
Suppose -5*c - 3*o = -5, -3 - 38 = -4*c + 5*o. Factor -171 + 48*f - 21 - c*f**2 + f**2.
-3*(f - 8)**2
Let l(f) = f**2 + 2*f + 3. Let s(x) = -x**3 + 9*x**2 + 10*x - 3. Let j be s(10). Let c(u) = 51 + u + u**2 + 45 - 94. Let i(o) = j*c(o) + 2*l(o). Factor i(g).
-g*(g - 1)
Factor -42*t**3 - 28*t + 124*t**2 - 92*t**2 + 38*t**3.
-4*t*(t - 7)*(t - 1)
Let c(a) be the third derivative of 1/10*a**5 + 0*a + 0*a**6 - 1/2*a**3 - 4*a**2 - 1/70*a**7 + 0*a**4 + 0. Factor c(l).
-3*(l - 1)**2*(l + 1)**2
Let a(r) be the third derivative of -r**5/120 - 45*r**4/16 + r**2 - 103*r. Factor a(z).
-z*(z + 135)/2
Let d(y) be the third derivative of 0*y - 1/12*y**4 + 1/18*y**3 + 0 + 1/36*y**5 - 8*y**2. Solve d(h) = 0.
1/5, 1
Let d(z) = 4*z + 62. Let b be d(-18). Let s be (-18)/b - 10/(-50). Determine h, given that -2/9*h + 0 - 2/9*h**3 - 4/9*h**s = 0.
-1, 0
Let j = 1120 - 1118. Factor -1/6*l**j - 1/2 + 2/3*l.
-(l - 3)*(l - 1)/6
Let n(y) be the first derivative of -y**5/5 - 3*y**4/4 + y**3/3 + 3*y**2/2 - 84. Find t, given that n(t) = 0.
-3, -1, 0, 1
Let l(b) be the first derivative of -b**6/1800 + b**5/150 - b**4/40 + 4*b**3/3 + 8. Let s(i) be the third derivative of l(i). Find r such that s(r) = 0.
1, 3
Let l be (-189)/(-11) + (175 - 192). Factor -3/11*o**2 - 5/11*o - l.
-(o + 1)*(3*o + 2)/11
Let k = -59 - -72. Suppose 11*v = k*v - 6. Factor 4/5*y**4 - 8/5*y + 4*y**2 + 0 - 16/5*y**v.
4*y*(y - 2)*(y - 1)**2/5
Let a(o) be the second derivative of 5*o + 0 + 0*o**3 + 1/18*o**4 + 0*o**2 + 1/45*o**6 - 1/15*o**5. Factor a(u).
2*u**2*(u - 1)**2/3
Let z = 1457 + -144245/99. Let o = z - -410/693. Suppose 6/7*u**2 + o*u**3 + 8/7 - 16/7*u - 2/7*u**4 = 0. What is u?
-2, 1, 2
Let k(h) = 3*h**3 + 32*h**2 - 165*h + 256. Let p(x) = x**3 + 16*x**2 - 82*x + 128. Let a(j) = -2*k(j) + 5*p(j). Find u, given that a(u) = 0.
4, 8
Let r(u) be the first derivative of -3*u**5/35 + u**3/7 - 74. Let r(w) = 0. Calculate w.
-1, 0, 1
Factor 21728 + 8*y - 21728 + 16*y**4 - 36*y**2 + 12*y**3.
4*y*(y - 1)*(y + 2)*(4*y - 1)
Let f(s) = -13*s**2 + 376*s + 794. Let h(d) = 6*d**2 - 188*d - 396. Let y(p) = -2*f(p) - 5*h(p). Let y(u) = 0. Calculate u.
-2, 49
Let g(v) = -v**2 - 45*v - 294. Let l be g(-8). Factor 1/5*b + 1/5*b**l - 2/5.
(b - 1)*(b + 2)/5
Suppose -4*o + 27 = 7. Let n be (-105)/o*(-1)/3. Suppose -15*y**2 - 4*y**3 - 12 + 18*y**3 - 13*y - 35*y + n*y**3 = 0. What is y?
-1, -2/7, 2
Let z = 147 + -142. Let y(f) be the second derivative of 0*f**4 + 0*f**2 + 0*f**3 + 1/20*f**z + 8*f - 1/30*f**6 + 0. Suppose y(t) = 0. Calculate t.
0, 1
Solve -141 - 88 - 13*i**2 - 665 - 440*i - 37*i**2 - 74 = 0 for i.
-22/5
Let z(b) be the third derivative of b**9/12096 + b**8/6720 - 5*b**3/3 + 16*b**2. Let d(o) be the first derivative of z(o). Factor d(c).
c**4*(c + 1)/4
What is r in 14/11*r**3 - 2/11*r**4 - 10/11*r**2 - 14/11*r + 12/11 = 0?
