 3 + -1 + -8. Let x be (d - -4)*-5 - -7. Factor -15*k**x + 14*k - 12 - 2*k - 3*k**3 + 18*k**2.
-3*(k - 2)*(k - 1)*(k + 2)
Let f be (3/2)/(11/(-550)). Let o = f + 77. Factor 9*z - 5*z + o*z - 6*z**3 + 3*z**2 - 3*z**4.
-3*z*(z - 1)*(z + 1)*(z + 2)
Let c(t) = -5*t**2 - 847*t + 178105. Let h(q) = 2*q**2 + q - 7. Let g(p) = 2*c(p) + 6*h(p). Determine s, given that g(s) = 0.
422
Suppose -28 = -5*v - 0*g - 4*g, -4*v = 5*g - 17. Let t(w) = -8*w**2 - 77*w + 643. Let x(j) = -13*j**2 - 116*j + 964. Let z(a) = v*t(a) - 5*x(a). Factor z(m).
(m - 18)**2
Factor -2/7*l**2 - 310/7*l - 44.
-2*(l + 1)*(l + 154)/7
Let o = -34/5 + 452/65. Suppose 173*q = 124*q + 98. Suppose 0*r - o*r**q + 8/13 = 0. What is r?
-2, 2
Let u(t) be the first derivative of -t**6/6 + 11*t**5/4 - 10*t**4 - 10*t**3/3 + 80*t**2 + 214*t - 43. Let v(a) be the first derivative of u(a). Factor v(n).
-5*(n - 8)*(n - 2)**2*(n + 1)
Let b(l) be the third derivative of -11*l**5/180 - 7*l**4/24 + 2*l**3 - 983*l**2. Factor b(z).
-(z + 3)*(11*z - 12)/3
Find s such that -2/13*s**2 + 132/13*s + 3024/13 = 0.
-18, 84
Let k(i) be the second derivative of -i**6/24 + 7*i**5/15 - 13*i**4/24 - 5*i**3/3 + 35*i**2 + 75*i. Let v(t) be the first derivative of k(t). Factor v(r).
-(r - 5)*(r - 1)*(5*r + 2)
Let y(w) = 37*w**3 - 220*w**2 + 331*w - 152. Let r(v) = 260*v**3 - 1540*v**2 + 2315*v - 1065. Let o(h) = 2*r(h) - 15*y(h). Factor o(u).
-5*(u - 1)**2*(7*u - 30)
Let -1888903*d + 233644288 - 4*d**3 + 4656*d**2 + 193263*d - 110888*d = 0. What is d?
388
Let r(t) be the first derivative of 2*t**5 - 55*t**4/4 - 65*t**3/3 - 757. Determine i, given that r(i) = 0.
-1, 0, 13/2
Let u = -3374 + 3384. Let y(i) be the second derivative of -5*i**2 + 0 - u*i + 7/3*i**3 + 1/50*i**5 - 11/30*i**4. Find x, given that y(x) = 0.
1, 5
Let n(t) be the second derivative of 3 + 112*t**3 + 3*t + 9*t**4 - 392*t**2 + 1/5*t**5. Factor n(z).
4*(z - 1)*(z + 14)**2
Let m(w) be the second derivative of -w**5/130 - 17*w**4/39 + 4*w**3/39 + 136*w**2/13 - 1014*w. Factor m(n).
-2*(n - 2)*(n + 2)*(n + 34)/13
Let v(b) be the second derivative of b**4/4 + 16*b**3 + 90*b**2 - 404*b + 1. Let v(q) = 0. Calculate q.
-30, -2
Let y(h) = -69*h**4 + 10*h**3 - 26*h**2 - 41*h + 15. Let a(f) = 139*f**4 + 16*f**3 + 52*f**2 + 83*f - 31. Let p(u) = -6*a(u) - 14*y(u). Solve p(d) = 0 for d.
-6/11, 1/3, 1
Let k(c) be the third derivative of -2*c**3 + 0*c - 1/2*c**4 - 44*c**2 + 0 - 1/20*c**5. Factor k(s).
-3*(s + 2)**2
Factor -32/3*c**2 + 2/3*c**3 - 82*c - 132.
2*(c - 22)*(c + 3)**2/3
Let v be ((-6)/20)/((-2)/4) - 1134/(-810). Let h(c) be the second derivative of 0*c**v - 4*c - 1/20*c**4 - 7/10*c**3 + 0. Factor h(m).
-3*m*(m + 7)/5
Let z(h) = 8*h**2 - 2772*h + 18. Let k(d) = 25*d**2 - 8320*d + 60. Let t(f) = 3*k(f) - 10*z(f). Factor t(m).
