4, -1, 2
Let y(o) be the second derivative of -o**6/3240 + 13*o**5/1080 + 83*o**3/3 + 25*o. Let l(d) be the second derivative of y(d). Suppose l(f) = 0. What is f?
0, 13
Let z(n) be the second derivative of 0 - 8/3*n**4 + 0*n**2 + 52*n + 1/5*n**5 + 0*n**3. Find s, given that z(s) = 0.
0, 8
Factor -56/9*j + 88/3 + 2/9*j**2.
2*(j - 22)*(j - 6)/9
Let r = 261739/10 - 130869/5. Factor -r*p**2 + 0 - 1/5*p.
-p*(p + 2)/10
Let u(o) = 14*o**4 - 43*o**3 + 96*o**2 + 6*o - 3. Let t(h) = 18*h**4 - 44*h**3 + 94*h**2 + 8*h - 4. Let i(a) = -3*t(a) + 4*u(a). Factor i(z).
2*z**2*(z - 17)*(z - 3)
Let b = 212383 - 849531/4. Factor 9/4*v**2 + b*v**3 + 2*v + 0.
v*(v + 1)*(v + 8)/4
Factor -504/5 + 4/5*y**2 - 156/5*y.
4*(y - 42)*(y + 3)/5
Let w(y) be the third derivative of y**8/672 - 4*y**7/105 - 17*y**6/240 - 2*y**2 + 52*y. What is v in w(v) = 0?
-1, 0, 17
Let r(i) be the second derivative of -3*i**4 - 50/3*i**3 + 12*i**2 - 15 - i. Factor r(w).
-4*(w + 3)*(9*w - 2)
Suppose 25*b - 22*b - 28 = -2*w, -w + 11 = b. Let g(t) be the first derivative of -12 - 54/17*t + 0*t**2 + 12/17*t**3 + 2/85*t**w + 4/17*t**4. Factor g(y).
2*(y - 1)*(y + 3)**3/17
Suppose 50/3 + 1/3*f**5 + 44/3*f**3 - 38/3*f**2 - 4*f**4 - 15*f = 0. What is f?
-1, 1, 2, 5
Factor -16 + 1/3*v**3 + v**2 - 16/3*v.
(v - 4)*(v + 3)*(v + 4)/3
Factor -1112/7*f + 154568/7 + 2/7*f**2.
2*(f - 278)**2/7
Let f = -120179 - -360541/3. Find n such that f*n + 19/6*n**4 - 19/3*n**3 - 1/3*n**5 - 7/6 + 10/3*n**2 = 0.
-1/2, 1, 7
Let m(c) be the first derivative of -c**4/12 - 11*c**3/3 - 117*c**2/2 - 1183*c/3 + 436. Determine s, given that m(s) = 0.
-13, -7
Let a be (1/(-9))/(637/27300*-54 + (-5)/(-4)). Factor -14/9*b**2 + a - 346/9*b.
-2*(b + 25)*(7*b - 2)/9
Determine u, given that -2/5*u**4 - 28/5*u**2 + 0*u - 6*u**3 + 0 = 0.
-14, -1, 0
Suppose 3540 = 10*j + 3500. Let o(p) be the second derivative of 0 + 8*p + 0*p**2 + 1/84*p**j + 0*p**3. Factor o(w).
w**2/7
Let g be 12/32*16 + (-48)/10. Let v(j) be the first derivative of 1/5*j**3 - 12/5*j - g*j**2 + 14 + 3/20*j**4. Factor v(m).
3*(m - 2)*(m + 1)*(m + 2)/5
Let r(q) be the third derivative of -q**7/315 - 7*q**6/30 - 33*q**5/10 + 2604*q**2. Determine h so that r(h) = 0.
-33, -9, 0
Let h be 15*1*(-3)/9. Let m be 0/h + (9 + -2)*3. Factor -8*f**2 - 10*f**2 + m*f**2 - 4*f**2.
-f**2
Suppose 0 = -4*c + 8*c - 32. Let g be 4*(-1 + (1 - -1)). Factor 4*a**4 - a**4 + 31*a - 16*a**2 + a**g + a - c*a**3.
4*a*(a - 2)**2*(a + 2)
Let r(f) be the second derivative of -5/21*f**3 + 1/84*f**4 + 9*f + 9/14*f**2 - 1. Determine w, given that r(w) = 0.
1, 9
Find a such that 5/3*a**2 + 395 - 1190/3*a = 0.
1, 237
Suppose 0 = -37*v + 38 + 14 + 22. Let z(n) be the first derivative of -2/15*n**3 + 12/5*n + 12 + 1/5*n**v. Determine s so that z(s) = 0.
