tor 2/3*w**3 - 2*w**2 + 16/3 - 4*w.
2*(w - 4)*(w - 1)*(w + 2)/3
Factor -152*h - 31 - 153*h - 93 + 34 + 35*h**2.
5*(h - 9)*(7*h + 2)
Let p(j) be the first derivative of -1 + 2/15*j**5 + 1/3*j**3 + 5/12*j**4 - 1/3*j - 1/6*j**2. Find k such that p(k) = 0.
-1, 1/2
Suppose 2*j + 2*j = 8. Suppose -2*r + 0*u + 4 = 2*u, -4*r + 8 = 2*u. Suppose 4/3 - 10/3*p + r*p**5 + 0*p**j - 20/3*p**4 + 20/3*p**3 = 0. What is p?
-2/3, 1
Let i(d) be the first derivative of -2*d**3/3 + 4*d**2 - 6*d - 10. Factor i(w).
-2*(w - 3)*(w - 1)
Let y(g) be the second derivative of 5*g**6/33 + 19*g**5/22 + 19*g**4/11 + 52*g**3/33 + 8*g**2/11 + g. Let y(f) = 0. What is f?
-2, -1, -2/5
Factor -96*n**4 - 6*n**5 + 3 - 6*n**2 - 3*n + 6*n**3 + 3*n**5 + 99*n**4.
-3*(n - 1)**3*(n + 1)**2
Factor 6/5*i**2 + 0 - 3/5*i**3 - 3/5*i.
-3*i*(i - 1)**2/5
Let c = 22 - 11. Factor -c*m + 5*m + 16 - 19 - 3*m**2.
-3*(m + 1)**2
Let f = 184 - 1285/7. Solve -f*h + 3/7*h**3 + 6/7*h**2 - 6/7 = 0.
-2, -1, 1
Factor 44*y + 40*y + y**2 - 86*y.
y*(y - 2)
Let u(f) be the third derivative of -7/360*f**5 - f**2 + 1/16*f**4 + 0 - 1/18*f**3 + 0*f. Factor u(m).
-(m - 1)*(7*m - 2)/6
Let p(l) be the third derivative of -l**8/1512 + l**7/135 - 19*l**6/540 + 5*l**5/54 - 4*l**4/27 + 4*l**3/27 - 10*l**2. Factor p(o).
-2*(o - 2)**2*(o - 1)**3/9
Let b(y) be the first derivative of -3*y**3/5 + 6*y**2/5 - 4*y/5 - 3. Suppose b(a) = 0. Calculate a.
2/3
Let g = -33 + 48. Suppose 5*n - g = 5. Solve 6/5*r**n + 2/5*r**3 + 0 + 0*r - 4/5*r**2 = 0.
-1, 0, 2/3
Suppose -a - 21 = -8*a. Let g(z) be the second derivative of -1/24*z**3 + 1/48*z**4 - a*z + 0 - 1/4*z**2. Determine s, given that g(s) = 0.
-1, 2
Let d(x) = 29*x**2 - 24*x - 53. Let b(w) = 10*w**2 - 8*w - 18. Let y(v) = 17*b(v) - 6*d(v). Find z, given that y(z) = 0.
-1, 3
Let n(i) be the second derivative of 2*i**7/21 - 2*i**6/5 + 3*i**5/5 - i**4/3 + 10*i. Determine p, given that n(p) = 0.
0, 1
Solve 5/2*h**2 - h + 1/2*h**4 + 0 - 2*h**3 = 0 for h.
0, 1, 2
Let d be (-2 - 0)/(2/(-2)). Let i(s) be the second derivative of 0 + 0*s**3 - 1/7*s**d + 1/42*s**4 - s. Factor i(g).
2*(g - 1)*(g + 1)/7
Let q(t) = -t**2 - t + 1. Let n(i) = -2*i**5 + 2*i**4 + 12*i**2 + 12*i - 12. Let y(d) = -n(d) - 12*q(d). Determine g so that y(g) = 0.
0, 1
Let x = 17 - 14. What is t in 0*t**3 - 4*t + t**3 + t**3 + 6*t**2 - 4*t**x = 0?
0, 1, 2
Let -3 + 2*y**2 + 6*y**2 - 9*y**2 + 4*y = 0. What is y?
1, 3
Let i be 1 - 6/(-1*3). Suppose -4*g + i + g**4 + 4*g**2 + 1 - 4*g**3 - 3 + 2*g**2 = 0. What is g?
1
Let p(w) be the second derivative of w**6/1260 + w**5/210 - 7*w**3/6 - 7*w. Let x(q) be the second derivative of p(q). Let x(g) = 0. What is g?
-2, 0
Let r(z) = 0*z - z - 1 + 3*z**3 - 4*z**3. Let o(h) = 5*h**3 - 2*h**2 + 3*h + 6. Let v(x) = 3*o(x) + 12*r(x). Let v(j) = 0. What is j?
