h**2.
-(h - 1)*(4*h - 1)*(5*h - 2)/3
Suppose 1/5*p**4 + 4/5*p**3 + 0 + 0*p - 21/5*p**2 = 0. What is p?
-7, 0, 3
Let f(s) = 288 - 207*s - 62*s**2 + 152*s**2 - 75*s**2. Let c(y) = y**2 - 13*y + 18. Let v(t) = -33*c(t) + 2*f(t). Find a, given that v(a) = 0.
2, 3
Let j(s) = -8*s**4 + 10*s**3 + 15*s**2 - 23*s - 20. Let m(g) = 9*g**4 - 13*g**3 - 15*g**2 + 24*g + 3*g**3 + 24 - 4. Let q(t) = 4*j(t) + 3*m(t). Factor q(a).
-5*(a - 2)**2*(a + 1)**2
Suppose 13*a = 3 + 3 + 33. Let -8/7*b**2 - 10/7*b - 2/7*b**a - 4/7 = 0. Calculate b.
-2, -1
Let r(k) be the first derivative of -k**2/2 - 2*k - 3. Let z be r(-4). Factor 2*x - 3*x**2 - 2*x**2 + 4*x**z - 1.
-(x - 1)**2
Factor 3 - 2*y**3 + 981*y + y**3 - 19 - 969*y.
-(y - 2)**2*(y + 4)
Let h = 59 - 53. Suppose -2*v + h = v. Let 0 - 1/3*b - 1/3*b**3 - 2/3*b**v = 0. What is b?
-1, 0
Let m(y) = -y**5 + 2*y**3 - y**2 - y - 1. Let o(q) = -25*q**5 + 35*q**4 - 55*q**3 + 105*q**2 - 100*q. Let z(v) = -20*m(v) + o(v). Factor z(c).
-5*(c - 2)**2*(c - 1)**3
Solve -2/3*a**2 - 16/3 - 4*a = 0 for a.
-4, -2
Let n(f) be the first derivative of 15*f**6/2 + 78*f**5/5 - 51*f**4/4 - 20*f**3 - 6*f**2 + 152. What is r in n(r) = 0?
-2, -2/5, -1/3, 0, 1
Suppose 0 = -o + 2*f + 5 - 2, 0 = -2*o - 5*f - 3. Let j be (-3)/(o + 17)*12/(-9). Factor -2 - j*w**2 + 4/3*w.
-2*(w - 3)**2/9
Let t = 29 + -42. Let c be 10/(-9)*t/(260/24). Determine l so that 3*l**4 + 4*l**3 - 7/3*l**5 + 0*l - c*l**2 + 0 = 0.
-1, 0, 2/7, 2
Suppose -5*w - 30 - 25 = -5*h, -5*w = 2*h - 15. Suppose 32 = h*r + 12. Factor 2/7*z**3 + 0*z**4 - 2/7*z**5 + 0*z + 0*z**r + 0.
-2*z**3*(z - 1)*(z + 1)/7
Let g = 26/11 - 119/55. Let a(x) be the second derivative of -2/3*x**4 + 6*x - 2/3*x**3 + 4*x**2 + 0 + g*x**5. Factor a(m).
4*(m - 2)*(m - 1)*(m + 1)
Let b = 42 + -39. Let z be (-324)/(-405)*40/14. Determine i, given that -z*i**b - 8/7*i + 4/7 - 4*i**2 = 0.
-1, 1/4
Suppose 1 = -2*a - l, -a + 4*l - 6 = a. Let x(q) = -2*q**2 - 3*q + 4. Let b(f) = -f. Let k(t) = a*x(t) + b(t). Factor k(w).
2*(w - 1)*(w + 2)
Factor 73*l**3 - 14*l**2 - 279*l - 26*l**2 + 46*l**4 + 275*l.
l*(l + 2)*(2*l - 1)*(23*l + 2)
Let i(m) be the second derivative of m**4/42 + 10*m**3/21 + 16*m**2/7 + 61*m - 2. Find n such that i(n) = 0.
-8, -2
Let y(z) be the third derivative of z**8/1344 - z**7/420 - 7*z**6/240 - z**5/30 + 13*z**4/96 + 5*z**3/12 - 19*z**2 - 6. Solve y(b) = 0.
-2, -1, 1, 5
Let -4900 + 353*z + 429*z - 1062*z - 4*z**2 = 0. Calculate z.
-35
Let s(n) be the first derivative of -10/3*n**3 - 2*n**4 + 0*n - 2 - 2/5*n**5 - 2*n**2. Suppose s(i) = 0. Calculate i.
-2, -1, 0
Let o = 77 - 74. Find a such that a**2 - 9*a**o - 11*a**3 + 15*a**5 - 35*a**4 + 5*a**3 - 20 + 54*a**2 = 0.
