he second derivative of 4*s**7/21 + 7*s**6/15 + s**5/5 - s**4/6 - 3009*s. Suppose w(f) = 0. Calculate f.
-1, 0, 1/4
Suppose -22*v = -26*v + 12. Let o(k) = k + 16. Let b be o(0). Factor -8*z**2 - v*z**3 + 2*z**3 + 2*z**3 + b*z.
z*(z - 4)**2
Let o(a) = a + 1. Suppose -2*l = 3*z - 9, 66 - 31 = 4*z - 5*l. Let r(h) = 3 + h**2 + 7*h + 4 - 4. Let y(p) = z*r(p) - 15*o(p). Solve y(u) = 0 for u.
-4, 0
Let s be -245*16/(-200)*-5. Let k = -96 - s. Factor -27/4*q + 15/4*q**k - 3/2.
3*(q - 2)*(5*q + 1)/4
Suppose 1/2*t**2 + 21 + 13/2*t = 0. What is t?
-7, -6
Let g(h) be the first derivative of 196 + 1/18*h**6 - 1/15*h**5 + 0*h**2 + 0*h + 1/9*h**3 - 1/12*h**4. Factor g(m).
m**2*(m - 1)**2*(m + 1)/3
Let f be (-2 - -12) + 30/(-3) - 5*(-8)/220. Determine u, given that -12/11*u - f*u**2 - 18/11 = 0.
-3
Suppose -4*r + 2*b = -190, -7*b = -4*r - 2*b + 187. Factor 12 + 33*c**2 + 53*c**2 + r*c - 65*c**2.
3*(c + 2)*(7*c + 2)
Suppose -3*v = 5*q - 1563, -5*q - 5*v + 964 = -591. Let y = q - 312. Solve -1/3*u**y + 0 - 2/3*u**2 + u = 0 for u.
-3, 0, 1
Let i(z) = z**2 - z - 1. Let u(j) = 8 - 1 - 6*j - 8 + 11. Let p(r) = 2*i(r) + u(r). Factor p(d).
2*(d - 2)**2
Let w(h) = 2*h**2 + 29*h - 70. Let t(r) = -11*r**2 - 172*r + 422. Let c(b) = 3*t(b) + 17*w(b). Factor c(v).
(v - 19)*(v - 4)
Let s = 148 + -133. Suppose -4*j + s = j. Solve -h**2 - 3*h**2 + 2*h**2 + 20 - j*h**2 + 15*h = 0.
-1, 4
Let o(q) = 3*q**5 + q**3 + q + 1. Let t(d) = 16*d**5 - 8*d**3 - 12*d**2 + 5*d + 5. Let l(s) = 5*o(s) - t(s). Factor l(g).
-g**2*(g - 4)*(g + 1)*(g + 3)
Let b(p) = -1628*p**4 - 37552*p**3 - 6496*p**2 + 2836*p - 188. Let u(v) = 2*v**4 + v**3 - v**2 + 2*v + 1. Let x(w) = b(w) + 4*u(w). Solve x(a) = 0.
-23, -2/5, 1/9
Let z(q) be the third derivative of q**6/30 - 29*q**5/15 - 253*q**4/6 + 17986*q**3/3 - 3431*q**2. Factor z(w).
4*(w - 23)**2*(w + 17)
Suppose 12*u + 11*u - 46 = 0. Factor 21*s - 16 + 27*s + 24*s - s**u - 62*s.
-(s - 8)*(s - 2)
Suppose 3*c - 4*i + 16 = 0, 11*i - 7*i = 5*c + 16. Let j(t) be the first derivative of c*t - 5 + 0*t**4 + 0*t**3 + 5/6*t**6 + 0*t**2 + t**5. Factor j(m).
5*m**4*(m + 1)
Let m(x) = 7*x**3 + 141*x**2 + 278*x - 36. Let j(o) = -6*o**3 - 141*o**2 - 276*o + 27. Let q(n) = -4*j(n) - 3*m(n). Factor q(d).
3*d*(d + 2)*(d + 45)
Let a be 2 + 1 + 4/((-4)/(-27)). Let q be ((-8)/(-6))/(6*a/81). Factor q*n**3 + 12/5 + 27/5*n**2 - 3/5*n**4 + 33/5*n.
-3*(n - 4)*(n + 1)**3/5
Let o(j) = -j**4 + j**3 - j**2. Let p(s) = 28*s**5 + 136*s**4 + 180*s**3 + 52*s**2 - 32*s. Let i(q) = -4*o(q) - p(q). Suppose i(w) = 0. Calculate w.
-2, -1, 0, 2/7
Factor 1/2*v**3 - 133 - 68*v**2 + 401/2*v.
