*(z + 2)
Let h = -38 + 38. Suppose -4*o + 4*p - 4 = h, -4*o + 9 = 3*p - 8. Factor 0 - 3/5*t**o - 3/5*t.
-3*t*(t + 1)/5
Let v(n) = n**5 + 5*n**3 - 3*n**2 + 3. Let x(y) = 0*y**2 - 5*y**2 + 2 + 166*y**3 + 3*y**2 - 162*y**3. Let a(z) = 2*v(z) - 3*x(z). Let a(b) = 0. Calculate b.
-1, 0, 1
Let b(k) be the second derivative of k**4/51 + 7*k**3/51 + 3*k**2/17 - 105*k. What is y in b(y) = 0?
-3, -1/2
Let w(x) = -9*x**3 - 2*x**2 + 93*x + 150. Let i(l) = 47*l**3 + 11*l**2 - 464*l - 750. Let p(a) = 2*i(a) + 11*w(a). Factor p(s).
-5*(s - 5)*(s + 2)*(s + 3)
Let x be 13/(2/(-4) + 0). Let u be (-168)/(-78) + 4/x. Factor -3*c**3 - c**2 + 3*c**2 - 2*c**u.
-3*c**3
Let v(l) be the first derivative of l**3/3 + 3*l**2/2 - 70. Solve v(f) = 0 for f.
-3, 0
Let c be 330*7/126 + -16. Factor c*u + 2/3 + 5/3*u**2.
(u + 1)*(5*u + 2)/3
Let c(i) = i**3 - i. Let t(g) = g**2 - 1. Let l(r) = c(r) + 4*t(r). Factor l(o).
(o - 1)*(o + 1)*(o + 4)
Let b(l) be the third derivative of 0 - 25/24*l**6 - l**2 - 1/3*l**3 + 13/24*l**4 - 25/42*l**7 + 1/4*l**5 + 0*l. Solve b(c) = 0.
-1, -2/5, 1/5
Let d(c) be the third derivative of -c**6/120 - 7*c**5/60 - c**4/3 + 8*c**3/3 + 5*c**2 - 9*c. Determine r, given that d(r) = 0.
-4, 1
Let a(x) = -16*x**4 - 40*x**3 + 112*x**2 + 292*x + 132. Let c(i) = -i**4 - i**3 + i**2 + 2*i - 1. Let h(w) = -a(w) + 12*c(w). Factor h(f).
4*(f - 4)*(f + 1)**2*(f + 9)
Let c(b) be the first derivative of -7*b**4/12 + 10*b**3/3 - 6*b**2 + 8*b/3 - 64. Factor c(z).
-(z - 2)**2*(7*z - 2)/3
Let v = -99 - -95. Let w be (v/3)/((-70)/30). Factor 4/7*r**4 + 2/7*r**5 - w*r**2 + 0 - 2/7*r + 0*r**3.
2*r*(r - 1)*(r + 1)**3/7
Suppose -4*u + 2*q = -20, -q = -43 + 37. Factor 3*j**2 + 16/3 - u*j.
(3*j - 4)**2/3
Factor -64 + 7203*b - 7395*b - 32*b**4 - 128*b**3 - 4*b**5 - 224*b**2 - 4*b**4.
-4*(b + 1)*(b + 2)**4
Let u(s) be the second derivative of -s**4/8 + 7*s**3/2 + 45*s**2/4 - 89*s. Factor u(v).
-3*(v - 15)*(v + 1)/2
Suppose -7*g + 11*g = 240. Let p be g/90 - (-2)/(-6). Solve 1/6*r**2 + 0 + p*r = 0 for r.
-2, 0
Factor 1770*a - 126*a**2 - 8424 - 558*a + 3*a**3 + 552*a + 192 + 0*a**3.
3*(a - 14)**3
Suppose 8 = s - 4*j, 4*j + 8 = -18*s + 3*s. Let l(o) be the second derivative of s + 0*o**3 + 11*o - 1/12*o**2 + 1/36*o**4 + 0*o**5 - 1/180*o**6. Factor l(h).
-(h - 1)**2*(h + 1)**2/6
Let r = 271 + -271. Let i(y) be the first derivative of 0*y**2 + 0*y**4 + r*y + 4 - 6/5*y**5 + 0*y**3 + 1/2*y**6. Factor i(a).
3*a**4*(a - 2)
Let v(r) be the first derivative of r**4/36 - 2*r**3/3 + 6*r**2 - 12*r - 11. Let x(f) be the first derivative of v(f). Factor x(u).
(u - 6)**2/3
Let l(f) = f**3 - 15*f**2 + 39*f - 8. Let z be l(12). Let q be (-4)/7*z/(-88). Determine o, given that 2/11*o + 0 - 4/11*o**2 + q*o**3 = 0.
