actor f(x).
(x - 4)*(x + 1)/2
Let 16*n**4 - 478*n**3 + 2*n - 14*n**4 + 16*n + 500*n**3 + 38*n**2 = 0. Calculate n.
-9, -1, 0
Suppose -2*v - s + 4 = -2, -5*v + 4*s + 15 = 0. Solve 4/17 + 0*c**2 + 2/17*c**v - 6/17*c = 0.
-2, 1
Let z(t) = 100*t - 298. Let s be z(3). Factor -9/4*w**s + 12*w - 15/4.
-3*(w - 5)*(3*w - 1)/4
Let y be (-1)/2 + 5/2. Suppose -5*x + 388 = -y*m, 172 = 2*x - 4*m - m. Factor x*l**2 - 47*l**2 + 4*l - 24*l**3 - 35*l**2 - 14*l**4.
-2*l*(l + 1)**2*(7*l - 2)
Let v(o) be the second derivative of 2*o**6/15 + 7*o**5/5 + 5*o**4/3 - 14*o**3/3 - 12*o**2 + 5*o - 4. Factor v(i).
4*(i - 1)*(i + 1)**2*(i + 6)
Suppose 0 = 22*x + 39*x - 90*x. Factor -2/3*w**4 + 0*w + 4/3*w**2 + x + 14/9*w**3.
-2*w**2*(w - 3)*(3*w + 2)/9
Suppose -2*d + 1 = 29. Let t = d - -15. Suppose -t + 5*x**2 - 3*x**2 - x**2 = 0. What is x?
-1, 1
Factor -6/5*p**3 + 4/5*p**2 + 0 - 1/5*p**5 + 8/5*p - p**4.
-p*(p - 1)*(p + 2)**3/5
Let a = 5/51 - -118/357. Suppose -12/7*s - a*s**2 - 9/7 = 0. Calculate s.
-3, -1
Let w = 161/1038 + 2/173. Let a(u) be the first derivative of w*u**4 + 4/27*u**3 + 2 + 0*u**2 - 1/9*u**6 - 4/45*u**5 + 0*u. Find i, given that a(i) = 0.
-1, -2/3, 0, 1
Let p(r) = 6*r**3 - 345*r**2 + 1147*r - 780. Let b(m) = -5*m**3 + 230*m**2 - 765*m + 520. Let x(f) = 7*b(f) + 5*p(f). Suppose x(s) = 0. Calculate s.
-26, 1, 2
Suppose 0 = 5*y + 2*q + 12, 3*y + 3*q + 9 = -0*y. Let s be 1*(-2 - 0 - y). Solve l**4 + 19*l**2 - 20*l**2 + l**3 - l + s*l**3 = 0.
-1, 0, 1
Let y(n) be the first derivative of 3*n**4/20 + 2*n**3/5 - 3*n**2/10 - 6*n/5 - 106. Suppose y(u) = 0. Calculate u.
-2, -1, 1
Let x(l) be the second derivative of l**4/28 + 2*l**3/7 - 18*l**2/7 - 11*l - 1. Solve x(p) = 0 for p.
-6, 2
Let v = 68413/2 - 34206. Factor 1/4*i**2 - 3/4*i + v.
(i - 2)*(i - 1)/4
Let r = -12276 - -12278. Let i(u) = u**3 - 4*u**2 - u + 4. Let v be i(4). Factor v*l + 2/3*l**r - 8/3.
2*(l - 2)*(l + 2)/3
Let t(x) be the third derivative of 2*x**2 + 1/360*x**5 + 0 + 1/48*x**4 + 1/18*x**3 - 5*x. Find g, given that t(g) = 0.
-2, -1
Let k = -256 - -101. Let w = k + 155. Factor 0 + 1/4*i**3 - 1/4*i**5 - 1/4*i**2 + w*i + 1/4*i**4.
-i**2*(i - 1)**2*(i + 1)/4
Let u(j) = -j + 3. Let i be u(-3). Let d be i - (-3)/(1 + -2). Determine c so that 18*c**2 + 6 - 1 + 2*c + 10*c + 3*c**4 - 2 + 12*c**d = 0.
-1
Let d(k) be the third derivative of k**6/72 + k**5/9 + 5*k**4/18 + 189*k**2. Solve d(z) = 0 for z.
-2, 0
Let h(a) be the second derivative of a**7/3780 + a**6/540 + a**5/180 + a**4/12 - 7*a. Let c(x) be the third derivative of h(x). Factor c(p).
2*(p + 1)**2/3
Let l(k) be the second derivative of 5/102*k**4 + 0*k**2 - 2/85*k**5 - 2/51*k**3 - 12*k + 1/255*k**6 + 0. Determine i, given that l(i) = 0.
