u - 3. Suppose -8*b**2 + l + 4*b**4 + 3 + 3 - 5 = 0. Calculate b.
-1, 1
Let m = -959/3 - -320. Let v(z) be the second derivative of 0*z**2 - 5*z + m*z**3 - 1/10*z**6 + 0 - 1/10*z**5 + 1/4*z**4. Solve v(l) = 0 for l.
-1, -2/3, 0, 1
Let m = 20655 + -144567/7. Factor m*f + 27/7*f**2 + 3/7.
3*(3*f + 1)**2/7
Let h(s) be the first derivative of 3*s**5/5 - 3*s**4/2 - 27*s**3 - 78*s**2 - 84*s - 204. Factor h(q).
3*(q - 7)*(q + 1)*(q + 2)**2
Suppose 32/11*s**2 - 2/11*s**4 + 4/11*s**3 - 64/11*s + 0 = 0. Calculate s.
-4, 0, 2, 4
Let i = -335 + 337. Let n(t) be the first derivative of -5/4*t**4 + 15*t + 5/2*t**i - 5*t**3 + 11. Determine l so that n(l) = 0.
-3, -1, 1
Let q(y) be the second derivative of -y**5/10 - 2*y**4 + 28*y**3/3 + 26*y - 1. Factor q(s).
-2*s*(s - 2)*(s + 14)
Let a be (3000/(-875) + 1 + -1 + 3)*-7. Factor -21/4*v - 1/4*v**3 - 5/2 - a*v**2.
-(v + 1)**2*(v + 10)/4
Let r be (1 + -4)*4/(-24). Let w = r - 0. Find t, given that -3/4*t + w - 1/2*t**2 = 0.
-2, 1/2
Let g(p) be the second derivative of -p**5/160 + p**4/32 - 3*p**2 + 2*p. Let k(a) be the first derivative of g(a). Suppose k(d) = 0. What is d?
0, 2
Let f(i) be the second derivative of -i**4/36 - i**3/3 - 5*i**2/6 - 65*i. Let f(q) = 0. Calculate q.
-5, -1
Let c(k) be the third derivative of -k**7/42 + k**6/3 - k**5/2 - 5*k**4/3 + 35*k**3/6 - 65*k**2. Factor c(l).
-5*(l - 7)*(l - 1)**2*(l + 1)
Suppose u - 31 = -4*x, 2*x + 2*u = -x + 27. Suppose -x*r + 3 + 11 = 0. Factor -2/5*i - 1/5*i**4 + 1/5 + 2/5*i**3 + 0*i**r.
-(i - 1)**3*(i + 1)/5
Let a = 29698 + -29693. Find t such that -4/9 - 40/9*t**a + 62/9*t**3 - 10/9*t**2 + 14/9*t**4 - 22/9*t = 0.
-1, -2/5, -1/4, 1
Let m(c) = c**2 + 1. Let t(y) = -y**3 + 46*y**2 - 440*y + 405. Let v(h) = 5*m(h) - t(h). Factor v(d).
(d - 20)**2*(d - 1)
Let n(g) be the first derivative of -2*g**5/5 - 4*g**4 - 46*g**3/3 - 28*g**2 - 24*g - 67. Solve n(f) = 0 for f.
-3, -2, -1
Let v(q) be the first derivative of -q**3/3 + 3*q**2/2 + 4*q + 186. Find k such that v(k) = 0.
-1, 4
Find i such that 110 - 5/4*i**2 - 105/2*i = 0.
-44, 2
Let u = -473 + 1421/3. Let z(t) be the third derivative of -1/30*t**5 - t**2 + 0*t + u*t**3 + 0 - 1/12*t**4. Let z(q) = 0. What is q?
-2, 1
Let c(b) be the first derivative of 3*b**4/32 - 7*b**3/4 + 147*b**2/16 + 178. Factor c(z).
3*z*(z - 7)**2/8
Let t be (2/3)/((-4)/12). Let b be 6/t + 1 + 4. Find x such that -3*x**b + 4*x**3 - x**3 - x - 5*x**3 = 0.
-1, -1/2, 0
Let t(d) be the second derivative of -1/12*d**5 + 0*d**2 + 0*d**4 - 13*d + 0 + 0*d**3. Factor t(g).
-5*g**3/3
Let h = 605 - 877. Let k = -814/3 - h. Solve k - 2/3*n**2 + 0*n = 0 for n.
-1, 1
Let u = -234 + 237. Let w(q) be the third derivative of 0 - 5*q**2 + 0*q + 1/70*q**7 + 0*q**u + 0*q**4 - 1/20*q**5 + 0*q**6. Factor w(d).
3*d**2*(d - 1)*(d + 1)
Suppose 3*f = -3*p + 147, 2*f + 0*f - 102 = 2*p. Let v be ((-112)/f - -2)/(3/(-5)). Factor -2/5*y + v*y**2 - 2/5 + 2/5*y**3.
