*2. Let l(y) = -7*g(y) + 4*r(y). What is d in l(d) = 0?
1, 5
Factor 8*q**3 + 76*q**2 + 109*q - 247*q + 61*q - 7*q**3.
q*(q - 1)*(q + 77)
Let p(g) = 28*g + 3. Let c be p(-1). Let h be 8/40 - (420/c)/6. Factor 1/2*i**h + 0 + 3*i**2 + 9/2*i.
i*(i + 3)**2/2
Let j(v) be the third derivative of -3/50*v**5 - 7/40*v**4 - 3*v**2 + 0 + 0*v**3 + 1/200*v**6 + 3*v. Let j(u) = 0. Calculate u.
-1, 0, 7
Factor 9160/7*x - 2/7*x**2 - 10488200/7.
-2*(x - 2290)**2/7
Let g(w) be the third derivative of w**8/168 - w**7/7 + 13*w**6/30 + w**5/15 - 9*w**4/4 + 13*w**3/3 - 425*w**2. Let g(o) = 0. What is o?
-1, 1, 13
Let j(x) be the first derivative of -111 + 15/4*x**2 + 0*x - 1/6*x**3. Factor j(p).
-p*(p - 15)/2
Let j = 3 + -1. Suppose -3*c - 2 + 4 = r, 0 = -4*c. What is m in 18 - 3*m**2 + m**r + 12*m + 3*m**2 + m**j = 0?
-3
Suppose -3*b + 2 + 7 = 0. Factor -16*r + 12 + 8*r**2 - 8*r**2 + 2*r + 2*r**b.
2*(r - 2)*(r - 1)*(r + 3)
Let u(i) = 209*i**3 + i**5 - 200*i**3 - 9 - 7*i**4 + 16*i**2 - i + 0*i**4. Let m(x) = 2*x**4 - 2*x**3 - 4*x**2 + 2. Let h(d) = 18*m(d) + 4*u(d). Factor h(f).
4*f*(f - 1)*(f + 1)**3
Let n(o) = -6*o**3 - 56*o**2 - 15*o + 41. Let r be n(-9). Determine c, given that 66*c**4 + 8/7 - 96/7*c + 646/7*c**3 + r*c**5 + 178/7*c**2 = 0.
-2, -1, 1/7
Let p be 7800/(-234) + 4/3. Let r be (3 + (p/40 - 3))/(-3). Suppose -r*c**2 - 2/15*c**3 + 0 + 0*c = 0. Calculate c.
-2, 0
Factor a + a**2 - 7*a + 4*a + 5*a - 488 - 62.
(a - 22)*(a + 25)
Let l be (((-7412)/(-153))/(-109) + (-89)/(-18))*(-8)/(-18). Find d such that d**l - 1/2*d**3 - 1/2*d + 0 = 0.
0, 1
Solve 88*z**2 + 144 + z**5 + 15710*z**3 + 240*z - 9*z**4 + 2*z**4 - 15726*z**3 = 0 for z.
-2, -1, 6
Let y(a) be the third derivative of -a**7/525 - 9*a**6/100 - 87*a**5/50 - 1057*a**4/60 - 98*a**3 + 2*a**2 + a + 583. Find d, given that y(d) = 0.
-10, -7, -3
Let f(n) be the second derivative of 3/4*n**5 - 1/6*n**6 + 26*n - 5/2*n**3 + 0 + 5*n**2 - 5/12*n**4. Factor f(k).
-5*(k - 2)*(k - 1)**2*(k + 1)
Find a such that -1/12*a**3 + 0 + 23*a**2 + 0*a = 0.
0, 276
Let u be 6/(-54)*(-315)/70. Let j(q) be the first derivative of 4/5*q**5 + 0*q + 2 + 1/6*q**6 + 3/2*q**4 + 4/3*q**3 + u*q**2. Find m such that j(m) = 0.
-1, 0
Suppose 49*p + 5*p + 91 = 253. Solve -p*y**2 - 48/7*y - 36/7 - 3/7*y**3 = 0 for y.
-3, -2
Solve 39/5 - 1/5*t**2 - 38/5*t = 0 for t.
-39, 1
Let s(g) be the third derivative of g**8/84 - g**7/30 - 3*g**6/40 + 29*g**5/60 - 23*g**4/24 + g**3 + 282*g**2. Determine z, given that s(z) = 0.
-2, 3/4, 1
Let c be (3887/(-260) - -8) + 7. Let l(w) be the third derivative of 12*w**2 + 1/300*w**5 + 1/6*w**3 + 0*w - c*w**4 + 0. Factor l(g).
(g - 5)*(g - 1)/5
Let k be (-576)/(-6336) - (-37)/(-231)*-3. Factor 16428/7*y - 202612/7 - 444/7*y**2 + k*y**3.