-1, 1, 2
Let d be ((-10)/(-15)*3*1)/16. Let l(p) be the third derivative of -4*p**2 - 1/60*p**5 - d*p**4 - 1/3*p**3 + 0 + 0*p. Factor l(b).
-(b + 1)*(b + 2)
Let o(p) be the first derivative of p**5/50 + p**4/10 + 2*p**3/15 - 2*p - 1. Let w(g) be the first derivative of o(g). Factor w(n).
2*n*(n + 1)*(n + 2)/5
Factor 1/2*f**2 - 2*f + 2.
(f - 2)**2/2
Let y(z) = z + 8. Let a be y(-4). Let x(q) be the third derivative of 0 - 1/20*q**5 - 1/12*q**a + 0*q + q**2 + 0*q**3. Determine g, given that x(g) = 0.
-2/3, 0
Suppose -3/2*o + 25/8*o**4 + 15/4*o**3 - 11/8*o**2 + 1/2 = 0. Calculate o.
-1, 2/5
Let r be (-162)/(-16)*8/6. Let q = 14 - r. Factor 0*x - 1/2 + q*x**2.
(x - 1)*(x + 1)/2
Factor -2/9*i**4 + 2/9*i**5 + 0 + 2/9*i**2 + 0*i - 2/9*i**3.
2*i**2*(i - 1)**2*(i + 1)/9
Let z(q) be the third derivative of -q**7/70 - q**6/40 + q**5/20 + q**4/8 + 2*q**2. Factor z(o).
-3*o*(o - 1)*(o + 1)**2
Let p(m) = 2*m**3 + 4*m**2 + 2*m + 2. Let o(t) = 2*t**3 + 3*t**2 + t + 3. Let n(s) = -2*o(s) + 3*p(s). Find d, given that n(d) = 0.
-2, -1, 0
Let w(a) be the third derivative of 0*a + 1/60*a**6 + 0*a**3 + 0*a**5 + 0 + 0*a**4 + 1/105*a**7 + 6*a**2. Factor w(c).
2*c**3*(c + 1)
Let c be (-3)/(-9) - (-11)/3. Suppose c*p + 12 = 3*m, -13 + 1 = -4*p. Let -4*b + 7*b**3 + 15*b**3 - m*b**3 + 10*b**2 = 0. What is b?
-1, 0, 2/7
Let m(l) = -l + 1. Let o(h) = 3*h**2 + 12*h + 15. Let x(r) = -3*m(r) + o(r). Suppose x(g) = 0. Calculate g.
-4, -1
Let k(w) = w**2 - 6*w. Suppose -r + 0 + 6 = 0. Let t be k(r). Let t*n - 2*n + 2*n**4 + 0*n - 10*n**3 - 8*n**2 - 6*n**4 = 0. Calculate n.
-1, -1/2, 0
Let x(m) be the second derivative of m**6/80 - m**5/15 + 7*m**4/48 - m**3/6 - 3*m**2 - 4*m. Let k(z) be the first derivative of x(z). Find j such that k(j) = 0.
2/3, 1
Let u(z) be the third derivative of -z**4/24 + 5*z**2. Let k(g) = -3*g**2 + 2*g. Suppose 0 = 4*p - 10 - 10. Let x(y) = p*u(y) + k(y). Factor x(s).
-3*s*(s + 1)
Factor 5 + 4 - 3*c**2 - c**3 - 5.
-(c - 1)*(c + 2)**2
Let x(d) = -d**2 - 1. Let b(y) = y**3 - 3*y**2 - 5*y + 3. Let g be b(4). Let h(l) = 3*l**3 + 18*l**2 + 3*l + 12. Let p(c) = g*h(c) - 12*x(c). Factor p(i).
-3*i*(i + 1)**2
Let n(u) = -4*u**2 + 3. Let y(f) = -3*f**2 + 2. Let s(l) = l + 3. Let c be s(-5). Let i(b) = c*n(b) + 3*y(b). Factor i(t).
-t**2
Let s(g) be the first derivative of g**6/30 + g**5/15 - g**4/6 - 2*g**3/3 - g**2 + 8. Let q(k) be the second derivative of s(k). Determine w so that q(w) = 0.
-1, 1
Solve 28/3*q - 12*q**4 - 28/3*q**3 - 8/3 + 44/3*q**2 = 0.
-1, 2/9, 1
Factor -1/2*s + 1/4*s**2 + 0 + 1/2*s**3 - 1/4*s**4.
-s*(s - 2)*(s - 1)*(s + 1)/4
Let v(f) be the first derivative of f**3 + f**2 + f + 4. Let c be v(-1). Find d, given that 2/5 + 0*d - 2/5*d**c = 0.
-1, 1
Suppose 2*d + 2*d = 116. Determine w so that 2*w + d*w**2 - 32*w**2 - 2*w = 0.
