(b) = 0.
-1
Let z(c) be the first derivative of c**8/1680 + c**7/420 + c**6/360 + 17*c**3/3 - 15. Let p(a) be the third derivative of z(a). Factor p(i).
i**2*(i + 1)**2
Suppose -6*q + 12 = -2*q. Suppose 3*m**2 + 3*m - 6*m + q + 9*m = 0. Calculate m.
-1
Let k(c) be the third derivative of -c**6/360 - 2*c**5/45 - 5*c**4/72 + 25*c**3/9 - 3*c**2 - 6*c. Find a such that k(a) = 0.
-5, 2
Let j(o) = -4*o - 10. Let a be j(-3). Factor 2*y**4 - y**3 - y**4 + y - 47*y**2 + 46*y**a.
y*(y - 1)**2*(y + 1)
Let v(c) = 8*c**2 + 39*c + 85. Let j(r) = -9*r**2 - 39*r - 84. Let a(w) = -5*j(w) - 6*v(w). Factor a(t).
-3*(t + 3)*(t + 10)
Let x(v) = 22*v**3 + v**2. Suppose 0 = 4*c - 5 + 1. Let p be x(c). Factor -p*n**2 + 22*n**3 + 2 + 16*n**4 - 4 - 15*n + 2*n**3.
(n - 1)*(n + 2)*(4*n + 1)**2
Let v(w) be the second derivative of 0 - 1/20*w**5 + 1/16*w**4 + 1/120*w**6 + 14*w + 0*w**3 + 0*w**2. Solve v(u) = 0.
0, 1, 3
Factor h**3 - h**2 - h - 5*h**2 - 9*h**2 - 2 + 17*h**2.
(h - 1)*(h + 1)*(h + 2)
Factor -4/5*r**4 + 32/5*r**2 + 0*r - 28/5*r**3 + 0.
-4*r**2*(r - 1)*(r + 8)/5
Suppose 0 + 104/3*t**2 + 10/3*t**5 + 134/3*t**3 + 8*t + 64/3*t**4 = 0. What is t?
-3, -2, -1, -2/5, 0
Let v(o) be the second derivative of -o**6/45 - o**5/3 - 11*o**4/18 + 70*o**3/9 + 134*o + 1. Factor v(u).
-2*u*(u - 2)*(u + 5)*(u + 7)/3
Let a(v) be the second derivative of -v**6/40 + v**5/10 - 10*v**2 - 3*v. Let u(z) be the first derivative of a(z). Factor u(s).
-3*s**2*(s - 2)
Let m = -38 + 62. Suppose -9*x = -7*x - m. Determine z, given that 15*z**5 - 9*z**3 + z**4 + 5*z**4 + z - x*z**5 - 12*z**2 + 11*z = 0.
-2, 0, 1
Factor -181*p - 2*p**2 - 168 + 69*p - 120 + 2*p**3.
2*(p - 9)*(p + 4)**2
Let h = 2/31 - -23/124. Suppose -3*g - 30 + 17 = -4*b, -b = -4*g. Factor 1/2*v + 0 + h*v**2 - 1/4*v**b - 1/2*v**3.
-v*(v - 1)*(v + 1)*(v + 2)/4
Let r(k) be the third derivative of k**11/33264 - k**10/10080 + k**9/12096 + k**5/60 + 9*k**2. Let y(d) be the third derivative of r(d). Factor y(n).
5*n**3*(n - 1)*(2*n - 1)
Let o(c) be the third derivative of 14*c**2 + 0*c**5 + 0*c - 1/180*c**4 + 1/900*c**6 + 0 + 0*c**3. Suppose o(a) = 0. What is a?
-1, 0, 1
Suppose 7 = 2*f + 1. Let f*l**3 - 9*l**3 + 4*l**3 + l**2 + l**4 = 0. What is l?
0, 1
Let -896*n**4 + 40*n**3 + 454*n**4 + 5*n + 74*n**2 + 7*n + 420*n**4 = 0. Calculate n.
-1, -2/11, 0, 3
Let x(a) = -a**3 + 11*a**2 + a - 9. Suppose 3*g - 22 = g - v, -4*g - 3*v = -44. Let y be x(g). Solve 4*m**2 - m**2 + 2*m**4 - 4*m**3 - m**y = 0 for m.
0, 1
Let t(m) be the third derivative of m**8/168 + 16*m**7/105 + 73*m**6/60 + 3*m**5/5 - 27*m**4 + 72*m**3 + m**2 + 13*m. Suppose t(i) = 0. Calculate i.
-6, 1
Let d = -50 + 2001/40. Let g(r) be the second derivative of 1/6*r**4 + 9*r + 0 + 1/2*r**2 - 5/12*r**3 - d*r**5. Factor g(u).
