 - 23/3*s**2 - h*s**3 + 1/6*s**5 - 25/6.
(s - 1)**3*(s + 5)**2/6
Let 24*z - 90/7 - 2/7*z**4 - 100/7*z**2 + 24/7*z**3 = 0. What is z?
1, 3, 5
Let i = -7674 - -7679. Let v(p) be the third derivative of 5/24*p**4 + 6*p**2 + 0 + 1/12*p**i - 5/6*p**3 - 1/24*p**6 + 0*p. Suppose v(q) = 0. Calculate q.
-1, 1
Factor 1015/4*a**2 + 27 - 152*a - 425/4*a**3.
-(5*a - 2)**2*(17*a - 27)/4
Determine w, given that -4*w**3 + 2/3*w**4 - 8*w**2 + 64 + 112/3*w = 0.
-2, 4, 6
Let m(k) be the third derivative of k**5/60 - k**4/6 + k**3/2 - 9*k**2. Let c be m(5). Factor c - 3*i + i**4 - i - 29*i**2 + i**3 + 23*i**2.
(i - 2)*(i - 1)*(i + 2)**2
Let s(r) be the third derivative of 11/6*r**4 + 0 + 0*r - 7/15*r**5 + 1/30*r**6 + 124*r**2 - 10/3*r**3. Determine x, given that s(x) = 0.
1, 5
Find o, given that 241*o + 36411*o**2 + 28 - 514 - 36410*o**2 = 0.
-243, 2
Let k = -218 + 222. Suppose 25*g - 29*g**2 + 5*g**k + 15*g**3 - 15*g**2 - g**2 = 0. Calculate g.
-5, 0, 1
Find d, given that -596 + 2084*d - 579*d**2 - 805*d**2 + 199*d**2 - 4*d**4 - 1196*d**3 = 0.
-298, -2, 1/2
Let -24 - 9 - 1 + 2 + 38*k - 2*k - 4*k**2 = 0. Calculate k.
1, 8
Suppose 0 + 3/2*f**2 + 3/8*f**3 + 9/8*f = 0. Calculate f.
-3, -1, 0
Let w = -13 + 18. Let k be -5 + 76/10 + 78/195. Factor -20*y**k + 20*y**2 - 56*y**2 - 28*y - 13 - 4*y**4 + w.
-4*(y + 1)**3*(y + 2)
Factor 4/5*u**3 - 5931900 - 468*u**2 + 91260*u.
4*(u - 195)**3/5
Let s(l) = -15*l**3 - 295*l**2 + 2230*l - 3255. Let p(j) = -17*j**3 - 296*j**2 + 2231*j - 3256. Let y(r) = -5*p(r) + 6*s(r). Factor y(z).
-5*(z - 5)*(z - 2)*(z + 65)
Let c be (85624/(-4522) - -19) + ((-100)/190)/(-10). Solve 0 - c*t**4 + 2/17*t**3 + 0*t**2 + 0*t = 0.
0, 1
Determine y so that -294/13 - 2/13*y**2 - 8*y = 0.
-49, -3
Let c(m) be the second derivative of m**5/4 + 65*m**4/4 - 135*m**3/2 - 54675*m**2/2 + 58*m - 22. What is p in c(p) = 0?
-27, 15
Let c = 1015 - 1011. Let w(l) be the first derivative of 15/16*l**2 + 25/8*l + 1/32*l**c - 9 - 3/8*l**3. Factor w(t).
(t - 5)**2*(t + 1)/8
Let n(l) be the second derivative of 3*l**5/40 - 193*l**4/96 + 49*l**3/3 - 4*l**2 + 1763*l. Determine t so that n(t) = 0.
1/12, 8
Let j(t) be the third derivative of -t**7/420 + t**5/20 + t**4/6 - 50*t**3/3 - 85*t**2. Let r(w) be the first derivative of j(w). Factor r(c).
-2*(c - 2)*(c + 1)**2
Let p = -3 - -5. Let k = -8320 - -8335. Let 45/2 + k*w + 5/2*w**p = 0. What is w?
-3
Let l = 1073559/2 + -536772. Factor 11*r + l - 3/8*r**2.
-(r - 30)*(3*r + 2)/8
Let g be ((-36)/(-696))/((-214)/(-3103)). Suppose -15/2 + 33/4*p - g*p**2 = 0. Calculate p.
1, 10
Let v(c) = c**3 + 3*c**2 + 6*c + 4. Let r be v(-1). Let o(u) be the third derivative of 1/20*u**5 - 1/8*u**4 + 0*u + 7*u**2 + 0 + r*u**3. Factor o(m).
3*m*(m - 1)
Let v(s) = -19*s**2 + 173*s + 236. Let t(z) = 21*z**2 - 171*z - 237. Let y(h) = -2*t(h) - 3*v(h). Factor y(r).
