tive of -1/4*k**3 - 1/16*k**4 - 1/4*k - 3/8*k**2 + 13. Factor q(o).
-(o + 1)**3/4
Factor -2/7*a**3 + 0 + 6/7*a**5 + 0*a**2 + 0*a - 4/7*a**4.
2*a**3*(a - 1)*(3*a + 1)/7
Let s be 3 + (2 - 3 - -1). Let z(h) = -2*h. Let r be z(-2). Factor -24*j**r + 19*j**4 - 5*j**2 - j - 2*j**s + 13*j**4.
j*(j - 1)*(2*j + 1)*(4*j + 1)
Let n be 44/(-33)*(-42)/8. Suppose n*y = 2*y. Factor -d**2 + 6*d**3 - 3*d**2 - 8*d - 2*d**3 + y*d**3.
4*d*(d - 2)*(d + 1)
Let o(d) be the second derivative of 9*d - d**4 + 2/21*d**7 + 2/5*d**6 + 0*d**2 - 4/3*d**3 + 1/5*d**5 + 0. Suppose o(t) = 0. Calculate t.
-2, -1, 0, 1
Suppose -n = 3*k + 4*n - 5, -3*n = -2*k + 16. Let t(x) = -7*x**3 - 11*x**2 + 8. Let h(q) = -4*q**3 - 6*q**2 + 4. Let i(b) = k*h(b) - 3*t(b). Factor i(r).
(r - 1)*(r + 2)**2
Factor 1/4*k**3 + 11/4*k**2 + 12 + 10*k.
(k + 3)*(k + 4)**2/4
Let i(k) = k**3 - 3*k**2 + 24*k + 3. Let g(u) = -2*u**3 + 8*u**2 - 70*u - 8. Let w(v) = -3*g(v) - 8*i(v). Suppose w(h) = 0. What is h?
-3, 0, 3
Let q(h) be the first derivative of h**7/252 - h**6/45 + h**5/20 - h**4/18 + h**3/36 + 3*h + 7. Let t(s) be the first derivative of q(s). Factor t(i).
i*(i - 1)**4/6
Suppose 5*p - 4*z + 22 = 10*p, 7 = -p + 3*z. Factor 0 + v + 1/2*v**3 + 3/2*v**p.
v*(v + 1)*(v + 2)/2
Let z = -305 + 305. Let u(w) be the third derivative of -3/40*w**6 - 2*w**3 - 5*w**2 + 7/20*w**5 + 0*w + 0 + z*w**4. Let u(p) = 0. Calculate p.
-2/3, 1, 2
Let a(d) be the second derivative of 3*d**5/80 - d**4/8 - d**3/8 + 3*d**2/4 + 2*d - 6. Factor a(t).
3*(t - 2)*(t - 1)*(t + 1)/4
Let z(i) be the second derivative of -i**5/40 - i**4/24 + 5*i**3/12 - 3*i**2/4 - 3*i + 53. Factor z(k).
-(k - 1)**2*(k + 3)/2
Let b(i) be the first derivative of 2*i**3/15 - 4*i**2/5 - 24*i/5 + 39. Solve b(g) = 0.
-2, 6
Determine s so that -4*s**3 + 52*s + 44*s - 50*s**2 + 82*s**2 - 52*s**2 = 0.
-8, 0, 3
Let r(i) be the first derivative of i**3/6 + 9*i**2/4 + 30. Find c such that r(c) = 0.
-9, 0
Let x(r) be the first derivative of 15 - 1/7*r**2 - 4/21*r**3 + 1/14*r**4 + 4/7*r. Factor x(b).
2*(b - 2)*(b - 1)*(b + 1)/7
Let u = 81/128 + 269/384. What is d in 1/3*d**3 + 5/3*d**2 + 8/3*d + u = 0?
-2, -1
Let u(f) = 68*f**2 - 108*f + 16. Let r(y) = -72*y**2 + 107*y - 16. Let w(i) = 4*r(i) + 5*u(i). Let w(k) = 0. Calculate k.
2/13, 2
Suppose 218 + 62 = -7*p. Let t = p - -42. Factor z - 1/2 - 1/2*z**t.
-(z - 1)**2/2
Let v be 75/45 - 4/(-3). Suppose 0 = -v*w - 4*w. Factor 0*a**4 - 1/6*a**5 + 1/3*a**3 + w*a**2 + 0 - 1/6*a.
-a*(a - 1)**2*(a + 1)**2/6
Let d = -1439 + 1444. Let y(m) be the third derivative of 1/300*m**d + 1/600*m**6 + 0*m**3 + 6*m**2 + 0 - 1/60*m**4 + 0*m. Factor y(j).
j*(j - 1)*(j + 2)/5
Suppose -380/3*m**2 - 8/3*m**3 + 0 + 4/3*m**4 - 400*m = 0. What is m?
