*y**2 - 3*y - 7. Let k be t(-3). Suppose -47*a**2 + 77*a**k - 798*a - 2*a**3 - 112*a**2 + 882 = 0. What is a?
-21, 1
Let 170*f**2 - 6*f**3 + 4936*f - 5074*f - 254*f**2 + 3*f**4 - 63 = 0. What is f?
-3, -1, 7
Suppose 44*y = 58*y. Let i(m) be the first derivative of 2/3*m**3 + 0*m + 25 + y*m**2 + 1/2*m**4. Factor i(t).
2*t**2*(t + 1)
Let y(p) be the first derivative of 5*p**3/3 - 9070*p**2 + 16452980*p + 3993. Solve y(u) = 0 for u.
1814
Let n(d) be the first derivative of d**6/480 + d**5/30 + d**4/6 - 18*d**2 - 38. Let s(m) be the second derivative of n(m). Suppose s(r) = 0. What is r?
-4, 0
Let p = -5934 + 5939. Let f(n) be the second derivative of -4/15*n**p + 0*n**2 - 25*n + 0 + 7/90*n**6 + 1/3*n**3 - 17/36*n**4. Factor f(l).
l*(l - 3)*(l + 1)*(7*l - 2)/3
Let b(m) be the first derivative of 9*m**2 - 15*m + 629. Let f be b(1). Factor -2/17*z**f - 6/17*z**2 - 4/17 + 10/17*z + 2/17*z**4.
2*(z - 1)**3*(z + 2)/17
Let u(b) be the third derivative of 0*b - 31/30*b**5 - 16*b**2 - 3 + 1/150*b**6 + 247/5*b**4 + 507/5*b**3. Factor u(j).
2*(j - 39)**2*(2*j + 1)/5
Let j(n) be the third derivative of 2*n**2 + 0 + 1/270*n**5 + 7/9*n**3 + 5*n - 5/54*n**4. Factor j(z).
2*(z - 7)*(z - 3)/9
Let r be (2 - (1 - 0)) + 1923 + -1921. What is j in 0 - 3/2*j**r - 1/2*j**4 + 0*j - j**2 = 0?
-2, -1, 0
Let q be 68/18 + (4316/234)/83. What is j in 5*j + 20/3 - 5*j**3 - 25/3*j**2 + 5/3*j**q = 0?
-1, 1, 4
Let o be -5 + -2 + 1 + (-594)/(-89 + -10). Factor -2/11*t**5 - 2*t**2 + 8/11*t - 2/11*t**4 + 18/11*t**3 + o.
-2*t*(t - 1)**3*(t + 4)/11
Let t = 323177 - 323173. Factor 4/5*q - 8/5*q**3 - 1/5*q**t - 3*q**2 + 4.
-(q - 1)*(q + 2)**2*(q + 5)/5
Let l(k) = 2*k**2. Let n(x) = -14*x**2 - 88*x - 968. Let v = 29 + -41. Let c(w) = v*l(w) - 2*n(w). Suppose c(d) = 0. What is d?
-22
Let y(x) be the second derivative of 3*x**5/20 - 23*x**4/2 - 99*x**3/2 + 216*x**2 + 12*x + 7. Determine r, given that y(r) = 0.
-3, 1, 48
Let z be (-784)/(-8) - (2 + -2 - -3). Let d = -47 + z. What is o in -d*o - 4*o**3 + 8 + 24 + 10*o**2 + 14*o**2 = 0?
2
What is l in 606 + 77*l**3 - 1171 - 201*l**2 + 637 - 62*l - 2*l**4 - 4*l**4 = 0?
-2/3, 1/2, 4, 9
Suppose 40*c - 213/2 - 3/2*c**2 = 0. What is c?
3, 71/3
Suppose 6*y = 5*y + 2. Suppose y*s = 6*s. What is h in 4328 + s*h + 0*h - 4331 + 3*h**2 = 0?
-1, 1
Let -620*a - 164*a**2 + 532*a + 4*a**3 - 1196*a - 76*a**2 - 1040 = 0. What is a?
-4, -1, 65
Let b(r) = -r**2 + 20*r + 182. Let s be b(-8). Let v = 45 + s. Determine c, given that 6/5*c**4 + 6/5 + 4/5*c**v - 12/5*c**2 - 2/5*c**5 - 2/5*c = 0.
-1, 1, 3
Suppose 0 = -20*m - 10*m + 17190. Let n = m - 8593/15. Factor -n + 2/15*h**2 - 2/15*h**3 + 2/15*h.
-2*(h - 1)**2*(h + 1)/15
Let r be -15 - 1 - (-114 - -68 - -28). Find h, given that -117*h**r + 210*h + 51/2*h**3 - 3/2*h**4 - 132 = 0.
