/9*u**3 + 0*u. Factor g(y).
2*y*(y - 1)*(y + 1)*(y + 3)/3
Let i(b) be the second derivative of b**5/15 + 2*b**4/3 - 14*b**3 - 117*b**2/2 + 86*b. Let r(w) be the first derivative of i(w). Find g, given that r(g) = 0.
-7, 3
Let f(n) = 25*n**2 + n. Let p(m) = -173*m**2 - 85*m - 344. Let r(q) = -7*f(q) - p(q). Solve r(t) = 0.
-4, 43
Let p(q) be the third derivative of -q**7/105 + 59*q**6/30 - 4021*q**5/30 + 2655*q**4 - 24300*q**3 - 93*q**2 + 9*q. Let p(x) = 0. Calculate x.
5, 54
Determine t so that 0 + 26*t - 2/3*t**3 - 20/3*t**2 = 0.
-13, 0, 3
Let w(f) = -2598*f**3 + 12948*f**2 + 156*f. Let x(u) = 371*u**3 - 1849*u**2 - 22*u. Let r(k) = -4*w(k) - 27*x(k). Factor r(b).
3*b*(b - 5)*(125*b + 2)
Let s = -15 + 24. Suppose q = -2*q + s. Let -q*w**2 - w + w - w - 5*w = 0. What is w?
-2, 0
Let g(k) = 2*k**3 + 10*k**2 - 22*k + 14. Let m(h) = -h**2 - 1. Let f = -53 - -67. Let s = -16 + f. Let p(v) = s*m(v) - g(v). Factor p(t).
-2*(t - 1)**2*(t + 6)
Let l be 588/441*(-3375)/(-40). Factor -723/8*i**3 - 2521/8*i**2 - 330*i - l + 57/8*i**4 - 1/8*i**5.
-(i - 30)**2*(i + 1)**3/8
Let m(d) be the third derivative of d**8/896 + 5*d**7/112 - 17*d**6/320 - 2601*d**5/160 - 66*d**2 + 22*d. Factor m(z).
3*z**2*(z - 9)*(z + 17)**2/8
Suppose 1238*k + 525 = 1343*k. Factor 0*g - 3/2*g**2 + 0 + 15/4*g**3 + 3/4*g**k - 3*g**4.
3*g**2*(g - 2)*(g - 1)**2/4
Suppose 4*r + 23*r = 54. Find q, given that -4*q + 2 - q**r + 9*q**2 - q - 32 - 3*q**2 = 0.
-2, 3
Let w(b) be the first derivative of -b**4/18 - 380*b**3/9 - 9025*b**2 - 2233. Solve w(s) = 0 for s.
-285, 0
Determine f so that -105*f + 225/4*f**2 + 49 = 0.
14/15
Determine z so that -20*z + 345*z**2 - 29897*z**3 + 215*z**2 + 29622*z**3 = 0.
0, 2/55, 2
Let r(a) be the second derivative of -a**3/6 + 4*a**2 - 17*a. Let l be r(4). Factor 9*w - 14*w + l*w + w**2.
w*(w - 1)
Let r = -37643 - -37646. Factor 18/5*i**4 + 3/5*i**5 + 0 + 27/5*i**r + 0*i**2 + 0*i.
3*i**3*(i + 3)**2/5
Let x be ((5/(-40))/1)/(695/180 + -4). Let d(z) be the first derivative of -1/10*z**6 - 4/5*z**3 - x*z**4 - 3/10*z**2 - 12/25*z**5 + 0*z + 41. Factor d(y).
-3*y*(y + 1)**4/5
Let p = 157 + -152. Find v, given that -69 + 3*v + 2*v + p*v**2 + 59 = 0.
-2, 1
Let c(m) be the third derivative of -m**5/12 + 475*m**4/12 - 935*m**3/2 - 2*m**2 + 4520. Determine b, given that c(b) = 0.
3, 187
Let l(x) = 7*x**3 - x**2 - x - 1. Let o(q) = 34*q**3 - 8*q**2 + 4*q + 22. Let f(d) = -15*l(d) + 3*o(d). Factor f(t).
-3*(t - 3)*(t + 3)**2
Let o(n) = -7*n**5 + 14*n**3 - 12*n**2 + 10. Let u(z) = 6*z**5 - 14*z**3 + 12*z**2 - 8. Let t(h) = 4*o(h) + 5*u(h). Factor t(x).
2*x**2*(x - 2)*(x - 1)*(x + 3)
Let h be (6 - 11)/((-1)/(-1)) - 8/(-1). Let v(m) be the third derivative of 1/20*m**5 + 0 - 1/2*m**h + 0*m**4 + 0*m + 24*m**2. Factor v(g).