2*(y - 1)*(y + 1)**2/5
Let u(q) be the first derivative of 16/27*q**3 + 17 + 16/9*q**2 + 0*q + 1/18*q**4. Factor u(l).
2*l*(l + 4)**2/9
Find x, given that -15/8 + 1/4*x + 1/2*x**3 + 21/8*x**2 = 0.
-5, -1, 3/4
Let i be -4 + (1 - (-51)/(-45) - 552/(-90)). Factor 14/5*p - 6*p**i + 0 + 18/5*p**3 - 2/5*p**4.
-2*p*(p - 7)*(p - 1)**2/5
Let p = 3 + 1. Let c = 189 + -187. Suppose -192*a**p + 32*a**5 + 194*a**3 + 48*a**4 - 91*a**2 + 8*a + 19*a**c = 0. Calculate a.
0, 1/4, 2
Let n(h) = -11*h**3 + 5*h**2 + 6*h + 5. Let r(f) = 39*f**3 - 18*f**2 - 21*f - 18. Let q(d) = 8*d + 2. Let a be q(2). Let g(w) = a*n(w) + 5*r(w). Factor g(s).
-3*s*(s - 1)*(s + 1)
Suppose 2/7*a**3 - 8/7*a + 0*a**2 + 0 = 0. Calculate a.
-2, 0, 2
Let l(f) = 37*f**3 - 34*f**2 + 11*f + 22. Let k(q) = 35*q**3 - 35*q**2 + 10*q + 20. Let o(z) = -6*k(z) + 5*l(z). Factor o(b).
-5*(b - 1)**2*(5*b + 2)
Let l be ((-1073)/5365)/(1*1*-1). Factor 2/5 - l*d**5 + 4/5*d**3 - 2/5*d**2 - 3/5*d + 0*d**4.
-(d - 1)**3*(d + 1)*(d + 2)/5
Let j(n) be the third derivative of n**6/240 + n**5/24 - 7*n**4/24 - 172*n**2. Factor j(k).
k*(k - 2)*(k + 7)/2
Factor -n**2 - 57*n + 32*n + 29*n.
-n*(n - 4)
Let n(c) be the first derivative of 0*c**4 - 1/9*c**3 + 1/720*c**6 + 1/120*c**5 + 0*c - 4*c**2 + 6. Let o(k) be the second derivative of n(k). Factor o(y).
(y - 1)*(y + 2)**2/6
Let g(j) = 3*j - 4. Let v be g(2). Let q(y) be the third derivative of 1/60*y**5 - 1/12*y**4 + 0 + 0*y**3 + 0*y - 6*y**v. Let q(i) = 0. What is i?
0, 2
Let z(h) be the first derivative of 1/7*h**3 + 0*h + 3/35*h**5 + 0*h**2 + 2 - 3/14*h**4. Factor z(p).
3*p**2*(p - 1)**2/7
Let w = 40 - 38. Solve 0 + 0 + 2*o**2 - 4*o**4 + w*o**2 = 0 for o.
-1, 0, 1
Let r = 2/7657 + 30614/53599. Factor -2/7*m**3 + 0*m**2 + 6/7*m + r.
-2*(m - 2)*(m + 1)**2/7
Let j(v) = -82*v**4 + 120*v**3 - 45*v**2 + 7*v + 2. Let h(l) = -l**4 + l + 1. Let a = 20 + -18. Let z(f) = a*h(f) - j(f). Factor z(m).
5*m*(m - 1)*(4*m - 1)**2
Suppose 6*s + 2 - 32 = 0. Let w(j) be the second derivative of -5/54*j**4 - 8/27*j**3 - 3*j - 4/9*j**2 - 1/90*j**s + 0. Factor w(u).
-2*(u + 1)*(u + 2)**2/9
Let f(a) be the first derivative of a**3/3 - 3*a**2 + 8*a - 567. Determine s so that f(s) = 0.
2, 4
Let 216/7*y**3 + 0 + 6/7*y**5 + 66/7*y**4 - 384/7*y + 96/7*y**2 = 0. What is y?
-4, 0, 1
Let f be -2*-2*1/2. Suppose 3*x - 3*b - 4 = f, 2*x - 4 = 5*b. Find a such that -6*a**4 + 3*a**3 + 3*a**5 + 2*a - x*a = 0.
0, 1
Let t(z) = -z**2 - 49*z + 3. Let x be t(-49). Factor 0*c - 4/7*c**2 + 2/7 + 0*c**x + 2/7*c**4.
2*(c - 1)**2*(c + 1)**2/7
Let z be (1 + (-1)/(-2))*(-28)/(-21). Factor -8*s**2 + 2*s**3 + z*s**3 - s**3 - 5*s**3.
