r**3/7 - 3*r**2/14 + 6*r/7 + 3. What is m in k(m) = 0?
-2, 1
Factor 0 + 1/2*z + 3/2*z**2.
z*(3*z + 1)/2
Let u(a) be the third derivative of a**6/12 - 2*a**5/15 - a**4/12 + 21*a**2. Solve u(c) = 0 for c.
-1/5, 0, 1
Let i = -89/5 - -643/35. Find n, given that 0 + 2/7*n - 2/7*n**3 - 4/7*n**2 + i*n**4 = 0.
-1, 0, 1/2, 1
Let v(c) be the second derivative of -3*c - 3/4*c**3 - 1/16*c**4 - 27/8*c**2 + 0. Find s, given that v(s) = 0.
-3
Let j(i) = i**2 - 1. Let m be j(-1). Suppose 3*h = 2*d + 8, -4*d + 5*h = -0*h + 12. Find g such that m + 1/2*g**d - 1/2*g = 0.
0, 1
Suppose -2*a + 4*r + 26 = -r, a - 19 = 4*r. Let k be (12/(-10))/((-3)/10). Solve n**2 - 7*n**a - 3*n**2 + 0*n**3 - 5*n**k = 0 for n.
-1, -2/5, 0
Let x(b) be the third derivative of 3*b**6/100 - 2*b**5/25 + b**4/15 - 11*b**2. Determine g, given that x(g) = 0.
0, 2/3
Let p(j) = -j**4 - 39*j**3 - 48*j**2 - 4*j - 8. Let b(i) = i**4 + 26*i**3 + 32*i**2 + 3*i + 5. Let d(r) = -8*b(r) - 5*p(r). Suppose d(m) = 0. Calculate m.
-2, -1/3, 0
Suppose -4*a = -4*l - 20, -3*a - 25 = -4*a + 5*l. Factor -f**2 + f - 3 + 4 - f**3 + a*f.
-(f - 1)*(f + 1)**2
Let m(x) be the third derivative of 1/20*x**5 + 0 - 3*x**2 - x**3 - 1/8*x**4 + 0*x. Find f, given that m(f) = 0.
-1, 2
Let c be (-38)/4*(-4)/2. Suppose 87 = 4*x + c. Factor -w**5 - w**5 - 19*w**2 + 2*w**3 + x*w**2 - w**4 + 3*w**4.
-2*w**2*(w - 1)**2*(w + 1)
Let 4*p - 32*p**2 - 28*p**4 - 147/4*p**5 + 74*p**3 + 0 = 0. Calculate p.
-2, 0, 2/7, 2/3
Suppose 2 = n - 2. Solve b**3 + 2*b**2 + 11*b - b**n - 11*b = 0 for b.
-1, 0, 2
Suppose -c + 3*j = 13, c - 2*c = 4*j - 8. Let d(h) = h**2 + 4*h. Let n be d(c). What is g in -1/5*g + 4/5*g**4 - 1/5*g**5 - 6/5*g**3 + 4/5*g**2 + n = 0?
0, 1
Factor 4*m**4 + 7*m**2 - 18*m**2 + 4*m**3 + 3*m**2.
4*m**2*(m - 1)*(m + 2)
Let n(w) be the second derivative of -w**7/42 - w**6/5 - 13*w**5/20 - w**4 - 2*w**3/3 - 17*w. Solve n(a) = 0.
-2, -1, 0
Let p(x) = -x**3 + 2*x**2 + 2. Let b(r) = -6*r**3 + 15*r**2 + 15. Let h(n) = 2*b(n) - 15*p(n). Factor h(m).
3*m**3
Let 6/5*g**2 - 9/5*g - 1/5*g**3 + 0 = 0. What is g?
0, 3
Suppose 2*i**3 + 2*i**2 + 0*i**3 + 2*i + 3*i - 7*i - 2 = 0. Calculate i.
-1, 1
Let d(r) = r**2 - 7*r + 3. Let f be d(7). Let a be (f - (-2 + 2)) + 1. Suppose 0 - 6/5*m**2 - 2/5*m - 6/5*m**3 - 2/5*m**a = 0. What is m?
-1, 0
Let f(d) = 2*d**2 + 15*d + 9. Let g be f(-7). Factor -2/5*n**3 + 4/5*n**4 + 0*n**g + 0*n + 0 - 2/5*n**5.
-2*n**3*(n - 1)**2/5
Let y(x) = -3*x - 1. Let c be y(1). Let s be 0 + c/(-2) + 1. Find d, given that d**s + d**3 - d + 0*d - d**5 = 0.
-1, 0, 1
Let p(r) be the third derivative of -r**6/300 - 11*r**5/150 - 2*r**4/5 + 12*r**3/5 + 30*r**2. Factor p(m).
