*i**4 + i**3 + 1/12*i**6 + 0*i + 3/5*i**5 + 0*i**2. What is j in v(j) = 0?
-3, -2, -1, 0
Factor 60*i - 9/4 + 81/4*i**2.
3*(i + 3)*(27*i - 1)/4
Let p(h) = h**4 + h**3 - h**2 - 2. Let t(q) = -q**4 - 7*q**3 + 9*q**2 - 3*q + 4. Let a = -63 + 65. Let s(f) = a*p(f) + t(f). Factor s(w).
w*(w - 3)*(w - 1)**2
Let g = 333876/7 - 47695. Factor -1/7*j**3 - 16/7 - g*j**2 - 26/7*j.
-(j + 1)*(j + 2)*(j + 8)/7
Let y(k) be the third derivative of -125*k**6/6 + 155*k**5/3 - 53*k**4/2 + 6*k**3 - 1289*k**2. Factor y(n).
-4*(n - 1)*(25*n - 3)**2
Suppose 0 = 6*i + 3*i - 873. Let p = i + -93. Factor 3*q**3 + q**5 - 39*q**2 - p*q**4 + 43*q**2 + 2 - 2 - 4*q.
q*(q - 2)**2*(q - 1)*(q + 1)
Let s = 1196/5 + -60986/255. Let x(k) be the second derivative of -5/102*k**4 + 0*k**2 + 0 - 13/85*k**6 + s*k**3 - 15*k - 23/85*k**5. Solve x(l) = 0.
-1, -1/3, 0, 2/13
Let r(w) be the third derivative of -w**6/120 + 5*w**5/6 - 175*w**4/6 + 500*w**3 + 657*w**2 + w. Suppose r(q) = 0. Calculate q.
10, 30
Let y = 531 + -527. Factor -1776*t + 1393*t**4 + 3800*t**2 - 2402*t**3 - 49*t**y + 127*t**3 + 288 - 1121*t**3 - 196*t**5.
-4*(t - 2)**3*(7*t - 3)**2
Let u(w) be the first derivative of w**6/960 - w**5/160 - w**3/3 - 8*w**2 + 92. Let d(x) be the third derivative of u(x). Factor d(j).
3*j*(j - 2)/8
Let p(k) be the second derivative of k**7/21 - 34*k**6/15 - 36*k**5/5 - 711*k. Solve p(y) = 0 for y.
-2, 0, 36
Let m(l) be the third derivative of 0*l - 1/3*l**4 - 1/15*l**6 - 5 + 5*l**2 + 1/3*l**5 + 0*l**3. Determine h, given that m(h) = 0.
0, 1/2, 2
Let o(i) be the third derivative of -i**5/80 - 13*i**4/48 + 3*i**3/8 + i**2 - 1060. Let o(f) = 0. What is f?
-9, 1/3
Let h(t) be the second derivative of 133*t**7/9 - 1001*t**6/9 - 1691*t**5/15 - 310*t**4/9 - 8*t**3/3 - 36*t - 12. Find l such that h(l) = 0.
-2/7, -1/19, 0, 6
Suppose 0 = 5*x + 15, 3*f = 2*x + 52 - 13. Let 15*p**2 - 29*p**4 + 8*p**4 + 18*p**4 - 1 - f = 0. What is p?
-2, -1, 1, 2
Let o = 227/1365 - 3/91. Let v = -3/36520 - -20453/21912. Let 2/5 + v*x + o*x**3 + 2/3*x**2 = 0. Calculate x.
-3, -1
Factor 18*u + 44*u**2 + 10*u + 3*u**3 + 8424058*u**4 - u**5 - 8424072*u**4.
-u*(u - 2)*(u + 1)**2*(u + 14)
Let d(h) be the first derivative of 7*h**3 - 444*h**2 + 252*h + 422. What is s in d(s) = 0?
2/7, 42
Let c(j) be the first derivative of j**4/10 - 236*j**3/5 + 30972*j**2/5 + 126736*j/5 - 471. Factor c(w).
2*(w - 178)**2*(w + 2)/5
Let t = 2667/2 + -1384. Let o = t - -52. Factor -3/2*d**2 + 3/2 + o*d - 3/2*d**3.
-3*(d - 1)*(d + 1)**2/2
Let j(t) be the third derivative of -7*t**5/12 + 15*t**4/4 + 15*t**3/2 - 2317*t**2 - 1. Factor j(o).
-5*(o - 3)*(7*o + 3)
Suppose -6*p - 1293 + 4365 = 0. Let c be ((-9)/6)/((-176)/p). Suppose -50/11*b**5 - c*b**3 - 32/11*b + 160/11*b**4 + 0 - 128/11*b**2 = 0. What is b?
