ose 1 = -2*u + h, 0 = -u - 9*h + 7*h + 12. Let 12*d + 50*d**2 + d**5 - 19*d**2 - 9*d**3 - 27*d**u = 0. What is d?
-3, -1, 0, 2
Factor 8616/7*y - 2/7*y**2 - 9279432/7.
-2*(y - 2154)**2/7
Let j be (2499/189 - 31) + 18. Factor -2/9*u**2 + j*u + 0 + 2/9*u**4 - 2/9*u**3.
2*u*(u - 1)**2*(u + 1)/9
Suppose 0 = n + 3, 4*m = -1155*n + 1159*n + 20. Factor 0 - 3/2*t - 3/4*t**m.
-3*t*(t + 2)/4
Let 0*l + 0 - 6*l**3 + 1/4*l**4 + 23/4*l**2 = 0. Calculate l.
0, 1, 23
Suppose -10 = -5*h, 0 = -3*f + 24*h - 20*h + 1. Let o(n) be the first derivative of 3/2*n**2 + 9 - 3/2*n - 1/2*n**f. Let o(z) = 0. Calculate z.
1
Let z(q) be the third derivative of q**8/80640 - q**6/2880 - 2*q**5/5 + 39*q**2. Let r(l) be the third derivative of z(l). Factor r(s).
(s - 1)*(s + 1)/4
Let f = 16013/138567 + 17/8151. Suppose -194/17*k**3 - 4800/17*k**2 + 0 - f*k**4 - 4608/17*k = 0. What is k?
-48, -1, 0
Let b(g) = g. Let y(z) = -z**2 - 10*z - 110. Let m(a) = -22*b(a) + 2*y(a). Factor m(x).
-2*(x + 10)*(x + 11)
Factor -57*v**2 - 57 - 147 - 49*v**2 + 103*v**2 + 69 + 42*v.
-3*(v - 9)*(v - 5)
Factor -369/4*z + 189/2 + 129/4*z**2 - 19/4*z**3 + 1/4*z**4.
(z - 7)*(z - 6)*(z - 3)**2/4
Factor 3/5*x**4 + 0 + 0*x - 186/5*x**2 + 87/5*x**3.
3*x**2*(x - 2)*(x + 31)/5
Let h(x) = 2*x**3 + 10*x**2. Let o(c) = 11*c**3 + 17*c**2 + 174*c + 208. Let s(j) = -5*h(j) + o(j). Factor s(l).
(l - 26)*(l - 8)*(l + 1)
Factor 2490*u**4 - 51*u**3 + 51*u - 1241*u**4 - 1252*u**4 + 3*u**2.
-3*u*(u - 1)*(u + 1)*(u + 17)
Let t(o) = 3170*o + 640. Let s(a) = a**2 + 793*a + 160. Let d(r) = -25*s(r) + 6*t(r). Factor d(n).
-5*(n + 32)*(5*n + 1)
Let a(u) be the third derivative of 6*u**7/35 - 19*u**6/30 - 61*u**5/15 - 29*u**4/6 + 8*u**3/3 - u**2 - 2731. Factor a(y).
4*(y - 4)*(y + 1)**2*(9*y - 1)
Let h(g) be the second derivative of -3*g**5/40 + 13*g**4/8 - 9*g**3 + 2*g - 124. Let h(l) = 0. What is l?
0, 4, 9
Let i(f) be the first derivative of 60*f**2 + 5/6*f**6 + 0*f + f**5 - 25/2*f**4 - 34 - 20/3*f**3. Factor i(c).
5*c*(c - 2)**2*(c + 2)*(c + 3)
Suppose -112/13*v**2 - 230/13*v - 116/13 + 2/13*v**3 = 0. What is v?
-1, 58
Let w = 208/12183 - -157547/48732. Let -5 - 1/4*k**3 - 8*k - w*k**2 = 0. What is k?
-10, -2, -1
Let b(z) be the third derivative of z**7/630 - 89*z**6/180 + 551*z**5/12 - 841*z**4/2 - 2*z**2 - 337*z + 4. Factor b(a).
a*(a - 87)**2*(a - 4)/3
Let j be (-3232)/(-60)*-9 - (-4)/5. Let l = j - -484. Suppose l + 15/7*r**2 + 12/7*r**3 + 6/7*r + 3/7*r**4 = 0. Calculate r.
-2, -1, 0
Suppose 117*u - 118*u - 5*m = 2, 4*m + 4 = 0. Let w(a) be the first derivative of -3*a - 15/2*a**2 + 21 - 4*a**u. Suppose w(c) = 0. What is c?
-1, -1/4
Suppose 0 = 3*g + 6 - 27. Determine u so that 15 - 4*u**5 - 14 - 64*u**3 + 26*u**4 + 74*u**2 - 40*u + g = 0.
