a) = 0.
-1, 0, 2/5
Let f(y) be the first derivative of y**7/210 - y**6/60 + y**5/60 + 17*y**2/2 - 10. Let v(d) be the second derivative of f(d). Factor v(g).
g**2*(g - 1)**2
Let q(h) be the first derivative of 5*h**6/6 - 3*h**5 + 65*h**4/16 - 5*h**3/2 + 5*h**2/8 + 148. Factor q(k).
5*k*(k - 1)**2*(2*k - 1)**2/4
Solve 3/7*t**3 + 90/7 + 141/7*t + 54/7*t**2 = 0 for t.
-15, -2, -1
Suppose -4/5*j**5 + 8/5*j**4 + 8/5*j**3 + 8/5 - 4/5*j - 16/5*j**2 = 0. Calculate j.
-1, 1, 2
Let w be (-2 + -2)/((-60)/(-32) - 2). Suppose 27*k = w*k. Let 1/2*o**3 + k*o + 1/2*o**2 + 0 = 0. Calculate o.
-1, 0
Let h = 11105/2007 - -5/223. Factor -20/9*l + h + 2/9*l**2.
2*(l - 5)**2/9
Factor -13*z**3 + 22*z**2 - 12*z**2 - 5*z**4 + 30*z + 15*z**2 + 3*z**3.
-5*z*(z - 2)*(z + 1)*(z + 3)
Let w(y) = -7*y**2 + 13*y + 12. Let k(s) = -s**2 + 3*s. Let f(a) = -5*k(a) + w(a). Factor f(d).
-2*(d - 2)*(d + 3)
Suppose -3*m + 7*m - 24 = 0. Let a be (m/9)/((-14)/(-3)). What is w in 1/7*w**2 - 1/7 + 1/7*w - a*w**3 = 0?
-1, 1
Let 0*d**2 + 0 - 5/6*d**3 + 5/6*d = 0. What is d?
-1, 0, 1
Suppose -r = -5*b, -2*r - b - 16 = -3*r. Find f, given that 28*f**2 - 1 + 32*f - r*f**3 - 12 - 3 = 0.
-1, 2/5, 2
Let -20*m**2 + 17*m - 6*m + 20 + 8*m - 14*m - 5*m**3 = 0. Calculate m.
-4, -1, 1
Let p(s) be the second derivative of s**6/15 + s**5/4 + 3*s**4/4 + s**2 - s. Let a(v) = v**3 - v**2 + v - 1. Let y(n) = -2*a(n) - p(n). Let y(x) = 0. What is x?
-2, -1, -1/2, 0
Let s(o) = -o**3 - 51*o**2 - 4*o + 4. Let z(g) = -51*g**2 - 3*g + 3. Let a(j) = -3*s(j) + 4*z(j). Factor a(y).
3*y**2*(y - 17)
Let i = 14 + 0. Let k = 6 - i. Let z(j) = -11*j**2 + 3*j + 6. Let s(a) = 7*a**2 - 2*a - 4. Let r(g) = k*s(g) - 5*z(g). Let r(v) = 0. Calculate v.
-1, 2
Let b be -20 + (23 - (24 + -24)). Factor -4/7*i**b + 8/7*i - 8/7 + 6/7*i**2 - 2/7*i**4.
-2*(i - 1)**2*(i + 2)**2/7
Let z(n) be the first derivative of -13*n**4/20 + n**3 - n**2/5 - 145. Suppose z(v) = 0. What is v?
0, 2/13, 1
Solve 18 + 55/3*n + 1/3*n**2 = 0 for n.
-54, -1
Let n be ((-828)/(-552))/((-2)/(-4)). Factor -8/5*x + 0 - 32/5*x**2 + 18/5*x**n.
2*x*(x - 2)*(9*x + 2)/5
Let m(g) be the first derivative of -g**4/4 - 19*g**3/21 + 3*g**2/7 - 43. Find l, given that m(l) = 0.
-3, 0, 2/7
Let f(u) be the second derivative of -u**7/504 + 43*u**6/180 - 1849*u**5/240 - 189*u + 1. Factor f(s).
-s**3*(s - 43)**2/12
Let h(y) = -40*y**3 + 80*y**2 - 38*y + 2. Let v(p) = p**4 - 2*p**3 + p**2 + p + 1. Let k(m) = h(m) - 2*v(m). Let k(o) = 0. Calculate o.
-20, 0, 1
Let k(f) = 2*f**4 + 18*f**3 + 14*f**2 - 18*f - 16. Let q(n) = 3*n**4 + 37*n**3 + 29*n**2 - 37*n - 32. Let t(p) = -5*k(p) + 2*q(p). What is g in t(g) = 0?
-2, -1, 1
Let w(s) be the first derivative of 0*s - 1/3*s**2 - 10 + 2/27*s**3. What is r in w(r) = 0?
