w(b) = 0.
-1, 0, 1/4
Let n be (-9)/18*0/1. Let i(o) be the third derivative of 1/84*o**4 + 0 + n*o**3 + 1/70*o**5 + 0*o + o**2. Factor i(r).
2*r*(3*r + 1)/7
Let k(r) be the second derivative of -r**4/12 - r**3 - 4*r**2 + 12*r. Solve k(j) = 0 for j.
-4, -2
Let a = -9 + 12. Determine b so that 6*b**3 - 6*b**5 - 6*b + 12*b**a + 0*b + 3*b**4 + 3*b**2 = 0.
-1, 0, 1/2, 2
Suppose 17 + 13 = 5*p. Let i be (14/(-21))/((-8)/p). Factor 0 + 0*a + 0*a**3 - 1/2*a**2 + i*a**4.
a**2*(a - 1)*(a + 1)/2
Let w be 0 + 2 - (-5 - -2). Determine i so that -25 - 3*i**3 + 19 + 4*i + w*i = 0.
-2, 1
Let d(y) = -7*y**3 - 11*y**2 - y - 7. Let a(b) = 3*b**3 + 5*b**2 + b + 3. Let u = -4 - 1. Let f(w) = u*a(w) - 2*d(w). Suppose f(s) = 0. Calculate s.
-1
Let b(q) be the second derivative of -q**5/45 - 4*q**4/27 + 2*q**3/9 + 4*q**2 + 6*q. What is r in b(r) = 0?
-3, 2
Let r(h) be the first derivative of h**7/315 - h**5/90 + h**2 - 1. Let c(w) be the second derivative of r(w). Factor c(a).
2*a**2*(a - 1)*(a + 1)/3
Let d(g) = -3*g**4 + 3*g**3 + 12*g**2 - 21*g + 15. Let w(k) = 6*k**4 - 7*k**3 - 23*k**2 + 43*k - 29. Let f(s) = -5*d(s) - 3*w(s). Determine z so that f(z) = 0.
-2, 1, 2
Let d(j) be the third derivative of -j**8/5040 - j**7/1260 + 7*j**5/60 + 2*j**2. Let c(i) be the third derivative of d(i). Factor c(x).
-4*x*(x + 1)
Let c(v) = v - 1 - v**4 + v**5 + 4 - 4. Let w(m) = -15*m**5 + 15*m**4 - 6*m**3 + 6*m**2 - 15*m + 15. Let h(i) = 18*c(i) + w(i). Find q, given that h(q) = 0.
-1, 1
Let z = 50 + -34. Suppose 10*u - 6*u = z. Factor 1/2*k**u + 1/2*k**2 + 0*k + 0 - k**3.
k**2*(k - 1)**2/2
Let v(s) be the first derivative of -3*s**5/35 + 3*s**4/14 - s**3/7 + 5. Factor v(j).
-3*j**2*(j - 1)**2/7
Let x(h) = h**2 + 4*h + 2. Let o(m) = -3*m**2 - 13*m - 7. Let l(r) = 4*o(r) + 14*x(r). Let l(j) = 0. Calculate j.
-2, 0
Let l(y) = 3*y**2 + 11*y - 4. Let r(i) = -i**2 - 5*i + 2. Let n(u) = -2*l(u) - 5*r(u). Factor n(w).
-(w - 2)*(w - 1)
Let r = -6 - 1. Let d(p) = 6 - 2*p - 5*p**3 + 15*p**3 - p - 13*p**2. Let a(b) = 7*b**3 - 9*b**2 - 2*b + 4. Let u(x) = r*a(x) + 5*d(x). Factor u(f).
(f - 2)*(f - 1)*(f + 1)
Let s be (-2)/(-10)*(-4)/(-10). Let i(d) be the first derivative of 0*d**3 + 0*d**2 + 0*d + 0*d**4 + s*d**5 + 2 + 1/15*d**6. Factor i(r).
2*r**4*(r + 1)/5
Let a = 1 - 0. Let b be a - (-2 + -1)/3. Factor -4/7 - 6/7*o - 2/7*o**b.
-2*(o + 1)*(o + 2)/7
Let j be 6 - -1 - (-3)/((-3)/2). Let s(d) be the third derivative of 0*d**6 + d**2 - 1/30*d**j + 0*d + 0 + 0*d**4 + 0*d**3 + 1/105*d**7. Factor s(r).
2*r**2*(r - 1)*(r + 1)
Let j(h) = h**2 + 20*h + 6. Let x(a) = -4*a**2 - a. Let m(u) = 3*u**2 + u. Let r(n) = -5*m(n) - 4*x(n). Let f(v) = -j(v) - 5*r(v). Factor f(q).
-3*(q + 2)*(2*q + 1)
Factor -2*n**2 + 13*n - 15*n - 2*n**3 + 6*n**2.