3*(r - 13)*(5*r + 6)
Factor 2/13*j**3 - 2/13*j - 134/13 + 134/13*j**2.
2*(j - 1)*(j + 1)*(j + 67)/13
Factor 0 + 108*n**2 - 2/3*n**3 - 2464/3*n.
-2*n*(n - 154)*(n - 8)/3
Let m be (1 + (-87)/(-12))/(30/880). Factor 138*y**2 + 13*y + 15*y**3 + 131*y**2 + y**4 - m*y**2.
y*(y + 1)**2*(y + 13)
Let z(b) = -6*b**2 - 16*b - 29. Let a be z(-2). Let x be 6/9*a/(-49). Factor 0 + 2/7*u + x*u**2.
2*u*(u + 1)/7
Let i(y) be the first derivative of -y**3/6 + 141*y**2/4 + 143*y + 4107. Solve i(x) = 0 for x.
-2, 143
Let i(s) be the third derivative of -s**7/252 - 5*s**6/144 + s**5/2 - 1090*s**2. Factor i(z).
-5*z**2*(z - 4)*(z + 9)/6
Suppose 4*g = -3*s + 129, -6*g = -3*g - 5*s - 133. Suppose -4*b - 5*c + 15 = 0, -3*c - 2*c = b. Factor 35*j**b - 72*j**5 - j**3 + g*j**5 + 2*j**4.
-j**3*(j - 1)**2
Let v(h) be the first derivative of -h**3/3 - 2*h**2 - 528. Let t(l) = -3*l. Suppose -4*s = -2 + 22. Let y(i) = s*t(i) + 4*v(i). What is d in y(d) = 0?
-1/4, 0
Let r(v) be the first derivative of 9*v**5 - 1655*v**4/4 - 7750*v**3/3 - 820*v**2 + 2533. Suppose r(j) = 0. What is j?
-4, -2/9, 0, 41
Let d be ((-84)/(-63))/((-8)/(-1812)). Let s = -302 + d. Factor -2/5*h**2 + 0 + s*h.
-2*h**2/5
Let u(f) = -4*f**3 - 4*f**2 - 5*f + 1. Let r be u(-2). Solve -14*i**3 + 24*i**4 - 56*i**4 - 50*i - 85*i**2 - 26*i**3 + r*i**4 = 0.
-5, -2, -1, 0
Let j(l) be the third derivative of 9/40*l**5 + 19*l**2 + 3/8*l**4 + 0*l + 0 + 1/4*l**3. Factor j(z).
3*(3*z + 1)**2/2
Let p = -320723/4 + 2886515/36. Let -28/9*l - p*l**4 + 0 + 4/3*l**3 + 2*l**2 = 0. What is l?
-2, 0, 1, 7
Let i(f) be the second derivative of f**4/30 - 4*f**3/5 + 32*f**2/5 - f - 19. Find z, given that i(z) = 0.
4, 8
Let a be (48/(-140))/((-143)/715). Let n be (40/35)/(1/2). Factor a*x + n - 4/7*x**2.
-4*(x - 4)*(x + 1)/7
Let k = -226 + 228. Let q(a) = -5*a**3 + 172*a**2 - 343*a + 172. Let t(l) = -16*l**3 + 515*l**2 - 1031*l + 518. Let r(j) = k*t(j) - 7*q(j). Factor r(b).
3*(b - 56)*(b - 1)**2
Factor 68 - 1/5*t**3 - 168/5*t - 171/5*t**2.
-(t - 1)*(t + 2)*(t + 170)/5
Let j(o) = -3*o**2 + 220*o - 26. Let y(v) = 3*v**2 - 252*v + 25. Let a(b) = -7*j(b) - 6*y(b). Let a(t) = 0. What is t?
4/3, 8
Determine h, given that 45*h**3 + 252*h - 33*h - 2036569*h**2 + 3*h**4 + 90 + 2036740*h**2 = 0.
-10, -3, -1
Suppose -143 = -8*s - 119. Let u(m) be the first derivative of -5/4*m**4 + 0*m**2 + 0*m + 10/3*m**s - 14. Factor u(i).
-5*i**2*(i - 2)
Suppose -7*l = 33*l - 360. Solve 22*v**3 + 7*v**3 - 56*v**3 + l*v**3 + 3*v**4 - 27*v**2 + 42*v = 0 for v.
-2, 0, 1, 7
Factor -174*y + 1026 + 2/3*y**2 + 2/3*y**3.
2*(y - 9)**2*(y + 19)/3
Let g be -3 - (284 + 3) - (-108)/18. Let p = 288 + g. Factor 3/4*n**2 + 0 - 1/4*n**p + 0*n**3 + 1/2*n.