0, 3
Suppose -i = 2*q - 34, 3*q - 119 = -3*i - 14. Let n = -32 + i. Determine k, given that 6*k**3 + 0*k**n + 24*k**2 + 0*k**4 - 10*k**4 + 8*k = 0.
-1, -2/5, 0, 2
Let m(c) be the first derivative of 0*c + 0*c**3 - 1/2*c**4 + c**2 - 6. Factor m(v).
-2*v*(v - 1)*(v + 1)
Let i = -5441 - -48971/9. What is q in 0 + 0*q - 4/9*q**3 - i*q**2 - 2/9*q**4 = 0?
-1, 0
Solve -10*t**3 + 16 + 20*t**2 - 19*t - 15*t + 15*t**3 - 7*t**3 = 0 for t.
1, 8
Let n be ((-2)/(-6))/(1/75). Suppose 4*x = -3*a - 0*a + n, -2*x = 2*a - 14. Suppose -2*w**3 + 2*w**3 + 2*w**3 + 2*w**x + 0*w**4 = 0. Calculate w.
-1, 0
Suppose -15*k = -10*k - 10. Factor -6*f**2 + 3 - 2*f**2 + 12 + 3*f**k + 10*f.
-5*(f - 3)*(f + 1)
Suppose 27/2*w - 1/4*w**5 - 9/4*w**3 - 7/4*w**4 + 27/4*w**2 + 0 = 0. What is w?
-3, 0, 2
Let f(k) be the second derivative of 0 - 3/5*k**5 - 6*k + 0*k**3 + 0*k**2 - 2/3*k**4. Find o such that f(o) = 0.
-2/3, 0
Let g(t) be the first derivative of -3*t**4/20 + 2*t**3/15 + t**2/10 + 267. Factor g(v).
-v*(v - 1)*(3*v + 1)/5
Suppose -20 = -4*t - 0*t. Suppose t*x - 17 = 13. Let 2*v**2 - 2*v**3 + x*v**3 + v**2 - v**3 = 0. What is v?
-1, 0
Let d(g) be the second derivative of g**6/150 - g**4/10 - 4*g**3/15 - 3*g**2/10 + 81*g. Factor d(j).
(j - 3)*(j + 1)**3/5
Let f(t) = -3*t**3 - 14*t**2 + 12*t - 14. Let m(l) = l**3 + 4*l**2 - 4*l + 4. Let h(d) = -6*f(d) - 21*m(d). Let h(p) = 0. What is p?
-2, 0, 2
Let v = 102 - 48. Find c such that -4*c**2 + 6*c**5 + 6*c**4 + v*c**3 - 27*c - 33*c**5 + 6 - 8*c**2 = 0.
-1, 2/9, 1
Let l(q) be the first derivative of -q**5/6 - q**4 - 4*q**3/3 - 7*q**2/2 - 9. Let z(n) be the second derivative of l(n). Factor z(f).
-2*(f + 2)*(5*f + 2)
Let l = 86 + -84. Solve 69*v - 69*v - 6*v**l - 2*v**3 + 8 = 0 for v.
-2, 1
Let l(o) be the first derivative of -7/3*o**3 + 2*o + 3/4*o**4 - 3/2*o**2 + 4. Let z(u) = -u**3 + u**2 + u. Let j(c) = l(c) + 5*z(c). Factor j(m).
-2*(m - 1)*(m + 1)**2
Let q(j) = j**4 + 62*j**3 - 59*j**2 - 127*j - 7. Let p(a) = 20*a**3 - 20*a**2 - 42*a - 2. Let y(i) = 7*p(i) - 2*q(i). Factor y(x).
-2*x*(x - 5)*(x - 4)*(x + 1)
Let t(w) = -w**3 - 2*w + 5. Let x(o) = o**3 - 55*o**2 + 4*o - 10. Let v(g) = -6*t(g) - 3*x(g). Suppose v(u) = 0. Calculate u.
-55, 0
What is y in -2/5*y**2 - 16/5 - 18/5*y = 0?
-8, -1
Let t be (-5 - 80/(-15))*100. Let h = t - 32. Factor h*b**3 - 4/3*b**2 + 0*b + 0.
4*b**2*(b - 1)/3
Let h be (-1)/(-2)*-1 + 13/2. Let g(y) = 4*y**2 + 4*y + 3. Let u(d) = 17*d**2 + 16*d + 12. Let b(o) = h*u(o) - 26*g(o). Let b(t) = 0. What is t?
-3, -1
Let q(s) be the first derivative of s**6/195 - s**5/130 - 2*s**4/39 + 4*s**3/39 + 5*s + 33. Let t(w) be the first derivative of q(w). Let t(c) = 0. What is c?
-2, 0, 1, 2
Factor -51/4*i**2 + 4 + 21/2*i - 7/4*i**3.
