25*q**4/12 - 42*q. Let v(f) be the third derivative of g(f). Let v(s) = 0. Calculate s.
-4, -2, 0
Let i = 33727/6 - 5621. Solve -1/3*d + 0 - i*d**2 = 0.
-2, 0
Let f(n) be the third derivative of n**7/735 - n**6/840 - 3*n**5/140 + n**4/42 + 2*n**3/21 - 41*n**2 - 2. Suppose f(b) = 0. What is b?
-2, -1/2, 1, 2
Let h(m) be the first derivative of -5*m**4/4 + 1415*m**3/3 - 49700*m**2 - 100820*m - 340. Factor h(n).
-5*(n - 142)**2*(n + 1)
Let d = -549 + 552. Let v(c) be the first derivative of 1/10*c**5 + 12 - 1/2*c**2 + 5/6*c**d - 1/2*c**4 + 0*c. Factor v(g).
g*(g - 2)*(g - 1)**2/2
Let l(n) be the first derivative of 0*n**4 - 3/5*n**2 - 17 - 3/25*n**5 + 0*n + 3/5*n**3. Factor l(h).
-3*h*(h - 1)**2*(h + 2)/5
Let a(j) be the first derivative of 147*j**4/4 + 35*j**3 + 9*j**2 - 152. Factor a(m).
3*m*(7*m + 2)*(7*m + 3)
Let d(i) = 28 + 17 - 6*i**2 + 36*i - 3*i**2. Let g(j) = -3*j**2 + 12*j + 15. Let l(s) = 6*d(s) - 17*g(s). Find m, given that l(m) = 0.
-1, 5
Suppose -375*t + 55 = 5*q - 370*t, -3*q + 3*t - 15 = 0. Find a, given that 3/5*a**2 - 6/5 + 3/5*a**4 - 9/5*a + 9/5*a**q = 0.
-2, -1, 1
Let g(w) be the second derivative of 13*w**6/30 + 17*w**5/20 + w + 2. Suppose -y + 1 = 3. Let f(v) = 3*v**4 + 4*v**3. Let i(r) = y*g(r) + 9*f(r). Factor i(s).
s**3*(s + 2)
Let m(n) be the third derivative of 0 + 0*n**7 - 22*n**2 - 1/2688*n**8 + 0*n**3 + 1/960*n**6 + 0*n**4 + 0*n + 0*n**5. Find w, given that m(w) = 0.
-1, 0, 1
Suppose -2*t + 0*t + 6 = 0. Suppose -t*b = -3*b + b. What is l in b + 1/4*l**5 + 0*l + 0*l**4 - 1/4*l**3 + 0*l**2 = 0?
-1, 0, 1
Let x be 18/21 - (-8 + (-222)/(-63)). Factor -8*i - 2/3*i**3 + 4*i**2 + x.
-2*(i - 2)**3/3
Let n be ((-84)/(-98))/(27/42). Determine j so that -n*j + 4/3 + 1/3*j**2 = 0.
2
Let w(q) be the third derivative of -q**5/170 - 233*q**4/102 + 104*q**3/17 - 2*q**2 - 74. Factor w(f).
-2*(f + 156)*(3*f - 2)/17
Let o(m) be the first derivative of -m**7/30 - 2*m**6/15 - m**5/10 + m**4/3 - 19*m**3 - 18. Let r(k) be the third derivative of o(k). Factor r(l).
-4*(l + 1)**2*(7*l - 2)
Let z(a) be the first derivative of -2*a**6/3 + 2*a**4 - 2*a**2 - 7. Find d such that z(d) = 0.
-1, 0, 1
Determine b, given that -52*b**2 - 14*b**4 - 10*b**3 + 27*b**4 + 40*b - 2*b**3 + 7*b**4 + 4*b**5 = 0.
-5, -2, 0, 1
Let w(i) = -272*i + 819. Let j be w(3). Find c such that 1/4*c**j - 1/4*c + 1 - c**2 = 0.
-1, 1, 4
Determine i so that -3/5*i**4 - 3/5*i**2 + 72/5*i - 18/5*i**3 - 48/5 = 0.
-4, 1
Let s be (-12)/(-9)*6/2. Suppose -3 + 67 = s*a. Factor 60*o - a*o**3 + 126*o**2 + 95*o**3 - 24 - 10*o**3 + 12*o**4.
3*(o + 2)**3*(4*o - 1)
Let p(s) be the first derivative of s**7/420 + s**6/180 - s**5/10 + 5*s**3 - 39. Let t(j) be the third derivative of p(j). Find u, given that t(u) = 0.
