 Let v = k - 567. Let 4/11*q**3 + 0*q**2 + 0 + 0*q + 2/11*q**v = 0. Calculate q.
-2, 0
Let w = 272 + -190. Let d = 86 - w. Factor -14*q - q**2 + 14*q - d*q**2 - 15*q.
-5*q*(q + 3)
Suppose -3 + 5 = 2*y. Let l(v) = 3*v**3 - 4*v**2 + 4*v - 1. Let o be l(y). Find p such that 8*p - 8*p**3 + p**2 + 7*p**4 - 3*p**4 - 7*p**2 + 2*p**o = 0.
-1, 0, 1, 2
Suppose -4*b + 2*c + 9 = -21, 3*b - 5*c = 26. Let r = b - 3. Find g, given that -8*g - 10*g**2 + 7*g**3 + 0*g**3 + r*g + 7*g**3 = 0.
-2/7, 0, 1
Let u(i) be the first derivative of 3/10*i**5 + 0*i + 0*i**2 - 6*i**3 - 43 - 33/8*i**4. Factor u(o).
3*o**2*(o - 12)*(o + 1)/2
Let n be (26 + (-9438)/364)/(536/(-112) - (-5)/1). Factor -2/3*o - n*o**2 + 8.
-(o - 4)*(o + 6)/3
Let x(l) be the first derivative of 0*l + 0*l**2 + 1/360*l**6 + 13/3*l**3 + 11 - 1/120*l**5 + 0*l**4. Let z(g) be the third derivative of x(g). Solve z(j) = 0.
0, 1
Suppose 0 = -6*r - 5*r + 33. Suppose 4*t = -0 + 12. Factor -3*a**t + r - 12*a + 6*a**2 + 7*a**2 + 3*a - 4*a**2.
-3*(a - 1)**3
Let r = -5 - -8. Let p(s) = 60*s - 104. Let w be p(2). Find f such that -26*f**r + w + 7*f**2 + 36*f + 17*f**2 + 30*f**3 = 0.
-4, -1
Let z(k) be the second derivative of k**5/4 - 25*k**4/3 - 815*k**3/6 + 455*k**2 + 11*k + 74. Determine i so that z(i) = 0.
-7, 1, 26
Let d(o) be the second derivative of -9*o - 1/6*o**4 - 17 + 31/3*o**3 - 30*o**2. Determine n so that d(n) = 0.
1, 30
Let m(s) = -46*s**2 + 223*s**3 + 2 + 62*s**2 - 219*s**3. Let q be m(-4). Determine h, given that 4/11*h - 18/11*h**q + 0 = 0.
0, 2/9
Let f be 1/(1/13) + -3. Let i be (-4)/(-3) - 16/(-24). Let x(r) = -3*r**3 + 4*r**2 + 3*r - 9. Let n(p) = p**3 - p + 1. Let c(m) = f*n(m) + i*x(m). Factor c(l).
4*(l - 1)*(l + 1)*(l + 2)
Let b = 105 - 88. Determine a so that -3*a**2 + 2*a**2 + 17 - 7 + b*a - 8*a = 0.
-1, 10
Suppose a - 48*l = -52*l + 39, 3*l = 5*a + 12. Suppose -q = 3*y - 7, 3*q - 11 = -y - 3*y. Factor j**4 + 7/2*j**a + 5/2*j + 1/2 + 9/2*j**y.
(j + 1)**3*(2*j + 1)/2
Let c be (-1712)/(-2080) - (-1)/13. Factor -c - 4/5*n + 1/10*n**2.
(n - 9)*(n + 1)/10
What is u in 0 + 2/5*u**2 + 262/5*u = 0?
-131, 0
Suppose 16*o + 66 = 17*o + 4*h, 0 = -5*o - h + 254. Factor 66*p**3 - 89*p**2 - 146*p**2 + o*p**2 - 71*p**3 - 1620 - 1800*p.
-5*(p + 1)*(p + 18)**2
Let x(d) = -6*d**3 - 324*d**2 + 27555*d - 27246. Let f(y) = -5*y**3 - 325*y**2 + 27555*y - 27243. Let v(w) = 7*f(w) - 6*x(w). Find b, given that v(b) = 0.
1, 165
Factor 78208*x - 156410*x - 24*x**2 - 9*x**3 + 6*x**4 + 3*x**5 + 78190*x.
3*x*(x - 2)*(x + 1)**2*(x + 2)
Suppose 2*c = -0*c + 2*n + 26, 4*n + 40 = 3*c. Suppose 0 = 5*b - 7*b + c. Factor 0 + 0 + b*h**2 - 2*h**4 + 80*h - 84*h.
-2*h*(h - 1)**2*(h + 2)
Let w = 158226/7 - 22648. Let v = -44 - w. Factor v*u**2 - 20/7*u + 50/7.
