 - 4814. Let k(q) = 7*i(q) + 6*r(q). Factor k(h).
3*(h + 1)*(h + 4)*(h + 20)**2
Let s = -465 + 567. Factor 12*d + s - 39 + 2*d**2 + d**2 - 54.
3*(d + 1)*(d + 3)
Let b = -356444 - -356462. Factor 15 + b*o**2 - 3/2*o**3 - 63/2*o.
-3*(o - 10)*(o - 1)**2/2
Let j(n) be the first derivative of 2*n**5/25 - n**4/2 - 4*n**3/3 + 16*n**2 - 192*n/5 + 2499. Solve j(c) = 0 for c.
-4, 2, 3, 4
Suppose 2*b - 54 = b. Let g be (4/(-6))/((-1)/b). Determine s so that -5*s**5 + 5*s**3 - 19*s**4 - g*s**2 + 51*s**2 + 4*s**4 = 0.
-3, -1, 0, 1
Suppose 21*f = 19*f + 32. Factor -8*g + 91*g - f - 138*g**2 - 2 + 2 + 33*g.
-2*(3*g - 2)*(23*g - 4)
Solve -5*c**3 - 7045*c**2 - 11*c**3 + 45*c**2 + 28*c**3 + 3055488*c + 6139008 - 8*c**3 = 0.
-2, 876
Suppose -2*p + r - 2*r = -57, 5*p + 2*r = 144. Let c = -9 + p. Factor -c - 4*j**2 + 45 - 20.
-4*(j - 1)*(j + 1)
Let d be (5 + (-76)/8)*(-4)/(-6). Let i be 22/(-77) - ((-522)/(-21))/d. Suppose -3 + 21*p**2 - i + 6 - 13 - 57*p = 0. What is p?
-2/7, 3
Let q(j) = 2*j**2 + 8*j + 1. Let w be q(-4). Suppose -w = -3*x + 5. Determine u so that -45*u**3 - 10*u + 23*u**4 + 35*u**x + 0*u + 2*u**4 - 5*u**5 = 0.
0, 1, 2
Let 343/5*o**2 + 1/5*o**4 + 32/5*o**3 + 1008/5 + 264*o = 0. Calculate o.
-12, -7, -1
Let i(j) = -j**2. Let w(v) = -1. Let y(n) = -n**2 - 10*n + 24. Let r(s) = -w(s) + y(s). Let h = -23 + 25. Let p(a) = h*i(a) - r(a). Factor p(c).
-(c - 5)**2
Determine w so that 0*w + 0 - 10/7*w**4 - 4*w**3 - 24/7*w**2 - 1/7*w**5 = 0.
-6, -2, 0
Let r be (-2)/(-28)*(0 - -4). Let l be 555/(-185) + (-5)/(-1). Find j, given that -4*j**3 - r*j**5 + 4/7 + 12/7*j**4 - 18/7*j + 32/7*j**l = 0.
1, 2
Factor -1686*a**3 - 2 + 3347*a**3 + 236*a**2 - 1665*a**3 + 744*a + 2.
-4*a*(a - 62)*(a + 3)
Let f(k) be the first derivative of k**5/540 - k**4/72 + k**3/27 + k**2/2 - 2*k + 86. Let a(j) be the second derivative of f(j). Find w such that a(w) = 0.
1, 2
Let z(l) be the third derivative of -191*l**2 - 1/120*l**5 + 11/48*l**4 - 2*l**3 + 0*l + 0. Factor z(t).
-(t - 8)*(t - 3)/2
Let d(c) be the first derivative of 49*c**4/6 - 2506*c**3/9 + 704*c**2/3 - 200*c/3 + 131. Solve d(q) = 0 for q.
2/7, 25
Let c(g) be the first derivative of g**5/20 - 4*g**4/9 + 2*g**3/3 + 8*g**2/3 - 30*g - 40. Let h(b) be the first derivative of c(b). Suppose h(j) = 0. What is j?
-2/3, 2, 4
Factor -5*c**2 + 9 - 7/2*c - 1/2*c**3.
-(c - 1)*(c + 2)*(c + 9)/2
Let x be (132/297 - (-1700)/630) + (-1 - (-2 + 1)). Determine p, given that 8/7 - 40/7*p - x*p**2 = 0.
-2, 2/11
Suppose 2*i - 2*h + 1131 = 3*i, 0 = -3*i - 5*h + 3388. Suppose 0 = 3*g + 5*c - 1081, -2*g + i = g - 5*c. Factor -g*s**3 + 371*s**3 - 2*s**4 - 2*s**4.
-4*s**3*(s - 1)
Factor 109/2*n**2 + 433/4*n + 54 + 1/4*n**3.
