d derivative of b(f). Factor q(c).
3*(c - 4)*(c - 1)**2
Find p, given that -409 - p**2 - 2375*p + 51 + 1148 + 16*p**2 = 0.
1/3, 158
Let w(n) be the third derivative of n**7/294 - n**6/120 - n**5/420 + n**4/56 - 1657*n**2. Factor w(z).
z*(z - 1)**2*(5*z + 3)/7
Determine a so that 520/9 - 406/9*a**2 + 388/3*a**3 - 344/3*a + 2*a**4 = 0.
-65, -1, 2/3
Let c be (-4605)/307*5/(-3). Factor -c*k + 5/2*k**2 + 5/2*k**3 + 20.
5*(k - 2)*(k - 1)*(k + 4)/2
Let t(o) be the third derivative of -o**5/100 + 3*o**4/2 - 59*o**3/10 + 74*o**2 + 3*o. Factor t(b).
-3*(b - 59)*(b - 1)/5
Let a(k) be the second derivative of -1/21*k**7 + 0*k**2 + 0*k**5 - 2 + 1/3*k**3 + 1/3*k**4 - 2/15*k**6 - 102*k. Solve a(n) = 0 for n.
-1, 0, 1
Let j(k) be the third derivative of k**6/1440 + k**5/240 + 7*k**3 - 22*k**2 + 1. Let q(c) be the first derivative of j(c). Suppose q(m) = 0. Calculate m.
-2, 0
Let z(a) be the third derivative of -a**6/30 + 67*a**5/15 - 131*a**4/6 + 130*a**3/3 + 3*a**2 - 7*a. Factor z(c).
-4*(c - 65)*(c - 1)**2
Let n be (-22)/55 + (-12)/(-5). Suppose 8 + 6*f**2 + 19*f + 8*f**n - 10*f**3 + 5*f - 8*f**2 = 0. What is f?
-1, -2/5, 2
Let x(t) = -t**4 + 19*t**3 - 55*t**2. Let h(m) = 19*m**3 - 18*m**3 + 5*m**3 - 18*m**2. Let l(k) = -7*h(k) + 2*x(k). Suppose l(z) = 0. What is z?
-4, 0, 2
Factor 759027 + 3/4*h**2 + 1509*h.
3*(h + 1006)**2/4
Let f(x) be the first derivative of -x**4/16 - 31*x**3/6 - 509*x**2/8 + 143*x + 66. Factor f(v).
-(v - 1)*(v + 11)*(v + 52)/4
Let s(t) = -892*t + 23195. Let r be s(26). Factor -44/3*p**5 + 0*p**r + 0*p + 0 + 8/3*p**4 + 0*p**2.
-4*p**4*(11*p - 2)/3
Let h be 0/(-80)*(-2 - (-4 - -1)). Find b such that 5/2*b**5 + b**3 + 0*b**2 + 0 - 7/2*b**4 + h*b = 0.
0, 2/5, 1
Let g(z) be the second derivative of -185*z + 0 + z**3 + 18*z**2 - 1/6*z**4. Suppose g(w) = 0. Calculate w.
-3, 6
Let c(y) be the first derivative of y**4/20 - 19*y**3/3 - 867. Factor c(w).
w**2*(w - 95)/5
Let n(o) be the first derivative of -4*o**5/5 + 2*o**4 + 4*o**3/3 - 4*o**2 - 1414. Let n(x) = 0. Calculate x.
-1, 0, 1, 2
Suppose 3*y - 9 = 12*p, -16019*y - 6 = -p - 16021*y. Find t such that 20*t + p + 1/3*t**2 = 0.
-60, 0
Let d(m) be the second derivative of m**5/110 - 160*m**4/33 - 14*m + 20. Solve d(r) = 0.
0, 320
Let d = -3671/3 - -1224. Let w(c) be the third derivative of -11/6*c**4 - c**2 + 0 + d*c**5 + 4/3*c**3 + 0*c. Factor w(v).
4*(v - 2)*(5*v - 1)
Let q(k) be the first derivative of k**6/72 - k**5/24 - 5*k**4/4 - 2*k**3/3 - 2*k + 48. Let z(n) be the third derivative of q(n). Solve z(d) = 0.
-2, 3
Factor 5*i + 1200 - 45*i - 2*i**2 + 38*i.
-2*(i - 24)*(i + 25)
Factor 176/7 + 156/7*y**2 + 2/7*y**4 + 40*y + 34/7*y**3.
2*(y + 2)**3*(y + 11)/7
Let n(s) be the third derivative of -s**6/120 - 133*s**5/60 - 65*s**4/12 + 44*s**3 + 36*s**2 - 18*s - 1. Factor n(w).
