 385 = 349. Suppose 0*i - 4*i + 3*i**n - 5*i + 0*i - o = 0. What is i?
-1, 4
Let a(z) be the third derivative of z**6/24 - 3*z**5 - 5*z**4/6 + 120*z**3 + 6*z**2 + 34*z. Find b, given that a(b) = 0.
-2, 2, 36
Find o, given that 2152/3 + 3226/3*o - o**2 = 0.
-2/3, 1076
Let r(k) be the second derivative of k**4/4 - 298*k**3 + 6*k + 213. Solve r(a) = 0 for a.
0, 596
Let k be -3 + (-28962)/90 + 2/15. Let l = k - -326. Solve -4/3*v + l + 1/3*v**2 = 0.
2
Suppose 0 = -5*b + 5*m + 40, 2*b + 161 - 183 = 3*m. Determine l, given that -1/6*l**3 + 2/3*l**b - 1/6*l - 1 = 0.
-1, 2, 3
Let u(z) = -z**2 + 19*z - 30. Let c be u(17). Suppose l + 4*h = c, 2*h - 2 = -0*h. Factor -1/2*s**3 + 1/2*s + 0 + l*s**2.
-s*(s - 1)*(s + 1)/2
Let r be (-4665)/(-75) - 58 - (-2 + 4)/(-2). Factor 1/5*h**2 - 11/5*h - r.
(h - 13)*(h + 2)/5
Let h = -171 - -175. Factor h*s**2 + 5*s + 36*s**2 + 5*s**2 - s**3 - 45 - 4*s**3.
-5*(s - 9)*(s - 1)*(s + 1)
Let d be (16/36)/(8/6)*51. Factor 65 - 312*s + 2487*s**2 - 1980*s**2 - d.
3*(13*s - 4)**2
Let r = 1053 + -1051. Suppose 0 = -6*t + t - r*a, 2*t - a = 9. Factor -4/5*z**t + 0*z + 4/5.
-4*(z - 1)*(z + 1)/5
Let i(b) be the first derivative of b**5/5 - 11*b**4/4 + 5*b**3 + 27*b**2/2 + 1383. Factor i(d).
d*(d - 9)*(d - 3)*(d + 1)
Let r(t) = 10*t**4 + 21*t**3 - 132*t**2 + 100*t - 16. Let x(h) = -9*h**4 - 22*h**3 + 132*h**2 - 102*h + 16. Let l(i) = 5*r(i) + 4*x(i). Solve l(w) = 0.
-4, 2/7, 1/2, 2
Find l such that 63*l + 68*l - 29*l**2 - 131*l - 8*l**3 + 27*l**2 - 6*l**4 = 0.
-1, -1/3, 0
Let u(y) be the third derivative of -5*y**8/336 - 16*y**7/21 - 313*y**6/24 - 463*y**5/6 - 1295*y**4/6 - 980*y**3/3 + 148*y**2. Let u(a) = 0. Calculate a.
-14, -2, -1
Suppose 0 = 9*x + 8*x - 4*x - 3*x. Let g(c) be the third derivative of -5/6*c**3 + 44*c**2 + 0 + 1/40*c**5 + x*c + 13/48*c**4. Factor g(s).
(s + 5)*(3*s - 2)/2
Let c(o) = -9*o**2 - 426*o - 876. Let l(d) = -17*d**2 - 854*d - 1750. Let y(v) = 11*c(v) - 6*l(v). Factor y(q).
3*(q + 2)*(q + 144)
Let w(z) be the second derivative of -17*z**5/80 - 3*z**4/4 + 11*z**3/2 + 2*z**2 - 4910*z. Find f such that w(f) = 0.
-4, -2/17, 2
Determine t, given that 93/5*t**2 - 2/5*t - 124/5 - 1/10*t**4 - 59/10*t**3 = 0.
-62, -1, 2
Let y be 7/(-210)*4*(-33)/44. Let g(q) be the second derivative of 9*q**2 + 7/6*q**4 - 5*q**3 + 0 - y*q**5 + 16*q. Determine n so that g(n) = 0.
1, 3
Determine w, given that 4/3*w**2 - 2484 - 824*w = 0.
-3, 621
Let h = 63172738/4615 + -355819/26. Let t = h + -3/142. Factor 2/15*a**2 + t*a + 96/5.
2*(a + 12)**2/15
Determine i so that 12*i - 3/4*i**2 + 3/4*i**4 - 9 - 3*i**3 = 0.
-2, 1, 2, 3
Determine g so that -117/4*g - 735/2 + 3/4*g**2 = 0.
-10, 49
Let l(z) be the first derivative of 18/5*z**5 + 12 - 1/2*z**6 - 21/2*z**4 - 27/2*z**2 + 6*z + 16*z**3. Factor l(a).
