 + 7 + 9. Let i(h) = -4*h**3 - 5*h**2 - 5*h + 2. Let a(s) = 3*i(s) - 2*p(s). Find r, given that a(r) = 0.
-3/2, -1, 0
Let a(z) = -4*z**4 - 8*z**3 + 16*z**2 + 5*z - 63. Let q(r) = 3*r**4 + 6*r**3 - 17*r**2 - 6*r + 62. Let s(h) = 2*a(h) + 3*q(h). What is y in s(y) = 0?
-5, -2, 2, 3
Let w(g) be the third derivative of g**8/6720 + g**7/840 + g**6/360 - 5*g**4/12 - 23*g**2. Let o(x) be the second derivative of w(x). Let o(z) = 0. What is z?
-2, -1, 0
Let j(w) be the second derivative of -1/21*w**7 + 0*w**2 + 0*w**3 - 7/5*w**5 + 0 - 2/3*w**4 + 31/60*w**6 + 39*w. Factor j(z).
-z**2*(z - 4)**2*(4*z + 1)/2
Let d(l) be the second derivative of l**7/945 + 2*l**6/135 + 13*l**5/270 + l**4/18 - 25*l**2/2 - 25*l. Let s(b) be the first derivative of d(b). Factor s(j).
2*j*(j + 1)**2*(j + 6)/9
Let s(x) = -5*x**2 + x + 3. Let f(t) = 9*t**2 - 3*t - 5. Let a(v) = -6*f(v) - 10*s(v). Factor a(p).
-4*p*(p - 2)
Let v(r) be the second derivative of r**6/90 + 19*r**5/60 + 16*r**4/9 + 10*r**3/3 - 312*r. Solve v(x) = 0 for x.
-15, -2, 0
Let z(q) = q**2 + q - 5. Let w be z(4). Let h = 17 - w. Solve -2*t**2 + 0*t**2 - t**h - 18*t - 27 = 0.
-3
Factor -8/5 + 2/15*c + 2/15*c**2.
2*(c - 3)*(c + 4)/15
Suppose 3*s - 4*z = 52, 0 = -3*s + s + z + 38. Let c be -15*2/4*-2. Suppose -35 + c + 100*x**3 - 16 - 84*x + s*x**2 = 0. What is x?
-3/5, 1
Factor -64/7 - 1/7*x**2 - 16/7*x.
-(x + 8)**2/7
Let d(r) = -3*r**3 - 3*r. Let q(b) = -b**3 + b**2 - b. Let f(m) = -3*d(m) + 6*q(m). Factor f(g).
3*g*(g + 1)**2
Let g be 6/48*-2 + 17/4. Factor -2*h**3 + g - 8 + 4*h + 4*h**2 - 2*h**3.
-4*(h - 1)**2*(h + 1)
Let n = -5 - -9. Suppose -4*h + r = n, -6*r + r + 20 = 2*h. Determine l, given that 9 + 0*l + 15*l + 3*l**2 + h*l**3 - 2*l**3 - l**3 = 0.
-1, 3
Suppose -48 + 944*y**3 - 23*y**2 - 968*y**3 + 3*y**4 + 24*y + 68*y**2 = 0. Calculate y.
-1, 1, 4
Factor 72/11*w + 5/11*w**3 - 36/11 + 43/11*w**2.
(w + 3)*(w + 6)*(5*w - 2)/11
Let r = 27183 - 135913/5. Factor -4/5*g**2 + 2/5*g + 2/5*g**4 - 4/5*g**3 + 2/5 + r*g**5.
2*(g - 1)**2*(g + 1)**3/5
Let d(h) be the first derivative of h**6/120 - h**5/40 + h**3/12 - h**2/8 + 4*h + 4. Let w(g) be the first derivative of d(g). Factor w(i).
(i - 1)**3*(i + 1)/4
Factor 1/2*k**3 + 0 - 3*k**2 + 5/2*k.
k*(k - 5)*(k - 1)/2
Let l(g) = g**3 - 4*g**2 - 9*g - 15. Let z be l(6). Let n(y) be the second derivative of 0 + y + 4*y**z - 9/2*y**2 - 5/4*y**4. Solve n(v) = 0 for v.
3/5, 1
Let k(p) be the third derivative of -p**8/504 + 2*p**7/315 + 11*p**6/180 - 2*p**5/15 - p**4 + 181*p**2 - 2*p. Suppose k(g) = 0. Calculate g.
-2, 0, 3
Let z(p) be the first derivative of p**3/12 + 17*p**2/4 + 289*p/4 + 380. Factor z(q).
(q + 17)**2/4
Let n(w) = 2*w**2 + 30*w + 96. Suppose -15*r + 53 = 143. Let i(f) = -2*f**2 - 31*f - 95. Let m(b) = r*n(b) - 4*i(b). Solve m(u) = 0 for u.
