- z*p**3 - 2/9*p**4 + 2. Factor b(n).
-2*(n + 1)**4/9
Let n be 1/(-2)*174/145*-5. Solve 2*d**2 - 8/3 - 2/3*d**n + 0*d = 0 for d.
-1, 2
Let o be ((-60)/(-9) + -5)*(-3)/(-1). Determine w, given that 0*w + 0 - 24/7*w**4 - 4/7*w**2 + 18/7*w**3 + 10/7*w**o = 0.
0, 2/5, 1
Let o = 3 - 9. Let x be (-2)/4*(o - 0). Factor -2/5*z**4 + 8/5*z**x + 8/5*z - 12/5*z**2 - 2/5.
-2*(z - 1)**4/5
Let t(o) = 2*o**3 + 7*o**2 + 5*o - 6. Let c(d) = -d**3 - 5*d**2 - 3*d + 4. Let a(k) = -8*c(k) - 5*t(k). Let a(b) = 0. Calculate b.
-1/2, 1, 2
Let q(z) be the first derivative of 2/7*z**3 + 1 + 1/14*z**4 + 4/7*z - 5/7*z**2 - 2/35*z**5. Factor q(m).
-2*(m - 1)**3*(m + 2)/7
Let t be 1/2 + (-4)/(-16). Let j be (3/(-10))/((-12)/10). Factor 1/4*l**2 + 0*l - t*l**3 + 3/4*l**4 - j*l**5 + 0.
-l**2*(l - 1)**3/4
Let u(d) be the second derivative of -5*d**7/21 - d**6/5 + 17*d**5/10 + 19*d**4/6 - 4*d**2 - 9*d. Determine h so that u(h) = 0.
-1, 2/5, 2
Let k(m) = -m**2 - 10*m + 14. Let c be k(-11). Find p such that 0 + 0*p**2 - 1/3*p**c - 1/3*p**5 + 2/3*p**4 + 0*p = 0.
0, 1
Let p = 30 + -26. Solve 1/2*l - 2*l**p + 0 + 1/2*l**5 - 2*l**2 + 3*l**3 = 0.
0, 1
Let o be ((-28)/35)/((-4)/(-10)). Let d be 1/o - 11/(-2). Factor 2/7 - 20/7*c**3 - 10/7*c - 2/7*c**d + 10/7*c**4 + 20/7*c**2.
-2*(c - 1)**5/7
Let k(b) be the first derivative of 2*b**5/5 - 3*b**4/4 - b**3 + b**2 - 6. Factor k(j).
j*(j - 2)*(j + 1)*(2*j - 1)
Let a(s) = 4*s**3 - 19*s**2 - 7*s - 11. Let u(b) = 2*b**3 - 10*b**2 - 4*b - 6. Suppose -8*f - 44 = -4*f. Let d(j) = f*u(j) + 6*a(j). Factor d(t).
2*t*(t - 1)**2
Suppose -2*v = -v - 3. Factor -r**4 + 5*r**v + 4*r + 0*r + r**2 - 3*r - 6*r**3.
-r*(r - 1)*(r + 1)**2
Let r be -1*2*-1*1. Let h(v) = 3*v**2 - 2*v**r + 6*v**2 - 8*v + 0*v**2. Let k(a) = -2*a**2 + 2*a. Let f(q) = 6*h(q) + 22*k(q). Factor f(u).
-2*u*(u + 2)
Suppose 0 = -5*v - 2*y + 16, -3*v + 3 = y - 7. Let g(u) be the second derivative of 0 + 0*u**5 + 0*u**2 + u - 1/30*u**6 + 0*u**3 + 1/12*u**v. Factor g(d).
-d**2*(d - 1)*(d + 1)
Let b(p) be the second derivative of p**6/720 + p**5/480 + p**3/2 - p. Let w(a) be the second derivative of b(a). Solve w(s) = 0.
-1/2, 0
Let z = -15 - -18. Let q(b) be the first derivative of 7/8*b**2 + 2/3*b**z + 1/2*b + 3/16*b**4 - 3. Factor q(x).
(x + 1)**2*(3*x + 2)/4
Let m(y) be the first derivative of y**4/16 + y**3/3 - 22. Factor m(j).
j**2*(j + 4)/4
Let 2*p**3 + 6 + 6 - 10 + p + 6*p**2 + 5*p = 0. What is p?
-1
Suppose -2*o + 9 = o. Let k be o/9*12*1. Solve 3*b**3 - 2*b**4 - k*b + 1 + b**3 + 1 = 0 for b.
-1, 1
Suppose 0 = -49*n + 41*n. Let 1/6*m**2 + n + 0*m = 0. What is m?
0
Let y(x) be the second derivative of x**5/5 - 3*x**4 + 18*x**3 - 54*x**2 - 2*x. Suppose y(w) = 0. Calculate w.