-3*(a - 2)*(a - 1)**4
Let m be 705/(-183) - -2*(0 - -2). Let v = m + 461/183. Suppose -5/3*z**2 + 1/3*z**3 - 4/3 + v*z = 0. What is z?
1, 2
Suppose -4*b + 150 = -54. Let h = -49 + b. Let -141*o**4 + 18*o**h - 15*o**3 + 14*o**2 + 39*o**3 + 4*o - 19*o**4 + 100*o**5 = 0. Calculate o.
-1/5, 0, 1
Let v(l) = 2866*l - 25791. Let i be v(9). Let 298/3*w**i - 130/3*w**4 + 0 + 6*w**5 + 12*w - 74*w**2 = 0. Calculate w.
0, 2/9, 1, 3
Let 1485*p**2 + 598580 - 45916*p**3 + 45921*p**3 + 602040*p + 1980*p**2 = 0. Calculate p.
-346, -1
Let b = -164431/2 + 82287. Solve 25/6*v**4 + 110/3*v + 6 + b*v**2 + 45*v**3 = 0 for v.
-9, -1, -2/5
Let a = 1018280/7 - 145466. Solve 0 - 3/7*x**5 - 33/7*x**2 + 9/7*x**3 + a*x + 9/7*x**4 = 0 for x.
-2, 0, 1, 3
Let y(i) be the first derivative of -34*i - 7/10*i**3 + 1/5*i**2 + 1/6*i**4 + 34. Let k(a) be the first derivative of y(a). Find r, given that k(r) = 0.
1/10, 2
Factor 3200 - 116333*l + 58247*l - 48*l**2 + 58326*l - 4*l**3.
-4*(l - 8)*(l + 10)**2
Let n = 83/1701 - -353393/8505. Factor 32/5*d + 338/5*d**3 + n*d**2 + 0.
2*d*(13*d + 4)**2/5
Let z be ((-4)/(-3))/((-8)/(-12)*(-52)/(-78)). Let x(b) be the second derivative of 0*b**z + 0*b**2 + 5/12*b**4 + 0 - 5/4*b**5 + 12*b. Factor x(u).
-5*u**2*(5*u - 1)
Let p = 191 - 171. Let -60 - p*g + 26 + 34 + 5*g**3 = 0. Calculate g.
-2, 0, 2
Let k be ((-12)/10)/((-50)/125). Let p(a) = -15*a**2 - 575*a - 460. Let l(n) = 2*n**2 + 72*n + 58. Let r(b) = k*p(b) + 25*l(b). Factor r(j).
5*(j + 1)*(j + 14)
Let z be (195*7/126 + -10)*6. Let u(h) be the first derivative of -1/20*h**z + 1/16*h**4 + 0*h + 1/6*h**3 + 0*h**2 + 21. Determine f, given that u(f) = 0.
-1, 0, 2
Suppose 1/10*f**5 + 12/5*f**4 + 2*f**3 + 23/5 - 21/10*f - 7*f**2 = 0. Calculate f.
-23, -2, -1, 1
Let z(r) be the third derivative of -r**8/504 + 2*r**7/35 + 3*r**6/4 + 22*r**5/9 - 7*r**4/3 - 32*r**3 + r**2 + 214. Solve z(o) = 0 for o.
-3, -2, 1, 24
Suppose -741 = -2*m + 2*y + 1835, -4*m = -5*y - 5150. Let z be m/1075*10/8. Factor 1029/2 - 441/2*n + 63/2*n**2 - z*n**3.
-3*(n - 7)**3/2
Suppose 0 = -2957*g + 2960*g - 2*o - 118, 146 = 3*g + 5*o. Factor -33*q**2 - 12 - g*q - 15/2*q**3.
-3*(q + 2)**2*(5*q + 2)/2
Let c be ((-33)/(-18) + 12/18)*10. Determine h so that 36*h**2 + c*h - 31*h**2 - 25 - 5 = 0.
-6, 1
Let r(w) be the second derivative of 3*w**5/100 + 13*w**4/20 + 11*w**3/2 + 45*w**2/2 - 10*w - 28. Suppose r(v) = 0. What is v?
-5, -3
Let w = 84206 + -84198. Suppose -176/5*o**4 - 326/5*o**3 - 8/5 + w*o + 32*o**5 + 58/5*o**2 = 0. Calculate o.
-1, -2/5, 1/4, 2
Suppose -345*z + 337*z = -1632. Let n be ((-1)/(-4))/(3 + z/(-72)). Factor 6*i - 9/2 - n*i**2.
