 1/5*s**3 + 439/5*s - 113/5*s**2 - 327/5.
(s - 109)*(s - 3)*(s - 1)/5
Suppose 0 = 47*q + 195*q + 255 - 1223. Let i(h) be the third derivative of 0 + 0*h - 1/20*h**5 - 5*h**2 - 5/8*h**q - 3*h**3. Find z, given that i(z) = 0.
-3, -2
Let s(a) be the first derivative of -a**3/21 + 15*a**2/7 + 136*a/7 + 542. Solve s(j) = 0 for j.
-4, 34
Let h(y) be the second derivative of -113*y**5/150 + 2072*y**4/15 - 7601*y**3 + 1210*y**2/3 + 2183*y. Let h(g) = 0. Calculate g.
2/113, 55
Find x, given that 57/2*x - 18 - 45/4*x**2 + 3/4*x**3 = 0.
1, 2, 12
Suppose -21*z - 26 + 446 = 0. What is j in -z - 3239*j - 25*j**2 + 3199*j + 13*j**3 - 18*j**3 = 0?
-2, -1
Let f(c) be the first derivative of 1/10*c**2 - 1/15*c**3 + 2/5*c - 50. Find y such that f(y) = 0.
-1, 2
Let j(p) = -2*p**3 - 12*p**2 + 2*p. Suppose 0 = 15*a + 39 - 129. Let d(y) be the first derivative of y**3/3 - y**2/2 - 3. Let u(n) = a*d(n) + j(n). Factor u(v).
-2*v*(v + 1)*(v + 2)
Let o = 411520 - 411518. Let h be 2/(-5)*1/(-2). Factor -1/5 + h*f**3 + 1/5*f**o - 1/5*f.
(f - 1)*(f + 1)**2/5
Suppose -54*u + 19 = -89. Let q(f) be the third derivative of -12*f**u + 0*f**3 - 1/180*f**4 + 1/450*f**5 + 0*f + 0. Factor q(j).
2*j*(j - 1)/15
Let i(p) = 5*p**3 - 144*p**2 + p + 138. Let m(w) = 9*w**3 - 286*w**2 + w + 276. Let q(t) = -5*i(t) + 3*m(t). Let q(z) = 0. What is z?
-1, 1, 69
Let n = 181/114 + -35/38. Let d(r) be the first derivative of 9*r**4 + 0*r + 4*r**2 - 4*r**5 - 28/3*r**3 + n*r**6 - 7. Determine w, given that d(w) = 0.
0, 1, 2
Let h(v) be the second derivative of 0 - 5/21*v**7 - 5*v**5 - 26/15*v**6 - 17/3*v**3 - 22/3*v**4 - 2*v**2 - 88*v. Find a, given that h(a) = 0.
-2, -1, -1/5
Let d(l) be the first derivative of -l**4/8 - 16*l**3 + 99*l**2 - 200*l + 2558. Factor d(x).
-(x - 2)**2*(x + 100)/2
Let g(r) = r**3 - 60*r**2 + 138*r - 1272. Let h be g(58). Let u(t) be the first derivative of -5*t**2 + 9/8*t**h - 2*t - 7/6*t**3 + 21. Factor u(x).
(x - 2)*(x + 1)*(9*x + 2)/2
Let a(h) be the second derivative of -3*h**5/20 - 30*h**4 - 117*h**3/2 + 357*h**2 - 128*h - 2. Determine n so that a(n) = 0.
-119, -2, 1
Let n = -313 - -315. Factor -376 - 32*s**3 + 14*s**4 + 2*s + 376 + 3*s**4 + 13*s**n.
s*(s - 1)**2*(17*s + 2)
Suppose 584*q**3 + 598319*q**4 + 701*q**3 - 850*q**2 - 598334*q**4 = 0. Calculate q.
0, 2/3, 85
Let w(o) be the third derivative of o**7/945 + o**6/54 - 23*o**5/270 + o**4/9 + 826*o**2 + o. Factor w(h).
2*h*(h - 1)**2*(h + 12)/9
Factor -44*z + 256/3 + 2/3*z**2.
2*(z - 64)*(z - 2)/3
Suppose 34*l = 16*l - 108. Let q(x) = -x**3 - 8*x**2 - 11*x + 10. Let k be q(l). Factor 0*u + 0*u**2 + 0 + 6/5*u**k + 4/5*u**3 + 2/5*u**5.
2*u**3*(u + 1)*(u + 2)/5
Let l = 3 + 8. Let b(k) = -7*k**2 - 7*k - 8. Suppose p + 42 = 48. Let z(w) = 4*w**2 + 4*w + 4. Let m(u) = l*z(u) + p*b(u). Determine y, given that m(y) = 0.
