 o = v - -20. What is h in 2/3*h**2 + 0 + 0*h**3 + 1/3*h - 1/3*h**o - 2/3*h**4 = 0?
-1, 0, 1
Let c(o) = 3*o**2 - 5*o + 2. Let q be c(1). Let 0 + 2/3*p**3 + 0*p + q*p**2 = 0. Calculate p.
0
Let x(q) = 5*q**2 - 4 - 1 + 7 + 3*q. Let p(n) = -6*n**2 - 3*n - 2. Let u(h) = -4*p(h) - 5*x(h). Find t such that u(t) = 0.
-2, -1
Factor -1/6*q**2 - 1/2*q**3 + 1/6*q**5 + 1/6*q**4 + 1/3*q + 0.
q*(q - 1)**2*(q + 1)*(q + 2)/6
Let r be 1/(2 - (-10)/(-6)). Suppose v = r*v. Factor 1/3*n**2 + v - 1/6*n.
n*(2*n - 1)/6
Let 0 + 14/5*a**4 + 22/5*a**3 + 2/5*a**5 + 0*a + 2*a**2 = 0. Calculate a.
-5, -1, 0
Find j such that -9/4*j**2 - 9/4*j - 3/4 - 3/4*j**3 = 0.
-1
Suppose 3*x - 2*x = 0. Let u(v) be the second derivative of v - 1/5*v**2 - 1/10*v**4 + x + 4/15*v**3. Factor u(l).
-2*(l - 1)*(3*l - 1)/5
Let w = -8 - -10. Factor n - 2*n**3 + n - 2*n**4 + 0*n**3 + 3*n**2 - n**w.
-2*n*(n - 1)*(n + 1)**2
Let b(d) be the second derivative of -5*d**5/6 + 10*d**4/9 - 4*d**3/9 + 4*d. Find p such that b(p) = 0.
0, 2/5
Let c be -1*(7 + 1)/(-2). Suppose -2*l = -c*l. Factor 6/7*s**3 + l + 2/7*s - 6/7*s**2 - 2/7*s**4.
-2*s*(s - 1)**3/7
Let t be 9/((-4)/((-24)/9)). Let j = 6 - t. Factor 1/2*b**2 + j + 1/2*b.
b*(b + 1)/2
Let c = 64 - 61. Let g(w) be the first derivative of c - 1/3*w**3 - w**2 - w. Factor g(r).
-(r + 1)**2
Suppose -2*t = 3*r - 19, -5*t = 2*r - 0*r - 31. Let h be -2 + (-10)/(-28)*8. Factor -4/7 + 0*a**2 + 2/7*a**r - h*a.
2*(a - 2)*(a + 1)**2/7
Let d be 1/(0 - -1) + 2. Let q(c) = -c**3 - 14*c**2 - 23*c + 15. Let o be q(-12). Factor 0*b**3 - 2*b**o + 8*b**2 - 10*b + 1 + d.
-2*(b - 2)*(b - 1)**2
Let j be 16/2*45/60. Let l = 1 + 2. Solve j*h**3 + 3*h**4 + 9*h**l - 6*h**3 + 6*h**2 = 0.
-2, -1, 0
Let p(i) be the third derivative of 5*i**8/1512 - 8*i**7/945 - 13*i**6/180 - 17*i**5/135 - 2*i**4/27 - 65*i**2. Find a such that p(a) = 0.
-1, -2/5, 0, 4
Let x(q) = -5*q. Let l be x(0). Let k(r) be the third derivative of 0 - 1/3*r**3 + 2*r**2 - 1/24*r**4 + 1/30*r**5 + l*r + 1/120*r**6. Factor k(v).
(v - 1)*(v + 1)*(v + 2)
Let l = -20 + 27. Let f + 0*f + 3*f**2 - 2*f + l*f = 0. Calculate f.
-2, 0
Let n be (-714)/18 + (-2)/(-3). Let g be 2/(-5) + n/(-60). Determine a, given that 3/4*a**3 - 3/4*a + 1/2 - g*a**4 - 1/4*a**2 = 0.
-1, 1, 2
Let f(l) = -2*l**3 - 3*l**2 - 4*l - 1. Let d be f(-1). Factor -2/7*k**d - 2/7 + 4/7*k.
-2*(k - 1)**2/7
Let z(b) = 6 + 2 + b + 0 + 0*b. Let o be z(-6). Let 2/5*l**o + 0*l - 2/5 = 0. Calculate l.
-1, 1
Let a(k) be the first derivative of 0*k + k**2 + 1 + 5/6*k**6 + 11/3*k**3 + 21/4*k**4 + 17/5*k**5. What is b in a(b) = 0?
-1, -2/5, 0
Let p(f) be the second derivative of -1/12*f**3 - 1/30*f**6 - 1/84*f**7 - 1/2*f**2 + 1/6*f**4 - 4*f + 0 + 1/20*f**5. Find h such that p(h) = 0.