4*(y - 37)**3/7
Suppose -z - 9 = -8*i, 1278*z - 1281*z = 3*i - 27. Solve 7/2*c - 6 - 1/2*c**i = 0 for c.
3, 4
Suppose -431*g + 2059*g + 458793 + 5*g**2 - 56*g + 1148*g - 88873 = 0. Calculate g.
-272
Factor 1369*t**3 + 129*t**2 + 156 - 209*t**2 - 1367*t**3 + 74*t.
2*(t - 39)*(t - 2)*(t + 1)
Let g be (-80)/(-84)*63/45. Let w(m) be the first derivative of -6*m**2 + 12 - 8*m - g*m**3. Let w(k) = 0. Calculate k.
-2, -1
Suppose 9 + 15 = 6*o. Solve -5*y + o + 8 - 6 + y**2 = 0 for y.
2, 3
Let y = -193 + 196. Let 4 + 218*w**3 - 6*w - 112*w**y - 104*w**3 = 0. Calculate w.
-2, 1
Let s(k) be the second derivative of -k**5/10 - 352*k**4 - 495616*k**3 - 348913664*k**2 + 2904*k. Factor s(l).
-2*(l + 704)**3
Let y(l) be the third derivative of 193*l**2 - 31/35*l**5 - 50/7*l**3 + 4/245*l**7 + 0 - 1/140*l**6 - 215/56*l**4 + 1/784*l**8 + 0*l. What is q in y(q) = 0?
-5, -1, 4
Let j(t) = 2*t**2 - 2*t + 134. Let o be j(16). Let l = 614 - o. Factor 0*d - 1/2*d**2 + 1/4*d**3 + 1/4*d**4 + l.
d**2*(d - 1)*(d + 2)/4
Let i be (-3 - (-4 + 12)) + 4. Let b = i - -10. Find p such that 1143 - 1139 + 6*p**2 - 4*p**2 - b*p**2 = 0.
-2, 2
Let l(q) be the second derivative of -q**4/6 + 398*q**3/3 - 397*q**2 - 759*q - 2. Factor l(f).
-2*(f - 397)*(f - 1)
Let i(c) = 345*c + 2241. Let t(x) = 98*x + 640. Let j(s) = -5*i(s) + 18*t(s). Let m be j(-8). What is u in 0 - 2/3*u + 1/3*u**2 + 1/3*u**m = 0?
-2, 0, 1
Let h(y) be the third derivative of -y**5/20 + 7*y**4/4 + 16*y**3 + 670*y**2. Factor h(b).
-3*(b - 16)*(b + 2)
Let u(a) be the first derivative of -19*a**5/35 + 25*a**4/7 - 59*a**3/7 + 58*a**2/7 - 20*a/7 + 478. Determine v, given that u(v) = 0.
5/19, 1, 2
Let q(w) be the first derivative of 2*w**5/15 - 33*w**4/4 - 152*w**3/9 - 17*w**2/2 - 3881. Factor q(u).
u*(u - 51)*(u + 1)*(2*u + 1)/3
Factor -238/5*w**2 - 2/5*w**3 + 482/5*w - 242/5.
-2*(w - 1)**2*(w + 121)/5
Solve -160/9*d**3 - 64*d + 592/9*d**2 + 0 + 4/9*d**4 = 0 for d.
0, 2, 36
Let r(w) be the second derivative of w**6/10 - 2*w**5 + 47*w**4/12 + 7*w**3/3 - 12*w**2 + 113*w - 9. Let r(x) = 0. Calculate x.
-2/3, 1, 12
Suppose -8*s + 20 = -3*s. Suppose -v + s = 0, 2*z = -0*z - 3*v + 20. Factor 5*g**z - 48 + 51 - 6*g**2 - 2*g**4.
3*(g - 1)**2*(g + 1)**2
Let r(a) = -a**5 - 4*a**3 + 5*a. Let c = -3 + 6. Let j(w) = -73 - w**2 + 73 + c*w**5 + 8*w**3 - 11*w + w**4. Let o(q) = 4*j(q) + 10*r(q). Factor o(m).
2*m*(m - 1)**2*(m + 1)*(m + 3)
Let x be (-106)/(-18) - -28*6/144*60/(-315). Find d such that 2/3*d**3 + 7*d + 0 - x*d**2 = 0.
0, 3/2, 7
Let r = -10041 - -10041. Let z(d) be the second derivative of -1/5*d**5 + 1/15*d**4 + 16/15*d**3 + 15*d + r - 2/75*d**6 + 8/5*d**2 + 2/105*d**7. Factor z(v).
4*(v - 2)**2*(v + 1)**3/5
Let y(q) = -56*q**2 + 94*q - 86. Let z(i) = -13*i**2 + 1. Let c(a) = -y(a) + 4*z(a). Solve c(x) = 0 for x.
