7 - 887*z. Factor f(o).
-4*(o - 1)**3*(o + 88)/7
Let u(n) = -50*n**2 - 103*n - 87. Let y(p) = 8*p**2 + 17*p + 15. Let h(v) = 6*u(v) + 38*y(v). Factor h(a).
4*(a + 3)*(a + 4)
Suppose -2*p + 2*y = -8, -2*p + 10 = -4*y - 2. Suppose -o = -15*b + 10*b, -p*b = -5*o. Factor 4/3*v + 2*v**2 + 2/3*v**3 + o.
2*v*(v + 1)*(v + 2)/3
Let d(y) be the first derivative of -y**6/240 + y**5/40 + y**4/48 - y**3/4 + 3*y**2/2 - 42. Let i(s) be the second derivative of d(s). Factor i(l).
-(l - 3)*(l - 1)*(l + 1)/2
Let v(y) be the second derivative of -y**7/2520 - 11*y**6/720 - 3*y**5/20 + 23*y**4/6 - 58*y. Let l(t) be the third derivative of v(t). What is d in l(d) = 0?
-9, -2
Let p = 363 - 426. Let l be ((-33)/p)/(-1) + 18/27. Suppose 0*g**2 - l*g**4 + 2/7*g**3 - 2/7*g + 1/7 = 0. Calculate g.
-1, 1
Suppose 16*g = 4*g + 60. Let s be (g/(-10))/((-3)/(-18))*-1. Factor -359*q + 9*q**4 + 26*q**s + 6 + 57*q**2 + 13*q**3 + 392*q.
3*(q + 1)**2*(q + 2)*(3*q + 1)
Let j = 110382 - 110380. Factor 0 + 4/9*c**3 + 2/9*c**4 - 4/9*c - 2/9*c**j.
2*c*(c - 1)*(c + 1)*(c + 2)/9
Factor -4/3*d**3 - 14/5*d**2 + 0 - 22/15*d.
-2*d*(d + 1)*(10*d + 11)/15
Suppose 72*t - 71*t - 95 = 0. Factor y**3 - 95 + 72*y**2 + t + y**3 + 16*y**2.
2*y**2*(y + 44)
Let z(a) = a**3 + 508*a**2 + 5949*a - 34. Let y be z(-12). Find o, given that 44/5*o + 46/5 - 2/5*o**y = 0.
-1, 23
Let l be 8 + (-4)/2 + 6 + (-204)/(-36). Factor -18*o - 1/3*o**2 - l.
-(o + 1)*(o + 53)/3
Suppose 645 + 690 = -31*z + 1397. Factor -1/3*n**z + 0 - 1/6*n**3 - 1/6*n.
-n*(n + 1)**2/6
Let c be 2 - (-14)/(-7 - -9). Factor 444*t + 141 + c*t**3 - 125 - 51*t**4 + 162*t**2 + 48*t**4 + 344.
-3*(t - 10)*(t + 2)**2*(t + 3)
Suppose -6*k - 3*k + 450 = 0. Factor 9*z**3 - 50 + 55*z - 60*z + k*z**2 - 4*z**3.
5*(z - 1)*(z + 1)*(z + 10)
Suppose 1206*c - 4*c**3 + 9*c**3 + 655*c**2 - 558*c + 645 + 647*c = 0. What is c?
-129, -1
Let v be (1736/9)/(-36*27/(-1458)). Let h(u) be the first derivative of v*u**3 + 80*u - 15 + 272*u**2 - 49*u**4. What is x in h(x) = 0?
-2/7, 5
Let f be 71/142 - (38/28)/(-19). Factor -f*r**2 + 12/7*r + 16/7.
-4*(r - 4)*(r + 1)/7
Let p(w) = 8*w + 226. Let c be (28/10)/(-4*12/480). Let a be p(c). Suppose 0 - 1/7*t**4 - t**a + 5/7*t**3 + 3/7*t = 0. What is t?
0, 1, 3
Let w be (-12)/50*(-80 - 0). Let b(r) = -r**3 + 55*r**2 - 56*r + 9692. Let h be b(57). Suppose 72/5*m**h + 48/5 + 24/5*m**3 + w*m + 3/5*m**4 = 0. Calculate m.
-2
Let o = 3126227/15 - 208415. Let 2/15*r**2 + 4/15*r + o = 0. What is r?
-1
Let m be (-28)/(((-2)/36)/((-2)/8)). Let f be 4/(-6)*m/28. Find l, given that -9*l - f*l**2 + 4*l**2 - 6 - 4*l**2 = 0.
-2, -1
Let x be 9 + (-8)/(-7 + 12 + -3). Let c(j) be the third derivative of -35/24*j**4 - 5/24*j**6 - 1/42*j**7 - 3/4*j**x + 0*j + 5*j**2 + 0 - 5/3*j**3. Factor c(a).
