/2 - 4*a**2. Let p be q(5). Solve -18 - p*l**2 - 2*l + 6 + 10*l**2 = 0.
-2, 3
Let x = 56 - 53. Suppose x*b - 6 = -o, 4*b - 8 = 2*o - 4*o. Suppose 26*v**3 + 17*v**b - 30*v - 31*v**3 + 8*v**2 = 0. Calculate v.
0, 2, 3
Let v be (-16)/(-40)*95/76. Let k(s) be the first derivative of 1/12*s**6 - 1/4*s**4 - 1/3*s**3 - 4 + 1/4*s**2 + 1/10*s**5 + v*s. Find g such that k(g) = 0.
-1, 1
Let x(w) be the first derivative of 6*w**5/5 - 3*w**4/2 - 2*w**3 + 2*w**2 + 2*w - 62. Let z(h) = h**4 - h**3 - h**2 + 1. Let k(u) = x(u) - 2*z(u). Factor k(f).
4*f*(f - 1)**2*(f + 1)
Let h be 0*(-1 - 1)/2. Suppose h = -2*v + 115 + 57. Factor -6*d - 76*d**2 + v*d**2 - 19*d + 25*d**3 - 10.
5*(d - 1)*(d + 1)*(5*d + 2)
Factor 1/12*z - 1/12*z**3 - 35/6 + 35/6*z**2.
-(z - 70)*(z - 1)*(z + 1)/12
Let f(s) be the third derivative of -s**6/8 + 161*s**5/12 + 45*s**4/4 + 2*s**2 + 114*s + 2. Factor f(y).
-5*y*(y - 54)*(3*y + 1)
Determine y, given that 54*y**2 + 0 - 32/3*y - 10/3*y**3 = 0.
0, 1/5, 16
Suppose -5*s + 5*o - 3*o = -109, 3*o - 36 = -2*s. Let f be (2/9)/((-14)/s*-1). Factor -1/3*l**2 + 2/3 - f*l.
-(l - 1)*(l + 2)/3
Let u(p) be the second derivative of -2*p**7/21 - 8*p**6/5 - 44*p**5/5 - 70*p**4/3 - 34*p**3 - 28*p**2 - 96*p. Solve u(t) = 0 for t.
-7, -2, -1
Let a be 7 - ((0 - 2)*3 + 10). Factor -70368 - 2*d**3 + 23815*d - 13015*d - 37632 - 360*d**2 + 2*d**3 + 4*d**a.
4*(d - 30)**3
Suppose -u = 3, s = -4*s + u - 192. Let q be 6 - 2 - s/9. Factor 18*o**2 + 0*o - q*o**3 - 32/3 + o**4.
(o - 4)**2*(o - 1)*(3*o + 2)/3
Let y(v) = 170*v**3 - 1955*v**2 + 10230*v + 12250. Let c(f) = 39*f**3 - 451*f**2 + 2361*f + 2827. Let u(n) = 35*c(n) - 8*y(n). Factor u(p).
5*(p - 21)*(p - 9)*(p + 1)
Let 72 - 1/2*c**4 - 6*c**3 - 29/2*c**2 + 21*c = 0. What is c?
-8, -3, 2
Let q(z) = z**3 - 18*z**2 + 2. Let v be q(18). Factor 4*n**v - 2*n**2 + 525*n - 527*n.
2*n*(n - 1)
Let s be 0/(-26 + (-70)/(-7)). Solve 5*b**3 - 25*b**2 - 1/4*b**4 + s + 0*b = 0.
0, 10
Let d(t) be the second derivative of 5/21*t**3 + 6/7*t**2 - 13*t + 1/42*t**4 + 0. Determine i so that d(i) = 0.
-3, -2
Let q(m) be the first derivative of -2*m**5/55 + 12*m**4/11 - 166*m**3/33 + 60*m**2/11 - 1308. What is s in q(s) = 0?
0, 1, 3, 20
Let w be ((-12)/(-9))/((-2)/6*-2). Factor 40*b - 3*b**3 - 1023*b**2 - w*b**3 + 988*b**2.
-5*b*(b - 1)*(b + 8)
Suppose -w - 9 = 2*w, 45 = 3*b - 3*w. Let m(u) = u**3 - u**2 + u + 1. Let y(v) = -14*v**3 + 26*v**2 - 40*v + 4. Let c(q) = b*m(q) + y(q). Solve c(z) = 0 for z.
1, 2, 4
Let i = 3218/45 - 357/5. Let p(z) be the first derivative of 28/27*z**3 - 21 - 64/9*z + i*z**4 + 16/9*z**2. Determine b so that p(b) = 0.
-4, 1
Suppose 98/9*f**3 + 0 + 8*f**2 + 2/9*f**5 + 0*f + 28/9*f**4 = 0. What is f?
