 4/3*c**2 + 1/3*c**3.
(c - 2)*(c - 1)**2/3
Let q be 4 + -6 - (-3*2 + 2). Find i such that 0*i**q + 2*i - 2/3*i**3 + 4/3 = 0.
-1, 2
Let c(v) = 4*v**3 + 2*v**2. Let f(i) = 5*i**3 + 2*i**2. Let t(g) = 3*c(g) - 2*f(g). Determine o, given that t(o) = 0.
-1, 0
Let n(c) be the second derivative of -7*c**7/360 - 7*c**6/1080 + c**5/9 + 2*c**4/9 - c**3 + 6*c. Let p(g) be the second derivative of n(g). Factor p(w).
-(w - 1)*(7*w + 4)**2/3
Let n be ((-84)/15 - -3) + -2. Let p = 1/15 - n. Factor 4/9*w**2 + 2/9*w**3 + 0 - p*w**4 + 0*w.
-2*w**2*(3*w - 1)*(7*w + 2)/9
Let q = 16/15 - 2/3. Let -2/5 + 6/5*l + 6/5*l**4 - 4/5*l**3 - 4/5*l**2 - q*l**5 = 0. Calculate l.
-1, 1
Factor -4*p**2 - 40*p - 20 - 5*p**3 - 12*p**2 - 8*p**2 - p**2.
-5*(p + 1)*(p + 2)**2
Factor 33*x**2 + 6*x - 2*x - 31*x**2.
2*x*(x + 2)
Let i(t) be the first derivative of t**5/45 - t**3/27 + 6. Let i(y) = 0. What is y?
-1, 0, 1
Let m(n) = n**4 - n**3 + n**2 - n. Let v(d) = 40*d**5 - 33*d**4 - 112*d**3 + 7*d**2 + 48*d - 10. Let l(z) = 3*m(z) + v(z). Let l(i) = 0. What is i?
-1, 1/4, 1/2, 2
Let l be 1 + -1 - 270/(-5). Let w be l/12 + -1*4. Factor 0 + 13/2*n**4 - n - w*n**2 + 9/2*n**3 + 5/2*n**5.
n*(n + 1)**3*(5*n - 2)/2
Let o(g) = 9*g**5 - 5*g**4 - 13*g**3 - 9*g**2 - 3*g + 7. Let z(j) = 8*j**5 - 4*j**4 - 12*j**3 - 8*j**2 - 2*j + 6. Let k(c) = -6*o(c) + 7*z(c). Factor k(a).
2*a*(a - 1)**2*(a + 1)*(a + 2)
Let n(v) be the second derivative of 25*v**4/48 + 5*v**3/6 + v**2/2 - 14*v. Factor n(m).
(5*m + 2)**2/4
Let l be (-12)/(-30) + (-36)/(-10). Suppose 0 = 2*q - q - l. Factor 1/5*m - 2/5*m**q - 1/5*m**5 + 2/5*m**2 + 0 + 0*m**3.
-m*(m - 1)*(m + 1)**3/5
Let p(k) = k**2 + 8*k + 2. Let s be p(-8). Let u(x) = x**2 - 4*x. Let o be u(5). Factor -o*g**3 + g - 3*g - 9*g**s - 2*g**3.
-g*(g + 1)*(7*g + 2)
Let x(t) be the second derivative of 0 - 1/9*t**3 - 1/30*t**5 - 1/9*t**4 + 0*t**2 - t. Factor x(p).
-2*p*(p + 1)**2/3
Let s be -3 + (35/(-112))/((-1)/12). Let -1/2*t**3 + s*t - 1/4 - 1/4*t**5 - 1/2*t**2 + 3/4*t**4 = 0. What is t?
-1, 1
Let x(a) = 7*a**4 - 7*a**3 + 18*a**2 - 26*a + 8. Let d(w) = -8*w**4 + 7*w**3 - 18*w**2 + 27*w - 8. Let r(c) = 6*d(c) + 7*x(c). Find y, given that r(y) = 0.
1, 2
Let c(p) be the second derivative of -3/40*p**5 + 1/2*p**4 + 0*p**2 - 3/4*p**3 - 6*p + 0. Let c(q) = 0. Calculate q.
0, 1, 3
Factor 4/5*q - 2/5 - 2/5*q**2.
-2*(q - 1)**2/5
Let t(q) = 3*q + 3. Let g be t(5). Suppose -g = -4*r - w, -2*r - w = -0*r - 10. Find p, given that 0 + 1/3*p**2 + p**3 - p**5 - 1/3*p**r + 0*p = 0.
-1, -1/3, 0, 1
Suppose -2/3*o**2 + 0 + 0*o + 2/3*o**3 = 0. Calculate o.
0, 1
Let y(v) be the third derivative of -1/40*v**6 - 1/20*v**5 + 0*v - 1/210*v**7 - 1/24*v**4 + 0*v**3 - v**2 + 0. Factor y(k).
