+ 0.
-x*(x - 1)**2/2
Let y = 5/412 - -449/30900. Let b(u) be the third derivative of 0*u - 2*u**2 - 1/12*u**4 + 0 - 1/300*u**6 - y*u**5 - 2/15*u**3. Solve b(d) = 0 for d.
-2, -1
Find l such that 20/7*l**4 + 4/7*l**5 + 36/7*l**3 + 0 + 4*l**2 + 8/7*l = 0.
-2, -1, 0
Suppose 12*f - 16*f - 5*k + 8 = 0, -6 = -3*f - 3*k. Suppose -1/4*p**f - p - 1 = 0. What is p?
-2
Let l(d) = 23*d**3 + 5*d**2 - 9*d. Let o(k) = -11*k**3 - 2*k**2 + 4*k. Let y(j) = -4*l(j) - 9*o(j). Factor y(u).
u**2*(7*u - 2)
Let p(o) = -o**4 - o**2. Let f(v) = -2*v**5 - 4*v**4 + 2*v**3. Let l(s) = s + 3. Let q be l(-4). Let z(c) = q*f(c) + 2*p(c). Factor z(a).
2*a**2*(a - 1)*(a + 1)**2
Let a = -17/6 + 19/6. Factor 0 + 2/3*m**2 + 1/3*m + a*m**3.
m*(m + 1)**2/3
Suppose 17*r - 9 - 3*r**2 - 8*r - 3*r + 6 = 0. What is r?
1
Let c(m) be the first derivative of 1/5*m**4 + 14/25*m**5 - 2/5*m - 1 - 4/5*m**3 - m**2 + 1/5*m**6. Let c(w) = 0. Calculate w.
-1, -1/3, 1
Let n(h) = 13*h**2 - 32*h - 40. Let c(t) = 72*t**2 - 176*t - 220. Let d(k) = 5*c(k) - 28*n(k). Determine a so that d(a) = 0.
-1, 5
Let k(b) = -3*b**2 + 6*b + 2. Let y(m) = 3*m**2 - 6*m - 3. Let q(l) = 6*k(l) + 5*y(l). Factor q(j).
-3*(j - 1)**2
Let h(y) be the third derivative of y**6/120 + y**5/10 + y**4/2 + 4*y**3/3 - 6*y**2. Factor h(i).
(i + 2)**3
Let f(w) = 4*w + 1. Let t be f(-1). Let l be 4/((-4)/(-5)) + t. Factor 1 - 8*m**3 - 5 - 18*m**2 + 2*m + l - 14*m.
-2*(m + 1)**2*(4*m + 1)
Let k(m) be the third derivative of -m**7/735 - m**6/140 - m**5/70 - m**4/84 + 9*m**2. Factor k(i).
-2*i*(i + 1)**3/7
Determine r so that 4/9 - 4/9*r**2 + 0*r = 0.
-1, 1
Let x(h) be the first derivative of -2*h**5/45 - h**4/9 - 2*h**3/27 - 3. Factor x(l).
-2*l**2*(l + 1)**2/9
Suppose q = 4*q. Let m(w) be the second derivative of 0*w**2 + 0*w**3 + q*w**4 + 0 - 2*w + 1/105*w**6 + 1/70*w**5. Factor m(z).
2*z**3*(z + 1)/7
Let u(m) be the first derivative of -m**5/20 - m**4/12 + m**3/6 + m**2/2 + 3*m + 3. Let j(b) be the first derivative of u(b). Let j(r) = 0. Calculate r.
-1, 1
Suppose -13*n = -63 + 11. Factor 0 - 3/5*c**3 + 0*c**n + 0*c + 0*c**2 + 3/5*c**5.
3*c**3*(c - 1)*(c + 1)/5
Suppose -23*k - 20 = -28*k - 3*u, -3*u - 8 = -2*k. Factor 1/5*z**3 + 0*z**k - 1/5*z**5 + 0 + 0*z + 0*z**2.
-z**3*(z - 1)*(z + 1)/5
Let v be (-6)/4 + (-165)/(-22). Let i be v/(-8)*16/(-18). Factor i*o**2 + 4/3 - 2*o.
2*(o - 2)*(o - 1)/3
Let c be (-2)/5 + (-53)/(-120). Let z(n) be the second derivative of c*n**4 + 0 + n + 0*n**3 + 0*n**2. Suppose z(t) = 0. Calculate t.
0
Factor -1 - 5/4*n - 1/4*n**2.
-(n + 1)*(n + 4)/4
Let 0*u**3 + 3/7 + 0*u - 6/7*u**2 + 3/7*u**4 = 0. What is u?
-1, 1
Let c(y) = 4*y**4 + 6*y**3 + 7*y**2 - 7*y + 7. Let m(h) = 3*h**4 + 6*h**3 + 6*h**2 - 6*h + 6. Let l = 15 + -21. Let x(j) = l*c(j) + 7*m(j). Factor x(u).
