(d) be the second derivative of -d**5/70 + d**4/42 + d**3/21 - d**2/7 - 29*d. Factor q(k).
-2*(k - 1)**2*(k + 1)/7
Let j(h) = 29*h**4 + 69*h**3 + 40*h**2 - 9*h - 9. Let i(w) = -7*w**4 - 17*w**3 - 10*w**2 + 2*w + 2. Let u(b) = -9*i(b) - 2*j(b). Factor u(p).
5*p**2*(p + 1)*(p + 2)
Let c be 12/(-33)*(-1)/2. Suppose 2/11 + 2/11*w - 2/11*w**3 - c*w**2 = 0. Calculate w.
-1, 1
Let n(h) be the third derivative of 0 + 7/24*h**4 + 1/12*h**5 - 1/3*h**3 + 4*h**2 - 1/30*h**6 + 0*h. Factor n(q).
-(q - 2)*(q + 1)*(4*q - 1)
Let h = 461/4 + -115. Solve -h - 1/4*w**2 + 1/2*w = 0.
1
Let q(g) = 4*g + 1. Let y be q(3). Suppose -19*x**4 - y*x**4 + 16*x**3 - 8 + 40*x**2 - 16*x**5 - 4*x**5 + 4*x = 0. What is x?
-1, 2/5, 1
Let r be (60/8)/(72/32). Determine d so that 4/3 - 2/3*d**3 + 8/3*d**2 - r*d = 0.
1, 2
Let j(x) be the third derivative of x**8/840 + 2*x**7/525 - x**5/75 - x**4/60 + 25*x**2. What is t in j(t) = 0?
-1, 0, 1
Let d be ((-2)/(-2))/(1/9). Suppose -3*o - 5*f = 2 + d, -3*f = 4*o. Suppose 33/5*k**2 + 0 + 39/5*k**4 - 9/5*k**5 - 57/5*k**o - 6/5*k = 0. What is k?
0, 1/3, 1, 2
Let c(o) be the first derivative of -2/7*o**2 + 0*o - 3 - 2/7*o**3. Factor c(m).
-2*m*(3*m + 2)/7
Let m = -68/7 - -354/35. Suppose -m*d + 4/5 - 2/5*d**2 = 0. Calculate d.
-2, 1
Let p be ((-4)/(-6)*3)/(2/3). Let l(x) be the first derivative of -2/15*x**p + 1/5*x**2 + 2/5*x - 1/10*x**4 + 1. Factor l(b).
-2*(b - 1)*(b + 1)**2/5
Let a(r) = 2*r**5 + 6*r**4 + 9*r**3 + 2*r**2 - 3. Let s(d) = 2*d**5 + 6*d**4 + 10*d**3 + 2*d**2 - 4. Let v(w) = -4*a(w) + 3*s(w). Find t, given that v(t) = 0.
-1, 0
Let j(h) = -h**2 + 4*h + 2. Let b be j(4). Factor -7 + 6*v - 2*v**2 + 3 + 0*v**b.
-2*(v - 2)*(v - 1)
Let j be (1 - 1)*15/30. Let y = 14 + -96/7. Factor -y*z**4 + 0*z**2 + j*z + 0*z**3 + 0.
-2*z**4/7
Let w(o) be the first derivative of -2*o**3/3 - o**2 + 33. Suppose w(j) = 0. What is j?
-1, 0
Factor -f**2 + 15 + 12*f + 4*f**2 - 6*f**2.
-3*(f - 5)*(f + 1)
Let t(y) be the third derivative of -y**8/504 + y**7/315 + y**6/90 - y**5/45 - y**4/36 + y**3/9 + 8*y**2. Find f such that t(f) = 0.
-1, 1
Factor 3*u**2 - 12*u**4 - 7*u**5 - 3*u**3 - 3*u**2 + 0*u**4 + 2*u**2.
-u**2*(u + 1)**2*(7*u - 2)
Suppose 17 - 30*m - 2*m**3 + 20 + 10 - 18*m**2 + 3 = 0. Calculate m.
-5, 1
Let h(y) be the second derivative of -1/45*y**6 + 0*y**3 + 0 - 1/18*y**4 + y + 0*y**2 + 1/15*y**5. Factor h(i).
-2*i**2*(i - 1)**2/3
Let j = -23 - -23. Let v(l) be the second derivative of 0 - 1/15*l**6 + j*l**2 + 0*l**3 + 1/6*l**4 + 0*l**5 - 3*l. Factor v(b).
-2*b**2*(b - 1)*(b + 1)
Let q be ((-234)/147)/(-13)*7. Factor 0 - 15/7*c**2 + q*c.
-3*c*(5*c - 2)/7
Let w = -529 - -39676/75. Let d(u) be the third derivative of 0*u**3 + 0*u + w*u**5 + 0 + 1/300*u**6 + u**2 + 1/60*u**4. Let d(x) = 0. Calculate x.