-(u - 2)*(u - 1)**2/2
Let r = -1201/12 + 301/3. Let k(l) be the first derivative of -1/3*l**3 + 1/2*l**2 - r*l**4 + l - 2. Factor k(s).
-(s - 1)*(s + 1)**2
Let l(f) = -f**2 + 172*f + 8. Let a(w) = -2*w**2 + 343*w + 14. Let j(g) = 4*a(g) - 7*l(g). Find o such that j(o) = 0.
0, 168
Let c(a) be the first derivative of -a**5/140 - a**4/56 + 3*a**3/7 + 15*a**2/2 + 2. Let x(f) be the second derivative of c(f). Factor x(w).
-3*(w - 2)*(w + 3)/7
Let r(i) be the first derivative of i**7/735 + i**6/420 - i**5/210 - i**4/84 + 29*i**2/2 - 6. Let v(p) be the second derivative of r(p). Factor v(q).
2*q*(q - 1)*(q + 1)**2/7
Let w(g) be the third derivative of g**7/35 + 17*g**6/60 + 31*g**5/30 + 23*g**4/12 + 2*g**3 - 40*g**2. Find t such that w(t) = 0.
-3, -1, -2/3
Let n = 115 - 114. Let p = n + -1. Factor 1/5*o**2 - 2/5*o**3 + p - 1/5*o**4 + 2/5*o.
-o*(o - 1)*(o + 1)*(o + 2)/5
Let 2/9*v**2 - 32/9 + 4/3*v = 0. Calculate v.
-8, 2
Let m(y) be the second derivative of y**7/63 - 2*y**6/45 - y**5/15 + 2*y**4/9 + y**3/9 - 2*y**2/3 - 16*y. Solve m(w) = 0 for w.
-1, 1, 2
Let g(m) be the first derivative of -45*m**4/4 + 845*m**3/3 + 95*m**2 + 750. Let g(i) = 0. What is i?
-2/9, 0, 19
Let d(f) be the second derivative of f**5/130 + 2*f**4/39 + f**3/39 - 6*f**2/13 - 3*f - 28. Suppose d(u) = 0. What is u?
-3, -2, 1
Let m(k) = -2*k + 54. Let i be m(15). Suppose -i*h + 3 = -45. Find t, given that 0 + 1/4*t - 3/8*t**h + 1/8*t**3 = 0.
0, 1, 2
Let j(t) = 3*t**2 + 5*t**3 - 17*t + 6*t + 6*t + 5*t**4 - 13*t**2. Let r(w) = 2*w**4 + 3*w**3 - 5*w**2 - 3*w. Let f(n) = -3*j(n) + 5*r(n). Factor f(s).
-5*s**2*(s - 1)*(s + 1)
Let b be (-12)/60 + 44/20. Let i(d) be the first derivative of 6 - 1/6*d**b + 1/12*d**4 - 1/9*d**3 + 1/3*d. Suppose i(v) = 0. Calculate v.
-1, 1
Let w(u) be the first derivative of u**4/24 - 5*u**3/9 + 384. Suppose w(p) = 0. Calculate p.
0, 10
Let v(b) be the third derivative of -1/175*b**7 + 0*b**3 + 0 + 0*b - 1/840*b**8 - 1/300*b**6 + 1/30*b**4 + 1/50*b**5 - 2*b**2. What is m in v(m) = 0?
-2, -1, 0, 1
Let v(b) be the second derivative of 0*b**4 + 0*b**3 + 1/80*b**5 + 0*b**2 + 0 - 16*b. Factor v(i).
i**3/4
Let y(k) be the first derivative of -2/3*k**2 + 2/9*k**3 - 49 + 2/3*k. Factor y(v).
2*(v - 1)**2/3
Let z(d) be the second derivative of -d**6/30 - d**5/20 + d**4/6 - 17*d + 4. Factor z(y).
-y**2*(y - 1)*(y + 2)
Find y such that -3*y**2 + y**4 + 27*y - 6*y**2 - 15*y**3 - y**4 - 3*y**4 = 0.
-3, 0, 1
Let g(d) be the first derivative of -394*d**3/9 - 65*d**2 + 4*d/3 + 348. Factor g(r).
-2*(r + 1)*(197*r - 2)/3
Suppose -3*s + 4*a - 20 = 0, -3*s = -6*s - 5*a + 25. What is v in 8*v**2 + s - 9*v - v**2 + 2*v**2 - 3*v**3 + 3 = 0?
1
Let r be (249/3)/(1/1). Suppose 3*m**5 + 6*m**2 + r*m**4 + 9*m**3 + 6*m**3 - 71*m**4 = 0. What is m?
