4. Let m(w) be the first derivative of g(w). Let m(i) = 0. Calculate i.
0, 2
Let q(k) be the third derivative of -6*k + 1/135*k**5 - 29*k**2 - 32/27*k**3 + 0 - 7/12*k**4. Determine y, given that q(y) = 0.
-1/2, 32
Suppose -4*n + 195 = -3*q - 7, -5*n + 249 = -2*q. Let i be 259/n*1 - (5 - 0). Factor -4/7*v**3 + 2/7 + i*v**4 + 2/7*v - 4/7*v**2 + 2/7*v**5.
2*(v - 1)**2*(v + 1)**3/7
Let a(q) be the second derivative of q**5/40 + 5*q**4/6 - 56*q**3/3 + 1408*q. Factor a(u).
u*(u - 8)*(u + 28)/2
Find l, given that -200*l**2 - 499905*l**4 + 144*l + 499857*l**4 + 2*l**5 - 180*l**3 + 288 - 6*l**5 = 0.
-6, -3, -2, 1
Let y(l) be the third derivative of 0*l**3 + 1/12*l**5 + 37*l**2 + 0*l + 1/18*l**6 + 0 - 1/126*l**7 - 5/4*l**4. Factor y(j).
-5*j*(j - 3)**2*(j + 2)/3
Suppose 1327 + 339 = 833*y. Factor 0 + 15/2*i + 9*i**y + 3/2*i**3.
3*i*(i + 1)*(i + 5)/2
Let n(l) = -3*l**2 - 202*l - 3464. Let f be (-2 - 0)*(-3 + 2). Let v(j) = -3*j**2 - 201*j - 3462. Let s(m) = f*v(m) - 3*n(m). Let s(t) = 0. Calculate t.
-34
Let l = 28449/56906 - -2/28453. Find y such that 13/4*y**3 + 0 + 0*y + l*y**2 + 11/4*y**4 = 0.
-1, -2/11, 0
Let 1836025/2 + 1/2*i**2 - 1355*i = 0. What is i?
1355
Let v(c) = 11*c**3 + 8*c**2 + 14*c + 3. Let w(d) = d**3 + d**2 + 2*d. Let o(k) = -4*v(k) + 36*w(k). Factor o(f).
-4*(f - 1)**2*(2*f + 3)
Let m(q) be the second derivative of 0 - 48/5*q**2 + 28/15*q**3 - 1/15*q**4 + 202*q. Factor m(p).
-4*(p - 12)*(p - 2)/5
Let i(w) be the second derivative of w**4/16 + 43*w**3/8 - 525*w**2/4 - 1627*w + 4. Factor i(k).
3*(k - 7)*(k + 50)/4
Let a(h) be the second derivative of -h**7/315 - 32*h**6/225 - 142*h**5/75 - 209*h**4/45 + 19*h**3/3 + 30*h**2 - 426*h. Determine l, given that a(l) = 0.
-15, -2, -1, 1
Let p(l) be the first derivative of -3*l**4/16 - 15*l**3/2 - 249*l**2/8 - 81*l/2 - 1675. Factor p(s).
-3*(s + 1)*(s + 2)*(s + 27)/4
Let i(y) be the third derivative of 0*y - 1/10*y**6 + 0 + 5/8*y**4 + 1/10*y**5 + 57*y**2 - 1/112*y**8 - 2/35*y**7 + y**3. Find q such that i(q) = 0.
-2, -1, 1
Solve 0 + 8/7*j**4 + 12/7*j**3 - 8/7*j**2 - 2/7*j**5 - 10/7*j = 0 for j.
-1, 0, 1, 5
Factor 4657*n + 2519 - 5002 - 4*n**2 + 2483 + 7*n.
-4*n*(n - 1166)
Let k = 295167 - 885499/3. Find c, given that 8/3 + k*c**2 + 8/3*c = 0.
-2
Let i = 398 - 408. Let b be (((-4)/i)/2)/((-3)/(-6)). Find s such that 36/5*s - b*s**2 - 162/5 = 0.
9
Let i be (18/36)/((-210)/(-20) + -9). What is d in 4 + 11/3*d - i*d**2 = 0?
-1, 12
Let s(o) be the third derivative of 7*o**5/20 - 1209*o**4/8 - 173*o**3 - 7*o**2 + 73*o. What is i in s(i) = 0?
-2/7, 173
Let n(j) = 6*j**5 - 93*j**4 + 294*j**3 - 372*j**2 + 198*j - 36. Let v(d) = d**5 - d**3 - d**2 + 2*d. Let z(s) = -n(s) - 3*v(s). Let z(q) = 0. What is q?
