What is b?
-3, 0
Suppose 2*p + 2*g + 2 = 0, -27*g + 25*g + 4 = 5*p. Let 0*x + 0 + 0*x**p - 2/5*x**3 = 0. Calculate x.
0
Let g(b) be the first derivative of -1/4*b**2 - 3 - 1/6*b**3 + b. Factor g(z).
-(z - 1)*(z + 2)/2
Let u(o) be the second derivative of o**5/50 - o**4/30 - 2*o**3/15 - 7*o. Solve u(z) = 0 for z.
-1, 0, 2
Let -4*p**3 + 8*p**2 - 5*p**2 - p + p**4 + p**3 = 0. What is p?
0, 1
Let q(a) = a**3 + a. Let x(n) = 9*n**3 + 5*n**2 - 6*n. Let z(l) = 4*q(l) - x(l). Factor z(c).
-5*c*(c - 1)*(c + 2)
Let w(z) = 14*z**2 - 6*z + 14. Let l(q) = -5*q**2 + 2*q - 5. Let r be 2/(-4)*(2 + -8). Suppose -t