-1, 1, 6
Let j be (-116861)/(-45) - (-7)/35. Let w = j + -2594. Solve -2/9*b**5 + 22/9*b - 2/3 + 2/9*b**4 - w*b**2 + 4/3*b**3 = 0.
-3, 1
Let w(q) be the first derivative of -4/15*q**5 + 0*q**2 + 2/9*q**6 + 1 + 0*q**4 + 0*q**3 + 0*q. Let w(g) = 0. What is g?
0, 1
Let z(h) = -9*h**2 + 4*h - 5. Let b(q) = -4 - q**2 + 4*q - 2*q**2 - 5*q**2. Let c(i) = 5*b(i) - 4*z(i). Solve c(o) = 0 for o.
0, 1
Let t(u) = u**3 - 8*u**2 + 3*u + 2. Let r(m) = -5*m**3 + 41*m**2 - 14*m - 11. Let c be (-4 - -3)/(-1*(-3)/12). Let n(x) = c*r(x) - 22*t(x). Solve n(i) = 0.
0, 1, 5
Let d(u) be the first derivative of 1/6*u**3 + 9 + 0*u + 0*u**2 + 0*u**4 - 1/10*u**5. Factor d(w).
-w**2*(w - 1)*(w + 1)/2
Let k = 67 + -57. Factor -5*z**3 - 108 + 108 + 40*z + k*z**2.
-5*z*(z - 4)*(z + 2)
Let f = 540/7 - 35633/462. Let w(x) be the second derivative of 0*x**3 + f*x**4 + 0 - 4*x - 1/11*x**2. Find v, given that w(v) = 0.
-1, 1
Let k be (-10)/(-8) + 9/12. Factor 8*g**2 - 2*g**k - 9*g**2 - 4*g - g**2.
-4*g*(g + 1)
Suppose 240 = -13*n + 279. Let y(o) be the third derivative of 0*o - 1/420*o**6 + 0*o**n + 2*o**2 - 1/84*o**4 + 0 - 1/105*o**5. Factor y(c).
-2*c*(c + 1)**2/7
Let g(t) be the third derivative of 0*t**5 - 17*t**2 + 1/2*t**4 - 1/40*t**6 + 0*t + 0 + 0*t**3. Factor g(l).
-3*l*(l - 2)*(l + 2)
Let l = -347 - -350. Let v(m) be the second derivative of 0 + 1/3*m**l + 1/4*m**4 - 11*m - 1/10*m**6 + 0*m**2 - 1/20*m**5 - 1/42*m**7. Factor v(x).
-x*(x - 1)*(x + 1)**2*(x + 2)
Let c(g) be the first derivative of g**4/26 + 10*g**3/13 + 23*g**2/13 - 6*g - 101. Determine z so that c(z) = 0.
-13, -3, 1
Let i be (11/(165/6))/((-2)/(-30)). Find t, given that 35*t - 72*t - 10*t**2 - 2*t**2 - i + 22*t - 3*t**3 = 0.
-2, -1
Let z(x) = -2*x**3 + 18*x**2 - 14*x - 12. Let a be z(8). Let j be (-1 + (a - 3))/((-4)/(-1)). Factor j + 2/9*r**4 + 0*r + 2/9*r**2 - 4/9*r**3.
2*r**2*(r - 1)**2/9
Let b(i) be the second derivative of -i**4/126 + 2*i**3/3 - 80*i**2/21 - 290*i. Factor b(y).
-2*(y - 40)*(y - 2)/21
Let a(u) be the second derivative of 0 - u - 2*u**5 + 5/3*u**3 + 0*u**2 - 5/6*u**6 - 5/12*u**4. Factor a(b).
-5*b*(b + 1)**2*(5*b - 2)
Let d(c) = c**2 + 13*c - 26. Let t be d(-15). Let w(r) be the first derivative of 1 + 8*r + 2/3*r**3 - t*r**2. Solve w(k) = 0 for k.
2
Let z(a) = 4*a**5 + 10*a**4 - 14*a**3 + 6*a**2 - 6*a. Let d(f) = -f**5 - 271 + 271 + f. Let g(n) = -12*d(n) - 2*z(n). Factor g(p).
4*p**2*(p - 3)*(p - 1)**2
Suppose -57 = -3*c - 51. Factor 14*r**2 + 55*r - 16 + 84*r - 27*r - 210*r**c.
-4*(7*r - 2)**2
Factor 3*d - 9*d - 84*d**2 - 51*d + 3 + 7*d - 31*d.
-3*(d + 1)*(28*d - 1)
Let x(s) be the second derivative of 5*s**7/42 - 5*s**6/6 + s**5/2 + 25*s**4/3 - 20*s**3 + 121*s. Factor x(t).
