+ 7*f**5/170 - 4*f**3/51 - 8*f. Suppose m(v) = 0. Calculate v.
-2/3, 0, 1, 2
Let g(a) = a**4 + a**2 + 1. Let q(t) = 7*t**4 - 7*t**3 + 4*t**2 + 2. Let n(y) = -10*g(y) + 5*q(y). Find u such that n(u) = 0.
0, 2/5, 1
Let q(t) be the third derivative of -t**9/7560 + t**8/1400 - t**7/700 + t**6/900 - t**3 - 3*t**2. Let r(n) be the first derivative of q(n). Factor r(o).
-2*o**2*(o - 1)**3/5
Suppose 0 = -3*z + 6, 0 = -3*n - 0*z - 5*z + 16. Let m = -2/489 - -497/1956. Factor m*u**n + 0 - 1/2*u.
u*(u - 2)/4
Let o = 396 + -393. What is b in -2/3 + 4/3*b - 4/3*b**o + 2/3*b**4 + 0*b**2 = 0?
-1, 1
Let w be (-3 + (-28)/(-12))*(-3)/8. Factor 1/4 + w*l**2 + 1/2*l.
(l + 1)**2/4
Let m = -8325 + 100027/12. Let k = -31/3 + m. Solve 0*g**3 + 0*g + 0 + 1/4*g**4 - k*g**2 = 0 for g.
-1, 0, 1
Let w(n) be the second derivative of 4*n**3 + 1/5*n**6 + 1/10*n**5 - 11/6*n**4 + 0 - 1/21*n**7 - 4*n - 4*n**2. Solve w(s) = 0.
-2, 1, 2
Let i(x) = 1 - 1 - 3*x - x**2. Let y(t) = 8*t**2 + 8*t - 2*t**2 + 2*t + 6*t. Let m(a) = 11*i(a) + 2*y(a). Factor m(s).
s*(s - 1)
Let y(x) be the second derivative of 0 + 1/4*x**2 - x - 1/20*x**5 + 1/6*x**3 - 1/24*x**4. Find j such that y(j) = 0.
-1, -1/2, 1
Let g(c) be the first derivative of 1/22*c**4 + 0*c + 2 - 2/33*c**3 + 0*c**2. Factor g(l).
2*l**2*(l - 1)/11
Let p be (18/(-5))/((-6)/(-60)). Let k be (p/264)/(6/(-8)). Factor 0 + 0*o + k*o**4 + 0*o**2 + 2/11*o**3.
2*o**3*(o + 1)/11
Factor -24/5*w**3 + 10 - 24*w + 2/5*w**4 + 92/5*w**2.
2*(w - 5)**2*(w - 1)**2/5
Let i be 8/10 + 4/(-5) + 2. Find r such that 0*r + 0 - 3/2*r**i = 0.
0
Let k(j) be the second derivative of 1/11*j**3 + 0 - 1/231*j**7 - 1/55*j**5 + 1/55*j**6 + 5*j - 1/11*j**2 - 1/33*j**4. Determine r so that k(r) = 0.
-1, 1
Let w(r) be the third derivative of -11/300*r**6 + 0 - 2/15*r**3 - 1/175*r**7 + 5*r**2 - 1/10*r**5 + 0*r - 3/20*r**4. Let w(o) = 0. What is o?
-1, -2/3
Let p(f) = -f**2 + f. Let c(i) = i**2 + 3*i. Let l = 23 - 33. Let r be l/8 + 4/16. Let s(v) = r*c(v) + p(v). Factor s(k).
-2*k*(k + 1)
Suppose -3*x = -x - 44. Let m = -22 + x. Factor 4/9*s - 2/9*s**4 + 2/9 - 4/9*s**3 + m*s**2.
-2*(s - 1)*(s + 1)**3/9
Suppose 3*t - 13 + 1 = 0. Determine v so that -v - 2*v**2 + t + v - v - v = 0.
-2, 1
Let p = -3 - -5. Let q(w) = w**2 - 14*w**p + 13*w - 4*w**2. Let d(t) = 8*t**2 - 6*t. Let j(h) = 13*d(h) + 6*q(h). Solve j(o) = 0 for o.
0
Suppose 5*l = 4*x + 16, -l + 8 = x + 3*x. Let k = 337/76 + -70/19. Suppose -3/2 - 3/4*y**3 + k*y - 3/4*y**l + 9/4*y**2 = 0. Calculate y.
-2, -1, 1
Let h = -585/7 - -84. Factor 9/7*u**2 - h - 3/7*u + 15/7*u**3 + 6/7*u**4.
3*(u + 1)**3*(2*u - 1)/7
Suppose -4*t + 6 = t + 2*j, 4 = -2*j. Factor -1/2*a**5 - a**t + a**3 + 1/2*a**4 + 1/2 - 1/2*a.