-3*u**3*(u - 2)
Let x(c) be the first derivative of 25*c**7/42 + 2*c**6/3 - 21*c**5/20 - 5*c**4/3 - 2*c**3/3 - 5*c + 4. Let z(f) be the first derivative of x(f). Factor z(p).
p*(p - 1)*(p + 1)*(5*p + 2)**2
Let r be (-6)/15 + (-236)/10. Let x be (-6)/r - 46/(-72). What is q in 2/9 + 4/3*q**2 + 8/9*q + x*q**3 + 2/9*q**4 = 0?
-1
Factor -2/25*k**3 + 2/25 + 2/25*k - 2/25*k**2.
-2*(k - 1)*(k + 1)**2/25
Let z(y) be the third derivative of -y**5/90 - y**4/9 - 4*y**3/9 - 4*y**2. Determine f so that z(f) = 0.
-2
Factor 5/3*r**2 + 4/3 - 1/3*r**3 - 8/3*r.
-(r - 2)**2*(r - 1)/3
Let j(m) be the third derivative of m**8/4200 - m**7/525 + m**6/225 + 2*m**3/3 - 7*m**2. Let s(i) be the first derivative of j(i). Let s(v) = 0. What is v?
0, 2
Let n = -16 - -1. Let s(b) = -2*b - 26. Let m be s(n). Factor 3/4*z**3 + 1/4*z - 3/4*z**2 + 0 - 1/4*z**m.
-z*(z - 1)**3/4
Let c = 2707/252 + -75/7. Let l(y) be the third derivative of 0*y**3 + 1/60*y**6 + 0*y + y**2 + 0 + c*y**4 + 1/30*y**5 + 1/315*y**7. Factor l(d).
2*d*(d + 1)**3/3
Let v(r) be the second derivative of 0*r**3 - 5*r + 0*r**2 - 1/2*r**4 - 3/5*r**5 + 1/4*r**6 + 0. Suppose v(n) = 0. Calculate n.
-2/5, 0, 2
Let k(q) be the first derivative of 2 + 0*q - q**2 - 1/3*q**3. Factor k(r).
-r*(r + 2)
Let t(z) be the first derivative of -z**6/42 - 3*z**5/35 - 3*z**4/28 - z**3/21 - 39. Let t(c) = 0. What is c?
-1, 0
Let v be 1/(-4) + (-130)/(-40). Suppose 0 = 3*i + 2*l - 7 - 7, 0 = i + v*l - 14. Factor -2/3*a + 2/3*a**3 + 4/3*a**i - 4/3.
2*(a - 1)*(a + 1)*(a + 2)/3
Let f(a) be the first derivative of -a**7/1260 - a**6/270 - a**5/180 - 5*a**3/3 + 7. Let g(c) be the third derivative of f(c). Determine v so that g(v) = 0.
-1, 0
Let z = -4 + 10. Suppose i**2 + 3*i**3 - 2*i**3 - z*i + 4*i = 0. What is i?
-2, 0, 1
Solve 8*c + 73 + 4*c**4 - 5*c**4 - 69 + 3*c**2 - 2*c**3 = 0.
-2, -1, 2
Find h, given that 24/5*h - 6/5 + 6*h**2 = 0.
-1, 1/5
Let x(a) = -a**4 - a**3 - a**2 - a. Let u(y) = 7*y**4 + 9*y**3 + 9*y**2 + 7*y. Let n(v) = -u(v) - 6*x(v). Let n(t) = 0. What is t?
-1, 0
Suppose -24*i + 6 = -21*i. Find j such that -1/2*j**i + 1/4*j**3 + 0 + 1/4*j = 0.
0, 1
Let c(i) = 30*i**3 - 57*i**2 + 39*i - 9. Let b(n) = -61*n**3 + 113*n**2 - 78*n + 19. Let p(k) = 3*b(k) + 7*c(k). Let p(f) = 0. Calculate f.
2/9, 1
Factor 0 - 10/9*v**3 + 0*v + 4/9*v**2 - 14/9*v**4.
-2*v**2*(v + 1)*(7*v - 2)/9
Let j be (-3)/(-18) + (-8)/48. Let o(d) be the second derivative of 1/12*d**4 + 1/20*d**5 + 3*d + 0*d**3 + 0 + j*d**2. Factor o(h).
h**2*(h + 1)
Let g be (-1)/2 + 4065/8100. Let p(w) be the third derivative of 0 + 0*w - 1/45*w**5 + g*w**6 + 1/9*w**4 - 8/27*w**3 + 3*w**2. Determine c so that p(c) = 0.
2
Let x(j) = -j**2 - 12*j + 5. Let r be x(-12). Find p, given that r*p**3 + 6*p**2 - 8*p + 20*p - 11*p = 0.