-2*s**2*(s + 4)
Let r = -3743 + 26203/7. Suppose r*q + 0 + 2/7*q**2 = 0. Calculate q.
-1, 0
Suppose -5*z + 395 = 5*q, -4*q = 4*z - 2*q - 312. Factor 9*g + 24 + 2*g**2 + 24 - 9*g**3 - z + 27.
-(g - 1)*(g + 1)*(9*g - 2)
Let u = 7193 - 50350/7. Determine o so that -2/7 + 2/7*o**2 + u*o**3 - 1/7*o = 0.
-2, -1, 1
Suppose -4*m = 3*m. Find o, given that -7*o**2 + 13*o**2 + m*o - 2 + 6*o**2 + 7*o**3 + 3*o = 0.
-1, 2/7
Let t(o) be the second derivative of o**6/6 - 55*o**4/6 - 20*o**3 + 225*o**2/2 - 5*o - 15. Solve t(v) = 0 for v.
-3, 1, 5
Let t = -11 - -18. Suppose -17 = -8*p + t*p. Factor 0*s - s + s**2 + 17 - p.
s*(s - 1)
Factor 26/9 - 2/9*f**2 - 8/3*f.
-2*(f - 1)*(f + 13)/9
Let s be (-3)/6*10 - (-140)/(-300)*-12. Determine d, given that 52/5*d + s*d**3 - 1/5*d**5 + 34/5*d**2 + 24/5 - 4/5*d**4 = 0.
-2, -1, 3
Let o(y) be the second derivative of 0 + 1/240*y**6 + 0*y**3 + 0*y**4 + 3*y - 4*y**2 + 1/30*y**5. Let p(t) be the first derivative of o(t). Solve p(q) = 0.
-4, 0
Let z be 1*7/(-35)*30/(-4). Factor -3*d**2 - 135/8*d**3 + z*d + 0.
-3*d*(5*d + 2)*(9*d - 2)/8
Suppose -11 + 7 = -2*m. Factor -f**m - 5*f**4 + 8*f**2 - 2*f**2.
-5*f**2*(f - 1)*(f + 1)
Let m(a) be the second derivative of 4*a**6/135 + 11*a**5/90 + a**4/6 + a**3/27 - a**2/9 - 22*a - 4. Factor m(l).
2*(l + 1)**3*(4*l - 1)/9
Factor 9*c**2 + 29*c**4 + 24*c**4 - 50*c**4 + 12*c**3.
3*c**2*(c + 1)*(c + 3)
Let g(p) = 10*p**3 - 45*p**2 - 225*p - 320. Let f(n) = -n**3 - n - 29*n**2 + 0*n + 28*n**2. Let z(q) = -15*f(q) - g(q). Factor z(c).
5*(c + 4)**3
Suppose 13*o = 15*o - 10. Let z(t) be the first derivative of 2 - 1/10*t**o - t - 1/4*t**2 + 1/8*t**4 + 1/2*t**3. Find q such that z(q) = 0.
-1, 1, 2
Let x be (1 - (-4)/(-2))/((-220)/(-495))*-2. Let -1 - 3*z**4 - 1/2*z**5 - x*z - 8*z**2 - 7*z**3 = 0. What is z?
-2, -1
Suppose -91*d - 174 = -149*d. Let l(z) be the third derivative of 0*z + 12*z**2 - 1/45*z**5 + 4/9*z**d + 0 + 1/18*z**4. Find s such that l(s) = 0.
-1, 2
Let u(x) be the first derivative of -2*x**3/15 + 82*x**2/5 - 3362*x/5 - 225. Factor u(i).
-2*(i - 41)**2/5
Let b = 69 - 171. Let a = b + 512/5. Factor -6/5*u**2 - 2/5 + a*u**3 + 6/5*u.
2*(u - 1)**3/5
Solve -52*s**2 + 71 + 6*s + 14*s + 47*s**2 + 59 - 25 = 0 for s.
-3, 7
Let u(n) be the third derivative of -7*n**5/300 - 31*n**4/12 - 44*n**3/15 + 8*n**2 - 7. Factor u(r).
-(r + 44)*(7*r + 2)/5
Suppose 20 = 3*x + 7*x. Suppose 2*h - r - x = -5*r, -5*r = -2*h + 11. Let -1/3*o**2 - 4/3*o + 4/3*o**h + 1/3 = 0. What is o?
-1, 1/4, 1
Let y(f) be the third derivative of -f**7/350 - f**6/20 - 7*f**5/25 - 3*f**4/5 - 286*f**2. Factor y(p).
-3*p*(p + 2)**2*(p + 6)/5
Let k = 14 - 12. Factor 2*j**3 + j**2 - 3*j**3 + j**k.
-j**2*(j - 2)
Determine r, given that 8/