*l - 243.
-3*(7*l - 3)**4
Solve 48*a - 140*a**2 + 169 + 55 + 138*a**2 = 0 for a.
-4, 28
Find d such that 94500 - 4/5*d**4 - 8*d**3 + 16200*d + 720*d**2 = 0.
-15, 35
Suppose -333/2*v - 3/2*v**2 - 327 = 0. What is v?
-109, -2
Let c be (9/6)/(1/2). Let j = 1456 + -1452. What is r in -13*r**2 + j*r**3 - r**c + 5*r**2 - 7*r**3 = 0?
-2, 0
Determine y so that 327/7 + 984/7*y + 9/7*y**2 = 0.
-109, -1/3
Let t(r) = -44*r**4 + 1792*r**3 - 14482*r**2 + 7844*r - 1085. Let v(u) = -u**4 - u**2 - 3. Let b(o) = -2*t(o) - 10*v(o). Determine p, given that b(p) = 0.
2/7, 11, 25
Let h(c) be the second derivative of -c**7/105 - 56*c**6/75 - 392*c**5/25 - 2540*c. Factor h(d).
-2*d**3*(d + 28)**2/5
Factor 21780 + 1/5*x**2 - 132*x.
(x - 330)**2/5
Let u = 1447/10 - 10069/70. Find c, given that 3/7*c**3 + 3/7*c + 0 + u*c**2 = 0.
-1, 0
Find s, given that 459 + s**3 - 2*s**2 - 400 - 128*s - 347 + s**2 - 9*s**2 = 0.
-4, 18
Let v(n) = -172*n - 1026. Let y be v(-6). Let x(m) be the third derivative of 1/40*m**y + 0*m + 0*m**3 + 0*m**4 + 1/20*m**5 + 0 - 4*m**2. Solve x(b) = 0 for b.
-1, 0
Factor 2/7*v**2 + 198/7*v + 28.
2*(v + 1)*(v + 98)/7
Suppose -13*p - 40 = -33*p. Factor -5*m**p + 70*m + 5*m + 185975 - 186155.
-5*(m - 12)*(m - 3)
Suppose -29*j + 33*j - 8 = 0. Factor -z + 50*z**2 + 0*z - 24*z**j - 24*z**2 - 3.
(z + 1)*(2*z - 3)
Suppose 0 = -z - 5*n + 1, z - 2*n = -5*n + 3. Let d(k) be the third derivative of -z*k**2 + 0 + 0*k**3 - 1/600*k**6 + 1/120*k**4 + 0*k + 0*k**5. Factor d(h).
-h*(h - 1)*(h + 1)/5
Let l(o) be the third derivative of -311*o**5/80 + 317*o**4/96 - o**3/12 - 2*o**2 + 698. Factor l(b).
-(3*b - 1)*(311*b - 2)/4
Let v be 3 + ((-85)/30 - 3) + (-14)/(-4). Factor 0*i - 2/3*i**3 - v*i**2 + 0.
-2*i**2*(i + 1)/3
Find m, given that -4*m**3 - 1420*m**2 - 180 + 1105*m - 2930*m - 1232 - 1003*m = 0.
-353, -1
Let u = -3294/11 + 6621/22. Suppose 2 = h - 2*j, 1 + 1 = h - 3*j. Suppose 15/2*l + u*l**h + 0 = 0. Calculate l.
-5, 0
Let w(y) be the third derivative of -8/5*y**3 + 0*y - 1/300*y**6 + 0 - 147*y**2 + 29/60*y**4 - 2/75*y**5. Factor w(i).
-2*(i - 3)*(i - 1)*(i + 8)/5
Let w(d) be the second derivative of 3*d**5/40 - 15*d**4/4 - d**3/4 + 45*d**2/2 + 933*d. Factor w(n).
3*(n - 30)*(n - 1)*(n + 1)/2
Let i be (39168/11880 - 2) + 2/55. Factor -4/3 - 1/3*w**2 - i*w.
-(w + 2)**2/3
Suppose -461*b + 445*b = 172*b - 564. Let -51/8*h + 15/4*h**2 - 3/8*h**b + 3 = 0. Calculate h.
1, 8
Let m be (-8 - -6)*2 - -880. Factor 6655 - 178*w**2 - m*w + 343*w**2 - 5*w**3 - 939*w.
-5*(w - 11)**3
Let n(o) = o**3 - 173*o**2 - 5171*o + 78. Let g be n(-26). Factor g + 0*i**3 + 0*i - 2/5*i**4 + 2/15*i**5 + 8/15*i**2.
2*i**2*(i - 2)**2*(i + 1)/15
Suppose -2*l**5 + 9504*l - 1200*l**3 + 5*l**5 - 64460738*l**4 + 3396*l**2 - 18624 + 64460459*l**4 = 0. What is l?