-(a - 1)**3*(a + 1)**2/2
Suppose -s + 4 = -2*n, s + 3*s + 3*n = -6. Let -2/9*p**2 - 4/9*p + s = 0. What is p?
-2, 0
Let g be (4/(-8))/((-1)/200). Let j be 55/g + 1/4. Solve j*u**2 + 0*u - 2/5*u**3 + 0 = 0.
0, 2
Suppose -6 = -2*z - z. Suppose 0*q**2 - 11*q**4 + 6*q - 2 + 0*q**2 - 6*q**3 + 10*q**z + 3*q**4 = 0. Calculate q.
-1, 1/4, 1
Let n be (2/6)/((-11)/(-198)*3). Factor -2/5*x**3 + 0*x + 0 + 2/5*x**n.
-2*x**2*(x - 1)/5
Let u = -15 + 18. Let j(m) be the first derivative of 1/9*m**6 + 0*m**u - 2 + 1/3*m**4 + 0*m + 2/5*m**5 + 0*m**2. Factor j(l).
2*l**3*(l + 1)*(l + 2)/3
Find g such that 0*g - 2/3*g**5 + 0 + 8/3*g**4 + 0*g**2 + 8*g**3 = 0.
-2, 0, 6
Suppose 3*r - 12 = 3. Suppose 2*u - r*p = 2, -5*u + 3*p - p + 26 = 0. Factor -2 - 5/2*v**2 - u*v.
-(v + 2)*(5*v + 2)/2
Let t(f) = 6*f**5 - 22*f**4 - 86*f**3 - 138*f**2 - 54*f. Let q(r) = r**5 + r**4 + r**3 - r**2 + r. Let c(m) = -10*q(m) + t(m). Factor c(n).
-4*n*(n + 2)**4
Let k be 1*2 + 3 + -3. Solve 0 - 5*z**k - 1 - z**2 + 7*z**2 = 0 for z.
-1, 1
Let o(r) be the second derivative of -3*r + 0 - 4/25*r**5 + 0*r**2 - 1/15*r**3 - 16/75*r**6 + 7/30*r**4. Factor o(q).
-2*q*(q + 1)*(4*q - 1)**2/5
Let q(a) be the third derivative of -1/630*a**7 - 3*a**2 + 0*a + 0*a**4 + 1/45*a**6 + 0*a**3 + 0 - 4/45*a**5. What is w in q(w) = 0?
0, 4
Let v be (7/(-70))/((-6)/15). Solve 1/4*k**2 - 1/2 + v*k = 0 for k.
-2, 1
Let d = -3 + 6. Let h(v) be the second derivative of 1/40*v**5 + v + 0 + 1/12*v**d + 0*v**2 - 1/12*v**4. Let h(o) = 0. Calculate o.
0, 1
Let k(f) = -3*f**3 + 6*f**2 - 36. Let t(n) = -2*n**3 + 6*n**2 - 35. Let g(c) = 3*k(c) - 4*t(c). Suppose g(o) = 0. What is o?
-4, 2
Let g be (-58)/(-8) + (-5)/20. Let y(j) = 9*j**4 - 4*j**2 + 9. Let b(a) = -5*a**4 + 2*a**2 - 5. Let i(n) = g*b(n) + 4*y(n). Factor i(s).
(s - 1)**2*(s + 1)**2
Factor 9/2*b**2 - 7/2*b + 1 - 5/2*b**3 + 1/2*b**4.
(b - 2)*(b - 1)**3/2
Let t be (-2 - 2)*(3/(-24))/1. Factor 5*i**2 - 5/2*i + t - 1/2*i**5 - 5*i**3 + 5/2*i**4.
-(i - 1)**5/2
Solve 9/5*q**2 - 21/5*q + 6/5 = 0 for q.
1/3, 2
Suppose -4*v + v + 21 = -5*z, -2*z = -2*v + 10. Let g = z + 5. Suppose 0 - 2/3*o**g + 2/3*o = 0. Calculate o.
0, 1
Let a(j) be the third derivative of -j**6/60 - 2*j**5/15 - j**4/4 + j**2. Factor a(x).
-2*x*(x + 1)*(x + 3)
Let f be -8*111/(-108) + -8. Let -f*k**5 + 4/9*k**4 + 0*k**2 + 0*k - 2/9*k**3 + 0 = 0. Calculate k.
0, 1
Suppose -7*k + 3*k - 4 = 0. Let d(h) = -8*h**3 - h**2 - h. Let g be d(k). Let 8*v - g*v + v**2 = 0. What is v?
0
Let a(i) be the third derivative of 0 + 1/2*i**4 - 4/3*i**3 - 1/70*i**7 - 2*i**2 + 1/10*i**5 + 0*i - 7/120*i**6. Determine k, given that a(k) = 0.