3
Suppose 2*k = 3*k - 2. Let w be (1 - (-4)/(-3)) + k. Factor -w*r**2 + 4/3*r**4 - r + 1/3 + r**3.
(r - 1)*(r + 1)**2*(4*r - 1)/3
Let y(q) = -5*q**4 + 30*q**3 + 20*q**2 - 20*q + 20. Let x(d) = -d**3 - d**2 + d - 1. Let a(i) = 20*x(i) + y(i). Let a(b) = 0. What is b?
0, 2
Let x(v) = -v**3 + v**2 + v. Let h(w) = 13*w**3 + 41*w**2 + 53*w + 16. Let t be (-1)/(-3)*(-2 + -7). Let g(r) = t*x(r) - h(r). Factor g(a).
-2*(a + 2)**2*(5*a + 2)
Let f(h) be the first derivative of 0*h**2 + 1/5*h**5 + 0*h + 2 + 1/3*h**3 + 1/2*h**4. Factor f(d).
d**2*(d + 1)**2
Factor 15/2*v + 10 + 5/4*v**2.
5*(v + 2)*(v + 4)/4
Let m(d) = -3*d**4 + 12*d**3 - 6*d**2 + 6*d. Let a(r) = 3*r**4 - 11*r**3 + 7*r**2 - 7*r. Let n(z) = 6*a(z) + 7*m(z). Factor n(h).
-3*h**3*(h - 6)
Solve 3/4*h**3 - 1/4*h**4 + 1/4*h + 0 - 3/4*h**2 = 0.
0, 1
Let o(m) = 7*m + 5 + 11 + m + 9*m**2. Let x(s) = -s**2 - s - 2. Let g = 74 - 23. Let l(d) = g*x(d) + 6*o(d). Let l(f) = 0. What is f?
-1, 2
Let q(b) be the second derivative of -b**4/16 + 5*b**3/12 - 3*b**2/8 + b. Suppose q(s) = 0. What is s?
1/3, 3
Let p be 2*-1*(-19)/133. Let 12/7*j + 18/7 + p*j**2 = 0. Calculate j.
-3
Let s(n) be the first derivative of -n**7/840 + n**6/120 - n**5/60 + 5*n**3/3 - 1. Let m(q) be the third derivative of s(q). Factor m(h).
-h*(h - 2)*(h - 1)
Let r(u) = u + 4. Let d be r(-2). Factor 2/13*b**d - 2/13 - 2/13*b + 2/13*b**3.
2*(b - 1)*(b + 1)**2/13
Let r(k) be the second derivative of k**6/165 + k**5/22 + 3*k**4/22 + 7*k**3/33 + 2*k**2/11 + 2*k + 5. Factor r(x).
2*(x + 1)**3*(x + 2)/11
Let p = -8/29 - -256/87. Factor 5/3*b**5 + p*b**4 + 2/3 - 10/3*b**2 - 4/3*b**3 - 1/3*b.
(b - 1)*(b + 1)**3*(5*b - 2)/3
Let d be (0/(-2))/((-2)/1). Let f(w) be the third derivative of -1/96*w**4 - 2*w**2 + 0 + 0*w + d*w**3 + 1/240*w**5. What is i in f(i) = 0?
0, 1
Let p(c) be the first derivative of c**3/4 + 9*c**2/8 + 3*c/2 - 27. What is h in p(h) = 0?
-2, -1
Let y(w) be the third derivative of -w**6/120 - w**5/10 - 10*w**2. Let y(b) = 0. What is b?
-6, 0
Factor 0 + 4/3*t - 2/3*t**2.
-2*t*(t - 2)/3
Suppose j - 5*j = 0. Suppose j = -5*o - 0*o. Solve 4/7*h**4 + o - 2/7*h - 4/7*h**2 + 2/7*h**5 + 0*h**3 = 0.
-1, 0, 1
Let b(v) = -2*v - 33. Let m be b(-18). Factor 0 + 16/3*s**3 + m*s**4 - 2/3*s + 5/3*s**2.
s*(s + 1)**2*(9*s - 2)/3
Find u, given that u**5 + u**5 + 4*u**4 + 0*u**4 = 0.
-2, 0
Let k be -30*(0 - (-2)/(-4)). Let d be (-5)/10 + k/14. Let -2/7 - 2/7*f**2 + d*f = 0. Calculate f.
1
Let x = 6 + -5. Let m = -1/2 + x. Factor 3/2*b**2 + 3/2*b + m + 1/2*b**3.
(b + 1)**3/2
Suppose -5*h + 20 = -0*h. Let g be (1/12)/(h/12). Factor 1/2*i + g + 1/4*i**2.
(i + 1)**2/4
Let w(y) be the first derivative of 4*y**3/21 - 4*y**2/7 + 4*y/7 - 4. Factor w(c).
