 h**4 + 4*h**3 - 7*h**2 - 5*h - 5. Let l(g) = 4*c(g) + 5*x(g). Let l(d) = 0. Calculate d.
-1, 0, 2
Factor -350*b - 6 + 169*b + 172*b - 3*b**2.
-3*(b + 1)*(b + 2)
Let t(o) = -4*o**2 - 10*o + 24. Let q be t(-4). Factor -1/4*g - 5/4*g**2 + q.
-g*(5*g + 1)/4
Let s(u) be the third derivative of -u**8/1176 + 8*u**7/245 + 5*u**6/84 + 203*u**2. Factor s(c).
-2*c**3*(c - 25)*(c + 1)/7
Let w = -1391 + 1395. Let l(z) be the second derivative of -11*z + 0 + 1/24*z**w + 0*z**3 + 0*z**2. Suppose l(p) = 0. What is p?
0
Let t(o) = 2*o + 29. Let j(u) = 3*u + 44. Let x(q) = 5*j(q) - 7*t(q). Let n be x(-13). What is f in -1/2*f**3 + 0 - 3*f**n + 0*f + 0*f**2 - 9/2*f**5 = 0?
-1/3, 0
Let i(f) be the first derivative of f**3/15 - 4*f/5 + 131. Factor i(d).
(d - 2)*(d + 2)/5
Suppose -10 = 5*b + 5*z, -z - 2*z - 6 = -5*b. Suppose -3*d - 11*u + 15 = -9*u, 0 = -4*d + 3*u + 3. Factor 0*k - 1/4*k**d - 1/4*k**4 + b + 0*k**2.
-k**3*(k + 1)/4
Let m(n) be the second derivative of 0 + 19*n + 1/18*n**3 + 0*n**2 - 1/60*n**5 + 0*n**4. Factor m(x).
-x*(x - 1)*(x + 1)/3
Let w be -10 - -16 - 2*2. Suppose -2*h = -0*h - 4. Factor h*c - 5*c**2 + 1 - c**w + 3*c**2.
-(c - 1)*(3*c + 1)
Let m = 5 - 9. Let b be (20/(-16))/(1/m). Solve -b*c**4 + 8*c - c**4 + 2*c**4 - 8*c**3 + 4 = 0 for c.
-1, 1
Suppose 0 = -2598*q + 2601*q - 9. Factor 0 - 4/3*c**q - 88/3*c**2 - 484/3*c.
-4*c*(c + 11)**2/3
Let p = 6 - 3. Factor 52*n**3 + p*n - 13*n - 22*n**2 - 13*n**2 - 72*n**3 + 5.
-5*(n + 1)**2*(4*n - 1)
Let x(w) be the third derivative of -44/735*w**7 - 2/21*w**4 - 4/21*w**5 - 11/70*w**6 - 24*w**2 + 0*w**3 - 5/588*w**8 + 0 + 0*w. Suppose x(r) = 0. Calculate r.
-2, -1, -2/5, 0
Let c(m) be the third derivative of m**7/105 + m**6/10 + 11*m**5/30 + m**4/2 - m**2 - 8*m. Factor c(i).
2*i*(i + 1)*(i + 2)*(i + 3)
Find o, given that 3*o**3 + 0*o**3 + 92687*o - 93083*o - 408 - 90*o**2 = 0.
-2, 34
Let p(v) be the first derivative of -5*v**3/3 - 3*v**2/2 + 2*v - 61. Find i, given that p(i) = 0.
-1, 2/5
Let c be 54/45*(-20)/(-21). Let m = c - 9/14. Factor -1/2*g**4 + 0*g + m*g**2 + 0*g**3 + 0.
-g**2*(g - 1)*(g + 1)/2
Let d(s) = s**2 + s - 6. Let c be d(-7). Suppose -42*p + 18 = -c*p. Let 0 - 3/2*h**2 + 3/2*h**4 + 3/4*h - 3/4*h**5 + 0*h**p = 0. Calculate h.
-1, 0, 1
Let -22/3*m**4 + 0 + 16*m**2 + 8/3*m + 6*m**3 = 0. What is m?
-1, -2/11, 0, 2
Let q = 41411/8 - 5176. Factor -3/4 - 9/8*h + 0*h**2 + q*h**3.
3*(h - 2)*(h + 1)**2/8
Let j(s) = 3. Let i(h) = -2*h**3 + 186*h**2 - 5766*h + 59564. Let x(r) = i(r) + 6*j(r). Factor x(q).
-2*(q - 31)**3
Suppose -4*i = 4*r - 8, i - 2 = 5*r - 18. Factor 0*k + 2/7*k**5 + 0*k**r - 8/7*k**2 + 6/7*k**4 + 0.
2*k**2*(k - 1)*(k + 2)**2/7
Factor 33/2*p**2 - 27/2*p**3 - 18 + 78*p.