-(w - 1)*(w + 2)*(w + 132)
Suppose -5*g + 15*h = 14*h - 20, -30 = -5*g - h. Let d(y) be the first derivative of 11 - g*y**2 + 0*y + 5/4*y**4 + 5/3*y**3. Find w such that d(w) = 0.
-2, 0, 1
Let i(p) be the first derivative of -3*p**4/28 + 68*p**3/7 + 1827. Factor i(f).
-3*f**2*(f - 68)/7
Let b = -178405 + 713827/4. What is f in b*f**2 + 3/4*f**4 + 75 + 105*f + 21/2*f**3 = 0?
-5, -2
Let h = -49 + 199/4. Let o be (2 - 176/(-11)) + -16. Determine t, given that 0 - 3/2*t**o - 3/4*t**3 - h*t = 0.
-1, 0
Let x(g) be the third derivative of -6*g**2 - 2 + 0*g - 19/105*g**5 - 54/7*g**3 - 33/14*g**4 - 1/210*g**6. Factor x(s).
-4*(s + 1)*(s + 9)**2/7
Solve 34472*o + 2/9*o**4 + 17298 + 153452/9*o**2 - 1112/9*o**3 = 0 for o.
-1, 279
Let r be 8 + (-2 - -2) + 9/(-3). Suppose 2*n - 3*z = -2, -20 = -3*n - 2*n - r*z. Solve 6*d**3 + 4*d**n - 2*d**3 + 68*d - 76*d = 0.
-2, 0, 1
Let y(c) be the third derivative of -c**8/672 + 2*c**7/105 - c**6/12 + 2*c**5/15 + 2*c**2 + 253. Factor y(i).
-i**2*(i - 4)*(i - 2)**2/2
Let n be (189/35 - 6 - (162/30 + -6))/2. Factor n - 1/6*o**2 + 1/6*o.
-o*(o - 1)/6
Let c(g) be the second derivative of -g**6/45 - g**5/30 + 7*g**4/6 + 5*g**3 + 16*g + 10. Solve c(i) = 0 for i.
-3, 0, 5
Let x be (8165/(-35926))/(10/(-88)). Factor -128*m + 52/3*m**x + 192 - 2/3*m**3.
-2*(m - 12)**2*(m - 2)/3
Let h(d) = 40*d**3 + 70*d**2 - 25*d - 5. Let y(c) = 12*c + 3 + 11*c**2 - 4744*c**3 - 14*c**2 - 31*c**2 + 4723*c**3. Let i(f) = -3*h(f) - 5*y(f). Factor i(w).
-5*w*(w + 3)*(3*w - 1)
Let c(p) be the third derivative of -8/3*p**4 - 1/210*p**7 - 7/10*p**5 + 2 + 2*p**2 + 0*p - 11/120*p**6 - 16/3*p**3. Factor c(q).
-(q + 1)*(q + 2)*(q + 4)**2
Let v(l) be the first derivative of -7800*l**2 + 1029/5*l**5 + 6000*l - 1617*l**4 - 55 + 5040*l**3. Factor v(n).
3*(n - 2)*(7*n - 10)**3
Suppose -6*r = -48*r + 84. Suppose -13 = -k - 0*k. Suppose -11*l + 1 - k*l + l**r + 33*l - 11*l = 0. What is l?
1
Factor -654*a - 341056 + 74*a - 1590*a - 166*a + 2*a**2 - 6*a**2.
-4*(a + 292)**2
Let i = 7643 - 7640. Let s(w) be the first derivative of -1/14*w**4 - 4/21*w**i + 1 - 1/7*w**2 + 0*w. Solve s(j) = 0 for j.
-1, 0
Find t, given that -1/2*t**4 + 40326*t - 19309/2*t**2 - 40898 - 141*t**3 = 0.
-143, 2
Suppose -4*q + 40 = -4*r, -3211*r + 3*q - 50 = -3213*r. Determine c, given that -7/9*c**3 + 1/9*c**r - 8/3 - 13/9*c**2 + 43/9*c = 0.
-3, 1, 8
Factor -2/5*r**3 + 182/5*r**2 + 184/5*r + 0.
-2*r*(r - 92)*(r + 1)/5
Let l(k) = 15*k**4 + 87*k**3 - 710*k**2 + 1145*k + 14. Let j(v) = 8*v**4 + 44*v**3 - 356*v**2 + 572*v + 8. Let t(b) = 7*j(b) - 4*l(b). Factor t(u).