-n*(n - 2)*(n + 1)**2/4
Find t, given that -224/19*t**2 + 6696/19*t + 2/19*t**3 - 23328/19 = 0.
4, 54
Let p(i) be the second derivative of -3*i**4/4 + 25*i**3/2 + 120*i. Let g(t) = -100*t**2 + 825*t. Let f(l) = -4*g(l) + 45*p(l). Let f(k) = 0. Calculate k.
0, 15
Let n(z) be the second derivative of 5*z**4/24 - 55*z**3/2 - 170*z**2 + 613*z. Solve n(b) = 0.
-2, 68
Let i(d) be the second derivative of d**4/16 - 2525*d**3/4 + 19126875*d**2/8 + d + 1141. What is u in i(u) = 0?
2525
Factor -170/7*q - 1/7*q**2 + 696/7.
-(q - 4)*(q + 174)/7
Let o(i) = 917 + 18*i**2 + 86*i - 23 - 19*i**2 - 97. Let g(y) = 4*y**2 - 428*y - 3986. Let q(j) = 6*g(j) + 28*o(j). Factor q(k).
-4*(k + 20)**2
Let y = -177 + 177. Let d(o) be the first derivative of 1/10*o**4 + 1/15*o**6 + 0*o + 4/25*o**5 + y*o**3 + 0*o**2 + 14. Find q such that d(q) = 0.
-1, 0
Let l = -27 - -30. Suppose 15 = 19*i - 42. Factor 4*j - i*j**3 - 38*j**2 + 7*j**l + 28*j**2 + 18*j**2.
4*j*(j + 1)**2
Let u(d) be the third derivative of d**8/1176 + 2*d**7/245 - d**6/420 - 19*d**5/105 + 32*d**3/21 + 4*d**2 - 127*d. Suppose u(r) = 0. Calculate r.
-4, -1, 1, 2
Let r(s) be the second derivative of s**8/33600 - s**7/1400 + 7*s**6/1800 + 5*s**4/12 - s**2/2 + 81*s. Let l(y) be the third derivative of r(y). Factor l(h).
h*(h - 7)*(h - 2)/5
Find y, given that -3921*y + 4*y**2 + 15867*y - 10695*y - 13867*y + 9947716 = 0.
1577
Suppose -54 = 5*r - 1249. Suppose r*s - 131*s = 120*s. Factor 2/9*f**3 + 0*f**2 + s - 2/9*f.
2*f*(f - 1)*(f + 1)/9
Factor -2*v**3 + 1202*v**2 - 1280*v**2 - 3*v**3 - 2542*v**2.
-5*v**2*(v + 524)
Let b(g) = g**2 - 3*g - 7. Let d be b(8). Let h = -25 + d. Suppose 2*r**2 + 4*r**3 + 20*r - 11*r**2 - h - 9*r**2 + 2*r**2 = 0. Calculate r.
1, 2
Let t = -453/775 - -7559/2325. Factor -1/6*x**2 - t*x - 14/3.
-(x + 2)*(x + 14)/6
Let q = -5326199/600 + 8877. Let b(h) be the third derivative of 0 + 0*h - 1/1050*h**7 + 6*h**2 - 1/15*h**3 - 1/120*h**4 + q*h**6 + 1/100*h**5. Factor b(v).
-(v - 2)*(v - 1)*(v + 1)**2/5
Factor -4 + 9*u**2 + 4*u**3 + 428*u - 336 - 101*u**2.
4*(u - 17)*(u - 5)*(u - 1)
Factor 4*m**2 - 4*m**4 + 218 + 75862*m**3 - 28*m - 75834*m**3 - 218.
-4*m*(m - 7)*(m - 1)*(m + 1)
Let s(b) be the second derivative of 5*b**4/12 - 5*b**3 - 275*b**2/2 - 44*b - 4. Factor s(f).
5*(f - 11)*(f + 5)
Suppose -16*h = -14*h - 8. Factor -106*v**h - 5*v**5 + 66*v**4 - 48*v**3 - 30*v**2 - 50*v**3 + 33*v**3.
-5*v**2*(v + 1)**2*(v + 6)
Let i be (-3)/(17 - 5) - 375/(-12). Determine m, given that 30*m + 7 - 12*m**2 + 5 + 3 - 2*m**3 - i = 0.
-8, 1
Factor 8*i + 1/5*i**2 + 111/5.
(i + 3)*(i + 37)/5
Suppose 5*g = 15, -3*b + 5*g = -34 - 20. Factor -14*m**2 + 38*m**2 + 8*m - b*m**2.
m*(m + 8)
Suppose -7959*i + 7958*i + 60 = 3*y, 3*i - 3*