 + 2*q**4 + 1/5*q + q**2 + 16/25*q**5 + 11/5*q**3. Factor l(y).
(y + 1)**2*(4*y + 1)**2/5
Suppose -5*l - 9 + 19 = 0. Let k be l/8 + (-9)/(-108). Factor -1/3 + 2/3*q - k*q**2.
-(q - 1)**2/3
Let y = -10 - -7. Let d(z) = 2*z**4 - 4*z**3 + 4*z + 2. Let h(p) = p**5 - 3*p**4 + 4*p**3 - 5*p - 3. Let c(l) = y*d(l) - 2*h(l). Solve c(s) = 0 for s.
-1, 0, 1
Let z be 3 - (2 + 9/12). Let c(x) be the first derivative of -z*x**4 - 1/2*x + 0*x**3 + 1/2*x**2 + 2 + 1/10*x**5. Factor c(m).
(m - 1)**3*(m + 1)/2
Let s(w) be the second derivative of 3*w**5/5 + 2*w**4 + 5*w**3/2 + 3*w**2/2 + 3*w. Factor s(u).
3*(u + 1)*(2*u + 1)**2
Let n(s) = 2*s**2 + 33*s + 49. Let r be n(-15). Factor 5*j**3 + 5*j**2 + 1/2 + 1/2*j**5 + 5/2*j + 5/2*j**r.
(j + 1)**5/2
Let -4/3*x**4 - 4/9 - 2*x - 28/9*x**3 - 2/9*x**5 - 32/9*x**2 = 0. What is x?
-2, -1
Let w(a) be the first derivative of a**4 + 4*a**3/3 + 1. Determine g, given that w(g) = 0.
-1, 0
Let m(p) be the first derivative of -5*p**4/4 - 5*p**3 + 20*p + 4. Determine y so that m(y) = 0.
-2, 1
Let o(l) be the second derivative of 3*l**5/100 - l**3/10 - 13*l. Factor o(i).
3*i*(i - 1)*(i + 1)/5
Let 4*a**2 - 4/5*a**3 - 32/5*a + 16/5 = 0. What is a?
1, 2
Let x(m) = 2*m**3 - 9*m**2 + 7*m. Let h(i) = -3*i**3 + 13*i**2 - 10*i. Let f(d) = 5*h(d) + 7*x(d). Let f(l) = 0. What is l?
0, 1
Let i(u) be the second derivative of -u**8/3360 + u**7/1680 + u**6/720 - u**5/240 - u**3/6 - 2*u. Let s(f) be the second derivative of i(f). Factor s(x).
-x*(x - 1)**2*(x + 1)/2
Let t(j) = -j**3 - 6*j**2 - 24*j. Let s(k) = 3*k**3 + 24*k**2 + 96*k. Let r(h) = -4*s(h) - 15*t(h). Find m, given that r(m) = 0.
-2, 0, 4
Suppose -3*i = i - 144. Let q be i/(-45)*10/(-14). Suppose -q + 2*c**2 + 10/7*c = 0. What is c?
-1, 2/7
Let w(k) be the third derivative of k**6/80 + k**5/20 + 40*k**2. Factor w(i).
3*i**2*(i + 2)/2
Let t(b) be the second derivative of b**4/66 - 10*b**3/33 + 25*b**2/11 - 16*b. Factor t(y).
2*(y - 5)**2/11
Let x(s) be the second derivative of 4/15*s**6 + 2/3*s**4 + 0 + 0*s**2 - 3*s - 3/5*s**5 - 1/3*s**3 - 1/21*s**7. Find h, given that x(h) = 0.
0, 1
Let a(d) be the second derivative of 9*d**5/4 + 5*d**4/2 - 50*d**3/3 + 20*d**2 - 14*d. Factor a(n).
5*(n + 2)*(3*n - 2)**2
Let h(b) be the second derivative of 0*b**2 - b + 1/6*b**3 + 1/12*b**4 + 0. Let y(a) = 3*a**2 + 6*a - 1. Let k(l) = -4*h(l) + y(l). Let k(u) = 0. Calculate u.
1
Let k(p) be the first derivative of 0*p + p**2 - 7 + 2/9*p**3. Factor k(j).
2*j*(j + 3)/3
Suppose -15 = 7*f - 10*f + m, m - 10 = -2*f. Let 2*c**3 + 16/5*c**4 + 0*c + 2/5*c**2 + 0 + 8/5*c**f = 0. What is c?
-1, -1/2, 0
Let h(r) = -r**3 + 4*r**2 - r + 4. Let l be 4/(-14) + (-90)/(-21). Let s be h(l). Factor 0 + 1/3*u**2 + s*u.
u**2/3
Suppose a + 220 = -2*m, -5*m = 7*a - 2*a + 1075. Let q be (-498)/a + (-2)/(-10). What is c in 30/7*c**3 + 6/7*c**5 + 4/7*c + 0 + 22/7*c**4 + q*c**2 = 0?