(n + 1)**2*(n + 216)/4
Let h(j) be the third derivative of j**7/1680 + j**6/60 - 3*j**5/5 - 4*j**4/3 + 5*j**3/6 + 103*j**2. Let p(k) be the second derivative of h(k). Factor p(n).
3*(n - 4)*(n + 12)/2
Let h(u) be the first derivative of -6/11*u + 2/33*u**3 - 2/11*u**2 + 45. Determine r, given that h(r) = 0.
-1, 3
Let k(g) be the third derivative of -1/12*g**4 + 2/75*g**5 + 2/15*g**3 - 2*g - 6*g**2 - 1/300*g**6 + 0. Factor k(w).
-2*(w - 2)*(w - 1)**2/5
Let r(q) = q**2 - 4*q. Let n be r(5). Find y, given that -10*y**4 + 413*y**n + 20*y**2 - 408*y**5 - 1 + 20*y - 15*y**3 + 1 = 0.
-1, 0, 2
Let a = -3404/25 - -136. Let f = a - -133/50. Suppose 0 + f*s**5 + 10*s + 10*s**2 - 15/2*s**3 - 5*s**4 = 0. Calculate s.
-1, 0, 2
Let r(j) be the second derivative of -j**5/30 + 11*j**4/6 + 106*j**3/9 + 24*j**2 - 1186*j. Factor r(w).
-2*(w - 36)*(w + 1)*(w + 2)/3
Let i(j) be the second derivative of -3*j**2 - j + 0*j**3 + 1/15*j**5 + 0 - 1/3*j**4. Let m(g) be the first derivative of i(g). Factor m(k).
4*k*(k - 2)
Suppose 3*l - 18*a + 19*a - 50 = 0, -73 = -4*l + 5*a. Let w be (-12)/(-102) + 49/l. Let -40*b**2 - 15*b**w - 5/3*b**4 + 0 - 80/3*b = 0. Calculate b.
-4, -1, 0
Let v(y) be the first derivative of 2*y**3/15 - 162*y/5 + 1497. Factor v(s).
2*(s - 9)*(s + 9)/5
Factor 1139/3*w - 1297321/6 - 1/6*w**2.
-(w - 1139)**2/6
Let z(h) be the second derivative of 0 - 32*h + 5/114*h**4 - 1/190*h**5 - 7/57*h**3 + 3/19*h**2. Factor z(v).
-2*(v - 3)*(v - 1)**2/19
Let u(v) = 13*v**4 + 1364*v**3 + 7*v**2. Let a(s) = 6*s**4 + 681*s**3 + 3*s**2. Let r(p) = 7*a(p) - 3*u(p). Factor r(z).
3*z**3*(z + 225)
Let m(p) = -2*p**2 - 137*p - 1069. Let h be m(-9). Let g(v) be the second derivative of -2/7*v**3 + 2/7*v**h + 0 - 9/140*v**5 + 16*v - 25/84*v**4. Factor g(z).
-(z + 1)*(z + 2)*(9*z - 2)/7
Let l(b) be the first derivative of -b**6/11 - 1148*b**5/55 - 13044*b**4/11 + 261088*b**3/33 - 190512*b**2/11 + 153664*b/11 + 651. Determine g so that l(g) = 0.
-98, 2/3, 2
Let a(x) be the second derivative of -x**6/6 + 19*x**5/2 - 1135*x**4/12 + 775*x**3/3 + 7103*x - 2. Factor a(m).
-5*m*(m - 31)*(m - 5)*(m - 2)
Suppose -76/3 - 14/3*f**2 + 1/3*f**3 - 91/3*f = 0. What is f?
-4, -1, 19
Let 192*c - 9/2*c**3 - 1152 - 3/4*c**4 + 54*c**2 = 0. Calculate c.
-8, 4, 6
Let q(a) be the first derivative of -a**6/4 - 93*a**5/5 + 387*a**4/8 + 31*a**3 - 96*a**2 - 922. What is w in q(w) = 0?
-64, -1, 0, 1, 2
Let x(o) = 2*o**3 - 14*o**2 - o + 15. Let c be x(7). Let j be c - (175/49 + 4). Suppose -63*z - j*z**3 + 9*z**2 + 147 = 0. Calculate z.
7
Let t be (-3)/(-7) + 676/546. Let k(s) = -s - 12. Let q be k(-15). Factor -t*u + 5*u**q + 10/3*u**2 + 0.
5*u*(u + 1)*(3*u - 1)/3
Let t(m) = -2*m**3 - 55*m**2 + 28*m + 2. Let a be 21/1*(24/9 - 4). Let w be t(a). Find h such that 0 + 0*h**w + 0*h + 1/3*h**5 - 1/3*h**4 + 0*h**3 = 0.
