d(z) = -u(z) + 4*y(z). Factor d(n).
4*(n - 2)**2
Let r(h) = 45*h**3 + 129*h**2 + 48*h - 105. Let u(c) = 11*c**3 + 32*c**2 + 12*c - 26. Let n(g) = -2*r(g) + 9*u(g). Suppose n(p) = 0. Calculate p.
-2, 2/3
Suppose k - 1 = -0*k - 4*u, 3*u + 6 = 0. Find g such that 16*g**3 + 2*g**5 + k*g**4 - 3*g - 7*g**2 + 1 + 21*g**2 + 0 + 9*g = 0.
-1, -1/2
Let r(b) be the second derivative of 1/210*b**7 - 3*b + 0*b**2 - 1/20*b**4 + 1/50*b**6 + 1/100*b**5 - 1/15*b**3 + 0. Let r(c) = 0. What is c?
-2, -1, 0, 1
Let b(k) = 23*k**4 - 58*k**3 - 18*k**2 - 3. Let g(u) = 70*u**4 - 175*u**3 - 55*u**2 - 10. Let c(m) = 10*b(m) - 3*g(m). Find y such that c(y) = 0.
-1/4, 0, 3
Let x = -36 - -41. Let m(o) be the second derivative of 23/75*o**6 + 13/30*o**4 + 3*o + 27/50*o**x + 0*o**2 + 0 + 1/15*o**7 + 2/15*o**3. Factor m(i).
2*i*(i + 1)**3*(7*i + 2)/5
Let c = 5 + -3. Let n be (9/12)/(c/8). Factor 14/5*j**2 + 2*j + 6/5*j**n + 2/5.
2*(j + 1)**2*(3*j + 1)/5
Let x(j) be the second derivative of -j**6/900 - j**5/150 - j**4/60 + 3*j**3/2 - 8*j. Let u(n) be the second derivative of x(n). Factor u(i).
-2*(i + 1)**2/5
Let j be 1/(-1*2/6). Let w be j*3/(-36)*2. Factor 1/4*u**4 - 1/2*u**2 - w*u**3 + 1/4*u**5 + 1/4 + 1/4*u.
(u - 1)**2*(u + 1)**3/4
Let w(s) be the second derivative of 5*s**4/4 + 5*s**3/3 - 5*s**2/2 - 13*s. Let w(g) = 0. What is g?
-1, 1/3
Let d(v) = 4*v - 1. Let b be d(1). Let g(w) be the first derivative of -2/3*w**2 - 2/9*w**b - 2/3*w + 1. Factor g(f).
-2*(f + 1)**2/3
Factor -3*z**2 - 3*z + z**3 + 3*z + 0*z**3 + 2*z.
z*(z - 2)*(z - 1)
Let b(i) be the second derivative of -i**4/24 - 4*i**3/3 - 16*i**2 - 12*i. Factor b(w).
-(w + 8)**2/2
Let a(q) = q**3. Let p(v) = -2*v**3 - 2*v**2. Let z be (-4)/(-10)*(-9 - -4). Let n(h) = z*p(h) - 2*a(h). Let n(g) = 0. Calculate g.
-2, 0
Let x(i) = i**3 - 2*i**2 - 3*i + 2. Let u be x(3). Let l be 1*((u - 3) + 3). Suppose -1 + 3/2*m - 1/2*m**l = 0. Calculate m.
1, 2
Suppose 3*j**4 + 32*j + 16 + 11*j**3 + 12*j**2 - 7*j**4 - 19*j**3 = 0. Calculate j.
-2, -1, 2
Let x(l) = -l**3 + 5*l**2 - 4*l + 2. Let s be x(4). Solve -2 - 2*i - 1/2*i**s = 0 for i.
-2
What is b in 7*b**2 + 1/9*b**3 + 1029 + 147*b = 0?
-21
Let n(w) be the third derivative of 2*w**5/15 + 5*w**4/12 + w**3/3 - 8*w**2. What is h in n(h) = 0?
-1, -1/4
Factor 0 + 1/5*k**2 + 4/5*k**3 - 4/5*k - 1/5*k**4.
-k*(k - 4)*(k - 1)*(k + 1)/5
Let o(y) be the second derivative of -y**7/147 - y**6/15 - 8*y**5/35 - 4*y**4/21 + 16*y**3/21 + 16*y**2/7 + 3*y. Factor o(j).
-2*(j - 1)*(j + 2)**4/7
Suppose f - 6 = -1. Let i = f - 5. Determine q, given that -1/2*q + 1/2*q**2 + i = 0.
0, 1
Suppose 4 = -3*n + 4*n. Let u(w) be the first derivative of 1 + 20/3*w**3 + w**2 - n*w. Solve u(a) = 0.
