7/5*o**5 + 23*o - 136/15*o**6. Determine a, given that i(a) = 0.
-1, 2/15, 1/2, 1
Let c = 211 - 208. Suppose -3*u - 5*r = -0*r - 19, c*r = 4*u - 6. Determine i so that -8*i + 4/3*i**2 + 4/3 + 64/3*i**4 + 32*i**u = 0.
-1, 1/4
Factor 2/9*t**4 + 0 + 26/9*t**3 + 0*t + 8/3*t**2.
2*t**2*(t + 1)*(t + 12)/9
Suppose 0 = 4*p - 8, -4*p = -4*w - 10 - 10. Let i(v) = -v**3 - 3*v**2 + 2. Let r be i(w). Let -1/5*a**3 + 0 + 0*a + 1/5*a**r - 2/5*a**4 = 0. Calculate a.
-1, 0, 1/2
Factor -8*n**3 - 18*n**4 - 96*n**2 + n**3 + 21*n**4 - 108*n - 8*n**3.
3*n*(n - 9)*(n + 2)**2
Let u = -2399 - -2404. Let v(j) be the third derivative of -3/70*j**6 + 2/21*j**4 - 12*j**2 - 16/105*j**u + 0 + 0*j**3 + 0*j. Factor v(c).
-4*c*(c + 2)*(9*c - 2)/7
Let u(b) = 3*b**4 + 30*b**3 - b**2 - 32*b. Let g(w) = w**2 - w. Let k(x) = -2*g(x) + u(x). Let k(h) = 0. What is h?
-10, -1, 0, 1
Factor 45*o**4 + 65*o**2 + 16*o**2 + 5 + 330*o**3 - o**2 + 30 - 170*o.
5*(o + 1)*(o + 7)*(3*o - 1)**2
Let i = -1992 + 1995. Factor 0 - 2/5*h**i + 8/5*h**2 - 8/5*h.
-2*h*(h - 2)**2/5
Let d(q) be the first derivative of 5*q**7/42 + q**6/3 + q**5/4 - 10*q + 3. Let w(s) be the first derivative of d(s). Factor w(u).
5*u**3*(u + 1)**2
Let m(y) = y**2 - 4*y - 11. Let i be m(5). Let p(x) = -x**3 - 5*x**2 + 4*x - 8. Let c be p(i). Factor 24 - 24 - u**c.
-u**4
Let f(l) = -l**2 - 1. Suppose 9 = 3*j, -2*o - 32 = 3*j - 7*j. Let y(s) be the second derivative of s**4/2 + 5*s**2 - s. Let h(t) = o*f(t) - y(t). Factor h(i).
4*i**2
Let t be 9102/(-4305) + (-12)/(-5). Factor -2/7*m**2 - t*m**5 + 0*m - 6/7*m**3 - 6/7*m**4 + 0.
-2*m**2*(m + 1)**3/7
Let f = 120 + -95. Let i(t) = -35*t**2 - 335*t - 275. Let r(p) = -3*p**2 - 28*p - 23. Let l(q) = f*r(q) - 2*i(q). Find n such that l(n) = 0.
-5, -1
Let c(o) be the third derivative of 2*o**7/315 + o**6/15 - o**5/15 - 10*o**4/9 - 8*o**3/3 + 122*o**2. Factor c(k).
4*(k - 2)*(k + 1)**2*(k + 6)/3
Let a = -45321/7252 + -1/1813. Let z = 27/4 + a. Factor 0 - z*w**2 + 1/4*w + 1/4*w**3.
w*(w - 1)**2/4
Let s(a) be the second derivative of -a**6/20 - 3*a**5/40 + a**4/8 + a**3/4 - 11*a. Find k such that s(k) = 0.
-1, 0, 1
Let d(j) = j**5 - 3*j**4 + 2*j**3 - 2*j**2 - 2*j. Let v(a) = a**4 - a**3 + a**2 + a. Let k(g) = -d(g) - 2*v(g). Determine z, given that k(z) = 0.
0, 1
Let a = -74 + 75. Let o(v) be the first derivative of -7/12*v**4 - 1/3*v**2 - a + 0*v + v**3. Suppose o(m) = 0. What is m?
0, 2/7, 1
Let t(z) be the second derivative of 1/4*z**3 - 9/8*z**2 + 0 + 1/16*z**4 + 10*z. Determine v, given that t(v) = 0.
-3, 1
Let x be (64944/(-6560))/(22/(-10) + 1). Find j, given that 1/4*j**5 + 0 + x*j**3 - 11/4*j**4 - 5/4*j**2 - 25/2*j = 0.
-1, 0, 2, 5
Suppose 0 = -5*l + 124*c - 127*c + 6, 15 = l - 4*c. Determine m so that 0 - 3*m**2 - 3/2*m**l + 9/2*m = 0.