1/2, 1, 2
Let b(s) be the second derivative of s**6/10 - 9*s**5/5 - 43*s**4/4 - 15*s**3 - 8*s - 117. Find u, given that b(u) = 0.
-2, -1, 0, 15
Let w(x) be the third derivative of x**5/360 - 29*x**4/48 + 30*x**3 + 4992*x**2. Determine h so that w(h) = 0.
15, 72
Let y be (14/6 - -1) + (-934)/(-1401). Solve -2/13*x**5 + 12/13 + 8/13*x**y + 0*x**3 - 20/13*x**2 + 2/13*x = 0.
-1, 1, 2, 3
Let n(b) = -b**3 + 11*b**2 - 756*b + 8319. Let z be n(11). Factor -8/7*d**z + 8/7*d + 2/7 - 2/7*d**2.
-2*(d - 1)*(d + 1)*(4*d + 1)/7
Let a(d) = 71*d**2 - 10338*d + 702. Let g(v) = -2*v**2 + v - 9. Let f(z) = a(z) - 22*g(z). Find b, given that f(b) = 0.
2/23, 90
Let l(x) = -x**2 - 9*x - 6. Let v be l(-8). Let b(d) = -d**2 + 2*d + 85. Let k be b(0). Let -8*y**v + 12*y + 4*y - 53 - 4*y**3 + k = 0. Calculate y.
-2, 2
Let q be (1/2)/((25 + -33)*1/(-4)). Let o(z) be the first derivative of -3/4*z**3 - q*z**2 + 19 + 0*z - 7/16*z**4. Factor o(i).
-i*(i + 1)*(7*i + 2)/4
Let i(l) = 6*l**2 - 41*l - 80. Let d(k) be the first derivative of 2*k**3/3 - 10*k**2 - 40*k + 13. Let c(s) = -5*d(s) + 2*i(s). Suppose c(q) = 0. Calculate q.
-5, -4
Let l(g) be the first derivative of -g**5/20 + 41*g**4/8 + 6*g**2 - 10*g + 89. Let x(k) be the second derivative of l(k). Let x(s) = 0. Calculate s.
0, 41
Let a be 16/(-96) + (-50)/(-12). Suppose -a*v + 27 = h + v, -3*h + 2*v = 4. Suppose -13*x**h + 2*x**2 - 8*x**2 - 18*x - 2*x**2 - 3*x**3 = 0. Calculate x.
-6, -1, 0
Let j(d) be the first derivative of 3/5*d**3 - 3/20*d**4 + 3/5*d**2 - 1/10*d**6 - 63 - 9/25*d**5 + 0*d. Suppose j(g) = 0. Calculate g.
-2, -1, 0, 1
Let z be 132/110 + (-66)/(-45). Let b(d) be the first derivative of -6*d**2 + 3*d**4 - 15 - 8*d + z*d**3. What is h in b(h) = 0?
-1, -2/3, 1
Let d(g) be the second derivative of 99*g**5/4 - 6445*g**4/12 + 5510*g**3/3 - 110*g**2 + 610*g + 2. Factor d(l).
5*(l - 11)*(l - 2)*(99*l - 2)
Suppose -8 = 2*h, -f - 3*h - 2 = 3. Determine i so that -3*i**2 - 5*i**3 - 2*i**2 - i**4 + 4*i**3 + f*i**2 = 0.
-2, 0, 1
Let s(h) be the third derivative of 0*h - 14*h**2 - 1/390*h**5 - 1 - 1/39*h**3 - 1/78*h**4. Suppose s(d) = 0. What is d?
-1
Let v(z) = 2*z - 5. Let i be v(4). Let k(l) = -1063*l + 9571. Let r be k(9). Let -6/7*n**i + 0*n**2 - 2/7*n**r + 0 + 8/7*n = 0. What is n?
-2, 0, 1
Let f(j) = 26*j**2 - 17*j - 9. Let p(n) = n**2 - n - 8. Let q be p(-3). Let u(i) = 25*i**2 - 15*i - 10. Let r(v) = q*u(v) - 5*f(v). Factor r(k).
-5*(k - 1)*(6*k + 1)
Let z(l) be the first derivative of -32*l + 40 + 22*l**4 + 4/5*l**5 + 100/3*l**3 - 4/3*l**6 - 4*l**2. Determine r so that z(r) = 0.
-2, -1, 1/2, 4
Suppose -2*p + 46 = d - 151, 2*p - 4*d - 182 = 0. Factor p*x - 3*x**2 + 10*x - 11*x - 769 + 1.
-3*(x - 16)**2
Let n(j) = 192*j**2 + 2*j - 1. Let s be n(1). Suppose 5*k - v - s = 0, -2*v + v - 3 = 0. Factor 6*a**2 + 8*a**3 - 36*a**4 + 3 - 8*a - 11 + k*a**4.