-3*(i - 3)*(i - 1)/2
Let d = -1940 + 1941. Let p be (d/(-15))/((-7)/(-15 + 85)). Determine k so that 2/3*k**5 + 0 - p*k + 0*k**3 - 4/3*k**4 + 4/3*k**2 = 0.
-1, 0, 1
Factor -345/8*w + 81/4 - 5/8*w**3 - 37/2*w**2.
-(w + 3)*(w + 27)*(5*w - 2)/8
Let p be -1 + (53/7 - 6). Suppose -184 = -4*v - 176. Factor 2/7*a**v + p - 6/7*a.
2*(a - 2)*(a - 1)/7
Let b be (-27)/(-75)*1240/372. Let m(v) be the first derivative of 0*v**4 + 0*v - 1/2*v**6 - 30 + 2*v**3 + 3/2*v**2 - b*v**5. Factor m(j).
-3*j*(j - 1)*(j + 1)**3
Let k(v) be the first derivative of 2*v**3/27 - 85*v**2/9 - 172*v/9 + 453. Suppose k(o) = 0. Calculate o.
-1, 86
Suppose -43*c - 29*c = -5112. Let o be c/6 - 54/6. Factor m - 1/2*m**3 + 0 + o*m**2.
-m*(m - 6)*(3*m + 1)/6
Let v(s) be the first derivative of -s**6/72 + s**5/4 - 25*s**4/24 - s**3 + 74. Let y(q) be the third derivative of v(q). Factor y(d).
-5*(d - 5)*(d - 1)
Suppose 3*r + 112 = 16*b - 14*b, 2*r = -3*b - 66. Let k be (-8)/32 + (-153)/r. Factor -1/4*g**k + 0*g - 1/4*g**3 + 1/4*g**5 + 1/4*g**2 + 0.
g**2*(g - 1)**2*(g + 1)/4
Let b(i) be the second derivative of i**7/26460 - i**6/2520 + i**4/2 - 4*i**2 + 29*i. Let d(x) be the third derivative of b(x). Factor d(r).
2*r*(r - 3)/21
Suppose -1 = 2*i + v - 0, -4*v = 12. Let p be i/(-25 + -1)*232/(-29). Factor 6/13 - 2/13*s**2 + p*s.
-2*(s - 3)*(s + 1)/13
Let i(w) be the third derivative of w**6/200 + 4*w**5/25 - 33*w**4/10 - 3*w**2 - 218. Determine u so that i(u) = 0.
-22, 0, 6
Find l such that 224 + 132/5*l + 2/5*l**2 = 0.
-56, -10
Let n = -497 + 499. Let 0*m - 32*m - 19*m**2 - 8 - 19*m**n + 56*m**2 = 0. Calculate m.
-2/9, 2
Let m(l) be the second derivative of 23*l**4/15 - 16*l**3/5 + 2*l**2/5 + 2*l - 179. Let m(s) = 0. What is s?
1/23, 1
Let q(i) be the third derivative of -i**5/75 - 139*i**4/30 + 56*i**3/3 + 272*i**2 + 2*i. Let q(n) = 0. Calculate n.
-140, 1
Let m = -4559 - -4308256/945. Let b(w) be the third derivative of -m*w**7 - 14*w**2 + 2/27*w**3 + 1/540*w**6 + 0 + 0*w + 1/90*w**5 - 5/108*w**4. Factor b(v).
-2*(v - 1)**3*(v + 2)/9
Determine y, given that 1486514322723/2 + 6335289*y**2 - 5034*y**3 - 3543538314*y + 3/2*y**4 = 0.
839
Let j be (-78)/10*(-210)/546. Let h be (3 - 3)/((-5)/(-5)). Determine u so that -1/5*u**j + 2/5 + 3/5*u + h*u**2 = 0.
-1, 2
Let c(b) = -b**3 - b**2 + b - 13. Let y be c(-3). Factor 18*d - d**3 - 96*d**2 - 96*d**2 - 95*d**2 + 304*d**y.
-d*(d - 18)*(d + 1)
Let x(h) be the third derivative of h**6/180 - 2*h**5/15 - 23*h**3/2 + 82*h**2. Let v(n) be the first derivative of x(n). Factor v(j).
2*j*(j - 8)
Let w(g) be the first derivative of -1/10*g**6 - 15/4*g**4 - 9/2*g**3 - 21/20*g**5 - 15*g + 0*g**2 - 17. Let m(s) be the first derivative of w(s). Factor m(c).
-3*c*(c + 1)*(c + 3)**2
Let m(w) be the third derivative of -w**6/120 + 7*w**5/60 + w**4/6 + 5*w**3/3 + 9*w**2. Let d be m(7). Find i suc