p + 10*f**3 - 4*f**3 - 17*f**3 + 40*f**2 + 16 - 44*f = 0?
1, 4/3
Let x(y) be the third derivative of -81*y**5/50 - 61*y**4/15 - y**3/15 - 57*y**2 + 5. Factor x(m).
-2*(m + 1)*(243*m + 1)/5
Let z be (6*(-20)/(-320))/((-3)/(-2)). Factor r - r**3 - z*r**4 + 3/4 - 1/2*r**2.
-(r - 1)*(r + 1)**2*(r + 3)/4
Let k(i) be the first derivative of -i**4/34 - 20*i**3/51 + 109*i**2/17 - 20*i + 797. Factor k(f).
-2*(f - 5)*(f - 2)*(f + 17)/17
Let t = 3401 + -68019/20. Let q(l) be the first derivative of 0*l**2 + 14 - 1/6*l**3 + 0*l - 1/16*l**4 + t*l**5. Factor q(g).
g**2*(g - 2)*(g + 1)/4
Let k(o) = o + 9. Let j = -41 - -35. Let b be k(j). Solve -27 - 6*l - 33*l**2 - 19*l + 28*l**2 - b = 0.
-3, -2
Let b(t) = -2*t**2 - 1064*t - 141497. Let y(p) = -p**2 - 532*p - 70750. Let u(n) = -2*b(n) + 5*y(n). Find q such that u(q) = 0.
-266
Let h(q) be the first derivative of -q**3/3 + 103*q**2 + 207*q + 3050. Determine f, given that h(f) = 0.
-1, 207
Let g = -49825 - -149479/3. Factor -4/3*b**4 - g*b + 4/3*b**2 + 4/3*b**3 + 0.
-4*b*(b - 1)**2*(b + 1)/3
Let b(p) be the second derivative of p**7/1680 - p**6/72 - p**5/240 + 5*p**4/24 + p**3/2 + 20*p - 3. Let r(d) be the second derivative of b(d). Factor r(a).
(a - 10)*(a - 1)*(a + 1)/2
Let g(p) be the second derivative of 4*p**2 + 2/15*p**6 + 0 + 1/5*p**5 - 32*p - 2/3*p**3 - p**4. Factor g(u).
4*(u - 1)**2*(u + 1)*(u + 2)
Factor -12*n + 20814*n**2 - 41639*n**2 + 408*n + 20822*n**2.
-3*n*(n - 132)
Suppose 5*z = 2*s + 108, -4*z + 64 = s + 3*s. Determine h, given that 20*h - 24*h - 160*h**2 - z*h**5 + 130*h**4 + 47*h - 30*h**3 - 15*h**5 + 30 + 22*h = 0.
-1, -2/7, 1, 3
Factor 2*b**3 - 8*b**2 + 97*b + 95*b + 52*b**2 - 40*b - 124*b**2.
2*b*(b - 38)*(b - 2)
Let u be (2/(-17))/(638/(-21692)). Let o(y) be the second derivative of 0 + 11*y + 0*y**2 + 1/36*y**u - 2/9*y**3. Factor o(h).
h*(h - 4)/3
Let x(l) be the second derivative of l**6/270 - 2*l**5/15 + 10*l**4/9 - 127*l**3/6 - 245*l. Let o(g) be the second derivative of x(g). Factor o(m).
4*(m - 10)*(m - 2)/3
Factor 231*l + 1744*l - 240*l**2 - 87*l**3 - 598*l + 1248*l + 6250 + 92*l**3.
5*(l - 25)**2*(l + 2)
Let i = 1874845/9 + -208316. Factor -38/9*a**3 + 52/9*a**2 - 11/3*a - i*a**5 + 4/3*a**4 + 8/9.
-(a - 8)*(a - 1)**4/9
Let p = 193/158 + -421/474. Factor 0*f**3 + 2/3*f**2 + 0*f - p*f**4 - 1/3.
-(f - 1)**2*(f + 1)**2/3
Let j(l) be the third derivative of 1/10*l**4 + 1/150*l**6 - 11*l + l**2 + 0 + 1/25*l**5 + 2/15*l**3. Find w such that j(w) = 0.
-1
Suppose -8*n = 6*n - 1666. Let c = -107 + n. Solve -12*m**2 + 19*m**4 - 2*m**2 - 9*m**4 + 24*m - 18*m**3 - 8 - 6*m**5 + c*m**4 = 0.
-1, 2/3, 1, 2
Let s(u) be the third derivative of 0 + 4*u**2 - 169/18*u**3 - 1/180*u**5 + 13/36*u**4 + 2*u. Let s(r) = 0. What is r?
