/3 + 578*b**2 - b. Determine p so that r(p) = 0.
-1, 1, 3, 10
Factor -272/5*o**2 + 4/5*o**3 - 5760 + 1104*o.
4*(o - 30)**2*(o - 8)/5
Let v(b) = -8*b + 157. Let g be v(19). Let c(n) = 4*n**3 + 7*n**2 + 3*n - 6. Let t(x) = -x**2 - 1. Let p(s) = g*c(s) - 30*t(s). Factor p(f).
5*f*(f + 3)*(4*f + 1)
Let r(v) = 45*v**2 + 752*v + 876. Let i(s) = -21*s**2 - 375*s - 432. Let m(w) = -13*i(w) - 6*r(w). Factor m(g).
3*(g + 1)*(g + 120)
Let y(l) be the first derivative of l**3/21 - 3*l**2/2 + 68*l/7 - 560. Find x, given that y(x) = 0.
4, 17
Let o = -66 - -88. Factor -66*s**3 + 11*s**4 - 48*s + 10*s - o*s + 123*s**2 - 8*s**4.
3*s*(s - 20)*(s - 1)**2
Let r(v) be the third derivative of v**6/160 + 2*v**5/5 + 115*v**4/32 + 21*v**3/2 + 3337*v**2. Factor r(a).
3*(a + 1)*(a + 3)*(a + 28)/4
Let l(z) be the first derivative of -1/27*z**6 + 192*z + 48*z**2 - 32/3*z**3 - 20/9*z**4 - 20 + 28/45*z**5. Solve l(r) = 0 for r.
-2, 6
Let c be (-8 - 0)*10*(-10)/50. Suppose -6 = -q - l, 2*l = c*q - 21*q + 24. What is s in -9/2 + 39/4*s - q*s**3 - 2*s**2 = 0?
-2, 3/4
Let o(j) be the third derivative of j**2 - 108 + 0*j - 1/45*j**5 + 1/9*j**4 - 2/9*j**3. Determine m so that o(m) = 0.
1
Determine n so that 0 - 2818/7*n**3 + 704/7*n - 10/7*n**5 - 348/7*n**2 - 1776/7*n**4 = 0.
-176, -1, 0, 2/5
Let w = -239444 - -1197274/5. Solve w*r - 2/5*r**2 + 0 = 0.
0, 27
Suppose 695 = -15*x + 185. Let g be x/(-18) - 4/(-36). Find l, given that -1/5*l**g - 2/5*l + 0 = 0.
-2, 0
Factor -1036/3 - 44*t**2 - 390*t + 2/3*t**3.
2*(t - 74)*(t + 1)*(t + 7)/3
Factor -4183*q + 9*q**2 + 4183*q + 97*q**4 - 98*q**4.
-q**2*(q - 3)*(q + 3)
Let t be (-6678)/424*6*(-2)/18. Determine m so that 0 - 9*m - 3/2*m**3 - t*m**2 = 0.
-6, -1, 0
Let z(l) be the third derivative of l**7/1470 - l**6/420 - l**5/140 + l**4/42 + 2*l**3/21 + 1079*l**2. Factor z(v).
(v - 2)**2*(v + 1)**2/7
Let h = 83 + -67. Let -c**3 - 13*c**2 + h*c**2 - 8*c**3 - 12*c**4 = 0. Calculate c.
-1, 0, 1/4
Let i(d) be the third derivative of 0*d - 1/30*d**5 - 10*d**3 - 11/12*d**4 + 0 - 265*d**2. Factor i(t).
-2*(t + 5)*(t + 6)
Let z(t) be the second derivative of -t**6/10 + 1131*t**5/20 + 3820*t. Factor z(c).
-3*c**3*(c - 377)
Let l(r) = r**2 - 1. Let y(n) = -3*n**2 + 5. Let s(m) = -4*l(m) - y(m). Let j(t) = 6*t**2 + 13*t + 7. Let o(k) = -j(k) - 3*s(k). Factor o(w).
-(w + 4)*(3*w + 1)
Let y = -94171 + 160655. Factor 5*n**2 + y*n - 66524*n - n**2.
4*n*(n - 10)
Suppose -52 = 8*h + 12. Let c be (-145)/(-58)*h/(-30). Suppose -c*y + 0 - y**3 + 1/3*y**5 + 1/3*y**4 - 5/3*y**2 = 0. Calculate y.
-1, 0, 2
Let s = 991/185 - -9/37. Let b be 51/(-30)*426/(-213). Factor -b*k**3 + 34/5*k**2 + 8/5 + 3/5*k**4 - s*k.
