1
Suppose 0 = -y - 8*t + 12*t + 1, 0 = 2*t - 10. Find n such that 9*n**2 - 82*n**3 + 27*n**3 + y*n**3 - 36 + 31*n**3 + 12*n = 0.
-2, 2, 3
Let w = 747929 - 747927. Factor 2 + 5/3*b + 1/3*b**w.
(b + 2)*(b + 3)/3
Let t(c) be the second derivative of c**6/105 - 3*c**5/35 + 4*c**4/21 + 2*c**3/7 - 9*c**2/7 - 3*c - 21. Factor t(g).
2*(g - 3)**2*(g - 1)*(g + 1)/7
Let l(a) be the second derivative of -a**7/105 - 2*a**6/75 + a**5/10 + a**4/5 - a + 34. Solve l(x) = 0.
-3, -1, 0, 2
Factor -4 + 51*i**2 - 156*i - 3 + 7 + 85*i**3 - 88*i**3.
-3*i*(i - 13)*(i - 4)
Let -40/3*x - 2*x**2 + 0 = 0. What is x?
-20/3, 0
Suppose -11 - 367 = -9*o. Factor -130*r**2 - 168*r - 30 - 81*r**3 - 2*r**4 + 8*r**2 - o + 53*r**3.
-2*(r + 1)**2*(r + 6)**2
Let d(m) = 39*m**3 + 72*m**2 - 8*m - 4. Let t = -261 - -265. Let w(o) = 39*o**3 + 72*o**2 - 9*o - 3. Let u(a) = t*w(a) - 3*d(a). Factor u(i).
3*i*(i + 2)*(13*i - 2)
Let d(c) = -12*c**4 + c**3 - c**2 - c - 1. Let b(o) = 245*o**4 - 85*o**3 - 505*o**2 - 815*o - 360. Let p(q) = b(q) + 20*d(q). Factor p(x).
5*(x - 19)*(x + 1)**2*(x + 4)
Let v(b) be the third derivative of 66*b**2 + 1/3864*b**8 + 2/69*b**4 + 0*b**3 + 2/2415*b**7 - 1/345*b**5 + 3*b - 3/460*b**6 + 0. Suppose v(j) = 0. Calculate j.
-4, -1, 0, 1, 2
Suppose -120*p**3 - 500*p**2 - 782*p**2 - 5*p**4 - 891*p - 949*p + 367*p**2 + 2880 = 0. Calculate p.
-9, -8, 1
Let y(o) be the second derivative of -1 + 1/27*o**3 - 16*o + 2/9*o**2 - 1/54*o**4. Let y(v) = 0. Calculate v.
-1, 2
Let v be 2 + 6/12*(-4 + 0). Factor 3*m**2 - 1 + 0 + v - 2*m**2.
(m - 1)*(m + 1)
Suppose 0 = 21*r - 205 - 173. Let h be 0/3 + 0 - r/(-24). Let 0*c**3 - h*c**2 + 1/4*c**4 + 0 + 1/2*c = 0. What is c?
-2, 0, 1
Let n(d) be the third derivative of -13/5*d**3 - 11/40*d**4 + 1/100*d**5 + 0*d + 234*d**2 + 0. What is t in n(t) = 0?
-2, 13
Let j(n) be the third derivative of -88/3*n**3 + 0 - 129*n**2 - 43/6*n**4 + 0*n + 1/15*n**5. Factor j(o).
4*(o - 44)*(o + 1)
Suppose 0 + 90*h + 0*h**3 - 633/7*h**2 + 3/7*h**4 = 0. Calculate h.
-15, 0, 1, 14
Let f = 294 - 293. Let s be ((-30)/4)/f*2/(-20). Factor -3*v + 0 + s*v**2.
3*v*(v - 4)/4
Let 728*i**2 - 543150*i**3 - 482*i - 126*i + 543162*i**3 - 384*i = 0. Calculate i.
-62, 0, 4/3
Let b(h) be the first derivative of 3*h**5/40 - 969*h**4/32 - 981*h**3/4 - 2955*h**2/4 - 987*h - 4131. Solve b(p) = 0.
-2, 329
Find u, given that u**3 + 4*u**2 - 1987 - 2706 - 2475 + 125*u - 765*u = 0.
-16, 28
Let n be ((-12)/(-20) + -3)*(10 + (-1885)/182). Solve -3/7*m**4 + 27/7 + 54/7*m + 24/7*m**2 - n*m**3 = 0.
-3, -1, 3
Factor 2/11*b**2 - 2628/11 - 10*b.
2*(b - 73)*(b + 18)/11
Let p(o) = -94*o**3 - 13*o**2 + 60*o - 72. Let g(z) = 27*z**3 + 4*z**2 - 20*z + 24. Let f(t) = 14*g(t) + 4*p(t). Factor f(m).