2*(u - 5)**2/7
Suppose -35*s + 942 = 279*s. Factor s*f**2 + 27/7 - 45/7*f - 3/7*f**3.
-3*(f - 3)**2*(f - 1)/7
Let p be 9 + 500/(-60) - (5/2 + 5106/(-252)). Let p*o**2 - 12 + 36/7*o + 9/7*o**3 = 0. Calculate o.
-14, -1, 2/3
Let n(u) be the first derivative of 25*u**6/6 - 11*u**5 - 15*u**4/4 + 55*u**3/3 - 5*u**2 + 247. Find q such that n(q) = 0.
-1, 0, 1/5, 1, 2
Let l = -7996 + 7998. Let a(v) be the second derivative of 35/6*v**3 - 25/2*v**2 + 0 - 11/12*v**4 + 1/20*v**5 - l*v. Factor a(k).
(k - 5)**2*(k - 1)
Let s(o) = o**2 + 5. Let n(v) = 2. Let u = -101 - -98. Let m be 2/12*u + (-9)/6. Let t(l) = m*s(l) + 5*n(l). Let t(b) = 0. What is b?
0
Suppose -10*r - 12*r + 110 = 0. Suppose 36*z - 58*z**5 + 12*z**2 - 66*z**5 - 18*z**4 + 183*z**r - 27*z**3 - 62*z**5 = 0. What is z?
-3, -2, 0, 1
Let i = 129 - 142. Let w(o) = o**2 + 17*o + 54. Let x be w(i). Suppose -3/8*f**5 + 0*f**x + 0*f + 0*f**4 + 3/8*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Suppose 1011*k - 1603*k**3 - 526*k + 1598*k**3 - 150*k**2 - 330 = 0. Calculate k.
-33, 1, 2
Let g be (3 - 5)*(-8 - -7). Solve 23*u**2 + 20*u - 10*u**2 - 18 - 5*u**g - 10*u**2 = 0.
1, 9
Let i be (1 - -2)/15 - 36/30. Let h be (10 + -18)/(1/i). Factor -6*v**2 - v**4 - 6*v**2 + 5*v**4 - h*v.
4*v*(v - 2)*(v + 1)**2
Let i(m) = -12*m**3 - 89*m**2 - 60*m + 17. Let g be -3*(-2)/33 - 11280/330. Let f(n) = 2*n**3 + 15*n**2 + 10*n - 3. Let z(p) = g*f(p) - 6*i(p). Factor z(y).
4*y*(y + 1)*(y + 5)
Let m = -522/13 - -1709/39. Factor m - 4*r + 1/3*r**2.
(r - 11)*(r - 1)/3
Let q(k) = 7*k**2 + 38*k + 11. Let y(u) = -u**2 + 2*u - 1. Let v(z) = -q(z) - 3*y(z). Let w(c) = c**2 + 15*c + 3. Let x(f) = -3*v(f) - 8*w(f). Factor x(r).
4*r*(r + 3)
Let n = 0 + 2. Suppose -7 + 15 = n*w. Determine q so that -4*q**w - 4 - 16*q**3 - 3*q**5 - q**5 + 24*q**3 - 4*q + 8*q**2 = 0.
-1, 1
Determine q so that 34680 + 17748*q + 3/5*q**3 + 1026/5*q**2 = 0.
-170, -2
Let n(u) be the second derivative of -44*u**2 + 139*u + 0 + 6*u**3 + 1/3*u**4. Suppose n(z) = 0. Calculate z.
-11, 2
Let u be 2/(-4) + (-71)/(-2) + -3. Let p = 123 + -121. What is f in -340 + 332 - 38*f**3 - 2*f**5 - 28*f**p - u*f - 22*f**2 - 14*f**4 = 0?
-2, -1
Let w(d) = -7*d**2 + 31*d + 46. Let f(i) = -130 - 191 + 81*i**2 - 219*i - 33*i**2. Let l(o) = 4*f(o) + 27*w(o). Let l(j) = 0. Calculate j.
-1, 14
Suppose -4*f + 22 = 3*s, 2*s - 2*f = 3*f - 16. Factor 42*c + 16*c**3 - 40*c + 78*c - 14*c**3 + 96 + 22*c**s.
2*(c + 3)*(c + 4)**2
Suppose 7*g = 30*g - 20562. Find n, given that -2*n**3 - g*n**2 + 894*n**2 = 0.
0
Let j(u) be the first derivative of -u**6/18 - u**5/3 - 2*u**4/3 - 4*u**3/9 - 427. Factor j(w).
-w**2*(w + 1)*(w + 2)**2/3
Factor -16*q**2 + 6 + 3*q**2 + 7*q**2 - 4*q - 4*q**2 + 10 - 2*q**3.