-5*m*(m - 552)
Let r(o) = 13*o**2 - 8*o - 20. Let f be r(8). Suppose -f = -4*j - 3*l, 4*j - 752 = -2*l - 0*l. Factor 165*u**3 - 4 - 15 - j*u**2 - 21 + 147*u - 407*u.
5*(u - 2)*(3*u + 2)*(11*u + 2)
Let a(f) = 504*f**2 + 40*f + 8 + 502*f**2 - 998*f**2. Let h(n) = 17*n**2 + 82*n + 18. Let l(p) = 9*a(p) - 4*h(p). Factor l(x).
4*x*(x + 8)
Let -68/7*v**4 + 2/7*v**5 + 0 + 208/7*v**2 - 136/7*v - 6/7*v**3 = 0. What is v?
-2, 0, 1, 34
Factor 7*u**5 - 37220980810*u - 561750800254 - 514115771002 - 301384460*u**2 - 9*u**5 - 1220180*u**3 - 762849880758 - 2470*u**4.
-2*(u + 247)**5
Let k(g) be the third derivative of g**7/105 - g**6/12 - 7*g**5/30 + 5*g**4/12 + 2*g**3 - g**2 - 997*g. Factor k(z).
2*(z - 6)*(z - 1)*(z + 1)**2
Let j(r) = -40*r**2 + 97*r - 73. Let b(z) be the second derivative of 5/3*z**4 - 49/6*z**3 + 18*z**2 + 0 - 5*z. Let w(o) = 13*b(o) + 6*j(o). Factor w(g).
5*(g - 2)*(4*g - 3)
Suppose 8 - 4 = -4*p + 5*u, 2*p - u - 4 = 0. Suppose 12 = -13*n + 18*n - 3*g, 0 = p*g + 16. Let -m**2 + m**4 + 0*m - 1/2*m**3 + n + 1/2*m**5 = 0. Calculate m.
-2, -1, 0, 1
Let c(k) = k**3 - 8*k**2 - 8*k - 6. Let t be c(9). Factor -20*u + 140*u**2 - 24 - 2*u**t - 30*u - 168*u**2.
-2*(u + 1)**2*(u + 12)
Let q be (12 + (-1985)/175 + -1)/((-24)/60). Let q*n**2 + 0 - 24/7*n = 0. What is n?
0, 4
Let i(o) be the second derivative of -686*o**7/9 + 14014*o**6/45 + 584*o**5/15 - 9592*o**4/9 - 1568*o**3/9 - 32*o**2/3 - 5834*o. Solve i(t) = 0.
-1, -2/49, 2
Let o(s) be the second derivative of -s**6/1080 + 7*s**5/360 - 70*s**3/3 - 115*s. Let a(r) be the second derivative of o(r). Factor a(w).
-w*(w - 7)/3
Let h(j) = -7*j - 110. Let y be h(-20). Factor -16*c**2 - 16*c + 75 + 4*c**3 + 19 - y.
4*(c - 4)*(c - 2)*(c + 2)
Solve -5*h + 11/7*h**3 + 23/7*h**2 + 0 + 1/7*h**4 = 0.
-7, -5, 0, 1
Let k(w) be the second derivative of 1/42*w**4 + w - 25/21*w**3 + 24/7*w**2 + 25. Solve k(s) = 0 for s.
1, 24
Let m(s) be the first derivative of 0*s + s**3 + 3/8*s**4 + 0*s**2 + 1. Factor m(g).
3*g**2*(g + 2)/2
Let x(c) be the first derivative of 25*c**6/8 - 197*c**5/4 + 1865*c**4/8 - 465*c**3 + 385*c**2 - 80*c + 2723. Suppose x(n) = 0. What is n?
2/15, 1, 2, 8
Let p(o) be the second derivative of -o**8/23520 + o**7/4410 - 55*o**4/12 - 23*o. Let j(x) be the third derivative of p(x). Suppose j(q) = 0. What is q?
0, 2
Solve 2/13*r**2 + 558/13 + 80/13*r = 0.
-31, -9
Let k be (7350/(-60) - -120)/(3/(-64)). Find n, given that 8*n**2 + k*n + 100/3 + 4/3*n**4 - 32/3*n**3 = 0.
-1, 5
Let w(f) = -9*f**4 + 9*f**3 + 49*f**2 - 13*f - 36. Let o(g) = -2*g**4 + 3*g**2 - g. Let a(u) = -8*o(u) + 2*w(u). What is q in a(q) = 0?
-3, -1, 1, 12
Let v(m) be the first derivative of -3*m**4/28 + 15*m**3/7 - 48*m**2/7 - 144*m/7 - 1224. Solve v(k) = 0.