-3*(p - 3)*(p + 2)*(9*p - 2)/2
Let c(y) be the third derivative of -3*y**8/616 + 13*y**7/385 + y**6/330 - 47*y**5/165 - 19*y**4/44 - 3*y**3/11 + 4*y**2 + 7*y. Determine k so that c(k) = 0.
-1, -1/3, 3
Let z(q) = q**5 - 17*q**4 + 7*q**2 - 11*q + 5. Let f(c) = 2 - 6*c - 4 - 9*c**4 - 1 + 3*c**2 + 6. Let l(r) = 5*f(r) - 3*z(r). Suppose l(t) = 0. What is t?
-1, 0, 1
Let y(l) be the second derivative of 3*l**5/40 + 17*l**4/8 + 5*l + 6. Solve y(h) = 0.
-17, 0
Let w(s) be the second derivative of s**4/6 - s**3/3 - 6*s**2 + 76*s + 1. Determine y so that w(y) = 0.
-2, 3
Suppose -b - a = -5*b + 4, 0 = -5*b - 2*a + 18. Suppose 0 = b*v - 4 - 10. Factor -42*f**2 + f + v*f + 38*f**2.
-4*f*(f - 2)
Let o(p) be the third derivative of 1/60*p**6 + 1/18*p**4 + 0*p**3 - 1/504*p**8 + 0 - 6*p**2 + 1/315*p**7 - 1/18*p**5 + 0*p. Factor o(f).
-2*f*(f - 1)**3*(f + 2)/3
Let z(n) be the first derivative of -n**6/21 + 8*n**5/35 - 3*n**4/14 + 28. Let z(j) = 0. What is j?
0, 1, 3
Let w(n) be the second derivative of -n**5/5 - 2*n**4 + 18*n**3 - 155*n + 1. Suppose w(f) = 0. Calculate f.
-9, 0, 3
Let c(y) be the first derivative of y**6/900 + y**5/150 + 5*y**3 + 24. Let m(q) be the third derivative of c(q). What is l in m(l) = 0?
-2, 0
Let q(b) be the second derivative of -2/9*b**4 + 0*b**2 + 3*b + 1/10*b**6 - 1/20*b**5 + 2/9*b**3 + 0. Solve q(k) = 0.
-1, 0, 2/3
Suppose u + 14 = -5*s, -3 - 4 = 3*s + 2*u. Let t(q) = -q**2 + 1. Let d(c) = -2*c**2 + c + 3. Let v(p) = s*d(p) + 7*t(p). Factor v(o).
-(o + 1)*(o + 2)
Suppose 4*g - 17 + 10 = 3*x, 5*x - 7 = 2*g. Solve 160/7*h**2 + 80/7*h**3 + 2/7*h**5 + 160/7*h + 20/7*h**g + 64/7 = 0.
-2
Factor -18*d**3 + 0 - 48*d - 3*d**4 + 60*d**2 + 3/2*d**5.
3*d*(d - 2)**3*(d + 4)/2
Let j be (-5 - -4)/((-1)/3). Let -3*z**5 + 3*z**5 + 5*z**5 - 11*z**4 - 5*z**2 + 15*z**j - 4*z**4 = 0. What is z?
0, 1
Let k = 46 + -37. Factor 9*u**2 - 6*u**2 + 2*u**3 + 8 - k*u**2.
2*(u - 2)**2*(u + 1)
Suppose a + a = 4*p + 10, 0 = 4*a + 4*p + 16. Let m be 0 - 8/4*a. Find n such that n**5 - 2*n**4 - 4*n**3 + m*n**3 + 2*n**2 + n**5 = 0.
-1, 0, 1
Let r(b) be the first derivative of -3*b**2 - 1/2*b**3 + 0*b - 21. Let r(o) = 0. What is o?
-4, 0
Suppose -75*b + 169 - 19 = 0. Let d(i) be the second derivative of 2/21*i**3 - 1/84*i**4 + 0 - 1/140*i**5 + 7*i + 2/7*i**b. Find k, given that d(k) = 0.
-2, -1, 2
Let y(p) = -p**3 + 6*p**2 + 7*p. Suppose -n - 4*i = i - 16, -28 = -3*n - 5*i. Let r be y(n). Factor -r + 12 + 24*u - 3*u**2 - 18.
-3*(u - 4)**2
Let r(n) = 2*n**3 + 5*n**2 - 7*n - 5. Suppose 20 = -0*m + 5*m. Let d(k) = 180 - 6*k - 92 + 2*k**3 + 4*k**2 - 92. Let x(i) = m*r(i) - 5*d(i). Solve x(w) = 0.
-1, 0, 1
Let u(o) be the second derivative of -o**5/85 + 15*o**4/34 - 22*o**3/51 + 202*o - 1. Factor u(n).