-7
Let a(m) be the second derivative of -1/15*m**6 + 15*m - 1/12*m**3 + 0 - 1/20*m**5 + 1/28*m**7 + 0*m**2 + 1/6*m**4. Determine t so that a(t) = 0.
-1, 0, 1/3, 1
Let k(a) = -a + 5. Let c be k(4). Let p be (-1)/(0 - c/2). Find z, given that 0*z + 2*z**p + z + z = 0.
-1, 0
Let h(y) = -14*y**3 + 10*y**2 + 46*y - 170. Let l(m) = -5*m**3 + 3*m**2 + 15*m - 57. Let s(p) = 3*h(p) - 8*l(p). Solve s(a) = 0.
-3, 3
Let s(y) = 3*y**2 - 26*y - 118. Let m be s(12). Factor 8/5 + 0*u - 2/5*u**m.
-2*(u - 2)*(u + 2)/5
Let x(w) be the third derivative of 5*w**8/336 + 5*w**7/42 + w**6/4 - w**5/6 - 35*w**4/24 - 5*w**3/2 + 52*w**2. Factor x(t).
5*(t - 1)*(t + 1)**3*(t + 3)
Factor -33/7*a + 12 + 3/7*a**2.
3*(a - 7)*(a - 4)/7
Let g(i) be the third derivative of -i**7/630 + i**6/180 + 7*i**4/24 + 10*i**2. Let p(q) be the second derivative of g(q). Let p(n) = 0. What is n?
0, 1
Suppose -5*m = -k - 6*m + 1, -3*k = 5*m + 3. Factor 5*r**5 + 101*r**k - r**5 + 6*r**3 - 85*r**4 + 6*r**3.
4*r**3*(r + 1)*(r + 3)
Let f(d) be the third derivative of -d**6/24 + 5*d**5 - 195*d**4/8 + 145*d**3/3 - 5*d**2 + 5. Factor f(q).
-5*(q - 58)*(q - 1)**2
Let m(q) be the second derivative of 14*q + 9/16*q**4 + 0 - 3/8*q**3 - 3/8*q**2 - 3/16*q**5. What is r in m(r) = 0?
-1/5, 1
Let u(z) = z**2 + 6*z + 34. Let s(g) = -g**2 - g - 1. Let t(w) = -10*s(w) - 5*u(w). What is k in t(k) = 0?
-4, 8
Suppose 3*h = 2*h - 5, -5*t - 5 = 4*h. Suppose 0 = -15*q + 69 - 39. Determine g, given that g**q + 1/3*g**t + g + 1/3 = 0.
-1
Let k(x) be the third derivative of -1/20*x**5 - 1/24*x**4 + 0*x + 0*x**3 - 1/210*x**7 - x**2 - 1/40*x**6 + 0. Factor k(u).
-u*(u + 1)**3
Let m(a) = -a**2 + a**5 + 0 + 1 - a + 400*a**4 - 401*a**4. Let q(p) = 10*p**5 - 24*p**4 + 16*p**2 - 10*p + 4. Let g(h) = 4*m(h) - q(h). Solve g(b) = 0.
-1, 0, 1/3, 1, 3
Let r be (-72)/(-16)*((-40)/9)/(-5). Let 9/2*i**r - 21/2*i**2 + 6 - 12*i - 27/2*i**5 + 51/2*i**3 = 0. What is i?
-1, 2/3, 1
Suppose 0 = -q + 2*n - 12, -41 = -3*q + 6*n - 11*n. Factor 2/7*m**q - 6/7 + 4/7*m.
2*(m - 1)*(m + 3)/7
Let h(m) be the third derivative of 0 - 1/20*m**5 + 0*m**3 + 2*m**2 + 3/8*m**4 + 0*m. Let h(b) = 0. What is b?
0, 3
Let a(b) be the second derivative of 0 + 98*b**2 - 4*b + 1/3*b**4 + 28/3*b**3. Factor a(s).
4*(s + 7)**2
Let r = 5 - 6. Let t(w) = w**4 + w**3 + w + 1. Let g(z) = -3*z**3 + z**2 - z - 1. Let s(m) = r*g(m) - t(m). Factor s(n).
-n**2*(n - 1)**2
Let s = -13819/22 + 1257/2. Solve -s*x - 18/11*x**3 + 0 + 2*x**2 = 0 for x.
0, 2/9, 1
Let v(h) be the second derivative of -h**4/4 + 10*h**3/3 - h. Let c(q) = q**2 - 7*q. Let s = -387 - -381. Let u(g) = s*v(g) - 17*c(g). Factor u(b).
b*(b - 1)
Find j such that 17*j**2 + 10*j + 5*j + 2*j**2 - 24*j**2 = 0.
