 2)
Let s(h) be the third derivative of h**5/180 - 161*h**4/72 - 110*h**3/3 - h**2 - 2501*h. Suppose s(m) = 0. Calculate m.
-4, 165
Find i such that 58*i + 10038806*i**4 + 42*i**2 - 3*i**3 + 2*i - 10038818*i**4 + 24 - 3*i**5 = 0.
-2, -1, 2
Suppose -3*m + 130 + 15 = -4*r, m + 85 = -2*r. Let o be (-156)/(-480) - (-5)/r. Let -6/5 + o*i**2 - 1/5*i = 0. Calculate i.
-2, 3
Suppose 85*u**2 + 61*u**2 - 45592*u**4 + 288 - 336*u - 28*u**3 + 45594*u**4 = 0. What is u?
3, 4
Find h such that 2465*h**2 + 4*h**3 + 5494*h**2 + 4479852*h - 21144*h**2 + 5853*h**2 - 912396524 = 0.
611
Let q(a) = -617*a - 92. Let x be q(-8). Find i such that -3*i - 12*i**2 - 2422*i**3 - 2425*i**3 + x*i**3 + 18 = 0.
-3, -2, 1
Let j(i) be the second derivative of i**7/189 + 2*i**6/135 - 4*i**5/45 - i**4/3 - i**3/3 + 1346*i. Find m such that j(m) = 0.
-3, -1, 0, 3
Let z = 787 + -791. Let q be (320/84 + z)*-3. Factor -10/7*l**2 - q*l**3 + 0 - 4/7*l.
-2*l*(l + 2)*(2*l + 1)/7
Let j(l) be the third derivative of -l**8/168 + 128*l**7/105 - 893*l**6/12 + 11899*l**5/15 - 11407*l**4/3 + 29768*l**3/3 + 2014*l**2. Factor j(d).
-2*(d - 61)**2*(d - 2)**3
Let r(n) = -2*n**2 - 1122*n - 61608. Let a(l) = 15*l**2 + 8980*l + 492865. Let s(t) = -3*a(t) - 25*r(t). Factor s(z).
5*(z + 111)**2
Let i be 1575/(-30)*(24/63)/((-414)/161). Determine s so that 0 - 22/9*s**3 - 50/9*s - i*s**2 - 2/9*s**4 = 0.
-5, -1, 0
Let h(p) = 14*p - 2 - 6*p**2 + 7*p - 20*p - p**3 + 10. Let k be h(-6). Factor 0*i - 2/3*i**3 + 0 + 2/3*i**5 + 2/3*i**4 - 2/3*i**k.
2*i**2*(i - 1)*(i + 1)**2/3
Let u(x) = 5*x**2 + 1. Let g(r) = 4*r**3 + 28*r**2 + 384*r - 1164. Let l(i) = g(i) + 12*u(i). Factor l(f).
4*(f - 2)*(f + 12)**2
Let n = 8218 + -8214. Let w be (-2)/(-2) + -1 + (-23 - -23). Solve -2/5*l**5 + w*l**n + 4/5*l**3 - 2/5*l + 0 + 0*l**2 = 0.
-1, 0, 1
Find t, given that 0 - 15/4*t**2 + 25/2*t + 1/4*t**3 = 0.
0, 5, 10
Let d be 112/(-96)*(-24)/56. Let z(n) be the first derivative of 8/15*n**5 - d*n**4 + 0*n**2 + 0*n - 1/9*n**6 + 19 + 0*n**3. Factor z(m).
-2*m**3*(m - 3)*(m - 1)/3
Let b(c) = -343*c + 2416. Let n be b(7). Let i(g) be the second derivative of 25/12*g**4 - g**5 + 0 + 42*g + 115/6*g**3 - n*g**2. Factor i(m).
-5*(m - 3)*(m + 2)*(4*m - 1)
Let j be 6 + 369 + (1 - 0). Let i = -374 + j. Suppose -5/4*c + 1/4 + c**i = 0. Calculate c.
1/4, 1
Let m be ((-3)/6)/((-2)/20). Suppose -32*d + 59 = -m. Factor 0*h - 5/3*h**3 + 0*h**d - 1/3*h**4 + 0.
-h**3*(h + 5)/3
Suppose 3*k + 2*w + 45 = 53, -3*k + 5*w + 1 = 0. Solve 7/3*y - 1/3*y**k + 0 = 0 for y.
0, 7
Let z be 252/(-72)*(5/(-1))/35. Let m(n) be the second derivative of -3/20*n**5 + 1/2*n**4 + 13*n + 0*n**2 - z*n**3 + 0. Factor m(d).
-3*d*(d - 1)**2
Factor -3528/5*w - 2/5*w**2 + 0.
