*r**4 + 0*r**5 + 0*r**3. Let d(c) be the first derivative of x(c). Factor d(a).
3*a**4
Let j be (0 - 9)*174/(-261). Let w(m) be the third derivative of -2*m**2 + 0*m**4 + 0*m - 1/315*m**7 + 0*m**j + 0*m**3 + 0 + 1/90*m**5. Let w(n) = 0. What is n?
-1, 0, 1
Let c = 25675/72 - 2936/9. Let -51/8*b**2 + 3/8*b**3 + c + 189/8*b = 0. What is b?
-1, 9
Let n(g) = -26*g + 55. Let p be n(2). Determine q, given that 2/9*q**5 + 0 + 2*q**p - 10/9*q**4 + 4/9*q - 14/9*q**2 = 0.
0, 1, 2
Determine z so that 1377*z**2 - 7290*z - 8748 - 159/2*z**3 + 3/2*z**4 = 0.
-1, 18
Suppose 4/7*f - 4/7*f**3 - 2/7*f**4 + 18/7*f**2 - 16/7 = 0. Calculate f.
-4, -1, 1, 2
Let b(j) be the first derivative of -5*j**4/4 - 16*j**3/3 - 3*j**2/2 - 43. Solve b(z) = 0.
-3, -1/5, 0
Factor 15/4*s**3 + 129/4*s - 123/4*s**2 - 21/4.
3*(s - 7)*(s - 1)*(5*s - 1)/4
Let n(l) = l**3 + 18*l**2 + 18*l + 20. Let p be n(-17). Let u be (-4)/(p + 26/(-6)). Find w such that 16/7*w + 2/7*w**u - 8/7 - 10/7*w**2 = 0.
1, 2
Let h(y) = y**2 - 16*y + 41. Let q be h(13). Factor -20*p + 5 - p**q + 8 + 2 + 6*p**2.
5*(p - 3)*(p - 1)
Let t(n) be the third derivative of n**7/1260 + 29*n**6/720 - n**5/120 - 89*n**4/144 - 29*n**3/18 - 85*n**2 - 1. Solve t(f) = 0.
-29, -1, 2
Let w be (25 + -25)/((-4)/(-2)). Let j(b) be the second derivative of 0*b**3 + w*b**2 + 0 + 1/12*b**4 + 0*b**5 + b - 1/30*b**6. Suppose j(s) = 0. Calculate s.
-1, 0, 1
Let x(q) be the second derivative of -11*q**7/11340 - 7*q**6/3240 + q**5/135 - 5*q**4/3 - 12*q. Let y(n) be the third derivative of x(n). Factor y(c).
-2*(c + 1)*(11*c - 4)/9
Let m = 147/41 - 31/123. Factor 7/3*s**2 + 1 - m*s.
(s - 1)*(7*s - 3)/3
Let w(x) = -33*x**4 + 144*x**3 - 279*x**2 + 141*x + 9. Let j(d) = -15*d**4 + 72*d**3 - 139*d**2 + 70*d + 4. Let k(l) = 9*j(l) - 4*w(l). Factor k(s).
-3*s*(s - 22)*(s - 1)**2
Let w(u) = 2*u - 26. Let c be w(12). Let n be (3 + 2 + -5 + 0)/c. Suppose 8*a**3 - 14*a**4 - 8/7*a**2 + n + 0*a = 0. What is a?
0, 2/7
Let o be (-2)/((-12)/(-3)) + 45/18. Factor 2/7*r**3 + 4/7*r**o + 0 + 2/7*r.
2*r*(r + 1)**2/7
Let c(x) be the second derivative of -x**5/10 - x**4/6 + 5*x**3/3 - 3*x**2 + 8*x - 5. Factor c(v).
-2*(v - 1)**2*(v + 3)
Factor -70*t**2 - 9*t**4 - 16*t**3 - 3*t**5 + 4*t**3 - 7*t + 4*t**5 + 15*t**4 + 82*t.
t*(t - 3)*(t - 1)*(t + 5)**2
Let f(h) be the third derivative of -1/4*h**4 + 0*h**3 + 0*h + 0 - 20*h**2 - 1/40*h**6 + 3/20*h**5. Suppose f(r) = 0. What is r?
0, 1, 2
Let d(y) be the third derivative of y**5/160 - 23*y**4/64 - 25*y**3/8 + 312*y**2. What is z in d(z) = 0?
-2, 25
Let w(t) = -t + 1. Let h be w(-1). Factor 9 + u + 17 - u**h - 26.
-u*(u - 1)
Suppose 3*r - 2 = 4. Let i(x) be the second derivative of 0*x**4 + 6*x + 1/63*x**7 + 0*x**3 - 2/45*x**6 + 1/30*x**5 + 0*x**r + 0. Find n, given that i(n) = 0.
