k**2*(k - 2)*(k - 1)**2/3
Let -3*g**2 + g**2 + 3*g**2 = 0. What is g?
0
Let q = 6 - 5. Suppose 0 = 2*k - 3*p - 7, 3*p = -k - 0*p - q. Find x such that 0*x**2 + 2*x**3 - k*x**2 + x**2 - 3*x**4 + x**5 + x**3 = 0.
0, 1
Let l(q) = -13*q**2 + 4*q + 24. Let g(f) = -6*f**2 + 2*f + 12. Let s(d) = -9*g(d) + 4*l(d). Factor s(b).
2*(b - 3)*(b + 2)
Let c(p) be the first derivative of p**7/120 + 2*p**6/45 + p**5/30 + 2*p**3/3 - 2. Let m(o) be the third derivative of c(o). Let m(f) = 0. What is f?
-2, -2/7, 0
Let g(o) be the third derivative of o**7/105 - o**6/20 + o**5/15 - 2*o**2. Factor g(w).
2*w**2*(w - 2)*(w - 1)
Let j(k) be the second derivative of -k**5/70 - k**4/14 + k**3/21 + 3*k**2/7 + 17*k. Factor j(g).
-2*(g - 1)*(g + 1)*(g + 3)/7
Let s(w) be the third derivative of -w**5/150 + 3*w**3/5 - 48*w**2. Factor s(n).
-2*(n - 3)*(n + 3)/5
Let 24*y + 3*y**2 - 28*y**3 + 3*y**5 + y**3 + 9*y**4 - 30*y**4 + 18*y**2 = 0. What is y?
-1, 0, 1, 8
Find t, given that -18/7*t**3 + 0*t + 12/7*t**4 + 0 + 0*t**2 - 2/7*t**5 = 0.
0, 3
Let y(v) be the third derivative of 2*v**7/3 - 55*v**6/24 + 2*v**5 + 25*v**4/24 - 5*v**3/3 - v**2. Suppose y(f) = 0. Calculate f.
-2/7, 1/4, 1
Let m be (4/(-1) + 2)*2. Let x be 6/m*3/(-9). Factor 1/4*y**2 - x - 1/4*y.
(y - 2)*(y + 1)/4
Let g be (2 + -4)*1 - 28/(-7). Let t(x) be the first derivative of 3 + 1/10*x**g - 1/15*x**3 + 2/5*x. Factor t(s).
-(s - 2)*(s + 1)/5
Let q(m) = -m**3 + 8*m**2 - m + 11. Let v be q(8). Suppose -j - 13 = -4*f, j + 2 = -v. Factor 2/3*z**f + 0 - 4/3*z.
2*z*(z - 2)/3
Let s = -6/271 - -289/813. Let 1/3*y - s - 1/3*y**3 + 1/3*y**2 = 0. Calculate y.
-1, 1
Solve -8*b**2 - 4 - 37*b + 14*b - 2*b**3 + 13*b = 0 for b.
-2, -1
Let m be 2/40*4*2. Factor -2/5*x + 4/5*x**3 + 4/5*x**2 - 2/5 - 2/5*x**5 - m*x**4.
-2*(x - 1)**2*(x + 1)**3/5
Suppose -3*y + 107 = -319. Let v = 996/7 - y. Factor 2/7*m**2 - 4/7*m + v.
2*(m - 1)**2/7
Let t(g) be the second derivative of g**4/12 - g**3/6 - g**2 + 22*g. Determine z so that t(z) = 0.
-1, 2
Let j(c) be the first derivative of 9*c**4/2 + 12*c**3 + 12*c**2 + 16*c/3 + 3. Factor j(r).
2*(3*r + 2)**3/3
Let w(n) = -n**2 + 7*n - 3. Let r be w(7). Let j = r + 3. Factor b + 0*b + j*b + b**2.
b*(b + 1)
Suppose -2*l - 11 = 1. Let c(s) = -s**3 - s**2 + s. Let j(q) = -7*q**3 - 6*q**2 + 7*q. Let f = 6 + -5. Let t(a) = f*j(a) + l*c(a). Factor t(u).
-u*(u - 1)*(u + 1)
Let v(d) be the second derivative of -d**9/52920 + d**8/11760 - d**7/8820 - d**4/4 + 4*d. Let b(q) be the third derivative of v(q). Solve b(u) = 0 for u.
0, 1
Suppose 0 + 0*f**3 + 4/9*f**2 + 2/9*f**5 - 4/9*f**4 - 2/9*f = 0. What is f?
-1, 0, 1
Let j(s) be the second derivative of -4*s + 0*s**3 + 1/6*s**4 + 0*s**5 + 0 - 1/30*s**6 - 1/2*s**2. Suppose j(f) = 0. Calculate f.