-2, -1, 0
Let z be ((-21)/(-12))/(4/16). Let p = 9 - z. Factor 3*c + 8 - 5*c**2 - 2 - 3*c**3 + 5*c**p - 6*c**2.
-3*(c - 1)*(c + 1)*(c + 2)
Suppose -3*i + 15 = 126*y - 123*y, 4*i - 20 = 5*y. What is c in 1/2*c**3 + y + 3/2*c**4 - 2/3*c - 4/3*c**2 = 0?
-2/3, 0, 1
Let v = -909 + 9091/10. Let c(q) be the first derivative of 0*q - 4 + 0*q**3 + 3/25*q**5 - 3/10*q**4 + v*q**6 + 0*q**2. Factor c(f).
3*f**3*(f - 1)*(f + 2)/5
Find c, given that -11/4 + 3*c - 1/4*c**2 = 0.
1, 11
Find t, given that -24000 + 9600*t - 1080*t**2 + 48*t**3 - 3/4*t**4 = 0.
4, 20
Let v(u) = 10*u**2 + 117*u + 118. Let c(m) = 5*m**2 + 59*m + 54. Let s(o) = -7*c(o) + 3*v(o). Solve s(g) = 0 for g.
-12, -2/5
Let t(f) be the first derivative of -f**8/336 + f**7/168 + f**6/72 - f**5/24 + 2*f**3/3 - 6. Let k(x) be the third derivative of t(x). Factor k(h).
-5*h*(h - 1)**2*(h + 1)
Factor 5*p**3 + 3 + 7 - 10 - 10*p**3 + 20*p.
-5*p*(p - 2)*(p + 2)
Suppose -5*k = 21 - 6, 50 = -4*r - 2*k. Let s = 13 - r. Determine p, given that s*p**3 - 5*p - p - 3*p**3 + 15*p**2 = 0.
-1, 0, 2/7
Let s = -12455/42 + 1781/6. Factor -s*l**2 + 4/7 + 2/7*l.
-2*(l - 2)*(l + 1)/7
Let s = -12/5147 - -77289/36029. Find v, given that s*v + 0 - 3/7*v**2 = 0.
0, 5
Let u = 213 + -1277/6. Let v(z) be the second derivative of 4*z + 0 - u*z**3 - 1/24*z**4 + 0*z**2. Factor v(p).
-p*(p + 2)/2
Let t(k) = 22*k - 171. Let n be t(8). Let o(c) be the second derivative of 8*c + 1/5*c**3 - 1/10*c**4 + 0 + 1/50*c**n - 1/5*c**2. Suppose o(y) = 0. Calculate y.
1
Let f(b) be the first derivative of -b**3/3 - 16*b**2 + 62. Factor f(n).
-n*(n + 32)
Let y(h) be the third derivative of h**6/72 - 5*h**4/24 - 5*h**3/3 - 17*h**2. Let u(j) be the first derivative of y(j). Factor u(a).
5*(a - 1)*(a + 1)
Let u(m) be the second derivative of -5/78*m**4 + 0*m**2 - 2/39*m**3 - 2/65*m**5 - 6*m + 0 - 1/195*m**6. Let u(j) = 0. Calculate j.
-2, -1, 0
Let s(o) be the third derivative of o**7/70 + o**6/10 - o**5/4 - 362*o**2. Factor s(f).
3*f**2*(f - 1)*(f + 5)
Let w(h) be the third derivative of h**5/45 + 8*h**4/9 - 143*h**2. Factor w(g).
4*g*(g + 16)/3
Suppose 4*u + 63 = h, 2*h - 3*u - 114 = -7*u. Suppose 15*n - h = 1. Solve -n*q + 1/2*q**2 + 8 = 0 for q.
4
Suppose 0 - 2/5*x**3 - 2/25*x**4 + 24/25*x + 16/25*x**2 = 0. Calculate x.
-6, -1, 0, 2
Factor -105*v + 3/5*v**5 + 6*v**2 + 138/5*v**3 - 39/5*v**4 - 75.
3*(v - 5)**3*(v + 1)**2/5
Solve 21*y + 52/5*y**2 + 1/5*y**5 - 2*y**3 + 10 - 6/5*y**4 = 0 for y.
-2, -1, 5
Factor 671*i**2 - 332*i**2 + 73*i - 33*i - 336*i**2 + 134*i.
3*i*(i + 58)
Let z(t) be the first derivative of t**7/14 + t**6/5 - 3*t**5/20 - t**4/2 + 27*t - 31. Let l(k) be the first derivative of z(k). What is o in l(o) = 0?
-2, -1, 0, 1
Let r(a) be the f