-(i - 1)*(i + 8)*(7*i + 2)/4
Let h(s) = -17*s**3 - 2*s**2 + 55*s - 36. Let r(v) = 11*v**3 + 2*v**2 - 37*v + 24. Let k(c) = -5*h(c) - 8*r(c). Factor k(l).
-3*(l - 1)**2*(l + 4)
Factor -45*r**3 - 26*r**2 - 13*r**2 - 27*r**4 + 54*r**5 + 6*r**4 - 57*r**5 - 12*r.
-3*r*(r + 1)**3*(r + 4)
Suppose 4*b - 29 = -3*w, -b + w - 71 + 66 = 0. Find d, given that 4/5*d**4 - 16/5 + 16/5*d**3 - 16/5*d + 12/5*d**b = 0.
-2, -1, 1
Let a = -22 + 20. Let j(t) = -t**3 + t**2. Let b(n) = 2*n**4 + 10*n**3 - 16*n**2 + 4*n. Let f(v) = a*b(v) - 28*j(v). Factor f(l).
-4*l*(l - 2)*(l - 1)*(l + 1)
Let o(j) = -j**4 - j. Let c(s) = -42*s**3 - 7*s**4 + 10 - 2*s**2 + 34*s - 2*s**4 - 7*s**4. Let x(p) = -c(p) + 8*o(p). Let x(f) = 0. What is f?
-5, -1, -1/4, 1
Let a = 63 + -62. Let w be (4 + -3)*(a + 3/(-6)). Factor 0*y - w*y**4 + y**3 + 0 - 1/2*y**2.
-y**2*(y - 1)**2/2
Let c(a) be the third derivative of a**7/840 - a**6/48 - 3*a**5/20 - 19*a**4/48 - 13*a**3/24 + 140*a**2. What is p in c(p) = 0?
-1, 13
Suppose 0 = 5*w - 9 - 1. Let p(o) = -70*o**2 + 90*o - 20. Let y(a) = 35*a**2 - 45*a + 10. Let v(i) = w*p(i) + 5*y(i). What is g in v(g) = 0?
2/7, 1
Suppose 4*k + y - 1 = -0*y, 0 = 5*k - y + 1. Suppose 15 = 5*w - k*w. Factor 0 + 0 - s**w + s**2.
-s**2*(s - 1)
Suppose -240/7 + 162/7*f + 72/7*f**2 + 6/7*f**3 = 0. Calculate f.
-8, -5, 1
Let -3*l + 6*l + 29*l**2 - 8*l**3 - 5*l**2 + 5*l**3 - 24 = 0. Calculate l.
-1, 1, 8
Suppose 5*t + a = 15 - 3, 4*t - 2 = 3*a. What is v in 0*v**3 - 4*v**2 + 3*v**2 + 8 + 7*v**t - v**3 - 12*v = 0?
2
Let m(o) be the first derivative of 1/5*o**5 - 12 + 1/6*o**6 - 1/4*o**4 + 0*o + 0*o**2 - 1/3*o**3. Factor m(n).
n**2*(n - 1)*(n + 1)**2
Let y(n) = -10*n**2 + 42*n + 34. Let l(d) = 11*d**2 - 43*d - 33. Let x(c) = -6*l(c) - 7*y(c). Factor x(m).
4*(m - 10)*(m + 1)
Find h such that 28*h + 196/5 - 79*h**2 + 2/5*h**5 + 40*h**3 - 7*h**4 = 0.
-1/2, 2, 7
Let u(n) = 3*n**3 - 2*n**2 + 5*n. Let z(r) = -17*r**3 + 11*r**2 - 26*r + 1. Let t(f) = 11*u(f) + 2*z(f). Factor t(x).
-(x - 2)*(x + 1)**2
Let m(b) be the third derivative of b**9/12096 - b**8/4032 - b**7/1008 + b**6/144 - 7*b**5/60 - 14*b**2. Let c(j) be the third derivative of m(j). Factor c(q).
5*(q - 1)**2*(q + 1)
Suppose z + 62 = 3*d - 28, -208 = 2*z + d. Let i = z - -205/2. Solve u + i*u**3 - 5/4*u**2 - 1/4 = 0.
1/2, 1
Let u(h) be the third derivative of -49*h**6/660 - 28*h**5/165 - 4*h**4/33 + 135*h**2. Find t such that u(t) = 0.
-4/7, 0
Let a(s) be the first derivative of 9 + 0*s + 0*s**2 + 1/18*s**4 + 2/27*s**3. Factor a(h).
2*h**2*(h + 1)/9
Let o(c) be the first derivative of -c**5/25 + c**4/5 + c**3/5 - 7*c**2/5 + 8*c/5 + 199. Solve o(u) = 0 for u.
-2, 1, 4
Let w(k) be the third derivative of 0*k + 0 + 1/6*k**4 - 2/3*k**3 + 9*k**2 + 1/30*k**5. Let a(s) = 3*s**2 + 5*s - 5. Let f(l) 