-5*(a + 1)**3*(a + 2)
Let g(a) be the first derivative of -4*a**4 - 20*a**3/3 + 44*a**2 - 52*a - 1165. Factor g(x).
-4*(x - 1)**2*(4*x + 13)
Let u = -72 + 78. Let v = 6 - -2. Factor v*w**2 - 4*w**4 + 20*w**4 + 2*w**5 + 13*w**3 - u*w**5 - 33*w**3.
-4*w**2*(w - 2)*(w - 1)**2
Solve -9604 - 1/4*g**2 - 98*g = 0 for g.
-196
Let h(i) be the third derivative of 2*i**7/105 + 4*i**6/15 + 13*i**5/15 - 5*i**4 - 48*i**3 + 442*i**2 - 1. Find n, given that h(n) = 0.
-4, -3, 2
Let l = 550/3 - 136409/744. Let q = 1231/744 - l. Factor 1/3*d**3 + q*d - 2/3 - 4/3*d**2.
(d - 2)*(d - 1)**2/3
Let f(o) be the first derivative of -105*o**4/4 + 520*o**3/3 - 395*o**2/2 - 20*o + 7374. Suppose f(c) = 0. What is c?
-1/21, 1, 4
Let n be (-2 + 1)*-7 + 5979013/2563. Let i = 2340 - n. Solve i*m**2 + 16/11*m + 0 = 0.
-8, 0
Let n(o) = o**2 - 147*o - 160. Let u(z) = z**2 - 151*z - 160. Let f(m) = 2*n(m) - 3*u(m). Factor f(l).
-(l - 160)*(l + 1)
Let k(n) be the first derivative of -n**3/3 - 85*n**2 - 336*n + 2786. Determine a so that k(a) = 0.
-168, -2
Suppose 4/5*x - 2/5*x**2 + 16/5 = 0. What is x?
-2, 4
Let g be -445 - -443 - (15/(-90))/((-2)/(-28)). Factor -8/3*t**3 - 5/6*t**4 - g*t - 13/6*t**2 + 0.
-t*(t + 1)*(t + 2)*(5*t + 1)/6
Let i(h) be the first derivative of h**4/8 - 10*h**3 + 117*h**2/4 - 29*h - 828. Let i(f) = 0. What is f?
1, 58
Let q(c) be the second derivative of -5*c**7/98 - 23*c**6/70 + 45*c**5/28 - 61*c**4/28 + c**3 - 1177*c. What is x in q(x) = 0?
-7, 0, 2/5, 1
Let k = 2113131/5 + -422624. Factor -1/10*s**4 + k*s**3 + 36/5*s**2 + 37/5*s + 5/2.
-(s - 25)*(s + 1)**3/10
Let j(a) be the first derivative of 1/6*a**2 + 2/15*a**5 - 57 - 2/9*a**3 + 0*a + 0*a**4 - 1/18*a**6. Factor j(p).
-p*(p - 1)**3*(p + 1)/3
Let h(k) be the third derivative of 2*k**3 + 1/40*k**7 - 93/80*k**5 + 69*k**2 + 0 + 11/40*k**6 + 0*k + 13/16*k**4. Let h(j) = 0. Calculate j.
-8, -2/7, 1
Let q(a) be the first derivative of 2*a**3/3 - 15*a**2 - 108*a + 270. Determine v so that q(v) = 0.
-3, 18
Factor -148 + 2096*b - 1062*b - 882*b - 4*b**2.
-4*(b - 37)*(b - 1)
Determine c so that -6*c**3 + 4*c**4 - 331*c + 339*c + 4*c**2 - c**5 - 9*c**4 = 0.
-2, 0, 1
Let r(i) = -i**3 + 85*i**2 + 201*i - 187. Let p be r(-3). Let n be ((-15)/20)/((-15)/8). Solve 0*d**p - 3/5*d**4 - 1/5*d**5 + 0*d + 0 - n*d**3 = 0.
-2, -1, 0
Find x such that 124/3*x - 1/3*x**2 + 125/3 = 0.
-1, 125
Let o(d) = d**3 + d**2 - d. Let n(j) = -10*j**3 - 14*j**2 + 8*j. Let u(t) = -t**3 + 4*t**2 + 7*t + 2. Let a be u(5). Let w(k) = a*o(k) + n(k). Factor w(c).
2*c*(c - 2)*(c + 1)
Let n be 127211/140 + 8/(-32). Let z = -908 + n. Solve -z*w**2 + 4/5 - 2/5*w = 0.
-2, 1
Let k(v) be the first derivative of 3*v**3/4 + 28*v**2 - 65*v + 2158. Factor k(r).
