= h*w(r) - x(r). Factor a(f).
3*(f + 3)*(4*f - 1)
Let n be (-5)/25*(-2)/24. Let j(i) be the third derivative of 0*i**3 + 3*i**2 + 0*i + n*i**5 - 1/24*i**4 + 0. Find c such that j(c) = 0.
0, 1
Let x be ((-4)/(-10))/((-246)/(-205)) - 22/(-6). Factor 0 - x*j**4 - 8/3*j + 16/3*j**3 + 4/3*j**2.
-4*j*(j - 1)**2*(3*j + 2)/3
Suppose -4*j - 5*i + 70 = 0, -4*j - 4*i = -3*i - 62. Suppose 0 = -4*m + m + j. Factor 7/3*g**2 + 3 - m*g - 1/3*g**3.
-(g - 3)**2*(g - 1)/3
Let m(f) be the first derivative of -f**5 + 15*f**4/2 - 15*f**3 + 10*f**2 + 43. Factor m(p).
-5*p*(p - 4)*(p - 1)**2
What is x in 4/7*x - 2/7 - 2/7*x**2 = 0?
1
Let s(b) be the third derivative of b**7/630 + 5*b**6/72 - 41*b**5/90 + 7*b**4/9 - 240*b**2. Let s(p) = 0. Calculate p.
-28, 0, 1, 2
Let l(s) be the third derivative of -s**7/735 + s**6/84 - s**5/35 + 56*s**2. Factor l(o).
-2*o**2*(o - 3)*(o - 2)/7
Let t be (0 - 2/(-394))/(70/103453). Let d = t - 2/985. Suppose -d*w**3 - 3 + 9*w**2 + 9/2*w - 9*w**4 = 0. Calculate w.
-1, 1/2, 2/3
Let c(w) = 4*w + 8. Let y(t) = -t**2 + 3*t + 9. Let d(u) = -2*u - 4. Let r be d(0). Let m(i) = r*y(i) + 5*c(i). Factor m(v).
4*(v + 1)**2
Factor -2/5*d**2 - 348/5*d - 15138/5.
-2*(d + 87)**2/5
Let d(l) = -3*l - 24. Let k be d(-10). Let p(y) be the second derivative of 1/48*y**4 - 9*y + 1/120*y**k - 1/40*y**5 + 0 + 0*y**3 + 0*y**2. Factor p(n).
n**2*(n - 1)**2/4
Factor -93*g - 12*g**2 - g**2 - 2*g**2 + 12*g**2 + 96.
-3*(g - 1)*(g + 32)
Suppose 0 = -14*d + 43 + 97. What is x in -47*x**2 - 48 - 112*x + 17*x**2 - 56*x**2 + d*x**2 - 16*x**3 = 0?
-2, -3/4
Let v(c) be the third derivative of 2*c**5/5 + 101*c**4/8 - 39*c**3/2 + 2*c**2 + 24. Let v(f) = 0. What is f?
-13, 3/8
Let p(y) be the third derivative of -y**8/10080 - 5*y**7/4536 + y**6/540 - 7*y**5/30 - 20*y**2. Let w(k) be the third derivative of p(k). Factor w(x).
-2*(x + 3)*(9*x - 2)/9
Suppose -1161 = -5*k + 794. Let 4*f**4 - 8*f**3 - k*f**5 + 399*f**5 + 2*f**2 - 3*f**2 - 3*f**2 = 0. Calculate f.
-1, -1/2, 0, 1
Let s(d) be the second derivative of -d**7/6300 + d**6/1800 - 13*d**4/12 - 15*d. Let i(k) be the third derivative of s(k). Factor i(n).
-2*n*(n - 1)/5
Let f(i) be the first derivative of -4*i**3/3 - 34*i**2 + 440*i + 59. Factor f(p).
-4*(p - 5)*(p + 22)
Let b(q) be the third derivative of -q**8/560 - q**7/140 - q**6/120 - 3*q**3 + 7*q**2. Let j(t) be the first derivative of b(t). Factor j(k).
-3*k**2*(k + 1)**2
Let i(y) be the second derivative of -3/20*y**5 + 0*y**2 + 7/8*y**4 + 0 - 12*y - 3/4*y**3. Let i(c) = 0. What is c?
0, 1/2, 3
Let i(g) be the third derivative of g**5/240 - 9*g**4/32 - 29*g**3/12 + 341*g**2. Factor i(q).
(q - 29)*(q + 2)/4
Let a(y) be the first derivative of -5*y + 5/6*y**6 + 5/2*y**2 + 17 - 5/2*y**4 - y**5 + 10/3*y**3. Factor a(v).