-k*(k + 1)**3
Let w = -11 - -22. Let f be 24/28*7/w. Find i, given that -2/11*i**3 - 4/11*i - f*i**2 + 0 = 0.
-2, -1, 0
Let j(n) = n - 3. Suppose -5*g + 7*k - 3*k = -25, -2*k - 10 = -2*g. Let p be j(g). Factor 18/7*f**p - 4/7*f + 0.
2*f*(9*f - 2)/7
Let i(h) be the first derivative of -2/7*h**3 + 1 - h**2 - 8/7*h. Determine m so that i(m) = 0.
-4/3, -1
Let m(g) be the third derivative of g**2 - 2/15*g**5 - 1/12*g**6 + 0*g**3 + 0*g - 2/105*g**7 + 0 - 1/12*g**4. Factor m(p).
-2*p*(p + 1)**2*(2*p + 1)
Factor -7*l**2 + l**2 + 6*l - 4*l.
-2*l*(3*l - 1)
Let r(q) be the first derivative of -32*q**3/9 + 8*q**2/3 - 2*q/3 - 7. Determine i, given that r(i) = 0.
1/4
Factor 3/2*c**2 - 3/2 + 3/4*c**3 - 3/4*c.
3*(c - 1)*(c + 1)*(c + 2)/4
Factor -3 + x**2 - 5 + 3*x**2 + 3*x + x.
4*(x - 1)*(x + 2)
Let g(q) be the second derivative of q**5/10 - q**4/6 + 2*q. Solve g(l) = 0.
0, 1
Let w(n) be the first derivative of n**6/51 + 2*n**5/85 - 3*n**4/17 - 28*n**3/51 - 11*n**2/17 - 6*n/17 + 6. Factor w(p).
2*(p - 3)*(p + 1)**4/17
Let q(f) = -f**3 - f**2 + f + 1. Let o be q(0). Let u be (-3 + 3)*(-1)/o. Factor 4/5*x + u - 2/5*x**2.
-2*x*(x - 2)/5
Let w(b) be the third derivative of 1/315*b**7 - 1/90*b**5 + 1/180*b**6 + 0*b + 0 - 1/504*b**8 - 6*b**2 + 0*b**3 + 0*b**4. Factor w(k).
-2*k**2*(k - 1)**2*(k + 1)/3
Suppose 6*o - o = 4*d, -d - 3*o + 17 = 0. Suppose -p = 0, 3*y - p = -2*y + d. Suppose -4*z + y + z + z**2 + 5*z = 0. What is z?
-1
Let d be (30/(-9) - -4)/20. Let t(i) be the second derivative of 1/5*i**5 + 1/2*i**4 + 1/2*i**2 + 2/3*i**3 + 0 + d*i**6 - 3*i. Determine m, given that t(m) = 0.
-1
Let p be (-60)/(-3)*(0 + (-2)/(-18)). Find w, given that p*w + 50/9*w**2 + 2/9 = 0.
-1/5
Let a(g) = g**4 - 2*g**3 + 3*g**2 + 6*g. Let k(l) = -l**4 + 2*l**3 - 4*l**2 - 7*l. Let y(u) = -5*a(u) - 4*k(u). Let y(f) = 0. Calculate f.
-1, 0, 1, 2
Let s(n) be the first derivative of 1/13*n**2 - 1/13*n**4 + 2/65*n**5 + 2/13*n - 4/39*n**3 + 1/39*n**6 - 2. Factor s(y).
2*(y - 1)**2*(y + 1)**3/13
Let p(z) be the second derivative of -z**6/420 + z**5/105 - z**4/84 + z**3/2 + z. Let x(m) be the second derivative of p(m). Find o, given that x(o) = 0.
1/3, 1
Let b be 15/20 - (-106)/(-40). Let x = 12/5 + b. Factor -1/2*t**4 + 0 + 0*t**2 + x*t**3 + 0*t.
-t**3*(t - 1)/2
Let -8/5 - 2*f**2 + 14/5*f**3 - 32/5*f = 0. Calculate f.
-1, -2/7, 2
Let f = 3 - 2. Suppose 2*p = 3*q - 10, 1 = -2*p + q - f. Factor i**4 - 2*i**2 + 0*i + 2*i**3 + p - i**5 - 2*i + i.
-(i - 1)**3*(i + 1)**2
Suppose 3*h + 2 = 4*h. Solve 0*f**3 - 3/8*f**4 + 0*f + 3/8*f**h + 0 = 0 for f.
-1, 0, 1
Let r = 20 - 13. Let v(x) = -3*x**2 - 11*x - 1. Let g(f) = -f**2 - 5*f - 1. Let n(o) = r*g(o) - 3*v(o). Suppose n(k) = 0. What is k?