-2, -1, 1
Let x(r) be the second derivative of r**6/20 - r**5/40 - r**4/8 + r**3/12 + 20*r. Factor x(b).
b*(b - 1)*(b + 1)*(3*b - 1)/2
Factor -18/11 + 6/11*c**4 - 36/11*c**2 + 48/11*c + 0*c**3.
6*(c - 1)**3*(c + 3)/11
Suppose -5/2*w**3 - 2*w**4 + 3/2*w**2 + 1/2 + 5/2*w = 0. What is w?
-1, -1/4, 1
Let i = -4 - -6. Suppose -6*m + 20 = -m, 0 = -4*h - 3*m + 20. Find g such that -i*g - 4*g**2 - 8 - h*g**3 + 8 = 0.
-1, 0
Let k(j) be the third derivative of j**8/1008 + 2*j**7/315 + j**6/90 - 43*j**2. Find y, given that k(y) = 0.
-2, 0
Factor 0 + 1/9*h**4 - 1/3*h**3 + 0*h + 2/9*h**2.
h**2*(h - 2)*(h - 1)/9
Let t(q) = -q - 3. Let v be t(-3). Let o = -97 + 97. Let 1/4*c**2 + o*c + v = 0. What is c?
0
Let m(u) be the second derivative of u**6/180 + 2*u**5/135 - 5*u**4/108 - 2*u**3/27 - 3*u**2/2 - 9*u. Let j(l) be the first derivative of m(l). Factor j(k).
2*(k - 1)*(k + 2)*(3*k + 1)/9
Let c(t) be the second derivative of 5*t**4/18 + 5*t**3/12 - 5*t**2/12 + 3*t - 17. Solve c(l) = 0.
-1, 1/4
Let t(j) = -26*j**2 + 45*j - 41. Let h(u) = 5*u**2 - 9*u + 8. Let v(x) = 11*h(x) + 2*t(x). Let v(g) = 0. What is g?
1, 2
Let q(c) = 2*c**2 + 6*c - 5. Let j be q(-4). Suppose -j*s = 4*v + 5 + 3, 2*s + 6 = -3*v. Find z, given that 3/2*z**3 - z**2 + 0 - 1/2*z**4 + s*z = 0.
0, 1, 2
Let p(u) be the first derivative of u**6/2 - 33*u**4/4 - 18*u**3 - 12*u**2 + 6. Suppose p(f) = 0. Calculate f.
-2, -1, 0, 4
Factor -16/5*m**2 - 16/5*m**4 + 4/5*m**5 + 4/5*m + 24/5*m**3 + 0.
4*m*(m - 1)**4/5
Let v(o) = o**3 + o - 1. Let b(k) = 5*k**3 + 11*k**2 - 4*k - 4. Let d(g) = 5*b(g) - 40*v(g). Find h such that d(h) = 0.
2/3, 1, 2
Let u be (-4 - -4)/(2 - -1). Let -1/3*q**2 + u + 0*q = 0. Calculate q.
0
Let p = 625 - 2487/4. Let n be 6*1 - (10 - 7). Factor -27/4*r**2 - 7/4*r**4 + p*r - 1/2 + 23/4*r**n.
-(r - 1)**3*(7*r - 2)/4
Solve 2/5*y**3 + 8/5*y**2 + 0*y + 0 = 0 for y.
-4, 0
Factor 32/5 + 24/5*f**2 - 48/5*f - 4/5*f**3.
-4*(f - 2)**3/5
Let w(g) = g**4 - g**3 + g**2 + g. Let m(o) = 3*o**4 - 3*o**3 + 4*o**2 + 3*o. Let d(s) = 4*m(s) - 14*w(s). Let d(l) = 0. Calculate l.
-1, 0, 1
Let n(q) be the first derivative of -q**6/10 + 3*q**4/2 - 4*q**3 + 9*q**2/2 - 5*q - 7. Let u(f) be the first derivative of n(f). Factor u(t).
-3*(t - 1)**3*(t + 3)
Let g(k) = k**2 + k. Let q be g(-2). Suppose -3*a + 9*a**3 + 6*a**2 + 3*a - 3*a**4 - 3*a**q - 9*a**5 = 0. What is a?
-1, -1/3, 0, 1
Let y = 116 - 69. Find a such that a + y + 0*a**2 + a**2 - 47 = 0.
-1, 0
Let i(n) = -n**2 - n + 20. Let m be i(-5). Let g(j) be the second derivative of m*j**6 + 0*j**2 - j + 1/20*j**5 + 0*j**4 - 1/42*j**7 + 0 + 0*j**3. Factor g(d).
-d**3*(d - 1)*(d + 1)
Let w(y) be the second derivative of -8*y**7/21 + 8*y**6/3 - 29*y**5/5 + 16*y**4/3 - 2*y**3 + 32*y. Let w(l) = 0. Calculate l.