0, 1
Suppose 3/2*q**2 - 15/2 + 6*q = 0. Calculate q.
-5, 1
Suppose 3*v = -b + 33, 4*b - 3*v + 5*v = 162. Find c, given that 41*c**2 - 4*c - b*c**2 + 3*c = 0.
-1, 0
Solve 10*p**2 - 393*p**3 - 5*p + 388*p**3 + 0*p = 0 for p.
0, 1
Let w(f) be the second derivative of f**6/105 + 3*f**5/35 + f**4/42 - 8*f**3/7 + 16*f**2/7 + 106*f. Factor w(k).
2*(k - 1)**2*(k + 4)**2/7
Solve 3 + 45/4*t - 3*t**2 = 0 for t.
-1/4, 4
Let d(m) be the third derivative of -5/6*m**3 - 1/300*m**5 + 26*m**2 + 0*m + 0 + 1/12*m**4. Solve d(x) = 0 for x.
5
Let d(g) be the third derivative of -g**5/480 + g**4/32 - 5*g**3/48 - 73*g**2. Factor d(m).
-(m - 5)*(m - 1)/8
Let b = 529/2 + -10039/38. Determine u, given that -2/19*u**3 - 2/19 - b*u - 6/19*u**2 = 0.
-1
Let s(u) = -2*u + 59. Let c be s(27). Factor 108*n**2 + 454 + 2*n**3 - 1296*n - c*n**3 + 170 + 4560.
-3*(n - 12)**3
Suppose -2/3*z**5 - 22*z**3 + 76/3*z**2 + 88*z - 8*z**4 + 48 = 0. What is z?
-6, -1, 2
Let a(c) be the first derivative of 13 - 1/8*c**2 + 3/16*c**4 + 0*c + 1/6*c**3. Let a(h) = 0. What is h?
-1, 0, 1/3
Let l(w) be the third derivative of -w**6/120 - w**5/60 + w**4/24 + w**3/6 + 9*w**2 - 1. Solve l(s) = 0 for s.
-1, 1
Determine y, given that -12/11 - 10/11*y - 2/11*y**2 = 0.
-3, -2
Let h(d) be the first derivative of 5*d**3/3 + 115*d**2/2 + 110*d + 64. Factor h(a).
5*(a + 1)*(a + 22)
Let q = 10/8417 + 8367/42085. Suppose -t - 4 = -3*t. Find f such that 0 + q*f**t - 1/5*f = 0.
0, 1
Let n(p) be the third derivative of -p**7/210 + 19*p**6/480 - 11*p**5/240 - p**4/24 - p**2 - p. Determine l so that n(l) = 0.
-1/4, 0, 1, 4
Let j(a) be the third derivative of a**5/75 - 2*a**4/5 - 56*a**3/15 + 2*a**2 - 81*a. Let j(y) = 0. What is y?
-2, 14
Factor 6*i + 7*i**2 - 3 - 12*i**2 + 2*i**2.
-3*(i - 1)**2
Find w, given that 0 - 20*w**2 - 14*w - 1/2*w**5 + 3/2*w**3 + 7*w**4 = 0.
-1, 0, 2, 14
Let a(x) be the second derivative of 1/100*x**5 + 1/20*x**4 + 23*x - 1/150*x**6 - 1/5*x**2 + 0 - 1/30*x**3. Factor a(n).
-(n - 2)*(n - 1)*(n + 1)**2/5
Let u(s) be the second derivative of -2*s**2 + 9/4*s**4 + 0 - s + 7/30*s**6 + 13/10*s**5 + 2/3*s**3. Factor u(g).
(g + 1)**2*(g + 2)*(7*g - 2)
Let l(f) be the second derivative of 0 + 1/160*f**5 + 1/32*f**4 - 13*f + 1/16*f**2 + 1/16*f**3. Determine z so that l(z) = 0.
-1
Let 173*r - 91*r + 0*r**2 - 106*r - 3*r**2 = 0. Calculate r.
-8, 0
Determine j so that -2*j**3 + 16/3*j + 0 - 44/3*j**2 - 10/3*j**5 + 44/3*j**4 = 0.
-1, 0, 2/5, 1, 4
Let b(r) be the third derivative of 0*r - 1/35*r**7 - 1/224*r**8 - 3/40*r**6 - 1/16*r**4 + 0 - 7*r**2 + 0*r**3 - 1/10*r**5. Factor b(m).
-3*m*(m + 1)**4/2
Let v be 6/(-9)*(-4 - 14/16). Factor -v*h - 4*h**2 - 3/4 - h**3.
-(h + 3)*(2*h + 1)**2/4
Factor 516*v + 4*v**2 - 991*v + 176 + 571*v.