-2/5, 0, 2
Let c(x) be the third derivative of 0 + 91/15*x**5 + 539/180*x**6 + 0*x + 41/9*x**4 - 59*x**2 - 49/90*x**7 + 16/9*x**3. Factor c(i).
-(i - 4)*(7*i + 2)**3/3
Let d = 629/15600 - 11/400. Let a(m) be the second derivative of -10*m + 0*m**2 + d*m**4 - 2/39*m**3 + 0. Factor a(z).
2*z*(z - 2)/13
Let b = 1121039/795 - 49674/53. Let x = 473 - b. Factor -x + 4/15*p**3 + 2/15*p**4 - 4/15*p + 0*p**2.
2*(p - 1)*(p + 1)**3/15
Let t = -1/1082 - -3807/21640. Let y(i) be the first derivative of 0*i - 1/8*i**3 - 8 + 0*i**2 - 5/16*i**4 - t*i**5. Factor y(n).
-n**2*(n + 1)*(7*n + 3)/8
Let v(a) = 5*a**4 - 972*a**3 - 64*a**2 + 2947*a - 1972. Let o(x) = 2*x**4 - 324*x**3 - 20*x**2 + 982*x - 656. Let u(q) = 7*o(q) - 2*v(q). Factor u(f).
4*(f - 81)*(f - 1)**2*(f + 2)
Factor -30/19*r - 72/19 - 2/19*r**2.
-2*(r + 3)*(r + 12)/19
Find w, given that 0 + 112/3*w**2 - 50/9*w**3 - 32*w + 2/9*w**4 = 0.
0, 1, 12
Suppose 25 + 59 = 6*u + 18. Let h(l) be the second derivative of -3/230*l**5 + 0*l**3 + 0*l**2 - u*l + 1/69*l**4 + 0 + 1/345*l**6. Solve h(z) = 0.
0, 1, 2
Suppose 15*f = 11*f + 12. Let d(j) = 2*j - 4. Let q be d(f). Factor -18*x - 13*x**q + 3*x**2 + 9 - 5.
-2*(x + 2)*(5*x - 1)
Let h(d) be the third derivative of d**8/1512 + d**7/21 - 71*d**6/270 + 16*d**5/45 - 1889*d**2 - 1. Solve h(g) = 0 for g.
-48, 0, 1, 2
Let s(o) = o**3 + 4*o**2 - 5*o - 4. Let q be s(-5). Let f = 6 + q. Suppose 0 - 3/4*c**4 - 12*c + 21/4*c**3 - 6*c**f = 0. What is c?
-1, 0, 4
Let i(f) = f**2 + 24679*f + 271351. Let k be i(-11). Let -k + s - 1/4*s**4 - s**3 + 13/4*s**2 = 0. What is s?
-6, -1, 1, 2
Let z(w) be the first derivative of w**7/3780 + w**6/324 + 2*w**5/135 + w**4/27 - 41*w**3/3 - w + 78. Let x(i) be the third derivative of z(i). Factor x(t).
2*(t + 1)*(t + 2)**2/9
Let t = 278 + -272. Find b, given that t - 79*b - b**2 + 53*b + 21*b = 0.
-6, 1
Factor -5735*m**5 + 11469*m**5 - 506*m**3 + 0*m**4 + 540*m**4 - 558*m**3 - 5738*m**5.
-4*m**3*(m - 133)*(m - 2)
Let z = -11 - -17. Suppose -2*o - 3*m = z, -2 = 4*o + 2*m - m. Factor 9*k**3 - 6*k**2 - 4*k**4 + 21*k + o*k**4 - 20*k.
-k*(k - 1)**2*(4*k - 1)
Let o(z) be the second derivative of -64*z - 29/5*z**3 + 9/20*z**4 - 9/2*z**2 + 0 + 3/25*z**5. Suppose o(x) = 0. Calculate x.
-5, -1/4, 3
Let i(f) be the first derivative of -230 + 1/3*f - 21/2*f**2 - 64/9*f**3. Solve i(c) = 0.
-1, 1/64
Factor 103 + 21*c**2 - 5*c**3 + 19*c - 219*c - 103 + 49*c**2.
-5*c*(c - 10)*(c - 4)
Solve 20172/7 - 234/7*u**2 - 3/7*u**3 - 4059/7*u = 0.
-41, 4
Let h be (-214)/(-13) + -29*2256/4089. Find c such that 4/13*c + h*c**2 + 2/13*c**3 + 0 = 0.
-2, -1, 0
Let l = 199 + -196. Let 5*o**2 - 441*o - 2*o**l + 1 + 443*o - 6*o**2 = 0. What is o?
-1, -1/2, 1
Let q(t) be the second derivative of 1/108*t**4 + 0*t**2 + 1/60*t**5 + 2*t - 1/27*t**3 - 8. Let q(f) = 0. What is f?
