+ 7*i**4/8 - 8*i**2. Let r(n) be the second derivative of p(n). Solve r(m) = 0 for m.
3
Let n(y) be the first derivative of 2/3*y**3 + 1/4*y**4 + 0*y + 13 + 0*y**2. Factor n(f).
f**2*(f + 2)
Let g be (-4)/(-18) + 74/666. Find o such that 0 - g*o**5 - 4/3*o**2 - 5/3*o**4 - 8/3*o**3 + 0*o = 0.
-2, -1, 0
Let g(v) = -v**5 + v**4 + 1. Let p(m) = 10*m**4 - 5*m**3 - 5*m**2 + 5. Let f(x) = -5*g(x) + p(x). Factor f(c).
5*c**2*(c - 1)*(c + 1)**2
Let 735/2*u + 225/2 + 459/2*u**2 - 243/2*u**3 = 0. What is u?
-5/9, 3
Suppose -37*i = -41*i. Let w(g) be the third derivative of 2*g**2 + 1/60*g**4 + 0 - 4/75*g**5 + i*g + 0*g**3 + 4/75*g**6. Determine d so that w(d) = 0.
0, 1/4
Let -312/7*l - 374/7*l**3 + 32/7 + 81/7*l**5 + 852/7*l**2 - 279/7*l**4 = 0. Calculate l.
-2, 2/9, 1, 4
Let x(i) = 4*i**2 + 5 - 3*i**3 + 1 + 41*i + 8*i**2 - 42*i. Let y be x(4). Let 0 + 0*s**y + 6/5*s**5 + 14/5*s**4 + 4/5*s**3 + 0*s = 0. Calculate s.
-2, -1/3, 0
Let o = -48 - -53. Factor -o + 5 - k - k - 2*k**2.
-2*k*(k + 1)
Let m be (-22)/121 - 180/(-22). Factor 4 + 12*h**2 + m - 4*h**3 - 8 - 12*h.
-4*(h - 1)**3
Let x(p) be the first derivative of p**4/2 + 8*p**3/3 - 5*p**2 + 47. Determine w, given that x(w) = 0.
-5, 0, 1
Let t(x) = -7*x**2 + 28*x - 42. Let v(o) = 155*o**2 - 615*o + 925. Let m(f) = -45*t(f) - 2*v(f). Let m(q) = 0. Calculate q.
2, 4
Let h be 3*4/(-18) - (-10)/15. Let b(g) be the third derivative of -8/15*g**5 + g**2 + h*g - 7/60*g**6 - 11/12*g**4 - 2/3*g**3 + 0. Suppose b(s) = 0. What is s?
-1, -2/7
Find z, given that -18/7*z**4 + 117/7*z + 54/7 - 3/7*z**5 + 60/7*z**2 - 18/7*z**3 = 0.
-3, -1, 2
Let x be (-7)/(-35) + 2/(-10). Suppose 0 = -x*y - y. Suppose 6*q**4 - 4*q**2 + y*q**4 + 0 - 4*q**4 + 2 = 0. What is q?
-1, 1
Let k be (3 - (-42)/(-15)) + (-23)/115. Let o(i) be the second derivative of 29/24*i**4 + 9/40*i**5 + k + 2*i**3 + 6*i + i**2. Factor o(x).
(x + 1)*(x + 2)*(9*x + 2)/2
Suppose 67*l - 64*l - 6 = 0. Let i(p) = p**2 - p - 1. Let r be i(-1). Find x, given that r + 15*x - l*x**2 + 1 - 15*x = 0.
-1, 1
Factor -36 - 111/2*j - 9/4*j**2.
-3*(j + 24)*(3*j + 2)/4
Determine z, given that 32/3*z + 56/3*z**2 + 0 + 4/3*z**4 + 28/3*z**3 = 0.
-4, -2, -1, 0
Let n = 66 - 55. Suppose -n*c = -15*c. Factor -2/5*v**3 + 2/5*v**4 + c*v**2 + 0*v + 0.
2*v**3*(v - 1)/5
Let f be 1 + 10 + (-2)/(-1). Suppose 26 = -4*h + 66. Find n such that -50*n**2 - 5 - h*n - 50*n - f + 0 = 0.
-3/5
Determine a, given that -4/5 + 2/5*a + 4/5*a**2 - 2/5*a**3 = 0.
-1, 1, 2
Suppose 41 = 5*j + 6*u - 4*u, 2 = -u. Suppose 17 = 2*w + j. Factor 1/5*x**3 + 0 + 0*x + 1/5*x**2 - 1/5*x**w - 1/5*x**5.
-x**2*(x - 1)*(x + 1)**2/5
Let z(a) be the first derivative of 1/2*a**2 - 4/5*a + 39 - 1/15*a**3. Determine p, given that z(p) = 0.