0, 1
Let l(d) = 5*d**2 + 274*d - 19600. Let q(p) = -12*p**2 - 546*p + 39200. Let y(o) = -7*l(o) - 3*q(o). Factor y(a).
(a - 140)**2
Let m(n) = 2*n**3 - 2*n**2 - 2*n - 1. Let y be m(2). Factor 3*i**y + 11*i**2 - 3*i**2 + 4*i**2 + 9*i.
3*i*(i + 1)*(i + 3)
Let n(a) be the third derivative of -1/84*a**8 - 1/3*a**4 - 3/10*a**6 + 2/21*a**7 + 0 + 0*a**3 + 7/15*a**5 - 32*a**2 + 0*a. Factor n(o).
-4*o*(o - 2)*(o - 1)**3
Let f(b) = 2*b**3 + 3*b**2 - 10*b + 4. Let x be f(-4). Let a = x + 36. Factor a - 3/2*v**4 + 3/2*v**2 + 0*v + 3/2*v**5 - 3/2*v**3.
3*v**2*(v - 1)**2*(v + 1)/2
Factor -13*b**3 + 102*b - 4 + 176*b**2 - 21*b + 103*b**3 + b + 0.
2*(b + 1)**2*(45*b - 2)
Determine h, given that 3/2*h + 0 - 18*h**4 + 6*h**2 - 3*h**3 + 27/2*h**5 = 0.
-1/3, 0, 1
Suppose -2 = 5*p - 12. Suppose p*g + 18 = 2*t, 3*t - 15 = 5*g - 8*g. What is d in -18*d**2 + t*d**2 + 12*d**2 + 4*d = 0?
-4, 0
Suppose -26 - 4 = -5*x. Suppose -c = -x*c + 10. Solve y**c - 11*y**2 + y**2 + 2*y + 7*y**3 = 0.
0, 2/7, 1
Let k(l) = l + 20. Let t be k(-9). Let j = t + -6. Suppose 8*d**j + 40*d**3 - 9*d**2 + 29*d**2 + 3 + 45*d**4 - 5 - 15*d**4 = 0. What is d?
-1, 1/4
Determine n so that n**2 + 0*n**2 + 244*n - 241*n - 4 = 0.
-4, 1
Let x(s) be the second derivative of -109*s**3/6 + s**2 - 9*s. Let l be x(-1). Solve 2 + 14 + 24*c - 4 - 63*c**4 - 186*c**3 - l*c**2 = 0.
-2, -1, -2/7, 1/3
Let c(s) be the first derivative of 2*s**3/9 - 23*s**2 - 320. Factor c(v).
2*v*(v - 69)/3
Suppose -d = -0*d + 3. Let m(y) = y**3 + 2*y**2 - 4*y - 3. Let h be m(d). Factor 0*t + 3*t**2 - 4*t**2 + h*t.
-t**2
Let w(x) be the first derivative of -1/8*x**4 + 1/6*x**3 + x**2 - 2*x - 13. Factor w(z).
-(z - 2)*(z - 1)*(z + 2)/2
Let d be (-2 + 22)*(-4)/(-8). Factor n**2 - 17*n - d + 10*n - 2*n.
(n - 10)*(n + 1)
Let y(q) = q**3 - 15*q**2 + 3*q - 11. Let x be y(11). Let w = x - -6934/15. Factor w + 2/15*d**2 - 2/5*d.
2*(d - 2)*(d - 1)/15
Find g, given that -2/5*g - 2/5*g**2 + 8 = 0.
-5, 4
Let x(i) be the second derivative of i**6/10 - 21*i**5/20 + 33*i**4/16 + 7*i**3 + 6*i**2 + 169*i. Find p such that x(p) = 0.
-1/2, 4
Factor 0 - 9/5*j**2 - 12/5*j + 3/5*j**3.
3*j*(j - 4)*(j + 1)/5
Let a be (-14)/(-35)*15 - 26. Let d be (a/4 - -5)/3. Factor 0*y**2 + 1/2*y**3 + 9/4*y**5 + d + 0*y + 11/4*y**4.
y**3*(y + 1)*(9*y + 2)/4
Let w(x) be the third derivative of -x**5/45 + 2*x**4/3 + x**2 - 7*x. Factor w(f).
-4*f*(f - 12)/3
Let o be (8/2)/(-91 - -93). Solve 0 - 12/5*m + 16/5*m**o - 4/5*m**3 = 0.
0, 1, 3
Let h(u) = -u - 6. Let z(b) = 3*b + 19. Let x(y) = 14*h(y) + 4*z(y). Let k be x(-4). Suppose 0*v**2 + 2/15*v**4 + k*v + 0 + 0*v**3 - 2/15*v**5 = 0. Calculate v.
0, 1
Suppose 0 = 5*t - 2*f - 17, -4*t + 7 + 2 = 3*f. Solve -t*g**2 - 11*g**3 + 25*g**2 - 4*g - 25*g**3 + 4*g**3 + 14*g**4 = 0 for g.
