3))/((-63)/42). Factor -1 - z*r**5 + r**3 + r**4 - 4*r**2 + 7/2*r.
-(r - 1)**4*(r + 2)/2
Let -4*n**2 + 160*n - 31 - 1201 - 132 + 59 - 295 = 0. What is n?
20
Let y(s) be the first derivative of s**3/9 + 5*s**2/3 - 11*s/3 + 37. Factor y(q).
(q - 1)*(q + 11)/3
What is b in 650*b - 624*b + 12 + 3*b**2 + 2*b**3 + 13*b**2 = 0?
-6, -1
Factor -67/5*q - 68/5 + 1/5*q**2.
(q - 68)*(q + 1)/5
Let c be ((24/(-16))/(-3))/(2/8). Let o(f) be the second derivative of -2/21*f**4 + 5/21*f**3 + 0 + 1/70*f**5 - 2*f - 2/7*f**c. Determine i so that o(i) = 0.
1, 2
Let b(a) be the third derivative of -a**5/15 + 5*a**4/6 - 8*a**3/3 - 88*a**2. Factor b(h).
-4*(h - 4)*(h - 1)
Let s(u) be the first derivative of 3*u**4/4 - 26*u**3 - 549*u**2/2 - 864*u + 153. Factor s(i).
3*(i - 32)*(i + 3)**2
Let i be 1/2 - 294/(-84). Let g(z) be the second derivative of 0 + 0*z**2 - i*z - 1/45*z**6 - 1/30*z**5 + 0*z**4 + 0*z**3. Factor g(v).
-2*v**3*(v + 1)/3
Let g(j) be the first derivative of -1/36*j**4 + 5 - 1/9*j**3 + 0*j**2 + 2*j. Let i(l) be the first derivative of g(l). What is v in i(v) = 0?
-2, 0
Suppose -2*s = -s + 3*b + 19, 5*b + 13 = 3*s. Let j be s/18 + 160/72. Factor -2*x**4 + x**4 - j*x**2 + 4*x**4 - x**4.
2*x**2*(x - 1)*(x + 1)
Suppose 65*o = 102 - 102. Find t such that o + 3/2*t**2 + 6*t = 0.
-4, 0
Let b(r) be the second derivative of -r**4/12 + 2*r**3/3 + 78*r. Factor b(q).
-q*(q - 4)
Let i(q) be the second derivative of q**7/21420 - q**6/1020 + q**5/204 - 5*q**4/6 - 5*q. Let k(t) be the third derivative of i(t). Let k(w) = 0. Calculate w.
1, 5
Let w(f) be the second derivative of -11*f + 4/3*f**2 + 0 + 1/3*f**3 - 1/18*f**4. Factor w(c).
-2*(c - 4)*(c + 1)/3
Let h(z) be the first derivative of -32*z**5/5 + 75*z**4 - 196*z**3 + 202*z**2 - 84*z + 98. Solve h(d) = 0.
3/8, 1, 7
Suppose 4*l + 37 - 41 = 0. Let t(p) = 1 + 2*p**3 - 3*p + 6*p - 2 + 6*p**2. Let o(y) = -y - 1. Let f(i) = l*t(i) - 3*o(i). Factor f(n).
2*(n + 1)**3
Let k be (30/(-5))/(6/(-4)). Suppose 4*b + 20 = k*x, -2*x + 4*b - 5*b = 5. Factor -4/7*o**3 + 12/7*o + 8/7 + x*o**2.
-4*(o - 2)*(o + 1)**2/7
Let o(u) be the third derivative of u**6/160 - 3*u**5/40 + u**4/4 + 46*u**2. Factor o(r).
3*r*(r - 4)*(r - 2)/4
Suppose r - 18 = -4*z, 4*z - 4 = -2*r + 20. Let o(p) be the first derivative of 0*p**3 + 3/13*p**2 - 1/26*p**4 - r - 4/13*p. Solve o(s) = 0.
-2, 1
Solve 6/11*h + 2/11*h**2 + 4/11 = 0 for h.
-2, -1
Suppose -6 = -2*a + 12. Suppose 0 = 4*i - a - 11. Factor 19*n + 2*n**5 + 4*n**2 - 7*n + n**4 - i*n**4 - 14*n.
2*n*(n - 1)**3*(n + 1)
Let w(a) = -21*a + 27. Let y be w(1). Let z(d) be the second derivative of 1/3*d**3 - 1/30*d**y + d - 1/3*d**4 + 1/6*d**5 - 1/6*d**2 + 0. Factor z(h).
-(h - 1)**3*(3*h - 1)/3
Determine t, given that 16*t**2 + 2*t**5 - 72*t**3 + 10*t**5 + 4*t**5 + 2*t**5 - 4*t**4 = 0.
