*f - 8/11 = 0.
1, 2
Suppose 14*x - 23*x + 36 = 0. Suppose 0 = -2*l - 2 - 2, -79 = -5*m - 3*l. Factor -m*p**4 + x*p**5 + 15*p**3 - 3*p**5 - 8*p**2 - 16*p + 25*p**4.
p*(p - 1)*(p + 1)*(p + 4)**2
Let m = -641375/2 - -320688. Let -5/2*r + 1/2*r**2 + 3/2 + m*r**3 = 0. Calculate r.
-3, 1
Suppose -53*w = -182 + 23. Let r be 1/w*(-7 + (2 - -11)). Factor -6/7*j + 10/7*j**r - 2/7*j**3 - 18/7.
-2*(j - 3)**2*(j + 1)/7
Let v be ((-3)/12)/(7/(-700)). Suppose 93 = 6*j + v*j. Factor 0*f + 2/7*f**5 - 2/7*f**j + 0 + 2/7*f**2 - 2/7*f**4.
2*f**2*(f - 1)**2*(f + 1)/7
Let p(n) be the second derivative of -n**7/42 - n**6/6 - 5*n**5/12 - 5*n**4/12 - 127*n**2/2 + 185*n. Let w(t) be the first derivative of p(t). Factor w(o).
-5*o*(o + 1)**2*(o + 2)
Let x(w) be the second derivative of -w**5/70 + 5*w**4/14 - 44*w**3/21 + 5*w + 38. Factor x(i).
-2*i*(i - 11)*(i - 4)/7
Let d(v) be the second derivative of -1 - 1/285*v**6 + 4/57*v**3 - 20/19*v**2 + 19*v + 5/38*v**4 + 1/95*v**5. Let d(p) = 0. Calculate p.
-2, 1, 5
Let p(o) be the second derivative of o**6/285 + 71*o**5/190 + 23*o**4/38 - 71*o**3/57 - 70*o**2/19 - 2959*o. Find m, given that p(m) = 0.
-70, -1, 1
Let h(p) be the first derivative of -2*p**3/21 + 5*p**2 + 400*p/7 - 12. Factor h(y).
-2*(y - 40)*(y + 5)/7
Let o(l) be the third derivative of -l**7/5670 - l**6/162 - 8*l**5/135 - 17*l**4/24 + 11*l**2. Let v(p) be the second derivative of o(p). Factor v(i).
-4*(i + 2)*(i + 8)/9
Suppose -4*n - 130 = -118, 3*u + 3 = -n. Let x(k) be the second derivative of -7/4*k**4 - 7*k - 2/3*k**2 + 16/9*k**3 + u. Find j, given that x(j) = 0.
2/9, 2/7
Find u, given that -16/5*u**2 - 24/5*u**4 + 4/5*u**5 + 144/5*u + 0 - 108/5*u**3 = 0.
-2, 0, 1, 9
Let u be 27*144/(-387828) + (-34)/38 + 1. Let a(o) be the second derivative of -3/14*o**2 - 11*o + 0 + 1/35*o**5 - 11/42*o**3 - u*o**4. Factor a(j).
(j - 3)*(2*j + 1)**2/7
Let c(v) be the second derivative of v**7/28 - 13*v**6/20 + 57*v**5/40 + 41*v**4/8 - 23*v**3 + 33*v**2 + 5855*v. Solve c(s) = 0.
-2, 1, 2, 11
Let y(v) = v**3 - v. Let d(u) = -28*u**3 - 24*u**2 - 56*u + 420. Let w(z) = 2*d(z) + 60*y(z). Factor w(f).
4*(f - 14)*(f - 3)*(f + 5)
Let j = -831 + 861. Solve -24 - j*m**3 + 5*m**3 + 9*m**3 - 19*m + 2*m**2 + 4 + 17*m**3 = 0 for m.
-5, -1, 4
Let k(c) be the third derivative of -c**8/1344 + c**7/420 + 71*c**6/480 - 3*c**5/10 + 7853*c**2. Solve k(d) = 0.
-8, 0, 1, 9
Solve 0 + 129/4*q**2 - 141*q + 3/4*q**3 = 0 for q.
-47, 0, 4
Let q = 1759 - 1759. Let d(m) be the third derivative of 1/6*m**4 - m**2 + 0*m + 2/15*m**5 + 1/30*m**6 + 0 + q*m**3. Factor d(i).
4*i*(i + 1)**2
Let g(v) = 3*v**3 + 200*v**2 + 595*v - 9020. Let w(r) = 4*r**3 + 300*r**2 + 892*r - 13532. Let b(c) = 8*g(c) - 5*w(c). Solve b(q) = 0.