-1/2, 2/5
Suppose -4 = -9*a - 4. Let u(p) be the first derivative of 0*p**5 - 1/3*p**6 + a*p**2 - 3 + 1/2*p**4 + 0*p + 0*p**3. Solve u(t) = 0 for t.
-1, 0, 1
Let p be (110/45 - 2) + 0. Determine z so that -p + 14/9*z + 2/3*z**3 - 16/9*z**2 = 0.
2/3, 1
Suppose 6*o - 2*o = 100. Let q be 105/o + 2/(-10). Solve -1/3*f + 1/3*f**3 - 1/3*f**q + 1/3*f**2 + 0 = 0.
-1, 0, 1
Let j(o) be the second derivative of -o**4/16 + 13*o**3/4 - 507*o**2/8 + 28*o. Find h such that j(h) = 0.
13
Determine v so that -8/5*v**3 + 12/5*v**2 + 2/5*v**4 - 8/5*v + 2/5 = 0.
1
Let j(v) be the first derivative of -9 + 1/4*v**4 + 0*v + 1/3*v**3 - v**2. Solve j(p) = 0.
-2, 0, 1
Suppose j = 5*d - 0 + 5, 3*d = -3*j + 15. Solve -5 + 2*r**3 + j + 2*r**2 = 0 for r.
-1, 0
Determine j, given that -4*j + 10*j - 4*j - 7*j**2 = 0.
0, 2/7
Let d(p) be the second derivative of -p**5/100 - 3*p**4/20 - 9*p**3/10 - 3*p**2/2 - 2*p. Let t(n) be the first derivative of d(n). Let t(u) = 0. Calculate u.
-3
Factor -704 + 294*u**2 - 12*u**3 - 724*u - 3*u**3 - 656*u + 104.
-3*(u - 10)**2*(5*u + 2)
Factor -3/2*z**5 + 0*z**4 + 0*z + 9/2*z**3 - 3*z**2 + 0.
-3*z**2*(z - 1)**2*(z + 2)/2
Let v(a) be the third derivative of -1/300*a**6 - 4/15*a**3 + 0 - 1/30*a**5 - 4*a**2 - 2/15*a**4 + 0*a. Factor v(f).
-2*(f + 1)*(f + 2)**2/5
Let g(p) be the third derivative of p**10/10080 - p**8/2240 + p**4/24 - 3*p**2. Let x(f) be the second derivative of g(f). Factor x(h).
3*h**3*(h - 1)*(h + 1)
Let h = 141 - 985/7. Determine l, given that 0*l - 2/7*l**4 - h*l**2 - 4/7*l**3 + 0 = 0.
-1, 0
Find k such that -4/5*k**2 + 2/5*k**3 + 0 + 2/5*k = 0.
0, 1
Let v(b) be the second derivative of b**4/6 - b**3/4 - b**2/4 + 17*b. Suppose v(c) = 0. What is c?
-1/4, 1
Let n(k) be the second derivative of k**6/40 + k**5/10 + k**4/12 + 6*k + 1. Factor n(r).
r**2*(r + 2)*(3*r + 2)/4
Let w = 6 + -6. Let p(o) be the second derivative of -1/6*o**3 + o + o**2 - 1/12*o**4 + w. Find c, given that p(c) = 0.
-2, 1
Let u(k) be the first derivative of 3/5*k - 3/5*k**2 + 3 + 1/5*k**3. Let u(g) = 0. Calculate g.
1
Let k(t) be the second derivative of -t**5/80 + t**4/16 - t**3/8 + t**2/8 + 5*t. Factor k(c).
-(c - 1)**3/4
Let r be 145/87*2*(-2)/(-20). Factor 2/3 + k - 1/3*k**2 - r*k**4 - k**3.
-(k - 1)*(k + 1)**2*(k + 2)/3
Let c be 9/18 + 1/1. Determine q, given that -3*q**3 + 0 + 6*q**4 - c*q + 9/2*q**5 - 6*q**2 = 0.
-1, -1/3, 0, 1
Let o(g) be the second derivative of -1/60*g**6 + 0 + 1/24*g**4 - 1/84*g**7 + 0*g**3 + 0*g**2 - 3*g + 1/40*g**5. What is s in o(s) = 0?
-1, 0, 1
Let r(g) be the second derivative of g**7/420 + g**6/90 + 7*g**3/6 + 6*g. Let v(u) be the second derivative of r(u). Find t such that v(t) = 0.
-2, 0
Let y = -5 - -7. Suppose -2*u**y - u + u - 4*u - 4*u**3 + 12*u**2 = 0. Calculate u.
0, 1/2, 2
Let j(d) be the second derivative of d**5/150 + d**2/2 + 4*d. Let l(f) be the first derivative of j(f). Determine u, given that l(u) = 0.
