d derivative of 0 + p + 0*p**a - 1/3*p**3 + 2/3*p**4. Factor w(v).
2*v*(4*v - 1)
Find q such that 183*q - 183*q - 20*q**2 + 4*q**3 = 0.
0, 5
Let z be (-4)/22 - (-62)/(-22). Let n(a) = a**3 + 2*a**2 - 4*a - 1. Let u be n(z). Factor -i**3 - 3*i**u + 3*i**2 + i.
-i*(i - 1)*(i + 1)
Factor 4/5*q - 2*q**2 + 0 + 8/5*q**3 - 2/5*q**4.
-2*q*(q - 2)*(q - 1)**2/5
Let n(k) = -8*k**3 - 4*k - 6. Let g(z) = -7*z**3 - z**2 - 4*z - 5. Let i(p) = -6*g(p) + 5*n(p). Factor i(f).
2*f*(f + 1)*(f + 2)
Solve -48*s**2 + 9 - 6*s - 42*s**3 + s**4 - 11*s**4 + s**4 = 0.
-3, -1, 1/3
Let o(y) be the second derivative of -1/21*y**3 + 0 + 1/42*y**4 - 2/7*y**2 - 3*y. Factor o(r).
2*(r - 2)*(r + 1)/7
Suppose 7 + 23 = 5*x. Let r be 5 + -1 - x/(-3). What is j in 4*j**3 + 0*j**4 - r*j**4 + 3*j**2 - 7*j**3 = 0?
-1, 0, 1/2
Let c = -15 - -21. Let j be c/4 + (-21)/14. Factor 0 + 0*y**4 + j*y**2 + 1/2*y - y**3 + 1/2*y**5.
y*(y - 1)**2*(y + 1)**2/2
Let i(r) be the second derivative of r**7/70 - 2*r**6/25 + 3*r**5/20 - r**4/10 + 8*r. Determine s, given that i(s) = 0.
0, 1, 2
Let m(n) be the first derivative of 2*n**3/21 + 4*n**2/7 - 10*n/7 - 16. Solve m(s) = 0 for s.
-5, 1
Let l(o) be the third derivative of o**10/67200 + o**9/16128 + o**8/11520 + o**7/20160 - o**5/10 + o**2. Let t(k) be the third derivative of l(k). Factor t(c).
c*(c + 1)*(3*c + 1)**2/4
Suppose 3*w + 15 = 0, 4*v + w - 1 = -2*w. Let u be (v/(-16))/((-1)/2). Solve 3/4*o + u + 1/4*o**2 = 0 for o.
-2, -1
Let o = 1 - 1. Let w = -2 - -7/3. Suppose 0 + o*r + w*r**2 = 0. What is r?
0
Let s be 6/(-2) - (-5)/1. Factor w**s - 3*w + 5*w**2 - 3*w**2.
3*w*(w - 1)
Let c = 1639/2 + -819. Factor c*p + 1/2 - 3/2*p**2 - 1/2*p**3 + p**4.
(p - 1)**2*(p + 1)*(2*p + 1)/2
Let s(b) be the third derivative of 4*b**2 - 1/60*b**6 - 1/336*b**8 + 1/6*b**3 + 1/30*b**5 + 0*b + 0 + 1/8*b**4 - 1/70*b**7. Solve s(x) = 0 for x.
-1, 1
Let t be (-1)/5 + 288/(-10). Let a = 117/4 + t. Factor -1/2*h - 1/4*h**2 - a.
-(h + 1)**2/4
Suppose -2*x + 13 = -3*p + 2*p, -15 = -3*x - 3*p. Let j be 4/x - (-28)/12. Factor 0 + 1/2*i + 0*i**2 - 1/2*i**j.
-i*(i - 1)*(i + 1)/2
Let j be -4 - -1 - (-15 + 9). Let t(q) be the second derivative of 2/15*q**4 + 0 - 1/15*q**j + 0*q**2 - 2/25*q**5 - q. Factor t(l).
-2*l*(2*l - 1)**2/5
Factor 0*v**2 - v - 2*v**3 - 3*v**3 - 2*v**2 + 4*v**3.
-v*(v + 1)**2
Let q = -130/3 - -44. Factor -4/9 - q*o - 2/9*o**2.
-2*(o + 1)*(o + 2)/9
Suppose 4*k = 9 - 1. Let v(m) be the first derivative of 1/4*m**4 - 1/2*m**k + 1/3*m**3 + 0*m - 1/5*m**5 - 3. Suppose v(y) = 0. Calculate y.
-1, 0, 1
Suppose 137 = -2*h - 5*p, -h - 3*p = -29 + 97. Let m = h - -359/5. Factor -2/5*c**2 - 2/5 - m*c.
-2*(c + 1)**2/5
Solve -128 + 24*a + 8*a - 29*a**2 + 64*a**2 - 37*a**2 = 0 for a.
