572/(-55))/(6/5)*1. Solve -1/2*h - o*h**2 + 0 = 0.
-1, 0
Let b(z) = 25*z**2 + 27*z - 11. Suppose 0 = -6*h + 2*h + 8. Let v(o) = -4*o**h - 1 + 3*o**2 - o + 2*o. Let l(n) = b(n) + 5*v(n). Factor l(r).
4*(r + 2)*(5*r - 2)
Let u be 2/8*-6 - 69. Let g = -69 - u. Find c such that -g*c**2 - 3/2*c + 3/2*c**3 + 3/2 = 0.
-1, 1
Let p = -39 - -43. Determine t, given that 9*t**3 + 10*t**2 - p*t**3 - 15*t + 0*t**3 = 0.
-3, 0, 1
Let -5*k**5 + 4*k**5 - 7*k**5 + 24*k**3 - 26*k**3 + 10*k**4 = 0. What is k?
0, 1/4, 1
Let n = 43 + -38. Let k(t) be the second derivative of 0*t**2 + 0*t**3 + 2*t + 0*t**4 + 1/60*t**n + 0 + 1/90*t**6. Find q, given that k(q) = 0.
-1, 0
Let 168*b - 171/2*b**2 - 54 + 15/2*b**3 = 0. Calculate b.
2/5, 2, 9
Let d = -38950 - -38952. Determine z so that 1/5*z**d - 1/5*z**3 + 0*z + 0 = 0.
0, 1
Let r be 6/45*6 - (-1)/(-2). Let m(f) be the first derivative of -2 - r*f**2 + 1/20*f**4 + 2/5*f + 0*f**3. Factor m(g).
(g - 1)**2*(g + 2)/5
Let y = 64 - 55. Factor k + k**3 + y*k**2 - 13*k**2 + 3*k.
k*(k - 2)**2
Let v(t) = -12*t**2 + 20*t - 8. Let c(j) = -j**2 - j + 1. Let f = 30 - 26. Let o(w) = f*c(w) + v(w). Determine r, given that o(r) = 0.
1/2
Let j(z) = -57*z - 338. Let h be j(-6). Let 1/4*t**h + 2*t - 3/4*t**2 - 1 - 1/2*t**3 = 0. Calculate t.
-2, 1, 2
Let y(b) = -5*b**2 - 11*b + 30. Let a(r) = 5*r**2 + 12*r - 30. Let h(t) = t - 4. Let c be h(-3). Let j(m) = c*y(m) - 6*a(m). Factor j(w).
5*(w - 2)*(w + 3)
Let k(v) be the second derivative of v**6/120 + 17*v**5/20 + 33*v**4/8 + 49*v**3/6 + 65*v**2/8 - 634*v. Factor k(r).
(r + 1)**3*(r + 65)/4
Factor -11*h**2 + 0*h + 1/4*h**3 + 0.
h**2*(h - 44)/4
Suppose -5*k**2 + 443*k - 25132 - 6868 + 357*k = 0. What is k?
80
Suppose -4*c + 28 = 4*q, 16 = -4*q + 7*q - 2*c. Factor -q*h**2 - 32 + 8*h**2 + 14*h**2 + 124*h.
4*(h + 8)*(4*h - 1)
Let s(z) be the first derivative of -20/17*z**2 + 16/17*z + 4/51*z**3 + 21/34*z**4 + 4 - 18/85*z**5. Determine m so that s(m) = 0.
-1, 2/3, 2
Let p(c) = -6*c**3 - 16*c**2 - 14*c - 2. Let q(m) = 30*m**3 + 80*m**2 + 72*m + 11. Let g(l) = 11*p(l) + 2*q(l). Factor g(b).
-2*b*(b + 1)*(3*b + 5)
Let m(v) be the first derivative of -v**3/15 + 3*v**2/5 - 8*v/5 - 71. Factor m(h).
-(h - 4)*(h - 2)/5
Suppose -127*v - 32*v = -18*v + 113*v. Factor 1/2*z**3 + 0*z + v + 1/4*z**2.
z**2*(2*z + 1)/4
Let i(g) = 80*g**3 - 139*g**2 - 1807*g - 4015. Let c(p) = 19*p**3 - 35*p**2 - 452*p - 1004. Let a(o) = -17*c(o) + 4*i(o). Find v such that a(v) = 0.
-4, 21
Let b = 25 - 22. Suppose 2*h + b = 9. Solve 40*u**h + u**2 - u**4 - 40*u**3 = 0.
-1, 0, 1
Let b(p) = -3*p**3 - 13*p**2 + 18*p + 43. Let k be b(-5). Let w(h) be the second derivative of 1/14*h**k + 0 - 1/84*h**4 + 12*h + 2/7*h**2. Factor w(i).