-9, -4, -1, 0
Suppose -2*c = -5*r + 4, 3*c - 5*r + 5 = 4. What is p in -161*p**5 + 6*p**3 + 173*p**5 + 5*p + 3*p**2 + 27*p**4 + 12*p**c - 5*p = 0?
-1, -1/4, 0
Let c = 380 + -374. Suppose 0 = -2*b + c, d - 2 - 3 = -b. Solve 0*a - 3/2*a**d + 3/2 = 0.
-1, 1
Solve 12789*o + 873/5*o**2 + 3/5*o**3 + 12615 = 0.
-145, -1
Let k(u) be the third derivative of u**7/1470 - 9*u**6/280 - 3*u**5/35 + 53*u**4/42 + 8*u**3 + 43*u**2 - 4*u. Factor k(z).
(z - 28)*(z - 3)*(z + 2)**2/7
Let d(m) be the third derivative of -4/3*m**4 + 0*m + 1/15*m**6 - 102*m**2 + 1/210*m**7 + 0 - 32/3*m**3 + 1/5*m**5. Factor d(s).
(s - 2)*(s + 2)*(s + 4)**2
Factor 0*c - 327/5*c**3 + 66*c**2 + 0 - 3/5*c**4.
-3*c**2*(c - 1)*(c + 110)/5
Let q(l) be the third derivative of l**7/105 + l**6/15 - l**5/5 - 3*l**4 - 9*l**3 + 404*l**2 - 3. Determine r so that q(r) = 0.
-3, -1, 3
Factor -2/15*x**2 + 86/15 + 28/5*x.
-2*(x - 43)*(x + 1)/15
Let f(o) be the first derivative of 10*o**6/3 + 485*o**5 + 72585*o**4/4 - 56425*o**3/3 - 18605*o**2/2 - 4449. Solve f(u) = 0 for u.
-61, -1/4, 0, 1
What is o in -1/2*o**3 - 5766*o + 93*o**2 + 119164 = 0?
62
Let h(m) be the second derivative of 8*m**7/35 - m**6/5 - 7*m**5/20 - m**4/8 + 171*m**2/2 - 117*m. Let k(v) be the first derivative of h(v). Solve k(r) = 0.
-1/4, 0, 1
Let h(b) be the third derivative of -b**7/280 + 3*b**6/80 + 7*b**5/80 + 338*b**2. Determine k, given that h(k) = 0.
-1, 0, 7
Let f be 2*(-52)/(-24) + 154/(-66). Let z be ((-238)/(-17))/((-3)/(-2)). Factor z - 32/3*g + 4/3*g**f.
4*(g - 7)*(g - 1)/3
Let d(k) be the third derivative of -k**5/105 - 22*k**4/21 - 192*k**3/7 - 3426*k**2. Factor d(o).
-4*(o + 8)*(o + 36)/7
Let x be 20/(51/(-4437)*-58). Let 0 + 5*t**2 + x*t**4 - 85/2*t**3 + 15/2*t = 0. Calculate t.
-1/3, 0, 3/4, 1
Let j = 4748 - 4748. Let f(g) be the first derivative of -1/18*g**3 + 0*g + 3 + j*g**2 - 1/24*g**4. Solve f(r) = 0 for r.
-1, 0
Let f be 12/(-44) + (-6902)/(-462) + -14. Factor f*n**3 - 4/3 + 1/3*n**4 - 8/3*n - n**2.
(n - 2)*(n + 1)**2*(n + 2)/3
Let y(o) = 4*o**3 + 2*o - 1. Let h be y(2). Factor -113*r + h + 5*r - 112*r**2 - 31.
-4*(r + 1)*(28*r - 1)
Suppose 0*u + 5*n - 65 = -u, -2*n = -5*u + 460. Factor -1 + u - 114*g + 1543 + 416 + 2*g**2 - 14*g.
2*(g - 32)**2
Let z(h) be the second derivative of 29768*h**4/45 + 488*h**3/45 + h**2/15 - 159*h - 3. Let z(o) = 0. Calculate o.
-1/244
Let a(k) = -18*k**5 - 21*k**4 - 149*k**3 - 246*k**2 - 189*k - 49. Let x(f) = 3*f**5 - 3*f**4 + f**3 - 1. Let r(m) = -a(m) - 5*x(m). Factor r(z).
3*(z + 1)**3*(z + 3)*(z + 6)
Suppose -73101 - 3/7*x**2 - 354*x = 0. Calculate x.
-413
Let c(f) = -12*f - 237. Let a be c(-20). Let n(x) be the first derivative of 2 + 2/3*x - 2/9*x**a + 0*x**2. Factor n(z).