0, 3
Let d(j) = -5*j - 31. Let r be d(-7). Let z(p) be the third derivative of -2*p**2 + 0*p - 1/300*p**5 + 0*p**3 + 1/60*p**r + 0. Factor z(c).
-c*(c - 2)/5
Let s(l) = -l + 5. Let a be s(12). Let f = a + 17. Solve -q**2 + 0*q**2 + 3*q**2 + f - 6 - 6*q = 0.
1, 2
Let b(u) be the third derivative of u**6/12 + u**5/30 + u**3 + 11*u**2. Let x(q) = -11*q**3 - q**2 - 7. Let l(h) = 7*b(h) + 6*x(h). Factor l(i).
4*i**2*(i + 2)
Suppose -103*l = -98*l - 5. Let o(x) be the first derivative of 2/5*x**3 + l - 2/5*x**2 - 1/10*x**4 + 0*x. Let o(n) = 0. What is n?
0, 1, 2
Let z be 1/((-21)/(-14) - 1). Let u(m) be the second derivative of 1/50*m**5 + 5*m - 1/15*m**3 + 0*m**z + 0 + 0*m**4. Let u(l) = 0. What is l?
-1, 0, 1
Let t be (1 - 732/36) + 22. Find r such that -8/3 + 16/3*r**2 + 4/3*r**5 + 4/3*r - t*r**4 - 8/3*r**3 = 0.
-1, 1, 2
Factor 63*b + 0*b**5 - 3*b**4 - 8*b**4 + b**5 + 18*b + 46*b**3 - 42*b**2 - 48*b**2 - 27.
(b - 3)**3*(b - 1)**2
Let p(c) = 3*c**3 + c**2 - c + 1. Let g(y) = 6*y**3 - 84*y**2 - 675*y - 585. Let z(a) = -g(a) + 3*p(a). Factor z(o).
3*(o + 1)*(o + 14)**2
Let 14*p**4 + 18*p**3 - 54*p**2 + 44*p**5 - 95*p - 13*p - 42*p**5 = 0. Calculate p.
-3, 0, 2
Suppose -290 - 194 = 4*o. Let w = 124 + o. Let -1/2*u**2 + 1/4*u**4 + 0 + 1/4*u**w + 0*u = 0. Calculate u.
-2, 0, 1
Factor 2/17*q**4 + 0*q**2 + 0*q + 0 - 14/17*q**3.
2*q**3*(q - 7)/17
Determine m so that 36/5*m - 4/5*m**2 + 88/5 = 0.
-2, 11
Let u(g) be the third derivative of -g**5/120 - 13*g**4/24 + 185*g**2 - 1. Factor u(h).
-h*(h + 26)/2
Factor 6/7 - 46/7*n - 16/7*n**2.
-2*(n + 3)*(8*n - 1)/7
Let d(g) be the third derivative of 1/18*g**5 + 0 + 4/9*g**3 + 1/3*g**4 + 0*g + 23*g**2 - 1/35*g**7 - 1/15*g**6. Determine n so that d(n) = 0.
-1, -2/3, 1
Suppose -2*o = o - 3*q + 30, o + 18 = -3*q. Let n = o - -13. Determine j, given that -20*j - 6 + n - 4*j**3 - 6 + 3 - 16*j**2 = 0.
-2, -1
Factor -581*f - 10105 - 2*f**2 + 214*f - 25273 - 165*f.
-2*(f + 133)**2
Let o(l) = -l**4 - l**3 + l. Let f(h) = h**5 + h**4 + 3*h**3 - 2*h**2 - 4*h - 4. Let z(d) = -4*f(d) + 20*o(d). Factor z(t).
-4*(t - 1)*(t + 1)**3*(t + 4)
Let x(v) be the second derivative of -v**4/3 - 124*v**3/3 - 1922*v**2 - 2*v + 30. Find s such that x(s) = 0.
-31
Factor -312*q - 3/4*q**2 - 32448.
-3*(q + 208)**2/4
Factor -2*m**3 - 8/3*m + 1/3 + 13/3*m**2.
-(m - 1)**2*(6*m - 1)/3
Factor 14/17*q - 2/17*q**2 - 20/17.
-2*(q - 5)*(q - 2)/17
Let z(q) = q + 28. Let v be z(-22). Let n be 6/v + (6/2)/1. Determine s, given that 1/3*s**2 + 0 - 2*s**3 + 3*s**n + 0*s = 0.
0, 1/3
Let l(o) be the first derivative of 23 + 8/5*o + 2/25*o**5 - 3/5*o**4 - 12/5*o**2 + 26/15*o**3. Factor l(x).
2*(x - 2)**2*(x - 1)**2/5
Let t(h) be the first derivative of h**5/420 + h**4/24 + 5*h**3/21 - 11*h**2 - 14