/1)/(-3). Suppose t*x + 3*j - 12 = 0, 0 = x - 5*x - 2*j + 14. Solve -k**3 + 199*k**2 - 3*k**3 - 198*k**2 + x*k**3 = 0 for k.
0, 1
Let h be (-9*138/135 - -9)*(-1 + 1). Solve 15*w + 115/4*w**2 - 15/4*w**4 - 5/4*w**5 + h + 45/4*w**3 = 0.
-4, -1, 0, 3
Let x(m) = 8*m**4 + 23*m**3 + 19*m**2 - 23*m. Let a(k) = -38*k**4 - 116*k**3 - 96*k**2 + 116*k + 8. Let r(p) = -3*a(p) - 14*x(p). Factor r(g).
2*(g - 1)*(g + 1)**2*(g + 12)
Let p(g) be the first derivative of -11*g**6/21 - 68*g**5/35 - 3*g**4/14 - 719. Factor p(v).
-2*v**3*(v + 3)*(11*v + 1)/7
Factor -1366*c**2 - 9720 + 4587*c + 4*c**3 + 1929*c + 262*c**2.
4*(c - 270)*(c - 3)**2
Let d(n) = -n**2 - 4*n. Let r(x) = -5*x**2 + 25*x - 7. Let k(y) = 3*d(y) - 3*r(y). Factor k(s).
3*(s - 7)*(4*s - 1)
Let f be -3*1*-1*12/4. Suppose -44*x - 8*x + f*x**2 + 3*x**3 + 4*x + 36 = 0. What is x?
-6, 1, 2
Factor -110 + 785/3*j - 35/3*j**2.
-5*(j - 22)*(7*j - 3)/3
Let t(d) be the second derivative of -19/3*d**3 - 1/2*d**4 + 3 + 3*d + 14*d**2. Determine z so that t(z) = 0.
-7, 2/3
Let r(f) = f + 6. Let b be r(4). Let c be 4 - 54/15 - (-1056)/b. Factor 36*z**2 + 16 - z**4 - 40*z + 92*z**3 - c*z**3 + 3*z**4.
2*(z - 2)**3*(z - 1)
Solve -1116300*z + 681*z**2 + 248*z**2 - z**3 + 51871239 + 59816061 + 115293700 + 901*z**2 = 0.
610
Let x(o) be the third derivative of o**9/6048 - o**8/672 + o**7/240 - o**6/240 - 23*o**3 - 153*o**2. Let g(f) be the first derivative of x(f). Factor g(s).
s**2*(s - 3)*(s - 1)**2/2
Let w(c) be the third derivative of -31*c**8/36 - 1888*c**7/315 - 196*c**6/15 - 64*c**5/9 - 8*c**4/9 + 29*c**2 + 5*c. Let w(j) = 0. What is j?
-2, -2/7, -2/31, 0
Factor -60*y + 7*y**2 + 384 + 6*y**2 - 15*y**2 + 282*y + 160*y.
-2*(y - 192)*(y + 1)
Determine b so that -1364/9*b + 2/3*b**3 - 2042/9*b**2 + 0 = 0.
-2/3, 0, 341
Let k(m) = 60*m + 1740. Let z be k(-29). Let c be (-7)/(-10) - (-4 + (-27)/(-6)). Factor 1/5*v**3 - 1/5*v**4 + c*v**2 + z*v - 1/5*v**5 + 0.
-v**2*(v - 1)*(v + 1)**2/5
Factor 26/3*k - 1/6*k**4 - 1/2*k**3 + 2*k**2 + 8.
-(k - 4)*(k + 2)**2*(k + 3)/6
Let l = -131818 - -131824. Factor -l - 3/8*x**2 - 15/4*x.
-3*(x + 2)*(x + 8)/8
Factor 9/2*w**3 - 21*w**2 + 38*w - 1/4*w**4 - 24.
-(w - 12)*(w - 2)**3/4
Suppose -3*b = 73*b - 152. Let f(j) be the first derivative of -10 + 0*j**b + 0*j**4 + 1/5*j**5 + 0*j - 1/3*j**3. Factor f(g).
g**2*(g - 1)*(g + 1)
Let u = -399 + 402. Let i(h) = 13*h**2 - 66*h + 245. Let o(x) = 11*x**2 - 67*x + 245. Let s(w) = u*i(w) - 4*o(w). Factor s(t).
-5*(t - 7)**2
Solve -17/5*b**2 + 3*b**3 - 3*b + 16/5 + 1/5*b**4 = 0 for b.
-16, -1, 1
Factor 0 + 1/2*l**4 + 5*l**2 + 0*l - 41/4*l**3.
l**2*(l - 20)*(2*l - 1)/4
Let a(l) be the third derivative of -1/14*l**4 + 0*l - 1/140*l**5 - 2/7*l**3 + 6 + 4*l**2. Let a(x) = 0. What is x?