(k - 2)**2*(k - 1)*(3*k - 2)/5
Find o, given that -3422*o**2 - 544 + 1401*o**3 - 478*o**3 - 317*o**3 - 10*o**5 - 66*o**4 + 952*o**3 - 840*o + 3324*o = 0.
-17, 2/5, 1, 8
Let i(n) be the second derivative of -n**6/6 - 7*n**5/2 + 725*n**4/12 + 1295*n**3/3 + 900*n**2 - 319*n. Find j, given that i(j) = 0.
-20, -2, -1, 9
Let v(i) be the first derivative of i**5/40 + 11*i**4/24 - i**3/12 - 11*i**2/4 - 64*i + 73. Let z(a) be the first derivative of v(a). Factor z(x).
(x - 1)*(x + 1)*(x + 11)/2
Let r(d) be the first derivative of 4*d**6/21 + 2*d**5/7 - 3*d**4/14 - 10*d**3/21 - d**2/7 - 63. Suppose r(q) = 0. Calculate q.
-1, -1/4, 0, 1
Let m(q) be the second derivative of 13*q**7/14 + 49*q**6/2 + 147*q**5/5 - 9*q**4 - 180*q + 2. What is v in m(v) = 0?
-18, -1, 0, 2/13
Let z(o) = 2*o**3 - 39*o**2 + 64*o - 43. Let x be z(18). Solve 37*v**4 + 146*v**5 - x*v**5 + 21*v**3 - 16*v**4 - 51*v**2 - 18*v + 18*v**4 = 0.
-3, -2, -1/3, 0, 1
Let o be (-3)/5 - 16/120*-27. Factor -99*f**o - 2*f**4 + 208*f**3 - 105*f**3 - 2*f**2.
-2*f**2*(f - 1)**2
Let z(v) be the second derivative of v**6/75 + 133*v**5/50 - 7*v - 30. Determine p, given that z(p) = 0.
-133, 0
Let i(x) be the third derivative of x**8/252 - 46*x**7/315 + 98*x**6/45 - 764*x**5/45 + 680*x**4/9 - 1792*x**3/9 - 7758*x**2. Determine z so that i(z) = 0.
2, 4, 7, 8
Let k(g) be the first derivative of -41 - 144*g - 4/3*g**3 - 24*g**2. Factor k(v).
-4*(v + 6)**2
Let v(n) be the first derivative of n**4/4 + 373*n**3 + 156240*n**2 - 313600*n + 3941. Factor v(j).
(j - 1)*(j + 560)**2
Let d(k) be the first derivative of -k**4/4 + 5*k**3 - 259*k - 63. Let r(f) be the first derivative of d(f). Suppose r(i) = 0. What is i?
0, 10
Let o(z) = 4 + 0 - 3 + 0 + z**3. Let a(f) = -f**3 + 6*f**2 + 8*f - 2. Let p(m) = -3*a(m) - 6*o(m). Let p(t) = 0. Calculate t.
-4, -2, 0
Let u = -400503/5 + 80101. Suppose -u - 169/10*y**2 - 26/5*y = 0. Calculate y.
-2/13
Let x(z) be the third derivative of -8*z**4 + 0*z**3 + 0 + 12*z - 1/15*z**5 - 3*z**2. Suppose x(n) = 0. What is n?
-48, 0
Let w = 31230 + -31228. Let l(x) = -x + 7. Let i be l(5). Factor -5/12*u**3 - 7/4*u**w - 1/3 - i*u.
-(u + 2)**2*(5*u + 1)/12
Let n(g) = 3*g - 1. Let h be n(7). Factor h + 3*l**2 + 6 - 2 + 27*l.
3*(l + 1)*(l + 8)
Let h be 24/9*(-45)/(-15)*(-3)/(-6). Factor 5/2*o**3 - 1/2*o**2 - 3/4*o**h + 5/4 - 1/4*o**5 - 9/4*o.
-(o - 1)**3*(o + 1)*(o + 5)/4
Let j be (-584)/60 + 10 + 2 + 8/(-5). Let y(u) be the first derivative of -25 - 4/9*u**3 - j*u**2 + 8*u. What is t in y(t) = 0?
-3, 2
Suppose 2059*q + 2358*q - 13788 = -1716*q - 761*q. Find t such that 121/4 + 11/2*t + 1/4*t**q = 0.
-11
Let q = 1/33735 - 1734013/1146990. Let z = 3/34 - q. Factor -z*o - 4/5*o**4 + 0*o**3 + 0 + 12/5*o**2.
-4*o*(o - 1)**2*(o + 2)/5
Let l(r) be the first derivative of r**6/30 + r**5/6 + r**4/3 + r**3/3 + r**2/6 - 58*r + 131. Let z(c) be the first derivative of l(c). Factor z(y).