5*t*(t - 3)*(t - 2)**2*(t + 2)
Let m(n) be the third derivative of -n**7/84 - n**6/48 + n**5/3 + 5*n**4/4 + 132*n**2. Factor m(o).
-5*o*(o - 3)*(o + 2)**2/2
Suppose 3*r = -12, -6*r - 388 = -4*n - r. Suppose -5*i + 102 = n. Factor -1/3*q**3 + 1/3*q**4 + 4/3*q + 0 - 4/3*q**i.
q*(q - 2)*(q - 1)*(q + 2)/3
Factor 5*g - g**3 + 38*g**2 - 76*g**2 + 29*g**2 + 5*g.
-g*(g - 1)*(g + 10)
Let h(q) be the second derivative of 0 - 8*q**2 + 1/6*q**4 + 25*q + 2/3*q**3. Find u such that h(u) = 0.
-4, 2
Let q = -14 + 15. Let v = 6 - q. Suppose 6*l**4 + 2*l**2 - l**5 - 3*l**4 + l + 0*l**v - 5*l**4 = 0. What is l?
-1, 0, 1
Let l(x) = -x**3 - 8*x**2 - 2*x - 11. Let u be l(-8). Suppose 3*y - 3*f = u*y + 3, 1 = -y - f. Factor 3/2*b**2 + y*b - 3/2*b**4 + 0 + 0*b**3.
-3*b**2*(b - 1)*(b + 1)/2
Let a = 91 + -87. Factor 133 + g**4 - 3*g**a - 133 + 4*g**2 - 2*g**3.
-2*g**2*(g - 1)*(g + 2)
Let q(m) be the third derivative of -4*m**7/315 + 11*m**6/90 + 7*m**5/15 + m**4/18 - 14*m**3/9 - 14*m**2. Suppose q(g) = 0. What is g?
-1, 1/2, 7
Suppose 3*t + 168 = 60. Let l = t - -38. Find g, given that -4/5*g**l + 4/5 + 2/5*g**3 - 2/5*g = 0.
-1, 1, 2
Let -1075*a - 1383*a - 2270*a**2 + 3293*a + 2410*a**3 - 825*a**4 - 105 - 45*a**5 = 0. What is a?
-21, 1/3, 1
Let w = 19 - 30. Let z be (-38)/(-84) - (6 + w)/(-30). Solve 2/7 - 2/7*c**3 + 2/7*c - z*c**2 = 0 for c.
-1, 1
Suppose 0*d + 2*s = -2*d - 56, 4*d + 144 = 4*s. Let f be (d/(-6))/(2/3). Let 2*z**2 - 6*z + 4*z**3 + 2*z - 10*z**2 + f = 0. What is z?
-1, 1, 2
Let d(l) be the third derivative of 8/9*l**3 + 1/15*l**5 + 0*l + 0 - 1/180*l**6 - 1/3*l**4 - l**2. Suppose d(v) = 0. What is v?
2
Let x = 25/2 + -65/6. Let m(d) be the first derivative of -6 - 4/3*d**3 + x*d**6 + 0*d - 12/5*d**4 - 1/5*d**2 + 4/5*d**5. Solve m(t) = 0.
-1, -1/5, 0, 1
Let z(r) be the first derivative of 3/4*r**3 - 3/4*r**2 - 3/16*r**4 + 11 + 0*r. Determine k so that z(k) = 0.
0, 1, 2
Let a(j) = 4*j - 20. Let u be a(6). Factor -20*g**4 - 9*g**5 + 11*g**3 - u*g - 20*g**2 + 19*g**3 + 9*g + 14*g**5.
5*g*(g - 1)**4
Let p = -89 - -91. Let c(u) be the first derivative of -8/15*u**3 + 8/25*u**5 - 6 - 1/10*u**4 + 0*u + 1/5*u**p. What is t in c(t) = 0?
-1, 0, 1/4, 1
Let x(h) = h**4 - h**3 + h**2 - h. Let i(m) = 7*m**4 - 4*m**3 - 14*m**2 - 28*m - 9. Let r(o) = -i(o) + 4*x(o). Factor r(w).
-3*(w - 3)*(w + 1)**3
Let z = 47 - 129. Let o = z + 247/3. Determine k so that 2/3*k + 1/3*k**2 + o = 0.
-1
Let u(x) be the first derivative of 1/3*x**3 - 2 - 1/2*x**2 - 2*x. Solve u(a) = 0 for a.
-1, 2
Let n be (-12)/66 + 27/88. Let c(t) be the second derivative of -7*t - 1/80*t**5 - 1/8*t**2 + 0 - 1/16*t**4 - n*t**3. Factor c(x).
-(x + 1)**3/4
Let h(p) be the third derivative of 0*p + 0*p**3 + 0*p**4 