2*(a - 1)*(a + 1)*(a + 2)**2
Let w be (-35 - -28) + 14 + 16/(-4). Let k(u) be the second derivative of 5/9*u**4 + 27*u + 7/90*u**5 + 4/3*u**w + 8/9*u**2 + 0. Factor k(h).
2*(h + 2)**2*(7*h + 2)/9
Let h(f) be the third derivative of 3*f**7/280 + 7*f**6/60 + 7*f**5/40 - f**4/2 - 3*f**3 + 3*f**2 + 15*f. Let z(p) be the first derivative of h(p). Factor z(g).
3*(g + 1)*(g + 4)*(3*g - 1)
Let r(k) be the first derivative of 5*k**3/12 - 1885*k**2/2 + 710645*k + 1684. Factor r(y).
5*(y - 754)**2/4
Let n(y) be the second derivative of -y**6/6 + 45*y**5/4 - 6*y + 82. Factor n(z).
-5*z**3*(z - 45)
Let f(b) = 2134 - 48*b + 7*b**2 - 1987 + 0*b**2. Let n(q) = 64*q**2 - 432*q + 1324. Let y(m) = 28*f(m) - 3*n(m). Factor y(k).
4*(k - 6)**2
Factor -2727/4*b + 1/4*b**2 - 682.
(b - 2728)*(b + 1)/4
Let z(u) be the first derivative of -36 + 3/2*u**6 - 3*u**2 + 5*u**3 - 3*u**5 - 3/4*u**4 + 0*u. Suppose z(p) = 0. Calculate p.
-1, 0, 2/3, 1
Let -1616*b**2 - 116/7*b**4 + 2076/7*b**3 + 2/7*b**5 - 7500/7 + 16850/7*b = 0. Calculate b.
1, 6, 25
Factor 128/7*g - 2/7*g**2 + 130/7.
-2*(g - 65)*(g + 1)/7
Let -12/7*y**2 - 2/7*y**4 + 0 + 2*y**3 + 0*y = 0. Calculate y.
0, 1, 6
Let v = -22896 + 22899. Let u(s) be the first derivative of -v + 3*s**3 - 69/2*s**2 + 42*s. Factor u(f).
3*(f - 7)*(3*f - 2)
Let r be (-1014)/(-66) - 25*(-12)/(-20). Determine o so that r*o**4 + 8/11*o + 6/11*o**2 + 0 - 18/11*o**3 = 0.
-1/2, 0, 1, 4
Let n(w) be the second derivative of -11/40*w**5 + 0 + 0*w**2 + 1/15*w**6 + 0*w**3 + 1/4*w**4 - 135*w + 1/84*w**7. Solve n(m) = 0 for m.
-6, 0, 1
Let p(x) = -9*x - 14. Let b be p(-7). Suppose -24*w - 15*w**3 + 3 - 9*w**2 + 7 - 11*w + b*w**2 = 0. Calculate w.
2/3, 1
Let u(c) = -c**3 - 12*c**2 - 32*c + 3. Let s be u(-8). Let j(v) be the first derivative of 11 + 1/12*v**s + 1/4*v**2 - 3/4*v. Let j(w) = 0. Calculate w.
-3, 1
Let h(c) = -2*c**2 + 32*c + 1. Let g be h(16). Let r be (-18)/(-12)*-2*(-1)/g. Solve 25*j**2 - 72*j - 60 + 10*j**2 - 88*j**3 - 2*j**2 + 97*j**r = 0.
-5, -2/3, 2
Let -7185*v**2 + 197*v**4 + 67*v**4 - 269*v**4 + 46060 + 38500*v + 370*v**3 = 0. Calculate v.
-1, 14, 47
Let k(j) be the third derivative of 1/3*j**4 - 35*j - 2*j**2 - 8/3*j**3 + 0 + 1/120*j**6 + 7/60*j**5. Let k(c) = 0. Calculate c.
-4, 1
Let -1225*i + 468*i**2 + 469*i**2 + 464*i**2 - 1406*i**2 - 1220 = 0. What is i?
-244, -1
Let z be (-36)/(-64)*36 - 2/8. Factor -z*j**3 - 8*j**2 - 4*j**5 - 16*j**4 - 10*j + 8*j + 2*j.
-4*j**2*(j + 1)**2*(j + 2)
Factor 427*h**4 + 27*h**3 - 143*h**4 - 144*h**4 + 21*h**2 - 135*h - 137*h**4 + 84.
3*(h - 1)**2*(h + 4)*(h + 7)
Let i be 21774/570 + 3/(-15). Let x be -2*(2 + -3 + -1). Suppose 50*o**2 + 8 + 8*o**4 + 10*