-3, 0, 2
Let d be -2 + 10/4 - 66/44. Let s be (0/(-2))/(2*d). Find f such that 0 + 1/2*f**5 - 1/2*f**4 + 0*f + s*f**3 + 0*f**2 = 0.
0, 1
Let c be (-288)/(-66) + 1 + -5. Let a be (2/(-5))/(473/(-1505)). Suppose c + 18/11*d + a*d**2 = 0. Calculate d.
-1, -2/7
Let t(v) = -7*v**2 + 74*v - 2. Let u(l) = -85*l**2 + 885*l - 25. Let s(o) = 25*t(o) - 2*u(o). Factor s(x).
-5*x*(x - 16)
Let t = 2/279 + 20/93. Let r(z) be the third derivative of -9*z**2 + 0*z + 5/36*z**4 + 1/30*z**5 + t*z**3 + 0. Factor r(y).
2*(y + 1)*(3*y + 2)/3
Factor -70/3*f + 80/3 + 5*f**2.
5*(f - 2)*(3*f - 8)/3
Let r(d) be the first derivative of -d**3/3 - 12*d**2 - 144*d - 76. What is z in r(z) = 0?
-12
Let q = 14 - 12. Factor -21*x - 8*x**2 + 2*x**3 - 5*x**3 - 18 + q*x**3.
-(x + 2)*(x + 3)**2
Let l(a) be the first derivative of 26 + 0*a + 2/15*a**3 + 0*a**4 + 0*a**2 - 2/25*a**5. Factor l(w).
-2*w**2*(w - 1)*(w + 1)/5
Let m(y) be the first derivative of -y**4/16 + 11*y**3/4 - 255*y**2/8 - 289*y/4 - 130. Factor m(z).
-(z - 17)**2*(z + 1)/4
Let z = 435 + -432. Let n(p) = p**3 + 5*p**2 - 6*p + 2. Let x be n(-6). Factor 6 + 8 - b - 17 + 3*b**x + b**z.
(b - 1)*(b + 1)*(b + 3)
Let b(o) = o**4 - 42*o**3 - 80*o**2 - 107*o - 37. Let d(v) = 2*v**3 - v**2 - v - 1. Let c(n) = 2*b(n) + 22*d(n). Let c(k) = 0. What is k?
-2, -1, 24
Let p(t) = -t**4 + t - 1. Let l(w) be the first derivative of -9*w**6/2 + 98*w**5/5 - 57*w**4/4 + 3*w**3 + w**2/2 - w + 4. Let f(v) = l(v) - p(v). Factor f(k).
-3*k**2*(k - 3)*(3*k - 1)**2
Let y(f) be the third derivative of 1/9*f**3 - 7*f**2 + 1/120*f**6 + 0 - 1/90*f**5 + 0*f - 1/24*f**4. Find l such that y(l) = 0.
-1, 2/3, 1
Suppose 4*i + 4*i - 8 = 0. Factor -i - 8603*r**3 - r + 8604*r**3 + 2*r**2 - r**2.
(r - 1)*(r + 1)**2
Let a(x) be the second derivative of 1/180*x**5 + 0 + 5/108*x**4 - 16*x + 0*x**2 + 1/27*x**3 - 1/126*x**7 - 1/54*x**6. Suppose a(i) = 0. Calculate i.
-1, -2/3, 0, 1
Let l be -6 - -3*(-7 - -9). Let a be l*(28/(-10) - -3). Let a + 1/3*r - 1/3*r**2 = 0. What is r?
0, 1
Let m = -27/42391 + 64513539/57821324. Let r = -3/124 + m. Factor 18/11 + r*k + 2/11*k**2.
2*(k + 3)**2/11
Suppose 0 = -4*k - m + 13, 57*m - 7 = -k + 53*m. Find o, given that -4/7*o**2 + 2/7*o**4 + 0*o + 2/7*o**k + 0 = 0.
-2, 0, 1
What is s in 14*s**4 + 4*s**3 - 4*s + 2*s**2 + 8*s**4 - 3*s**2 - 21*s**4 = 0?
-4, -1, 0, 1
Let f = -11161/35 - -2235/7. Factor -2*y - 8/5 - f*y**2.
-2*(y + 1)*(y + 4)/5
Let l(h) be the third derivative of -h**6/360 - 31*h**5/180 + 11*h**4/12 + 7*h**2 - 6*h. Suppose l(w) = 0. What is w?
-33, 0, 2
Let y(c) = -2*c**2 + 6*c + 5 - 8*c + c - 8*c + 6*c**3. Let o(h) = -h**3 + h**2. Let d(t) = -5*o(t) - y(t). Find l, given that d(l) = 0.
