(w - 4)*(w + 1)
Let w(f) = -48*f**2 - 370*f - 100. Let r(h) = -23*h**2 - 185*h - 50. Let k(z) = 11*r(z) - 6*w(z). Let k(q) = 0. What is q?
-5, -2/7
Factor 6625/4*r**2 - 1610*r + 529 - 1/4*r**5 - 2395/4*r**3 + 95/4*r**4.
-(r - 46)**2*(r - 1)**3/4
Let x = -175 + 180. Let y(o) be the first derivative of -x - 2/7*o + 2/21*o**3 + 0*o**2. Find r, given that y(r) = 0.
-1, 1
Let j(u) be the first derivative of -u**4 + 4*u**3/3 + 10*u**2 + 12*u + 104. Factor j(w).
-4*(w - 3)*(w + 1)**2
Let z(o) be the first derivative of -2*o**6/3 - 168*o**5/5 - 350*o**4 + 7552*o**3/3 - 5106*o**2 + 4232*o - 4. Suppose z(h) = 0. What is h?
-23, 1, 2
Let x(b) = -23*b - 2. Let s be x(-1). Let h = -9 + s. Factor 3 - 3 + h*j**2 - 9*j**3 - 4*j + j.
-3*j*(j - 1)*(3*j - 1)
Suppose -2*r + 5*y + 389 = 2*r, 3*r = -2*y + 286. Solve -93*d**2 - 7*d**2 - 20*d**4 + r*d**3 - 57*d**3 + 20*d + 46*d**3 = 0.
0, 1/4, 2
Let v = -1 + 3. Let z be 35/(-14)*(-12)/15. Suppose 2*l**v + l**3 - l**2 - z*l**3 = 0. Calculate l.
0, 1
Suppose -6/13*x**3 - 56/13*x + 0 - 48/13*x**2 + 2/13*x**4 = 0. Calculate x.
-2, 0, 7
Suppose 1152 = -23*t - t. Let m be (t/(-126))/((-6)/(-21)). Factor -2/3*r**2 - 2*r - m.
-2*(r + 1)*(r + 2)/3
Determine g so that 40 - 15/2*g**2 - 5/4*g**3 + 0*g = 0.
-4, 2
Let i be 4/11 - 27/((-8613)/841). Suppose 0*z + 0 - 1/4*z**i - 7/4*z**2 = 0. Calculate z.
-7, 0
Suppose 4*j - w = 3*w + 760, 950 = 5*j + 5*w. Let u be (57/j)/(0 - (-6)/8). Solve -u*i**4 + 2*i**2 + 2/5*i**3 + 6/5*i + 0 = 0 for i.
-1, 0, 3
Let w(c) be the third derivative of -6*c**2 + 0*c + 0 - 1/30*c**5 - 3*c**3 - 1/2*c**4. Factor w(n).
-2*(n + 3)**2
Suppose 20*j**2 + 29*j**2 + 1521 + 154*j - 106*j + 15*j**2 + 576*j = 0. What is j?
-39/8
Let y(z) be the second derivative of 9*z**5/20 + 5*z**4/2 + 3*z**3/2 + 93*z. Factor y(x).
3*x*(x + 3)*(3*x + 1)
Suppose 0 = 2*m - 5*f + 6, -4*f - 1 = -9. Determine o so that m*o - 38*o**2 + 34*o + 75*o**4 - 90*o**3 + 12 + 5*o**2 = 0.
-2/5, 1
Let j(i) be the third derivative of 27*i**2 + 1/270*i**5 + 0*i - 1/540*i**6 - 4/27*i**3 + 0 + 1/27*i**4. Factor j(r).
-2*(r - 2)*(r - 1)*(r + 2)/9
Let p be (-6)/(-108)*15/2. Let v(f) be the first derivative of 1/8*f**4 - p*f**3 - 1/4*f**2 + 1/4*f**5 + 1 + 0*f. Let v(d) = 0. Calculate d.
-1, -2/5, 0, 1
Let v(o) be the first derivative of 4*o**3/3 - 492*o**2 + 60516*o - 54. Factor v(q).
4*(q - 123)**2
Let v(f) be the second derivative of -14*f - 5/132*f**4 - 1/33*f**3 + 0 + 0*f**2 + 1/462*f**7 - 3/220*f**5 + 1/330*f**6. Let v(l) = 0. What is l?
-1, 0, 2
Let p be 0/((-12)/(-4)*(0 - 1)). Suppose 3*u + z = u + 4, 3*u - 4*z - 17 = p. Solve -9/8*b**u - 3/8*b - 15/8*b**2 + 3/8 = 0.
-1, 1/3
Let x = -293 - -296. Let f(m) be the second derivative of -1/2*m**2 - 1/30*m**6 + 2*m + 0*m**5 + 0*m**x + 1/6*m**4 + 0. Factor f(g).