0, 1, 2
Let y(b) = b**5 - 4*b**4 + 7*b**2 - b + 3. Let x(m) = -4*m**4 + 6*m**2 + 2. Let t = 61 + -63. Let w(r) = t*y(r) + 3*x(r). Find j, given that w(j) = 0.
-1, 0, 1
Let l(w) be the first derivative of 9 + 3/28*w**4 + 0*w + 5/21*w**3 + 1/7*w**2. What is q in l(q) = 0?
-1, -2/3, 0
Suppose -35/8*t - 17/4 - 1/8*t**2 = 0. What is t?
-34, -1
Let o = -17092 - -17092. Factor 5/2*r**3 + 0*r**2 + 0 + o*r.
5*r**3/2
Let o(p) be the third derivative of -p**11/332640 + p**10/151200 + p**9/10080 + 11*p**5/20 - 25*p**2. Let m(a) be the third derivative of o(a). Factor m(x).
-x**3*(x - 3)*(x + 2)
Let o(q) be the third derivative of -12/35*q**5 + 0 + 49*q**2 - 1/2205*q**7 + 0*q + 13/630*q**6 + 27/14*q**4 + 81/7*q**3. Factor o(h).
-2*(h - 9)**3*(h + 1)/21
Let t(v) be the third derivative of -5*v**9/3024 - v**8/168 + v**6/36 + v**5/24 - 7*v**3/6 - 9*v**2. Let k(d) be the first derivative of t(d). Factor k(w).
-5*w*(w - 1)*(w + 1)**3
Determine x so that 25/2 + 1/2*x**2 - 5*x = 0.
5
Let a = -17954 + 89782/5. Solve 9/5 - a*z + 3/5*z**2 = 0.
1, 3
Factor 2/3*v**4 + 32/3 - 6*v**3 - 24*v + 56/3*v**2.
2*(v - 4)*(v - 2)**2*(v - 1)/3
Factor 107/8*t - 9/4 - 21/2*t**2 - 5/8*t**3.
-(t - 1)*(t + 18)*(5*t - 1)/8
Let m(t) = -2*t**2 - 66*t. Let q be m(-33). What is y in 0*y + q - 1/6*y**2 = 0?
0
Suppose 0 = -6*z + 67 - 49. Let h(b) be the second derivative of 0 + z*b - 1/3*b**3 - 7/12*b**4 - 1/5*b**5 + 1/2*b**2. Let h(t) = 0. Calculate t.
-1, 1/4
Let u(m) be the first derivative of 5*m**6/6 + 16*m**5 + 90*m**4 - 1080*m**2 + 84. Suppose u(x) = 0. Calculate x.
-6, 0, 2
Let f be (-14 + -2 + 1)*-1. Let w be (-3)/((-42)/40) + (-14)/(-98). Find j such that -4 - 3*j + f*j + 12 - j**3 - w*j**3 = 0.
-1, 2
Let a = 543 - 543. Let c(r) be the second derivative of 1/15*r**3 - 1/90*r**4 + 5*r + a - 2/15*r**2. Factor c(x).
-2*(x - 2)*(x - 1)/15
Let r(p) be the second derivative of p**8/11200 - p**7/1400 - p**6/300 - 25*p**4/12 + 5*p. Let m(y) be the third derivative of r(y). Let m(o) = 0. What is o?
-1, 0, 4
Factor 11/5*p - 6/5 - 1/5*p**3 - 4/5*p**2.
-(p - 1)**2*(p + 6)/5
Determine c so that -272*c - 27 - 33 + 312*c - 5*c**2 = 0.
2, 6
Let c(k) be the second derivative of k**5/10 - k**4/6 - 2*k**3/3 - 153*k + 1. What is u in c(u) = 0?
-1, 0, 2
Let n(v) be the third derivative of v**5/20 - 17*v**4/2 + 67*v**3/2 + 21*v**2 - 5. Factor n(w).
3*(w - 67)*(w - 1)
Let w(k) = 3*k**3 - 5*k**2 - 13*k. Let p(d) = -d**3 + 2*d**2 + 4*d. Let o(f) = 11*p(f) + 4*w(f). Let o(m) = 0. Calculate m.
-4, 0, 2
Let t(d) = d**2 - d - 4. Let g be t(-2). Determine z, given that 0*z**3 + 12*z - 3*z**3 + 3*z**g - z**2 + 7*z**2 = 0.
-1, 0, 4
Suppose -6*f - 16 = -2*f, -5*w + 3 = 3*f. Factor 11 + 14*t - 3*t - w*t**2 + 10*t + 13.
-3*(t - 8)*(t + 1)
Factor -423*g**2 - 140704 - 79056 + 9*g**3 + 19881*g + 797 - 6*g**3 - 92506.
3*(g - 47)**3
Factor 1424*f**2 + 19258*f**2 + 3*f**5 + 2187 + 122*f**5 + 2475*f**4 + 14310*f**3 + 14338*f - 2917*f.