3*(g - 1)*(g + 1)
Let a be 5/40*9 + 783/(-696). Factor -128/9*l**2 + 0*l + 32/9*l**3 + a - 2/9*l**4.
-2*l**2*(l - 8)**2/9
Suppose -72*t = -59*t - 26. Solve 6*c**3 + 93*c - 4*c**4 + 18*c**2 + 14*c**2 - t*c**3 - 141*c = 0 for c.
-3, 0, 2
Let h(t) be the third derivative of -t**9/15120 - t**8/2240 - t**7/1260 + 45*t**4/8 - 23*t**2 + 3*t. Let w(b) be the second derivative of h(b). Factor w(u).
-u**2*(u + 1)*(u + 2)
Let l(t) be the third derivative of -6*t - 39/5*t**5 + 1521/2*t**4 + 13*t**2 + 1/30*t**6 - 39546*t**3 + 0. What is z in l(z) = 0?
39
Let m(r) be the first derivative of 5*r**7/294 + 3*r**6/14 + 17*r**5/70 + 5*r**4/42 + 104*r**3/3 + 105. Let k(v) be the third derivative of m(v). Factor k(t).
4*(t + 5)*(5*t + 1)**2/7
Let h(y) = -15*y + 1. Let v be h(-1). Let j = 25 - v. Determine t, given that 3*t + j*t**2 + 40*t**3 - 43*t**3 - 3*t**4 - 6 + 0*t = 0.
-2, -1, 1
Suppose 5*o = -66*r + 68*r - 11, 0 = r - 3*o - 6. Determine v, given that -1/7*v**4 + 0*v - 1/7*v**5 + 0*v**2 + 0 + 6/7*v**r = 0.
-3, 0, 2
Let t = -2888 - -2888. Let f(q) be the second derivative of 1/100*q**5 + t + 0*q**2 + 17*q + 1/60*q**4 - 1/150*q**6 - 1/30*q**3. Find m such that f(m) = 0.
-1, 0, 1
Let w(f) be the first derivative of f**7/735 + 3*f**6/140 - 9*f**4/7 - 43*f**2 - 2*f + 141. Let j(n) be the second derivative of w(n). Factor j(s).
2*s*(s - 3)*(s + 6)**2/7
Let r(z) = z - 22. Suppose 5*f - 122 = 5*u - 2*u, -94 = -5*f - 4*u. Let l be r(f). Find t such that 0 + 0*t**2 + 1/2*t**3 + l*t = 0.
0
Let g be (374/68)/(2/4). Suppose g*m = 34*m - 46. Factor 0 + 238/11*u**m - 196/11*u + 6/11*u**4 + 80/11*u**3.
2*u*(u + 7)**2*(3*u - 2)/11
Let r = 1411 + -1415. Let q be 21/126 - r/8. Factor 0 + 1/3*h**5 - 2/3*h**4 - 1/3*h + 0*h**3 + q*h**2.
h*(h - 1)**3*(h + 1)/3
Let s = 471 - 556249/1181. Let k = s + 4710/8267. Solve 0*z**4 + 0*z - 6/7*z**3 + 2/7*z**5 + 0 + k*z**2 = 0.
-2, 0, 1
Let x(t) be the third derivative of -5/48*t**4 + 0*t + 31 - 1/240*t**5 - 2*t**2 - 1/3*t**3 + 1/480*t**6. Factor x(n).
(n - 4)*(n + 1)*(n + 2)/4
Let n(z) be the second derivative of -z**6/2 + 877*z**5/4 - 725*z**4/6 - 1460*z**3/3 + 10758*z. Determine y, given that n(y) = 0.
-2/3, 0, 1, 292
Let l(o) be the second derivative of -64 - 5/12*o**4 - 1/2*o**5 + 5/3*o**3 - o + 1/6*o**6 + 0*o**2. Find x such that l(x) = 0.
-1, 0, 1, 2
Let q(i) be the first derivative of -i**6/6 - 2*i**5 + 221*i**4/2 + 6556*i**3/3 + 16455*i**2/2 + 10350*i + 328. Solve q(t) = 0.
-15, -2, -1, 23
Suppose -6*v - v + 2*v = -v. Let h(y) be the third derivative of 0*y**3 + 1/1050*y**7 + 0*y + 0*y**5 + 1/300*y**6 + v*y**4 + 17*y**2 + 0. Factor h(g).
g**3*(g + 2)/5
Let n(c) be the third derivative of -1219*c**6/360 + 122*c**5/9 - 1223*c**4/72 + c**3/9 - 4473*c**2. Let n(i) = 0. Calculate i.