5*(v - 1)**3*(v + 1)**2
Let l be (-18)/(2 - 0 - 79/42). Let i = l + 152. Factor 2/5*u**2 + i*u + 2/5.
2*(u + 1)**2/5
Let b = 1519 + -6073/4. Find y such that -1/4 - 3/4*y**2 + b*y + 1/4*y**3 = 0.
1
Let z(c) be the first derivative of c**3/5 + 9*c**2/10 - 12*c/5 - 31. Factor z(m).
3*(m - 1)*(m + 4)/5
Let b(d) be the third derivative of -3*d**6/35 + d**5/105 + 60*d**2. Find u, given that b(u) = 0.
0, 1/18
Let q(b) be the first derivative of b**8/336 - b**6/40 - b**5/30 + 13*b**2 + 20. Let y(j) be the second derivative of q(j). Factor y(z).
z**2*(z - 2)*(z + 1)**2
Let p be (-1 - -3)*(-35)/(-14). Suppose 7*j = -p*f + 2*j - 15, -f + j + 7 = 0. Factor -3*z**3 + z + 3*z + 10*z**3 - 16*z**f.
z*(z - 2)*(7*z - 2)
Let t(h) = 25*h**2 + 525*h - 532. Let w(s) = 435*s**2 + 8925*s - 9045. Let j(r) = 35*t(r) - 2*w(r). Solve j(q) = 0.
-106, 1
Let g be 22/(-5)*(-85)/34. Let k be (g/(-33))/(2/(-18)). Factor 14*a - k*a**2 - 13*a + 2*a**2.
-a*(a - 1)
Let p(o) be the third derivative of -o**8/840 - 13*o**7/1260 - o**6/90 + 4*o**5/15 + 16*o**2. Let w(s) be the third derivative of p(s). What is q in w(q) = 0?
-2, -1/6
Suppose -108*r**2 - 208 + 4/3*r**3 + 944/3*r = 0. What is r?
1, 2, 78
Suppose 4*m - 1 = 11. Solve 5*k**3 - 3 - 3*k + 3*k**2 - 2*k**3 - 3*k**m + 3*k**3 = 0.
-1, 1
Find l such that 1/9*l**2 + 0 + 2/9*l**3 - 1/9*l**4 - 2/9*l = 0.
-1, 0, 1, 2
Let k = 6 + -4. Let g = 11 - 7. What is p in 1 - 2*p + 0*p + p**k + g*p = 0?
-1
Let y(t) be the second derivative of -6/7*t**3 + 0 - 12/7*t**2 - 3/140*t**5 - 3/14*t**4 - 6*t. Factor y(w).
-3*(w + 2)**3/7
Suppose 0 = -5*t + 20*r - 23*r + 46, -2*t - 5*r = -45. What is w in -21/2*w + 12*w**4 + 6*w**3 - 9*w**2 - 3 + 9/2*w**t = 0?
-1, -2/3, 1
Let f(s) = -s**3 - 3*s**2 + 4*s + 2. Let o(k) = -k**3 - 7*k**2 - 6*k - 4. Let c be o(-6). Let t be f(c). Factor 5*n + n**t - 3*n - 2 - n.
(n - 1)*(n + 2)
Factor 8/7*z + 4/7*z**2 - 192/7.
4*(z - 6)*(z + 8)/7
Let x(y) be the second derivative of -y**7/21 - y**6/12 - y**5/40 + 4*y - 3. Let x(g) = 0. Calculate g.
-1, -1/4, 0
Factor 32*u**2 - 4218*u + 24*u**2 + 4198*u.
4*u*(14*u - 5)
Let d(y) be the first derivative of -y**3/21 - 30*y**2/7 - 59*y/7 - 48. Factor d(a).
-(a + 1)*(a + 59)/7
Let b(g) be the third derivative of -g**7/1995 + 8*g**5/285 - 203*g**2. Let b(n) = 0. What is n?
-4, 0, 4
Let a = -12 + 38. Let h = -22 + a. Solve d + 3*d**2 + 14*d**3 + d**h - 19*d**3 + 8*d**3 = 0 for d.
-1, 0
Suppose 2*v + 4*v - 24 = 0. Factor 5*d**3 - v*d**3 + 2*d**2 - 4*d**3 + d.
-d*(d - 1)*(3*d + 1)
Suppose 5*v = 12 - 7. Let t(f) = -2 + f**3 + 2 - f**2 + 1. Let w(p) = 20*p**3 - 10*p**2 - 10*p + 25. Let q(o) = v*w(o) - 25*t(o). Factor q(g).
-5*g*(g - 2)*(g - 1)
Let s(h) = -14*h + 256. Let n be s(18). Let q(t) be the second derivative of -11*t + 0 - 1/20*t**n + 4/5*t**3 - 24/5*t**2. Find d such that q(d) = 0.
