ctor z(o).
3*o*(o - 2)*(o - 1)**3
Let q(l) be the third derivative of 27*l**6/40 - 17*l**5/10 - 47*l**4/8 + 7*l**3 + 240*l**2 - l + 3. What is m in q(m) = 0?
-1, 7/27, 2
Suppose 1044/5*f + 0 + 3/5*f**3 - 1047/5*f**2 = 0. What is f?
0, 1, 348
Let n(o) be the third derivative of -7*o**5/26 + 53*o**4/39 - 4*o**3/39 - 313*o**2 + 3*o. Factor n(r).
-2*(r - 2)*(105*r - 2)/13
Let n(v) = v**3 + 9*v**2 + 4*v - 70. Let o be n(-7). Suppose 11*h - 2*h - 36 = o. Find y, given that 5/3*y**3 + 5/3*y**5 + 0*y - 10/3*y**h + 0 + 0*y**2 = 0.
0, 1
Let t(k) = k**3 + 39*k**2 + 277*k + 214. Let w be t(-30). Let u(a) be the third derivative of 0*a**w - 11*a**2 + 1/540*a**5 + 0*a - 2/27*a**3 + 0. Factor u(m).
(m - 2)*(m + 2)/9
Let c(f) be the third derivative of -f**5/20 - 151*f**4/8 - 75*f**3 - 145*f**2 - 10*f. Factor c(b).
-3*(b + 1)*(b + 150)
Factor 2/7*m**3 - 618/7*m**2 + 47430/7*m + 48050/7.
2*(m - 155)**2*(m + 1)/7
Let b be (-311 + (5 - 5))/(-6 - -5). Let p = -311 + b. Suppose 0 + p*q - 4/7*q**2 + 2/7*q**5 - 6/7*q**3 + 0*q**4 = 0. What is q?
-1, 0, 2
Suppose -2*c - v = -7, -5*c - v + 1 = -4*v. Find s, given that -8*s + 24*s**2 - 11*s**2 - 8*s**4 + 12*s**3 - s**c + 0*s**4 = 0.
-1, 0, 1/2, 2
Let h(t) = -t**3 - 8*t**2 - 4*t - 20. Let s be h(-8). Suppose s = 230*d - 224*d. Solve 0 - 2/3*y - 1/2*y**d + 1/6*y**3 = 0 for y.
-1, 0, 4
Factor 489/4*p + 491/2 - 1/4*p**2.
-(p - 491)*(p + 2)/4
Solve -1/2*r**2 - 731 - 733/2*r = 0.
-731, -2
Let y(b) be the third derivative of -b**4/12 + 7*b**3/3 + 7*b**2. Let z be y(6). Factor 5 + 4*s**z + 1 - 22 + 12*s.
4*(s - 1)*(s + 4)
Let w(m) be the third derivative of 1/150*m**6 + 0*m**3 + 0*m**4 + 0*m + 37*m**2 + 0 - 4/75*m**5. Solve w(j) = 0.
0, 4
Let b be ((-690)/414)/(-2 - (-14)/6). Let u be 52/(-39) - (b + -5). Factor -80/9*r**2 + u*r**3 + 0 + 8/3*r - 2*r**4.
-2*r*(r - 3)*(3*r - 2)**2/9
Let a be (3 - -1) + (34/4 - -1). Let s = 16688 - 16686. What is m in -9/2*m**s + 1/2*m**3 + a*m - 27/2 = 0?
3
Suppose -3*x + 3*b + 127 = 97, -2*x = -5*b - 44. Determine s so that -6/5*s - s**x + 36/5 - 1/10*s**3 = 0.
-6, 2
Let h be 1/(-1) - 111/(-35) - (-836)/(-1463). Let q(w) be the first derivative of -4*w**3 + 4*w - w**4 + h*w**5 - 13 + 2*w**2. Factor q(l).
4*(l - 1)**2*(l + 1)*(2*l + 1)
Let x(b) be the first derivative of -3*b**4/2 + 23*b**3 - 63*b**2/2 + 248. Find l, given that x(l) = 0.
0, 1, 21/2
Let w be (11/((-33)/(-2)))/((-4)/(-42)). Let z be -6 + w + -1 - 12/(-3). Factor z - 6*s + 9/4*s**2.
(3*s - 4)**2/4
Let i = -2580 - -2580. Let z(a) be the first derivative of -3/4*a**4 + 0*a**3 + i*a + 3/5*a**5 + 0*a**2 - 17. Determine g so that z(g) = 0.
0, 1
Let p(m) be the first derivative of -m**8/336 + 25*m**7/84 + 17*m**6/24 - 49*m**3/3 - 163. Let f(r) be the third derivative of p(r). Factor f(i).