-2, 1
Let i(o) be the second derivative of -o**5/4 + 100*o**4/3 + 3680*o**3/3 + 15360*o**2 - 2725*o. Let i(f) = 0. Calculate f.
-8, 96
Let h(n) be the second derivative of 2/3*n**3 + 0 - 31*n + 1/5*n**5 + 0*n**2 - 2/3*n**4. Let h(y) = 0. What is y?
0, 1
Let z(r) = 3*r**4 + r**3 + 8*r**2 + r + 1. Let q(x) = -10*x**4 - 64*x**3 - 1335*x**2 - 11194*x - 27439. Let o(v) = 4*q(v) + 12*z(v). Let o(t) = 0. What is t?
-19, -4
Let g(q) be the second derivative of 0 + 27/2*q**2 + 67*q + 5*q**3 + 1/4*q**4. Factor g(j).
3*(j + 1)*(j + 9)
Suppose -5*i = -2*g - 1, -4*g + 5*i - 8 + 31 = 0. Let n be ((-27)/18)/((-2)/g). What is u in 4*u**2 + 7*u**2 + u**3 + n*u - 5*u**2 = 0?
-3, 0
Let a(s) be the second derivative of -s**5/10 + 326*s**4/3 - 217*s**3 + 30*s - 48. Solve a(k) = 0.
0, 1, 651
Factor -62017350/13*x - 66461926750/13 - 2/13*x**3 - 19290/13*x**2.
-2*(x + 3215)**3/13
Suppose 18*u**2 - 736/3*u + 179/3*u**3 - 1/3*u**5 + 8*u**4 + 160 = 0. Calculate u.
-4, 1, 30
Suppose 4*q - 16 = 4*t, 0 = -q + 4*q - 6. Let k be 20/(-15)*3/t. Factor 2*l**2 - 10*l + 8*l - l**k.
l*(l - 2)
Let z(j) be the first derivative of -36 - 8*j**2 - 2*j - 32/3*j**3. Solve z(m) = 0 for m.
-1/4
Suppose 2*f - 162 = -4*h, 14*h + 5*f + 24 = 15*h. Suppose h*d - 102 - 15 = 0. Find k, given that 3/2 - 5/2*k + 7/6*k**2 - 1/6*k**d = 0.
1, 3
Let c(p) = 2*p**2 + 175*p + 263. Let w be c(-86). Let i(k) be the first derivative of 0*k + 0*k**3 - 3/28*k**4 + 0*k**2 + 1/35*k**w + 37. Factor i(a).
a**3*(a - 3)/7
Let a(s) be the third derivative of 2/9*s**5 + 1/252*s**8 + 4/105*s**7 + 40 + 0*s**3 - s**2 + 0*s + 2/15*s**6 + 1/6*s**4. Determine k, given that a(k) = 0.
-3, -1, 0
Let m be (2 + (-210)/75)/((-170)/25). Factor m + 128/17*x**2 - 32/17*x.
2*(8*x - 1)**2/17
Let u be 82355/(-1237600) + (-4)/(-17). Let x(h) be the third derivative of 0 - 3/16*h**5 + u*h**6 - 1/6*h**3 + 6*h**2 + 0*h - 1/3*h**4. Factor x(v).
(v - 1)*(9*v + 2)**2/4
Let x(y) be the first derivative of -y**7/5460 + y**6/1170 + y**5/52 - 3*y**4/13 - 200*y**3/3 + 264. Let w(h) be the third derivative of x(h). Factor w(f).
-2*(f - 3)**2*(f + 4)/13
Let x(k) be the third derivative of -1/200*k**6 - 1/25*k**5 + 11/40*k**4 - 3/5*k**3 - k + 3*k**2 + 0. Factor x(a).
-3*(a - 1)**2*(a + 6)/5
Factor 329475*q**2 + 6*q**4 - 5*q**4 + 98010*q - 1149*q**3 + 113052*q + 119563*q.
q*(q - 575)**2*(q + 1)
Let y(d) be the first derivative of d**6/27 + 124*d**5/45 - 32*d**4/3 + 388*d**3/27 - 65*d**2/9 - 487. Suppose y(f) = 0. Calculate f.
-65, 0, 1
Let x(l) = 2*l**2 - 16*l - 2. Let q(h) = -10*h**2 + 49*h + 5. Let i = -792 + 790. Let g(d) = i*q(d) - 7*x(d). Let g(y) = 0. What is y?
-2, -1/3
Let k(u) = u**3 - 5*u**2 - 10. Let s be k(6). Let j be s/117 - (-16)/9. Factor -j*n**2 + 0*n**2 - 4*n + 32 - 32.