-(i - 4)*(i + 1)/7
Let y = -4343/2 + 2173. Factor -y*r**2 + 9/2*r - 3.
-3*(r - 2)*(r - 1)/2
Suppose -2*j + 815 - 285 = 0. Let 2*c**5 - c**4 - 10*c**3 + 7*c + 245*c**2 + 16 + c - j*c**2 + 5*c**4 = 0. Calculate c.
-2, -1, 1, 2
Let j = -6627/82 - -485/6. Let n = j - -1216/861. Factor 8/7 + 2*w**3 + n*w**2 - 32/7*w.
2*(w - 1)*(w + 2)*(7*w - 2)/7
Let i be 8/(-3)*(-9)/6. Find g such that -4*g - 26 + 16*g**2 + 18 + 8*g**3 - 12*g**i - 4*g**5 + 4*g**4 = 0.
-2, -1, 1
Let b(r) = -r**3 + 14*r**2 - 30*r + 74. Let u be b(12). Determine x, given that -1/5*x**4 + 1/5*x**3 - 2/5*x**5 + 0*x**u + 0 + 0*x = 0.
-1, 0, 1/2
Suppose 3*f + 84 - 84 = 0. Let m(t) be the third derivative of -2*t**2 + 0*t + 2/3*t**4 + 1/15*t**5 + f + 2*t**3. Solve m(l) = 0.
-3, -1
Let v(d) be the third derivative of -7/150*d**6 - 3/10*d**4 - 1/5*d**5 - 11*d**2 + 0*d**3 + 0 - 2/525*d**7 + 0*d. Factor v(w).
-4*w*(w + 1)*(w + 3)**2/5
Suppose 0*b + 9/4*b**2 - 5/4*b**4 + 0 - 3/4*b**3 - 1/4*b**5 = 0. Calculate b.
-3, 0, 1
Let b(o) be the third derivative of -o**5/12 + 25*o**4/24 - 5*o**3 + o**2 - 36. Determine v so that b(v) = 0.
2, 3
Let n(s) = 80*s**4 - 172*s**3 - 172*s**2 + 28*s. Let z(m) = 9*m**4 - 19*m**3 - 19*m**2 + 3*m. Let a(u) = -3*n(u) + 28*z(u). Factor a(f).
4*f**2*(f - 2)*(3*f + 2)
Let k = 2437/12 + -203. Let c(a) be the third derivative of -4*a**2 + k*a**3 + 3/40*a**5 + 0*a + 1/60*a**6 + 0 + 1/8*a**4. Factor c(w).
(w + 1)**2*(4*w + 1)/2
Let g(j) = 2*j**3 + j**2 - j. Let r(n) = -2*n**4 - 30*n**3 + 46*n**2 + 34*n - 40. Let u(o) = -4*g(o) + r(o). Factor u(w).
-2*(w - 1)**2*(w + 1)*(w + 20)
Suppose 21 + 27 = 24*x. Let k(d) be the second derivative of -3/10*d**6 + 6*d - 9/2*d**3 + 9/4*d**4 + 3/20*d**5 + 3*d**x + 0. Find s, given that k(s) = 0.
-2, 1/3, 1
Let t(s) be the first derivative of -s**7/945 - s**6/405 - s**5/540 + 2*s**3/3 + 10*s - 3. Let n(f) be the third derivative of t(f). Factor n(x).
-2*x*(2*x + 1)**2/9
What is o in 1/7*o**3 - 3362/7 - 12*o**2 + 1845/7*o = 0?
2, 41
Let b be (4 - 20/8)/1. Let p(k) be the first derivative of -1/6*k**3 + 7 - 9/2*k + b*k**2. Factor p(v).
-(v - 3)**2/2
Let r(u) be the second derivative of u**5/70 + u**4/21 - 15*u. Factor r(i).
2*i**2*(i + 2)/7
Let v(o) be the third derivative of 0 + 1/6*o**4 + 0*o**3 + 1/120*o**6 - 54*o**2 + 1/12*o**5 + 0*o. Factor v(x).
x*(x + 1)*(x + 4)
Let c(i) be the second derivative of i**5/220 + 18*i**4/11 + 1944*i**3/11 + 2*i + 4. Solve c(y) = 0.
-108, 0
Suppose -2*k = 4 - 10. Factor -4*i**2 - 5*i**4 + 9*i**3 - 2*i**3 + 3*i**k - i**2.
-5*i**2*(i - 1)**2
Solve -9*g - 8*g + 14 + 12*g**2 + 5*g - 11 + 0*g**2 = 0 for g.
1/2
Let m(g) be the third derivative of 0*g + 0*g**3 - 4*g**2 - 1/60*g**6 - 1/12*g**4 - 1/15*g**5 + 0. Factor m(a).