(f + 9)**2*(5*f + 3)**3
Suppose -15 = 2*b - 5*w + 8, 5*b + 26 = 2*w. Let k(o) = -o**3 - 2*o**2 + 5*o + 3. Let l be k(b). Factor 3*g**3 - 3*g**3 + l*g - 15 + 3*g**3 + 21 + 12*g**2.
3*(g + 1)**2*(g + 2)
Let w be (1*(0 - -4))/2. Factor -7*g - 233 + g**w + 233.
g*(g - 7)
Let b be (-2)/3 - 154/(-42). Let j = 52 + -37. Factor 13 + 26*m**b - j*m**4 - 6*m - 3 + 9*m**3 - 9*m - 15*m**2.
-5*(m - 1)**3*(3*m + 2)
Let v = 1157 - 1154. Suppose 0 - 16/3*k - 8/3*k**2 + 7/3*k**v - 1/3*k**4 = 0. Calculate k.
-1, 0, 4
Let u be 2/7 + 54/(-189). Let k(h) be the second derivative of 1/160*h**5 + 7*h + 0*h**4 - 1/48*h**3 + 0 + u*h**2. Solve k(b) = 0 for b.
-1, 0, 1
Let m = 235333/5 + -47338. Let b = m + 273. Find r, given that 2/5*r**4 - 6/5*r**3 + b*r + 0*r**2 + 0 = 0.
-1, 0, 2
Suppose 0 = 2*a - 23 + 19. Suppose -116*n - 5*n**3 + 11*n - 48*n**a + 26 + 24 = 0. Calculate n.
-5, 2/5
Factor -142*r + 2/3*r**2 + 0.
2*r*(r - 213)/3
Find j, given that -9*j + 31*j - 12*j**3 + 10*j**3 + 20*j**2 = 0.
-1, 0, 11
Let g = 55/2 + -26. Let f = g - 1. Factor 1/2*h**2 + 0*h - f.
(h - 1)*(h + 1)/2
Suppose 0 = -4*x - 5*s + 2, 499*s + 19 = 3*x + 494*s. Factor 40/3 + 32/3*j**2 - 76/3*j + 4/3*j**x.
4*(j - 1)**2*(j + 10)/3
Let r(v) = 7*v**3 - 11*v**2 - 38*v - 20. Let z(y) = 4*y**3 - 5*y**2 - 19*y - 10. Let m(i) = -6*r(i) + 10*z(i). Determine w so that m(w) = 0.
-1, 10
Suppose 0*w - 1/4*w**4 + 0 + 17/4*w**3 - 4*w**2 = 0. What is w?
0, 1, 16
Suppose 695*v = 345*v + 326*v. Factor 4/5*h + v - 6/5*h**2 + 2/5*h**3.
2*h*(h - 2)*(h - 1)/5
Let o = 11 + -13. Let g be (2/3)/(o/(-9)). Find p, given that -18*p**4 - 6*p**2 + 15*p**3 - g*p**4 + p**3 + 11*p**3 = 0.
0, 2/7, 1
Let y(m) = -13*m**3 + 151*m**2 - 1574*m - 1723. Let n(t) = -63*t**3 + 753*t**2 - 7872*t - 8616. Let x(d) = 5*n(d) - 24*y(d). Factor x(w).
-3*(w - 24)**2*(w + 1)
Let t be ((-4 - -124)/4)/((-3)/(-2)). Suppose 22*h - 4 = t*h. Factor -1/2*y - 1/2*y**3 - y**h + 0.
-y*(y + 1)**2/2
Suppose 2*j = 5*s - 86, 26 = 2*s + 2*j - 0*j. Suppose 5*a + s = -2*z, 4*a + 0 = -16. Suppose -3/7*x**3 - 6/7*x**z + 0 - 3/7*x = 0. Calculate x.
-1, 0
What is z in 25*z + 7*z + 2*z**2 - 8 - 9 - 17 = 0?
-17, 1
Let c be -39 + 40 - (2 + -1 - 2). What is m in 15*m**2 - 4*m**c + 16*m + 8*m**2 + 4 + 6*m**3 = 0?
-2, -2/3, -1/2
Let m(n) be the second derivative of -n**8/53760 + n**6/5760 + n**4 + 11*n. Let p(x) be the third derivative of m(x). Factor p(v).
-v*(v - 1)*(v + 1)/8
Let r(q) = -q**3 + 3*q**2 + q - 4. Let y be (-2 - 1) + (8 - (-3 - -6)). Let w be r(y). What is i in -4/7*i + 2/7 + 2/7*i**w = 0?
1
Let j = 36287/15 - 2419. Factor -4/5 - 2/3*b - j*b**2.
-2*(b + 2)*(b + 3)/15
Let 