-4*u*(u - 3)**2*(u + 16)
Let o be 11/((-77)/(-665)) - 6. Let r be -75 + o - 1*9. Factor -5/3*q**2 + 1/3*q**4 - q**3 + 1/3*q**r - 2/3*q + 0.
q*(q - 2)*(q + 1)**3/3
Let b(p) be the first derivative of -p**4/2 + 1834*p**3/3 - 211591*p**2 + 1253094*p - 2947. Factor b(m).
-2*(m - 457)**2*(m - 3)
Let c = 1235 - 1257. Let h(g) = g**3 + 21*g**2 - 27*g - 107. Let l be h(c). Let -807/4*y**2 - 504*y**4 + 1891/4*y**l - 3 + 40*y + 196*y**5 = 0. What is y?
1/4, 2/7, 3/4, 1
Let j(r) be the first derivative of 15/8*r**4 + 0*r**2 + 9/4*r**3 + 108 + 0*r + 3/20*r**5. Let j(s) = 0. What is s?
-9, -1, 0
Let t(w) be the first derivative of 13/4*w**2 - 1/6*w**3 + 101 - 15*w. Factor t(z).
-(z - 10)*(z - 3)/2
Let n(t) = 3*t + 31. Let y be n(-9). Suppose 4*m + 2 = s + 10, -31 = -y*s - 5*m. Factor -3 - 1463*d**2 + 1455*d**2 + s*d**5 - 12*d**3 + 3.
4*d**2*(d - 2)*(d + 1)**2
Let t(m) be the second derivative of -m**4/36 - 35*m**3/18 - 39*m**2 + 42*m + 32. Factor t(o).
-(o + 9)*(o + 26)/3
Suppose -45*y + 162*y - 90 = -90. Factor 1089/2*s**2 + 1/2*s**4 + 33*s**3 + y*s + 0.
s**2*(s + 33)**2/2
Let z(x) = 7*x**3 + 26*x**2 - 3*x. Let u be (6 - 0)/((-270)/(-180)). Let v(o) = 8*o**3 + 24*o**2 - 4*o. Let b(n) = u*z(n) - 3*v(n). Factor b(g).
4*g**2*(g + 8)
Let h(n) be the second derivative of n**7/7560 + n**6/2160 + 53*n**4/12 - 2*n - 21. Let w(d) be the third derivative of h(d). Factor w(m).
m*(m + 1)/3
Find l such that -490*l**2 + 58*l**4 + 938*l**2 + 2*l**5 + 26*l**4 + 14*l**5 - 492*l**3 + 144*l = 0.
-9, -1/4, 0, 2
Let v(j) be the third derivative of 1/40*j**5 - 4*j**3 + 0*j - j**2 + 3/8*j**4 + 0. Solve v(f) = 0.
-8, 2
Let b(i) be the third derivative of 2 - 17*i**2 + 0*i - 173/30*i**6 + 101/5*i**5 + 445/6*i**4 + 38/105*i**7 - 100/3*i**3. Let b(x) = 0. What is x?
-1, 2/19, 5
Suppose -18*t + 30 = -3*t. Suppose -w + t*l = -6*w + 20, -5*w = 3*l - 25. Solve 2/7*m + 2/7*m**w - 4/7 = 0.
-2, 1
Suppose 76*z - 20 = 71*z. Suppose -z*r**2 + 10*r**2 + 16*r - 4*r**2 - 32 - 4*r**2 = 0. What is r?
4
Let c(t) be the third derivative of 71*t**2 + 0*t + 0 - 1/40*t**5 - 1/240*t**6 + 1/3*t**3 + 0*t**4. Find s such that c(s) = 0.
-2, 1
Let z(d) be the second derivative of 13/5*d**5 + 0 + 125*d + 0*d**2 + 2/15*d**6 - 14/3*d**4 + 0*d**3. Determine k, given that z(k) = 0.
-14, 0, 1
Suppose 2*v**2 - 85*v**3 + 165*v**3 - 4*v**4 - 6402*v**2 + 109*v**3 + 131*v**3 = 0. What is v?
0, 40
Let x(w) = 13*w**3 - 2*w**2 + 2. Let i(q) = -40*q**3 + 5*q**2 - 7. Let t = 288 - 290. Let m(b) = t*i(b) - 7*x(b). Determine h, given that m(h) = 0.
0, 4/11
Let x be (-32)/2*36/(-144). Let z(i) be the second derivative of 1/20*i**5 + 0 + 0*i**x - 1/60*i**6 + 0*i**3 + 4*i + 0*i**2. Determine y so that z(y) = 0.
0, 2
Let n(s) = -115*s**3 + 1225*s**2 - 570*s - 40. Let u(t) = 9*t**3 - 94*t**2 + 44*t + 3. Let m(j) = 3*n(j) + 40*u(j). Let m(q) = 0. What is q?
0, 2/3, 5
Let m(f) be the second 