-5, 1
Let n(b) be the first derivative of b**7/14 + b**6/2 + 27*b**5/20 + 7*b**4/4 + b**3 - 14*b - 1. Let j(o) be the first derivative of n(o). Factor j(d).
3*d*(d + 1)**3*(d + 2)
Let b(l) = l**4 - 3*l**3 + 8*l**2. Suppose -3 = v - k - 7, v + 2 = 4*k. Let a(s) = 3*s**4 - 9*s**3 + 23*s**2. Let q(z) = v*a(z) - 17*b(z). Factor q(t).
t**2*(t - 2)*(t - 1)
Let c(x) be the second derivative of -x**5/5 - 2*x**4/3 - 2*x**3/3 - 139*x. Find d such that c(d) = 0.
-1, 0
Let f(v) be the second derivative of -v**5/12 - 5*v**4/12 - 5*v**3/6 + v**2/2 + 10*v. Let c(i) be the first derivative of f(i). Find l, given that c(l) = 0.
-1
Factor 33*o + 9*o**2 + 13*o**2 + 8 + 2*o**3 - 28*o**3 + 23*o.
-2*(o - 2)*(o + 1)*(13*o + 2)
Let d(x) be the third derivative of x**8/10080 - x**7/630 + x**6/120 - x**5/20 + 4*x**2. Let o(f) be the third derivative of d(f). Factor o(c).
2*(c - 3)*(c - 1)
Let x(n) be the second derivative of n**6/360 + n**5/60 + 7*n**2/2 - 2*n. Let o(d) be the first derivative of x(d). Factor o(p).
p**2*(p + 3)/3
Suppose -4*n = 18 + 26. Let z = n + 11. Solve -7 - 4 + m**2 - 3*m + z*m + 13 = 0.
1, 2
Let c(r) be the second derivative of r**6/120 + 39*r**5/20 + 507*r**4/4 - 161*r - 2. Factor c(u).
u**2*(u + 78)**2/4
Suppose 0 = 5*h + 22 + 8. Let c be -2*27/h - 3. Factor -k**5 + 0*k - 5*k + 2*k**4 + c*k - 2*k**2.
-k*(k - 1)**3*(k + 1)
Factor -1799*l**5 + 40*l + 8*l + 1802*l**5 - 24*l**3.
3*l*(l - 2)**2*(l + 2)**2
Let j be (-6)/4*(64/(-20) + 3). Let b(v) be the first derivative of -6/5*v + j*v**2 + 4/5*v**3 - 9/20*v**4 + 6. Find h, given that b(h) = 0.
-2/3, 1
Let a = -195 - -196. Suppose -2*f = 1 - a. Solve 2/5*y**3 + f + 0*y**2 - 2/5*y = 0 for y.
-1, 0, 1
Solve 110*z - 5*z**2 - 199*z + 5*z**3 + 84*z + 5 = 0 for z.
-1, 1
Suppose 0 = 26*x - 41*x + 375. Suppose -x*h**2 + 10*h + 85/6*h**3 + 20/3 - 5/2*h**4 = 0. What is h?
-1/3, 2
Let w(u) be the second derivative of u**4/12 + u**3/6 + u**2/2 - 12*u. Let c(f) = -7*f**2 - 8*f - 7. Let o(b) = -c(b) - 6*w(b). What is k in o(k) = 0?
-1
Let z be (8/(-30))/((-51)/51). Let j(w) be the second derivative of -z*w**3 + 3*w + 3/5*w**2 + 1/30*w**4 + 0. Factor j(n).
2*(n - 3)*(n - 1)/5
Let l(n) be the second derivative of n**2 + 0 + 12*n + 1/8*n**5 - 5/12*n**3 - 1/8*n**4 - 1/60*n**6. Solve l(k) = 0 for k.
-1, 1, 4
Factor 1/4*i**2 + 37/2*i + 1369/4.
(i + 37)**2/4
Let b = 966 + -962. Let f(u) be the second derivative of u + 0 + 2*u**2 + 1/3*u**b - 4/3*u**3. Factor f(h).
4*(h - 1)**2
Suppose 3*x + 15 = 6*x. Suppose -2*o - y - 2 = 0, 5 = -x*o + 2*y + 9. Suppose 2*d + 4 + o*d + 2*d**3 + d**4 - 3*d - 3*d**2 - 3*d = 0. What is d?
-2, 1
Factor -27*z**2 - 169*z**3 + 3*z**2 + 2*z**4 + 2*z**4 + 173*z**3.
4*z**2*(z - 2)*(z + 3)
Suppose -2*w - 370 - 146 = 0. Let k = -258 - w. Determine i, given that k - 2/5*i**3 - 2/5*i**4 + 0*i**2 + 0*i = 0.
-1, 0
Let f = -12