-1, 1
Let h(d) be the first derivative of -d**3 - 7*d**2 - 14*d - 10. Let s(j) = -48*j**2 - 225*j - 225. Let z(x) = 33*h(x) - 2*s(x). Determine b so that z(b) = 0.
-2
Let r = -67 + 67. Factor 0 - 1/2*m**3 - m**2 + r*m.
-m**2*(m + 2)/2
Let w(s) = -32*s**3 + 132*s**2 + 32*s - 108. Let n(z) = 13*z**3 - 53*z**2 - 13*z + 43. Let g(k) = 12*n(k) + 5*w(k). Let g(v) = 0. Calculate v.
-1, 1, 6
Let m(s) = -s**3 + s**2 - s. Let f(g) = 2*g**3 + 3*g**2 + 6*g + 2. Let c(z) = 4*f(z) + 4*m(z). Factor c(p).
4*(p + 1)**2*(p + 2)
Let y(n) be the first derivative of 6/5*n**5 - 3/2*n**4 - 1/3*n**6 + 0*n + 2/3*n**3 + 0*n**2 - 1. Factor y(x).
-2*x**2*(x - 1)**3
Let q(t) = 8*t**2 - t + 9. Suppose 4*p + 18 = 7*p. Let b(x) = 7*x**2 - 2*x + 8. Let c(g) = p*b(g) - 5*q(g). Solve c(d) = 0.
1/2, 3
Let n(t) be the first derivative of 1/2*t**4 - 2/3*t**3 + 3/5*t**5 + 5 - t + 1/6*t**6 - 3/2*t**2. Let n(h) = 0. Calculate h.
-1, 1
Let k(g) be the second derivative of g**2 + 0*g**3 + 0 - 1/210*g**5 + g - 1/84*g**4. Let j(u) be the first derivative of k(u). Factor j(l).
-2*l*(l + 1)/7
Let i(t) = -3*t**4 + t**3 - t**2 - t - 2. Let l(b) = -b**4 + b**3 - b**2 - b - 1. Let g(p) = i(p) - 2*l(p). Find o such that g(o) = 0.
-1, 0, 1
Let g be 57/60 + 1/(-5). Factor -3/4*j**2 + 0 - g*j.
-3*j*(j + 1)/4
Suppose 5*y = 4*b + 2, 7 = 2*b - y + 5. Suppose 5*t - 15 = g, -5*g + 15 = 4*t + t. What is v in -4*v**2 + 1 - v - b*v**2 - 3*v**3 + 0*v**t + v**2 = 0?
-1, 1/3
Suppose 3*a - 2*w + 3 = -7*w, 3*w - 7 = -4*a. Let h be ((-2)/a)/((-2)/12). Solve 2*c - 1 - h*c - c**2 - c = 0 for c.
-1
Let y(m) be the third derivative of -1/15*m**5 + 2*m**2 + 0*m**3 + 0 - 1/12*m**4 - 1/60*m**6 + 0*m. Let y(h) = 0. What is h?
-1, 0
Suppose 4*g + 23 = 5*g - 2*d, 4*g + 2*d - 42 = 0. Let s = 15 - g. Factor 0*x + 1/3*x**3 - 1/3*x**s + 0.
x**2*(x - 1)/3
Let t(w) be the third derivative of -w**7/210 - w**6/10 - w**5/2 + 25*w**4/6 + 125*w**3/2 + 18*w**2. Solve t(f) = 0 for f.
-5, 3
Factor -1/6*c**4 + 1/3*c + 0 - 1/3*c**3 + 1/6*c**2.
-c*(c - 1)*(c + 1)*(c + 2)/6
Let t(a) be the third derivative of -a**5/20 - a**4/4 + 3*a**3/2 + 6*a**2. Factor t(j).
-3*(j - 1)*(j + 3)
Let j(u) = 5*u**3 + 2*u - 2. Let k be j(1). Let g = -10 - -15. Let 4*z**k + z**5 - 5*z**3 - 2*z**g + 3*z**4 - 3*z**2 + 2*z**3 = 0. Calculate z.
-1, 0, 1
Let f = 10 - 7. Let l = -1 + f. Suppose c**5 + 0*c**4 - l*c**4 + c**4 = 0. What is c?
0, 1
Let r(i) be the second derivative of -1/9*i**4 + 1/9*i**3 + 2*i + 1/30*i**5 + 0 + 0*i**2. Solve r(o) = 0.
0, 1
Let g(r) = r**2 + 1. Let f(o) = 4*o**2 - 4*o - 2. Let c(x) = -2*f(x) + 6*g(x). Let c(z) = 0. Calculate z.
-1, 5
Factor 5*s**3 + 60*s - 28*s**2 + 13 - 26 - 2*s**2 - 27.
5*(s - 2)**3
Let k(i) be the second derivative of i**5/20 - 7*i**4/6 + 49*i**3/6 - 9*i. Factor k(a).
a*(a - 7)**2
Factor -18/5*o**2 + 3/5*o**3 + 27/5*o + 0.