-2*n*(n - 1)**2
Let z = -5 + 5. Suppose -4*x - 14 = -5*i + 6, z = 3*i - 2*x - 10. Factor -o**3 + o**5 + o**4 - o**2 + 0*o**5 + i*o**3.
o**2*(o - 1)*(o + 1)**2
Let p(a) be the second derivative of a**4/6 - 4*a**3/3 + 4*a**2 - 17*a. Factor p(n).
2*(n - 2)**2
Let z(r) = -r**2 - 6*r + 3. Let h be z(-6). Let v be (-1*9/h)/(-3). Let -l**4 - 1 + l**3 + v = 0. What is l?
0, 1
Let i(s) be the first derivative of -s**6/51 + 3*s**4/34 - 4*s**3/51 - 55. Factor i(z).
-2*z**2*(z - 1)**2*(z + 2)/17
Find l, given that -3/2*l**3 - 3/2*l + 15/4*l**2 + 0 = 0.
0, 1/2, 2
Let t be 2/(-5) + (-12)/20. Let a be 4*(3/(-12) - t). Factor x - 3 - 2 + 4 + x**2 - x**a.
-(x - 1)**2*(x + 1)
Let s(g) be the second derivative of -g**8/6720 + g**6/240 + g**5/60 + g**4/6 + g. Let z(j) be the third derivative of s(j). Determine d, given that z(d) = 0.
-1, 2
Let a be 2*1 - (6 + -8). Suppose -6*g = -a*g - 10. Find j such that j**2 - 1/2*j**g - j**3 - 3/2*j**4 + 1/2 + 3/2*j = 0.
-1, 1
Let a = -478/5 + 96. Find w, given that 0 - a*w**2 + 0*w = 0.
0
Let s = -12 + 11. Let c be 4/(-16)*-4 + s. Solve 1/2*r**5 + c*r**3 + 0*r**2 + 0 - 1/2*r**4 + 0*r = 0 for r.
0, 1
Let v(s) be the first derivative of 1/5*s**5 + 2*s**3 - 8 - 5/4*s**4 - 8*s + 2*s**2. Factor v(k).
(k - 2)**3*(k + 1)
Let c(o) = 5*o + 52. Let x be c(-10). Determine m, given that -3/5*m**x + 3/5*m + 6/5 = 0.
-1, 2
Let q(i) be the third derivative of i**6/360 + i**5/20 + 3*i**4/8 + 5*i**3/6 - 4*i**2. Let r(z) be the first derivative of q(z). Suppose r(j) = 0. What is j?
-3
Let x(o) be the second derivative of -o**7/840 + o**6/80 - o**5/20 - 5*o**4/12 - 2*o. Let u(h) be the third derivative of x(h). Find s such that u(s) = 0.
1, 2
Suppose -h = -1 - 4. Suppose 4*j + h*g = -20, -3*j + 20 = -2*j - 5*g. Find u such that 6/7*u**2 + 4/7*u + j = 0.
-2/3, 0
Let q(d) be the second derivative of d**5/4 - 65*d**4/12 + 40*d**3 - 90*d**2 + 39*d. Find p such that q(p) = 0.
1, 6
Let k be -2 - ((-64)/36 + (-1)/3). Let x(c) be the second derivative of 2/3*c**2 + 2*c + 0 + 1/30*c**5 - 1/9*c**4 - k*c**3. Determine l so that x(l) = 0.
-1, 1, 2
Suppose -4*o + 22 = 3*c, 1 = 5*c + 2*o - 17. Let g(z) = -z - 17. Let q be g(-21). Determine a so that 2*a**3 - 65 + 65 - 2*a**q + 2*a**2 - c*a**5 = 0.
-1, 0, 1
Factor 0*a**3 + 4/7*a**2 - 2/7 - 2/7*a**4 + 0*a.
-2*(a - 1)**2*(a + 1)**2/7
Suppose 0*g = -2*k + g + 3, 4*k = -4*g. Let q(b) = 3*b**3 + b**2 + b - 1. Let p be q(k). Factor 2/7*s**p + 4/7 + 10/7*s**3 + 2*s + 18/7*s**2.
2*(s + 1)**3*(s + 2)/7
Let h be 148/52 - 12/(-78). Let z(q) be the first derivative of 2/3*q**2 + 1/9*q**h + 4/3*q + 3. Factor z(k).
(k + 2)**2/3
Let y(u) = 15*u**2 - 16*u + 11. Let f(k) = -23*k**2 + 24*k - 17. Let m(v) = 5*f(v) + 8*y(v). Suppose m(h) = 0. What is h?
3/5, 1
Let p = -1207 + 1209. Suppose 0*j + 1/3*j**4 + 0 - 2/3*j**3 + 1/3*j**p = 0. Calculate j.