2*(m - 2)**2*(m + 6)
Let v(h) be the second derivative of -h**7/49 - 92*h**6/35 - 864*h**5/7 - 16200*h**4/7 - 54000*h**3/7 + 13*h - 8. Factor v(g).
-6*g*(g + 2)*(g + 30)**3/7
Suppose 3/7*z**5 + 48/7*z**4 + 0 - 2484*z**2 + 18468/7*z - 1131/7*z**3 = 0. Calculate z.
-18, 0, 1, 19
Let i = -2042/49 - -9491/196. Factor -15/2 + 3/4*h**2 - i*h.
3*(h - 10)*(h + 1)/4
Factor 3/7*y**5 - 33/7*y**4 + 54/7*y**3 + 27/7 - 57/7*y + 6/7*y**2.
3*(y - 9)*(y - 1)**3*(y + 1)/7
Find j such that -814*j + 4099*j - 1647*j + 392*j - 2*j**2 = 0.
0, 1015
Suppose -114*q + 87*q = -13851. Let d be 2/(q/126 - 4). Suppose -d - 4/7*a**2 - 8*a = 0. What is a?
-7
Let c = 323168/7 + -46166. Find t, given that -2/7*t**3 + 8/7*t**2 + 0 - c*t = 0.
0, 1, 3
Let d(b) = -b**3 + 14*b**2 - 7*b + 21. Let m be d(9). Suppose m = 3*i + 93. Factor -3*n**3 - 24 + 139*n**2 - i*n**2 - 36*n - 67*n**2.
-3*(n + 2)**3
Let k(x) = -4*x**2 + x - 5. Let i(q) = 25*q**2 - 237*q + 30. Let m(v) = -i(v) - 6*k(v). Factor m(w).
-w*(w - 231)
Suppose 0 = -6*n - n + 32*n. Suppose 0 = 12*g - 13*g + m, n = -g - 5*m + 18. Factor 0 - 1/5*j**g - 3/5*j**4 + 0*j + 0*j**2.
-j**3*(3*j + 1)/5
Find v, given that -57/5 - 16/5*v + 1/5*v**2 = 0.
-3, 19
Let n(v) be the third derivative of v**8/4480 + v**7/840 - v**6/60 + 11*v**4/24 - v**3/3 + 124*v**2. Let c(m) be the second derivative of n(m). Factor c(p).
3*p*(p - 2)*(p + 4)/2
Let h(b) be the first derivative of -75 - 1089/2*b**2 - 1/12*b**4 + 11*b**3 + 11979*b. Factor h(i).
-(i - 33)**3/3
Factor -48*l + 468 - 566*l**2 + 1686*l**2 - 564*l**2 + 198*l - 558*l**2.
-2*(l - 78)*(l + 3)
Let k(w) = 20*w**3 - 1195*w**2 + 4460*w + 5750. Let f(s) = 5*s**3 - 299*s**2 + 1115*s + 1437. Let a(p) = 25*f(p) - 6*k(p). Factor a(q).
5*(q - 57)*(q - 5)*(q + 1)
Let -2 + 132*d - 113 - 165 - 2*d**2 + 150*d = 0. Calculate d.
1, 140
Let g(m) = -m**2 + m - 13. Let s(h) = 3. Let a(v) = -2*g(v) - 9*s(v). Let j(w) = -6*w**2 + 26*w + 40. Let b(x) = -4*a(x) - j(x). Factor b(c).
-2*(c + 3)*(c + 6)
Solve -130*q**4 - 959*q**3 + 679*q**3 + 140 + 23*q + q**5 + 252*q + 4*q**5 - 10*q**2 = 0 for q.
-1, 1, 28
Solve 51 - 8618*p + 253 + 4122*p + 4193*p - p**2 = 0 for p.
-304, 1
Let u(z) be the first derivative of 149 + 1/15*z**3 + 26/5*z**2 + 676/5*z. Factor u(j).
(j + 26)**2/5
Let s be 4/14 + 260/(-28). Let q = -7 - s. Factor 2*m**4 + 5*m - 5*m - 9*m**q + 12*m - 12*m**3 + 12 - 5*m**4.
-3*(m - 1)*(m + 1)*(m + 2)**2
Let g(x) = -24051*x - 48100. Let h be g(-2). What is q in -1/4 + q**3 + q - 3/2*q**h - 1/4*q**4 = 0?
1
Let x(w) be the second derivative of 1/9*w**4 - 4/9*w**3 - w**2 + 2/15*w**5 + 1/45*w**6 - 68*w + 0. Factor x(y).
2*(y - 1)*(y + 1)**2*(y + 3)/3
Let l(v) be the second derivative of v**4/18 + 2200*v**3/9 + 1210000*v**2/3 + 11237*v. Determine m, given that l(m) = 0.