-(g - 1)**2*(g + 1)**2
Let h be 42/9*(-6)/(-4). Suppose 7 + 9 + 0 + 5*o - 4*o**2 + h*o = 0. What is o?
-1, 4
Let s(x) be the first derivative of x**6/24 - x**5 + 145*x**4/16 - 75*x**3/2 + 135*x**2/2 - 54*x - 39. Factor s(p).
(p - 6)**3*(p - 1)**2/4
Let t(i) = i**5 + i + 1. Let k(w) = -24*w**5 - 12*w**4 - 4*w**3 + 12*w**2 - 12*w - 20. Let u(y) = -k(y) - 20*t(y). Suppose u(b) = 0. What is b?
-2, -1, 0, 1
Let -44/9 + 2/9*m**3 - 16/3*m**2 + 10*m = 0. What is m?
1, 22
Let i = 48 - 39. Solve 3*f**5 + 34*f**2 - 6*f**3 - 18*f - 6*f**3 - i*f**4 + 3*f**3 - f**2 = 0.
-2, 0, 1, 3
Suppose v + 9 = s, -2*v - 70 + 46 = -4*s. Find h, given that 1/7*h**4 - 2/7*h**s + 1/7*h + 1/7 - 2/7*h**2 + 1/7*h**5 = 0.
-1, 1
Let h = 14506/16317 + -2/16317. Factor 0 + 2/3*t**3 + 2/9*t**4 - h*t + 0*t**2.
2*t*(t - 1)*(t + 2)**2/9
Let w(t) be the second derivative of 0*t**2 - 5/3*t**3 + 9*t + 0 - 25/12*t**4. Factor w(a).
-5*a*(5*a + 2)
Let h be (-3)/12 - 1450/(-8). Let x = 909/5 - h. Factor x - 8/5*r + r**2 - 1/5*r**3.
-(r - 2)**2*(r - 1)/5
Suppose -5*q + 9 = 5*l + 14, 3*q = 18*l + 81. Determine h so that 2/3 + 2*h + 2/3*h**q + 2*h**2 = 0.
-1
Let f(c) be the first derivative of c**6/21 + 78*c**5/35 + 111*c**4/14 + 218*c**3/21 + 36*c**2/7 - 797. Find x such that f(x) = 0.
-36, -1, 0
Suppose -48 - 30 = -39*u. Let k(q) be the second derivative of 3/5*q**u + 9/100*q**5 + 9/10*q**3 + 0 - 8*q + 1/2*q**4. Determine r, given that k(r) = 0.
-2, -1, -1/3
Let f(n) be the first derivative of 5*n**4/12 + 1265*n**3/9 + 13440*n**2 + 26460*n + 310. Determine i, given that f(i) = 0.
-126, -1
Let r be ((-534)/24)/((-2)/(-24)). Let x = 272 + r. Determine w, given that 1/2*w**2 + 25/2 - x*w = 0.
5
Factor -110*v + 69*v**3 + 25*v**4 - 375*v**2 - 136*v**3 - 173*v**3.
5*v*(v - 11)*(v + 1)*(5*v + 2)
Let z = 217/436 + 1/436. Factor 3*g**4 + 8*g - 12*g**2 + z*g**3 + 0 + 1/2*g**5.
g*(g - 1)**2*(g + 4)**2/2
Let t(x) = -3*x**2 + 125*x - 346. Let g be t(3). Find l such that -3/7*l**3 - 3/7*l**g + 12/7*l + 12/7 = 0.
-2, -1, 2
Solve 2/5*f**4 + 0 - 8*f - 18/5*f**3 + 48/5*f**2 = 0.
0, 2, 5
Let 1/4*q**2 + 0 - 7/2*q = 0. Calculate q.
0, 14
Let h be (1 + -2)*35/(-10). Let r = h + -13/4. Factor 0*l - r*l**3 - 1 + 3/4*l**2.
-(l - 2)**2*(l + 1)/4
What is n in -2*n**3 - 65*n - 285*n + 22*n**3 - 335*n**2 + n**4 + 4*n**4 = 0?
-10, -1, 0, 7
Let a(z) be the first derivative of z**4/60 + z**3/30 - z**2/5 - 2*z + 15. Let g(q) be the first derivative of a(q). Factor g(o).
(o - 1)*(o + 2)/5
Let q(t) be the first derivative of t**8/840 - t**7/420 + 3*t**3 - 9. Let n(i) be the third derivative of q(i). Factor n(j).
2*j**3*(j - 1)
Let z = 448/5 - 7223/80. Let a = 13/16 - z. Determine k, given that -a + 3*k - 3/2*k**2 = 0.