1, 4
Factor 23*v**2 + 24*v**2 + 60*v + 29 - 50*v**2 + 34.
-3*(v - 21)*(v + 1)
Let g = 338 + -334. Let h(z) be the second derivative of 0 - 5*z + 1/3*z**2 + 1/18*z**g + 2/9*z**3. Find o, given that h(o) = 0.
-1
Let v(z) = -3*z**2 + 78*z + 75. Let r(n) = -7*n**2 + 155*n + 149. Let i(p) = 6*r(p) - 13*v(p). Suppose i(a) = 0. Calculate a.
-27, -1
Let v(h) = -4*h**2 - 20*h + 32. Let q(o) = -o**2 - 7*o + 11. Let z = 27 - 35. Let m be ((-6)/4)/(1/(-2)). Let f(k) = m*v(k) + z*q(k). Find u such that f(u) = 0.
-2, 1
Let o(c) be the third derivative of c**7/840 - c**6/120 + c**5/40 - c**4/24 + c**3/24 + 284*c**2 - 2*c. Determine a so that o(a) = 0.
1
Let t(f) be the first derivative of -1/18*f**4 + 5/36*f**3 - 2 - 1/6*f**2 + 1/120*f**5 - 8*f. Let z(y) be the first derivative of t(y). Solve z(a) = 0.
1, 2
Let l(f) be the third derivative of f**8/5040 - f**6/540 - f**4/6 + 4*f**2. Let s(i) be the second derivative of l(i). Determine w so that s(w) = 0.
-1, 0, 1
Let x(o) be the third derivative of -o**6/180 - o**5/2 + 47*o**4/18 - 27*o**2 + 12. Suppose x(n) = 0. Calculate n.
-47, 0, 2
Let a(g) be the third derivative of -2*g**7/315 - g**6/9 - 23*g**5/45 - 7*g**4/9 - 217*g**2 + g. Factor a(h).
-4*h*(h + 1)*(h + 2)*(h + 7)/3
Find s such that -12/5 + 27/5*s**2 - 4/5*s - 11/5*s**3 = 0.
-6/11, 1, 2
Let q be -1*(-4 - 2)*16/24. Let a = 297/4 - 74. Factor q*w**2 + a + 2*w.
(4*w + 1)**2/4
Let u(s) be the third derivative of -s**7/735 + 3*s**6/35 - 54*s**5/35 - 35*s**2 - 3*s. Factor u(r).
-2*r**2*(r - 18)**2/7
Let a(z) be the second derivative of z**6/90 + z**5/20 - 7*z**4/36 - 5*z**3/6 + 3*z**2 + 8*z. Let a(l) = 0. What is l?
-3, 1, 2
Let i(r) = -r**2 + 7*r - 10. Let x be i(6). Let h(g) = 5*g**3 + 20*g**2 - 20. Let n(v) = -5*v**3 - 19*v**2 + v + 19. Let q(p) = x*h(p) - 5*n(p). Factor q(t).
5*(t - 1)*(t + 1)*(t + 3)
Let a(i) = -2*i - 22. Let y be a(-9). Let b be -2*((3 - 0) + y). Find n such that -32*n**2 + 77*n**b - 41*n**2 = 0.
0
Determine c so that -6/17 - 14/17*c + 10/17*c**4 + 12/17*c**3 - 4/17*c**2 + 2/17*c**5 = 0.
-3, -1, 1
Suppose g - 13 = -5*v, g - 6*v - 5*v + 19 = 0. Factor 0 + 0*h + 3/2*h**g + 0*h**2 + 3/4*h**4.
3*h**3*(h + 2)/4
Let y(b) = -b**3 + b + 2. Let v be y(0). Factor -2 - n - v*n**2 + 3*n**2 + 4*n**2 + n**3 - 2*n**2 - n**4.
-(n - 2)*(n - 1)*(n + 1)**2
Let o(j) be the second derivative of -j**6/60 + 5*j**5/8 - 23*j**4/24 - 25*j**3/12 + 6*j**2 + 285*j. Suppose o(r) = 0. What is r?
-1, 1, 24
Let h(r) = -17*r**2 - 93*r + 96. Let u(o) = -15*o**2 - 93*o + 96. Let k(y) = 6*h(y) - 7*u(y). Determine f, given that k(f) = 0.
-32, 1
Suppose -28/5*c**4 - 4*c + 4*c**3 + 36/5*c**2 - 8/5 = 0. What is c?
-1, -2/7, 1
Let d(r) be the third derivative of -r**7/210 - r**6/60 + r**5/60 + r**4/12 - 82*r**2. Factor d(z).