-2, 3
Suppose 60 = -q + 16*q. Suppose -2*d = -2*z - 2, 0 = 3*z - q - 2. Factor 1/7*v**d + 0*v**2 + 0 + 0*v.
v**3/7
Let s = 319 + -311. Let i be (-9*14/(-336))/(1/s). Factor 0 + 3*x**4 + 0*x**2 - 3/2*x**i - 3/2*x**5 + 0*x.
-3*x**3*(x - 1)**2/2
Let 227*r + 16*r**2 + 0 - 10*r**3 + 234*r - 697*r + 234*r - 4 = 0. Calculate r.
-2/5, 1
Let i(o) = 114*o**2 - 448*o - 2331. Let y(d) = -22*d**2 + 90*d + 466. Let k(b) = -6*i(b) - 31*y(b). Factor k(j).
-2*(j + 5)*(j + 46)
Let g(h) = 8*h**2 - 178*h - 138. Let u be g(23). Let 65/3*i**5 + 0 + u*i**2 + 10/3*i**4 + 0*i + 0*i**3 = 0. What is i?
-2/13, 0
Let m = 133813/21 - 6372. Let x(k) be the second derivative of 0 + 14*k + m*k**4 + 50/7*k**2 - 20/21*k**3. Find o such that x(o) = 0.
5
Suppose 137*b - 168 = 380. Let g(w) be the first derivative of 3*w**2 - 3/2*w**b + 9 + 0*w**3 + 3/5*w**5 - 3*w. Find n, given that g(n) = 0.
-1, 1
Let k(c) be the first derivative of -5*c**2 + 0*c - 69 - 5*c**4 - c**5 - 25/3*c**3. Solve k(r) = 0.
-2, -1, 0
Let p(w) be the third derivative of w**6/4 - 79*w**5/12 - 2635*w**4/24 + 75*w**3 - 1853*w**2 + 2*w + 3. Determine y, given that p(y) = 0.
-5, 1/6, 18
Suppose -4*p + 6 = -w + 2*w, w + 10 = 4*p. Factor 0*i**2 - 45*i + 11*i**2 - 16*i**p.
-5*i*(i + 9)
Let i be (-62)/((4 - -4) + -6). Let d be i/(-93) - (-4)/(-30). Factor -d*s**3 + 0*s**2 + 0*s**4 + 1/10*s + 0 + 1/10*s**5.
s*(s - 1)**2*(s + 1)**2/10
Let z(k) be the third derivative of 20/9*k**4 + 1/720*k**6 - 128/9*k**3 - 232*k**2 + 0 + 0*k - 17/180*k**5. Factor z(c).
(c - 16)**2*(c - 2)/6
Let b(m) be the second derivative of 0 + 2/45*m**5 + 0*m**2 - 89*m + 0*m**3 - 1/54*m**4. Let b(u) = 0. Calculate u.
0, 1/4
Let x be 3 + 36 + (-16 - 29) - (315/2)/(-3). Suppose 33/2*f**2 + x*f + 63/2 + 3/2*f**3 = 0. Calculate f.
-7, -3, -1
Let b(n) be the third derivative of 5/6*n**3 + 97*n**2 + 0*n - 1/60*n**5 + 13/72*n**4 + 0 - 1/360*n**6. Factor b(v).
-(v - 3)*(v + 1)*(v + 5)/3
Let b(j) be the first derivative of 21*j**2 - 2/3*j**3 + 0*j + 75. Factor b(s).
-2*s*(s - 21)
Factor 0*r + 0 - 1/7*r**4 - 68/7*r**3 - 1156/7*r**2.
-r**2*(r + 34)**2/7
Suppose -39*x + 359 = 4*f, f + 4*f = -3*x + 37. Suppose 1/5*w**3 - 4/5*w**f - 28/5*w - 32/5 = 0. Calculate w.
-2, 8
Let t = 41167/12 + -13721/4. What is z in -25/6*z**3 + 10/3*z + 5/3*z**2 + 5/6*z**5 - t*z**4 - 4/3 = 0?
-2, -1, 2/5, 1, 2
Suppose 28 = -7*z + 14*z. Suppose 24*p**3 + 16*p**2 - 16*p + 51*p**z - 47*p**4 - 20 - 8*p = 0. Calculate p.
-5, -1, 1
Let p(v) = -620*v - 30377. Let o be p(-49). Suppose 2/3*n**5 + 0 + 0*n**2 - 6*n**4 + 0*n + 16/3*n**o = 0. Calculate n.
0, 1, 8
Let a(y) be the first derivative of -y**6/2340 + y**4/39 + 38*y**3/3 - 50. Let c(h) be the third derivative of a(h). Solve c(l) = 0 for l.