-2*(z - 1)*(z + 1)/3
Suppose 0 = -q + 43 - 49. Let i be ((-10)/(-20)*4)/((-28)/q). Determine r, given that -3/7*r - i*r**4 + 0 - 9/7*r**2 - 9/7*r**3 = 0.
-1, 0
Let z be (-15*(-24)/(-40) + 12)/(9/16). Let -1/3*p**2 + z*p + 0 = 0. What is p?
0, 16
Let f be 221/(-1144) + 12/32. Let l(t) be the first derivative of 2/33*t**3 + 0*t - f*t**2 + 6. Factor l(x).
2*x*(x - 2)/11
What is v in 8/7*v**4 - 214/7*v**3 - 38 + 174*v**2 - 746/7*v = 0?
-1/4, 1, 7, 19
Suppose -r + 381 + 123 = s, 0 = -2*r + s + 1008. Let h be (54/r)/(2/7). Let 0*o + 3/8*o**2 - h = 0. What is o?
-1, 1
Let j(g) = -g**2 + 2*g - 3. Let r(i) = -4*i**2 + 254*i - 5295. Let q(a) = -j(a) + r(a). Factor q(v).
-3*(v - 42)**2
Factor -1/3*z**5 + 0*z - 19/3*z**2 - 7*z**4 - 13*z**3 + 0.
-z**2*(z + 1)**2*(z + 19)/3
Factor -202/5*h + 644/5 - 56/5*h**2 - 2/5*h**3.
-2*(h - 2)*(h + 7)*(h + 23)/5
Suppose v - 6*v + 30 = -5*w, 5*w = -4*v + 6. Let n = 3953 - 3951. Factor -f**3 - 3*f**3 + f**n + 31*f**4 - 3*f**2 - 33*f**v.
-2*f**2*(f + 1)**2
Let c(o) be the first derivative of o**4/5 - 14*o**3/45 - 179*o**2/15 + 4*o - 2789. Factor c(b).
2*(b - 6)*(b + 5)*(6*b - 1)/15
Let m = -23 + 55. Let o = 36 - m. Find d, given that -12 + 3*d**5 + d**5 + 8*d**2 + 4*d**o + 26*d - 3*d**3 - 6*d - 21*d**3 = 0.
-3, -1, 1
Let l(x) be the third derivative of -x**6/96 + 53*x**5/12 + 1435*x**4/32 + 135*x**3 + 5310*x**2. Find q, given that l(q) = 0.
-3, -1, 216
Let s be (-48)/(-20)*220/2640. Let -6/5 + 1/5*l**2 + s*l = 0. What is l?
-3, 2
Let r = -7797 - -4766. Let a = -33311/11 - r. Let 4/11 - 2/11*g - a*g**2 = 0. Calculate g.
-2/5, 1/3
Let o(u) be the third derivative of 4*u**3 - 7*u + 0 - u**2 + 1/15*u**5 + 5/6*u**4. Factor o(n).
4*(n + 2)*(n + 3)
Let t be -2*2*(-6 - -5)/2. Let p(w) be the second derivative of 0*w**4 - 1/10*w**3 + 1/5*w**2 + 0 - t*w + 1/100*w**5. Solve p(b) = 0 for b.
-2, 1
What is s in -833*s + 52 + 803*s + 5*s**2 - 252 = 0?
-4, 10
Suppose 0 = -4*a + 2*v - 52, -8 = 3*a + v + 41. Let o be a/21*44/(-55). Suppose 18/7*z**3 + o - 18/7*z - 4/7*z**2 = 0. What is z?
-1, 2/9, 1
Let r = 303454 - 303452. Let 0 - 9/5*c**r - 3/5*c**3 + 6*c = 0. Calculate c.
-5, 0, 2
Suppose 81*f - 79*f = -6. Let l be (-117)/234 - (-1 - f/(-2)). Factor -2/3*q**2 + 0 + l*q.
-2*q*(q - 3)/3
Let x(b) be the second derivative of -b**7/126 - 89*b**6/45 - 2699*b**5/20 - 3916*b**4/9 - 3872*b**3/9 + 4*b + 3. Factor x(h).
-h*(h + 1)**2*(h + 88)**2/3
Let t(h) be the second derivative of 22*h**2 - 6*h - 7*h**3 + 0 - 1/6*h**4. Determine p, given that t(p) = 0.
-22, 1
Let n(k) be the second derivative of k**5/160 - 17*k**4/96 - 29*k**3/24 - 5*k**2/2 + 26*k. Factor n(s).
(s - 20)*(s + 1)*(s + 2)/8
Let m(n) be the second derivative of -n**5/12 - 5*n**4 - 115*n**3/6 + 26*n**2 - 152*n. Let j(r) be the first derivative of m(r). Factor j(t).
-5*(t + 1)*(t + 23)
Let r(c) = 2*c**2 + 5*c**2 + 4