2, 11
Let c(l) = 5 - 9*l**2 + 4*l**2 + 2*l**2 - 3 + 5*l. Let i(n) = -8*n**2 + 15*n + 7. Suppose 8 = -p + 5*p. Let f(s) = p*i(s) - 7*c(s). Factor f(v).
5*v*(v - 1)
Let y(m) be the third derivative of 0 - 1/2*m**3 + 3*m + 2*m**2 + 1/9*m**4 + 1/180*m**5. Find r, given that y(r) = 0.
-9, 1
What is s in -288/13 + 136/13*s**2 - 120/13*s + 2/13*s**4 - 30/13*s**3 = 0?
-1, 4, 6
Suppose 5*s + 250 = 10*s. Suppose -5*k + 4*k = -s. Find r, given that -38*r**3 + k*r**2 + 11 - 342*r**5 - 32*r - 3 + 14*r**4 + 340*r**5 = 0.
1, 2
Let s be (10/(-4))/(516/(-24) + 11 + 10). Let m(j) be the third derivative of -14*j**2 + 0*j**3 - 1/15*j**s + 0*j - 1/2*j**4 + 0. Factor m(l).
-4*l*(l + 3)
Let b be (-539)/(-245) + (-58)/30. Let -6/5*h**3 + 38/15*h + b*h**5 + 4/5 + 22/15*h**2 - 2/3*h**4 = 0. What is h?
-1, -1/2, 2, 3
Let j = -48 - -46. Let o = j - -9. Factor -3 + 8*a + o - 3*a + a**2.
(a + 1)*(a + 4)
Let h be (-228)/216*-6 - -3. Find g such that -4/3*g**2 - h*g**3 + 28/3*g + 4/3*g**4 + 0 = 0.
-1, 0, 1, 7
Factor 2/9*v**2 - 100/9 - 46/9*v.
2*(v - 25)*(v + 2)/9
Let a(x) be the second derivative of -1/4*x**3 + 19*x + 3/40*x**5 + 1/30*x**6 - 1/4*x**2 + 2 - 1/24*x**4. Find m such that a(m) = 0.
-1, -1/2, 1
Suppose 4*j + 6*z - 24 = 3*z, -2*j + 18 = 3*z. What is c in -16 + 52*c**j - 46*c**3 - c**4 - c**2 + 7 - 24*c - 7 = 0?
-1, 4
Let m be (-45)/(-60) - ((-6)/168*51 - -2). Determine i, given that -4/7*i**2 + m*i + 0 + 1/7*i**3 = 0.
0, 2
Let m(n) be the first derivative of -n**6/180 - 11*n**5/20 - 8*n**4/3 + n**3/3 - 15*n**2/2 - 132. Let b(q) be the third derivative of m(q). Factor b(t).
-2*(t + 1)*(t + 32)
Let q = -514 - -516. Let b(h) = -8*h**3 - 121*h**2 - 199*h + 96. Let l(v) = 3*v**3 + 40*v**2 + 66*v - 32. Let y(t) = q*b(t) + 7*l(t). Factor y(s).
(s + 4)**2*(5*s - 2)
Factor -81/2*n**4 + 3/4*n**5 + 315/4*n**3 + 0*n + 0 - 39*n**2.
3*n**2*(n - 52)*(n - 1)**2/4
What is v in 0 - 26/9*v**3 + 2/9*v**4 + 0*v - 32/3*v**2 = 0?
-3, 0, 16
Find h, given that -656/19 - 2/19*h**3 + 86/19*h**2 - 148/19*h = 0.
-2, 4, 41
Let c(b) be the second derivative of -b**8/1680 - b**7/126 - 2*b**6/45 - 2*b**5/15 + 151*b**4/12 - 64*b. Let f(r) be the third derivative of c(r). Factor f(o).
-4*(o + 1)*(o + 2)**2
Let b(d) be the first derivative of 1/2*d**4 + 3*d - 3/2*d**2 + 5/3*d**3 + 25. Let q(j) = -j**2 - j + 1. Let u(l) = -2*b(l) + 6*q(l). Factor u(c).
-4*c**2*(c + 4)
Let s = 62608925795/2586 - 24210721. Let c = 2/1293 + s. Find g, given that 1/4*g - c + 1/4*g**2 = 0.
-2, 1
Let w(k) be the third derivative of 0*k + 0*k**3 + 1/25*k**5 + 0 + 1/40*k**4 + 19*k**2. Let w(f) = 0. Calculate f.
-1/4, 0
Let m(p) be the first derivative of p**4/2 - 46*p**3/3 - 26*p**2 + 96*p - 452. Factor m(l).