-5*i**2*(i - 51)*(i + 1)
Let o(z) be the third derivative of -z**5/15 - z**4 - 10*z**3/3 + 439*z**2. Factor o(g).
-4*(g + 1)*(g + 5)
Let z be (-6)/5*88512/(-16596). Solve 48/5 + 4*l**4 - 92/5*l**2 - z*l + 8/5*l**3 = 0 for l.
-2, -1, 3/5, 2
Let q = 467 + -465. Factor -7*z - 15*z - z**4 + z**q + 0*z + 24*z - 2*z**3.
-z*(z - 1)*(z + 1)*(z + 2)
Let s(l) be the first derivative of 152 - 1/3*l**2 - 2/45*l**3 + 4/5*l. Factor s(w).
-2*(w - 1)*(w + 6)/15
Let c(l) be the second derivative of -5*l**7/42 - 3*l**6/2 - 23*l**5/4 - 55*l**4/12 + 20*l**3 + 50*l**2 - 70*l - 5. Determine x, given that c(x) = 0.
-5, -2, -1, 1
Let u(m) be the second derivative of -m**5/70 + 200*m**4/21 + 401*m**3/21 - 5833*m. Determine b so that u(b) = 0.
-1, 0, 401
Let z(b) = -12*b**4 + 44*b**3 - 38*b**2 + 2*b + 10. Let p(i) = 22*i**4 - 88*i**3 + 77*i**2 - 3*i - 23. Let q(t) = 2*p(t) + 5*z(t). Factor q(c).
-4*(c - 1)**3*(4*c + 1)
Let c(d) be the first derivative of -1/14*d**4 + 4 - 90/7*d - 39/7*d**2 - 22/21*d**3. Solve c(f) = 0.
-5, -3
Let p(z) be the third derivative of 0*z + 0*z**3 + 1/140*z**6 - 2*z**2 - 1/210*z**5 + 4/735*z**7 + 0*z**4 + 45. Suppose p(f) = 0. Calculate f.
-1, 0, 1/4
Let z(j) be the first derivative of 220/3*j**3 - 52*j**2 + 16*j - 71/2*j**4 + 17 - 8*j**5 + 25/3*j**6. Suppose z(y) = 0. What is y?
-2, 2/5, 1
Let v(i) = -18*i**2 - 126*i - 626. Let a(n) = 10*n**2 + 64*n + 312. Let o(s) = 7*a(s) + 4*v(s). Factor o(t).
-2*(t + 8)*(t + 20)
Let a(i) = -16*i - 154. Let g be a(-10). Let v(y) be the third derivative of 0 + 3*y**2 + 0*y - 1/70*y**5 + 1/28*y**4 - 1/21*y**3 + 1/420*y**g. Factor v(k).
2*(k - 1)**3/7
Let g(p) be the first derivative of -2*p**6/15 + 324*p**5/25 - 79*p**4/5 - 108*p**3/5 + 32*p**2 + 1464. Find s such that g(s) = 0.
-1, 0, 1, 80
Let g(c) be the second derivative of c**9/25200 + 11*c**8/5600 + 21*c**4/4 + c**2 - 56*c. Let t(i) be the third derivative of g(i). Find l such that t(l) = 0.
-22, 0
Suppose -3960 = -2819*n + 4497. Factor 0*q**2 + 0*q + 0 - 8/3*q**4 - 4/3*q**5 + 0*q**n.
-4*q**4*(q + 2)/3
Let k(u) = -31*u**2 + 130*u + 759. Let r(y) = 285*y**2 - 1170*y - 6830. Let p(c) = 55*k(c) + 6*r(c). Let p(d) = 0. Calculate d.
-17, -9
Let i(r) = r**2 + 5*r - 176. Let b be i(-16). Let d(j) be the second derivative of 3/140*j**5 + 7*j + 0*j**2 + 0*j**3 + 5/28*j**4 + b. Factor d(m).
3*m**2*(m + 5)/7
Suppose 4*f = 4*t - 308, -5*t + 4*t - 5*f + 47 = 0. Let o be (t/90)/(4/10). Factor -4 - s - 2*s + o*s**4 - 6*s**2 + 9*s**3 - 7*s**3 - 7*s.
2*(s - 2)*(s + 1)**3
Let k(v) = 37*v + 222. Let x be k(-6). Suppose 0 = -2*t - x*i + 2*i + 2, -5*i = 5. Solve 1/3*s**3 - 1/3*s + t + 0*s**2 = 0.
-1, 0, 1
Let w be 5 - 2 - ((-8)/4 + -1). Let t(c) = 2*c**2 - 12*c + 27. Let n be t(w). Determine y so that -n*y + y + 5*y**2 - 14*y = 0.
