erivative of z(n). Factor t(j).
-(j - 1)*(j + 3)
Suppose 22*s - 29150 = -4224. Let q = 1137 - s. Factor 0 - 22/5*f**2 - 4/5*f - 32/5*f**3 - 14/5*f**q.
-2*f*(f + 1)**2*(7*f + 2)/5
Suppose -5*l = 2*l + 28. Let h(s) = s**3 + 5*s**2 + 5*s. Let y be h(l). Let n(r) = 2*r**2 - 6. Let j(z) = z**2 - z - 5. Let o(d) = y*j(d) + 3*n(d). Factor o(x).
2*(x + 1)**2
Let f = 93 + -90. Let c = f + 24. Determine x, given that -36*x - 207*x**2 - 93*x - 89 + 68 - c*x**3 = 0.
-7, -1/3
Let z = 124 - -6. Suppose -93*j + z = -67*j. Suppose 1/4*u**4 - 1/4*u**j - 2*u - 1 - 1/4*u**2 + 5/4*u**3 = 0. What is u?
-1, 2
Let n(w) = -13*w**2 + 1556*w + 1590. Let h(t) = -4*t**2 + 518*t + 528. Let p(d) = -7*h(d) + 2*n(d). Find b such that p(b) = 0.
-1, 258
Suppose 270*o**3 + 5251 - 4990 + 792*o**2 + 0*o**4 + 786*o + 3*o**4 = 0. Calculate o.
-87, -1
Let f = 471 + -470. Let d be (24/16)/f - -3. Find t, given that 0 + 9/2*t**4 - 3/2*t**5 + 15/2*t**3 - d*t**2 - 6*t = 0.
-1, 0, 1, 4
Let r = -294 + 294. Suppose -4*j - 25 = -3*s, -s + r - 1 = j. Solve 0 - 3/5*c**s + 3/5*c - 3/5*c**4 + 3/5*c**2 = 0 for c.
-1, 0, 1
Let p = -101 - -107. Suppose -4*g + 18 = p. Find f, given that -4*f**3 - g - 1 + 4*f - 879*f**2 + 883*f**2 = 0.
-1, 1
Let j = -35 - -46. Let n(p) = -p**3 + 11*p**2 + 2*p - 7. Let r be n(j). Solve -10 + 0 + r*s**3 + 162*s**4 - 15*s + 5*s**2 - 157*s**4 = 0 for s.
-2, -1, 1
Let y = -1/1208 - -379/1812. Let v(t) be the third derivative of 7*t**2 + 0*t - 1/12*t**5 + 0*t**3 + 0 + y*t**4. Determine b so that v(b) = 0.
0, 1
Determine b so that 164*b + 33/2*b**4 + 363/2*b**2 + 175/2*b**3 + 1/2*b**5 + 54 = 0.
-27, -2, -1
Let m(w) be the second derivative of 73*w**6/50 + 111*w**5/25 + w**4/5 - 2212*w. Determine l so that m(l) = 0.
-2, -2/73, 0
Suppose -2*f + 15*f = -26*f. Suppose 8*n + 21*n = f. Factor 0*w + 2/9*w**3 + n - 4/3*w**2.
2*w**2*(w - 6)/9
Let m be (-2)/(-8)*-10*-2. Suppose -2*w - 4*r + 1919 = -5*r, 5*r = m*w - 4785. Determine t, given that -10*t - w + 962 - 5*t**2 = 0.
-2, 0
Let w be (46/16 - 1)/((-85896)/(-38176)). Factor 5/6*r + w*r**2 + 0.
5*r*(r + 1)/6
Let x(p) be the first derivative of -1/6*p**3 - 1/60*p**5 + 0*p + 1/12*p**4 + 1/2*p**2 + 5. Let l(g) be the second derivative of x(g). Solve l(w) = 0.
1
Suppose -2*v = -4*v - 96. Let d = v + 53. Factor 4*w**4 - w**d - w + 2*w**3 - 4*w**2 - 2*w**2 - 2*w**4 + 2*w**2 + 2.
-(w - 2)*(w - 1)**2*(w + 1)**2
Let t = 207 - 417. Let f = t - -213. Factor 4/5*w**f + 4*w - 17/5*w**2 - 4/5.
(w - 2)**2*(4*w - 1)/5
Let l be (-262)/(-13) + 8/(-52). Suppose 5*z - v - l = 0, 0 = 2*z + v + 5 - 6. Find m, given that 3*m**4 - 3*m**2 + 0 + 27/5*m**z - 6/5*m - 21/5*m**5 = 0.
-1, -2/7, 0, 1
Suppose -5*x + 23*x - 90 = 0. Let w be x/((-35)/(-52)) - 7. Suppose w*a**3 + 3/7*a**2 + 0 + 0*a = 0. What is a?