0
Factor -16/7*b - 4/7*b**3 + 0 + 16/7*b**2.
-4*b*(b - 2)**2/7
Let q(r) = -3*r**2 + r**2 + r + 3*r**2. Let h(a) = -a**2 + 2*a + 3. Let b(s) = -s - 1. Let j(z) = 3*b(z) + h(z). Let t(o) = -j(o) + q(o). Factor t(y).
2*y*(y + 1)
Suppose 152 = 3*q + 4*p, 2*q - 3*p = -0*q + 90. Suppose 10*d**2 + q - 5*d**2 + 3*d**4 - 29*d**2 = 0. Calculate d.
-2, 2
Let c(i) be the first derivative of -2 + 2/13*i + 2/13*i**3 + 3/13*i**2 + 1/26*i**4. Suppose c(t) = 0. What is t?
-1
Let m(x) be the first derivative of -x**3/4 + 27*x**2/8 - 41. Factor m(s).
-3*s*(s - 9)/4
Suppose 0*b - 3*b = 9, a - 11 = 2*b. Solve 48*l**2 - 7*l**5 + 3*l**a - 12*l - 5*l**5 + 42*l**4 - 69*l**3 = 0 for l.
0, 2/3, 1, 2
Suppose 2 + 1 = d + g, -4*d + 19 = -3*g. Solve -3*q**d - 45/4*q**5 + 1/2*q**2 + 0*q + 0 + 7/4*q**3 = 0 for q.
-1/3, 0, 2/5
Let i(b) be the first derivative of 0*b + 6 + 3/10*b**4 + 1/5*b**3 - 3/5*b**2 - 3/25*b**5. Determine z, given that i(z) = 0.
-1, 0, 1, 2
Let f(q) = q + 11. Let r be f(-8). Factor 0 - 1/3*o**r + 0*o - 1/3*o**2.
-o**2*(o + 1)/3
Let b(f) be the third derivative of f**8/1848 + f**7/1155 - f**6/330 - f**5/165 + f**4/132 + f**3/33 - 8*f**2. Solve b(u) = 0.
-1, 1
Let -2*x**3 - 2*x**2 + 0 - 2/3*x - 2/3*x**4 = 0. What is x?
-1, 0
Let z be -7 + 6/2 + 7/1. Suppose h - u - 34 = -6*u, 0 = -h + 4*u - 11. Find t such that -h*t**4 - 1 + 3*t**4 - t**2 - 6*t - 10*t**4 + 24*t**z + 0*t**4 = 0.
-1/4, 1
Let x be (-5)/((-50)/70) + -2. Factor -2*j**4 + 2*j**3 + 0 + 2/3*j**x + 0*j - 2/3*j**2.
2*j**2*(j - 1)**3/3
Suppose 3*c = m, 4*m + 2*c = -0*c + 14. Let -14*v**3 - 2 + 13*v**3 - 3*v + 3*v**2 + m = 0. What is v?
1
Suppose -3*u + 19 = 1. Let b be 0/((3 - u)/3). Factor -2/3*t + 2/3*t**2 + b.
2*t*(t - 1)/3
Factor 4/3*j + 0 + 2/3*j**2.
2*j*(j + 2)/3
Let b(l) = l**3 - 8*l**2 + 11*l + 8. Let g be b(6). Let z(n) be the first derivative of -2/3*n**3 - g + 0*n - 3*n**2. Factor z(f).
-2*f*(f + 3)
Factor 0 - 2/5*g**3 + 2/5*g**5 + 0*g**2 + 0*g**4 + 0*g.
2*g**3*(g - 1)*(g + 1)/5
Let u(v) be the second derivative of -v**7/42 + v**6/15 - v**4/6 + v**3/6 + 5*v. Factor u(f).
-f*(f - 1)**3*(f + 1)
Let u(z) be the first derivative of 0*z**2 - 1/25*z**5 + 3/20*z**4 + 7 - 2/15*z**3 + 0*z. Determine w so that u(w) = 0.
0, 1, 2
Let q be 24/30*(-10)/(-12). Solve -2/3*w**4 + q*w**3 + 0 - 2/9*w**2 + 0*w + 2/9*w**5 = 0 for w.
0, 1
Find m, given that -1/2*m**3 + 0 - 3/2*m - 2*m**2 = 0.
-3, -1, 0
Let v(h) be the first derivative of 3 - 9/20*h**5 + 0*h + 0*h**2 - 1/4*h**3 - 3/4*h**4. Factor v(l).
-3*l**2*(l + 1)*(3*l + 1)/4
Suppose 3*y + 5*u - 7 = 0, 21 = 4*y + y - u. Factor 0*c**3 + 1/2*c**2 + 0 - 1/3*c - 1/6*c**y.
-c*(c - 1)**2*(c + 2)/6
Let d