-2*w*(w + 1764)/5
Let g(u) be the first derivative of -u**4/66 + 2*u**3/11 + 7*u**2/11 - 58*u + 159. Let x(r) be the first derivative of g(r). Factor x(z).
-2*(z - 7)*(z + 1)/11
Factor 4*m**4 - 1024*m - 64*m**3 + 134*m**2 + 254*m**2 + 1024 + 98*m**2 - 102*m**2.
4*(m - 4)**4
Let a(i) be the third derivative of i**7/7560 + i**6/144 + 5*i**4/24 - 170*i**2. Let r(t) be the second derivative of a(t). Factor r(q).
q*(q + 15)/3
Let j(u) = -u**2 - 1636*u + 3278. Let i be j(2). Factor -2/23*n**i - 22/23 - 24/23*n.
-2*(n + 1)*(n + 11)/23
Factor 4*z**3 + 964/7*z - 312/7 + 440/7*z**2.
4*(z + 3)*(z + 13)*(7*z - 2)/7
Let z(w) be the first derivative of w**8/420 + w**7/70 - w**6/10 + w**5/6 - 25*w**3 - 49. Let u(g) be the third derivative of z(g). Factor u(h).
4*h*(h - 1)**2*(h + 5)
Let u(i) be the third derivative of -i**6/540 + i**5/45 - i**4/36 - 10*i**3/27 + 54*i**2 + 4. Let u(g) = 0. What is g?
-1, 2, 5
Suppose -200*g - 480 + 5*g**5 - 3*g**4 + 118*g**2 + 211*g**3 + 222*g**2 - 45*g**3 + 104*g**3 + 68*g**4 = 0. What is g?
-6, -4, -2, 1
Suppose 0 = -j + 3*j + 104. Let m = -49 - j. Find b such that 92*b**2 + 32*b - 53*b**4 + 174*b**4 - 40*b - 286*b**m = 0.
0, 2/11, 2
Let x(f) be the second derivative of -f**5/140 + 233*f**4/84 + 39*f**3/7 + 1720*f. Let x(z) = 0. Calculate z.
-1, 0, 234
Factor 9/5*z**2 - 3/5*z**3 + 48/5*z + 36/5.
-3*(z - 6)*(z + 1)*(z + 2)/5
Let q be (-728)/(-144) - (-9)/(-162). Let w = 241/6 + -1201/30. Factor 0*s - 2/15*s**2 + 0 - 2/15*s**q + w*s**3 + 2/15*s**4.
-2*s**2*(s - 1)**2*(s + 1)/15
Let l(y) be the second derivative of 0*y**2 - 11/6*y**4 + 1/10*y**5 - y + 11/15*y**6 - 1/3*y**3 + 15. Factor l(i).
2*i*(i - 1)*(i + 1)*(11*i + 1)
Let o = 2416709/6 + -402784. What is q in 0 - 1/6*q**4 + 3/2*q**2 + 1/2*q**3 + o*q = 0?
-1, 0, 5
Let r = -64 - -740. Let a be r/5 + (-130)/25 + 5. Solve -20 - 4*d**3 + 26*d + 50*d**4 - d**3 - a*d**2 - 126*d = 0.
-1, -1/2, -2/5, 2
Factor 1221010*t**2 - 1221010*t**2 - 1728 - 4*t**3 + 432*t.
-4*(t - 6)**2*(t + 12)
Let r(o) be the first derivative of -3*o**6/2 - 6*o**5 - 65*o**4/12 - 5*o**3/3 + 49*o + 131. Let x(m) be the first derivative of r(m). Factor x(k).
-5*k*(k + 2)*(3*k + 1)**2
Suppose 5*w = -2*k + 3*k + 489, -5*k - 191 = -2*w. Let o = w + -93. Factor 4/7*j**o + 0 - 1/7*j**4 + 0*j + 0*j**2 + 0*j**3.
j**4*(4*j - 1)/7
Let v be -43 - 35*1045/(-539). Factor -10/7*u**3 - 68/7*u - v*u**2 + 0.
-2*u*(u + 17)*(5*u + 2)/7
Let k(s) = 5*s**3 + 95*s**2 + 320*s - 418. Let c be k(-14). Factor -2/9*d**c - 2450/9 - 140/9*d.
-2*(d + 35)**2/9
Let b(g) be the first derivative of g**6/4 - 27*g**5/5 - 26. Determine h, given that b(h) = 0.
0, 18
Let i(a) = a. Let c(r) = -r - 10. Let j be c(-12). Let q(v) = 44 - v**2 - 40 + 0*v**j. Let g(z) = 3*i(z) + q(z). Factor g(w).
-(w - 4)*(w + 1)
Let w(f) be the second derivative of 5/12*f**3 - 3*f - 3/4*f**2 - 1/40*f**5 + 36 - 1/24*f**4. Factor w(d).