(r + 26)*(9*r - 10)/4
Let d(q) be the second derivative of 3*q**6/40 + 51*q**5/80 + 11*q**4/8 + q**3 + 4624*q. Determine u so that d(u) = 0.
-4, -1, -2/3, 0
Let k(r) be the second derivative of 20/3*r**3 + 0 - 200*r**2 - 5*r - 1/12*r**4. Factor k(z).
-(z - 20)**2
Suppose -5*x = -21*x + 32. Let k(h) = h**2 - 2*h + 4. Let z be k(0). Find v, given that -22*v + 5 + 15 + 0 - x*v**2 + z*v**2 = 0.
1, 10
Let y(n) be the first derivative of -38 - 3/10*n**6 + 0*n + 27/20*n**4 - 3/5*n**2 - 3/25*n**5 - 3/5*n**3. Suppose y(q) = 0. Calculate q.
-2, -1/3, 0, 1
Determine x so that 693*x**3 + 71/2*x**4 + 1/2*x**5 - 729*x**2 - 177147/2*x + 177147/2 = 0.
-27, 1, 9
Let s = -111 + 114. Factor 5*y**5 + 3*y**5 - s*y**5 - 4*y**3 + 2*y - 3*y**5.
2*y*(y - 1)**2*(y + 1)**2
Let r(v) = -2*v**4 + v**2 - 3*v + 1. Let f(z) = 56*z**4 - 84*z**3 + 76*z**2 + 144*z - 24. Let w(a) = f(a) + 24*r(a). Factor w(t).
4*t*(t - 9)*(t - 2)*(2*t + 1)
Let o be 2 + -4 + 1 + 30 + 1. Find h, given that o*h - 4*h**2 + 3*h**2 - h**2 + 32 - 2*h - 2*h**2 = 0.
-1, 8
Let d(h) = -h**2 + 21*h - 75. Let k be d(16). Solve -20*m**4 + 831 - 1485*m - 21 + k*m**5 + 810*m**2 - 582*m**3 + 462*m**3 = 0.
-6, 1, 3
Let k(x) be the second derivative of -x**6/15 - 7*x**5/5 + 31*x**4/6 - 16*x**3/3 + 134*x - 5. Solve k(o) = 0 for o.
-16, 0, 1
Let l(o) be the first derivative of o**5/30 - o**4 + 11*o**3/3 + 29*o**2 - 211. Let u(t) be the second derivative of l(t). What is p in u(p) = 0?
1, 11
Let 0*r + 374/7*r**3 - 2/7*r**5 + 0 + 188/7*r**2 + 184/7*r**4 = 0. Calculate r.
-1, 0, 94
Let t(b) be the third derivative of b**6/24 - 31*b**5/12 + 595*b**4/12 - 300*b**3 + 12*b**2 - 16. Let t(r) = 0. Calculate r.
2, 9, 20
Let -80/9*h + 8 + 22/9*h**2 = 0. Calculate h.
18/11, 2
Suppose 0 = 3402*m - 3406*m + 12. Let t(b) be the third derivative of -7/2*b**4 + 0*b + 8*b**m + 3/4*b**5 - 18*b**2 - 13/160*b**6 + 1/280*b**7 + 0. Factor t(y).
3*(y - 4)**3*(y - 1)/4
Let m be 2/(-8) + 19/((-988)/7527). Let s be (2/35)/((-29)/m). Factor 2/7*c**4 - 6/7*c**3 + 6/7*c**2 - s*c + 0.
2*c*(c - 1)**3/7
Factor -298/7*b**3 + 2299/7*b - 1331/7 - 1/7*b**5 - 638/7*b**2 - 31/7*b**4.
-(b - 1)**2*(b + 11)**3/7
Factor -592/3 + 2/3*c**2 + 140/3*c.
2*(c - 4)*(c + 74)/3
Factor -51*q - 3/4*q**2 - 855.
-3*(q + 30)*(q + 38)/4
Let p(k) be the second derivative of -35/6*k**4 + 0*k**2 - 245/6*k**3 + 0 - 1/4*k**5 - 18*k. What is f in p(f) = 0?
-7, 0
Let g(k) be the second derivative of -k**6/40 - 381*k**5/40 - 63*k**4/2 + 3*k - 26. Determine i, given that g(i) = 0.
-252, -2, 0
Suppose 3*b - 2*b = 2*y + 33, 3*b - 108 = 3*y. Let c be b/(-9)*-3 - 2. Determine t, given that -c*t**5 - 3*t**4 + 7*t**5 + 7*t**5 = 0.
0, 1
Let s = 190166 + -190164. Let -a - 2/3 - 1/3*a**s = 0. What is a?
-2, -1
Let w be ((-10)/2)/((-20)/8). Factor -4*d**3 + 17