-z*(z - 1)*(z + 1)*(z + 2)
Suppose -34 = -2*b + 5*l, 48 = 4*b - l - 4*l. Let i be (-6)/(-9) - b/(-3). Factor -i*u + 64*u**2 - 13*u - 53*u**3 + 36*u**4 - 31*u**3.
4*u*(u - 1)*(3*u - 2)**2
Find o, given that 2/11*o**3 - 8/11*o - 8/11*o**2 + 32/11 = 0.
-2, 2, 4
Let n(s) be the third derivative of -s**6/160 - s**5/8 + 37*s**4/32 - 13*s**3/4 - 39*s**2. Suppose n(x) = 0. What is x?
-13, 1, 2
Let g(n) be the third derivative of -n**6/420 - 9*n**5/35 + 37*n**4/28 - 8*n**3/3 + 2*n**2 - 202*n. Determine p so that g(p) = 0.
-56, 1
Let q = 386/7 - 751/14. Let m(b) be the second derivative of -3/2*b**2 - 3/4*b**4 - 3/20*b**5 - q*b**3 + 0 + 8*b. Suppose m(a) = 0. Calculate a.
-1
Let q(n) be the first derivative of n**4/4 + 2*n**3/3 - 7*n**2/2 + 4*n + 190. Factor q(c).
(c - 1)**2*(c + 4)
Let z be 4 - (-12)/(-40)*(-115)/(-9). Let d(q) be the first derivative of -z*q**2 + 1 + 0*q + 1/24*q**4 - 1/18*q**3. Let d(s) = 0. What is s?
-1, 0, 2
Let r(v) = 2*v**4 - 8*v**3 + 4*v**2 + 2*v + 2. Let u(l) = -7*l**4 + 32*l**3 - 16*l**2 - 9*l - 9. Let c(t) = -9*r(t) - 2*u(t). Find o, given that c(o) = 0.
0, 1
Let l(p) be the second derivative of 1/27*p**3 - 6*p - 1/54*p**4 + 0*p**2 + 0. Factor l(w).
-2*w*(w - 1)/9
Let z = 32209 + -32207. Factor 0*c**z - 4/3*c**5 - 4/3*c**3 + 0 + 0*c - 8/3*c**4.
-4*c**3*(c + 1)**2/3
Let f(g) = 3*g**2 + 32*g + 54. Let u be f(-2). Determine l so that -1 - 7/2*l + u*l**2 = 0.
-1/4, 2
Let q(n) be the second derivative of 5*n**5/4 + 65*n**4/6 - 125*n**3/6 - 15*n**2 - 21*n + 9. Factor q(v).
5*(v - 1)*(v + 6)*(5*v + 1)
Let a(k) = -7*k**2 - k - 9. Let g(n) be the third derivative of -n**5/30 - n**3/3 - n**2. Let l(h) = 4*a(h) - 18*g(h). Suppose l(z) = 0. Calculate z.
0, 1/2
Suppose 0 = 9*l + 380 + 2527. Let d be (-612)/l + 2/19. Factor -9/2*s + 0 - 3/2*s**d.
-3*s*(s + 3)/2
What is r in -229*r**2 + 126*r**2 - 25*r + 123*r**2 + 5*r**3 = 0?
-5, 0, 1
Let r(v) be the third derivative of -v**6/540 + v**5/36 - v**4/9 + v**3/2 - 11*v**2. Let m(j) be the first derivative of r(j). Determine u, given that m(u) = 0.
1, 4
Suppose 187 = a + 27. Factor 342 + a*m**2 - 80*m - 45*m**5 + 40*m**3 - 120*m**4 - 342.
-5*m*(m + 2)**2*(3*m - 2)**2
Let k be (8/84)/(1/((-3)/(-3))). Let j(d) be the first derivative of 0*d + 0*d**2 + k*d**3 - 1/14*d**4 - 5. Factor j(z).
-2*z**2*(z - 1)/7
Let a(m) be the second derivative of -1/2*m**2 + 1/12*m**4 + 1/20*m**5 + 0 - 1/6*m**3 - 24*m. Factor a(c).
(c - 1)*(c + 1)**2
Let s be ((-3)/(-3))/((-4)/(-4)). Let d be s - (-5 - (4 - 8)). Factor 6*j**d + 4*j**4 + 1 - 1 - 10*j**2.
4*j**2*(j - 1)*(j + 1)
Let n(z) be the second derivative of -1/15*z**3 + 8*z + 1/30*z**4 + 0 - 2/5*z**2. Factor n(w).
2*(w - 2)*(w + 1)/5
Let a(h) = 2*h - 11. Suppose 3*n - 24 = 18. Let m be a(n). Factor -l**5 + m*l**4 + 4*l