-2*n*(n - 22)*(2*n - 1)/17
Let v(d) be the first derivative of -5*d**4/12 + 5*d**2/6 - 909. Factor v(i).
-5*i*(i - 1)*(i + 1)/3
Factor -60/7 - 32/7*m - 4/7*m**2.
-4*(m + 3)*(m + 5)/7
Let g be (2/(-14))/(-1) + 33111/(-105). Let f = 317 + g. Suppose 6/5*u - 3/5 + f*u**2 = 0. Calculate u.
-1, 1/3
Suppose -384*i**2 + 93*i**5 - 1114*i - 90*i**5 + 24*i**3 + 27*i**4 - 38*i - 768 = 0. What is i?
-4, -1, 4
Let 207/5*b + 51/5 + 12/5*b**2 = 0. Calculate b.
-17, -1/4
Let k be 1/(-21)*12/(-2). What is j in -k*j**3 + 2/7*j + 2/7*j**2 - 2/7 = 0?
-1, 1
Let f(d) be the first derivative of -d**5/75 - d**4/5 + 14*d**3/15 - 17*d**2/2 - 38. Let j(g) be the second derivative of f(g). Find m such that j(m) = 0.
-7, 1
Suppose -2*j + 9 = b, -j + 0*j - 2*b + 3 = 0. Suppose -j*q - 3*r = -35, -2*r = 3*q - r - 17. Factor -13*w**3 + 2*w + q*w**3 + 7*w**3.
-2*w*(w - 1)*(w + 1)
Let v(u) be the first derivative of u**8/840 - u**6/30 + 2*u**5/15 - u**4/4 + 25*u**3/3 - 50. Let p(j) be the third derivative of v(j). Factor p(a).
2*(a - 1)**3*(a + 3)
Factor -4/3*b**3 - 8*b**2 + 0 + 0*b.
-4*b**2*(b + 6)/3
Let h(t) = -t**5 - t**3 - t**2 - t + 3. Let w(r) = 3*r**5 - 8*r**4 - 12*r**3 + 4*r**2 + 4*r - 12. Let j(l) = -4*h(l) - w(l). Factor j(q).
q**3*(q + 4)**2
Let v(d) = -d**2 - 189*d - 1270. Let t be v(-7). Factor -3/2*a + 39/4*a**2 - 15*a**3 + 0 + 27/4*a**t.
3*a*(a - 1)**2*(9*a - 2)/4
Let -3/2*d**2 + 3/2 + 0*d**4 + 2*d**3 - 1/4*d**5 - 7/4*d = 0. Calculate d.
-3, -1, 1, 2
Let l(z) = 26*z**4 - 249*z**3 + z**2 + 222*z - 9. Let o(f) = 6*f**4 - 62*f**3 + 56*f - 2. Let a(b) = 2*l(b) - 9*o(b). Factor a(u).
-2*u*(u - 30)*(u - 1)*(u + 1)
Let t = 4/4523 - -13561/9046. Find k such that -t*k**5 - 23/4*k**4 + 2*k**2 + k - 19/4*k**3 + 0 = 0.
-2, -1/3, 0, 1/2
Let y(f) = 11*f**2 + 12*f - 8. Let t(s) = 9*s**2 + 11*s - 8. Let c(u) = -6*t(u) + 5*y(u). Factor c(a).
(a - 4)*(a - 2)
Let p(o) be the second derivative of 3*o**5/110 - 4*o**4/33 - 5*o**3/33 + 6*o**2/11 + 25*o. Let p(z) = 0. What is z?
-1, 2/3, 3
Determine d, given that 2/5 - 1/5*d**3 + 1/5*d - 2/5*d**2 = 0.
-2, -1, 1
Let y(f) = 65*f**4 - 175*f**3 + 45. Let g be 7*(-6)/(-105)*(-7 - -2). Let b(o) = 3*o**4 - 8*o**3 + 2. Let q(x) = g*y(x) + 45*b(x). Factor q(w).
5*w**3*(w - 2)
Let a = 882 + -4404/5. Determine c so that 0 - 2/5*c**2 + a*c = 0.
0, 3
Let p(k) be the second derivative of k**5/40 + 21*k**4/8 + 297*k**3/4 - 3267*k**2/4 + 2*k + 4. Factor p(w).
(w - 3)*(w + 33)**2/2
Let a = -34 + 34. Suppose 5*r + f - 10 = 0, 0 = -4*r - 3*f + 3 + 5. Solve -3/7*n + 3/7*n**r + a = 0 for n.
0, 1
Let r(j) be the first derivative of j**3/18 - 2*j**2 + 95*j/6 - 279. Factor r(f).
(f - 19)*(f - 5)/6
Let c(b) be the second derivative of b**6/70 - 27*b**5/140 - b**4/28 + 9*b**3/14 + b - 44. Find g such that c(g) = 0.
-1, 0, 1, 9
Let m = -58503 + 409529/7. Factor 1