(y + 1)**3*(3*y + 1)/3
Let n(q) be the second derivative of 27*q**5/80 - 35*q**4/16 + 13*q**3/4 + 949*q - 3. Solve n(p) = 0.
0, 1, 26/9
Let r(s) be the third derivative of 2 + 4/15*s**5 - 1/2*s**4 + 0*s - 1/30*s**6 + 95*s**2 + 0*s**3. Determine h so that r(h) = 0.
0, 1, 3
Factor 54/7*k - 52/7*k**2 + 0 - 2/7*k**3.
-2*k*(k - 1)*(k + 27)/7
Let b(g) be the third derivative of -g**6/60 + g**5/6 + 97*g**4/12 + 91*g**3/3 - 727*g**2. Factor b(m).
-2*(m - 13)*(m + 1)*(m + 7)
Let g = -900 + 903. Let h be 36/14*(-98)/(-56). Let -45/2*s**2 + 87/4*s + 21/4*s**g - h = 0. Calculate s.
2/7, 1, 3
Factor -1236*u**3 - 209803584*u + 763848*u**2 + 3/4*u**4 + 21609769152.
3*(u - 412)**4/4
Let m(x) be the third derivative of x**5/20 + 67*x**4/8 + 65*x**3 + 991*x**2. Determine b, given that m(b) = 0.
-65, -2
Let m = 121418 + -1218413/10. Let g = m + 849/2. Determine w so that 0*w + g*w**4 + 0 + 2*w**3 - 18/5*w**5 + 2/5*w**2 = 0.
-1/3, 0, 1
Let o = -1746/19 + 39309/380. Let t = -43/4 + o. What is l in 4/5*l + 12/5*l**2 + 0 + t*l**4 - 3*l**3 = 0?
-1/4, 0, 2
Suppose -3*n + 3*v = -13 + 1, 5*n = v + 28. Determine a, given that 5414*a**4 + 15*a**2 + n*a**3 - 5409*a**4 + 14*a**3 = 0.
-3, -1, 0
Suppose 910*s = -989*s. What is i in s - 2/5*i**4 + 16/5*i - 24/5*i**2 + 12/5*i**3 = 0?
0, 2
Let l(p) be the second derivative of 7/6*p**3 - 9*p**2 + 14*p + 1/12*p**4 + 1. Suppose l(v) = 0. What is v?
-9, 2
Let f = -323 - -327. Find l such that 2*l**4 + 9*l**2 - 33*l**2 + 6*l + 4*l**3 - 2*l**5 + f*l**4 + 10*l = 0.
-2, 0, 1, 2
Suppose 3*q = -3*u - 6, -21*q + 4*u = -22*q - 17. Let l(y) be the third derivative of 1/2*y**4 + 0*y + 1/40*y**6 + 1/5*y**5 - 4*y**2 + 0 + 0*y**q. Factor l(m).
3*m*(m + 2)**2
Let j(f) be the first derivative of 3*f**5/100 - 3*f**4/20 + f**3/5 + 61*f + 37. Let h(m) be the first derivative of j(m). Factor h(d).
3*d*(d - 2)*(d - 1)/5
Let c(x) = 20*x + 74. Let s be c(-4). Let t(h) = h**3 + 3*h**2 - 17*h + 8. Let i be t(s). Solve 1/6*v**i - 1/3*v + 0 = 0 for v.
0, 2
What is p in 8*p**2 - 179/11*p + 6/11 = 0?
3/88, 2
Let f be -8 + (-11 + 22 - 1). Suppose t - 5*v + 8 = 0, -f*t + 1 = 2*v - 7. Factor 6/7*j**4 - 2*j**3 - 4/7 + 6/7*j + 6/7*j**t.
2*(j - 1)**3*(3*j + 2)/7
Let s be (-1)/(-3)*(7 + -7). Let x be 8 - (s/(-6) - -6). Factor 4/9*a + 0 + 2/9*a**x.
2*a*(a + 2)/9
Let s(p) be the second derivative of -p**4/12 + 433*p**3/6 + 874*p**2 - 60*p + 22. Solve s(c) = 0 for c.
-4, 437
Suppose -p = 3*p + 5*j - 840, -2*p + 5*j = -420. Let y = p + -138. Factor y*b + 4*b**2 + 78*b - 141*b - b**2.
3*b*(b + 3)
Factor -186*c**2 + 347*c**2 - 176*c**2 - 33*c - 12 + 6*c**3.
3*(c - 4)*(c + 1)*(2*c + 1)
Let o(l) be the second derivative of 5*l**4/12 - 170*l**3 + 1010*l**2 + 82*l