13
Suppose -4*r + 19*t + 40 = 23*t, 0 = -r + 2*t + 1. Let y be 3 + (0 - 3) + (r - 7). Let -1/6*w**2 + 1/6*w + y = 0. Calculate w.
0, 1
Let c(a) be the third derivative of 27/4*a**4 + 9/5*a**5 + 1/4*a**6 - 5*a**2 + 1/70*a**7 + 0*a + 0 + 27/2*a**3. Factor c(r).
3*(r + 1)*(r + 3)**3
Let r(g) be the first derivative of -g**4/28 - g**3 + 45*g**2/14 + 38*g + 50. Let a(p) be the first derivative of r(p). Factor a(k).
-3*(k - 1)*(k + 15)/7
Let g(y) be the second derivative of y - 3/20*y**4 + 1/50*y**6 + 0 - 1/10*y**3 + 3/100*y**5 + 3/5*y**2. Factor g(x).
3*(x - 1)**2*(x + 1)*(x + 2)/5
Let b be -5*3612/(-3600) - 5. Let g(y) be the third derivative of 18*y**2 + 0 - 1/300*y**5 + 1/10*y**3 + 0*y - b*y**4. Factor g(q).
-(q - 1)*(q + 3)/5
Let a be (-7)/(-28)*(696/(-64) + 11). Let m(n) be the first derivative of 12 - 5/24*n**3 - 1/2*n + 1/2*n**2 + a*n**4. Factor m(x).
(x - 2)**2*(x - 1)/8
Determine a, given that -15*a**3 + 252 - 241*a**2 + 690*a**2 - 7*a**3 + 7*a**3 - 53*a**2 + 663*a = 0.
-1, -3/5, 28
Let y(i) be the first derivative of 2*i**5/45 + i**4 - 14*i**3/27 - 40*i**2/3 + 24*i - 996. Let y(v) = 0. What is v?
-18, -3, 1, 2
Let w be (-60)/(-420) + 42386/68250. Let z = 2/375 + w. Factor 4/13 - z*j - 14/13*j**2.
-2*(j + 1)*(7*j - 2)/13
Let z(o) be the first derivative of 11*o**6/2 + 2337*o**5/5 + 471*o**4 - 140*o**3 - 3036. Suppose z(v) = 0. Calculate v.
-70, -1, 0, 2/11
Let k = 102846/7 + -14656. Let n = k - 234/7. Solve -16/7*o + n - 4/7*o**2 = 0 for o.
-5, 1
Let m(t) be the first derivative of t**4/12 - 41*t**3/9 - 22*t**2 - 2425. Factor m(c).
c*(c - 44)*(c + 3)/3
Let n(w) = w**5 + w**4 + w**3 - w**2 - 1. Let l(k) = 1 - 11*k**3 - 237*k**4 + k**2 + 129*k**4 + 116*k**4. Let j(c) = -l(c) - n(c). What is v in j(v) = 0?
-10, 0, 1
Let t be (2 - 2)/(-3 - (-8 - -4)). Factor -396*g - 7*g**3 + 3*g**3 + 324 + t*g**3 + 88*g**2 - 12*g**2.
-4*(g - 9)**2*(g - 1)
Determine l so that 88*l + 38895*l**4 - 76*l + 79*l - 3*l**2 - 38892*l**4 + 53*l - 144*l**3 = 0.
-1, 0, 1, 48
Let g(j) = -j**3 + 6*j**2 + 6*j + 10. Let q be g(7). Let a(n) = n - 5. Let b be a(10). Suppose 9 - 3*f**q - 15*f + 6*f**3 - f**2 + b*f**2 - f**2 = 0. What is f?
-3, 1
Let u(j) be the second derivative of -3*j**5/20 - 83*j**4/4 + j**3/2 + 249*j**2/2 + 6109*j. Let u(q) = 0. What is q?
-83, -1, 1
Let f(j) be the first derivative of 5/3*j**3 + 2 + 85/2*j**2 + 260*j. Factor f(p).
5*(p + 4)*(p + 13)
Factor 95/2*r - 67/2*r**2 + 1/2*r**3 + 1/2*r**4 + 225.
(r - 5)**2*(r + 2)*(r + 9)/2
Let p(u) be the third derivative of -1/260*u**6 - 1/78*u**4 - 7/390*u**5 - 4*u + 8*u**2 + 0*u**3 + 0. Factor p(r).
-2*r*(r + 2)*(3*r + 1)/13
Let c = 114 - 110. Suppose 4*y = -c*v + 44, -y + 3*v + 0 + 3 = 0. Let -15*j**4 - 5*j**5 - 1197*j + 1207*j + 6*j**2 + y*j**2 - j**3 - 4*j**3 = 0. What is j?