8
Let t(c) = -239*c**3 - 232*c**2 - 70*c - 2. Let d(z) = -718*z**3 - 697*z**2 - 211*z - 7. Let f(y) = -6*d(y) + 17*t(y). Factor f(r).
(5*r + 2)*(7*r + 2)**2
Let i(f) be the second derivative of f**4/6 + 2*f**3/3 + f**2 - 16*f. Suppose i(r) = 0. What is r?
-1
Factor 2/3 - l + 1/3*l**3 + 0*l**2.
(l - 1)**2*(l + 2)/3
Suppose 0 = o - 8 + 6. Suppose -o*q = 3*q. Determine d, given that q + 16*d + 0*d**2 - 4*d**2 - 8 + 2*d**3 - 6*d**2 = 0.
1, 2
Let f(w) be the second derivative of -w**4/15 + 13*w. What is a in f(a) = 0?
0
Let m be ((-15)/9)/(-5) - 3/9. Let n(y) be the first derivative of 1/14*y**4 + 0*y**2 + 2 + 2/21*y**3 + m*y. What is f in n(f) = 0?
-1, 0
Let t(u) = -4*u - 3 + 0*u**2 + u**2 - 1 + 2. Let x = 12 + -5. Let i(c) = -c**2 + 4*c + 3. Let w(g) = x*t(g) + 6*i(g). Factor w(a).
(a - 2)**2
Factor 0 - 100/3*l - 40/3*l**2 - 4/3*l**3.
-4*l*(l + 5)**2/3
Let m(n) = 5*n**3 + 26*n**2 - 31*n - 6. Let q(h) = 5*h**3 + 25*h**2 - 30*h - 5. Let o(p) = 5*m(p) - 6*q(p). Factor o(s).
-5*s*(s - 1)*(s + 5)
Let q(m) be the first derivative of 0*m**2 + 0*m + 1/2*m**4 + 2/3*m**3 - 3. Suppose q(z) = 0. What is z?
-1, 0
Suppose 0 = 3*p - 6 - 3. Suppose 10 + 14 = p*q. Factor q*a - 8*a + 2*a**2 + 2*a**3.
2*a**2*(a + 1)
Determine n so that -2*n**4 - 46/11*n**3 - 46/11*n**2 - 4/11*n**5 - 4/11 - 2*n = 0.
-2, -1, -1/2
Factor 12/5 - 3/5*g**4 - 24/5*g + 3/5*g**2 + 3*g**3 - 3/5*g**5.
-3*(g - 1)**3*(g + 2)**2/5
Factor -1/5*t**2 + 1/5*t**4 + 0 - 3/5*t**3 + 2/5*t + 1/5*t**5.
t*(t - 1)**2*(t + 1)*(t + 2)/5
Determine o so that 0 + 0*o + 2/9*o**2 + 2/9*o**3 = 0.
-1, 0
Let s(g) be the second derivative of -g**5/40 - g**4/8 - g**3/6 + 4*g. Let s(i) = 0. What is i?
-2, -1, 0
Let h(c) be the first derivative of 1/9*c**6 + 2/15*c**5 - 5 + 1/3*c**2 - 1/3*c**4 + 2/3*c - 4/9*c**3. Factor h(w).
2*(w - 1)**2*(w + 1)**3/3
Suppose 0*d + d - 2 = 0. Factor -2*r**d + 2*r**4 + 7*r**2 - 5*r**2.
2*r**4
Let j = 2 + 4. Suppose g - j = -2*g. Suppose -2/7*h + 0 + 2/7*h**g = 0. Calculate h.
0, 1
Let b = 5 - 8. Let j = -1 - b. Factor -1 + 0 + j - 4*k - 3 - 2*k**2.
-2*(k + 1)**2
Suppose -32/15 + 32/5*i - 8/5*i**3 + 2/3*i**4 - 32/15*i**2 = 0. What is i?
-2, 2/5, 2
Suppose 11*g - 20 = 7*g. Suppose -6/5*z**4 + 4/5*z**3 + 0*z**2 + 2/5*z**g + 0*z + 0 = 0. Calculate z.
0, 1, 2
Let g = 17 - 83/5. Determine f so that -2/5 + g*f**3 - 6/5*f**2 + 6/5*f = 0.
1
Suppose -5*m = 5*v - 10, -2*m = 2*m - 4*v + 24. Let s = 11 + m. Find t, given that -t**3 - 9*t**2 + t + s*t**2 = 0.
-1, 0, 1
Let s(r) = -r**4 - r**3 + r**2 - r + 1. Let f(i) = -4*i**5 + 13*i**4 + 5*i**3 - 5*i**2 + 5*i - 5. Let a(u) = -f(u) - 5*s(u). Factor a(b).
4*b**4*(b - 2)
Let h(j) be the third derivative of 0*j**4 + 0*j - 1/420*j**6 + j**2 + 0 + 0*j**3 - 1/735*j**7 + 1/588*j**8 + 0*j**5. Determine b, given that h(b) = 0.