-2, 2
Let a(o) be the first derivative of -115*o**6/24 - 93*o**5/2 - 355*o**4/2 - 980*o**3/3 - 270*o**2 - 40*o - 1839. Factor a(g).
-5*(g + 2)**4*(23*g + 2)/4
Let q be 2*(-2)/(-12) - (31 + -31). Let x(t) be the first derivative of -q*t**2 - 18 + 0*t + 1/18*t**3. Suppose x(u) = 0. What is u?
0, 4
Let x = -7013/4 - -35073/20. Let 8 - x*q**2 - 38/5*q = 0. Calculate q.
-20, 1
Let p(q) = 6*q + 32. Let k be p(-5). Let y be (-1)/k - (-2 - (-5)/(-10)). Find i such that -35*i**3 - 18*i**4 + 0*i**2 + 8*i**y + 3*i**3 = 0.
-2, 0, 2/9
Let d = -83545/36 + 9297/4. Suppose 2*h = -3*h + 4*l + 22, 3*l + 15 = 3*h. Factor -d*y**h - 2/9 + 16/9*y.
-2*(4*y - 1)**2/9
Let b(w) be the second derivative of 1/10*w**5 - 128/5*w**2 + 2 + 4/25*w**6 + 1/105*w**7 - 89/15*w**4 - 68*w + 96/5*w**3. Find h such that b(h) = 0.
-8, 1, 2
Let o(r) = -9*r**5 + 2779*r**4 - 2770*r**3 - 4. Let f(k) = 145*k**5 - 44465*k**4 + 44320*k**3 + 65. Let n(x) = 4*f(x) + 65*o(x). Let n(h) = 0. Calculate h.
0, 1, 554
Let v(o) be the third derivative of o**8/14 + 34*o**7/35 + 433*o**6/80 + 639*o**5/40 + 27*o**4 + 27*o**3 - 7*o**2 - 3*o + 124. Find i such that v(i) = 0.
-3, -2, -3/4
Let t(r) = -r**2 - 84*r - 261. Let s be t(-31). Let w = 17976/13 - s. Factor w*l - 8/13 - 2/13*l**2.
-2*(l - 4)*(l - 1)/13
Let y(d) = d**2. Let b(l) be the second derivative of 5*l**4/12 - 20*l**3/3 - 30*l**2 - 5*l. Let z(c) = -b(c) + 10*y(c). Let z(v) = 0. What is v?
-6, -2
Find i such that 14/15*i**3 - 64/15*i + 0 + 4/15*i**2 = 0.
-16/7, 0, 2
Let m be (-980)/(-40) + (-3)/2. Suppose m = -4*h - 1. Let y(w) = 10*w**2 - 2*w + 6. Let i(a) = 31*a**2 - 5*a + 17. Let u(l) = h*i(l) + 17*y(l). Factor u(b).
-4*b*(4*b + 1)
Let q = 1818/5 - 5453/15. Let p(c) be the first derivative of -3/10*c**2 + 6 - 2/5*c - q*c**3. Solve p(g) = 0 for g.
-2, -1
Suppose -2*g = 3*g + 5*v - 160, 3*v = -3. Factor 2*u**3 + g*u**2 - 5*u**2 - 9 + 209 + 130*u.
2*(u + 4)*(u + 5)**2
Let -46*z**2 + 24*z - 10/3*z**4 + 68/3*z**3 + 0 = 0. What is z?
0, 4/5, 3
Let x = 459/20 + -338/15. Let b(m) be the first derivative of 13/8*m**2 + 7/4*m + x*m**3 - 1/16*m**4 + 7. Find k, given that b(k) = 0.
-1, 7
Let p be (3 - 1)/(((-2)/(-1))/(-14)*(-1796 - -1789)). Solve 0*v + 2 + 1/2*v**3 - 3/2*v**p = 0 for v.
-1, 2
Suppose 2*h = 2*r - 310, -160 = -2*r + h + 151. Let m = r - 1090/7. Suppose 0 + m*u**5 + 0*u**3 - 4/7*u**2 + 4/7*u**4 - 2/7*u = 0. What is u?
-1, 0, 1
Let k(b) be the first derivative of 14/45*b**5 + 8/9*b - 16/9*b**2 - 19/18*b**4 - 1/27*b**6 + 50/27*b**3 + 130. Factor k(l).
-2*(l - 2)**2*(l - 1)**3/9
Let i(z) be the second derivative of -z**5/20 - 1205*z**4/4 - 1452025*z**3/2 - 1749690125*z**2/2 - 6496*z. Factor i(b).
-(b + 1205)**3
Let w(g) = -g - 49. Let f be w(-9). Let l be 36/10 - 16/f. Factor 16 + 8*q - 8 + 8*q**2 - 8 + 4*q**