-1, 0, 2/3
Let a(m) be the first derivative of m**4/2 - 106*m**3/9 - 25*m**2 - 38*m/3 - 4035. Factor a(p).
2*(p - 19)*(p + 1)*(3*p + 1)/3
Suppose 8*a + 5*g + 35 = 6*a, 0 = a + 2*g + 18. Let j be (-1 + -2)/(a/((-400)/(-105))). Determine f, given that 2/7*f**4 - 6/7*f + 6/7*f**3 + 2/7*f**2 - j = 0.
-2, -1, 1
Let 1434 + 12*y**2 - 1434 - 39*y**3 + 3*y**5 + 36*y + 43823*y**4 - 43835*y**4 = 0. What is y?
-2, -1, 0, 1, 6
Let u be (-6)/1 + 23/((-138)/(-24)). Let f be 145/(-35) + (-15)/6*u. Suppose -f + 3*o + 12/7*o**2 = 0. What is o?
-2, 1/4
Let s(n) = 18*n**2 + 1728*n - 7172. Let g(w) = 4*w**2 + 349*w - 1434. Let q(c) = -14*g(c) + 3*s(c). Solve q(v) = 0.
5, 144
Suppose 2/7*r**3 + 102*r**2 - 8/7*r - 408 = 0. Calculate r.
-357, -2, 2
Let d = 1398613/621604 + -1/155401. Find l such that -3/2*l + 21/4*l**2 + 0 - 3/4*l**3 + d*l**5 - 21/4*l**4 = 0.
-1, 0, 1/3, 1, 2
Suppose 2*g + 3*d = 11, -4*d + 11 = 23. Let w(a) be the first derivative of 40*a - g*a**3 + 90*a**2 + 9*a**5 + 15 - 125/4*a**4. Determine f so that w(f) = 0.
-1, -2/9, 2
Let f be 14/203 + (9 - (286/(-58) + 8)). Factor -2/3*m**2 + f*m - 16/3.
-2*(m - 8)*(m - 1)/3
Let a be 12 + -45 - (-4522)/126 - (-8)/(-9). Factor -6/5*i + 12/5*i**a + 6/5*i**3 - 12/5.
6*(i - 1)*(i + 1)*(i + 2)/5
Suppose 0 = 3*x, 4*x - 6 = 3*u - 15. Let m(a) = -a**3 - 58*a**2 + 59*a + 2. Let f be m(-59). Factor 5 + 2*p**4 + 4*p**3 - 8*p + u - 7*p**2 + p**f.
2*(p - 1)**2*(p + 2)**2
Let o(z) be the second derivative of 0 - 1/6*z**4 - 12*z**2 + 7/3*z**3 + 23*z. Solve o(u) = 0.
3, 4
Let m be (-60)/14 - (0*29/232 - 20/2). Factor -m*v**2 + 0 + 2/7*v**3 - 6*v.
2*v*(v - 21)*(v + 1)/7
Let n be (5 - (-14)/(-3))*54/2. Find c, given that -20 - c**2 - n*c - 14*c - 2 = 0.
-22, -1
Let p(l) be the third derivative of l**5/180 - 35*l**4/72 + 17*l**3 - 1621*l**2. Factor p(g).
(g - 18)*(g - 17)/3
Let v(x) be the first derivative of 441/4*x - 399/8*x**2 - 41/12*x**3 - 1/16*x**4 - 15. Determine g, given that v(g) = 0.
-21, 1
Let j(z) be the first derivative of 1/4*z**4 + 34 + 0*z - 1/6*z**6 + 3/4*z**5 + 0*z**2 + 0*z**3. Factor j(x).
-x**3*(x - 4)*(4*x + 1)/4
Let x(d) = 14*d**2 + 15*d + 27. Let a(w) = 74*w**2 + 76*w + 138. Let k(h) = -3*a(h) + 16*x(h). Factor k(q).
2*(q + 3)**2
Let m(r) = 28*r**3 + 179*r**2 - 483*r - 5299. Let b(w) = 19*w**3 + 119*w**2 - 322*w - 3533. Let q(v) = 7*b(v) - 5*m(v). Factor q(c).
-(c + 7)**2*(7*c - 36)
Suppose -871 = -49*a + 354. Let i be (-28)/(-24) - a/30. Factor i*m**2 + 1/9*m**3 - 2/9 - 1/9*m - 1/9*m**4.
-(m - 2)*(m - 1)*(m + 1)**2/9
Let i be (354/(-8))/((-93)/124). Solve -42*r - 5*r**3 + 25*r + 3*r**3 + 18*r**2 + i*r + 22 = 0 for r.
-1, 11
Let g(b) be the first derivative of -