-2
Suppose -8*j = 10*j + 11448. Let n = 639 + j. Factor 0*l**2 - 5/3*l**4 + 0*l - 5/3*l**n + 0.
-5*l**3*(l + 1)/3
Let l(o) = 242*o + 1936. Let a be l(-8). Let r = 4/7 - 1/14. What is x in 1/2*x + a + 1/6*x**4 - 1/6*x**2 - r*x**3 = 0?
-1, 0, 1, 3
Let y = 36279 + -36273. Let i(z) be the third derivative of -35/12*z**4 - 11/30*z**5 + 0*z - 1/60*z**y + 0 - 25/3*z**3 + 46*z**2. Factor i(m).
-2*(m + 1)*(m + 5)**2
Suppose 7*x + 52/3*x**2 + 4*x**4 + 1/3*x**5 + 14*x**3 + 0 = 0. Calculate x.
-7, -3, -1, 0
Let q be ((-3)/(-2))/(15/(-100)). Let b be (8/q)/((-2)/(-15)*-3). Factor i**2 - i**2 - 4*i**b - 8*i.
-4*i*(i + 2)
Let t be 92/(-230)*60 - 14553/(-36). Factor -39/2*d - 1/4*d**2 - t.
-(d + 39)**2/4
Let i(s) be the first derivative of -2*s**3/27 + 37*s**2/9 - 140*s/9 + 2346. Factor i(q).
-2*(q - 35)*(q - 2)/9
Let y(m) = 14*m**3 - 26*m**2 + 17*m - 17. Let z(r) be the first derivative of -5*r**4/4 + 3*r**3 - 3*r**2 + 6*r - 258. Let c(n) = 6*y(n) + 17*z(n). Factor c(h).
-h**2*(h + 3)
Let g = -10/961 + 1381/40362. Let j(t) be the second derivative of 0*t**2 + 0 - 1/6*t**4 - 20*t + 3/20*t**5 + 0*t**6 - g*t**7 + 0*t**3. Factor j(x).
-x**2*(x - 1)**2*(x + 2)
Suppose 48 - 102/11*u**3 + 664/11*u - 260/11*u**2 = 0. Calculate u.
-66/17, -2/3, 2
Suppose 4*v + 139 = -3*i + 530, 3*v - 297 = -i. Let w = 110 - v. Find g such that 2*g**3 - 4*g**2 + w*g + 3*g**3 + 4 + 12*g**2 - 3*g**3 = 0.
-2, -1
Let x(o) be the second derivative of o**5/270 - 7*o**4/54 + 13*o**3/27 + 130*o**2 - 3*o - 15. Let b(k) be the first derivative of x(k). Factor b(g).
2*(g - 13)*(g - 1)/9
Let r be 15/(-30)*-18 - -8. Let d(w) be the third derivative of -1/1680*w**7 + 0*w + 0*w**4 + 1/240*w**5 - 1/48*w**3 - r*w**2 + 0*w**6 + 0. Factor d(c).
-(c - 1)**2*(c + 1)**2/8
Let y(j) be the first derivative of -3*j**4/20 - 14*j**3/5 + 1591. What is g in y(g) = 0?
-14, 0
Let r be 408/16881*827/6. Let c = r + 2/993. Factor 34/9*n + c*n**2 + 4/9.
2*(n + 1)*(15*n + 2)/9
Let h = 9525/38084 - 1/9521. Let o(a) be the second derivative of -1/150*a**6 + 0 + 7/100*a**5 + 0*a**2 - h*a**4 + 3/10*a**3 - 22*a. Factor o(t).
-t*(t - 3)**2*(t - 1)/5
Let a(j) = -j**3 + 9*j**2 + 9*j + 14. Suppose -24*p + 29*p - 50 = 0. Let f be a(p). Factor w**4 + 8*w**3 - 5*w**f - 3*w**2 - 4*w**2 + 3*w**2.
-4*w**2*(w - 1)**2
Let r(x) = -2 - 2 + 3 + 14*x - 15*x. Let n be r(-4). Suppose -2*v**3 - 8*v + 2 - n*v**2 + v**4 + 2 + 12*v = 0. Calculate v.
-1, 2
Let z be 2 + 0 - (-9 - 3)/4. Determine m so that 4*m**z - 3*m**2 + 15*m**2 - 8*m**4 - 6*m**2 + 2*m**4 + 4*m - 8*m**3 = 0.
-1, -1/2, 0, 1, 2
Let n(z) be the first derivative of -7*z**3/3 + 1324*z**2 - 756*z + 14910. Solve n(w) = 0 for w.
