+ 1)*(p + 3)/3
Let u(y) be the third derivative of 0*y + 0*y**3 + 0*y**5 - 1/8*y**6 - 59*y**2 + 0 + 0*y**4 - 1/210*y**7. Factor u(n).
-n**3*(n + 15)
Solve -151 + 287*u**2 + 124 - 284*u**2 = 0 for u.
-3, 3
Suppose -3*z - 31*p + 474 = -34*p, -3*z = -2*p - 478. Let y = 166 - z. Determine o, given that -4/7*o + 0 + 8/7*o**y + 4/7*o**5 + 0*o**3 - 8/7*o**2 = 0.
-1, 0, 1
Let s be ((-1)/42)/(1484/(-454104)). Solve -40/7*d + 12/7 + s*d**2 - 1/7*d**5 - 31/7*d**3 + 9/7*d**4 = 0.
1, 2, 3
Let n be 13/(39/3) - (0 + (2 - 1)). Let m(s) be the third derivative of 1/6*s**4 + 1/30*s**5 - 2*s**2 + n*s**3 + 0*s - 1/60*s**6 + 0. Factor m(x).
-2*x*(x - 2)*(x + 1)
Let u(w) = -7*w**2 - 44*w - 12. Let j be u(-6). Let r(t) be the third derivative of -1/210*t**5 + j*t**3 + 0*t + 0 + 0*t**4 + 9*t**2. Factor r(k).
-2*k**2/7
Let t be (11290/128706)/((-15)/(-38)). Find d, given that 200/9*d - 5000/9 - t*d**2 = 0.
50
Let i(y) be the first derivative of y**4 - 8/15*y**5 + 44/9*y**3 + 0*y - 4*y**2 - 93. Suppose i(g) = 0. Calculate g.
-2, 0, 1/2, 3
Let m be 50636/(-37977)*((-20)/14 + (-2 - -3)). Suppose 4/7*d**3 + 0 - 8/7*d**2 + m*d = 0. What is d?
0, 1
Suppose -371 = -3*r - 311. Factor 270*o**4 - r*o**2 - 9*o**2 - 273*o**4 + 24*o**3 + 8*o**2.
-3*o**2*(o - 7)*(o - 1)
Let p(g) be the third derivative of 0 + 0*g**3 - 6*g**2 - 2*g + 1/420*g**7 + 1/120*g**6 - 1/24*g**4 - 1/120*g**5. Let p(t) = 0. Calculate t.
-2, -1, 0, 1
Let u(s) = -18147*s - 290350. Let y be u(-16). Factor 1/4*a**y - a - 3.
(a - 6)*(a + 2)/4
Let 3/5*q**3 - 798/5 + 1599/5*q - 804/5*q**2 = 0. What is q?
1, 266
Let d(c) be the second derivative of 12*c + 50*c**3 + 1/5*c**5 + 250*c**2 + 5*c**4 + 0. Factor d(s).
4*(s + 5)**3
Let y(m) be the third derivative of -5/2*m**3 - 1/48*m**6 - 55/48*m**4 + 8*m - 1/4*m**5 + 0 - 3*m**2. Factor y(u).
-5*(u + 1)*(u + 2)*(u + 3)/2
Let c = 394966/5 + -78993. Factor 128/5 - 14/5*s**2 + 32/5*s + c*s**3.
(s - 8)**2*(s + 2)/5
Let t(k) be the second derivative of k**5/15 + k**4/6 - 99*k**2/2 - 3*k - 2. Let g(d) be the first derivative of t(d). Factor g(l).
4*l*(l + 1)
Let v(y) be the second derivative of y**5/10 + 14*y**4/3 - 4*y**3/3 - 112*y**2 - 295*y. Factor v(b).
2*(b - 2)*(b + 2)*(b + 28)
Let f = 1240 + -1194. Suppose 16*i + 60 = f*i. Let -2/17*t**i - 18/17 + 20/17*t = 0. Calculate t.
1, 9
Let f(k) be the first derivative of -32/3*k**2 - 49 + 10/9*k**3 + 1/6*k**4 + 24*k. Determine x so that f(x) = 0.
-9, 2
Suppose -22 = 3*t + 38. Let k(n) = 14*n**2 + 16. Let w(s) = 749*s + 2 - 750*s - s**2 - 3. Let r(z) = t*w(z) - 2*k(z). Factor r(f).
-4*(f - 1)*(2*f - 3)
Let f = 24429 - 73132/3. Determine n so that 25/3*n**5 + 134/3*n**3 + f*n**4 - 110/3*n**2 - 53*n - 15 = 0.
-5, -1, -3/5, 1
Let k(d) be the third derivative of d**8/1008 + d**7/35 + 23*d**6/180 + d**5/15 - 47*d**4/72 - 5*d**3/3 + 11*d**2 + 2. Determine y so that k(y) = 0.