-2, 0, 2/9, 2
Let p be (-3)/(-1) - 4/8*2. Factor -q**5 + 2*q**3 - 4*q**4 + 10*q**3 + 3*q**4 - 4*q**3 + 12*q**p.
-q**2*(q - 3)*(q + 2)**2
Let i(s) be the first derivative of 0*s**3 + 14 + 0*s**2 + 2/15*s**5 - 1/3*s**4 + 0*s. Factor i(z).
2*z**3*(z - 2)/3
Solve -1116/11*f**2 - 376/11*f - 42/11 + 54/11*f**4 - 1080/11*f**3 = 0 for f.
-1/3, 21
Suppose 16*m = 2*m + 42. Let f(l) be the second derivative of 6*l + 5/21*l**m + 2/21*l**4 + 0 + 2/7*l**2 + 1/70*l**5. Suppose f(r) = 0. Calculate r.
-2, -1
Find j such that -23*j - 3*j**2 - 1517*j + 608*j - 90828 - 112*j = 0.
-174
Let b(m) = -m**2 - 6*m. Let h be b(-5). Suppose -17 = -h*t - 7. Factor -4/3*o - 2/3*o**3 + 2*o**t + 0.
-2*o*(o - 2)*(o - 1)/3
Solve -3*t - 3/4*t**2 + 15/4 = 0.
-5, 1
Let f(b) be the third derivative of b**7/126 - 5*b**6/24 + 13*b**5/12 - 185*b**4/72 + 10*b**3/3 + 70*b**2. Factor f(k).
5*(k - 12)*(k - 1)**3/3
Let m(v) = -4*v**3 - 30*v**2 - 42*v - 24. Let k(p) = p**2 - p + 2. Let c(z) = -2*k(z) - m(z). Suppose c(s) = 0. Calculate s.
-5, -1
Let h(z) be the first derivative of z**6/2 - 3*z**5 - 21*z**4/2 + 124*z**3 - 372*z**2 + 480*z - 958. Suppose h(l) = 0. What is l?
-5, 2, 4
Let n(d) = 4*d**2 - 24*d + 36. Suppose 0 = -18*m + 20*m - 10. Let z(o) = 12*o**2 - 72*o + 108. Let c(v) = m*z(v) - 16*n(v). Factor c(l).
-4*(l - 3)**2
Let v(g) = -g**3 - 20*g**2 + 44*g - 20. Let f(r) = -5*r**3 - 61*r**2 + 132*r - 59. Let n(m) = 4*f(m) - 11*v(m). Solve n(b) = 0 for b.
-4, 2/3
Suppose -4*d = -t, 15*d = 14*d + 2*t. What is b in 1/5*b**3 + d*b**2 - 1/5*b + 0 = 0?
-1, 0, 1
Let z(q) be the third derivative of -q**10/37800 + q**9/7560 + q**8/5040 - q**7/630 + q**5/15 + 8*q**2. Let k(c) be the third derivative of z(c). Factor k(o).
-4*o*(o - 2)*(o - 1)*(o + 1)
Let j(n) = -14*n - 4*n**2 - 12 + 0*n**2 + 5*n**2. Let r be j(15). Solve -r*b**3 - 2 - 2 + 4 = 0.
0
Suppose 38*f - 42*f + 24 = 0. Suppose f*h = -h. Determine g, given that -2/5 - 2/5*g**4 + 0*g**3 + h*g + 4/5*g**2 = 0.
-1, 1
Let l = -37 + 37. Solve -25 + l*u - 6*u + u**2 + u**2 + 17 = 0 for u.
-1, 4
Let y(t) be the second derivative of -3*t**2 + 3/20*t**5 + 2*t - 2 - 3/2*t**3 + 0*t**4. Factor y(c).
3*(c - 2)*(c + 1)**2
Suppose 3 = -13*c + 14*c. Solve -21*z**2 - 12*z + 21*z**4 - 6*z - 4*z**5 + 15*z**c + 0*z**5 + 7*z**5 = 0.
-6, -1, 0, 1
Let m be 26*(4 - -43*(-4)/44). Let k = 256/99 - m. Factor -2/9*v**2 + k*v + 0.
-2*v*(v - 1)/9
Let m(r) be the first derivative of -3*r**4/4 + 21*r**2/2 + 18*r + 108. Suppose m(g) = 0. Calculate g.
-2, -1, 3
Let l be (2 + (-20)/14)/(2067/4823). Factor -l*w**4 - 1/3*w + 0 - 1/3*w**5 - 2*w**3 - 4/3*w**2.