-1, -1/5, 0
Let z(m) be the first derivative of 2*m**6/3 + 8*m**5/5 + m**4 + 6. Solve z(k) = 0 for k.
-1, 0
Let -4/7*r**3 + 36/7 - 20/7*r**2 - 12/7*r = 0. Calculate r.
-3, 1
Let n(o) be the third derivative of o**9/83160 + o**8/36960 - o**7/13860 - o**6/3960 + o**4/6 - 8*o**2. Let m(g) be the second derivative of n(g). Factor m(z).
2*z*(z - 1)*(z + 1)**2/11
Solve -1/4*m**4 - 3/2*m**2 + 2 + m - 5/4*m**3 = 0.
-2, 1
Let m(s) = s**3 + 4*s**2 - 12*s + 4. Let o be m(-6). Determine c so that 2/3*c**2 + 0 - c**3 + 0*c + 1/3*c**o = 0.
0, 1, 2
Let f = 44/35 + -4/35. Factor -2/7*l**4 - 12/7*l**2 - 8/7*l**3 - f*l - 2/7.
-2*(l + 1)**4/7
What is t in -t + t**2 + 2*t + t - 3 + 0*t = 0?
-3, 1
Let y(z) = -z**3 + 7*z**2 + 8*z + 2. Let g be y(8). Factor g - 4 - m**2 - 2 + 4*m.
-(m - 2)**2
Factor 2/3*s**4 + 1/6*s**5 - 2/3*s**2 + 1/2*s**3 - 2/3*s + 0.
s*(s - 1)*(s + 1)*(s + 2)**2/6
Let r = -2/1129 + 2284/14677. Solve 4/13*h - r*h**2 - 2/13 = 0.
1
Let n(l) = 20 + 0*l + 2*l - 30. Let d be n(6). Factor -1/4*r**3 + 0*r + 0*r**d + 0.
-r**3/4
Let t be (-7)/(14/4) + 4. Determine w so that -w**3 - 41 + 42 - 6*w**2 + 5*w**t + w = 0.
-1, 1
Suppose 0 = s - 1 - 3. Solve -10/3*m**3 - 4/3*m**2 + 2*m**s + 0 + 0*m = 0 for m.
-1/3, 0, 2
Let f = 17/3 + -31/6. Let p(w) be the first derivative of 1/8*w**4 + 1/6*w**3 - 1/4*w**2 - f*w - 2. Factor p(x).
(x - 1)*(x + 1)**2/2
Let a(k) = k + 6. Let n be a(-7). Let d be (0/(-2 + n))/1. Factor -7/3*w**5 - 2/3*w**3 + 3*w**4 + d*w**2 + 0*w + 0.
-w**3*(w - 1)*(7*w - 2)/3
Let r = -503/12 - -173/4. Find b, given that 16/3*b**4 + 4/3*b + 0 + r*b**5 + 16/3*b**2 + 8*b**3 = 0.
-1, 0
Let b(h) be the second derivative of h**9/7560 + h**4/3 - 4*h. Let o(y) be the third derivative of b(y). Determine n so that o(n) = 0.
0
Let u(p) = -2*p**5 - p**4 + 2*p**3 + 4*p**2 + 2*p. Let r(a) = -a**5 - a**3 - a**2. Let i(s) = -5*r(s) + 5*u(s). Let i(m) = 0. What is m?
-1, 0, 2
Let x(f) = -f**5 + f**4 - f**3 - f**2 - 1. Let v(l) = -7*l**5 + 3*l**4 - 9*l**3 - 7*l**2 - 6. Let c(u) = -v(u) + 6*x(u). Factor c(i).
i**2*(i + 1)**3
Suppose -18 = -z + 15*h - 12*h, 4*z - 32 = 4*h. Factor -128/3 - 8*t**2 + 32*t + 2/3*t**z.
2*(t - 4)**3/3
Let q = -39 + 41. Find z such that -1/3 - z - 1/3*z**3 - z**q = 0.
-1
What is b in -10*b**3 - 2*b**2 + 2*b**2 + 8*b**3 = 0?
0
Let z(p) = 9*p**4 - p**3 - 9*p**2 + p - 3. Let g(x) = x**4 - x**3 - x**2 + x + 1. Let d(o) = -3*g(o) - z(o). Factor d(f).
-4*f*(f - 1)*(f + 1)*(3*f - 1)
Suppose -4*n - 2 - 10 = -2*d, d - 15 = 5*n. Let m(i) be the third derivative of 0 + 0*i**3 - 1/30*i**5 - 3*i**2 + d*i - 1/6*i**4. Solve m(y) = 0.
-2, 0
Let b be 15/(-6)*1/(-50). Let w = b + 7/20. Factor -2/5*s**3 + 0 + w*s**2 + 4/5*s.
-2*s*(s - 2)*(s + 1)/5
Let s = -130/7 - -281/1