0, 1
Let m(a) be the first derivative of a**3 - 1/8*a**4 + 0*a - 9/4*a**2 - 4. Factor m(t).
-t*(t - 3)**2/2
Let v(w) be the second derivative of -w**5/5 + 2*w**3/3 + w. Factor v(h).
-4*h*(h - 1)*(h + 1)
Let p be (3/12)/((-3)/(-9)). Factor 0 - p*t**4 + 3/4*t**2 + 3/2*t**3 - 3/2*t.
-3*t*(t - 2)*(t - 1)*(t + 1)/4
Let x be -4*(1/4 - 3). Suppose 4*q - x = 5. Find w such that -2*w**5 + 4*w**2 + 0*w - 2*w**q + 4*w**3 + 3 - 2*w - 5 = 0.
-1, 1
Let f(a) be the first derivative of -a**6/15 + a**4/6 - 2*a + 2. Let n(i) be the first derivative of f(i). Solve n(k) = 0.
-1, 0, 1
Let d(l) be the first derivative of 2*l**3/27 - 2*l**2/9 - 1. Factor d(z).
2*z*(z - 2)/9
Let t(m) = m**4 + 26*m**3 - m**2 - 14*m + 6. Let i(b) = 5*b**4 + 105*b**3 - 5*b**2 - 55*b + 25. Let v(o) = 6*i(o) - 25*t(o). Suppose v(z) = 0. Calculate z.
-1, 0, 1, 4
Suppose -o - 2*z + 1 = -3, -5*o + z + 9 = 0. Factor 0*j - 3/2*j**4 + 0*j**o + 0 + 3/2*j**3.
-3*j**3*(j - 1)/2
Let d(q) = -5*q**3 - 10*q**2 + 5*q + 5. Let p(m) = m**4 + m**2 - 1. Let u(o) = d(o) + 5*p(o). Factor u(j).
5*j*(j - 1)**2*(j + 1)
Let y(f) be the third derivative of -3*f**8/784 - f**7/70 - f**6/56 - f**5/140 + f**2. Suppose y(j) = 0. Calculate j.
-1, -1/3, 0
Let t(d) be the third derivative of d**7/1365 - d**6/780 - d**5/195 - 42*d**2. Factor t(s).
2*s**2*(s - 2)*(s + 1)/13
Let k = 28/29 + -1873/2030. Let o(v) be the third derivative of 0*v**3 + 0*v + k*v**7 + 1/20*v**5 - 1/10*v**6 + 0*v**4 + v**2 + 0. Factor o(r).
3*r**2*(r - 1)*(3*r - 1)
Let d = 5 + -4. Suppose 0 = -2*j + 11 - d. Solve 2*h**j + 0*h**5 - 7*h**4 + 9*h**4 = 0.
-1, 0
Let f(i) = -12*i**4 - 58*i**3 - 84*i**2 - 50*i - 8. Let t(d) = 23*d**4 + 115*d**3 + 167*d**2 + 101*d + 16. Let v(u) = -5*f(u) - 2*t(u). Factor v(o).
2*(o + 1)**2*(o + 2)*(7*o + 2)
Let d = 0 - 14. Let k be ((-6)/7)/(3/d). Factor 0 + 0*p + 0*p**k + 0*p**2 - 2/9*p**5 + 2/9*p**3.
-2*p**3*(p - 1)*(p + 1)/9
Factor 18/5*p**3 + 3/5*p**4 + 12/5 + 36/5*p + 39/5*p**2.
3*(p + 1)**2*(p + 2)**2/5
Let w(k) be the third derivative of -k**5/20 - k**4/4 - k**3/2 + 35*k**2. Factor w(f).
-3*(f + 1)**2
Let 4/9*y - 10/9*y**4 - 14/9*y**2 + 2*y**3 + 2/9*y**5 + 0 = 0. What is y?
0, 1, 2
Let r = 10 - 3. Find k, given that 350*k**4 - 55*k - 470*k**3 + 290*k**2 + r - 98*k**5 - 6 - 25*k + 7 = 0.
2/7, 1
Let k = -5 - -5. Factor 0*g**3 + k*g - 2/3*g**4 + 0 - g**5 + 0*g**2.
-g**4*(3*g + 2)/3
Let j(w) be the third derivative of 7*w**5/60 - 23*w**4/24 + w**3 - 6*w**2. Let j(v) = 0. What is v?
2/7, 3
Let w(i) be the third derivative of i**9/13608 - i**3/2 + i**2. Let p(y) be the first derivative of w(y). Let p(d) = 0. Calculate d.
0
Let g(w) = -w**2 - w - 1. Let i(p) = 6*p**2 + 4*p + 5. Supp