ven that -q*x + 2/3*x**2 + 2/3*x**3 - 8/3 = 0.
-2, -1, 2
Let l(p) be the first derivative of -p**4 + 28*p**3 - 198*p**2 - 484*p + 88. Factor l(c).
-4*(c - 11)**2*(c + 1)
Suppose -165/2*h**3 + 0 + 135/2*h**4 + 9*h + 27/2*h**5 - 15/2*h**2 = 0. Calculate h.
-6, -1/3, 0, 1/3, 1
Suppose 0 = 47*h - 33*h. Let a(n) be the second derivative of -3/40*n**5 + 1/40*n**6 + 0 - 4*n + 1/16*n**4 + 0*n**3 + h*n**2. Determine k so that a(k) = 0.
0, 1
Let f(n) = 121*n**4 + 50*n**3 - 191*n**2 - 48*n + 76. Let c(y) = 122*y**4 + 50*y**3 - 192*y**2 - 46*y + 77. Let m(o) = 4*c(o) - 3*f(o). Factor m(g).
5*(g + 1)**2*(5*g - 4)**2
Let g be -2 - 9/((-36)/(-40)). Let f = g - -14. Let -12 - 7*v**2 - 16*v + v**2 + f*v**2 = 0. What is v?
-3, -1
Let x = -1167 + 1170. Let f(o) be the second derivative of 0 - 1/6*o**4 + 9*o - o**2 + 2/3*o**x. Factor f(g).
-2*(g - 1)**2
Let 0 + 32/13*f - 16/13*f**3 + 0*f**4 + 0*f**2 + 2/13*f**5 = 0. What is f?
-2, 0, 2
Let x(t) be the second derivative of -4*t**7/189 + 14*t**6/135 + 16*t**5/45 - 22*t**4/9 + 4*t**3/3 + 6*t**2 - 5*t - 1. Solve x(p) = 0 for p.
-3, -1/2, 1, 3
Let w = 4451 - 4448. Suppose 0*p + 1/3*p**2 - 1/3*p**4 + 0 - 1/3*p**w + 1/3*p**5 = 0. What is p?
-1, 0, 1
Let y(p) be the third derivative of -p**5/150 - p**4/12 - 2*p**3/5 + 35*p**2. Suppose y(k) = 0. Calculate k.
-3, -2
Let f(d) = -d**3 - d**2 + 7*d - 5. Let n(l) = l**3 + l**2 - 8*l + 6. Let h(q) = -7*f(q) - 6*n(q). Factor h(g).
(g - 1)*(g + 1)**2
Let k(t) = -3*t**2 + 21*t - 12. Let w(f) = -3*f**2 + 21*f - 14. Let g(x) = 2*k(x) - 3*w(x). Find n, given that g(n) = 0.
1, 6
Let g(q) be the third derivative of q**8/23520 + q**7/2205 + q**6/630 + 7*q**4/12 + 17*q**2. Let p(x) be the second derivative of g(x). Factor p(o).
2*o*(o + 2)**2/7
Let g(n) be the second derivative of -n**7/3780 + 7*n**4/3 + 7*n. Let m(v) be the third derivative of g(v). Factor m(i).
-2*i**2/3
Let g(a) be the second derivative of a**6/120 + a**5/80 - a**4/8 - a**3/6 + a**2 + 2*a + 8. Find w such that g(w) = 0.
-2, 1, 2
Let t = -10 + 10. Suppose t = -3*u + 11 - 2. Factor -u*f**2 + 4*f - 8*f - 3*f**2.
-2*f*(3*f + 2)
Let r(n) be the third derivative of 0 - 1/15*n**5 - 17*n**2 + 0*n + 7/3*n**4 - 98/3*n**3. Solve r(s) = 0.
7
Let d(y) be the second derivative of -y**6/20 + 3*y**5/5 - 2*y**4 - y - 39. Factor d(z).
-3*z**2*(z - 4)**2/2
Let v = 2568 + -12818/5. Find p such that 0 - 4/5*p - 22/5*p**3 - 6*p**4 + 18/5*p**5 + v*p**2 = 0.
-1, 0, 1/3, 2
Let a(d) = -7*d**2 + 11*d + 24. Let g(r) = -6*r**2 + 11*r + 22. Let c(s) = 5*a(s) - 6*g(s). Factor c(t).
(t - 12)*(t + 1)
Let k(t) be the first derivative of t**4/6 + 2*t**3/9 - t**2/3 - 2*t/3 - 101. Factor k(x).
2*(x - 1)*(x + 1)**2/3
Let i(s) be the second derivative of -s**6/15 - 9*s**5/5 + s**4/2 + 56*s**3/3 + 36*s**2 + 598*s. Suppose i(f) = 0. Calculate f.