0, 1/2, 1, 3
Let t(i) = -3*i**4 - i**3 + 2*i**2 - 5*i. Let g(y) = -3*y**4 + 3*y**2 - 6*y. Let a(r) = -5*g(r) + 6*t(r). What is f in a(f) = 0?
-1, 0
Let r(g) be the third derivative of -g**8/504 + g**6/180 + 4*g**2. Suppose r(s) = 0. Calculate s.
-1, 0, 1
Let -13*w**2 - 29*w**3 - 5*w**2 - 18*w**4 - 11*w**3 - 4*w - 8*w**2 = 0. Calculate w.
-1, -2/9, 0
Let k(w) be the second derivative of -1/8*w**3 + w + 0 - 1/8*w**2 - 1/48*w**4 + 3/80*w**5 + 1/60*w**6. Factor k(g).
(g - 1)*(g + 1)**2*(2*g + 1)/4
Let t(z) be the first derivative of z**2/2 + 10*z + 1. Let i be t(-6). Let 1 + i - p - 1 - p**2 - 2 = 0. What is p?
-2, 1
Factor 4/5*y**2 - 12/5 - 8/5*y.
4*(y - 3)*(y + 1)/5
Let g(v) = -v**4 - v**3 + v**2 - v + 1. Let q(n) = -n**4 - 2*n**3 + 2*n**2 - 2*n + 2. Let p(o) = -4*g(o) + 2*q(o). Factor p(w).
2*w**4
Suppose -3*u + 2 = -5*u. Let v(f) = -2*f + 3*f + 4*f**3 + 1 - 3*f**3. Let d(w) = w**4 - w**3 - 2*w**2 - w. Let m(j) = u*v(j) - d(j). Solve m(s) = 0.
-1, 1
Factor 11*x**3 - 6*x**4 - 9*x**5 - 21*x**3 + 13*x**3.
-3*x**3*(x + 1)*(3*x - 1)
Let t(f) = 2*f**2 + 2*f + 2. Let a be 1/((-1)/(-3)) + -4. Let z be t(a). Suppose 3/4*k**4 + 3/4*k**3 + 0 - 3/4*k - 3/4*k**z = 0. What is k?
-1, 0, 1
Let x(z) = -z**2 - 17*z + 18. Let a be x(1). Solve -1/5*l + 1/5*l**2 + 1/5*l**3 - 1/5*l**4 + a = 0 for l.
-1, 0, 1
Suppose u - 2*u = 2, -h - 5*u - 6 = 0. Suppose -8*a = -10*a + h. Factor -2/9*b**4 + 0*b + 0 + 2/9*b**a + 2/9*b**5 - 2/9*b**3.
2*b**2*(b - 1)**2*(b + 1)/9
Factor 1/2*w**3 - w**2 + 1/2*w + 0.
w*(w - 1)**2/2
Let t(z) = 31*z**4 - 36*z**3 + 5*z**2 + 11*z - 11. Let d(v) = 6*v**4 - 7*v**3 + v**2 + 2*v - 2. Let g(n) = -33*d(n) + 6*t(n). Factor g(i).
-3*i**2*(i - 1)*(4*i - 1)
Let x = 6 - 6. Suppose 3*j = -x*j. Let 1 + 18*l**5 + 3 - 3*l**2 + j - 28*l**3 - 3*l**4 + 12*l + 0 = 0. Calculate l.
-2/3, -1/2, 1
Factor -1/4*l**3 - 1 + 0*l + 3/4*l**2.
-(l - 2)**2*(l + 1)/4
Let m(y) be the third derivative of -3*y**2 + 1/75*y**6 + 1/25*y**5 + 1/15*y**4 + 0 + 1/15*y**3 + 0*y + 1/525*y**7. Find f such that m(f) = 0.
-1
Let q(m) be the first derivative of 2*m**3/45 + 2*m**2/15 + 2*m/15 - 1. Determine j, given that q(j) = 0.
-1
Let j(t) be the second derivative of -t**4/4 + 4*t**3 - 24*t**2 + 12*t. Factor j(u).
-3*(u - 4)**2
Let c = 17/13 - 25/39. Determine u so that 7/3*u**5 - 4*u**4 + 0*u + u**3 + c*u**2 + 0 = 0.
-2/7, 0, 1
Let z(a) be the second derivative of 1/9*a**2 + 0 - 1/27*a**4 + 1/189*a**7 + 1/135*a**6 - 1/45*a**5 + a + 1/27*a**3. Factor z(t).
2*(t - 1)**2*(t + 1)**3/9
Let n(x) be the second derivative of -x**7/42 + x**6/30 + x**5/10 - x**4/6 - x**3/6 + x**2/2 - 7*x. Find l, given that n(l) = 0.
-1, 1
Let f(k) be the third derivative of -k**6/24 - 7*k**5/4 - 245*k**4/8 - 1715*k**3/6 + 2*k**2 + 20. Factor f(s).
-5*(s + 7)**3
Let