-3, 0, 1
Let w(f) be the first derivative of 0*f**2 + 1 + 0*f - 1/12*f**6 + 1/3*f**3 + 3/8*f**4 + 0*f**5. What is j in w(j) = 0?
-1, 0, 2
Let d(u) be the second derivative of -5*u**4/24 - 35*u**3/6 + 2*u - 15. Solve d(b) = 0.
-14, 0
Let c = 595 + -588. Let q(y) be the second derivative of -1/30*y**4 - 2/5*y**2 + 0 - 1/5*y**3 - c*y. Factor q(o).
-2*(o + 1)*(o + 2)/5
Let r(p) = -11*p**5 + 10*p**4 + p**3 + 6*p - 6. Let o(f) = -120*f**5 + 110*f**4 + 10*f**3 + 65*f - 65. Let a = 20 + 45. Let d(w) = a*r(w) - 6*o(w). Factor d(t).
5*t**3*(t - 1)**2
Find w such that 4*w**5 + 192 - w**5 - 35*w**3 + 100*w + 516*w**2 + 42*w**4 + 254*w**3 + 428*w = 0.
-4, -1
Let f(r) be the first derivative of 5*r**4/4 + 35*r**3 - 10*r**2 - 420*r + 302. Solve f(m) = 0.
-21, -2, 2
Let s(o) = -2*o. Let a be s(-1). Suppose 2*r - 4*t - 30 = 0, -4*t - 23 = -r - 0*r. Determine f so that 9*f**2 - a + 71*f + 1 - 56*f + r = 0.
-1, -2/3
Factor 0 + 0*y - 3/7*y**5 + 0*y**2 - 6/7*y**3 - 9/7*y**4.
-3*y**3*(y + 1)*(y + 2)/7
Let j(h) = 4*h**3 + 44*h**2 - 25*h - 21. Let u(z) = 2*z**2 - z + 1. Let l(w) = -j(w) + u(w). Factor l(m).
-2*(m - 1)*(m + 11)*(2*m + 1)
Let r = 47539/3 - 15845. Let -r + 6*l**2 + 14/3*l = 0. What is l?
-1, 2/9
Let w(c) be the second derivative of c**3/2 - 12*c**2 + 13*c. Let q be w(8). Factor 27/4*h**3 + q + 3/4*h**4 + 81/4*h**2 + 81/4*h.
3*h*(h + 3)**3/4
Suppose 2*y + 2*x - 4*x = -232, -y = 3*x + 128. Let i = y + 359/3. Factor -2*j**2 + 2*j - 2/3 + i*j**3.
2*(j - 1)**3/3
Let w(x) = 79*x**2 + 0*x - 4 - 2*x - 73*x**2. Let u be w(-1). Solve 0 + 2/3*p**4 - 16/3*p - u*p**3 + 8*p**2 = 0.
0, 2
Let w(u) be the second derivative of u**4/108 - 121*u**3/54 + 27*u. Factor w(z).
z*(z - 121)/9
Suppose 306 + 0 + 318 = 208*t. Let -t + 15/4*m - 3/4*m**2 = 0. What is m?
1, 4
Let n(d) be the third derivative of d**5/390 - d**4/78 - 40*d**3/13 - 528*d**2. Solve n(a) = 0.
-10, 12
Suppose 4*q = -5*r + 884, -880 = -4*q - 0*q - 4*r. Suppose -q*t**4 + 54*t**5 - 54*t**3 - 32 + 222*t**2 + 99*t**2 - 97*t**2 - 24*t = 0. Calculate t.
-1, -1/3, 2/3, 4
Let q(l) be the second derivative of -2/75*l**5 - 1/15*l**2 - 4/45*l**3 - 1/225*l**6 - 21*l - 1/15*l**4 + 0. Let q(c) = 0. Calculate c.
-1
Let s = -3153 - -3156. Solve -198/19*h - 2/19*h**s + 242/19 - 42/19*h**2 = 0.
-11, 1
Let z(y) be the first derivative of y**6/48 - 3*y**5/40 - 3*y**4/32 + 11*y**3/24 - 3*y**2/8 + 29. Determine c, given that z(c) = 0.
-2, 0, 1, 3
Suppose 5 - 2 = 3*w. Suppose w = 4*d - 7. Factor -6/11*c**3 + 6/11*c**d + 2/11*c**4 - 2/11*c + 0.
2*c*(c - 1)**3/11
Let l(v) = v**3 - 3*v**2 - 82*v + 362. Let q be l(5). Factor -21/5*o**q + 6/5*o**3 + 6/5*o + 9/5.
3*(o - 3)*(o - 1)*(2*o + 1)/5
Let n(j) = -j**2 + 1. Let q(h) = -5*h**2 - 19*h - 11. Let s(t) = n(t) - q(t). Find b such that s(b) = 0.