0, 8
Let z = -298 - -300. Let q(p) = -p**2 - 32*p + 70. Let c(l) = -l**2 + l + 1. Let u(r) = z*c(r) + q(r). Find f such that u(f) = 0.
-12, 2
Let b = -2/54579 + 110608/39569775. Let c = 711/5075 + b. Let -16/7*a - 64/7 - c*a**2 = 0. Calculate a.
-8
Let b be 12/(-5 + (-78)/(-12)). Suppose -169*w**2 + 84*w**2 + 83*w**2 - b*w = 0. What is w?
-4, 0
Let a(u) be the second derivative of 5/4*u**4 - 77*u - 1/6*u**6 - 1/4*u**5 + 0 - 5*u**2 + 5/6*u**3. What is d in a(d) = 0?
-2, -1, 1
Suppose -197*s + 56*s + 52*s + 51*s = -418. Let -3/2*o**3 - s*o**2 + 0 - 7/2*o = 0. Calculate o.
-7, -1/3, 0
Let f(i) be the first derivative of 2*i**5/55 - 5*i**4 + 1942*i**3/11 + 560*i**2 + 6272*i/11 + 273. Let f(q) = 0. What is q?
-1, 56
Determine v, given that -675/2*v - 53/2*v**4 + 391*v**2 - 729/2 + 337*v**3 + 1/2*v**5 = 0.
-1, 1, 27
Find j, given that -13733*j**5 + 100*j**4 - 1340*j**2 - 268*j**3 + 1565*j - 560 + 13738*j**5 + 498*j**3 = 0.
-16, -7, 1
Let u(x) = x**3 - 3*x**2 + 1565*x - 6274. Let r be u(4). Factor 137842/17*z**3 + 984/17*z - 20172/17*z**r - 16/17.
2*(41*z - 2)**3/17
Let z = -142/267 + 1085/534. Let -z*m**3 + 360*m**2 + 768000 - 28800*m = 0. What is m?
80
Let x be 6 + (-835)/150 + (-263)/(-3945). Factor -53/2 + x*v**3 - 105/2*v - 51/2*v**2.
(v - 53)*(v + 1)**2/2
Factor 3/4*c**4 - 120*c**2 + 123*c + 111/4*c**3 + 0.
3*c*(c - 2)**2*(c + 41)/4
Factor -84/19 + 84/19*w**2 - 2/19*w + 2/19*w**3.
2*(w - 1)*(w + 1)*(w + 42)/19
Let y(t) = -t**2 - 22*t - 94. Let s be y(-16). Find x, given that -3*x**4 + 11*x**s + 3*x**3 + 626 + 620 - 6*x**3 - 6*x + x**5 - 1246 = 0.
-2, 0, 1, 3
Let y(l) be the third derivative of l**7/105 + 19*l**6/60 + 23*l**5/6 + 75*l**4/4 - 4*l**2 - 22*l. Factor y(r).
2*r*(r + 5)**2*(r + 9)
Let u(n) be the second derivative of -n + 22/3*n**3 + 1/12*n**4 + 242*n**2 + 13. Solve u(o) = 0.
-22
Let j(o) be the third derivative of o**8/2016 + 2*o**7/315 + o**6/30 + 17*o**5/180 + 23*o**4/144 + o**3/6 - 88*o**2 + 17. Suppose j(m) = 0. Calculate m.
-3, -2, -1
Let x(p) be the second derivative of 0*p**2 + 13/16*p**4 - 1/40*p**6 + 0 + 1/56*p**7 - 3/4*p**3 - 196*p - 21/80*p**5. Solve x(f) = 0 for f.
-3, 0, 1, 2
Let q be (14/(-11 - 3))/((-1)/3). Factor -18/7*b**2 + 6/7*b**4 + 48/7 - 60/7*b + 24/7*b**q.
6*(b - 1)**2*(b + 2)*(b + 4)/7
Suppose -67*d + 2185 - 1917 = 0. Factor 32/7*n**2 + 0 - 16/7*n**3 - 40/7*n**d - 12/7*n**5 + 0*n.
-4*n**2*(n + 2)**2*(3*n - 2)/7
Let j(w) be the third derivative of 0 + 7/30*w**6 - 7/6*w**4 - 2/105*w**7 - 54*w**2 - 1/3*w**5 + 0*w + 4*w**3. Factor j(r).
-4*(r - 6)*(r - 1)**2*(r + 1)
Let v(u) = u**3 - u**2 - u - 1. Let f(n) = -52*n**2 + 97*n - 36*n - 15*n**3 - 95*n**2 - 16*n**4 + 129*n**3. Let j(h) = f(h) + 6*v(h). Factor j(o).
-(o - 6)*(o