4
Suppose 6*a = -45 + 57. Factor 2/3*p - 4/3*p**4 + 4/3*p**a + 0*p**3 + 0 - 2/3*p**5.
-2*p*(p - 1)*(p + 1)**3/3
Let k be -4 - (1 - 6)*1. Let x be (-2 - -6)*k/2. Let a(i) = i**3 + i**2 - i. Let f(m) = 7*m**3 + 2*m**2 - 7*m. Let u(w) = x*a(w) - f(w). Factor u(z).
-5*z*(z - 1)*(z + 1)
Factor -450 + 210*n - 22*n**2 + 2/3*n**3.
2*(n - 15)**2*(n - 3)/3
Let h(w) = 2*w**2 - 4*w + 2. Let s(p) = p**2 + p. Let z(u) = -h(u) - 3*s(u). Let r(n) = -3*n**2 - 2*n**2 - 2 + n**2. Let q(l) = 4*r(l) - 3*z(l). Factor q(c).
-(c + 1)*(c + 2)
Let b = 183 - 365/2. Factor -x - b - 1/2*x**2.
-(x + 1)**2/2
Suppose -3*z = 2*z + 70. Let f be -2*z/51 - (-28)/238. Factor f*x**2 + 2/9*x**4 - 2/3*x**3 + 0 - 2/9*x.
2*x*(x - 1)**3/9
Let d = -6423 + 6423. Factor 3/5*w**5 + 0*w**2 + 3/5*w**3 + d*w - 6/5*w**4 + 0.
3*w**3*(w - 1)**2/5
Let m(s) be the second derivative of -s**7/35 - 7*s**6/75 + 17*s**5/150 - s**4/30 - s - 73. Find n, given that m(n) = 0.
-3, 0, 1/3
Factor 51/2 - 27*n + 3/2*n**2.
3*(n - 17)*(n - 1)/2
Let t(a) be the third derivative of a**8/84 - 2*a**7/35 - a**6/6 + a**5/5 + 2*a**4/3 - 4*a**2 + 12*a. Factor t(n).
4*n*(n - 4)*(n - 1)*(n + 1)**2
Let b(g) be the third derivative of g**7/21420 + g**6/6120 - 11*g**4/24 - 21*g**2. Let l(f) be the second derivative of b(f). Factor l(u).
2*u*(u + 1)/17
Factor 17787/5*u + 3/5*u**3 + 0 - 462/5*u**2.
3*u*(u - 77)**2/5
Let x(b) be the third derivative of 0 - 1/15*b**7 - 1/56*b**8 - 2*b**2 + 17/180*b**6 + 0*b**3 + 0*b - 1/30*b**5 + 0*b**4. Factor x(r).
-2*r**2*(r + 3)*(3*r - 1)**2/3
Let k(p) be the second derivative of -p**7/126 - 4*p**6/45 + p**5/6 + 2*p**4/9 - p**3/2 - 2*p + 174. Solve k(r) = 0 for r.
-9, -1, 0, 1
Let f(c) be the first derivative of -4*c**3/3 + 28*c**2 - 52*c + 30. Determine d, given that f(d) = 0.
1, 13
Let m(z) be the second derivative of z**4/20 - 29*z**3/10 - 9*z**2 + 2*z + 342. Factor m(q).
3*(q - 30)*(q + 1)/5
Let d be 112/(-30) + (70/(-5) - -18). Factor d - 2/15*u - 4/15*u**2 + 2/15*u**3.
2*(u - 2)*(u - 1)*(u + 1)/15
Let a(q) be the first derivative of 1/24*q**4 + 7 + 0*q - 1/40*q**5 - 5*q**2 + 1/12*q**3. Let r(k) be the second derivative of a(k). Factor r(h).
-(h - 1)*(3*h + 1)/2
Let d(x) = 26*x - 204. Let l be d(8). Let s(i) be the second derivative of -2/7*i**2 + 1/70*i**5 + 0*i**l - 1/7*i**3 - 10*i + 0. Suppose s(n) = 0. Calculate n.
-1, 2
Suppose 8*b - 32*b + 48 = 0. Let j(v) be the first derivative of 0*v - 3/28*v**4 - 3/14*v**b + 7 - 2/7*v**3. What is n in j(n) = 0?
-1, 0
Let r(p) be the first derivative of 1/8*p**2 + 1/24*p**6 + 18 + 0*p**5 + 0*p + 0*p**3 - 1/8*p**4. Factor r(w).
w*(w - 1)**2*(w + 1)**2/4
Let f be (0*(-3)/(-9))/(1 - 4). Factor 0*x**4 + 0*x**2 +