-2*(m - 1)*(m + 6)**2/5
Let z(y) = -y**3 - 13*y**2 - 12*y. Let x be z(-12). Suppose 2*r + 4*r = 0. Determine c, given that 1/6*c**2 + x + r*c = 0.
0
Solve 5/2*u + 2*u**2 + 1/2*u**3 + 1 = 0.
-2, -1
Let y(w) be the third derivative of 0*w - 4*w**2 + 1/120*w**5 + 1/480*w**6 + 1/96*w**4 + 0 + 0*w**3. Let y(t) = 0. Calculate t.
-1, 0
Let h be (-342)/(-405) - (2 - (-8)/(-5)). Factor 2 - 8/9*f**3 + 8/3*f + 2/9*f**4 - h*f**2.
2*(f - 3)**2*(f + 1)**2/9
Factor -18/5*j**3 - 3/5*j**4 - 9/5 - 6*j - 36/5*j**2.
-3*(j + 1)**3*(j + 3)/5
Let o = 467/420 + -23/21. Let i(l) be the second derivative of 0*l**2 - o*l**6 - 1/84*l**7 + 0*l**4 + 0 + 0*l**3 - 2*l + 0*l**5. Factor i(d).
-d**4*(d + 1)/2
Let o(u) = -u**2 + 7*u - 6. Let l be o(9). Let f be 4/(-30)*l/16. Factor 0 + f*b**3 + 1/5*b**2 - 2/5*b.
b*(b - 1)*(b + 2)/5
Let r(z) be the third derivative of 1/30*z**5 + 0*z**3 + 1/24*z**4 + z**2 + 1/120*z**6 + 0 + 0*z. Determine y, given that r(y) = 0.
-1, 0
Let h(a) be the second derivative of a**5/5 + a**4 + 4*a**3/3 + 33*a - 2. Let h(x) = 0. What is x?
-2, -1, 0
Let r(g) be the first derivative of -g**3/3 + g - 4. Suppose r(m) = 0. Calculate m.
-1, 1
Let o(h) = -h**4 - 7*h**3 + 4*h**2 + 4. Let w(q) = 2*q**4 + 14*q**3 - 9*q**2 - 9. Let z(m) = 9*o(m) + 4*w(m). Determine s, given that z(s) = 0.
-7, 0
Let n = -8 + 17. Determine p, given that 0*p + 10*p**3 + 2*p**2 + p - n*p**3 = 0.
-1, 0
Let p(i) be the third derivative of 0*i**3 + 7*i**2 + 1/420*i**6 + 0 + 1/105*i**5 + 0*i + 1/84*i**4. Suppose p(j) = 0. What is j?
-1, 0
Let o be (-11)/(-12) + 81/12 + -7. Factor 4/9*m**3 + 0*m - o*m**2 + 2/9.
2*(m - 1)**2*(2*m + 1)/9
Let d(l) = -l**4 + l**3. Suppose 8*j = 3*j + 10. Let u(g) = -2*g**5 - 3*g**4 + 3*g**3. Let y(v) = j*u(v) - 4*d(v). Factor y(h).
-2*h**3*(h + 1)*(2*h - 1)
Let f(y) = -y**2 + y + 4. Let c be f(0). Let g = -1 + c. Factor 0 + 49/3*h**5 + 56*h**4 + 16/3*h - 32*h**2 + 88/3*h**g.
h*(h + 2)**2*(7*h - 2)**2/3
Factor -12/5*f**2 - 6/5 - 27/5*f.
-3*(f + 2)*(4*f + 1)/5
Let j(t) be the first derivative of 5 + 1/10*t**2 + 0*t + 1/15*t**3. Solve j(m) = 0.
-1, 0
Let p be ((-144)/(-45))/(1/5). Let g be p/(-252) + (-4)/(-14). Factor 0 + 0*b**2 + 0*b - g*b**3 + 0*b**4 + 2/9*b**5.
2*b**3*(b - 1)*(b + 1)/9
Let u(y) be the first derivative of -3*y**4/16 + 9*y**2/8 + 3*y/2 + 10. Let u(k) = 0. Calculate k.
-1, 2
Let n(p) be the first derivative of 7*p**2 - 73/3*p**3 + 32/3*p**6 + 43*p**4 - 2 - p - 176/5*p**5. Factor n(v).
(v - 1)**2*(4*v - 1)**3
Suppose 10 = 2*a - 0. Suppose -a*v = -2*r - 16, -2*r - 9 + 1 = -v. Factor -2*s - v*s - s**2 + 4 + 2*s**2.
(s - 2)**2
Let g(i) be the third derivative of 0*i - 1/30*i**6 - 1/30*i**5 + 1/6*i**4 + 1/105*i**7 + 0 + 2*i**2 + 0*i**3. Factor g(b).
2*b*(b - 2)*(b - 1)*(b + 1)
Suppose -44 = 5*n - 59. Determine u so that -2/5*u**n + 0*u - 4/5*u**4 + 0 + 4/5*u**2 + 2/5*u**5 = 0.
