 -3)) + -2. Determine m, given that -2*m**5 - 2*m**3 + 2*m**a - t*m**4 + 8*m**5 - 4*m**5 = 0.
-1, 0, 1
Determine w, given that 55/2*w - 15/4*w**2 + 925/4 = 0.
-5, 37/3
Let 66*l**2 - 67*l**2 + 54 - 40*l + 43*l = 0. Calculate l.
-6, 9
Let w be (((-3180)/(-396) + -8)*-6)/((-1)/2). Suppose 0*m + 2/11*m**5 + 0 + 0*m**3 + w*m**4 + 0*m**2 = 0. What is m?
-2, 0
Suppose 15678*o - 1/2*o**4 + 18252 - 2649*o**2 - 151/2*o**3 = 0. Calculate o.
-78, -1, 6
Let f(z) = z**3 - z**2 - 3*z - 1. Let w(j) = -4*j**5 + 420*j**4 + 8*j**3 - 1264*j**2 + 852*j + 4. Let l(q) = 4*f(q) + w(q). Find h, given that l(h) = 0.
-2, 0, 1, 105
Suppose 13390*r**5 - 16 - 14020*r**5 + 270*r**3 + 1436*r**4 - 964*r**2 - 456*r**2 + 360*r = 0. Calculate r.
-1, 2/35, 2/9, 1, 2
Let c = 154 - 34. Factor -14*g**2 - 29*g**2 - 20*g**2 - 8*g - c*g**3 - 11*g**4 + 27*g**4.
g*(g - 8)*(4*g + 1)**2
Let p(c) be the second derivative of -c**9/12096 + c**8/1680 - c**7/840 - 25*c**3/3 - 12*c - 1. Let l(g) be the second derivative of p(g). Factor l(s).
-s**3*(s - 2)**2/4
Let q(s) be the second derivative of 9*s**5/4 - 20*s**4/3 - 155*s**3/6 - 15*s**2 + 85*s + 2. Determine r so that q(r) = 0.
-1, -2/9, 3
Solve -23*h**2 - 605 + 52*h**2 + 93*h**3 - 12*h**2 + 11*h - 92*h**3 = 0 for h.
-11, 5
Factor 76 + 1/3*q**2 - 61/3*q.
(q - 57)*(q - 4)/3
Let r(a) = -8*a**2 - 74*a - 455. Let d(n) = 5*n**2 + 38*n + 227. Let v(j) = -5*d(j) - 3*r(j). Let o be v(38). Let -4/5*w**o - 8/5*w + 12/5 = 0. Calculate w.
-3, 1
Suppose 0 = h + h + 4*l - 28, 5*h = -2*l + 30. Suppose -12*x = h*x - 1472. Factor 5*j**2 + 7*j**2 + x*j**5 - 10*j**3 + 15*j - 2*j**2 - 97*j**5 + 5 - 15*j**4.
-5*(j - 1)*(j + 1)**4
Let w be (31/(-124))/(1/1308). Let z = 327 + w. Factor 5/2*x**3 - 3*x**2 + z + 1/2*x.
x*(x - 1)*(5*x - 1)/2
Let b(z) = -2*z**4 + z**2 - 2*z - 2. Let q(w) = -12*w**4 - 148*w**3 + 1436*w**2 - 1420*w - 21400. Let k(n) = 8*b(n) - q(n). Factor k(i).
-4*(i - 22)*(i - 9)**2*(i + 3)
Let i(x) = 4*x**4 + 78*x**3 + 100*x**2 - 175*x + 7. Let r(p) = 14*p**4 + 272*p**3 + 350*p**2 - 612*p + 24. Let c(l) = -24*i(l) + 7*r(l). Solve c(d) = 0 for d.
-14, -3, 0, 1
Let l(r) be the second derivative of -5*r**7/42 + 15*r**6/2 + 47*r**5/2 + 5*r**4/6 - 155*r**3/2 - 235*r**2/2 - 95*r + 7. Find s such that l(s) = 0.
-1, 1, 47
Let k(j) be the second derivative of j**4/48 - 75*j**3/4 + 449*j**2/8 + 124*j - 54. Factor k(i).
(i - 449)*(i - 1)/4
Let l(y) be the third derivative of -y**8/504 - 118*y**7/315 - 259*y**6/15 + 11036*y**5/45 - 7688*y**4/9 - 5*y**2 - 302*y + 2. What is k in l(k) = 0?
-62, 0, 2, 4
Let b = 84395/3 - 28779. Let x = b + 648. What is d in x*d + 1/3*d**2 - 8/3 = 0?
-4, 2
Let r(z) be the third derivative of -z**9/120960 + z**8/10080 - z**7/3360 - z**5 + 2*z**2 - 5*z. Let p(j) be the third derivative of r(j). Solve p(u) = 0 for u.