-2*n*(n + 2)
Let q(c) be the second derivative of -c**4/6 + 1952*c**3/3 - 952576*c**2 + 5557*c. Factor q(w).
-2*(w - 976)**2
Let h(w) be the third derivative of w**5/105 - 8*w**3/21 + 267*w**2. Factor h(t).
4*(t - 2)*(t + 2)/7
Let l(d) be the first derivative of d**4/36 - 205*d**3/27 - 6636. Solve l(y) = 0 for y.
0, 205
Let a(x) = -5*x**3 + 4*x**3 + 31*x + 14*x**2 - 27*x**2 + 18. Let u be a(-15). Suppose -u*v + 3*v**3 - 5*v - 3*v**2 - 9 - 7*v = 0. Calculate v.
-1, 3
Let z be 61/6 - (-3)/(-18). Suppose -3*o + 4*r - 13 = -6*o, -4*o = -2*r - z. Find n such that 0*n - 2/9*n**o + 0 + 2/9*n**2 = 0.
0, 1
Suppose 18*a - 63 = -3*a. Factor 24 - 29*c**2 + 16*c**a + 24*c - 37*c**2 + 52*c + 10*c**2 - 20*c**2.
4*(c - 3)*(c - 2)*(4*c + 1)
Let t(c) be the first derivative of 28*c**3/15 - 117*c**2/10 + 4*c - 1376. Factor t(h).
(h - 4)*(28*h - 5)/5
Let m(w) be the first derivative of -w**4/18 + 76*w**3/27 + 80*w**2/9 - 3937. Solve m(x) = 0 for x.
-2, 0, 40
Suppose 15/2*s**5 + 267/4*s**4 - 153*s + 537/4*s**3 - 54 - 3/2*s**2 = 0. Calculate s.
-6, -2, -3/2, -2/5, 1
Let u = 8446/3 + -2813. Let h(n) be the second derivative of 4/3*n**3 + 9/5*n**5 + u*n**4 + 2/3*n**6 + 0*n**2 + 0 + 2/21*n**7 + 8*n. Factor h(v).
4*v*(v + 1)**3*(v + 2)
Let u be (-1)/6 - 11999/(-38766). What is i in u*i**3 - 4*i**2 + 27/7*i + 0 = 0?
0, 1, 27
Factor -16/7 - 36/7*d - 24/7*d**2 - 4/7*d**3.
-4*(d + 1)**2*(d + 4)/7
Let j = 5486 + -5480. Let s(k) be the third derivative of 0*k + 0 + 1/660*k**j - 1/132*k**4 - 9*k**2 - 1/11*k**3 + 1/110*k**5. Factor s(i).
2*(i - 1)*(i + 1)*(i + 3)/11
Let b(a) be the second derivative of -a**7/2100 + a**6/60 + a**5/300 - a**4/4 - 43*a**3 - 8*a + 4. Let t(h) be the second derivative of b(h). Factor t(i).
-2*(i - 15)*(i - 1)*(i + 1)/5
Let y(o) be the third derivative of o**7/1260 - 2*o**6/45 - o**4/6 + o**3/2 + 94*o**2. Let n(r) be the second derivative of y(r). Find a, given that n(a) = 0.
0, 16
Let s(q) = -2*q**5 + 10*q**4 - 22*q**3 + 7*q**2 - 7*q - 7. Let f(j) = j**4 + j + 1. Let w(g) = -7*f(g) - s(g). Factor w(c).
c**2*(c - 7)*(c - 1)*(2*c - 1)
Factor 305/6*g + 17/3*g**2 + 136/3 + 1/6*g**3.
(g + 1)*(g + 16)*(g + 17)/6
Let k = 2/7 + 1/21. Let z(j) = -3*j**2 + 144*j - 1699. Let s be z(21). Factor 0 - k*n**s + 2/3*n.
-n*(n - 2)/3
Let r = -389 + 405. Find i such that -62*i + 53*i + 293*i - r - 70*i**2 = 0.
2/35, 4
Factor 2/5*f**2 + 1536/5*f + 294912/5.
2*(f + 384)**2/5
Let n = -140472 + 140472. Factor 0 - 31/5*k**4 + 0*k - 1/5*k**5 - 6*k**3 + n*k**2.
-k**3*(k + 1)*(k + 30)/5
Let f(j) be the third derivative of -j**8/48 - 2*j**7/35 - j**6/40 + j**5/30 - 5*j**2 - 210. Factor f(x).
-x**2*(x + 1)**2*(7*x - 2)
Let s(l) be the first derivative of 5/