2*(l - 24)*(l - 1)*(l + 2)
Suppose 2*m + s - 8 = 0, -124*m + 5*s - 22 = -125*m. Suppose -2/9*b**m + 16/9 + 14/9*b = 0. Calculate b.
-1, 8
Let b(h) be the second derivative of -h**7/105 - 406*h**6/75 - 41209*h**5/50 - 2*h + 1014. Factor b(p).
-2*p**3*(p + 203)**2/5
Factor -4/3*f + 2/9*f**2 - 32/9.
2*(f - 8)*(f + 2)/9
Let w = 968770/9 + -107641. Factor 1/3*a**3 + 0*a - w*a**4 + 4/9*a**2 + 0.
-a**2*(a - 4)*(a + 1)/9
Let l = 93 - 106. Let t(h) = -17*h**5 + h**4 + 9*h**3 - h**2 + 21*h - 13. Let p(j) = -8*j**5 + 4*j**3 + 10*j - 6. Let g(q) = l*p(q) + 6*t(q). Solve g(u) = 0.
-2, -1, 0, 1
Let t(a) = 2*a**3 + 70*a**2 + 238*a + 234. Let k(l) = 6*l**3 + 280*l**2 + 949*l + 933. Let b(y) = -4*k(y) + 18*t(y). Factor b(c).
4*(c + 4)*(c + 6)*(3*c + 5)
Let i = -2204/217 - -368/31. Determine a, given that 16/7*a + 4/7*a**2 + i = 0.
-3, -1
Let v(r) = -r**3 + 27*r**2 + 28*r + 5. Let q be v(28). Factor 101 - 31 - 33 - 27 + q*h**2 + 15*h.
5*(h + 1)*(h + 2)
Let p = -2/24485 - 146192/8790115. Let n = p - -407/2872. Factor -1/4*x + 0 + n*x**2.
x*(x - 2)/8
Solve -49284 - 1601*g**3 - 25530*g - 169*g**2 - 1599*g**3 - 279*g**2 + 3198*g**3 = 0 for g.
-111, -2
Let m(u) be the second derivative of u**7/294 + u**6/210 - u**5/28 - 5*u**4/84 + 2*u**3/21 + 2*u**2/7 - 668*u. Let m(d) = 0. What is d?
-2, -1, 1, 2
Suppose -5*f + 101 = 4*c, -28*c + 26*c = -f + 9. Determine x so that 289/2*x - f*x**2 - 144*x**3 + 17*x**4 - 1/2*x**5 + 0 = 0.
-1, 0, 1, 17
Factor 800 + 16/5*h**3 - 16*h**2 - 320/3*h - 2/15*h**4.
-2*(h - 10)**3*(h + 6)/15
Let d = -4/9581 + 9657/182039. Let n(b) be the first derivative of -3/38*b**4 - d*b**2 + 2/19*b**3 - 18 + 2/95*b**5 + 0*b. Factor n(c).
2*c*(c - 1)**3/19
Factor -7072/3*i + 21632/9 - 46*i**2 - 2/9*i**3.
-2*(i - 1)*(i + 104)**2/9
Let u(r) = -3*r - 15*r**2 - 13*r**2 - 8*r - 13 + 32*r**2 + 3. Let m(w) = 5*w**2 - 11*w - 12. Let d(s) = -5*m(s) + 6*u(s). Factor d(a).
-a*(a + 11)
Suppose m - 7 = x, m + 5*x + 12 = 7. Factor 54*q - m + 185 - 49*q + 5*q**3 - 55*q**2 + 115*q.
5*(q - 6)**2*(q + 1)
Let m(r) = 6*r - 184. Let x be m(31). Solve -1151*s**2 - 12*s - 1151*s**2 + 10 + 2304*s**x = 0 for s.
1, 5
Let y(c) be the third derivative of c**6/24 - 13*c**5/12 + 35*c**4/4 + 2*c**2 + 5*c - 44. Factor y(g).
5*g*(g - 7)*(g - 6)
Let x = -613007 - -613010. Factor 2/9*j**x + 0 - 2/9*j**2 - 4/9*j.
2*j*(j - 2)*(j + 1)/9
Let j(n) be the first derivative of -2/15*n**5 + 2/9*n**3 + 1/36*n**6 - 1/24*n**4 + 32 + 0*n + 0*n**2. Factor j(m).
m**2*(m - 4)*(m - 1)*(m + 1)/6
Let p(b) be the third derivative of -b**7/420 - b**6/20 - 7*b**5/40 - 5*b**4/24 - 618*b**2. Factor p(w).
-w*(w + 1)**2*(w + 10)/2
Let k(n) be the first derivative of -5*n**4/14 + 32*n**3/21 + 41*n**2/7 + 40*n/7 - 3094. Let k(q) = 0. What is q?
-1, -4/5, 5
Suppose -5*d - 3*o - 25 