-1, 0
Let g = -10140/97 + 61519/582. Solve 7/6*m**2 + 0 + m - 1/6*m**5 - 5/6*m**3 - g*m**4 = 0.
-6, -1, 0, 1
Suppose 5*d - 7*t + 332 = 0, t = 4*d + d + 356. Let s be (2/13)/(d/78 - -1). Solve 12/5*h + 0 + 7*h**4 + 81/5*h**3 - 68/5*h**s = 0.
-3, 0, 2/7, 2/5
Let v = 6786 + -6779. Let z(w) be the second derivative of 2/21*w**v + 2/3*w**4 + 15*w + 0*w**6 + 0 + 2*w**3 - 4/5*w**5 - 4*w**2. Factor z(p).
4*(p - 1)**3*(p + 1)*(p + 2)
Let q be 7*-48*(-41)/3444. Find y, given that 0 - 17/6*y**2 + 5/3*y**3 + 4/3*y - 1/6*y**q = 0.
0, 1, 8
Let v(z) = -13*z - 373. Let y be v(-29). Suppose -38*t - 41*t - 33 - 153*t**2 - 28*t**3 + 65*t**2 + y*t**4 - 75*t**2 - 61*t = 0. Calculate t.
-3, -1/2, 11
Let s = -1538 + 1540. Let p(h) be the second derivative of 5/42*h**7 + 0*h**3 - 5/4*h**5 + 0*h**s - 29*h + 0 - 5/4*h**4 - 1/6*h**6. Factor p(i).
5*i**2*(i - 3)*(i + 1)**2
Let s(l) be the first derivative of 0*l**2 - 11 + 1/10*l**5 - 1/30*l**6 - l + 0*l**4 + 0*l**3. Let d(a) be the first derivative of s(a). Factor d(m).
-m**3*(m - 2)
Let m be (-2)/8 + (-1590)/40. Let n = -41 - m. Let r(v) = -v. Let x(f) = -2*f**2 - 22*f - 128. Let p(a) = n*x(a) - 10*r(a). Let p(t) = 0. Calculate t.
-8
Suppose -2*h = -w + 8, 0 = 5*w - 322*h + 324*h + 8. Let z(j) be the second derivative of 1/12*j**4 + 15*j + 0 + w*j**3 + 0*j**2. Suppose z(p) = 0. Calculate p.
0
Let m be (-6 - (-62)/8)/((-2)/(-24)). Let b(x) = x - 19. Let d be b(m). Suppose 5*h - 13*h - 5*h**2 - d*h + 15 = 0. Calculate h.
-3, 1
Let y(k) be the third derivative of -124251499*k**6/300 + 249001*k**5/25 - 499*k**4/5 + 8*k**3/15 + 974*k**2. Factor y(v).
-2*(499*v - 2)**3/5
Let g(t) be the third derivative of 9*t**7/70 + t**6/8 - 19*t**5/5 - 19*t**4/2 + 24*t**3 + 1439*t**2. Factor g(u).
3*(u - 3)*(u + 2)**2*(9*u - 4)
What is i in -19*i**4 - 66*i**2 + 13*i + 37*i**3 + 12*i**4 - 8 + 15*i + 16*i = 0?
2/7, 1, 2
Let u(h) be the second derivative of 280/3*h**3 - 216*h + 26/3*h**4 + 0 - 784*h**2 + 1/5*h**5. What is q in u(q) = 0?
-14, 2
Let j(c) be the third derivative of -c**6/360 - 277*c**5/180 - 19591*c**4/72 - 18769*c**3/6 - 3143*c**2. Factor j(q).
-(q + 3)*(q + 137)**2/3
Let z(g) be the first derivative of -2*g**3/51 - 141*g**2/17 + 284*g/17 + 315. Let z(c) = 0. What is c?
-142, 1
Let d be -50 - (-57 + 16) - (282/(-15) - -2). Determine k so that -3*k**2 + 18/5 + d*k = 0.
-2/5, 3
Factor -16 - 30/7*y - 2/7*y**2.
-2*(y + 7)*(y + 8)/7
Let o(w) be the first derivative of -34/3*w**3 + 2*w**4 + 20*w**2 + 25 - 8*w. Suppose o(v) = 0. What is v?
1/4, 2
Let v = 56272189/48292 - -16/12073. Let h = v - 1165. Determine r, given that -h*r**2 + r - 3/4 = 0.
1, 3
Let q be 3883/(-4840) - 2/16. Let s = -8/11 - q. Factor -1/5*b**4 - 2/5 + 3/5*b**2 + s*b - 1/5*b**3.