-1, -2/3, 0
Let w(x) be the second derivative of -x**4/6 - 2*x**3/3 - x**2 + 4*x. Factor w(u).
-2*(u + 1)**2
Let a(g) be the second derivative of -4*g**7/315 - 4*g**6/75 - g**5/30 + g**4/9 + g**3/5 + 2*g**2/15 - 3*g + 3. Suppose a(y) = 0. What is y?
-2, -1, -1/2, 1
Let s(b) = -8*b**3 + 24*b**2 - 28*b + 20. Let o(r) = 7*r**3 - 23*r**2 + 29*r - 19. Let c(x) = -4*o(x) - 3*s(x). What is f in c(f) = 0?
1, 2
Let r = 5/4 + 1/12. Factor -2/3*g**5 + 0 + r*g + 2/3*g**4 - 10/3*g**2 + 2*g**3.
-2*g*(g - 1)**3*(g + 2)/3
Suppose 0 = 9*h - 6*h. Let d = -17 + 17. Factor 0*w**2 - 1/3*w**4 + 0*w**3 + h + d*w.
-w**4/3
Let d = 270/319 + -14/29. Factor -2/11*u**2 + 0 - d*u.
-2*u*(u + 2)/11
Let w(f) = f**2 + 13*f - 28. Let i be w(-15). Let a be (2/(-15))/(-1)*5. Let -2/3*q**5 + 4/3*q**3 - 2/3*q - a + 4/3*q**i - 2/3*q**4 = 0. What is q?
-1, 1
Let m be 15/6 - (-13)/(-6). Factor -1/3 + 0*f + m*f**2.
(f - 1)*(f + 1)/3
Let t(f) be the third derivative of f**6/40 - f**5/20 - 5*f**4/8 - 2*f**3/3 - 3*f**2. Let z(a) = -1. Let v(w) = t(w) + 5*z(w). Suppose v(u) = 0. Calculate u.
-1, 3
Let y(d) be the first derivative of -2*d**5/45 + d**4/18 + 2*d**3/3 + 11*d**2/9 + 8*d/9 + 31. Suppose y(g) = 0. What is g?
-1, 4
Suppose 4*d - 4*k - 12 = -6*k, -5*k + 6 = 2*d. Factor -12*t**4 - 21*t**3 + d*t - 3*t**2 + t**2 - 4*t**2.
-3*t*(t + 1)**2*(4*t - 1)
Let q(m) be the second derivative of m**6/480 + m**5/80 - m**3/6 + 3*m**2/2 + m. Let i(u) be the first derivative of q(u). Find d, given that i(d) = 0.
-2, 1
Factor 1/3*g + 1/6 + 1/6*g**2.
(g + 1)**2/6
Let j be (-4)/5 + (-4)/(-5). Let a(i) be the second derivative of 1/12*i**4 + j + 3/20*i**5 + 0*i**3 + 1/15*i**6 - 4*i + 0*i**2. Find r such that a(r) = 0.
-1, -1/2, 0
Let b(q) be the first derivative of 1/48*q**4 - q**2 + 1/18*q**3 + 1 + 0*q + 1/360*q**5. Let u(c) be the second derivative of b(c). Factor u(k).
(k + 1)*(k + 2)/6
Let u(r) = 4*r**4 + 6*r**3 - 4*r**2 - 6*r. Let f(z) = -z**3 + z. Let i(c) = -28*f(c) - 4*u(c). Determine p, given that i(p) = 0.
-1, 0, 1/4, 1
Let x be (-16)/(-30)*(-27)/(-36). Let c(q) be the first derivative of 1 - q**2 + 1/2*q**4 - 2/3*q**3 + x*q**5 + 0*q. Factor c(k).
2*k*(k - 1)*(k + 1)**2
Let y be 1 - (1/(-1) - 8). Determine w, given that y*w**2 - 4*w - 8*w**2 + 2 + 0*w = 0.
1
Let q(i) be the second derivative of i**6/15 + 2*i**5/5 - i**4/6 - 4*i**3/3 + 38*i. Solve q(w) = 0 for w.
-4, -1, 0, 1
Let u be (3/(-3))/(6 + (-174)/24). Suppose 2/5*s**4 - 2/5*s - u*s**2 - 2/5*s**5 + 4/5*s**3 + 2/5 = 0. Calculate s.
-1, 1
Let t = 6014/5 - 1192. Factor -t*x + 18/5*x**2 + 54/5 - 2/5*x**3.
-2*(x - 3)**3/5
Let o(p) be the first derivative of -1 + 0*p - 4/15*p**5 + 0*p**2 - 1/6*p**4 + 0*p**3 - 1/9*p**6. Factor o(n).