-2*a*(a + 1)**2
Let a(r) be the second derivative of -2*r**6/135 + 7*r**5/45 - 5*r**4/27 - 14*r**3/27 + 4*r**2/3 - 140*r. Let a(h) = 0. Calculate h.
-1, 1, 6
Let f(b) be the first derivative of 5*b**4/4 + 28*b**3/3 + 13*b**2/2 - 10*b + 82. Factor f(y).
(y + 1)*(y + 5)*(5*y - 2)
Let g(h) be the third derivative of 7*h**6/360 + 13*h**5/36 + 79*h**4/36 + 20*h**3/9 - 2*h**2 + 5. Determine d so that g(d) = 0.
-5, -4, -2/7
Suppose -8*t + 5 = -27. Suppose -3*v + 5 + t = 0. Find r, given that -1/4*r**v + 0*r**2 + 1/4*r + 0 = 0.
-1, 0, 1
Let u(o) be the second derivative of 5*o**7/126 - o**6/3 + 13*o**5/12 - 5*o**4/3 + 10*o**3/9 + 173*o. Factor u(j).
5*j*(j - 2)**2*(j - 1)**2/3
Let j = 4/97 - -10852/291. Let b = j + -37. Factor -b + 1/3*q + 2/3*q**2.
(q + 1)*(2*q - 1)/3
Let a(p) = p**3 + 11*p**2 - 29*p - 39. Let y be a(-13). Let o(m) be the third derivative of 0*m**3 - 1/150*m**5 + y + 0*m**4 + m**2 + 0*m. Factor o(q).
-2*q**2/5
Determine n, given that 2/13*n**4 - 18/13*n - 22/13*n**2 + 18/13*n**3 + 20/13 = 0.
-10, -1, 1
Let v(m) be the first derivative of m**7/840 + m**6/120 - m**4/6 - 11*m**3/3 - 1. Let y(c) be the third derivative of v(c). Factor y(h).
(h - 1)*(h + 2)**2
Let k(b) be the second derivative of -b**6/45 + 17*b**5/30 + 37*b**4/18 + 19*b**3/9 - 504*b. Determine t, given that k(t) = 0.
-1, 0, 19
Factor 0 - 98*k - 29/2*k**3 + 1/2*k**4 + 112*k**2.
k*(k - 14)**2*(k - 1)/2
Suppose -6*w - 20 = -110. Factor w + t**2 + 25*t + 2*t**2 + 2*t**2 + 0*t**2 - 5*t**3.
-5*(t - 3)*(t + 1)**2
Suppose p = 40 - 36. Let w(g) be the second derivative of -1/18*g**p + 4/3*g**2 + 0 + 0*g**3 - 7*g. Factor w(f).
-2*(f - 2)*(f + 2)/3
Factor -2*l**3 - 23 + 9*l**2 + 6*l**4 + 37*l**2 + 2*l - 13*l**4 - 16*l**4 - l + l**5.
(l - 23)*(l - 1)**2*(l + 1)**2
Let r be 198/(-10) + (-3)/((-45)/(-6)). Let t = -97/5 - r. Factor 4/5*x + 1/5*x**2 + t.
(x + 2)**2/5
Let h(d) = d + 6*d**4 - 3*d + 12 - 8*d - 9*d**2 + 6*d**3 + d. Let q(l) = -11*l**4 - 12*l**3 + 19*l**2 + 17*l - 23. Let m(w) = -5*h(w) - 3*q(w). Factor m(z).
3*(z - 1)**2*(z + 1)*(z + 3)
Suppose d - 10 = -d. Let f(k) be the second derivative of -d*k - 1/20*k**5 + 1/6*k**3 - 1/2*k**2 + 1/12*k**4 + 0. Find i, given that f(i) = 0.
-1, 1
Factor -16*f - 1/8*f**4 + 0 + 7/4*f**3 - 4*f**2.
-f*(f - 8)**2*(f + 2)/8
Let g be -4 - -3 - 3/(-1). Let o be ((-4)/3)/(-7 + (-20)/(-4)). Solve -o*s**g - 4/3*s - 2/3 = 0.
-1
Factor 10 + 20*t**2 - 33*t - 21*t + 99*t.
5*(t + 2)*(4*t + 1)
Let j(i) be the second derivative of -35*i**4/6 + 15*i**3/2 + 25*i**2/2 + 3*i + 65. Let j(y) = 0. What is y?
-5/14, 1
Factor 2*b**3 - b + 141*b**2 - 145*b**2 - b + 4*b.
2*b*(b - 1)**2
Let i(x) be the first derivative of 14*x**5/5 + 51*x**4/2 + 224*x**3/3 + 84*x**2 + 32*x + 62. Let i(b) = 0. What is b?
-4, -2, -1, -2/7
Let t(u) be the first derivative of u**5/10 + 9*u**4 + 35*u*