-5, 0, 12
Let q = -3/311 - -945/1244. Let w(p) be the first derivative of -3/8*p**2 + 3/16*p**4 + 1/4*p**3 + 4 - q*p. Let w(j) = 0. Calculate j.
-1, 1
Suppose -57 = -2*s + 5*o, 4*o - 5*o = 5. What is h in s - 2*h + 2*h**2 - 16 = 0?
0, 1
Suppose h**4 + 0 - h**2 + 0*h - 1/2*h**3 + 1/2*h**5 = 0. Calculate h.
-2, -1, 0, 1
Suppose -i + 4 = -0. Let p(m) = m**2 - 3*m - 2. Let q be p(i). Suppose -2*c**3 + c**5 + 4*c**3 - 3*c + 3*c**4 + 0*c - 1 - q*c**2 = 0. What is c?
-1, 1
Let x be (2/57*19)/(2/2). Let d(u) be the first derivative of 1/8*u**4 + u**2 + x*u**3 - 3 + 0*u. Suppose d(v) = 0. What is v?
-2, 0
Suppose 6*h - 4*h**4 - 19*h**3 - h**5 + 10*h**4 - 7*h**2 + 14*h**5 + h**4 = 0. What is h?
-1, 0, 6/13, 1
Let p(h) = h**3 - 21*h**2 + 3. Let a be p(21). Suppose 2*f + a = 9. What is w in f*w**2 + 12/5 - 36/5*w = 0?
2/5, 2
Let g = 685 - 683. Let b(s) be the first derivative of -5 + 0*s**g - 2/15*s**3 + 8/5*s. Let b(d) = 0. Calculate d.
-2, 2
Let j(c) be the first derivative of c**4/22 - c**2/11 + 62. Solve j(i) = 0.
-1, 0, 1
Suppose -2*s - 6 = 6*g - 3*g, 7 = -3*s - 4*g. Suppose 3*k = 5*d - 19, -2*k + 21 = k + s*d. Factor 0*i + 0 + 2/9*i**5 + 2/9*i**k - 2/9*i**3 - 2/9*i**4.
2*i**2*(i - 1)**2*(i + 1)/9
Let l = -517/2 + 260. Let n(m) be the first derivative of 0*m - 4*m**3 + 36/5*m**5 + l*m**4 + 5 - 9/2*m**6 - 3/2*m**2. Determine t, given that n(t) = 0.
-1/3, 0, 1
Let t(k) = k**3 - k**2 - 4*k. Suppose 3 + 3 = 2*l. Let a be t(l). Factor -m + a*m**2 - 3*m**2 - 4*m**2.
-m*(m + 1)
Let o(x) be the third derivative of 13/18*x**4 + 0 - 2/3*x**3 + 0*x - 8*x**2 - 4/45*x**5. Find z, given that o(z) = 0.
1/4, 3
Let o(u) = -u**2 - 1. Let m(i) be the first derivative of i**5/5 - i**4/2 - 6*i**3 - 2*i**2 - 11*i + 12. Let y(x) = 4*m(x) - 44*o(x). Factor y(w).
4*w*(w - 4)*(w + 1)**2
Let l(q) be the first derivative of q**5/15 + 7*q**4/12 - q**3/9 - 7*q**2/6 - 115. Find v, given that l(v) = 0.
-7, -1, 0, 1
Let a be (1 - 6)/(1 + -2). Suppose -3*o + f = -3, o - 11*f + 16*f = -15. Factor o*b**2 + 3/5*b + 3/5*b**a + 0 - 6/5*b**3 + 0*b**4.
3*b*(b - 1)**2*(b + 1)**2/5
Let b(q) be the first derivative of 3*q**2 - 5*q - 28 - 3/5*q**3. Factor b(z).
-(3*z - 5)**2/5
Let n = 1483/196 + -40/49. Let o = -1/465 - -9769/1860. Factor -n*i + o*i**2 + 3/2.
3*(i - 1)*(7*i - 2)/4
Let l(h) = h**3 - h. Let w(k) = -14*k**3 + 13*k**2 - 22*k - 49. Let b(i) = 39*l(i) + 3*w(i). Factor b(x).
-3*(x - 7)**2*(x + 1)
Let z(u) = -u**3 + u + 2. Let g(v) = 10*v**3 - 5*v**2 - 15*v - 18. Let x(i) = 2*g(i) + 18*z(i). Let x(w) = 0. What is w?
-1, 0, 6
Suppose 15*r + 78 = 21*r. Suppose -7*b = -8 - r. Determine a so that -5/2*a**2 - 4*a - 2 - 1/2*a**b = 0.