-1, 4, 12
Let z(f) = -2*f**2 + 8*f - 5. Let n(t) = -3*t**2 + 15*t - 7. Let l(m) = -6*n(m) + 10*z(m). Factor l(u).
-2*(u + 1)*(u + 4)
Let c be (-46)/12 + (-6 + 11 - 0). Let d(y) be the second derivative of 0 + 4/3*y**3 - 3*y**2 + c*y**4 - 23*y. Factor d(f).
2*(f + 1)*(7*f - 3)
Factor -3625*n**2 + 780*n + 6087 + 8493 - 5*n**4 - 270*n**3 + 300*n.
-5*(n - 2)*(n + 2)*(n + 27)**2
Let h = -20 + 87. Determine q, given that -15*q - 70 - 2*q - 16*q - 30*q**2 + h = 0.
-1, -1/10
Let o(r) = 1825*r + 25552. Let d be o(-14). Solve -20/3*m**d - 19/3*m + 0 - 1/3*m**3 = 0 for m.
-19, -1, 0
Let q(b) = b**2 - 7*b - 1. Let a(j) = 12*j**2 - 54*j + 121. Let y(l) = -5*a(l) + 55*q(l). Find r such that y(r) = 0.
-12, -11
Let h(s) = -5*s + 34. Let k be h(6). Let p = 11 - 8. Find m such that -m**k - 48*m**p - 2*m + 3*m**4 - 2*m**2 + 50*m**3 = 0.
-1, 0, 1
Let g = 1/759 + 757/1518. Let b(j) be the second derivative of -g*j**4 + 0*j**2 + 13*j + 0 + 3/20*j**5 - 3/2*j**3. Factor b(y).
3*y*(y - 3)*(y + 1)
Let f(b) be the first derivative of -2*b**3/21 + 1797*b**2/7 - 3592*b/7 + 11319. Let f(u) = 0. What is u?
1, 1796
Let z(i) be the first derivative of 20/3*i**3 - 66*i**2 + 22 - 56*i. Factor z(g).
4*(g - 7)*(5*g + 2)
Let d be (6 + -1467)*-2*(-5)/15. Let a = -971 - d. Determine h so that -2/23*h**2 + 4/23*h**a - 4/23*h + 2/23*h**4 + 0 = 0.
-2, -1, 0, 1
Suppose -b - 2*d + 5*d - 15 = 0, 4*b + d = 18. Let j(o) be the third derivative of -1/300*o**5 - 2*o**2 - 1/10*o**b - 1/30*o**4 + 0 + 0*o. Factor j(v).
-(v + 1)*(v + 3)/5
Let w = 146 + -141. Let m be (-715)/220*2/(-13). Find l, given that 2*l**2 - 1/2*l**4 + 7/4*l + 1/2 + m*l**3 - 1/4*l**w = 0.
-1, 2
Suppose -z - 2*h + 0*h + 17 = 0, 12 = 4*h. Suppose -z*d = -13*d + 4. Solve d*n - 3*n**4 + 0 - 6 + n - 9*n**3 + 6*n**3 + 9*n**2 = 0.
-2, -1, 1
Let o(p) be the first derivative of -p**6/90 - 23*p**5/30 - 11*p**4/3 + 22*p**3 - p - 119. Let k(v) be the third derivative of o(v). Factor k(z).
-4*(z + 1)*(z + 22)
Let -3/4*y**5 + 0 + 0*y + 9/2*y**2 - 39/4*y**3 + 5*y**4 = 0. Calculate y.
0, 2/3, 3
Let b = 50 + -47. Suppose 192*w + 9 + 27 - w**3 + 20*w**b + 8*w**3 + 141*w**2 = 0. What is w?
-3, -2, -2/9
Let g be 21 - 4*287/56. Solve 1/2*z**5 + 0*z - g*z**3 + 0 + 1/2*z**4 - 1/2*z**2 = 0.
-1, 0, 1
Let m be 884/208*(-4)/(-51)*(-54)/(-36). Determine o, given that -m*o**3 - 7/2*o - 3/2 - 5/2*o**2 = 0.
-3, -1
Find v, given that -4/3*v**4 + 2/3*v**2 - 1/3*v**5 + 5/3*v + 2/3 - 4/3*v**3 = 0.
-2, -1, 1
Let o(a) be the third derivative of -a**8/672 - 17*a**7/1050 + 13*a**6/50 - 13*a**5/300 - 307*a**4/240 + a**3 - 1072*a**2. Suppose o(r) = 0. What is r?
-12, -1, 1/5, 1, 5
Let n(k) be the first derivative of -32*k + 11/4*k**4 + 32*k**2 + 122 - 14*k**3 - 1/5*k**5. Suppose n(h) = 0. 