0
Let -30*s**2 + 49 - 4*s**3 - 49 + 2*s**2 = 0. Calculate s.
-7, 0
Let g = 13 + -9. Factor -r**5 - 19*r**3 - 13*r - 9*r + 25*r**2 + 4 + 7*r**g + 6*r.
-(r - 2)**2*(r - 1)**3
Let k(m) be the first derivative of -m**3/7 + 3*m**2/14 + 6*m/7 - 6. What is f in k(f) = 0?
-1, 2
Let g be (-11)/(-4) + (-4)/(-16). Suppose b = g*b - 6. Factor -2*y**b + 0*y**3 - 2*y**3 - 2*y**4 + 4*y + 2.
-2*(y - 1)*(y + 1)**3
Suppose 3 = -r - 4. Let j = -5 - r. Factor 0 + 2/5*a + 0*a**j - 2/5*a**3.
-2*a*(a - 1)*(a + 1)/5
Suppose 0 = -r - 3*r + 24. Let u(m) = m**3 - 5*m**2 - 5*m - 4. Let t be u(r). Solve -s**3 + 2*s + s**4 + 2*s**5 - t*s**2 - 2*s**3 + 1 - s**3 = 0 for s.
-1, -1/2, 1
Let u(h) be the first derivative of 4*h + 21/5*h**5 - 25/3*h**3 - 4*h**2 - 1 + 2*h**4. Solve u(x) = 0 for x.
-1, -2/3, 2/7, 1
Suppose 3*x - 12 = -3*n, x - 5*x = -4*n. Let g = 1 - 0. Suppose -2*o**4 + o**4 - o - o**5 + 2*o**3 - g + 2*o**n + 0 = 0. What is o?
-1, 1
Let c be 3/(-5) - (-220)/(-50). Let j be (-2)/3 - (4 + c). Factor -j*a**2 - 1/3 - 2/3*a.
-(a + 1)**2/3
Let s be 3 + 345/(-50) + 4. Let y(t) be the second derivative of -s*t**5 - 1/3*t**3 - 1/3*t**4 - 3*t + 0 + 0*t**2. Suppose y(o) = 0. Calculate o.
-1, 0
Let c = 21/8 + -11/8. Let a(w) be the first derivative of 2*w**2 - 8*w + 2*w**3 + 1/5*w**5 - c*w**4 + 5. Let a(j) = 0. What is j?
-1, 2
Let n = 174/511 + -4/73. Factor n*d**2 + 2/7 - 4/7*d.
2*(d - 1)**2/7
Let r(t) be the first derivative of -8*t**5/5 - 7*t**4/2 - 4*t**3/3 + t**2 + 7. Factor r(d).
-2*d*(d + 1)**2*(4*d - 1)
Let k(u) be the third derivative of -u**6/960 + u**5/240 - u**4/192 + 25*u**2. What is v in k(v) = 0?
0, 1
Suppose t + 45 = 2*t + 5*n, -5*n - 65 = -t. Suppose -5*c + t = -0*c. Factor c*f**4 + 0*f + 2*f**3 - f - 13*f**4 - f + 2*f**2.
-2*f*(f - 1)**2*(f + 1)
Let s(h) be the second derivative of -2*h**4/3 - 2*h**3/3 + 2*h**2 - 10*h. Suppose s(m) = 0. Calculate m.
-1, 1/2
Let j be ((-4)/(-5))/(78/65). Let l(t) = t. Let a be l(0). What is h in 2*h**2 - j*h - 2*h**3 + 2/3*h**4 + a = 0?
0, 1
Let h(x) = -25*x**2 - 45*x + 25. Let f(s) = 2*s**2 + 1. Let d(u) = 15*f(u) + h(u). Let d(w) = 0. What is w?
1, 8
Let c = -1 - -3. Factor -z**4 + 10*z**3 + 3*z**4 + 8*z**2 + 4*z + 2*z**4 - c*z.
2*z*(z + 1)**2*(2*z + 1)
Suppose 0 = 4*h - 9 + 1. Solve 0*u + u**h - 4*u**2 + 3*u = 0 for u.
0, 1
Let -6*s**2 + 2*s - 7/2*s**3 + 0 = 0. What is s?
-2, 0, 2/7
Suppose 3*v + 24 = 3*y, y + 8 = -4*v - 9. Find z, given that -2/3*z**2 - 2/9 + 2/3*z + 2/9*z**y = 0.
1
Let n = 12 - 12. Find p, given that 2*p**4 + 0*p**2 + n*p - 4*p**4 - 6*p**3 - 6*p**2 - 2*p = 0.
-1, 0
Factor 0 + 0*b + 2/17*b**2 + 2/17*b**3.
2*b**2*(b + 1)/17
Let w be (5/(-5))/((-2)/14). Let y = w + -7. S