-15, 5
Let n be (-372)/(-12) + -24 - 7. Let s(u) be the first derivative of 3/2*u**4 + 5/2*u**3 + 0*u + 33 - 3/10*u**5 + n*u**2. Suppose s(w) = 0. Calculate w.
-1, 0, 5
Suppose -221*s - 6*w + 14 = -216*s, 0 = -3*w - 3. What is h in 8/7*h**5 + 0 - 4/7*h**2 - 26/7*h**s + 0*h + 22/7*h**3 = 0?
0, 1/4, 1, 2
Let d(q) = 5*q**4 - 59*q**3 - 215*q**2 + 86*q + 15. Let s(b) = b**4 + b**3 - b**2 + 2*b - 3. Let z(g) = 2*d(g) + 10*s(g). Factor z(l).
4*l*(l - 8)*(l + 3)*(5*l - 2)
Factor 28/11*r**2 - 60/11 - 34/11*r + 2/11*r**3.
2*(r - 2)*(r + 1)*(r + 15)/11
Factor -1/3*n**3 + 164/3 + 109*n + 54*n**2.
-(n - 164)*(n + 1)**2/3
What is q in -10/3*q**4 - 24 + 58/3*q**2 - 2/3*q**5 + 8*q + 2/3*q**3 = 0?
-3, -2, 1, 2
Let h(d) be the third derivative of -d**6/660 + 17*d**5/30 + 377*d**4/132 + 63*d**3/11 - 5061*d**2. Factor h(p).
-2*(p - 189)*(p + 1)**2/11
Suppose 770*b - 16910 + 70 = -2598*b. Find l such that -1/3*l**b + 2/3*l + 5/3*l**2 + 0 - 1/3*l**4 + l**3 = 0.
-1, 0, 2
Suppose 3*h + 756 = 3*y, y + 14*h = 9*h + 252. Solve y*t - 1214*t**2 + 3*t**3 - 196 + t**3 + 1154*t**2 = 0 for t.
1, 7
Solve -60384/7*y**2 - 10 - 41472/7*y**5 - 1437696/7*y**4 + 3358/7*y + 482112/7*y**3 = 0 for y.
-35, 1/12
Let a(q) be the third derivative of 0 + 0*q**3 + 2/75*q**5 - 10*q - 3*q**2 + 0*q**4 - 1/600*q**6. Factor a(d).
-d**2*(d - 8)/5
Determine a, given that 1910*a**3 + 1784/3*a - 7852/3*a**2 - 112/3 + 150*a**4 = 0.
-14, 2/15, 1
Let n(o) = 53*o - 5. Let w be n(2). Suppose -i + w = 4. Factor -h**2 + h**2 + h + 95 + h**2 - i.
(h - 1)*(h + 2)
Let a(r) be the third derivative of -r**7/840 - r**6/10 - 11*r**5/10 - 16*r**4/3 - 14*r**3 + 4115*r**2. Suppose a(s) = 0. What is s?
-42, -2
Suppose a + 415 = 5*b - 197, -b - a = -120. Suppose 18*z**3 - 42 - 38*z**3 - 24*z**2 + 22*z**3 + b*z - 40*z**2 - 18 = 0. What is z?
1, 30
Let y be (-2)/2*(-126)/84. Let m(d) be the first derivative of 5 - y*d**3 + 3/16*d**4 - 3*d + 27/8*d**2. Factor m(a).
3*(a - 4)*(a - 1)**2/4
Let k(t) be the first derivative of -t**6/3060 + 21*t**5/340 - t**3/3 - 13*t - 175. Let u(m) be the third derivative of k(m). Find h such that u(h) = 0.
0, 63
Let g(q) = -8*q**2 + q + 5. Let r(v) = -9*v**2 + 6. Suppose -170 = 15*b - 10*b. Let p = 28 + b. Let t(o) = p*g(o) + 5*r(o). Factor t(u).
3*u*(u - 2)
Let w(l) = -42*l**2 + 1220*l - 1189. Let n(v) = 8*v**2 - 244*v + 238. Let q(p) = -11*n(p) - 2*w(p). Let q(u) = 0. Calculate u.
1, 60
Suppose -3*h + 12 = -3*n, 5*h - n = 2*h + 20. Suppose -h*i - 6 = -11*i. Suppose 2/7*t**i + 2/7 + 4/7*t = 0. What is t?
-1
Suppose 5*c = -149 + 164. Determine h so that 4*h + 9*h**2 + c*h - 4*h - 3*h**2 = 0.
-1/2, 0
Let k = -211/34 + 148/17. What is c in 40 + k*c**3 + 20*c - 35/2*c**2 = 0?
-1, 4
What is z in 1624/11*z + 146/11*z**3 + 1072/11 + 828/11*z**2 + 2/11*z**4 = 0?