-2*n**3*(n + 1)**2/3
Let t(c) = c**2 - c + 1. Let m(f) = 2*f**4 + f**3 + 2*f**2 - 3*f + 3. Suppose -k = 2*y - 3*k, -y + 4*k + 6 = 0. Let v(n) = y*m(n) + 6*t(n). Factor v(i).
-2*i**2*(i + 1)*(2*i - 1)
Suppose 6*k = 4*k. Let i(r) be the third derivative of -1/96*r**4 + 0*r + 0*r**3 + 1/480*r**6 + 2*r**2 + 0 + k*r**5. Solve i(y) = 0.
-1, 0, 1
Suppose -29*w + 28*w + 2*u = 6, -2*u = 5*w - 30. Let 0*l + 0*l**3 - 3/4*l**2 + 0 + 3/4*l**w = 0. What is l?
-1, 0, 1
Let k be 4*(-5)/(-60)*1. Let c(v) be the second derivative of k*v**3 - 2/3*v**2 - v - 1/30*v**5 + 0*v**4 + 0. Factor c(w).
-2*(w - 1)**2*(w + 2)/3
Let y(c) = -c - 1 + 2 + 1. Let z be y(0). Factor -3*m + z*m**2 + 9*m + 0*m**2 + 4.
2*(m + 1)*(m + 2)
Let b be ((-10)/3)/(2/(-3)). Let c(t) be the third derivative of 0*t**3 + 0 + 2*t**2 + 0*t + 0*t**4 - 1/270*t**b. Suppose c(f) = 0. Calculate f.
0
Let r(i) = -13*i**3 - 5*i**2 + 19*i + 4. Let g(o) = -38*o**3 - 16*o**2 + 56*o + 12. Let k(s) = 5*g(s) - 14*r(s). Factor k(z).
-2*(z - 1)*(z + 2)*(4*z + 1)
Let c(u) be the second derivative of u**6/15 - u**4/6 - 18*u. Suppose c(n) = 0. Calculate n.
-1, 0, 1
Factor -2*c**2 + 15*c + c**2 - 4*c**2 + 0*c**2.
-5*c*(c - 3)
Let q(y) be the second derivative of y**6/150 - 3*y**5/100 + y**4/20 - y**3/30 + 2*y. Factor q(r).
r*(r - 1)**3/5
Let c = -3/10 - -4/5. Let m(r) be the first derivative of c*r**4 - 2*r**2 + 1 + 0*r - 2/3*r**3. Determine x so that m(x) = 0.
-1, 0, 2
Let m(r) = -r**3 + 10*r**2 - 7*r - 12. Let u be m(9). Let s be u/4*4/9. Let 0 - s*b + 2/3*b**2 = 0. Calculate b.
0, 1
Let m(q) be the second derivative of 5*q**7/42 - 31*q**6/30 + 23*q**5/10 - 2*q**4/3 - 14*q. Factor m(y).
y**2*(y - 4)*(y - 2)*(5*y - 1)
Let i(r) be the second derivative of 2*r**6/75 - 2*r**5/25 + r**4/15 + 2*r. Suppose i(b) = 0. What is b?
0, 1
Let x = 9 + -18. Let k(t) = t**3 + 9*t**2 + t + 11. Let j be k(x). Solve 11*h**3 - 50/3*h**4 + 0*h**j + 0 - 4/3*h + 7*h**5 = 0 for h.
-2/7, 0, 2/3, 1
Let i = 736 + -734. Determine p, given that -3/7*p**i + 18/7*p - 27/7 = 0.
3
What is o in -64/5 + 32/5*o - 4/5*o**2 = 0?
4
Let p be -1 - (0 + 11/(-9)). Let h be ((3*-4)/4)/(-1). Let 0*m + 0 + 2/9*m**2 + p*m**5 - 2/9*m**4 - 2/9*m**h = 0. Calculate m.
-1, 0, 1
Suppose 4*o + 5 = 3*o. Let t be 5/(((-25)/5)/o). What is u in -2/5*u + 0 + u**2 + 1/5*u**t - 3/5*u**3 - 1/5*u**4 = 0?
-2, 0, 1
Let c(r) = r + 1. Let l be c(2). Let h(f) be the second derivative of 1/20*f**5 + 1/6*f**l + 0 - 1/8*f**2 + f - 1/120*f**6 - 1/8*f**4. Factor h(i).
-(i - 1)**4/4
Factor 0*p + 1/2*p**2 - 1/4*p**3 + 0.
-p**2*(p - 2)/4
Let s(u) be the second derivative of -u**9/30240 + u**8/6720 - u**7/5040 + u**4/6 + 2*u. Let t(a) be the third derivative of 