0, 1, 3
Let b = -1077 - -1187. Let p be (-10)/(b/27) - (-21)/7. Factor -2/11*k**3 - p*k**4 + 4/11*k**2 + 0 + 0*k.
-2*k**2*(k + 1)*(3*k - 2)/11
Let d(b) = -3*b - 14. Let c = -1 + -5. Let f be d(c). Solve j**5 - 11*j**f - j**3 + 5*j**4 + 2*j**3 + 8*j**4 = 0.
-1, 0
Let v = -4800/533 + 202165/20787. Let h = -9/169 + v. Find k such that 1/6*k**4 + h*k + k**2 + 2/3*k**3 + 1/6 = 0.
-1
Suppose -202*k = -204*k - 5*c - 30, -c = 2*k + 6. Factor k*o**3 + 4/5*o - 6/5*o**2 + 2/5*o**4 + 0.
2*o*(o - 1)**2*(o + 2)/5
Let s(r) be the third derivative of 41/4*r**6 + 164*r**2 - 1435/6*r**4 + 0 - 1597/12*r**5 - 3/14*r**7 - 490/3*r**3 + 0*r. Factor s(b).
-5*(b - 14)**2*(3*b + 1)**2
Factor -24 + 3*n**4 + 10*n - 6*n**2 - 2834*n**3 + 2843*n**3 - 46*n.
3*(n - 2)*(n + 1)*(n + 2)**2
Let s be 18/(-12)*9/(-6)*24. Suppose 20 = 37*c - s. Factor -39/5*w**c - 3/5*w**4 + 36/5*w + 18/5*w**3 - 12/5.
-3*(w - 2)**2*(w - 1)**2/5
Solve -19360*c - 2/5*c**5 - 688*c**3 - 28*c**4 - 85184/5 - 6688*c**2 = 0 for c.
-22, -2
Let a be (-10 + 12)/((-4)/(-8)). Find i, given that -31*i - 24 - 44*i - a*i**3 + 71*i + 16*i**2 = 0.
-1, 2, 3
Let g be (-21)/(-35) + (-608)/(-20). Factor -864*c + 576*c**2 + 8154*c**4 - 49*c**3 + 1728 - 8150*c**4 - g*c**3 - 864*c.
4*(c - 6)**3*(c - 2)
Let i(h) be the first derivative of 5*h**3/3 + 560*h**2 + 62720*h - 196. Suppose i(z) = 0. What is z?
-112
Factor 0 + 0*h + 243/5*h**2 - 12/5*h**4 + 231/5*h**3.
-3*h**2*(h + 1)*(4*h - 81)/5
Let j(p) be the second derivative of 2*p**7/147 + 8*p**6/35 + 8*p**5/5 + 6*p**4 + 90*p**3/7 + 108*p**2/7 - 2*p + 779. Let j(u) = 0. Calculate u.
-3, -2, -1
Let z(i) be the second derivative of i**6/285 - 229*i**5/190 - 463*i**4/114 + 229*i**3/57 + 462*i**2/19 - 218*i - 9. What is b in z(b) = 0?
-2, -1, 1, 231
Let c be (64/(-40)*25/(-2))/((-36)/828*-69). Suppose 32/3 - c*h + 2/3*h**2 = 0. Calculate h.
2, 8
Suppose -96*d - 103*d = -198*d. Let y(r) be the second derivative of 0 + d*r**2 + 1/9*r**4 + 28*r + 0*r**3. Factor y(j).
4*j**2/3
Let 9*h**3 + 2867*h**4 - 2*h**2 - 5732*h**4 + 2870*h**4 + 12*h**2 + 6*h**3 = 0. What is h?
-2, -1, 0
Let b(x) be the first derivative of -x**4/6 - 2*x**3/3 + 4*x**2/3 + 9197. Solve b(q) = 0 for q.
-4, 0, 1
Let c(w) be the third derivative of 0*w - 120*w**3 - 110*w**2 + 11/12*w**6 - 97/12*w**5 + 0 - 55*w**4 - 1/42*w**7. Solve c(y) = 0 for y.
-1, 12
Let h(r) = 65*r**2 - 3565*r - 15150. Let g(a) = -9*a**2 + 510*a + 2164. Let u(b) = 15*g(b) + 2*h(b). Find j, given that u(j) = 0.
-4, 108
Let o(u) be the second derivative of u**5/90 - 67*u**4/18 - 272*u**3/9 - 820*u**2/9 + 1478*u. Let o(z) = 0. Calculate z.
-2, 205
Let t(v) be the second derivative of -v**6/210 + v**5/20 + 25*v**4/84 - 151*v**3/42 + 60*v**2/7 + 287*v - 4. Solve t(x) = 0 for x.
