3)/4
Let x be (-19360)/(-275) + -64 - (2 - 3)*-2. Suppose 2/15*t**2 + x*t + 0 = 0. Calculate t.
-33, 0
Let z = 94229/5 + -18845. Let l(d) be the first derivative of 4/15*d**3 + 1/10*d**4 - z*d - 1/5*d**2 + 34. Find s, given that l(s) = 0.
-2, -1, 1
Let i = -146454 - -732274/5. Factor -2*k**3 + 0*k - 8/5*k**4 + 0 - 2/5*k**5 - i*k**2.
-2*k**2*(k + 1)**2*(k + 2)/5
Let c = -295 - -310. Let c*l - 16*l**3 + 24*l**2 + 24 + 5 - 27 = 0. Calculate l.
-1/4, 2
Solve 1028 - 162*k**2 - 14*k**3 - 366*k**2 - 1563*k - 189*k - 484 = 0 for k.
-34, -4, 2/7
Let -39/5*q**2 - q**3 - 52/5*q + 12/5 = 0. Calculate q.
-6, -2, 1/5
Let t(a) = 3*a**3 + 81*a**2 + 90*a + 33. Let b(s) = 8*s**3 + 163*s**2 + 183*s + 63. Let d(n) = -3*b(n) + 5*t(n). Factor d(z).
-3*(z + 1)*(z + 8)*(3*z + 1)
Let z(o) = -22*o - 978. Let y be z(-45). Suppose 5*g - 3*n = -0*n + 25, 4*g = -4*n - y. Factor 0*q + 1/2*q**5 + 0*q**g + 0 + q**4 + 0*q**3.
q**4*(q + 2)/2
Factor 40 - 1/2*t**2 - 11/2*t.
-(t - 5)*(t + 16)/2
Suppose 0 = 5*d - 2*g - 1, 3*d + 3*g + 1 = 31. Suppose 9/2*r**4 - 21*r**5 - 12 - 54*r + 195/2*r**d - 15*r**2 = 0. Calculate r.
-2, -1/2, -2/7, 1, 2
Let w(u) be the second derivative of -u**4/60 + 31*u**3/15 + 64*u**2/5 + 11*u + 18. Factor w(h).
-(h - 64)*(h + 2)/5
Let n(t) = -5*t**5 + 2*t**4 - 5*t**3 - 12*t**2 + 9*t + 3. Let j(r) = -13*r**5 + 6*r**4 - 15*r**3 - 34*r**2 + 24*r + 8. Let w(d) = 3*j(d) - 8*n(d). Factor w(l).
l**2*(l - 2)*(l + 1)*(l + 3)
Let n be 5/(20/(-6))*(-16)/8. Factor 29*w - w**2 - w**n + w**2 + w**2 - 27*w.
-w*(w - 2)*(w + 1)
Suppose 0 = -n + 20*v + 73 - 29, 5*n - 22 = v. Factor -n + 2/5*f**2 - 18/5*f.
2*(f - 10)*(f + 1)/5
Let i(f) be the second derivative of -36963*f**5/140 - 111*f**4 - 14*f**3 - 17*f - 157. Factor i(n).
-3*n*(111*n + 14)**2/7
Let v be 1 + (-60)/35 + 3 + (-9290)/(-70). Suppose 3/4*q**4 + 183/4*q**2 - v*q + 27/2*q**3 + 75 = 0. What is q?
-10, 1
Let g(b) be the third derivative of b**7/11340 - 7*b**6/3240 + b**5/90 + 311*b**4/24 + b**2 + 81*b. Let x(f) be the second derivative of g(f). Factor x(w).
2*(w - 6)*(w - 1)/9
Let l be 0*(34/(-68))/(1/2). Let o(q) = -q**3 + q**2 + 2*q + 3. Let u be o(l). Factor 1/6*z**4 + 0 + 1/6*z**u + 0*z**2 + 0*z.
z**3*(z + 1)/6
Let h(m) = -m**3 - 35*m**2 + 50*m + 504. Let i be h(-36). Let t = -19595/17 - -1153. Determine o, given that t*o + i - 2/17*o**2 = 0.
0, 3
Suppose -5*z - 15 + 90 = 0. Suppose -41*t + z*t + 104 = 0. Factor 1/2*a + 1/4*a**t + 0 - 1/2*a**3 - 1/4*a**2.
a*(a - 2)*(a - 1)*(a + 1)/4
Let x(m) be the third derivative of -m**6/540 + 461*m**5/90 - 212521*m**4/36 + 97972181*m**3/27 - 1615*m**2. Find l such that x(l) = 0.
461
Let k(b) = 4*b**2 - 52*b - 112. Let x be 2/(-8) - (-8 + (-252)/(-16)). Let v(m) = -m**2 + m + 2. Let y(q) = x*v(q) - k(q). Factor y(l).