-2, -1
Suppose 16 = 2*z - 8. Suppose 15*y = z*y + 57. Find n such that 4*n**3 - 32 + 4*n - y*n**2 + 44*n - 5*n**2 = 0.
2
Suppose -2*c - 41 = -4*t - 7, 4*t = 4*c + 32. Let o(k) be the third derivative of -t*k**2 + 0*k + 3/2*k**3 - 3/40*k**6 - 5/8*k**4 - 11/20*k**5 + 0. Factor o(y).
-3*(y + 1)*(y + 3)*(3*y - 1)
Let z(i) = -15*i**2 + 925*i - 22100. Let t(a) = 8*a**2 - 461*a + 11051. Let b(x) = -5*t(x) - 3*z(x). Factor b(n).
5*(n - 47)**2
Let d(s) = -2*s + 105. Let k be d(48). Let u(f) be the third derivative of 5/8*f**4 + 3/2*f**3 + 0 + 0*f - 1/40*f**6 + 1/20*f**5 + k*f**2. Factor u(z).
-3*(z - 3)*(z + 1)**2
Let r = -102652/45 - -2281. Let h = r + 5/9. Suppose -2*q**2 - h*q**3 - 16/5*q - 8/5 = 0. Calculate q.
-2, -1
Let j(x) be the second derivative of x**6/90 + 3*x**5/5 + 27*x**4/2 + x**3 + 23*x. Let i(h) be the second derivative of j(h). What is u in i(u) = 0?
-9
Let i(r) be the second derivative of r**8/1680 - r**6/60 - r**5/15 + 7*r**4/4 - 2*r. Let d(p) be the third derivative of i(p). Let d(g) = 0. Calculate g.
-1, 2
Let m(g) = 2*g**2 + 34*g + 96. Let r(t) = 4*t**2 + 67*t + 192. Let d(l) = -11*m(l) + 6*r(l). Solve d(i) = 0.
-8, -6
Let b(q) be the third derivative of -q**9/40320 - q**8/2240 - q**7/672 + 13*q**5/30 + 30*q**2. Let s(m) be the third derivative of b(m). Factor s(l).
-3*l*(l + 1)*(l + 5)/2
Let r(j) be the first derivative of 0*j + 0*j**2 + 1/20*j**4 + 3 - 4/15*j**3. What is l in r(l) = 0?
0, 4
Let r(l) be the third derivative of l**8/53760 - 11*l**7/40320 + l**6/960 - 11*l**5/60 - 4*l**2. Let w(n) be the third derivative of r(n). Solve w(f) = 0 for f.
2/3, 3
Let g be ((72/60)/(-3))/((-1)/4). Factor -4/5*v**2 - 2/5*v**3 + g*v + 16/5.
-2*(v - 2)*(v + 2)**2/5
Let s(j) be the first derivative of j**7/1400 + j**6/600 - j**5/40 + 3*j**4/40 - 15*j**3 - 42. Let n(z) be the third derivative of s(z). Factor n(o).
3*(o - 1)**2*(o + 3)/5
Let w be 28/49 + 1 + 169/(-112). Let h(o) be the second derivative of -5*o + 0 + w*o**4 + 1/8*o**3 - 3/80*o**5 - 3/8*o**2. Factor h(g).
-3*(g - 1)**2*(g + 1)/4
Let b(i) be the third derivative of 1/30*i**5 + 0*i**3 - 1/90*i**6 + 0 + 5*i - 1/36*i**4 + i**2. Suppose b(w) = 0. What is w?
0, 1/2, 1
Let u be (7 + -6)/((-2)/(-4)). Suppose -h + u*h = 0. Factor 4*r**2 + 0*r + 6*r**2 + h*r**3 + 2*r + 8*r**3.
2*r*(r + 1)*(4*r + 1)
Let y(j) = -2*j**2 - 14*j - 1. Let n be y(-7). Let i be 1/((-49)/42*n/3). Factor -4/7 - 2*s**2 - i*s.
-2*(s + 1)*(7*s + 2)/7
Let w(h) be the first derivative of h**6/27 + 4*h**5/45 - h**4/6 - 8*h**3/27 + 4*h**2/9 - 143. Factor w(s).
2*s*(s - 1)**2*(s + 2)**2/9
Let l(n) = 5*n**3 - 30*n**2 - 11*n - 6. Let m(x) = 5*x**3 - 30*x**2 - 15*x - 5. Let t(s) = 5*l(s) - 6*m(s). Factor t(k).
-5*k*(k - 7)*(k + 1)
Suppose 6/5*h**3 - 2/5*h**4 + 0*h + 0*h**2 + 0 = 0. What is h?
0, 3
Let n(v) be the third derivative of 2*v**7/35 + 37*v**6/30 + 1441*v**5/180 + 37*v**4/6 + 2*v**3 