-1, 0
Let j(n) = -3*n**3 + n**2 - 3*n - 7. Let o(v) be the second derivative of -v**5/10 - v**3/3 - 2*v**2 - 7*v. Let a(s) = 4*j(s) - 7*o(s). Solve a(z) = 0.
-1, 0
Let f(h) be the third derivative of h**7/1260 + h**6/120 - h**5/15 + 7*h**4/24 - 6*h**2. Let x(c) be the second derivative of f(c). Factor x(n).
2*(n - 1)*(n + 4)
Let k(i) = i**3 - 11*i**2 + 10*i + 4. Let d be k(10). Let s = -1 + d. Factor 2 - 27/4*r**s - 9*r + 27/2*r**2.
-(3*r - 2)**3/4
Let o(g) = -g**4. Let k(u) = u**5 - 8*u**4 + 2*u**2 - u. Let q(f) = k(f) - 6*o(f). Factor q(w).
w*(w - 1)**3*(w + 1)
Let v(j) be the second derivative of -2*j**7/21 + 4*j**5/5 + 2*j**4/3 - 2*j**3 - 4*j**2 - 3*j. Suppose v(x) = 0. Calculate x.
-1, 1, 2
Let n(m) = 2*m**2 + 2*m + 2. Let f(i) = i**2 + i + 2. Suppose 0*k = 4*k - 16. Let q(v) = k*n(v) - 6*f(v). Suppose q(r) = 0. Calculate r.
-2, 1
Find d such that -4/3*d**4 - 8/3 + 32/3*d + 22/3*d**3 - 14*d**2 = 0.
1/2, 1, 2
Factor 0 + 9/7*f**5 - 6/7*f + 3*f**4 - 9/7*f**2 + 9/7*f**3.
3*f*(f + 1)**3*(3*f - 2)/7
Let k(s) = -2*s**3 - 5*s**2 - 5*s + 4. Let h(c) = 6*c**2 + 9*c - c**2 + 4*c**3 - c**3 - 7 + 4*c**2. Let v(n) = 4*h(n) + 7*k(n). Factor v(d).
-d*(d - 1)*(2*d + 1)
Let c(t) be the second derivative of 1/4*t**2 + 0 - 1/6*t**3 - 4*t + 1/24*t**4. Suppose c(d) = 0. What is d?
1
Let n(m) = m**2 + 1. Let f(v) = v**4 + v**3 - 6*v**2 - v - 5. Let t(i) = 2*f(i) + 10*n(i). Suppose t(r) = 0. What is r?
-1, 0, 1
Let n(y) be the first derivative of y**3 - 15*y**2 + 75*y + 13. Factor n(m).
3*(m - 5)**2
Let n be (0 - 0 - 0)/(-1). Let v(h) be the first derivative of 0*h**2 + n*h + 1/12*h**6 + 0*h**4 + 0*h**3 + 1/10*h**5 - 1. Factor v(l).
l**4*(l + 1)/2
Let j(d) be the second derivative of -1/126*d**7 - 1/30*d**6 - 1/30*d**5 + 1/6*d**3 + 1/18*d**4 + d + 0 + 1/6*d**2. Let j(q) = 0. What is q?
-1, 1
Suppose 2*i = -0*i + 12. Suppose 10 = 4*v - 3*u, -i*u + 3*u = -3*v + 6. Factor -2/7*y - 12/7*y**3 + 0 - 2/7*y**5 - 8/7*y**v - 8/7*y**2.
-2*y*(y + 1)**4/7
Let i = -18 + 20. Let x(o) = 2*o**2 - o + 2. Let b be x(2). Suppose 16*w**2 + 4*w - b*w**3 + 6*w**i + 22*w**3 - 40*w**4 = 0. What is w?
-2/5, -1/4, 0, 1
Suppose -4*d = -7*d + 15. Find t such that 9*t**4 + 20*t**5 + 0*t**2 - 9*t**3 + 3*t**2 - 23*t**d = 0.
0, 1
Let r(q) be the first derivative of -8/3*q**3 - 10*q**2 - 5 - 8*q. Factor r(n).
-4*(n + 2)*(2*n + 1)
Let n(y) be the second derivative of -y**4/12 - y**3/3 - y**2/2 + 2*y. Let k be n(-1). Factor -1 + 2*j**2 - j**2 + k*j**2.
(j - 1)*(j + 1)
Let f(q) = -70*q**4 - 15*q**3 + 70*q**2 + 15*q. Let k(u) = -5*u**4 - u**3 + 5*u**2 + u. Let h(w) = 4*f(w) - 55*k(w). Determine o so that h(o) = 0.
-1, 0, 1
Suppose -2*m = -6*m. Let s = -4 - -7. Solve 1/4*r**s + r**2 + r + m = 0.
-2, 0
Factor 7*m**2 - 2*m**2 - 14*m**2 + 3*m**3.