0, 2/7, 1
Let z(d) = 3*d**2 + 85*d + 370. Let l be z(-23). Solve 1/2*a - 1/2*a**3 + 1/2 - 1/2*a**l = 0 for a.
-1, 1
Let v(k) be the third derivative of -k**8/1176 + 8*k**7/735 + 2*k**6/105 - 16*k**5/35 - 12*k**4/7 + 4*k**2 - 34*k. Find b such that v(b) = 0.
-2, 0, 6
Factor 23*m + 29*m + 2*m - 5*m**2 - 21 - 16*m.
-(m - 7)*(5*m - 3)
Let k(x) = -3*x - 10. Let p be k(-4). Let z be (-1)/21*-3 - 316/(-140). Factor -z*m**3 + 4/5*m + 0*m**p + 0 - 8/5*m**4.
-4*m*(m + 1)**2*(2*m - 1)/5
Let w(h) be the second derivative of 14/15*h**6 + 0*h**2 - 1/7*h**7 - 5*h**4 - 2/5*h**5 - 3*h**3 + 6*h + 0. Determine z, given that w(z) = 0.
-1, -1/3, 0, 3
Suppose 47*q = -79*q + 408 - 156. Let z be (0 - 1/3)*-2. Factor 0 - 2/9*r**q + z*r.
-2*r*(r - 3)/9
Let i be ((-3)/(-28) + 0)*23/((-529)/(-184)). Find n such that 4/7*n**2 - 2/7*n**3 + 0 + i*n = 0.
-1, 0, 3
Let i(w) = -w**3 - 21*w**2 + 60*w - 283. Let s be i(-24). Suppose 180/7*f**4 - 48/7*f**3 + 6/7*f - 20/7*f**2 + 0 - 54/7*f**s = 0. What is f?
-1/3, 0, 1/3, 3
Let w = -221224/5 + 44246. What is j in -w*j**3 + 3/5*j + 1/5*j**4 - 2/5*j**2 + 1/5 + 3/5*j**5 = 0?
-1, -1/3, 1
Let x(t) be the third derivative of 6*t**2 + 0*t - 1/48*t**4 - 1/80*t**5 + 0 + 0*t**3. Factor x(b).
-b*(3*b + 2)/4
Let t(h) = 17*h - 7. Let p be t(3). Suppose -36*i - 24 = -p*i. Determine g, given that -2/3*g + 2/3*g**2 + 2/3*g**i + 0 - 2/3*g**4 = 0.
-1, 0, 1
Let s be 1 - (-13)/7 - 5 - -3. Solve 4/7*n + 0 - s*n**2 = 0 for n.
0, 2/3
Let x = 22 - -23. Determine w so that w + w - x*w**2 + 43*w**2 - 4*w = 0.
-1, 0
Let k(a) be the first derivative of -1/16*a**4 + 1/8*a**2 + 1/6*a**3 - 1/2*a + 8. Suppose k(t) = 0. What is t?
-1, 1, 2
What is k in 41*k**2 + 136*k**3 - 14*k**4 - 127*k**2 + 0 - 36*k + 0 = 0?
-2/7, 0, 1, 9
Let -28*f + 18 - f**3 + 42*f - 20*f - 10*f**2 - f**3 = 0. Calculate f.
-3, 1
Let b(t) be the first derivative of -4*t + 1/4*t**4 - 5/3*t**3 - 20 + 4*t**2. Factor b(r).
(r - 2)**2*(r - 1)
Factor 0 + 0*j + 2/3*j**3 + 4/9*j**2 + 2/9*j**4.
2*j**2*(j + 1)*(j + 2)/9
Let x(h) = -h**3 + 3*h**2 + 5*h - 1. Let g(n) = n**2 + 2*n - 4. Let l be g(-4). Let z be x(l). Factor 3 + 3*w**3 - 3 + 44*w**5 + z*w**2 - 47*w**5 - 3*w**4.
-3*w**2*(w - 1)*(w + 1)**2
Let o(z) be the second derivative of -z**6/135 + 13*z**5/45 - 71*z**4/18 + 572*z**3/27 - 484*z**2/9 - 58*z - 2. Factor o(i).
-2*(i - 11)**2*(i - 2)**2/9
Let l(s) be the second derivative of -3*s**5/20 + 3*s**4/2 + 15*s**3/2 + 12*s**2 - 4*s + 3. Factor l(n).
-3*(n - 8)*(n + 1)**2
Let v(q) be the first derivative of -3*q**4/10 + 2*q**3/3 + 16*q**2/5 - 24*q/5 - 522. Factor v(w).
-2*(w - 3)*(w + 2)*(3*w - 2)/5
Factor f**4 - 10*f**3 - 90*f + 6*f**3 + 94*f + 2*f**2 - 3.
(f - 3)*(f - 1)**2*(f + 1)
Let f(l) be the th