4*(l + 3)*(l + 8)
Let u = -105098 - -736496/7. Solve 288/7*i**3 + 32/7*i + 0 - 248/7*i**2 + u*i**4 = 0 for i.
-4/5, 0, 2/9
Let f be (-9)/9 + ((-1293)/(-477) - 1). Let q = f + -7/159. Suppose 2*c + q*c**2 + 4/3 = 0. What is c?
-2, -1
Let b(w) = -w**3 + w**2 + w + 1. Let v(s) = 25 + 3856*s**3 - 3916*s**3 + 108*s**2 - 7 - 36*s. Let q(c) = 15*b(c) - v(c). Solve q(y) = 0 for y.
1/15, 1
Let r(z) be the second derivative of z**7/13860 + z**6/3960 - z**5/330 - z**4 - 49*z. Let q(k) be the third derivative of r(k). Solve q(a) = 0.
-2, 1
Let a be 205380/294 + (16 - -26). Factor 6912/7 - a*p + 2/7*p**4 + 144*p**2 - 76/7*p**3.
2*(p - 12)**3*(p - 2)/7
Let d(j) = 17*j**3 + 400*j**2 + 414*j - 811. Let x(n) = 21*n**3 + 399*n**2 + 414*n - 810. Let o(a) = -6*d(a) + 5*x(a). Let o(u) = 0. Calculate u.
-2, 1, 136
Factor -100*l + 167 - 836*l**2 + 832*l**2 - 503.
-4*(l + 4)*(l + 21)
Suppose -444 = -2*f - 10*f. Factor f*o**2 - 3*o + 4*o - 8*o + 6 - 36*o**2.
(o - 6)*(o - 1)
Let j = 2871 - 2833. Let t(v) = v**2 + v + 1. Let n be t(-2). Let 18*f - 432 + j*f - n*f**2 - 23*f + 39*f = 0. What is f?
12
Suppose -u + 3*q - 6 = 0, -q = u - 0*u - 6. Let -38*k + 27*k**2 + 2*k + u*k**3 + 9 - 27*k + 24 = 0. What is k?
-11, 1
Suppose 0*d - 30 = 5*d. Let s be (14/21)/((-2)/d). Determine l so that -2*l**2 - 3*l + 6*l + 5*l**s - l**2 = 0.
-3/2, 0
Let h(f) be the first derivative of 5*f**4/4 - 230*f**3 - 1410*f**2 - 2840*f + 5819. Solve h(z) = 0.
-2, 142
Let f(b) be the second derivative of 0 - 1/24*b**3 + 15*b + 1/240*b**5 + 0*b**4 - 11/2*b**2. Let a(n) be the first derivative of f(n). Factor a(z).
(z - 1)*(z + 1)/4
Let c(b) = -3*b**3 - 1791*b**2 - 261066*b + 262848. Let h(m) = -3*m**2 + m. Let d(k) = -c(k) + 6*h(k). Let d(y) = 0. Calculate y.
-296, 1
Let r = 271473 - 814415/3. Factor 0 + 44/9*f**3 - r*f + 32/9*f**2.
4*f*(f + 1)*(11*f - 3)/9
Let u(v) be the second derivative of 5*v**4/12 + 25*v**3/6 + 15*v**2 + 1117*v + 2. Factor u(b).
5*(b + 2)*(b + 3)
Suppose -3/4*f**4 + 0 + 0*f + 3/2*f**3 + 6*f**2 = 0. What is f?
-2, 0, 4
Let a(k) be the second derivative of k**7/630 + k**6/180 - 3*k**4/4 + 177*k. Let q(l) be the third derivative of a(l). Solve q(i) = 0 for i.
-1, 0
Factor 0 + 6*s**2 + 2/3*s**4 - 32/3*s**3 + 60*s.
2*s*(s - 15)*(s - 3)*(s + 2)/3
Let d(l) be the second derivative of -1/60*l**6 + 0*l**2 + 0*l**3 + 0*l**4 + 0 + 280*l + 1/100*l**5. Let d(s) = 0. Calculate s.
0, 2/5
Let i(g) be the first derivative of -1/2*g**2 + 0*g + 5/3*g**3 - 59. Factor i(j).
j*(5*j - 1)
Let g(q) = 2*q**2 + 1. Let r(k) = -6*k**2 - 4*k - 4. Let n = -953 + 949. Let z(x) = n*g(x) - r(x). Factor z(v).
-2*v*(v - 2)
Factor 43552*c**3 - 120*c - 43522*c**3 - 3*c**4 - 2*c**4 + 95*c**2.