-18, -1, 2
Let q = 983 - 983. Factor q - 1/3*t + 1/3*t**2.
t*(t - 1)/3
Let u(o) = -2*o**4 + 6*o**3 + 3*o**2 - 16*o + 4. Let k(i) = -2*i**4 + 6*i**3 + 4*i**2 - 18*i + 4. Let c(b) = -5*k(b) + 6*u(b). Factor c(h).
-2*(h - 2)*(h - 1)**2*(h + 1)
Let h(k) = 8*k**4 + 53*k**3 + 30*k**2 + 37*k - 13. Let j(t) = 2*t**4 + 13*t**3 + 8*t**2 + 9*t - 3. Let a(q) = -6*h(q) + 26*j(q). Factor a(z).
4*z*(z + 1)**2*(z + 3)
Let p(m) be the first derivative of -5*m**6/6 - 18*m**5 + 25*m**4 + 30*m**3 - 95*m**2/2 + 436. Find v such that p(v) = 0.
-19, -1, 0, 1
Let m = 44 + -42. Let x(s) be the first derivative of 4/7*s**3 + 0*s + 0*s**m + 3/35*s**5 + 3 + 3/7*s**4. Factor x(o).
3*o**2*(o + 2)**2/7
Let c(p) be the second derivative of -1/40*p**6 + 0*p**2 + 1/10*p**5 + 0 + 2*p - 1/8*p**4 + 4/3*p**3. Let o(j) be the second derivative of c(j). Factor o(n).
-3*(n - 1)*(3*n - 1)
Let q(d) be the first derivative of -d**4/26 + 2*d**3/39 + 4*d**2/13 - 8*d/13 - 3. Factor q(f).
-2*(f - 2)*(f - 1)*(f + 2)/13
Let h(y) = y**3 + 40*y**2 + 75*y + 56. Let q be h(-38). Let w be q/(-88) - (-85)/68. Factor 0 + w*k**2 + 0*k.
2*k**2/11
Let x(b) be the first derivative of -5*b**4/4 - 10*b**3 - 45*b**2/2 + 66. Let x(t) = 0. What is t?
-3, 0
Let w(g) = -g**2 - 9*g. Let b be w(-8). Suppose -5*x + b + 7 = 0. Factor -9 - 14 - 2*z - x*z**2 + 23.
-z*(3*z + 2)
Let q = 11 - 12. Let s = 2 - q. Let -5*c**s + 3*c**2 + c**3 + c**2 = 0. What is c?
0, 1
Let d(n) = -2*n**3 + 27*n**2 - 25*n - 6. Let k(w) = -2*w**3 + 28*w**2 - 26*w - 4. Let v(c) = -2*d(c) + 3*k(c). Factor v(g).
-2*g*(g - 14)*(g - 1)
Let m = 313/4070 - 3/74. Let k(v) be the first derivative of 12 + 2/33*v**3 - m*v**5 + 0*v + 1/22*v**4 - 1/11*v**2. Factor k(s).
-2*s*(s - 1)**2*(s + 1)/11
Suppose 2*a - 7*q = -2*a, 0 = -a + 3*q. Find c such that -4/3*c + 2/3*c**2 + a = 0.
0, 2
Let s = 41/36 - 8/9. Let z = -5/28 + 3/7. Determine w so that s + 0*w**3 + 0*w + z*w**4 - 1/2*w**2 = 0.
-1, 1
Factor 23/4*t + 0 - 1/4*t**2.
-t*(t - 23)/4
Suppose -766*m + 4 = -764*m. Factor 0 + 3/5*u**m - 6/5*u.
3*u*(u - 2)/5
Let d(v) be the third derivative of v**7/70 + 21*v**6/40 + 99*v**5/20 - 121*v**4/8 - v**2 - 42*v. Factor d(p).
3*p*(p - 1)*(p + 11)**2
Let c(w) be the first derivative of 1/18*w**4 + 34 - 2/3*w - 5/9*w**2 - 2/27*w**3. Factor c(r).
2*(r - 3)*(r + 1)**2/9
Let t = 8033/8 - 1004. Let m(b) be the first derivative of -1/16*b**4 + 2 + 1/12*b**3 + t*b**2 - 1/4*b. What is s in m(s) = 0?
-1, 1
Let x(p) be the first derivative of 7*p**4/16 - p**3/6 + 44. Factor x(v).
v**2*(7*v - 2)/4
Let q(u) be the third derivative of -1/1176*u**8 + 0*u**4 + 0*u - 1/105*u**5 - 17*u**2 + 0*u**7 + 0*u**3 + 0 + 1/140*u**6. Factor q(s).