-1100
Let -239/3*y + 2/3*y**3 + 0 + 159*y**2 = 0. Calculate y.
-239, 0, 1/2
Let l(j) = -5*j**3 - 64*j**2 + 1173*j - 1074. Let k(i) = -55*i**3 - 705*i**2 + 12900*i - 11815. Let v(r) = -6*k(r) + 65*l(r). Find m, given that v(m) = 0.
-24, 1, 9
Let c be ((-64)/(-96))/(1/18*8). Let t(q) be the second derivative of 5/12*q**3 - c*q**2 + 0 - 1/24*q**4 - 3*q. Factor t(p).
-(p - 3)*(p - 2)/2
Determine h so that 2*h**2 + 2/11*h**3 + 50/11 + 70/11*h = 0.
-5, -1
Let b(h) be the first derivative of -h**2 + 2/3*h**3 - 49 + 1/2*h**4 - 2*h. Find s, given that b(s) = 0.
-1, 1
Let w(g) be the second derivative of g**5/390 - 55*g**4/78 + 3025*g**3/39 + 163*g**2/2 - 16*g - 1. Let o(x) be the first derivative of w(x). Factor o(h).
2*(h - 55)**2/13
Let t(j) be the second derivative of j**7/12600 - j**6/200 + 17*j**5/600 + j**4/6 + 68*j**2 - 25*j - 4. Let c(f) be the third derivative of t(f). Factor c(n).
(n - 17)*(n - 1)/5
Factor 48*k**2 + 0*k + 3/4*k**4 + 0 - 195/4*k**3.
3*k**2*(k - 64)*(k - 1)/4
Let n be ((-66)/836)/(87/4). Let v = 4454/12673 + n. Determine y so that 0 - v*y + 2/23*y**2 = 0.
0, 4
Suppose 0*o + 5*r - 60 = -5*o, 3*r - 51 = -4*o. Let d(y) = -5*y**4 - 15*y**3 + 40*y**2 + 30*y - 20. Let t(a) = -a**2 - a. Let h(z) = o*t(z) + d(z). Factor h(x).
-5*(x - 1)**2*(x + 1)*(x + 4)
Let h = -2304 - -2571. Let j = h - 265. Factor 3384/5*n + 622938/5*n**3 - 48/5 - 79524/5*n**j.
6*(47*n - 2)**3/5
Let v(g) = -83*g**5 - 17*g**4 + 103*g**2 + 89*g + 7. Let w(s) = -24*s**5 - 6*s**4 + 34*s**2 + 30*s + 2. Let z(m) = -4*v(m) + 14*w(m). Let z(y) = 0. What is y?
-2, 0, 2
Let k be 20/8 + (-5)/60*-6. Factor 146*z**3 - 285*z**4 - 252*z**2 - 549*z**3 - 24*z - 479*z**k - 744*z**4.
-3*z*(7*z + 2)**3
Suppose -2*g = -3*v - 6*g - 189, -2*g = -6. Let l = 117 + v. Factor -l*a + 2*a**2 - 2 - 2*a**3 + 52*a - 2*a**4 + 2.
-2*a*(a - 1)*(a + 1)**2
Let c(y) = -2*y**3 + 22*y**2 - 33*y - 5. Let x be c(8). Suppose 116*n = x*n. Suppose 0 + 2/9*q**2 + 2/9*q**3 + n*q = 0. What is q?
-1, 0
Let j be ((-84)/(-147))/((-4)/(-14)). Solve j*r**2 - 50*r**4 - 48*r**3 - 47*r**2 + 47*r**4 = 0.
-15, -1, 0
Let k(r) be the third derivative of -1/210*r**6 + 5*r**2 - 3 + 0*r**3 - 17/105*r**5 + 0*r + 0*r**4. Factor k(p).
-4*p**2*(p + 17)/7
Let w = 259635 - 259633. Let 0 + 7/3*x**3 - 2*x**w - 1/3*x**4 + 0*x = 0. Calculate x.
0, 1, 6
Suppose 3 + 1 = 2*u. Suppose 5*p - 4 = -2*d, -7*p = -3*p - u*d + 4. What is g in -2/13*g**3 + 2/13*g**5 + 0*g + p + 2/13*g**4 - 2/13*g**2 = 0?
-1, 0, 1
Factor -19/4*r**3 + 0 + 20*r**2 + 25*r + 1/4*r**4.
r*(r - 10)**2*(r + 1)/4
Let t be 2961/36 - (-1)/((-2)/(-8)). Let z = t - 86. Factor -1/4*m + 0*m**4 + 1/2*m**3 - z*m**5 + 0 + 0*m**2.
-m*(m - 1)**2*(m + 1)**2/4
Let j(s) be the first derivative of -5/4*s**4 - 5/3*s**3 + 5/2*s**2 + 6*s - 46 - 1/