-2, -1, 0, 1
Let p(f) be the second derivative of f**5/10 - 19*f**4/6 + 35*f**3/3 - 17*f**2 - 406*f. Let p(o) = 0. What is o?
1, 17
Find c such that 229*c**2 - 2*c**3 + 3*c**3 - 467*c**2 + 6*c + 243*c**2 = 0.
-3, -2, 0
Let d(i) be the second derivative of -i**5/140 + 15*i**4/28 - 125*i**3/14 - 3125*i**2/14 - 51*i - 37. Find n such that d(n) = 0.
-5, 25
Suppose -4*x = 5*y - 18, 0 = y + x + 3*x - 10. Factor -17*t**y - 10*t - 8*t - 44 + 19*t**2.
2*(t - 11)*(t + 2)
Let s(m) be the second derivative of m**7/126 - 2*m**6/9 + 7*m**5/6 - 25*m**4/9 + 65*m**3/18 - 8*m**2/3 - m + 803. Solve s(r) = 0.
1, 16
Suppose 0 = -25*g - 1536 + 4361. Suppose -114*t = -g*t. Factor -9/4*y**3 + 3*y + 0 + 3/4*y**4 + t*y**2.
3*y*(y - 2)**2*(y + 1)/4
Let v(t) be the first derivative of 0*t**2 + 3/4*t**4 + 4*t**3 + 0*t + 81. Factor v(y).
3*y**2*(y + 4)
Let w(d) be the first derivative of -9*d**2/2 - 43*d + 11. Let p be w(-5). Solve -z + 1/4*z**p + 1 = 0 for z.
2
Let j(w) = -w + 9. Let t be j(5). Let m(n) be the second derivative of 0*n**3 + 0 + 1/6*n**6 - 5/6*n**t + 6*n + 0*n**5 + 5/2*n**2. Solve m(x) = 0 for x.
-1, 1
Let o(p) be the second derivative of -225*p**4 - 729/2*p**2 + 2*p - 405*p**3 + 0 - 50*p**5. Factor o(u).
-(10*u + 9)**3
Solve 16/5*i - 1/5*i**3 + 0 - 6/5*i**2 = 0 for i.
-8, 0, 2
Suppose -c = -4*c + o + 370, 3*c = 5*o + 350. Suppose 121*n - c*n = -2072. Factor 48*d**2 + 109*d - 238*d + 379*d + n*d + d**3 + 4096.
(d + 16)**3
Let l be (18/(-39))/(9870/(-8554)). What is n in -l*n**3 + 74/5*n + 38/5 + 34/5*n**2 = 0?
-1, 19
Let k be (-14208)/(-144) + (-1)/(-3). Factor k + 5*i**2 - 91*i + 2321 - 129*i.
5*(i - 22)**2
Let g(v) be the third derivative of 5*v**8/112 + 65*v**7/21 + 739*v**6/12 + 102*v**5 - 9135*v**4/8 + 2205*v**3 + 41*v**2 + 8*v - 3. Let g(w) = 0. Calculate w.
-21, -3, 2/3, 1
Let w(u) = -u**2 - 12*u - 22. Let c be w(-8). Factor 16*k**2 - 7*k**4 + 212*k**5 - 18*k**3 - 213*k**5 + c*k**3.
-k**2*(k - 1)*(k + 4)**2
Suppose -5*b = -11*l + 9*l - 4, -3*l = -2*b + 6. Suppose -3*y = 5*y - b*y. Solve -1/5*d**5 - d**3 + 0 + y*d + 2/5*d**2 + 4/5*d**4 = 0 for d.
0, 1, 2
Let a(g) be the second derivative of -g**7/126 - g**6/90 + 13*g**5/60 + 13*g**4/36 - 2*g**3 - 6*g**2 - 4225*g. Let a(k) = 0. Calculate k.
-3, -2, -1, 2, 3
Suppose -69*n = -72*n + 24. Determine m so that 24*m**2 - 5*m**3 + 30*m**3 - n*m**3 + 13*m**3 - 8*m + 8*m**4 = 0.
-2, 0, 1/4
Let r(t) be the second derivative of t**6/15 + 116*t**5/5 + 13685*t**4/6 + 26450*t**3/3 + 180*t - 2. Solve r(l) = 0.
-115, -2, 0
Let p(u) be the third derivative of 1/140*u**7 + 0*u + 5/16*u**4 - 51*u**2 - 1/2*u**3 - 1/320*u**6 + 0 - 1/896*u**8 - 7/80*u**5. Solve p(d) = 0.
-2, 1, 2
Let a(f) = -3*f**4 - 5*f**3 - f**2 + f - 1. Let h(p) = 10*p**4 - 37