-(d - 1)**2*(d + 3)/2
Let s(j) be the first derivative of j**6/15 + 6*j**5/5 - 96*j**4/5 + 1112*j**3/15 - 96*j**2 + 11288. Find d, given that s(d) = 0.
-24, 0, 2, 5
Suppose 2*l + 2*s - 1222 + 1238 = 0, 0 = -5*l + s + 8. Solve l + 1/2*y - 1/2*y**2 = 0 for y.
0, 1
Suppose r - 89 = 4*x, -5*r = -2*x + 6*x - 541. Suppose -3*p + z = 5*z - 233, 4*z + 182 = 2*p. Factor 312*k**3 + 170*k + 32 + 70*k + r*k**3 + p*k**3 + 600*k**2.
4*(5*k + 2)**3
Let f be 102 - (-5)/(3 + 2). Suppose -5*a + f = -107. Factor 22*c + 5*c**4 - 15*c**2 + 4 - a*c + 18 - 2 + 10*c**3.
5*(c - 1)**2*(c + 2)**2
Let j(c) = c**2 - c. Suppose 4*i + 6 = -2*i. Let b(s) = -4*s**2 - 30*s - 128. Let k(u) = i*b(u) - 2*j(u). Factor k(y).
2*(y + 8)**2
Let k = -1412 + 1296. Let h be (k/261)/((-62)/30 + 2). Solve 5/3*x**5 - 10/3*x**3 + 10/3*x**4 + 5/3*x - h*x**2 + 10/3 = 0.
-2, -1, 1
Let d(m) = 3*m**2 + 26*m + 23. Let s be d(-11). Let k be -2 + s/45 + (-32)/(-18). Suppose 0*v - 18 - v**k + v - 18 - 13*v = 0. Calculate v.
-6
Let h = 193/3924 - 7/327. Let i(l) be the third derivative of -1/90*l**5 + 27*l**2 + 0*l + 2/9*l**3 + 0 + h*l**4. Solve i(x) = 0 for x.
-1, 2
Let a(r) be the first derivative of r**6/420 + 13*r**5/210 + 4*r**4/21 - r**3/3 + 43*r**2 + 89. Let q(k) be the third derivative of a(k). Factor q(b).
2*(b + 8)*(3*b + 2)/7
Let l = -9 + 8. Let r be (-4)/(-6)*-3 - (-382 + l). Suppose r*i**4 - 90*i - 30*i**3 + 65*i**2 + 30*i + 20 - 376*i**4 = 0. Calculate i.
1, 2
Let z(h) be the first derivative of -2*h**5/55 - 3*h**4/22 - 2*h**3/33 + 3*h**2/11 + 4*h/11 - 1241. Find y, given that z(y) = 0.
-2, -1, 1
Find x, given that -31*x**2 - 20*x**2 - 30*x**2 + 80*x**2 - 7*x**3 - 6*x**4 = 0.
-1, -1/6, 0
Determine y, given that 283/3*y**2 - 281/3*y - 2/3 = 0.
-2/283, 1
Let b(u) be the third derivative of u**6/120 - u**5/30 - 7*u**4/2 + 60*u**3 - 2*u**2 + 613. Solve b(j) = 0 for j.
-10, 6
Factor 51*t + 38852*t**4 + 6*t**3 - 12 - 32 - 28*t**2 - 38851*t**4 - 19*t**2 + 33*t.
(t - 2)**2*(t - 1)*(t + 11)
Let p(g) be the second derivative of -g + 2/7*g**3 + 11 + 0*g**2 - 117/140*g**5 - 2/7*g**4 - 27/70*g**6. Let p(t) = 0. Calculate t.
-1, -2/3, 0, 2/9
Suppose 29*q + 71*q - 15 = 48 + 137. Factor -484/3 - 4/3*h**q - 88/3*h.
-4*(h + 11)**2/3
Let y(q) be the third derivative of -1/20*q**5 + 0*q + 4*q**3 - 7/8*q**4 + 0 + 16*q**2. Factor y(d).
-3*(d - 1)*(d + 8)
Let 3/10 + 29/5*n**2 - 61/10*n = 0. What is n?
3/58, 1
Factor -52221*r**2 + 504*r - 52223*r**2 - 504*r**3 + 104440*r**2 + 4*r**4.
4*r*(r - 126)*(r - 1)*(r + 1)
Suppose -7*f + 24*f - 1054 = 0. Let l = 65 - f. Solve -1/2*m**l + 1/3*m**2 + 0*m + 0 + 0*m**4 + 1/6*m**5 = 0 for m.
-2, 0, 1
Let f(y) = 9 - 16 - 10*y**3 + 8 -