2/1219, 1
Let t = 841 + -838. Suppose 0 = 3*l + 3*x - t, -1 - 4 = -2*l + x. Let -4/3*j - 2/3*j**l - 2/3 = 0. What is j?
-1
Suppose 211 = -5*f + 9*f + z, 4*z + 163 = 3*f. Let t(u) be the second derivative of -1/2*u**4 + 3*u**2 + 0 + 1/2*u**3 + f*u - 3/20*u**5. Factor t(i).
-3*(i - 1)*(i + 1)*(i + 2)
Let j be -3 - -1 - 1*-1. Let z(f) = 5*f**2 + 31*f + 14. Let a(b) = -b + 1. Let u be (-57 + 60)/(2/(-4)). Let d(h) = j*z(h) + u*a(h). Factor d(q).
-5*(q + 1)*(q + 4)
Let z be (72/2)/((-10)/(-280)*6). Let p be 6 - z/27 - (-4)/3. Factor 2/9*c**2 + 8/9 + p*c.
2*(c + 1)*(c + 4)/9
Let f(x) be the second derivative of -x**7/22680 - 7*x**6/3240 - 2*x**4 + x - 4. Let t(h) be the third derivative of f(h). Solve t(k) = 0 for k.
-14, 0
Let q be (-3 + 1)/(934002/(-77823) + 12). Let f = q + -1233. Factor 2/7*u**3 + f*u + 8/7 + 10/7*u**2.
2*(u + 1)*(u + 2)**2/7
Let m(d) be the second derivative of d**5/110 + 134*d**4/11 + 71824*d**3/11 + 19248832*d**2/11 - 35*d - 19. Factor m(r).
2*(r + 268)**3/11
Factor 1728*t + 1/4*t**3 - 36*t**2 - 27648.
(t - 48)**3/4
Factor 3/5*b**3 + 20988/5 + 4200*b + 5259/5*b**2.
3*(b + 2)**2*(b + 1749)/5
Factor 186*p**2 - 18*p + 93*p - 105*p**2 - 84*p**2 + 121 + 131.
-3*(p - 28)*(p + 3)
Let a(m) be the second derivative of -1/24*m**4 + 19*m + 3/2*m**2 + 0 + 1/12*m**3. Determine n so that a(n) = 0.
-2, 3
Suppose 3*y = 12, 4*x - 2*y = -x + 142. Suppose 40*p**2 + 85*p**3 + 15*p + 38*p**2 - 5 - 3*p**2 + x*p**4 = 0. Calculate p.
-1, 1/6
Suppose -98*j + 4*w = -101*j - 3, 0 = -2*j - 2*w. Determine b, given that 20/9*b**2 - 2/9*b**j + 46/9*b + 8/3 = 0.
-1, 12
Let a(j) be the first derivative of -4*j**3/3 - 4*j**2 - 4*j + 238. Factor a(l).
-4*(l + 1)**2
Let w = -254/147 + 150/49. Determine p, given that w*p + 0 - 1/3*p**4 + 4/3*p**2 - 1/3*p**3 = 0.
-2, -1, 0, 2
Find y, given that -19954*y + 19818*y + 121 + 3*y**2 + 11 + y**2 = 0.
1, 33
Let n(s) = 10*s**3 - 7*s**2 - 248*s + 248. Let z be n(1). Determine q so that -2/3*q**2 + 0 + 2/3*q**4 + 0*q + 0*q**z = 0.
-1, 0, 1
Let d(p) be the first derivative of p**5/4 - 15*p**4/4 + 25*p**3/2 - 35*p**2/2 + 36*p + 27. Let z(u) be the first derivative of d(u). Factor z(h).
5*(h - 7)*(h - 1)**2
Let l = -456/5 - -84. Let u = l - -128/15. Determine h so that -10/3*h + 4/3 + 2/3*h**5 - 8/3*h**4 + u*h**2 + 8/3*h**3 = 0.
-1, 1, 2
Let x(n) be the first derivative of -6/5*n**2 + 4/15*n**3 - 162 - 16/5*n. Factor x(v).
4*(v - 4)*(v + 1)/5
Let w(k) = 17*k + 1. Let h be w(1). Determine c so that 19*c - 58*c**3 - 91*c + h*c**3 - 116*c**2 - 30*c**4 - 46*c**3 - 16 - 4*c**5 = 0.
-2, -1, -1/2
Let x(w) = 39360*w**4 + 8751*w**3 + 648*w**2 + 19*w + 3. Let r(q) = 118078*q**4 + 26254*q**3 + 1944*q**2 + 58*q + 10. Let y(z) = -3*r(z) + 10*x(z). Factor y(h).