(v - 133)*(v - 2)*(v - 1)/2
Let n be (-6)/(-11) + 4312/968. Suppose 5*b**2 - n*b**2 - 44*b - 61 - 43 + 4*b**2 = 0. What is b?
-2, 13
Let p be (0 - -49) + 20821/(-443). Let -3/4*d + 1/4*d**p + 0 = 0. What is d?
0, 3
Let r(a) = -13*a**2 + 1677*a - 815. Let w(v) = 29*v**2 - 3355*v + 1623. Let g(u) = -14*r(u) - 6*w(u). Factor g(c).
4*(c - 418)*(2*c - 1)
Let y(x) be the third derivative of x**7/504 + x**6/72 + x**5/24 + 5*x**4/72 - 31*x**3/6 + 24*x**2 + 2*x. Let v(z) be the first derivative of y(z). Factor v(w).
5*(w + 1)**3/3
Suppose -l**4 - 960400 - 6721*l**2 + 14104*l**3 + 135240*l - 7043*l**3 - 6923*l**3 = 0. What is l?
20, 49
Suppose 0 = -3*o + 6, 3*t + 4*o = 7*t. Suppose -467 - 301 = -6*u. Factor 2*r**2 - u - 2*r**t + 0*r**2 + 32*r - 2*r**2.
-2*(r - 8)**2
Let c = -10695 - -10707. Let t(d) be the first derivative of 22 - d**2 + c*d - 2/3*d**3. Factor t(m).
-2*(m - 2)*(m + 3)
Let d(m) = m**2 - 144*m + 5184. Let u(i) = -7*i**2 + 1008*i - 36288. Let h(w) = 15*d(w) + 2*u(w). What is v in h(v) = 0?
72
Factor 2/7*x**2 + 18/7*x - 72.
2*(x - 12)*(x + 21)/7
Suppose -36/5 + 36/5*v**2 + 3/5*v**3 - 3/5*v = 0. What is v?
-12, -1, 1
What is n in -591*n**2 + 631*n**2 + 4*n**3 + 32*n - n**4 - 3*n**4 + 6926 - 6926 = 0?
-2, -1, 0, 4
Suppose -15 = 73*h - 74*h + y, 12*h - y = 37. Factor 0 + 33/5*s - 3/5*s**h.
-3*s*(s - 11)/5
Let u(v) be the first derivative of v**2 + 1/2*v**4 - 22 + 4/3*v**3 + 0*v. Let u(d) = 0. What is d?
-1, 0
Suppose 71*t + 29 = -255. Let q be (198/(-99))/(t/6). Suppose 22/9*a**2 + 0 - 14/9*a**q + 2/9*a**4 - 10/9*a = 0. Calculate a.
0, 1, 5
Suppose -4*s + 15 = -f - 5, -5*s + 30 = 0. Let k(j) be the third derivative of 0*j**3 + 0 - 1/210*j**6 - 2/21*j**f + 4/105*j**5 + 16*j**2 + 0*j. Factor k(o).
-4*o*(o - 2)**2/7
Let i(x) = -x + 4. Let n be i(-1). Suppose -2*h - 2*l = -36, 89 - 3 = 3*h - n*l. Factor 59*y**2 - 109*y**2 + 60*y + 4*y**3 + h*y**2 - 36.
4*(y - 3)**2*(y - 1)
Let y(a) be the second derivative of a**6/120 - a**5/20 + a**4/8 - a**3/6 - 15*a**2/2 + 6*a + 1. Let j(r) be the first derivative of y(r). Factor j(z).
(z - 1)**3
Let q(x) = x**3 - 5*x**2 + 2*x - 5. Let i be q(5). Let k be 0 + i + -1 - 0. Determine n, given that 48*n**3 + 2*n**5 - 50*n**3 + n**2 - 2*n**k + n**2 = 0.
-1, 0, 1
Let b be 2*1*6/6 + 1. Factor 15172*z + 49*z**5 + 188*z**2 + 217*z**4 - 15196*z + 104*z**3 - 534*z**b.
z*(z - 1)*(z + 6)*(7*z - 2)**2
Let l(u) = u**2 - u - 1. Let s(o) = 4*o**2 - 3*o + 5. Let x(t) = -2*l(t) + s(t). Let n be x(3). Factor -19*w**3 + n*w**3 + 1 - 1.
3*w**3
Let h(l) be the first derivative of 31 - 7*l**2 + 4/3*l**3 + 1/2*l**4 + 8*l. Let h(d) = 0. Calculate d.
-4, 1
Let g be (-96)/768 + (-50)/(-16). Suppose -g*u - 4*k + 12 = 0, 0 = u - 5*k + 34 - 19. Factor 1/2*c**2 + 1/4*c**3 + u + 0*c.
c**2*(c + 2)/4
Let d(x) be the third derivative of -x**7/210 + x**6/45 - x**5/30 + 41*x**3/6 + 66*x**2 - 1. Let a(l) be the first derivative of d(l). Factor a(f).