-15, -2, -1, 1
Let f(h) be the first derivative of -h**3/2 + 153*h**2/4 - 75*h - 1024. Factor f(r).
-3*(r - 50)*(r - 1)/2
Let f be (-5)/((-20)/(-16))*2. Let h(u) = 2*u + 19. Let z be h(f). Determine m, given that -m**4 - 16 - 24*m**2 + 15*m**3 - 9*m**3 + 32*m + 2*m**z = 0.
2
Let q be 444/(-1998) - (12/(-78) + (-644)/2574). Factor 4/11*i - q*i**2 - 2/11*i**3 + 0.
-2*i*(i - 1)*(i + 2)/11
Find i, given that -185*i**2 + 277*i + 4403*i**3 - 4399*i**3 - 69 - 95*i**2 = 0.
1/2, 69
Let t(j) = -8*j - 237*j**2 + 222*j**2 + 12 - 27. Let m(q) = 4*q + 15*q**2 - 17*q**2 + 10*q**2 + 8. Let s(b) = -11*m(b) - 6*t(b). Factor s(l).
2*(l + 1)**2
Factor 66*r**2 - 426*r + 554*r + 2312 + 45*r**2 + 2*r**3 - 35*r**2 + 722*r.
2*(r + 4)*(r + 17)**2
Let v be ((-10208)/(-714))/8 + 10/105. Factor -24/17 - v*a + 2/17*a**3 - 6/17*a**2.
2*(a - 6)*(a + 1)*(a + 2)/17
Suppose -51 + 27 = -4*y. Determine f, given that 185*f - 8*f**3 - 295*f**2 + 29*f**3 + 95 - y*f**3 = 0.
-1/3, 1, 19
Suppose -1411 + 1792 + 9578*y**2 + 14638*y + 3112*y**2 + 3167*y - 25*y**3 + 4709 = 0. Calculate y.
-1, -2/5, 509
Let y be 25/325 - 41/1209. Let x = y + 700/1023. Solve 24/11*a - x - 10/11*a**2 = 0 for a.
2/5, 2
Let d(w) = 6*w**2 + 26*w - 192. Let h(q) = -5*q**2 - 23*q + 193. Let o(k) = -3*d(k) - 4*h(k). Factor o(m).
2*(m - 7)*(m + 14)
Let m(p) be the first derivative of -2819876/11*p**2 + 124 - 125484482/11*p - 178/11*p**4 - 2/55*p**5 - 31684/11*p**3. Factor m(d).
-2*(d + 89)**4/11
Let s(q) = -4*q**4 + 71*q**3 + 363*q**2 + 279*q + 27. Let f(b) = -2*b**4 + 36*b**3 + 182*b**2 + 140*b + 12. Let g(p) = -9*f(p) + 4*s(p). Solve g(k) = 0.
-3, -1, 0, 24
Let m(q) = -27 + 83 + 34 - 22*q. Let f be m(4). Factor 12/11*c + 1/11*c**3 - 8/11 - 6/11*c**f.
(c - 2)**3/11
Let b(h) = 32*h - h**3 + 11*h**2 - 48*h**2 - 29 + 22*h**2. Let l be b(-17). Solve -3/2*q**3 + 0 + 2*q**2 + 2*q - 1/2*q**l - 2*q**4 = 0 for q.
-2, -1, 0, 1
Let i(q) = -3*q + 24. Let b be i(10). Let p be b/21 - 1*48/(-21). Factor -24 - 4*y**3 + 64*y**2 - 8*y**3 + 6*y**p - 14*y**2 - 52*y.
-4*(y - 3)*(y - 2)*(3*y + 1)
Suppose 4*b - 26 = 2*f, 5*b - 5*f = 2*b + 9. Suppose r + 4*k - b = -r, 4*r = k + 25. Factor -r*q + 6 - 3/2*q**2 + 3/2*q**3.
3*(q - 2)*(q - 1)*(q + 2)/2
Let w(g) be the second derivative of g**6/105 - g**5/5 + 12*g**4/7 - 54*g**3/7 + 135*g**2/7 + 1087*g + 2. Suppose w(r) = 0. What is r?
3, 5
Let n(c) be the second derivative of -32 - 2*c**3 - 20*c**2 + 1/3*c**4 - 2*c. Factor n(y).
4*(y - 5)*(y + 2)
Factor -49/10*d**2 - 1/10*d**3 - 14*d - 46/5.
-(d + 1)*(d + 2)*(d + 46)/10
Let w(k) be the third derivative of -k**8/840 + k**7/105 - k**6/45 - k**3/2 - 48*k**2. Let a(o) be the first derivative of w(o). Factor a(y).