3*o*(o - 3)**2/5
Let o(x) be the second derivative of -2/15*x**6 + 0*x**3 + 0*x**2 + 3*x + 0 + 0*x**4 + 1/10*x**5 + 1/21*x**7. Solve o(a) = 0 for a.
0, 1
Let x be (-2 - 7) + (-12)/(-4). Let s be (-2)/(-10) + x/(-20). Solve 1/2*j + s*j**2 + 0 = 0 for j.
-1, 0
Let g(s) be the third derivative of 0 + 0*s**4 + 0*s + 1/180*s**6 + 1/2*s**3 - 2*s**2 - 1/60*s**5. Let w(r) be the first derivative of g(r). Solve w(d) = 0.
0, 1
Let h be (-5)/(15/9) - -5. Let a = -2 + h. What is p in -2/5*p**2 + a*p + 2/5 = 0?
-1, 1
Let v(o) be the second derivative of 5*o**4/18 + 22*o**3/9 + 8*o**2/3 - 10*o. Factor v(f).
2*(f + 4)*(5*f + 2)/3
Factor -3*q - 5*q + 3*q**2 - q + 6.
3*(q - 2)*(q - 1)
Let q(b) be the second derivative of 0 + 0*b**3 + 0*b**5 + 0*b**2 - 1/30*b**4 - 2*b + 1/75*b**6. Find g, given that q(g) = 0.
-1, 0, 1
Let 1 - 1/2*w**4 - 1/2*w**2 + 3/2*w**3 - 3/2*w = 0. What is w?
-1, 1, 2
Let x(s) = -s**2 + 5*s + 8. Let o be x(6). Determine i, given that -i**3 + 2*i**2 - i**o + 0*i**2 = 0.
0, 1
Let t(b) = -b**3 + 2*b**2 + 3*b - 2. Let q be t(2). Let c = 6 - q. Factor 0*m**c + 0 + 0*m + 8/5*m**4 + 2/5*m**3.
2*m**3*(4*m + 1)/5
Let i(l) = 6*l**3 - 5*l**2 + 6*l - 7. Let p(w) = -w**3 + w**2 - w + 1. Let t(s) = 3*i(s) + 21*p(s). Solve t(u) = 0 for u.
0, 1
Suppose 2/5*p**5 + 0*p + 4/5*p**4 - 4/5*p**2 + 0 - 2/5*p**3 = 0. Calculate p.
-2, -1, 0, 1
Let n(p) be the second derivative of 5*p - 1/5*p**5 - 1/105*p**7 + 0 - 1/15*p**6 - 1/5*p**2 - 1/3*p**3 - 1/3*p**4. Solve n(o) = 0 for o.
-1
Let x be 3/1*2/3. Let k(h) be the first derivative of 7/4*h**x + 1 - h + 2/3*h**3. Let k(j) = 0. Calculate j.
-2, 1/4
Let z be (3/(6/(-4)))/((-47)/141). Let j(q) be the third derivative of 1/210*q**z - 2*q**2 + 0 + 0*q - 1/42*q**4 + 1/735*q**7 + 0*q**5 - 1/21*q**3. Factor j(s).
2*(s - 1)*(s + 1)**3/7
Let k(l) be the second derivative of l**5/4 + 5*l**4/6 - 50*l**3/3 + 60*l**2 - 7*l - 1. Factor k(b).
5*(b - 2)**2*(b + 6)
Suppose -4*k = -3*f - 3, -5*f + 2*f - 3 = 0. Factor 2/5 - 2/5*t**4 - 4/5*t + 4/5*t**3 + k*t**2.
-2*(t - 1)**3*(t + 1)/5
Let x(w) = w**3 - 4*w**2 + 3*w. Let g = 1 + 2. Let s be x(g). Let 0*c + c**4 + s + 1/3*c**2 - 1/3*c**5 - c**3 = 0. What is c?
0, 1
Let n(k) be the first derivative of 0*k + 0*k**2 + 3 + 2/45*k**5 + 1/18*k**4 - 4/27*k**3. Factor n(u).
2*u**2*(u - 1)*(u + 2)/9
Let h = -3 - 4. Let b(f) = 13*f**5 + f**4 + f**3 + 13*f**2 - 7*f - 7. Let v(t) = 4*t**5 + 4*t**2 - 2*t - 2. Let s(a) = h*v(a) + 2*b(a). Factor s(z).
-2*z**2*(z - 1)**2*(z + 1)
Find w, given that 4*w**4 - 319*w - 6*w**5 - 4*w**2 + 319*w + 6*w**3 = 0.
-1, 0, 2/3, 1
Let v(f) be the third derivative of f**5/270 + f**4/108 - 2*f**3/27 + 11*f**2. Factor v(c).
2*(c - 1)*(c + 2)/9
Let p =