-1, -2/3, 1, 2
Let o(f) be the first derivative of f**6/24 - f**5/4 + 9*f**4/16 - 7*f**3/12 + f**2/4 - 27. Factor o(n).
n*(n - 2)*(n - 1)**3/4
Let h = 165 + -165. Let t(l) be the first derivative of 1/6*l**2 + h*l - 6 + 1/9*l**3. Factor t(g).
g*(g + 1)/3
Let o(x) be the third derivative of -1/140*x**7 + 0*x**3 + 0*x**6 + 0*x**5 + 0 + 0*x - 13*x**2 + 0*x**4. Factor o(v).
-3*v**4/2
Let p be (-2 + 0)/((-90)/(-184)). Let r = -16/5 - p. Find l, given that 8/3*l - 4/9*l**2 + 2 - r*l**3 + 2/9*l**4 = 0.
-1, 3
Let n be (-1 + 14/10)/((-14)/(-35)). Suppose -5*a + 19 + 2 = 2*v, -3*a + 9 = 0. Factor u**2 - u**v + 4*u - n - 3*u + 0.
-(u - 1)**2*(u + 1)
Let s = -2881 + 8645/3. Factor -s*g + 0 + 1/6*g**2.
g*(g - 4)/6
Let w(f) be the second derivative of -f**7/21 + 2*f**6/5 - 6*f**5/5 + 5*f**4/3 - f**3 + f - 14. What is k in w(k) = 0?
0, 1, 3
Let d(x) = 5*x**2 + 15*x - 60. Let i be (-2 - 3/3) + 1 + -1. Let k(w) = -2*w**2 - 8*w + 30. Let u(l) = i*d(l) - 5*k(l). Let u(f) = 0. Calculate f.
-3, 2
Let k(c) be the first derivative of -18/13*c + 6/13*c**2 - 2/39*c**3 + 14. Factor k(m).
-2*(m - 3)**2/13
Let k(x) = x**3 + 52*x**2 - 102*x + 327. Let y be k(-54). Let o(n) be the first derivative of 8*n - 7 - 4/5*n**5 + y*n**4 - 6*n**2 - 4/3*n**3. Factor o(t).
-4*(t - 2)*(t - 1)**2*(t + 1)
Let i(u) = 24*u**2 - 125*u + 26. Let q(x) = 47*x**2 - 250*x + 53. Let t(m) = 7*i(m) - 4*q(m). Solve t(f) = 0.
1/4, 6
Suppose q = -5*w + 17, -4*q + 3*q + 5 = w. Suppose -q*v + 18 - 18 = 0. Solve 24/7*m**2 + 0 + 176/7*m**3 + 50*m**4 + v*m + 14*m**5 = 0 for m.
-3, -2/7, 0
Let a(q) be the second derivative of q**5/4 - q**4 - 6*q**3 + 8*q**2 - 40*q - 3. Factor a(s).
(s - 4)*(s + 2)*(5*s - 2)
Let l = 532/5 + -319/3. Let a(b) be the second derivative of 3/50*b**5 + 1/210*b**7 + 0 + 1/30*b**3 - l*b**4 - 4*b - 2/75*b**6 + 0*b**2. Factor a(h).
h*(h - 1)**4/5
Let b(i) be the third derivative of -2*i**7/105 + 11*i**6/15 - 7*i**5/5 + 153*i**2. Factor b(p).
-4*p**2*(p - 21)*(p - 1)
Suppose 3*a - 17 - 49 = 0. Suppose 2*l = 6*d - d - 24, -3*d = -5*l - a. Factor -1/3*f**d - 1/3*f**2 + 0 - 2/3*f**3 + 0*f.
-f**2*(f + 1)**2/3
What is z in -2819*z**3 + 1400*z**3 + 32*z**2 - 10*z + 1401*z**3 - 4 = 0?
-2/9, 1
Let k(v) be the first derivative of -v**4/28 - 5*v**3/21 - v**2/2 - 3*v/7 - 718. Determine n, given that k(n) = 0.
-3, -1
Factor 1/3*r**4 - 13/3*r + 10/3 - r**2 + 5/3*r**3.
(r - 1)**2*(r + 2)*(r + 5)/3
Factor 12/5*p + 2/15*p**2 + 0.
2*p*(p + 18)/15
Let v(t) be the first derivative of 2*t**5/95 - 6*t**3/19 - 189. Find x such that v(x) = 0.
-3, 0, 3
Let o be ((-6)/126)/((-46)/15 - -3). Let 2/7 + o*v + 2/7*v**2 = 0. What is v?
-2, -1/2
Let z = 8737 + -8734. Factor 1/3*i**3 + 8/3*i - z*i**2 + 0.
i*(i - 8)*(i - 1)/3
Find j, given that 1/3*j**2 + 0 + 1/3*j = 0.