-2*y**2*(y - 2)**2
Let j = -17892 + 17894. Suppose -3*q**3 - 4*q**j + 9/2 - 1/2*q**4 + 3*q = 0. What is q?
-3, -1, 1
Let a(d) be the third derivative of d**6/180 + d**5/135 - 3*d**4/4 - 80*d**3/27 + 43*d**2 + 108. Solve a(h) = 0 for h.
-5, -1, 16/3
Let j(g) = -g**3 + 2*g**2 - g. Let y(d) = -8*d**3 + 2804*d**2 - 490000*d + 487204. Let b(h) = 4*j(h) - y(h). Suppose b(q) = 0. Calculate q.
1, 349
Let g(s) be the first derivative of s**3/6 + 211*s**2/4 - 7407. Determine t, given that g(t) = 0.
-211, 0
Let d be (-48)/(-6) + -6 - (0 + (8 - 10)). Let v(f) be the first derivative of -1/7*f**d - 2/35*f**5 - 2/21*f**3 + 0*f + 0*f**2 - 33. Factor v(j).
-2*j**2*(j + 1)**2/7
Let y(j) be the second derivative of 5*j**7/189 - 4*j**6/45 - 11*j**5/90 + 23*j**4/27 - 4*j**3/3 + 8*j**2/9 - 3*j + 51. Suppose y(g) = 0. What is g?
-2, 2/5, 1, 2
Let n = -296947/3 + 98983. Suppose -n*f**2 - 4/3 - 7/3*f + 1/3*f**3 = 0. Calculate f.
-1, 4
Let b(a) be the third derivative of a**8/112 + a**7/7 + 9*a**6/10 + 27*a**5/10 + 27*a**4/8 + 3743*a**2. Determine n, given that b(n) = 0.
-3, -1, 0
Let w be (-3)/6 + (-54986)/(-3420). Let h = 142/9 - w. Let -1/5*v**3 + 0*v + 0 - h*v**2 = 0. What is v?
-1, 0
Suppose 17*d + 18*d - 2030 = 0. Factor p**4 - d*p**3 + 37*p**3 - 4*p + 15*p**3 + 9*p**2.
p*(p - 4)*(p - 1)**2
Factor -3 + 42*t**2 - 127*t**2 + 39*t**2 - 1 + 44*t**2 - 6*t.
-2*(t + 1)*(t + 2)
Let k(n) be the first derivative of -2*n**5/25 + n**4/5 + 14*n**3/15 - 8*n**2/5 - 24*n/5 - 1309. Suppose k(y) = 0. Calculate y.
-2, -1, 2, 3
Let p(f) be the second derivative of 113*f + 0 + 19/3*f**3 - 42*f**2 + 1/6*f**4. What is k in p(k) = 0?
-21, 2
Let g(l) = l**3 + 3*l**2 - 16*l - 40. Let o be g(-4). Suppose -4*w + 16 = -4*d, -2*d = w + 3*d + o. Factor 4/3*s - 4/3*s**3 + 0 + 2/3*s**w - 2/3*s**4.
-2*s*(s - 1)*(s + 1)*(s + 2)/3
Let n be 3 - (-12*2 + 6 + -3). Suppose 20*p = n*p - 72. Factor -5*q**4 + 1 - 17*q**2 + p*q**2 - 8*q + 7*q**3 + q**5 + 3.
(q - 2)**2*(q - 1)**2*(q + 1)
Let -192 + 48*f**2 - 16/7*f + 4/7*f**3 = 0. Calculate f.
-84, -2, 2
Let y = 35928/7 + -5132. What is o in -y*o**2 + 26/7*o - 12/7 = 0?
1/2, 6
Let g(r) = -20*r**2 + 287*r - 349. Let y be g(13). Factor 5*w**y + 0*w**3 - 5/3*w**4 - 10/3*w + 0.
-5*w*(w - 1)**2*(w + 2)/3
Let t(f) be the first derivative of -f**5/40 - 67*f**4/16 - 495*f**3/2 - 42525*f**2/8 + 91125*f/8 + 1030. Suppose t(v) = 0. Calculate v.
-45, 1
Suppose 10*a = -5*p + 6*a + 133, -3*p + 5*a = -102. Suppose -34*h = -73 - p. Factor 0 + o**5 - 2*o**2 + 1/3*o + 4*o**h - 10/3*o**4.
o*(o - 1)**3*(3*o - 1)/3
What is q in 6*q + 89/3*q**3 + 37/3*q**4 + 0 + 5/3*q**5 + 25*q**2 = 0?
-3, -1, -2/5, 0
Factor -461/4*c - 11/4*c**3 + 39/2 + 89/2*c**2.
-(c - 13)*(c - 3)*(11*c - 2)/4
Let z = -809