3*m**2*(m - 3)
Suppose -2*k + 14 = 4. Let n(s) be the first derivative of -s - 1/5*s**k + 1/6*s**6 - 1 + 1/2*s**2 + 2/3*s**3 - 1/2*s**4. Factor n(z).
(z - 1)**3*(z + 1)**2
Let z = -15183/17 + 5771869/6460. Let x = z + 3/76. Factor 2/5*f**5 - 4/5*f**4 + 0 + 0*f**3 + 4/5*f**2 - x*f.
2*f*(f - 1)**3*(f + 1)/5
Let c(p) be the third derivative of p**5/60 - 7*p**4/24 + p**3 + 15*p**2. Suppose c(h) = 0. What is h?
1, 6
Let g(h) be the second derivative of h**4/102 - h**2/17 + 14*h. Find a, given that g(a) = 0.
-1, 1
Let -5/2 + 25/4*i + 5/4*i**3 - 5*i**2 = 0. Calculate i.
1, 2
Let m(f) be the first derivative of -3*f**4/8 + 9*f**2/4 - 3*f + 2. Solve m(l) = 0 for l.
-2, 1
Let v be 3 - (3 - 2) - 0. Let t = 0 + v. Factor -2*m**2 - 2*m + m**t - m**2.
-2*m*(m + 1)
Let l be 28/154 + 9/11. Let c(w) be the first derivative of -1/4*w + 3/20*w**5 + l + 1/2*w**4 + 1/2*w**3 + 0*w**2. Factor c(p).
(p + 1)**3*(3*p - 1)/4
Factor -14*r + 13*r + 3*r**3 + 2 + 4*r**2 + 2 - 6.
(r + 1)**2*(3*r - 2)
Let r be -32*((-6)/(-4))/(-3). Suppose -4*s - 2*q - 2*q + r = 0, 0 = -s + 5*q - 8. Factor 2/9*c + 0 - 2/9*c**5 + 0*c**3 - 4/9*c**s + 4/9*c**4.
-2*c*(c - 1)**3*(c + 1)/9
Let l = 28 - 25. Suppose 0 = r - l*r. Find g such that 0 + 4/7*g**4 - 6/7*g**3 + 2/7*g**2 + r*g = 0.
0, 1/2, 1
Let u = -9 - -12. Let p be (34/10 - u)*1. Find r, given that -2/5*r**3 + p - 2/5*r**2 + 2/5*r = 0.
-1, 1
Let q be 0 + 3/(-6)*-2. Suppose 7*b - 7*b - 3*b**2 + 2 + q = 0. What is b?
-1, 1
Let m(c) be the first derivative of 3*c**4/22 + 2*c**3/11 + 10. Factor m(u).
6*u**2*(u + 1)/11
Let o(i) be the first derivative of i**8/84 - i**6/30 - 2*i**2 - 1. Let k(w) be the second derivative of o(w). Factor k(p).
4*p**3*(p - 1)*(p + 1)
Let v be (-2 - -2)*1*-1. Factor 3*a**3 + 2*a - 5*a + v*a.
3*a*(a - 1)*(a + 1)
Suppose 0*p**4 + 0*p**3 + 3*p**3 - p**3 - 2*p + p**2 - p**4 = 0. Calculate p.
-1, 0, 1, 2
Factor -32/7*b**4 + 0 - 2*b**5 - 4/7*b**2 + 0*b - 22/7*b**3.
-2*b**2*(b + 1)**2*(7*b + 2)/7
Let b(t) be the third derivative of t**9/241920 - t**7/20160 - t**5/15 + 2*t**2. Let v(l) be the third derivative of b(l). Factor v(n).
n*(n - 1)*(n + 1)/4
Factor 0*f**3 + 0*f - 2/9*f**5 + 0*f**2 - 2/9*f**4 + 0.
-2*f**4*(f + 1)/9
Let z be (-13)/(-2) + 6/(-1). Let y(n) be the third derivative of 0*n + 1/10*n**5 - z*n**3 - 5*n**2 + 0 + 1/8*n**4. Factor y(c).
3*(c + 1)*(2*c - 1)
Let x = 223/9 + -217/9. Factor 0*d**2 + x - 1/3*d**3 + d.
-(d - 2)*(d + 1)**2/3
Let r(w) = -4*w**3 - 2*w**2 - 4*w. Let s(m) = -m**3 - m. Suppose -25 = -5*x, -f + 15 = -6*f + 5*x. Let t = -12 + f. Let y(o) = t*s(o) + 2*r(o). Factor y(q).
2*q*(q - 1)**2
Let h(z) = 5*z**3 + 3*z**2 - 9*z + 1. Let t(g) = 24*g**3 + 14*g**2 - 44*g + 6. Let o(m) = -14*h(m) + 3*t(m). Let o(s) = 0. What i