-1, 0
Let k = 54 - 52. Let i be 16/9 - k/(-9). What is f in 1/7*f + 0 - 1/7*f**i = 0?
0, 1
Factor 3*x**2 - x**2 - 338*x + 165*x + 157*x + 24.
2*(x - 6)*(x - 2)
Let k(m) be the first derivative of -5*m**4/4 + 5*m**3/3 + 10*m**2 - 20*m + 45. Solve k(h) = 0 for h.
-2, 1, 2
Solve -96 - 20*r**3 + 4*r**4 - 9*r**4 + 96 = 0 for r.
-4, 0
Let p(i) be the first derivative of -4*i**3 + 7/5*i**5 + 0*i + 9/4*i**4 - 2*i**2 - 3. Factor p(n).
n*(n - 1)*(n + 2)*(7*n + 2)
Let l(h) be the first derivative of -h**3 - 111*h**2/2 + 324. Determine b so that l(b) = 0.
-37, 0
Let s(i) = -3*i - 117. Let y be s(-39). Let g(o) be the first derivative of 0*o**2 + 3*o + 4 + 3/5*o**5 - 2*o**3 + y*o**4. Factor g(h).
3*(h - 1)**2*(h + 1)**2
Let g(x) = x + 24. Let n be g(-21). Determine c, given that -25*c**2 + 9*c**4 + 11*c**4 - 259*c**n + 5 + 274*c**3 - 15*c = 0.
-1, 1/4, 1
Let z(c) = -31*c**2 - 114*c - 108. Let s(u) = -18*u**2 - 57*u - 54. Let f(k) = -5*s(k) + 3*z(k). Suppose f(x) = 0. Calculate x.
-18, -1
Let m(t) be the second derivative of t**6/10 - 27*t**5/20 + 23*t**4/4 - 15*t**3/2 + 2*t + 568. Factor m(d).
3*d*(d - 5)*(d - 3)*(d - 1)
Suppose k + j = 6, 20 = 4*k + 4*j - j. Factor 0*p**2 - 4*p**3 + 11*p**2 - 5*p**2 + 10*p**k - 16*p.
-4*p*(p - 2)**2
Let i(n) = 2*n**2 - 7*n. Let h(s) = -5*s**2 + 15*s. Let z(b) = -3*h(b) - 5*i(b). Suppose z(m) = 0. Calculate m.
0, 2
Suppose 0 + 76/7*k**3 - 12/7*k**4 + 20/7*k - 12*k**2 = 0. What is k?
0, 1/3, 1, 5
Let k(u) = -5*u**4 - 15*u**2 + 7. Let d(n) = 0 - n**4 + 8*n**2 + 4*n**4 - 4. Let y = -700 - -693. Let c(h) = y*d(h) - 4*k(h). Suppose c(b) = 0. Calculate b.
-2, 0, 2
Let s(q) be the third derivative of q**6/630 - q**5/105 + 7*q**3/3 + 7*q**2. Let t(a) be the first derivative of s(a). Factor t(r).
4*r*(r - 2)/7
Let t(f) be the first derivative of 0*f + 0*f**2 + 11 + 9/14*f**6 + 18/35*f**5 + 8/7*f**3 - 15/7*f**4. Factor t(k).
3*k**2*(k + 2)*(3*k - 2)**2/7
Suppose 35 = 4*d + d. Let q(w) = 8*w - 3 + 6 - 2*w + 3*w**2. Let o(x) = -x**2 - 2*x - 1. Let f(s) = d*o(s) + 2*q(s). Factor f(i).
-(i + 1)**2
Let r be 1*2/(-14)*4/(-2). Let k = 1/17 - -10/119. Determine m so that r*m + k*m**2 + 1/7 = 0.
-1
Let o = -225/2 - -5063/45. Let p(k) be the second derivative of -2/3*k**3 - 1/10*k**5 + o*k**6 + 13/36*k**4 + 0 + 2/3*k**2 - 5*k. Let p(i) = 0. What is i?
1, 2
Let w(l) be the first derivative of 10*l**6/3 + 388*l**5/5 + 428*l**4 - 2176*l**3/3 - 2560*l**2 - 1600*l + 155. Suppose w(g) = 0. What is g?
-10, -1, -2/5, 2
Solve 1/3*d**5 + 0 + 157/3*d**3 - 22/3*d**4 + 108*d - 132*d**2 = 0 for d.
0, 2, 9
Solve -5*r**5 - 4*r**4 - r**4 + 87*r**3 + 260*r**2 + 3*r**3 + 200*r = 0.
-2, 0, 5
Let z(s) = -11*s**4 + 27*s**3 + 317*s**2 + 735*s + 456. Let u(q) = 2*q**4 + q**3 - 1. Let f(c) = 6*u(c) + z(c). Factor f(y).
(y + 1)*(y + 2)*(y + 15)**2
Factor -1 - 1/2*q**2