-1, 0, 1, 2
Let a(i) = 4*i + 8. Let l be a(-6). Let n be 6*(14/l)/(-7). Factor -1/2*o**2 - n*o**5 + 0 + 0*o + 1/4*o**3 + o**4.
-o**2*(o - 1)**2*(3*o + 2)/4
Suppose -7*r**2 - 12*r - 29*r**2 + 20*r**4 + 27*r**3 + r**4 = 0. What is r?
-2, -2/7, 0, 1
Let h(d) = 12*d**2 + 81*d + 108. Let l = 29 - 20. Let f(t) = -3*t**2 - 20*t - 27. Let m(y) = l*f(y) + 2*h(y). Determine v so that m(v) = 0.
-3
Let h = 2/11 + -27/88. Let v = 11/24 + h. Factor 0*g**2 + v*g**4 + 0 + 0*g**3 + 0*g - 1/3*g**5.
-g**4*(g - 1)/3
Let g(u) = -1 - u**2 + 5*u**2 + 2*u - u**2. Let q be g(1). Factor -32 + 2*o**q - o**4 - 3*o**4 - 6*o**2 + 16*o**3 - 42*o**2 + 64*o.
-2*(o - 2)**4
Let q(t) = 375*t**3 + 300*t**2 - 754*t + 270. Let x(z) = 125*z**3 + 100*z**2 - 251*z + 90. Let j(p) = -4*q(p) + 11*x(p). Find r, given that j(r) = 0.
-2, 3/5
Let j(n) be the second derivative of n**6/240 - n**5/240 + 2*n**3/3 + n. Let p(h) be the second derivative of j(h). Factor p(o).
o*(3*o - 1)/2
Let r(s) = -3*s**2 - 2. Let z(b) = -7*b**2 + b - 5. Let v(f) = -5*r(f) + 2*z(f). Find t such that v(t) = 0.
-2, 0
Let o(x) be the first derivative of x**6/2 - 9*x**5/20 - 15*x**4/16 + 3*x**3/4 + 3*x**2/8 - 1. Suppose o(b) = 0. What is b?
-1, -1/4, 0, 1
Solve -72/7*m**3 + 16/7 - 68/7*m**2 + 0*m - 20/7*m**4 = 0.
-2, -1, 2/5
Let m = -6 + 8. Let k(i) be the second derivative of -1/90*i**6 + 1/30*i**5 + 0*i**2 - 1/36*i**4 + 0 + 0*i**3 - m*i. Factor k(n).
-n**2*(n - 1)**2/3
Let z = -10 - -12. Find w, given that -6*w**2 + 0*w**2 + 2*w**z + 4*w + w**3 = 0.
0, 2
Suppose -4/5*m**3 + 0*m**2 + 6/5*m**4 + 4/5*m**5 + 0*m + 0 = 0. What is m?
-2, 0, 1/2
Let r(f) be the first derivative of -3*f**4/28 + 9*f**2/14 - 6*f/7 + 11. Let r(q) = 0. What is q?
-2, 1
Let v be 0*1*(-2)/(-4). Suppose -4*q = -v*q - 4. Factor 4*r**2 + q - 2*r**2 - 3.
2*(r - 1)*(r + 1)
Let b(d) be the second derivative of -d**4/18 - 2*d**3/9 - 7*d. Factor b(j).
-2*j*(j + 2)/3
Let s = -503/5 + 101. Factor -3/5*b**3 - s*b**2 + 0 + 1/5*b.
-b*(b + 1)*(3*b - 1)/5
Let o(k) be the second derivative of k**7/1260 - k**6/900 + 5*k**4/12 - k. Let v(u) be the third derivative of o(u). Factor v(c).
2*c*(5*c - 2)/5
Factor 0 + 1/3*c**2 + 1/3*c**3 + 0*c.
c**2*(c + 1)/3
Find m such that -7*m - 5*m**2 - 4 + 9*m + 8*m - 12*m**3 + 2*m + 9*m**4 = 0.
-1, 2/3, 1
Let a = 0 - 4. Let u = a + 6. Determine z so that 5*z**2 - 3*z**2 - 6*z**3 + 2*z**2 + u*z**5 = 0.
-2, 0, 1
Let g(d) = d**3 + d**2 - d. Let t(x) = -14*x**3 - 14*x**2 + 14*x + 2. Suppose -5*a - 5 + 10 = 0. Let z(r) = a*t(r) + 12*g(r). Factor z(k).
-2*(k - 1)*(k + 1)**2
Let z(a) be the second derivative of -a**7/14 - a**6/15 + a**5/2 + a**4 + a**3/6 - a**2 - 7*a. Suppose z(p) = 0. What is p?
-1, 1/3, 2
Let p(w) be the second derivative of -w**6/30 + w**4/12 - 9*w. Determine