-w*(w + 1)**4/3
Let a(y) = y**2 + 98*y - 2502. Let f(g) = -4*g**2 - 293*g + 7507. Let c(w) = 14*a(w) + 4*f(w). What is b in c(b) = 0?
50
Let t(u) be the second derivative of u**6/200 + u**5/25 - u**4/40 - 2*u**3/5 - 43*u**2/2 - 38*u. Let z(p) be the first derivative of t(p). Factor z(f).
3*(f - 1)*(f + 1)*(f + 4)/5
Let a(k) be the third derivative of -k**5/12 - 215*k**4/4 - 27735*k**3/2 + 5*k**2 - 44*k. Let a(j) = 0. What is j?
-129
Let p(t) be the third derivative of t**6/60 + 31*t**5/75 + 53*t**4/20 + 18*t**3/5 - 208*t**2. Factor p(o).
2*(o + 3)*(o + 9)*(5*o + 2)/5
Let j(n) be the first derivative of -n**3/15 - 9*n**2/10 + 145. Determine q, given that j(q) = 0.
-9, 0
Let x = -1883519/360 + 5232. Let c(v) be the third derivative of 0 - v**2 - x*v**5 + 0*v**3 + 0*v - 1/144*v**4. Solve c(o) = 0.
-1, 0
Let m(b) be the first derivative of b**7/70 + b**6/40 - 3*b**5/20 - 5*b**4/8 - b**3 + 9*b**2/2 + 12. Let r(n) be the second derivative of m(n). Factor r(l).
3*(l - 2)*(l + 1)**3
Find r, given that -207/4 + 3/4*r**2 + 51*r = 0.
-69, 1
Let o(i) be the first derivative of 4*i**3/9 - 416*i**2/3 + 43264*i/3 + 387. Factor o(t).
4*(t - 104)**2/3
Let f(k) be the third derivative of k**6/60 - k**5/40 + 17*k**3/6 + 11*k**2. Let u(r) be the first derivative of f(r). Factor u(j).
3*j*(2*j - 1)
Let h(z) be the second derivative of 0*z**2 - 1/360*z**6 + 0 - 9*z + 0*z**5 + 1/6*z**4 + 1/2*z**3. Let x(a) be the second derivative of h(a). Factor x(l).
-(l - 2)*(l + 2)
Suppose -28*n + 28 = -21*n. Find o, given that -23/4*o**3 + 27/4*o**n - 1 - 9/4*o**5 - 3/4*o**2 + 3*o = 0.
-2/3, 2/3, 1
Let k(n) be the first derivative of n**4/28 + 17*n**3/21 + 15*n**2/7 + 364. Factor k(a).
a*(a + 2)*(a + 15)/7
Let b be -2 + 12 + 10/(-5) + -8. Factor 2*l**2 + b + 8/5*l + 2/5*l**3.
2*l*(l + 1)*(l + 4)/5
Let v be (7/(-2))/(-7)*2. Factor v + 1 + 4*q**2 + 0 - 6*q**2.
-2*(q - 1)*(q + 1)
Factor 25/3*o - 55/6*o**2 + 0 + 5/6*o**3.
5*o*(o - 10)*(o - 1)/6
Let z be 9/(-14)*(26 + (-5053)/186). Factor 0 + z*u**3 - 3/4*u - 3/4*u**2 + 3/4*u**4.
3*u*(u - 1)*(u + 1)**2/4
Let t(j) be the third derivative of -j**7/2520 + j**6/540 - j**5/360 + 5*j**3/3 - 15*j**2. Let y(a) be the first derivative of t(a). Factor y(u).
-u*(u - 1)**2/3
Let j(i) be the third derivative of i**6/60 - 11*i**5/30 + 31*i**4/12 - 7*i**3 - 47*i**2. Find a such that j(a) = 0.
1, 3, 7
Factor 18 + 13*q + 15*q**2 - 8 - 13*q**2 - 7 + 18.
(q + 3)*(2*q + 7)
Let r(u) = -2*u**2 - 13*u - 8. Let x(v) = 12*v**2 - 6*v + 8*v**2 - 4 - 34*v**2 + 13*v**2. Let c be -3*(10/6 - 1). Let o(k) = c*r(k) + 5*x(k). Factor o(l).
-(l + 2)**2
Let n(k) be the second derivative of -10*k + k**3 + 0 - 1/20*k**5 + 1/12*k**4 + 0*k**2. Factor n(m).
-m*(m - 3)*(m + 2)
Let w(v) = -15*v**4 - 21*v**3 + 24*v**2 + 18*v - 3. Let x(d) = d**4 - 2*d**2 + d - 1. Let y(z) = w(z) + 3*x(z). Let y(q) = 0. What is q?
-2, -1, 1/4, 1