-4, -3/4
Let s(r) be the third derivative of -r**7/42 + r**6/12 - 5*r**4/12 + 5*r**3/6 + 16*r**2. Factor s(x).
-5*(x - 1)**3*(x + 1)
Find l such that -3/4*l**4 + 69/8*l - 3/8*l**5 - 12*l**2 + 27/4*l**3 - 9/4 = 0.
-6, 1
Factor 76*z**3 - 96*z**3 - 77*z**2 - 19*z**2 - 60*z + 16.
-4*(z + 1)*(z + 4)*(5*z - 1)
Solve -24/19 - 2/19*d**2 + 2/19*d**5 + 40/19*d - 18/19*d**3 + 2/19*d**4 = 0.
-3, -2, 1, 2
Suppose 8*p - 97 - 15 = 0. Determine z so that -9*z**2 - 3*z**5 + 0*z**3 - 9*z**4 + 3*z**3 - p*z**2 + 32*z**2 = 0.
-3, -1, 0, 1
Let p = 5 - -2. Let l(v) be the second derivative of 2/51*v**4 + 0*v**3 - 3/119*v**p + 0*v**2 - 1/85*v**6 + 0 + 4/85*v**5 - 2*v. Find k, given that l(k) = 0.
-2/3, 0, 1
Let s be 84/(2 - -2) - -1. Let h(z) = -s*z**2 + 11*z**2 - 18*z - 25*z**2 - 4 - 10*z**3. Let o(f) = f**3 + f. Let j(l) = h(l) - 6*o(l). Factor j(b).
-4*(b + 1)**2*(4*b + 1)
Let w(l) be the second derivative of -l**6/165 + 2*l**4/11 - 16*l**3/33 + 3*l - 21. What is h in w(h) = 0?
-4, 0, 2
Suppose -39*b + 21 = -57. Factor 2/5*l**b + 0 - 4/5*l.
2*l*(l - 2)/5
Suppose 49 - 34 = 5*j. Let w(k) be the second derivative of 0*k**2 + 1/24*k**4 + 0 + 1/12*k**j - 8*k. Factor w(c).
c*(c + 1)/2
Let k(x) be the third derivative of 15*x**2 + 0 + 0*x + 1/180*x**5 - 1/12*x**4 + 4/9*x**3. Factor k(s).
(s - 4)*(s - 2)/3
Determine u, given that 96/5*u**3 + 1056*u + 1098/5*u**2 + 1815 + 3/5*u**4 = 0.
-11, -5
Solve 2/13*y**3 + 0*y + 88/13*y**2 + 0 = 0.
-44, 0
Let v(s) be the third derivative of -s**6/60 - 4*s**5/15 - 5*s**4/4 + 26*s**2. Factor v(l).
-2*l*(l + 3)*(l + 5)
Let z(g) be the second derivative of -g**5/4 - 7*g**4/3 - 13*g**3/6 + 5*g**2 - 3*g - 8. Suppose z(u) = 0. Calculate u.
-5, -1, 2/5
Let h(c) be the second derivative of c**8/672 + c**7/210 + c**6/240 - c**2 + 16*c. Let f(q) be the first derivative of h(q). Suppose f(p) = 0. What is p?
-1, 0
Let d be 183/(-4148)*32/(-6). Factor -6/17*o + d*o**2 - 4/17.
2*(o - 2)*(2*o + 1)/17
Let n(a) be the second derivative of a**7/210 + 7*a**6/50 + 99*a**5/100 - 121*a**4/60 + 131*a. Let n(l) = 0. Calculate l.
-11, 0, 1
Let x be -3*(-51)/9 + -1. Find v, given that -x*v**4 - 14*v**3 + 9*v**3 + 10*v**5 - 3*v**3 = 0.
-2/5, 0, 2
Factor 26/3*n**2 + 7/3*n**3 + 13/3*n - 2.
(n + 1)*(n + 3)*(7*n - 2)/3
Let a = 18 - 12. Suppose 2*x = a*m - m + 30, 4*x - 32 = 3*m. Find r, given that -3*r**3 + x*r**2 + 2*r**2 - 3*r - r**2 = 0.
0, 1
Let w(f) be the second derivative of -f**7/18900 - 7*f**4/6 + 20*f. Let a(j) be the third derivative of w(j). Factor a(b).
-2*b**2/15
Suppose j + 28 = 5*j + r, 0 = 4*j + 4*r - 16. Suppose -h + 2*o + 4 = 0, -9*h + 6 = -8*h - 4*o. Suppose -j*w + 10*w - 3*w**h + 5*w**2 = 0. What is w?
-1, 0
Suppose -3*j = 2*w + 13 + 2, w + 3 = -j. 