-(b - 1)**2*(b + 1)*(b + 2)/5
Let i(v) be the first derivative of 75 - 2*v**2 + 4/3*v**3 + 0*v. Factor i(u).
4*u*(u - 1)
Let j be (-57)/(-4)*1*(-10988)/(-16482). Factor -9 - 1/2*h**2 - j*h.
-(h + 1)*(h + 18)/2
Let b(p) be the third derivative of 1/12*p**4 - 1/60*p**6 + 1/135*p**5 - 2/27*p**3 - 3*p**2 + 4*p + 0. Factor b(i).
-2*(i - 1)*(i + 1)*(9*i - 2)/9
Suppose 2 = 4*m - 3*m. Factor 31970 + 3310 + 493*n + 6*n**2 - n**m - 1333*n.
5*(n - 84)**2
Let o(c) = -1887*c + 443447. Let a be o(235). Factor -2/9*x**2 - a - 20/9*x.
-2*(x + 1)*(x + 9)/9
Factor -1/4*b**3 - 88 - 48*b - 15/2*b**2.
-(b + 4)**2*(b + 22)/4
Let q(v) be the first derivative of -5/2*v**4 + 32*v - 84 - 52*v**2 + 64/3*v**3. Factor q(d).
-2*(d - 4)*(d - 2)*(5*d - 2)
Let g(r) be the first derivative of -44 - 4*r**4 - 1350*r**2 + 22*r**4 - 60*r**3 - 9*r**4 - 13500*r - 10*r**4. Factor g(z).
-4*(z + 15)**3
Let 18*a + 11/2*a**3 - 9*a**4 - 5/2*a**5 + 36*a**2 + 0 = 0. What is a?
-3, -2, -3/5, 0, 2
Let d(p) be the first derivative of -p**4 - 3784*p**3/3 + 427. Factor d(y).
-4*y**2*(y + 946)
Let r(v) be the third derivative of 1/150*v**5 + 0*v**3 + 1/600*v**6 + 1/120*v**4 + 0 + 0*v - 141*v**2. Find h such that r(h) = 0.
-1, 0
Let a(v) be the second derivative of 0*v**2 + 0*v**5 + 1/6*v**6 - 80*v - 5/4*v**4 + 5/3*v**3 + 0. Determine q so that a(q) = 0.
-2, 0, 1
Let m(t) be the first derivative of -t**6/14 - 876*t**5/35 - 32409*t**4/14 - 42340*t**3/7 - 63075*t**2/14 + 7142. Factor m(a).
-3*a*(a + 1)**2*(a + 145)**2/7
Let c(r) be the second derivative of r**7/14 - r**6/2 - 147*r**5/20 - 31*r**4/4 + 96*r**3 + 270*r**2 + r + 74. Solve c(j) = 0.
-3, -1, 2, 10
Let 3*n**2 + 3192*n - 127208 + 552992 + 263392 + 96912 + 62984 = 0. Calculate n.
-532
Suppose -3*t = -3*z + 6, -4*t + 6 = 20*z - 17*z. Find v, given that 0 + 14/13*v**3 + 12/13*v - 46/13*v**z = 0.
0, 2/7, 3
Suppose -6*s - s = -42. Suppose -s = -2*d + 2*i, d - i = -4*d + 35. Factor -6*b - 2*b**2 + 10*b**4 + 6*b**3 + d*b**4 + 4 + 11*b**4 - 31*b**4.
-2*(b - 2)*(b - 1)**2*(b + 1)
Suppose 411*s = -734073 + 737361. Factor -s - 48/5*n - 2/5*n**3 - 18/5*n**2.
-2*(n + 2)**2*(n + 5)/5
Suppose -4 = -2*b - 0. Let u be 9 - ((7 + 0 - (-6 - -8)) + 1). Solve 10 - 7*x**3 - x**3 - 24*x**b + 5*x + 14*x**2 + 3*x**u = 0.
-2, -1, 1
Factor -93/2*z + 0 - 1/4*z**2.
-z*(z + 186)/4
Let j(p) = -2*p**3 + 43*p**2 - 58*p + 39. Let k(w) = -w**2 - 1. Let t = -588 - -566. Let a(o) = t*k(o) - 2*j(o). Let a(b) = 0. Calculate b.
1, 14
Let j be (-2)/(-1 - (-2010)/2013). Let d be (-2)/15 + j/165. Factor 3*o - 20 - d*o**2 + 17*o + 3*o**2.
-5*(o - 2)**2
Let d = -4 - -1. Let z(h) = -24*h - 9. Let l be z(d). Solve 3*p**3 + 0*p**3 + 4*p**2 + 54 + 0*p**3 + l*p + 20*p**2 = 0.
-3, -2
Let v = 115 + -97. Determine q so that v - 61*q + 50*q**2 - 2