-2*s**2*(s - 1)**2*(s + 2)/7
Let h(x) = 13*x**4 + 41*x**3 + 12*x**2 - 14*x - 2. Let t(g) = 38*g**4 + 124*g**3 + 36*g**2 - 43*g - 7. Let k(z) = 7*h(z) - 2*t(z). Factor k(i).
3*i*(i + 1)*(i + 2)*(5*i - 2)
Find k, given that 170*k + 2 - 176*k - 2*k**4 - 2*k**2 + 2 + 6*k**3 = 0.
-1, 1, 2
Let q be ((-6)/(-9))/(6/36). Find j such that 63*j**5 + 4*j**2 - 3*j + 9*j**q - 3*j**3 - 13*j**2 - 57*j**5 = 0.
-1, -1/2, 0, 1
Let i = -3774 - -3774. Let -3/8 + 3/8*m**4 + i*m**2 + 3/4*m**3 - 3/4*m = 0. What is m?
-1, 1
Let l be 15*(3 + 146/(-50)). Let d = 1314/5 + -261. Let 3/5*f**2 + l + d*f = 0. What is f?
-2, -1
Factor 12*b - 13/4*b**2 + 1/4*b**3 - 9.
(b - 6)**2*(b - 1)/4
Let p(w) be the third derivative of -w**6/2880 + w**5/160 - 3*w**4/64 + 10*w**3/3 + 13*w**2. Let f(v) be the first derivative of p(v). Factor f(g).
-(g - 3)**2/8
Let s be 3/1*(1 - 0). Let g(n) = 2*n**3 - 27*n**2 + 13*n + 3. Let r be g(13). Determine m, given that 8*m**3 - 2*m**s - 8*m - 4*m**3 + 2*m**4 + 4*m**r = 0.
-2, 0, 1
Let o(c) be the first derivative of c**3/12 + c**2/4 + c/4 - 18. Factor o(a).
(a + 1)**2/4
Let h(u) = u**3 + 2*u**2 - 7*u. Let x be h(3). Let j be ((-108)/(-16) - 7)/((-2)/x). Let 0 - 4/5*t + 2*t**2 + 2/5*t**4 - 8/5*t**j = 0. Calculate t.
0, 1, 2
Suppose -7*o + 189 = -0*o. Solve -81 - 8*a - a + o*a - a**2 = 0.
9
Let w(r) = r**3 - 2*r**4 + 2*r**2 + r**4 - r**2 + 3*r**3. Let l(n) = 3*n**4 - 9*n**3 - 2*n**2. Let o(s) = 2*l(s) + 5*w(s). Factor o(a).
a**2*(a + 1)**2
Solve 40/3*j + 16 + 4/3*j**2 - 2/3*j**3 = 0.
-2, 6
Let h(w) be the first derivative of 1/2*w**2 - 1/4*w**4 - w + 2 + 1/3*w**3. Determine z, given that h(z) = 0.
-1, 1
Let q(v) be the first derivative of 3 - 8/3*v**3 + 1/15*v**5 + 1/6*v**4 + 0*v**2 + 1/90*v**6 + 0*v. Let h(d) be the third derivative of q(d). Factor h(w).
4*(w + 1)**2
Suppose -28*i = -22*i + 126. Let u be 3/(-7) - 15/i. Solve 2/7*o + u*o**2 + 0 = 0.
-1, 0
Let g = -5 - -17. Let r = g - 3. Factor 13 - f**5 - 4 + f**4 - r.
-f**4*(f - 1)
Let k(w) = w**3 - 2*w**2 - 2*w - 1. Let v be k(3). Let d be (-3 + 12 + 3)/2. Factor 2*c + 6*c**2 - v*c**3 + c - d - c**3.
-3*(c - 2)*(c - 1)*(c + 1)
Factor -10*i - 3*i - 144*i**4 - 8*i**3 + 45*i + 16*i**2 + 140*i**4.
-4*i*(i - 2)*(i + 2)**2
Let f(x) be the first derivative of x**3/6 - 5*x**2/4 - 3*x - 339. Let f(n) = 0. What is n?
-1, 6
Suppose 6 = i + 2*i. Factor -g**2 - i*g + g - g**2 + 3*g**2.
g*(g - 1)
Let l(b) be the first derivative of b**3 + 102*b**2 + 3468*b - 212. Let l(s) = 0. What is s?
-34
Let r(q) be the third derivative of -1/6*q**3 - 1/30*q**6 - 5/24*q**4 + 0 - 2/15*q**5 + 0*q + 4*q**2. Factor r(a).
-(a + 1)*(2*a + 1)**2
Let c = 659/4 - 1961/12. Factor 14/9*m - 2/3*m**2 + c.
-2*(m - 3)*(3*m + 2)/9
Let s(p) be the second derivative of -p**6/160 - p**5/10 - 19*p**2 - p. Let g(y) be t