-5*c*(c - 8)*(c - 1)*(c + 3)
Let x(v) = -v**4 - 23*v**3 + 81*v**2 - 85*v + 12. Let g(r) = 9*r**4 + 183*r**3 - 648*r**2 + 681*r - 99. Let j(o) = 4*g(o) + 33*x(o). What is a in j(a) = 0?
0, 3
Let n(l) be the second derivative of l**7/84 - l**6/20 - l**5/40 + 7*l**4/24 - l**2 + 1384*l. Determine b, given that n(b) = 0.
-1, 1, 2
Let u(w) be the third derivative of w**6/168 + 11*w**5/210 - 85*w**4/168 + w**3 - 909*w**2. Find p such that u(p) = 0.
-7, 3/5, 2
Let u = 36 - 36. Suppose -4*h - 114 + 122 = u. Solve -4/3*d**h - 4/3*d**3 + 8/3*d + 0 = 0.
-2, 0, 1
Let o = 302 + -307. Let v(j) = j**2 - 8*j - 3. Let q(c) = 2*c**2 - 15*c - 5. Let n(h) = o*v(h) + 3*q(h). Factor n(z).
z*(z - 5)
Let w(l) be the first derivative of -l**5/25 - l**4/3 - 14*l**3/15 - 6*l**2/5 + 48*l + 38. Let v(t) be the first derivative of w(t). Factor v(k).
-4*(k + 1)**2*(k + 3)/5
Let w(k) be the second derivative of -2*k**7/7 - 14*k**6/15 + 6*k**5/5 + 4*k**4 - 16*k**3/3 - 2137*k. Determine y, given that w(y) = 0.
-2, 0, 2/3, 1
Let i(j) = -11*j**5 + 17*j**4 + 54*j**3 + 7*j**2 - 88*j. Let n(k) = 3*k**5 - 6*k**4 - 18*k**3 - 2*k**2 + 29*k. Let w(c) = 2*i(c) + 7*n(c). Factor w(o).
-o*(o - 1)*(o + 3)**3
Let b(x) be the first derivative of x**4/30 - 44*x**3/45 + 161*x**2/15 - 784*x/15 + 1716. Factor b(d).
2*(d - 8)*(d - 7)**2/15
Let j(g) be the second derivative of g**5/390 - 7*g**4/156 + 4*g**3/13 + 41*g**2/2 + 32*g. Let x(q) be the first derivative of j(q). Let x(r) = 0. Calculate r.
3, 4
Let r = 206191 + -2268099/11. Factor -96/11 - 16/11*p**2 - r*p**3 + 8*p.
-2*(p - 2)**2*(p + 12)/11
Let x(i) be the third derivative of -127*i**6/200 - 31*i**5/25 + 3*i**4/40 + 882*i**2. Factor x(q).
-3*q*(q + 1)*(127*q - 3)/5
Factor -1/2*j**2 - 101/2 + 51*j.
-(j - 101)*(j - 1)/2
Let d(o) be the third derivative of -o**5/270 - o**4/2 + 55*o**3/27 - 31*o**2 + o. Factor d(w).
-2*(w - 1)*(w + 55)/9
Let a(u) = -11*u**3 + 25*u**2 - 48. Let n(t) = -21*t**3 + 50*t**2 - 88. Let x(s) = -11*a(s) + 6*n(s). Factor x(m).
-5*m**2*(m - 5)
Let p(o) = -19*o**2 + 2023*o - 181630. Let f(x) = -9*x**2 + 1014*x - 90816. Let l(v) = 13*f(v) - 6*p(v). Factor l(i).
-3*(i - 174)**2
Let c = 17541 + -473605/27. Let b(m) be the first derivative of -1/18*m**4 - 2*m + 18 + c*m**3 + m**2. Find d such that b(d) = 0.
-3, 1, 3
Let p(g) = 41*g**4 + 5*g**3 + 12*g**2 - 32*g - 38. Let y(h) = -116*h**4 - 15*h**3 - 35*h**2 + 96*h + 113. Let c(n) = -17*p(n) - 6*y(n). What is k in c(k) = 0?
-2, -1, 4
Factor 22*t**3 + 3885*t**2 - 14*t**4 + 12*t**4 - 8*t - 3883*t**2 - 14*t.
-2*t*(t - 11)*(t - 1)*(t + 1)
Let f(r) be the first derivative of -21*r**5/5 - 3*r**4/4 + 4*r**3 + 6*r**2 + 900. Let a(c) = -6*c**4 + 2*c**4 + 3*c**4. Let h(g) = 18*a(g) - f(g). Factor h(q).
3*q*(q - 2)*(q + 1)*(q + 2)
Let 198375 + 3/5*f**2 + 690*f = 0. What is f?
-575
Let p(