-67, -2
Let y(o) be the second derivative of 2*o + 28 - 5/8*o**3 - 1/32*o**4 - 3*o**2. Determine n so that y(n) = 0.
-8, -2
Solve -4*d**2 + 5*d**2 + 111*d**3 - d**4 - 65*d**2 + 64*d**2 = 0 for d.
0, 111
Suppose -2*k + 7*k - 4 = 2*q, 0 = -4*k + q + 5. What is y in 10*y**4 + 3*y**5 + 1634*y - 1730*y - 48*y**k - 48 + 5*y**4 + 12*y**3 = 0?
-2, -1, 2
Let v(q) be the first derivative of -1/7*q**6 + 0*q**2 - 65 + 0*q + 8/21*q**3 + 26/35*q**5 - 8/7*q**4. Factor v(n).
-2*n**2*(n - 2)**2*(3*n - 1)/7
Let q(h) be the third derivative of h**7/420 + 11*h**6/60 + 93*h**5/40 - 27*h**4/4 - 169*h**2 - 5*h. Let q(d) = 0. What is d?
-36, -9, 0, 1
Let l be (403/22 + (-68)/(-374))*1. Factor l*f + 1369/4 + 1/4*f**2.
(f + 37)**2/4
Suppose -3*q + 2*c = 175, -q = 5*c - 3*c + 61. Let k = -54 - q. Factor -8*z**k + 177*z**4 + 8*z**2 + 0*z**2 + 4*z**5 - 185*z**4 + 4*z.
-4*z*(z - 1)*(z + 1)**3
Let p be (-742)/(-689) + 168/182. Solve -7/6*d**2 + p + 20/3*d = 0.
-2/7, 6
Let p be 8/(208/(-182)) - -7*1. Let t(w) be the third derivative of p*w + 0 - 1/18*w**4 + 1/540*w**5 + 2/3*w**3 + 15*w**2. Solve t(c) = 0 for c.
6
Let o be 304/20*(-5)/(-2). Solve -37 - 220*g - 238 - g**5 + 23*g**3 + 75 + 4*g**4 - o*g**2 = 0.
-2, 5
Let t(i) = 452*i**2 + 46108*i + 413. Let l be t(-102). Find y such that -21*y + 27/2*y**4 + 39/2*y**3 + 0 - 27/2*y**2 + 3/2*y**l = 0.
-7, -2, -1, 0, 1
Let w = -1/25531 + 25533/51062. Let s = -9 + 12. Factor -w*b**2 - s + 7/2*b.
-(b - 6)*(b - 1)/2
Suppose 0 = -5*q - 5*p + 540, q - 542 = 5*p - 428. Let t(j) be the first derivative of -45*j**4 - 81*j**2 + 24*j - 14 + 27/5*j**5 + q*j**3. Solve t(z) = 0.
1/3, 2, 4
Let -9750/7*t**4 + 0 - 3300/7*t**2 + 169/7*t**5 - 236/7*t - 12983/7*t**3 = 0. What is t?
-1, -2/13, 0, 59
Let w be 332/20 - (15 + 0). Let i(z) be the first derivative of 0*z - w*z**3 + 1/2*z**4 - 4 + 4/5*z**2. Factor i(a).
2*a*(a - 2)*(5*a - 2)/5
Let k(o) be the first derivative of o**5/10 - 3*o**4/2 - 4*o**3/3 + 36*o**2 - 30*o - 163. Let t(p) be the first derivative of k(p). What is v in t(v) = 0?
-2, 2, 9
Let m(y) be the second derivative of -5*y**4/28 + 143*y**3/14 - 738*y**2/7 - 4*y + 197. Factor m(q).
-3*(q - 4)*(5*q - 123)/7
Factor 75741*a**3 + 296*a**2 - 50*a - 142*a + 3*a**4 - 75849*a**3 + a**4.
4*a*(a - 24)*(a - 2)*(a - 1)
Let y(n) be the third derivative of -n**5/45 - 1771*n**4/18 + 3544*n**3/9 - 36*n**2 + 2*n - 6. Find z such that y(z) = 0.
-1772, 1
Let s(o) be the first derivative of 2*o**3/9 - 2540*o**2/3 + 3225800*o/3 + 74. Factor s(u).
2*(u - 1270)**2/3
Let g(l) be the third derivative of -l**8/1512 - 2*l**7/189 + l**6/135 + 71*l**5/135 + 79*l**4/36 + 4*l**3 - 18*l**2 + 2. Determine z so that g(z) = 0.
-9, -3, -1, 4
Let o(k) be the third derivative of 0*k**3 + 0 + 0*k + 32*k**2 + 0*k*