-1, 2
Let o be 1*(-1)/2*-1. Suppose -2*d + 7*d = 0. Let d - 1/2*f**3 - o*f**2 + 0*f = 0. Calculate f.
-1, 0
Let v = 1 + -5. Let i(h) = -h**4 - h**3 + h**2 + h + 1. Let l(n) = -3*n**4 - 5*n**3 + 4*n**2 + 4*n + 4. Let j(d) = v*i(d) + l(d). Factor j(b).
b**3*(b - 1)
Let u(w) be the second derivative of -w**5/5 - 2*w**4/3 + 3*w. Factor u(m).
-4*m**2*(m + 2)
Let g(s) be the third derivative of 0 + 0*s**5 - 1/560*s**8 - 1/200*s**6 + 0*s - 1/175*s**7 + 0*s**3 - s**2 + 0*s**4. Factor g(o).
-3*o**3*(o + 1)**2/5
Let f(m) be the first derivative of -m**4/8 - m**3/6 + 5*m**2/4 - 3*m/2 + 1. Factor f(n).
-(n - 1)**2*(n + 3)/2
Suppose 4 = 2*i - 4*t - 0*t, -3*i = 3*t - 6. Factor 0 - 1/3*w**4 + 1/3*w**3 + 1/3*w**i - 1/3*w.
-w*(w - 1)**2*(w + 1)/3
Suppose b**2 - 2*b**2 + 0*b**2 + 4*b**2 = 0. Calculate b.
0
Let w(f) be the first derivative of -2/9*f**3 - 1 + 0*f - 1/3*f**2. Factor w(n).
-2*n*(n + 1)/3
Let r(n) be the third derivative of n**6/40 + n**5/120 - 5*n**4/48 - n**3/6 + 16*n**2. Factor r(w).
(w - 1)*(2*w + 1)*(3*w + 2)/2
Let i = 118 - 115. Find a, given that 2/5*a**5 - 8/5*a**2 - 2*a**4 + 0*a + 16/5*a**i + 0 = 0.
0, 1, 2
Find a such that 0 + 3/5*a**3 + 4/5*a**2 - 4/5*a + 1/5*a**5 - 4/5*a**4 = 0.
-1, 0, 1, 2
Let t = -406 - -4067/10. Let v(p) be the second derivative of -2/15*p**6 + 0 - 3/2*p**4 - 3*p + 5/3*p**3 - p**2 + t*p**5. Let v(j) = 0. Calculate j.
1/2, 1
Let y(p) be the first derivative of -p**6/42 - 2*p**5/35 + p**4/28 + 2*p**3/21 - 53. Suppose y(a) = 0. Calculate a.
-2, -1, 0, 1
Let q(o) be the second derivative of -o**4/20 - o**3/10 + 3*o**2/5 + 3*o. Suppose q(j) = 0. What is j?
-2, 1
Let s be 1/(8/6*12/8). Factor s*j + 1/2*j**2 - 1.
(j - 1)*(j + 2)/2
Let j(x) = -3*x - 5. Let b be (20/(-25))/((-1)/(-5)). Let k be j(b). Suppose -2*q**5 + 0*q**5 + 2*q**4 - k + 7 = 0. What is q?
0, 1
Let b(w) be the first derivative of -2*w**6/21 - 36*w**5/35 - 24*w**4/7 - 64*w**3/21 - 9. Factor b(m).
-4*m**2*(m + 1)*(m + 4)**2/7
Let q be 9/1*6/18. Let v be ((-1)/1)/((-3)/1). Determine s so that 0*s**q - v*s**4 + 0*s + 0 + 1/3*s**2 = 0.
-1, 0, 1
Let v(y) be the second derivative of y**4/6 - 4*y**3 + 36*y**2 - 36*y. Factor v(f).
2*(f - 6)**2
Let w(a) = -a**2 + 14*a - 9. Let c be w(13). Determine n so that -2/5*n**3 + 0*n**2 - 2/5*n**c + 0*n + 0 = 0.
-1, 0
Let l(h) be the third derivative of -h**8/120 + 3*h**7/175 + h**6/25 - 2*h**5/75 + 9*h**2. Suppose l(z) = 0. What is z?
-1, 0, 2/7, 2
Let g(i) be the second derivative of 1/3*i**4 + 0 + 0*i**2 + 5*i + 0*i**3 + 1/10*i**5. Factor g(l).
2*l**2*(l + 2)
Suppose 5*o + 20 = 9*o. Suppose -7*b = -o*b. What is j in 0*j**2 + 1/4*j**3 + b - 1/4*j = 0?
-1, 0, 1
Let t(n) be the first derivative of 4*n**3/3 - 10*n**2 + 16*n - 16. Determine y, given that t(y) = 0.
1, 4
Let h(p) be the second derivative of -p**4/18 + p**3/9 + 2*p**2/3 - 7*p. Factor h(j).
-2*(j -