-4*f*(f - 1)**2
Suppose -220*s - t = -221*s - 5, 3*s + 42 = 6*t. Find z, given that 68/5*z - 64/5*z**3 + 0 - 72/5*z**2 + 72/5*z**s - 4/5*z**5 = 0.
-1, 0, 1, 17
Let x(u) be the second derivative of 3*u**7/280 + u**6/30 + u**5/40 - 41*u**3/6 - 45*u + 2. Let y(b) be the second derivative of x(b). Factor y(k).
3*k*(k + 1)*(3*k + 1)
Let j = -1839 - -1875. Let k = 23 + -11. Factor 30*z - j*z**3 - 3*z - k*z**2 - 7*z - 4.
-4*(z + 1)*(3*z - 1)**2
Factor 3/7*i**3 - 3/7*i + 18/7 - 18/7*i**2.
3*(i - 6)*(i - 1)*(i + 1)/7
Let f(k) be the first derivative of k**4/12 - 5*k**3/6 - 3*k**2 + 347*k + 302. Let z(j) be the first derivative of f(j). Let z(y) = 0. Calculate y.
-1, 6
Let g(n) = 260*n + 4. Let c be g(0). Let a(r) be the second derivative of 1/20*r**5 - 5/6*r**3 + 13*r + 3/2*r**2 + 0 + 1/12*r**c. Factor a(x).
(x - 1)**2*(x + 3)
Let q(z) be the second derivative of -5*z**4/12 + 3325*z**3/3 - 2211125*z**2/2 + 2420*z. Factor q(o).
-5*(o - 665)**2
Suppose 174*k + 0 = 37*k - 0. Let i(c) be the third derivative of k*c - 3/20*c**5 + 1/120*c**6 + 5/8*c**4 - 7/6*c**3 + 0 - 4*c**2. Factor i(a).
(a - 7)*(a - 1)**2
Suppose 0 = -5*q + 8 + 27. Let j be 11/(385/10)*q. Determine w, given that -40/3*w + 92/9*w**j - 8/3*w**3 + 50/9 + 2/9*w**4 = 0.
1, 5
Let b(s) be the second derivative of -s**7/14 - 7*s**6/5 - 99*s**5/20 + 28*s**4 - 32*s**3 - 119*s. Factor b(o).
-3*o*(o - 1)**2*(o + 8)**2
Suppose 5 = -i, 0 = 5*u + i - 14 - 21. Let b be ((-2)/u)/((-90)/216). Factor -b*k**2 + k + 2/5.
-(k - 2)*(3*k + 1)/5
Let h be 1 - (1 - -1) - ((-513)/(-133) - 6). Let r(o) be the third derivative of 0*o + 0 + h*o**3 + 1/140*o**5 + 25*o**2 + 1/7*o**4. Factor r(n).
3*(n + 4)**2/7
Let -10*z - 175/4 - 1/4*z**2 = 0. What is z?
-35, -5
Let f(m) be the third derivative of -1/10*m**6 + 2 + 1/84*m**8 + 0*m - 4/3*m**4 + 0*m**3 + 8/105*m**7 - 14/15*m**5 + 5*m**2. Factor f(i).
4*i*(i - 2)*(i + 1)**2*(i + 4)
Let r be -10 + 113 + (-2)/(3 + -1). Suppose -r - 3*s**2 + s**2 - 15*s - 23*s - 51*s - 15*s = 0. What is s?
-51, -1
Let y = -3557744749/2742264 + -1/342783. Let b = -1297 - y. Solve -3/2*x**2 + 3/4 + 3/8*x**5 + b*x - 3/4*x**3 + 3/4*x**4 = 0 for x.
-2, -1, 1
Let p be (3*(-35)/(-10)*(-55)/(-770))/((-1)/(-486)). Solve 1/8*y**2 - 27/2*y + p = 0 for y.
54
Suppose -7*b + 6*b = -4. Suppose 2*w = -2*k + b*k - 6, 0 = 5*k + w - 9. Let 3/7*v + 2/7*v**k + 1/7 = 0. What is v?
-1, -1/2
Let p be (-3 + 7)/4 - (32 + -33). Let x = -2 + 7. Determine v so that 3*v**2 + p*v**5 - x*v**2 - 4*v**5 + 2*v**4 + 13*v**3 - 11*v**3 = 0.
-1, 0, 1
Suppose -388/5*o**2 - 4/5*o**5 - 384/5*o - 188/5*o**3 - 144/5 - 44/5*o**4 = 0. Calculate o.
-3, -2, -1
Solve 62 + 6180*z - 2*z**2 - 2660*z + 3460 = 0.
-1, 1761
Let z = 60381 - 60380. Let -7/2*j - z - 11/2*