-4, 2, 97
Let g = -78273 + 156547/2. Determine w, given that -g*w**2 + 4*w + 9/2 = 0.
-1, 9
Let q(h) = 41*h**2 + 351*h - 1174. Let i(p) = -22*p**2 - 166*p + 588. Let u(f) = 11*i(f) + 6*q(f). Factor u(o).
4*(o - 2)*(o + 72)
Let w(y) be the first derivative of 11*y**4/10 + 646*y**3/15 + 142*y**2 + 432*y/5 - 3149. What is o in w(o) = 0?
-27, -2, -4/11
Solve -1/2*p**4 - 1050*p**2 - 46875/2 + 10625*p + 39*p**3 = 0.
3, 25
Suppose -4*h + 15 = r, 0 = h + 3*r + 1 - 2. Factor 80*a**3 - 141*a**5 + 136*a**5 - 49*a**4 + 19*a**h.
-5*a**3*(a - 2)*(a + 8)
Factor 3651*q - 1690*q + 4*q**2 + 444 - 1801*q.
4*(q + 3)*(q + 37)
Let r(t) = t**2 + 6*t - 9. Let v be r(-6). Let d = v - -11. Determine g so that -46*g**2 + 23*g**d + 4*g + 21*g**2 - 2 = 0.
1
Let y(i) be the first derivative of -4/15*i**3 + 3/5*i + 1/10*i**2 - 80. Factor y(k).
-(k - 1)*(4*k + 3)/5
Let o(a) = -6633*a + 6636. Let q be o(1). Solve -1/3*h**4 + 1/3*h**q - 1/3*h + 0 + 1/3*h**2 = 0.
-1, 0, 1
Suppose 34*p - 102 = 1292. Suppose -4*b + 0 + 4 = -4*n, 0 = 5*n + 5*b - 25. Solve 10*m**3 + 48*m**4 - p*m**2 - 15*m**n + 12*m - 14 - 28*m**5 + 6*m**3 + 22 = 0.
-1, -2/7, 1
Let o(d) be the second derivative of -2*d**6/15 + 19*d**5/5 - 38*d**4 + 520*d**3/3 - 400*d**2 + 3891*d. Factor o(y).
-4*(y - 10)*(y - 5)*(y - 2)**2
Let m(h) = -h**3 + 5*h + 5. Let s be m(-2). Let i be 2/s*(-42)/(-28). Factor 4/3*o + 1/3*o**2 + i.
(o + 1)*(o + 3)/3
Let p(n) be the third derivative of n**7/1260 + n**6/120 + 275*n**4/24 + 55*n**2. Let h(r) be the second derivative of p(r). Factor h(b).
2*b*(b + 3)
Let s(m) = 3*m**2 + 198*m + 141. Let x(g) = -3*g**2 - 191*g - 140. Let u(q) = -8*s(q) - 9*x(q). Let u(j) = 0. What is j?
-44, -1
Let l be 567/126 - (-3 - 10/(-4)). Let k(d) be the first derivative of 1/9*d**4 + 19 + 0*d**2 + 2/27*d**3 + 2/45*d**l + 0*d. Factor k(g).
2*g**2*(g + 1)**2/9
Let z(m) be the second derivative of -m**5/60 + 11*m**4/18 - 7*m**3/6 - 1831*m. Factor z(g).
-g*(g - 21)*(g - 1)/3
Let b = -786934/3 + 262312. Suppose -4/3*t**2 + 0 + b*t**3 + 0*t = 0. What is t?
0, 2
Let v(n) = n**3 - 16*n**2 + 28*n + 5. Let g be v(14). Suppose 0 = 3*x - 8*x - 10, 4*k + g*x = -2. What is t in -3/4*t**k + 0*t + 0 = 0?
0
Find i such that 21*i**4 + 40*i**3 + 33*i**4 - i**5 + 30*i**4 + 3*i**5 - 108*i**4 = 0.
0, 2, 10
Let l(f) be the third derivative of -f**5/10 - 19*f**4/24 - 13*f**3/6 - f**2 - 5*f. Let m(v) = v**2 + v. Let y(k) = -5*l(k) - 35*m(k). Factor y(r).
-5*(r - 13)*(r + 1)
Let c(j) be the first derivative of j**6/360 - j**5/30 + j**4/6 + 5*j**3/3 + 6*j - 32. Let u(x) be the third derivative of c(x). Factor u(o).
(o - 2)**2
Let b = -7243271/15 + 482889. Factor -2/15*l**2 - b*l + 0.
-2*l*(l + 32)/15
Suppose 0 = -130*w + 129*w - 3*u + 8, 0 = -w + u. Factor -2/3 + 2/3*v**w - v**3 + v.