1/3, 1, 2, 6
Suppose -4*g + 184 = 4*z, 0 = -4*g - 0*z + 5*z + 175. Let q be (54/g)/((-24)/(-15)). Suppose 1/4 - 1/4*m**3 - q*m + 3/4*m**2 = 0. Calculate m.
1
What is o in 3155*o**2 + 3367*o**2 + 24 - 6137*o**2 + 10*o**3 - 35*o**3 + 250*o - 184 = 0?
-1, 2/5, 16
Let n be (-21)/42*12/(-90)*5/4. Let h(g) be the first derivative of 1/3*g**3 + 5/3*g + n*g**4 - 15 - 3/2*g**2. Factor h(o).
(o - 1)**2*(o + 5)/3
Let s(b) be the second derivative of b**4/24 - 197*b**3/6 + 393*b**2/4 - 664*b + 1. Factor s(r).
(r - 393)*(r - 1)/2
Suppose -2*l + 2 = 5*w - 16, 2*w + 3*l = 16. Let d(f) be the second derivative of 0*f**3 + 9*f + 0 + 1/16*f**w - 1/96*f**4. Factor d(g).
-(g - 1)*(g + 1)/8
Suppose -86 = -15*g + 439. Let k be (90/g)/9*14. Solve -1 - 9/5*d - 1/5*d**5 + 2*d**3 + 3/5*d**k + 2/5*d**2 = 0.
-1, 1, 5
Suppose 0 = -21*x + 11*x + 80. Suppose -20*g - 16*g**4 + x*g**2 - 9*g**3 + 8 + 74*g**5 - 70*g**5 + 25*g**3 = 0. Calculate g.
-1, 1, 2
Solve -2/3*j**4 - 44*j + 44*j**3 - 2176/3*j**2 + 726 = 0 for j.
-1, 1, 33
Let t(o) be the first derivative of -o**4/28 + 7*o**3/3 - 267*o**2/14 + 387*o/7 - 1562. Factor t(d).
-(d - 43)*(d - 3)**2/7
Suppose -43075 = 5*t - 43075. Let h(n) be the third derivative of -20*n**2 + 1/3*n**4 - 1/4*n**5 + 0 + 8/3*n**3 - 1/210*n**7 + t*n - 1/15*n**6. Factor h(v).
-(v - 1)*(v + 1)*(v + 4)**2
Suppose 617*t = 621*t + 8. Let u be t/6*-12 - (0 + 4). Factor u*p + 0 + 14/5*p**4 + 2*p**3 + 6/5*p**5 + 2/5*p**2.
2*p**2*(p + 1)**2*(3*p + 1)/5
Let x(t) be the third derivative of -1/315*t**7 + 0 + 35/36*t**4 + 0*t + 1/20*t**6 + 11/30*t**5 + 20*t**2 + 4/3*t**3. Factor x(q).
-2*(q - 12)*(q + 1)**3/3
Suppose 2*g = 3*v - 51, -4*g = 5*v + 76 + 37. Let w be g/195 + (-3)/(-5). Find z, given that 10/13*z**2 + w*z**3 + 4/13*z + 0 = 0.
-1, -2/3, 0
Suppose 5*z - 7*f = -12*f - 10, 5*f + 25 = 0. Factor z*w + 6 - 9*w**2 + 5*w**2 - 30*w**4 - 5*w**2 + 33*w**4 - 3*w**3.
3*(w - 2)*(w - 1)*(w + 1)**2
Let f(n) be the third derivative of 0*n**3 + 0*n**4 + 3/20*n**6 + 0 - 1/14*n**7 + 0*n + 12*n**2 - 1/20*n**5. Let f(v) = 0. What is v?
0, 1/5, 1
Suppose -3*o + 5*j = 1342 - 497, 5*o = j - 1401. Let y be 1/12*3 + (-170)/o. Factor -4/7*f + y - 2/7*f**2.
-2*(f - 1)*(f + 3)/7
Let p = -422/555 + 38/37. Let d(b) be the first derivative of p*b**3 + 16/5*b**2 + 64/5*b - 6. Factor d(m).
4*(m + 4)**2/5
Suppose b = 3*y + 4*b - 6, 2*y - 5*b - 18 = 0. Let n = -48 + 55. Solve -12*o - n*o + 13*o + 5 + 6*o**3 - y*o**2 - 1 = 0.
-1, 2/3, 1
Let n(q) be the second derivative of q**6/30 + 72*q**5/5 - 145*q**4/3 - 1614*q. Find s, given that n(s) = 0.
-290, 0, 2
Suppose -4*u = -4*k, -66*u + 59*u + 0*k = k. Let 0*v - 7/2*v**2 - 23/4*v**3 - 5/2*v**4 + u - 1/4*v**5 = 0. What is v?