4*(c - 1)**2/7
Let a = -2 + 9. Suppose -2 = -m + 1. Factor -m*t**3 - 7 + t**4 + a + 3*t**2 - t.
t*(t - 1)**3
Suppose -4*q = -q - 12. What is m in -1/4*m**5 + 1/2*m + 3/4*m**q - 3/4*m**2 + 0 - 1/4*m**3 = 0?
-1, 0, 1, 2
Let z = 106/5 - 21. Let a(g) be the third derivative of 2*g**2 + 0 - z*g**5 - 1/8*g**4 - 7/120*g**6 + 0*g + 1/3*g**3. Factor a(i).
-(i + 1)**2*(7*i - 2)
Let c(y) be the first derivative of -y**3/6 + y**2/2 - 27. Factor c(d).
-d*(d - 2)/2
Let z = 307 + -304. What is p in -10/9*p**2 - 2/3*p**z + 2/9*p**4 + 2/9*p**5 + 0 - 4/9*p = 0?
-1, 0, 2
Let i(h) be the first derivative of -h**4/22 + 8*h**3/33 - 5*h**2/11 + 4*h/11 + 12. Factor i(o).
-2*(o - 2)*(o - 1)**2/11
Let m(n) be the second derivative of n**5/60 + n**4/9 + 5*n**3/18 + n**2/3 - n. Factor m(z).
(z + 1)**2*(z + 2)/3
Suppose 2*k + 3*k = 0. Factor k*p - p + 5*p**2 - 2*p**2 - 2*p**2.
p*(p - 1)
Let v be (-3)/(-15) + ((-1)/5 - -3). Factor 2/7 - 2/7*j - 2/7*j**2 + 2/7*j**v.
2*(j - 1)**2*(j + 1)/7
Suppose 13*r - 6*r = 28. Let q = -3/2 + 2. Suppose 0 - v**2 + v**r + q*v - 2*v**3 + 3/2*v**5 = 0. Calculate v.
-1, 0, 1/3, 1
Let o(x) be the second derivative of -x**7/630 + x**6/72 - 2*x**5/45 + x**4/18 - 4*x**2 - x. Let w(u) be the first derivative of o(u). Factor w(c).
-c*(c - 2)**2*(c - 1)/3
Find w such that -4/5*w + 3/5*w**3 - 11/5*w**2 + 0 = 0.
-1/3, 0, 4
Let y(j) be the first derivative of j**7/1680 + j**6/720 + j**3/3 - 4. Let f(u) be the third derivative of y(u). Factor f(i).
i**2*(i + 1)/2
Let u(r) be the second derivative of -r**4/12 - r**3/6 - 2*r. Factor u(v).
-v*(v + 1)
Let h(n) be the third derivative of -n**7/1680 - n**6/480 - n**4/24 + 4*n**2. Let s(z) be the second derivative of h(z). Factor s(x).
-3*x*(x + 1)/2
Suppose -10 = -4*z + 2. Solve -c**2 - 5 - z*c + 3 + 0*c**2 = 0 for c.
-2, -1
Let m(f) = -3*f**4 + 6*f**3 + 25*f**2 + 8*f. Let c(b) = 7*b**4 - 11*b**3 - 49*b**2 - 16*b + 1. Let a(y) = 4*c(y) + 7*m(y). Let a(d) = 0. Calculate d.
-1, 2/7, 2
Suppose -n - 4*n + 13 = -3*w, 15 = 3*n. Let y(t) be the second derivative of 0 - 1/24*t**3 + 1/80*t**5 + 1/48*t**w + t - 1/8*t**2. Factor y(l).
(l - 1)*(l + 1)**2/4
Let c(l) be the first derivative of l**5/80 + l**4/32 + 2*l**2 - 1. Let v(p) be the second derivative of c(p). Suppose v(x) = 0. What is x?
-1, 0
Let z(m) be the third derivative of m**8/112 - 4*m**7/105 + m**6/40 + m**5/30 - 5*m**2. Find i, given that z(i) = 0.
-1/3, 0, 1, 2
Let n be (-4)/14 - (-13)/21. Factor 0*q + 0 - 1/3*q**2 + n*q**4 + 1/3*q**5 - 1/3*q**3.
q**2*(q - 1)*(q + 1)**2/3
Let x(g) = -5*g**3 + 4*g - 6*g + 8*g**2 - 6 + 3*g + 0*g**3. Let j(z) = 9*z**3 - 15*z**2 - 2*z + 11. Let h(s) = -6*j(s) - 11*x(s). Factor h(l).
l*(l + 1)**2
Let d(b) be the first derivative of b**3/3 + 5*b**2 + 25*b + 4. Find u, given that d(u) = 0.
-5
Suppose -25*z + 26*z = 2. Let n(o) be the first derivative of 2 +