1, 45/2
Let o(s) = s**2 - 15*s - 5. Let t be o(16). Let i be t/4 + 192/(-256). Factor 12/7*l**i - 12/7 - 4/7*l**3 + 4/7*l.
-4*(l - 3)*(l - 1)*(l + 1)/7
Let j = 614 + -609. Factor 48*h**3 - 20*h**2 - 595392 - 50*h + 2*h**j + 595392 + 20*h**4.
2*h*(h - 1)*(h + 1)*(h + 5)**2
Let u(x) be the second derivative of -4/105*x**6 + 14 - 1/42*x**4 + 0*x**2 + 1/14*x**5 + 3*x + 0*x**3. Factor u(d).
-2*d**2*(d - 1)*(4*d - 1)/7
Let n(t) be the first derivative of 4/5*t**4 - 4/25*t**5 + 0*t**3 + 0*t + 0*t**2 + 199. Find h such that n(h) = 0.
0, 4
Let -342225/4*i + 6495/2*i**3 + 3/4*i**5 + 75465/2*i**2 + 177957/4 + 345/4*i**4 = 0. Calculate i.
-39, 1
Suppose 16 = 3*m - o, -45*m = -42*m - 5*o - 32. Determine s, given that 2/11*s - 2/11*s**m + 0 + 2/11*s**2 - 2/11*s**3 = 0.
-1, 0, 1
Let c(n) = 2209*n - 35152. Let g be c(16). Solve 70/3*u**2 - g*u - 2/3*u**3 - 216 = 0 for u.
-1, 18
Let u be (4/6)/((-28)/(-210)). Suppose 0 = -4*g - u*o - 5, 5*o + 45 = 5*g - 5. Let 2/23*r**g + 4/23*r**4 - 8/23*r**3 + 6/23*r - 4/23*r**2 + 0 = 0. What is r?
-3, -1, 0, 1
Let g(y) be the second derivative of y**5/4 + 35*y**4/6 - 5*y**3/6 - 35*y**2 - 717*y. Factor g(x).
5*(x - 1)*(x + 1)*(x + 14)
Suppose -2356/3*i**2 - 84*i**4 + 0 + 4/3*i**5 + 1356*i**3 - 7688*i = 0. What is i?
-2, 0, 3, 31
Factor 0 + 0*i + 202/3*i**2 + 2/3*i**3.
2*i**2*(i + 101)/3
Let l(s) be the first derivative of 21 - 9/8*s**4 + 1/120*s**6 + 1/5*s**5 + 0*s + 19/3*s**3 + 0*s**2. Let x(d) be the third derivative of l(d). Factor x(b).
3*(b - 1)*(b + 9)
Let s(k) be the second derivative of -k**4/6 + 86*k**3/3 - 168*k**2 - 30*k + 3. Factor s(j).
-2*(j - 84)*(j - 2)
Suppose 118*p + 9830 - 10066 = 0. Determine i so that -722/5 - 76/5*i - 2/5*i**p = 0.
-19
Factor 26/3 + 50/3*y + 22/3*y**2 - 2/3*y**3.
-2*(y - 13)*(y + 1)**2/3
Let o(l) = -2*l**2 + 20*l. Suppose 1053*z - 1048*z = 50. Let g be o(z). Determine m so that 1/6*m**3 + g*m + 0 - 1/6*m**2 = 0.
0, 1
Let s(l) be the first derivative of 4*l**2 + 24*l + 109 + 2/9*l**3. Factor s(t).
2*(t + 6)**2/3
Suppose 3*u - 3*u + 2*u = 0. Let d be (6 - (-42)/(-8))*(-4)/(-6). Factor -1/4*y**2 + 0*y - d*y**3 - 1/4*y**4 + u.
-y**2*(y + 1)**2/4
Let a(w) = 12*w**3 + 1424*w**2 + 2876*w + 1448. Let b(g) = -7*g**3 - 949*g**2 - 1917*g - 965. Let k(h) = -5*a(h) - 8*b(h). Let k(t) = 0. Calculate t.
-1, 120
Solve 160*b**2 - 64*b - 132*b**3 - 199*b**4 - 7*b**5 + b**5 + 239*b**4 + 2*b**5 = 0.
0, 1, 4
Let z(t) be the third derivative of 1/48*t**4 + 0*t**3 + 0*t - 92*t**2 + 0 + 1/480*t**5. Let z(a) = 0. Calculate a.
-4, 0
Let d(c) = -2*c + 10. Let p be d(-5). Suppose 4*x - 9*x = -p. Factor 5*n**3 - 2*n**3 - x*n**3.
-n**3
Let d(f) be the third derivative of -13*f**2 + 0 - 1/120*f**5 + 1/24*f**4 + 2/9*f**3 