-(v - 1)*(v + 1)*(3*v - 2)/3
Let x(p) be the third derivative of 7 + 1/12*p**5 + 0*p + 0*p**3 + 2*p**2 + 1/24*p**6 - 5/12*p**4. Solve x(d) = 0.
-2, 0, 1
Let k(m) = 2*m**3 - 160*m**2 - 43*m + 3443. Let x be k(80). Factor 2/5*z**x - 8/5*z**2 + 6/5*z + 0.
2*z*(z - 3)*(z - 1)/5
Let i be (-3 - 292/504) + 24/6. Let b = 1/126 + i. Find d, given that b*d**2 + 1/7*d**4 + 0 - 1/7*d - 3/7*d**3 = 0.
0, 1
Let u = 754 + -749. Suppose -4*n - 4 = -3*p + 5, 2*p - 6 = -u*n. Determine z so that n + 1/3*z**3 - 2/3*z + 1/3*z**2 = 0.
-2, 0, 1
Let d(o) = -o**3 - o**2 - o + 12. Let z = 2 + 1. Let s(j) = 2*j**3 + 4*j**2 + 3*j - 24. Let g(c) = z*s(c) + 5*d(c). Factor g(y).
(y - 1)*(y + 2)*(y + 6)
Let h(p) = -62*p - 43*p + 7*p + 13*p - 164 - 259. Let c be h(-5). Factor 1/2*s - 1/4 - 1/4*s**c.
-(s - 1)**2/4
Let t(r) = 6*r**3 - 11*r**2 + 10*r + 1. Let o(m) = 9*m + m**2 + 13*m**2 - 24*m**2 + 5*m**3. Let l(a) = -3*o(a) + 2*t(a). Solve l(b) = 0.
2/3, 1
Factor 402*y**2 - 95*y**5 + 2734*y**2 + 228*y**4 - 105*y**5 + 196*y**5 - 3360*y**3.
-4*y**2*(y - 28)**2*(y - 1)
Let t(c) be the second derivative of c**5/20 - 169*c**4/6 + 337*c**3/6 - 56*c. Determine i, given that t(i) = 0.
0, 1, 337
Determine n so that -1/2*n**2 - 45/2 - 23*n = 0.
-45, -1
Let i(q) = -14*q**3 - 12*q**2 - q + 24. Let w(u) = 95*u**3 + 85*u**2 + 5*u - 165. Let m(n) = 20*i(n) + 3*w(n). Solve m(l) = 0 for l.
-3, -1, 1
Let y = 2889493/7 - 412784. Factor 6/7*s + y + 1/7*s**2.
(s + 1)*(s + 5)/7
Let z(d) = -d**3 + 8*d**2 + d + 8. Let r be z(7). Suppose 16 = -l + r. Find v such that 64*v**2 - 391 + v**5 + l*v**3 + 391 + 12*v**4 = 0.
-4, 0
Let o(x) be the first derivative of -24*x - 5*x**2 + 105 + 1/3*x**3. Find i such that o(i) = 0.
-2, 12
Let q = 9/3826 + 30581/11478. Solve 1/6*f**2 + 13/2 - q*f = 0.
3, 13
Let p(v) be the third derivative of -1/40*v**5 + 0*v + 7*v**2 + 0*v**4 + 1/40*v**6 - 5 + 0*v**3. Suppose p(z) = 0. What is z?
0, 1/2
Suppose 0 = -y + k - 51 + 54, 3*k + 9 = 2*y. Let h(z) be the second derivative of 5/6*z**3 + y*z**4 - 1/4*z**5 + 0*z**2 - 16*z + 0. Factor h(v).
-5*v*(v - 1)*(v + 1)
Let f(s) be the second derivative of 5*s**7/42 + 2*s**6/3 - 51*s**5/4 - 775*s**4/6 - 1000*s**3/3 - 9*s + 49. Factor f(a).
5*a*(a - 8)*(a + 2)*(a + 5)**2
Let c be (-2 - (1 - 0))*-1. Solve -65*i**2 - 5*i - 1532 + 1532 + 11*i**3 - 251*i**c - 180*i**4 = 0 for i.
-1, -1/6, 0
Let x(p) be the third derivative of 0 + 23/525*p**7 + 1/210*p**8 + 0*p**5 + 0*p**4 + 0*p + 230*p**2 + 0*p**3 - 1/50*p**6. Factor x(z).
2*z**3*(z + 6)*(4*z - 1)/5
Let f be 1576/1970*(3 - (-185)/80). Factor 5/4*i**4 - 1 + f*i**2 + 0*i - 9/2*i**3.
(i - 2)*(i - 1)**2*(5*i + 2)/4
Let j = 36776218/1650215 + 2/1650215. Factor 4/7*b**5 - 40/7 - j*b - 24/7*b**4 - 32*b**2