1
Factor -27*j + 3/2*j**2 + 243/2.
3*(j - 9)**2/2
Solve 0*p - 13/5*p**3 + 0 - 14/5*p**2 + 1/5*p**4 = 0 for p.
-1, 0, 14
Let w(y) be the second derivative of y**7/42 - y**6/30 - y**5/4 + y**4/12 + 4*y**3/3 + 2*y**2 - 78*y. Factor w(a).
(a - 2)**2*(a + 1)**3
Let i(g) be the first derivative of g**6/21 + 2*g**5/35 - 9*g**4/7 - 104*g**3/21 - 40*g**2/7 - 229. Factor i(t).
2*t*(t - 5)*(t + 2)**3/7
Let p(k) = -1. Let n(h) = 9*h**2 + 3*h - 5. Let z(x) = n(x) - 5*p(x). Let j(g) = -8*g**2 - 3*g. Let w(c) = -6*j(c) - 5*z(c). Factor w(i).
3*i*(i + 1)
Let o be (-35)/(-42)*-8 + 7. Factor 1/3*i**2 + 2/3*i + o.
(i + 1)**2/3
Factor 84*i + 0*i**2 + 116*i + 52*i - 32*i - 5*i**2.
-5*i*(i - 44)
Suppose -l + 4*j + 14 = 0, j - 13 = -16. Let m(k) be the second derivative of 0*k**2 - 1/30*k**4 + 0 + l*k + 2/15*k**3. Factor m(g).
-2*g*(g - 2)/5
Let x(c) be the first derivative of -c**6/21 + 8*c**5/105 + 31*c**4/21 - 104*c**3/21 + 15*c**2/7 - 92. Let x(n) = 0. Calculate n.
-5, 0, 1/3, 3
Let z(i) be the third derivative of -10*i**2 - 2/3*i**3 - i**5 - 13/12*i**4 + 0*i - 8/105*i**7 - 7/15*i**6 + 0. Let z(m) = 0. Calculate m.
-2, -1/2
Let n(v) be the second derivative of -v**7/21420 + v**6/1224 - 7*v**4/12 - 3*v. Let x(c) be the third derivative of n(c). Solve x(r) = 0 for r.
0, 5
Factor 22*d**4 - 1567*d + 1567*d - 10*d**5 - 14*d**3 + 2*d**2.
-2*d**2*(d - 1)**2*(5*d - 1)
Let i = -89/4 - -2405/108. Let g(c) be the second derivative of 0 - i*c**4 + 1/9*c**3 - 2/9*c**2 + c. Factor g(q).
-2*(q - 2)*(q - 1)/9
Let z = 57 - 40. Suppose n = -5*v + z, 0 = -2*v - 5*n + 4*n + 5. Factor 2*t**v + 0*t + 0 - 2*t**3 - 2/3*t**5 + 2/3*t**2.
-2*t**2*(t - 1)**3/3
Suppose -3 = -5*r + 17. Solve 36*h**r - h + 8*h**2 + 5*h**3 + 5*h - 35*h**4 = 0 for h.
-2, -1, 0
Let d be 3/(-2)*100/(-75). Let s(a) be the first derivative of -1/2*a**d + 3 + a**3 + 0*a. Factor s(g).
g*(3*g - 1)
Let w(i) be the third derivative of i**6/90 - 4*i**5/45 + 5*i**4/18 - 4*i**3/9 - 17*i**2 - 3*i. Factor w(s).
4*(s - 2)*(s - 1)**2/3
Let d = 116 + -91. Factor 2*j - 5*j**3 + 9*j - 17*j + 11*j + d - 25*j**2.
-5*(j - 1)*(j + 1)*(j + 5)
Let t(w) = w**4 + w**3 + 1. Let g(h) = 13*h**4 + 27*h**5 - 35*h**5 + 11*h**3 + 11 + 13*h**5. Let f(v) = 2*g(v) - 22*t(v). Determine q, given that f(q) = 0.
-2/5, 0
Let h(z) be the first derivative of -3*z**6 + 57*z**5/5 - 12*z**4 - 6*z**3 + 21*z**2 - 15*z + 160. Solve h(r) = 0.
-5/6, 1
Let c(j) be the first derivative of j**3/3 - 14*j**2 + 257. What is r in c(r) = 0?
0, 28
Let b(n) be the second derivative of n**7/1680 - n**5/480 + 7*n**2 + 20*n. Let a(p) be the first derivative of b(p). Suppose a(m) = 0. What is m?
-1, 0, 1
Let w(u) be the third derivative of 19*u**5/90 - 37*u**4/18 - 8*u**3/9 - 438*u**2. Find s, given that w(s) = 0.
-2/19, 4
Let s(d) = -3*d +