0, 1
Let n(h) = -31*h + 1213. Let q be n(39). Let x(j) be the second derivative of 10/3*j**3 + 18*j + 0 + 0*j**2 + 1/3*j**q. Determine t so that x(t) = 0.
-5, 0
Let j = 2/13781 + 757947/55124. Let k(p) be the first derivative of 60*p**3 + j*p**4 + 4 - 320*p + 40*p**2 + p**5. Let k(o) = 0. Calculate o.
-4, 1
Suppose 53*b - 692178 = 479811. Let v be (-7749)/b + 6/13. Factor -v - 4*n**2 - 4/3*n.
-(6*n + 1)**2/9
Let x(g) be the first derivative of -11/3*g**2 - 2*g**4 + 1/15*g**5 + 5*g**3 + 191 + 0*g. Find f, given that x(f) = 0.
0, 1, 22
Let v be ((-44)/1309)/(4/(-46)). Let z = v - -8/17. Factor 8/7*k + 2/7*k**4 - 8/7*k**3 - 8/7 + z*k**2.
2*(k - 2)**2*(k - 1)*(k + 1)/7
Factor 348887 - 117504*v + 10908*v**2 - 1404*v**2 + 148777 - 324*v**3 - 8*v**4 + 12*v**4.
4*(v - 24)**3*(v - 9)
Suppose 0 = -3*z + 240 - 231. Solve 22*v**2 + 210*v - 22*v**4 + 130*v**z - 10*v + 6*v**4 - 2*v**4 - 32 - 302*v**2 = 0.
2/9, 1, 2, 4
Find i such that 3/7*i**3 + 93/7*i + 30/7*i**2 + 90/7 = 0.
-5, -3, -2
What is b in -148/11*b + 0 - 2/11*b**3 + 78/11*b**2 = 0?
0, 2, 37
Let k = -530 + 355. Let i be k/(-210) + 1/(-2). Factor 2*l**3 + 4/3*l**2 + i*l**5 + 0 + 4/3*l**4 + 1/3*l.
l*(l + 1)**4/3
Let o(s) = -14*s + 157. Let g be o(8). What is u in -10*u - 90*u**2 - 10*u + g*u**3 + 108 - 5*u**4 + 11 + 1 = 0?
-1, 2, 6
What is i in 306*i + 4*i**2 - 57*i - 2292 + 245*i + 258*i = 0?
-191, 3
Let j(y) = -8*y**4 + 23*y**3 + 33*y**2 - 23*y - 28. Let t(a) = -22*a**4 + 70*a**3 + 98*a**2 - 70*a - 84. Let l(g) = 8*j(g) - 3*t(g). Factor l(d).
2*(d - 14)*(d - 1)*(d + 1)**2
Let a(u) = u**3 - 3*u**2 - 3*u - 4. Let t be a(4). Suppose -2*j - 2*j + 20 = t. Factor -26*m + m + 4*m**2 + 0*m**3 + j*m**3 + 15 + m**2.
5*(m - 1)**2*(m + 3)
Let z(n) = -5*n**2 - 28*n + 48. Let y(s) = 12*s**2 + 86*s - 143. Let l(r) = -4*y(r) - 11*z(r). Determine g, given that l(g) = 0.
2, 22/7
Let n = -3469/1640 + -2/205. Let h = n + 19/8. Factor 1/4*f + 3/4*f**2 - 1/2 - h*f**4 - 1/4*f**3.
-(f - 1)**2*(f + 1)*(f + 2)/4
Determine z so that 468 - 528*z - 3/4*z**4 + 174*z**2 - 12*z**3 = 0.
-26, 2, 6
Suppose -5*h = 2*g - 37, -h + 2*g + 67 - 86 = 0. Let -12/5*t**h + 0*t - 12/5*t**2 + 0 - 3/5*t**4 = 0. What is t?
-2, 0
Let o = 341 - 314. Factor 22 + o*y - 23*y**3 + 5 + 9*y**2 + 55*y**3 - 31*y**3.
(y + 3)**3
Factor 0 - 5819/7*x**3 - 2910/7*x**2 - 2908/7*x**4 + 0*x + 1/7*x**5.
x**2*(x - 2910)*(x + 1)**2/7
Factor -292/5*s**2 + 2/5*s**3 + 58*s + 0.
2*s*(s - 145)*(s - 1)/5
Let k(n) = -n**2 - 181*n + 388. Let c(y) = -4*y**2 - 901*y + 1939. Let x(f) = 2*c(f) - 11*k(f). Solve x(r) = 0 for r.
-65, 2
Let p(q) be the first derivative of 12 + 2/35*q**5 - 32/7*q + 0*q**3 + 16/7*q**2 - 2/7*q**4. Factor p(g).
2*(g - 2)**3*(g + 2)/7
Let r(w) = 2*w**2 - 3*w - w**3 + 1 - 11*w**2 + 1