-5, 1, 3, 8
Let g(m) be the second derivative of 5*m**7/252 - 7*m**6/12 + 41*m**5/8 - 415*m**4/72 - 260*m**3/3 - 165*m**2 - 725*m. Solve g(c) = 0.
-1, 6, 11
Let f(o) = -8*o**2 - 2*o. Let u be 85 + -80 - (9 - 2). Let i(j) = 39*j**2 - j**3 - 8*j**3 + 10*j**3 + 11*j. Let z(d) = u*i(d) - 11*f(d). Factor z(r).
-2*r**2*(r - 5)
Let y(f) be the second derivative of 0 + 0*f**2 - 6/25*f**5 - 3/5*f**4 + 156*f - 2/75*f**6 - 8/15*f**3. Factor y(s).
-4*s*(s + 1)**2*(s + 4)/5
Let s(j) be the third derivative of 7*j**6/120 + 67*j**5/60 + 67*j**4/12 + 28*j**3/3 + 8*j**2 + 71. Factor s(b).
(b + 2)*(b + 7)*(7*b + 4)
Let j(w) be the first derivative of -w**5/180 - w**4/72 - 107*w**2/2 - 67. Let k(p) be the second derivative of j(p). Let k(d) = 0. What is d?
-1, 0
Let y(s) = 2*s**2 - 14*s - 12. Let d be y(8). Let i(k) be the first derivative of 1/4*k**5 - 45/2*k - 105/8*k**2 + 25/16*k**d + 5 + 5/12*k**3. Factor i(n).
5*(n - 2)*(n + 1)*(n + 3)**2/4
Let s(h) be the first derivative of -907924/5*h - 259 - 22326/5*h**2 - 244/5*h**3 - 1/5*h**4. Factor s(d).
-4*(d + 61)**3/5
Let y = -5948/3 + 9921/5. Let d(j) be the first derivative of -4/15*j + y*j**2 - 13 - 14/15*j**3. Factor d(k).
-2*(k - 1)*(21*k - 2)/15
Let d(c) be the third derivative of 0 + 1/126*c**4 + 1/21*c**3 - 26*c - 1/630*c**5 - c**2. Factor d(a).
-2*(a - 3)*(a + 1)/21
Let j be ((-33)/(-28) + (-4)/(-16))/(18 - 10127/574). Factor 1/5*w**j - 44/5 - 47/5*w**2 - 6/5*w**3 - 84/5*w.
(w - 11)*(w + 1)*(w + 2)**2/5
Suppose -4*o - 4*z = -2103 + 2055, 0*z + z = 3*o. Factor -36*l**o + 27/4*l**4 - 48*l + 12 + 66*l**2.
3*(l - 2)**2*(3*l - 2)**2/4
Let m(n) = 23*n**3 - 6*n**2 - 120*n - 184. Let g(q) = 51*q**3 - 12*q**2 - 240*q - 366. Let b(v) = 4*g(v) - 9*m(v). What is l in b(l) = 0?
-4, -2, 8
Determine b, given that -2/5*b**5 + 0*b + 0*b**4 + 4/5*b**2 + 6/5*b**3 + 0 = 0.
-1, 0, 2
Let r(m) be the third derivative of -312*m**2 + 0*m + 0*m**3 - 1/6*m**5 - 1/72*m**6 + 0 + 0*m**4. Determine w so that r(w) = 0.
-6, 0
Let n = 38 + -33. Let o be -1 + 3 - 0 - -2. What is t in -7*t**3 + 2*t + 0*t**5 + 2*t**5 + 3*t**o + 3*t**n - 3*t**2 = 0?
-1, 0, 2/5, 1
Let u = 5560 + -5542. Let t(d) be the second derivative of 4/3*d**3 - d**4 + 0 + 1/5*d**5 - u*d + 0*d**2. Suppose t(l) = 0. Calculate l.
0, 1, 2
Let c(x) be the third derivative of x**5/540 - 2749*x**4/216 + 11329*x**2. Let c(v) = 0. What is v?
0, 2749
Let m(l) be the third derivative of -l**5/12 + 79*l**4/24 + 8*l**3/3 - 156*l**2. Factor m(f).
-(f - 16)*(5*f + 1)
Let o(v) be the second derivative of -20/21*v**3 + 0 + 1/42*v**4 + 19/7*v**2 - 168*v. Factor o(c).
2*(c - 19)*(c - 1)/7
Let b be 496/2604 + (-590)/(-210). Factor b*j + 0 - 3/2*j**3 - 3/2*j**2.
-3*j*(j - 1)*(j + 2)/2
Let d = 73 - 71. 