-7, -2, -1, 0
Let m = -4101 - -4104. Let b(p) be the first derivative of 2/3*p**4 + 4/3*p - 1 - 3*p**2 + 2/3*p**m. Let b(v) = 0. What is v?
-2, 1/4, 1
Let t(d) be the second derivative of 2*d**6/15 - 128*d**5/5 - d**4 + 772*d**3/3 - 512*d**2 + 3*d - 553. Find g, given that t(g) = 0.
-2, 1, 128
Let j(p) = -413*p + 3. Let k be j(-1). Find i such that 9*i**2 + 128 - 6*i**3 + 22*i**2 + 67*i**2 - k*i = 0.
1/3, 8
Let x be ((-15)/12 + 2)/((-111)/(-5032)). Let p be 4/x - (-288)/153*1. Suppose -3/10*r**p - 2/5*r**3 + 0 + 1/10*r = 0. Calculate r.
-1, 0, 1/4
Let h(c) be the first derivative of c**4/5 + 56*c**3/5 + 122*c**2 + 1056*c/5 - 5967. Determine l so that h(l) = 0.
-33, -8, -1
Let m(u) be the first derivative of 1/2*u**4 - 4/9*u**3 + 1/18*u**6 - 188 + 0*u - 4/15*u**5 + 1/6*u**2. Factor m(s).
s*(s - 1)**4/3
Let c(g) be the third derivative of -43/12*g**5 - 3*g + 0 + 0*g**3 + 1/8*g**6 + 6*g**2 - 25/4*g**4. Factor c(x).
5*x*(x - 15)*(3*x + 2)
Let o(r) = -9*r**3 - 622*r**2 - 1257*r - 42. Let u(d) = -4*d**3 - 312*d**2 - 629*d - 18. Let h(n) = -3*o(n) + 7*u(n). Find c such that h(c) = 0.
-316, -2, 0
Let t(c) be the second derivative of c**6/90 - c**5/10 - c**3/3 + 3*c**2/2 - 11*c + 2. Let h(z) be the second derivative of t(z). Factor h(l).
4*l*(l - 3)
Suppose -20*k + 121 = 261. Let z be (320/128)/(k/(-18)). Factor 12/7*t**4 + 36/7*t**2 + 0 + z*t**3 - 12/7*t.
3*t*(t + 2)**2*(4*t - 1)/7
Let j(y) be the second derivative of -y**6/15 - 106*y**5/5 - 309*y**4 - 1836*y**3 - 5481*y**2 - 9*y + 134. Factor j(d).
-2*(d + 3)**3*(d + 203)
Let p(v) = 7*v**2 + 35*v + 1. Let h(r) = 45*r + 306. Let y be h(-7). Let o(f) = -3*f**2 - 16*f - 1. Let a(k) = y*o(k) - 4*p(k). Suppose a(u) = 0. Calculate u.
-1, 5
Let s = -11649 + 11651. Determine y, given that 2/3*y - 4/9 + 10/9*y**s = 0.
-1, 2/5
Let i be 1/(-3)*2400/16. Let v be (-145)/i - (-4)/40. Solve -2/5*k**4 + 0*k**v + 6/5*k**2 - 4/5*k + 0 = 0 for k.
-2, 0, 1
Suppose 4*k - 2 = -2*j, 2*j + 3*j = -2*k - 19. Factor 32*g**3 - 29*g**k + 4*g**2 + 8*g**2.
3*g**2*(g + 4)
Let d(s) be the third derivative of s**5/180 - 53*s**4/12 + 2809*s**3/2 + s**2 + 519. What is w in d(w) = 0?
159
Suppose 5384/9*o + 598 + 2/9*o**2 = 0. Calculate o.
-2691, -1
Let r = -60 + 55. Let q(m) = m**3 + 6*m**2 + 6*m + 10. Let n be q(r). Factor 15*t**3 - 45*t**4 + n*t**5 + 480*t + 201*t**2 + 180 + 201*t**2 - 37*t**2.
5*(t - 6)**2*(t + 1)**3
Let h(c) = 37*c**2 + 61*c + 4. Let y(i) = -2*i + 11. Let o be y(3). Let b(q) = 38*q**2 + 60*q + 4. Let n(d) = o*b(d) - 6*h(d). Let n(a) = 0. What is a?
-2, -1/16
Let i(k) be the first derivative of -5*k**3/3 - 755*k**2/2 + 3131. Factor i(s).
-5*s*(s + 151)
Let p be ((-899)/58 - -51) + -35. Let 2/3*u**4 + 0 + 0*u**2 + p*u**3 + 0*u + 1/6*u**5 = 0. Calculate u.
-3, -1, 0
Let w(s) be the third derivative of 1/3*s**6 + 78*s**2 - 13/15*s**5 + 0*s + 4*s**3 - 17/