4*(v + 2)*(v + 22)
Let h(s) be the third derivative of -1/30*s**4 + 0*s + 4*s**2 + 1/300*s**5 + 2/15*s**3 + 0. Let h(c) = 0. Calculate c.
2
Let i(f) = -30. Let b(x) = x + 1. Let u(n) = 4*b(n) - i(n). Let k be u(-8). Factor 1/4*y**k + 1/4 - 1/2*y.
(y - 1)**2/4
Suppose 0 = l - m - 11, 6 = 2*l + 4*m - 46. Factor l - 64 + 40*w**2 - 32 - 5*w**4.
-5*(w - 2)**2*(w + 2)**2
Suppose -2*f + 228 = -k, 5*k - f = f - 1148. Let d be k/(-560) - 1/8. Find u, given that 2/7*u**3 + 0 - d*u + 0*u**2 = 0.
-1, 0, 1
Let s(d) be the first derivative of 4*d + 5/12*d**6 - 18 + 11*d**2 + 77/8*d**4 + 16/5*d**5 + 43/3*d**3. Determine b, given that s(b) = 0.
-2, -1, -2/5
Let u(p) be the second derivative of 1/120*p**5 + 1/72*p**4 + 0*p**2 - 1/18*p**3 + 0 - 15*p. Factor u(k).
k*(k - 1)*(k + 2)/6
Determine d so that 68*d**4 + 590 - 1835*d**2 - 170 + 20*d**5 + 78*d**4 - 1180*d - 151*d**4 - 660*d**3 = 0.
-3, -2, 1/4, 7
Let x(z) be the second derivative of 16*z + 1/195*z**6 + 1/273*z**7 + 0*z**5 + 0*z**4 + 0*z**3 + 0 + 0*z**2. Factor x(y).
2*y**4*(y + 1)/13
Let y(d) be the third derivative of -d**7/210 + 2*d**6/15 - 8*d**5/5 + 32*d**4/3 + 5*d**3/6 - 11*d**2. Let h(x) be the first derivative of y(x). Factor h(f).
-4*(f - 4)**3
Let v(x) be the second derivative of x**5/6 - x**4/6 - 2*x**3/9 - 66*x. Factor v(u).
2*u*(u - 1)*(5*u + 2)/3
Let v(z) be the second derivative of -3/8*z**4 + 15*z + 7/40*z**5 + 0 + z**2 - z**3. Factor v(t).
(t - 2)*(t + 1)*(7*t - 2)/2
Let x(q) be the second derivative of 1/6*q**4 - 5/2*q**3 - 34*q + 7/10*q**5 - 9/2*q**2 + 7/30*q**6 + 1/42*q**7 + 0. Determine a so that x(a) = 0.
-3, -1, 1
Let u be (-1)/((-26)/5560) - (-152)/988. Suppose -u = -5*t - 194. What is j in 0*j - 1/4*j**3 + 0 + 1/4*j**5 + 1/4*j**t - 1/4*j**2 = 0?
-1, 0, 1
Let d be (-740)/148 - (43/(-7) - -1). Suppose -4 = 2*y - 8. Determine j, given that -d*j + 2/7 - 1/7*j**y = 0.
-2, 1
Factor -2/3*n**2 + 0*n + 1/3*n**4 + 0 + 1/3*n**3.
n**2*(n - 1)*(n + 2)/3
Factor -278*q - 105*q**2 - 179*q + 97*q + 5*q**3.
5*q*(q - 24)*(q + 3)
Factor 64 - 78*m - 25 - 3*m**2 + 42.
-3*(m - 1)*(m + 27)
Let h(p) be the third derivative of p**8/16 - 29*p**7/35 + 17*p**6/4 - 53*p**5/5 + 111*p**4/8 - 9*p**3 + 71*p**2. Find o, given that h(o) = 0.
2/7, 1, 3
Let h = -1549/21 - -223/3. Let -2/7*x**2 - 6/7*x - h = 0. What is x?
-2, -1
Suppose -3*t + 5*a = -13, 5*t - 2 = -a + 57. Suppose t = -5*d + 96. Suppose -d*n - 12 - n**2 + 28 - 35*n - 13*n**2 = 0. What is n?
-4, 2/7
Let a(p) be the second derivative of p**7/1365 - p**5/78 + 4*p**3/39 - 4*p**2 + 6*p. Let q(i) be the first derivative of a(i). Suppose q(z) = 0. What is z?
-2, -1, 1, 2
Let r = 38 + -26. Suppose -r = -0*w - 3*w. Factor w*d**3 - 10*d + 2*d**3 - 3*d**5 + 7*d.
-3*d*(d - 1)**2*(d + 1)**2
Let a be 68 + -62 + (-63)/15. Factor 3/5*h**2 - a - 