2/7, 378
Let y(x) = x**2 + x. Let r(w) = -2*w**2 + 9*w + 11. Let p(i) = 2*i**2 - 18*i + 15. Let z be p(8). Let h(f) = z*r(f) - 3*y(f). Factor h(a).
-(a + 1)*(a + 11)
Let r = 288 + -2000/7. Let d = -12342 - -12344. Let -r + 10/7*f**3 - 52/7*f - 26/7*f**d = 0. What is f?
-1, -2/5, 4
Determine t so that -4108/9*t**2 + 2/9*t**5 + 328/9*t**3 + 35152/9 - 10478/3*t + 20/3*t**4 = 0.
-13, 1, 8
Suppose 394/5*m**3 + 132/5*m**2 - 568/5*m + 9/5*m**5 - 169/5*m**4 - 128/5 = 0. Calculate m.
-1, -2/9, 2, 16
Let m(n) be the third derivative of n**7/1575 - 31*n**6/450 + 251*n**5/150 + 1649*n**4/45 + 1156*n**3/9 + 5577*n**2. Find x, given that m(x) = 0.
-5, -1, 34
Suppose 2*h - 2*s - 56 = 0, -2*h - 5*s + 40 - 12 = 0. Suppose 0 = h*x - 19*x - 15. Factor 7/5*d**x + 3/5*d + 14/5*d**2 + 0 - 4/5*d**4.
-d*(d - 3)*(d + 1)*(4*d + 1)/5
Let u be (-242)/484*((-880)/(-17))/(-5). Factor 976/17*n + 2750/17*n**2 + 242/17*n**3 + u.
2*(n + 11)*(11*n + 2)**2/17
Let w(a) be the third derivative of a**7/1120 - 3*a**6/160 + 3*a**5/20 - a**4/2 - 65*a**3/6 + a**2. Let y(i) be the first derivative of w(i). Factor y(h).
3*(h - 4)**2*(h - 1)/4
Suppose -10*v + v + 36 = 0. Suppose v = -r + 2*r. Factor 24 + 0*c**4 - 2*c**r + 30*c**2 + 3*c**4 + 44*c + 9*c**3.
(c + 2)**3*(c + 3)
Let v(t) be the first derivative of 2*t**6/15 - 8*t**5/5 + 4284. Solve v(y) = 0 for y.
0, 10
Let l = 137 + -134. Let m be -2*(190/65 - l). Let 0 + 10/13*d**3 - m*d**4 + 8/13*d - 16/13*d**2 = 0. Calculate d.
0, 1, 2
Let l(x) be the second derivative of -x**7/42 - x**6/30 + 3*x**5/4 + 3*x**4/4 - 9*x**3 + 16*x - 1. Solve l(d) = 0 for d.
-3, 0, 2, 3
Factor -5*u**2 - 680*u - 121534 + 121534.
-5*u*(u + 136)
Let n(t) be the first derivative of t**6/2340 + t**5/156 - t**4/26 + 5*t**3 - 133. Let b(r) be the third derivative of n(r). Factor b(d).
2*(d - 1)*(d + 6)/13
Let y(x) be the third derivative of 0 + 14/51*x**3 + 1/1020*x**6 + 29/204*x**4 + 0*x - 35*x**2 + 8/255*x**5. Let y(r) = 0. What is r?
-14, -1
Let t(d) be the first derivative of 0*d**2 - 1/18*d**3 + 16 + 3/2*d. Factor t(a).
-(a - 3)*(a + 3)/6
Determine p so that -5/4*p**3 + 595/4*p**2 - 3430*p + 22295 = 0.
14, 91
Let x = -53 + 53. Suppose x = -4*j + 3*f - 18 + 17, 4*j + 4 = 4*f. Factor 0 - 28/3*t**5 + 76/3*t**4 - 20*t**3 + 8/3*t + 4/3*t**j.
-4*t*(t - 1)**3*(7*t + 2)/3
Let z be -3*(-4)/(-8)*(-4)/3. Determine b, given that 64*b**2 - 74*b**z + 5*b**4 + 8 - 3*b**4 = 0.
-2, -1, 1, 2
Let d(q) be the third derivative of 7/48*q**4 + 0*q**3 + 2*q**2 - 1/240*q**6 + 0 - 2*q + 1/20*q**5. Solve d(k) = 0 for k.
-1, 0, 7
Let f(n) = 12*n - 212. Let t be f(18). Let p(i) = 5*i**2 + 20*i + 11. Let h(k) = 5*k**2 + 20*k + 12. Let q(m) = t*h(m) - 3*p(m). Solve q(l) = 0.
-3, -1
Let r(w) be the second derivative of w**3 + 0 - 84*w - 1/10*w**5 - 1/3*w**4 + 0*w**2. Let r(t) = 0. What is t?
-3, 0, 1
Let z(p) = p**4 + p**2 - p + 1. Let 