-1/2, 0, 1
Let d = 5 + 0. Suppose 0 = d*q - 21 + 1. Determine s, given that -10*s - 38*s + 560*s**3 + 4 - 1125*s**5 + 168*s**2 - 20 - 225*s**q = 0.
-2/5, 1/3, 2/3
Let j(l) be the third derivative of -l**8/36 - 17*l**7/315 + 17*l**6/90 + 13*l**5/90 - 5*l**4/9 + 4*l**3/9 + 37*l**2. Suppose j(f) = 0. What is f?
-2, -1, 2/7, 1/2, 1
Let y = 221 + -221. Factor y + 1/5*s**3 + 1/5*s + 2/5*s**2.
s*(s + 1)**2/5
Suppose -17*p - 16*p + 264 = 0. Determine b so that 10/3*b**5 - 22/3*b**3 + 8*b + 16/3 - 52/3*b**2 + p*b**4 = 0.
-2, -2/5, 1
Let y(d) = -24*d + 17*d**2 - 6 - 5 + 7*d. Let b be (1 + 0)/(1/11). Let t(a) = -6*a**2 + 6*a + 4. Let c(z) = b*t(z) + 4*y(z). Solve c(k) = 0 for k.
0, 1
Let t(l) be the first derivative of 3/14*l**2 + 4/7*l**3 - 8 + 0*l. Solve t(z) = 0.
-1/4, 0
Let v(i) be the first derivative of -i**6/6 - 9*i**5/35 + 5*i**4/28 + 3*i**3/7 + i**2/7 - 7. Let v(w) = 0. Calculate w.
-1, -2/7, 0, 1
Factor 4 - p - 5/2*p**2 - 1/2*p**3.
-(p - 1)*(p + 2)*(p + 4)/2
Let z(g) be the third derivative of g**7/15 - g**6/60 - 7*g**2. Factor z(d).
2*d**3*(7*d - 1)
Let n(m) = -m**3 - 11*m**2 + m + 13. Let o be n(-11). Let -2*d - 3*d**3 - 3*d**2 + o*d**2 + 4*d**3 = 0. Calculate d.
-1, 0, 2
Let l(p) = 2*p**2 - 3*p - 3. Let f be l(3). Let q be (-3)/f*2*-2. Find a, given that -q + 2*a**3 - 2*a + 2 = 0.
-1, 0, 1
Let v = -3368 + 47085/14. Let l = -2/7 - v. Factor -l*i - 1/2 - 12*i**2 - 8*i**3.
-(i + 1)*(4*i + 1)**2/2
Suppose -3*u + 264 = -7*u. Let q = 40 - u. Suppose -96*t**2 - 10*t**4 - 13*t**4 + 34*t - 4 - 17*t**4 + q*t**3 = 0. Calculate t.
1/4, 2/5, 1
Let n = 599 + -2393/4. Factor 3/4*o**2 - 3/4*o**3 + 3/4*o - n.
-3*(o - 1)**2*(o + 1)/4
Let t = -11 + 14. Factor 2*v**t - 2*v**3 + v**3.
v**3
Factor -2 + 8/3*i - 2/3*i**2.
-2*(i - 3)*(i - 1)/3
Suppose 11 = -p - 3*p - 5*b, -4*p = -2*b - 10. Let r(o) = 3*o - 1. Let k be r(p). Suppose -2/7*u**k - 2/7 + 4/7*u = 0. Calculate u.
1
Let a(i) be the third derivative of i**2 + 1/240*i**5 + 0 + 0*i - 1/12*i**3 + 1/32*i**4 + 1/840*i**7 - 1/160*i**6. Factor a(p).
(p - 2)*(p - 1)**2*(p + 1)/4
Let l = 7 - 19. Let w(n) = -n**2 - 1. Let s(z) = 14*z**2 + 10. Let v(r) = l*w(r) - s(r). Determine c so that v(c) = 0.
-1, 1
Let m(b) be the second derivative of -b**6/50 + 3*b**5/20 - 9*b**4/20 + 7*b**3/10 - 3*b**2/5 + 22*b. Factor m(u).
-3*(u - 2)*(u - 1)**3/5
Let g be -2 - ((-12)/(-15))/(4/(-20)). Factor 2*a**3 + 0 + 2/3*a**2 + g*a**4 + 2/3*a**5 + 0*a.
2*a**2*(a + 1)**3/3
Factor 2/7*i**2 - 2/7 + 2/7*i**3 - 2/7*i.
2*(i - 1)*(i + 1)**2/7
Let g(p) be the second derivative of 0*p**6 + 0*p**3 + 0*p**4 + 1/231*p**7 + 0*p**2 + 0*p**5 + 0 - 6*p. What is b in g(b) = 0?
0
Suppose -t + 3 = -3*m - 2*m, 5*t - 15 = 2*m. Factor 4/9*z**2 - 2/9*z - 2/9*z**3 + m.
-2*z*(z - 1)**2/9
Find l such that 2