-2*(q - 1)*(q + 2)*(q + 4)
Let y be ((-14352)/(-32))/(-39) + (13 - 0). What is x in y*x + 0 - 3*x**4 + 3*x**2 + 0*x**3 - 3/2*x**5 = 0?
-1, 0, 1
What is q in -2*q**4 + 144*q**2 - 1415 - 37*q**3 - 103*q**3 + 140*q + 2877 - 1604 = 0?
-71, -1, 1
Suppose 7562*f - 2617898 - 1193350 = 0. Find v such that -2/7*v**2 - f - 24*v = 0.
-42
Let l(w) be the second derivative of -w**7/315 + w**6/90 - w**5/90 - 13*w**2 + 77*w. Let q(d) be the first derivative of l(d). Factor q(b).
-2*b**2*(b - 1)**2/3
Let o(c) be the third derivative of 2*c**7/105 + 31*c**6/30 + 5*c**5/3 - 49*c**4/2 + 60*c**3 - 91*c**2. Determine h, given that o(h) = 0.
-30, -3, 1
Factor 207*z + 209*z - 511*z + 5*z**2 + 235*z + 900.
5*(z + 10)*(z + 18)
Let n(d) = -7*d**3 - 99*d**2 - 188*d - 2. Let f(s) = -8*s**3 - 96*s**2 - 187*s - 3. Let j(w) = -2*f(w) + 3*n(w). Find x, given that j(x) = 0.
-19, -2, 0
Suppose 3*j = 3, 3*l + j - 11 = -4*j. Solve 93*i**3 - 12*i + 3 + 0 + 95*i**3 - 176*i**3 - 3*i**l = 0.
-1, 1/4, 1
Let p(w) = 2*w**3 - 9*w**2 - 54*w - 44. Let l(q) = 11*q**3 - 56*q**2 - 322*q - 264. Let h(v) = -6*l(v) + 34*p(v). Factor h(r).
2*(r + 2)**2*(r + 11)
Let q be ((-12)/(-7))/(32/(-112)). Let i(z) = -z**2 - 15*z - 20. Let k be i(q). Let -87*n**2 - 17*n**2 + 2 + k*n + 66*n**3 + 2 = 0. Calculate n.
-1/11, 2/3, 1
Let t = 16099 - 209281/13. Let a(i) be the first derivative of -2/13*i**2 + t*i - 2/39*i**3 + 8. What is q in a(q) = 0?
-3, 1
Suppose 1007 - 466 = 871*x - 1201. Factor -1/4*h**3 + 3/4 - 3/4*h**x + 1/4*h.
-(h - 1)*(h + 1)*(h + 3)/4
Factor -6*g + 4*g**2 - g**2 - 14 + 12 - 2*g**2 + 7.
(g - 5)*(g - 1)
Let -12675/2*d**2 - 9/2*d**3 - 2814 - 8444*d = 0. What is d?
-1407, -2/3
Let i(y) be the second derivative of -7/10*y**5 - 32*y + 0 + 0*y**2 - 4/9*y**3 - 4/45*y**6 - 7/6*y**4. Let i(g) = 0. What is g?
-4, -1, -1/4, 0
Let u = 3837 + -3835. Let h = 16/5 + -12/5. Suppose 0 + 0*b + 16/5*b**u - h*b**3 = 0. What is b?
0, 4
Let x be ((-8478)/216 - -39)/((-1)/145). Let -1/4*m**5 - x*m + 9/2*m**3 + 5/4*m**4 - 75/4 - 29/2*m**2 = 0. Calculate m.
-3, -1, 5
Let i(d) be the first derivative of -4/7*d**3 + 34 - 11/7*d**2 - 1/14*d**4 - 12/7*d. Let i(h) = 0. What is h?
-3, -2, -1
Suppose 0 = -1348367*a + 1348224*a. Let 40/3*d**2 + 4/3*d**3 + a*d + 0 = 0. Calculate d.
-10, 0
Let r(o) be the first derivative of -o**6/30 + 76*o**5/25 + 77*o**4/20 - 157. What is i in r(i) = 0?
-1, 0, 77
Let k = -960/209 + 8392/1463. Let 26/7*r + k*r**3 + 6/7 + 32/7*r**2 = 0. What is r?
-3, -1/2
Let n(x) be the second derivative of 55/3*x**3 + 0 - 605/2*x**2 - 5/12*x**4 + 25*x. Suppose n(y) = 0. What is y?
11
Suppose 64 = -3*z + 4*r, 6341*z + 5*r - 80 = 6343*z. Let 0 + 4/3*q**3 + 4/3*q**2 + z*q = 0. Calculate q.
-1, 0
Determine n so that -186 - 3/2*n**2 - 96*n = 0.
-62, -2
Let m(v) be the third derivative of -v**6/