-2, 2/3, 1
Let v(z) be the first derivative of 1/4*z**4 + 0*z**3 + 0*z**2 + 0*z + 4/5*z**5 + 8. Factor v(p).
p**3*(4*p + 1)
Let u(d) be the first derivative of -d**4/4 + d**3/4 + d**2/8 - 3. Find k, given that u(k) = 0.
-1/4, 0, 1
Let d be 2/6 + 1338/9. Let w = 607/4 - d. Let 2*y**2 + 21/4*y**3 - w*y + 1/2 = 0. Calculate y.
-1, 2/7, 1/3
Let a(r) be the first derivative of -1/3*r - 1/9*r**3 - 5 - 1/3*r**2. Solve a(d) = 0 for d.
-1
Factor -k - 67*k**3 + 5*k**5 + 61*k**3 + 4*k - 2*k**5.
3*k*(k - 1)**2*(k + 1)**2
Let j(s) be the second derivative of -s**4/3 + 8*s**2 + 15*s. Let j(a) = 0. What is a?
-2, 2
Let o(y) be the third derivative of y**5/135 + 4*y**4/27 + 32*y**3/27 - 9*y**2. Factor o(h).
4*(h + 4)**2/9
Let s(i) be the third derivative of i**7/72 + i**6/30 + i**5/30 - i**4/6 - 4*i**2. Let r(m) be the second derivative of s(m). Let r(t) = 0. Calculate t.
-2/5, -2/7
Solve -35 + 75 - 4*n - 2*n**2 - 34 = 0 for n.
-3, 1
Let l(n) = 2*n**3 + 9*n**2 + 79*n + 83. Let f(m) = -m**3 - 3*m**2 - 26*m - 28. Let h(c) = 11*f(c) + 4*l(c). Find q, given that h(q) = 0.
-2, -1, 4
Let f(a) be the third derivative of a**6/780 - a**5/65 + a**4/13 - 8*a**3/39 - 7*a**2 + 1. Factor f(t).
2*(t - 2)**3/13
Factor -3/5*h**3 + 0*h + 0 - 1/10*h**2 - 2/5*h**5 - 9/10*h**4.
-h**2*(h + 1)**2*(4*h + 1)/10
Let n(u) be the first derivative of -3*u**5/10 + 3. Find z such that n(z) = 0.
0
Let v(a) be the first derivative of a**6/30 + 3*a**5/10 + 13*a**4/12 + 2*a**3 + 2*a**2 + 3*a + 1. Let h(j) be the first derivative of v(j). Factor h(g).
(g + 1)**2*(g + 2)**2
Let l(n) = 3*n**3 + 43*n**2 + 37*n + 5. Let i(k) = -k**3 - 21*k**2 - 18*k - 2. Let c(o) = -5*i(o) - 3*l(o). Find b such that c(b) = 0.
-5, -1/2
Let l = 0 - -2/5. Suppose 4/5 + 6/5*o + l*o**2 = 0. Calculate o.
-2, -1
Let u = 2 - -7. Suppose -2*p = 3 - u. Determine r, given that -10*r**3 + 8*r**p + r**2 + r**4 + 0*r**4 = 0.
0, 1
Let o = -3/20 - -13/20. Let u be -1 - 0 - 24/(-16). Factor -f**2 - f**3 + 1/2*f + o*f**4 + 1/2*f**5 + u.
(f - 1)**2*(f + 1)**3/2
Factor -2/3*p**3 + 8/3*p**2 - 2/3*p - 4.
-2*(p - 3)*(p - 2)*(p + 1)/3
Let w be (0 - -2) + 11/(-22). Factor 7/2*s + 5/2*s**2 + 1/2*s**3 + w.
(s + 1)**2*(s + 3)/2
Suppose 5*t + 34 = 3*k, 3*t + 9 = -3*k + k. Let i(n) be the third derivative of 1/90*n**5 + 1/9*n**4 + k*n**2 + 0*n + 0 + 4/9*n**3. Factor i(v).
2*(v + 2)**2/3
Let -1/4*z**4 + 0 + 0*z + z**3 - z**2 = 0. Calculate z.
0, 2
Suppose -3*j + 2*s + 9 = 5*s, 0 = 3*j - s - 9. Factor -1/3 + 1/6*u**j - 2/3*u**2 + 5/6*u.
(u - 2)*(u - 1)**2/6
Suppose -5*q - 30 = -s, -7*s + 3*s + 5*q + 45 = 0. Suppose -2*p + 10 = k, 5 = -s*k + k + p. Factor m**3 + m**4 - m + k*m**3 - m**2 + 0*m**2.
m*(m - 1)*(m + 1)**2
Let h(j) be the third derivative of -j**5/240 + j**4/96 + j**3/12 + 2*j**2. Factor h(y).
-(y - 2)*(y + 1)/4
Suppose 122*h = 126*h. Let z(p) be the third derivative of 3/20*p**5 + 1/8*p**4 + h*p - 1/70*p**7 - p**3 - 1/40*p**6 + 0 + 2*p**2. Factor z(f).