*4 = 0. What is p?
-2, 3
Let s(v) = 5*v**2 - 35*v + 5. Let y(r) = 2*r**2 - 17*r + 3. Suppose -t + 1 - 7 = 3*k, 2*k - 3*t = -15. Let d(i) = k*s(i) + 5*y(i). Suppose d(l) = 0. What is l?
0, 4
Factor 8*t**2 - 29*t - 10*t**2 + 11*t**2 + 6 + 0*t**2.
(t - 3)*(9*t - 2)
Let j be (6*(-1)/(-27))/(35/6). Let f(c) be the third derivative of -11*c**2 - 4/105*c**6 + 0 - j*c**5 - 1/21*c**3 + 0*c + 1/12*c**4. Solve f(q) = 0.
-1, 1/4
Suppose 14*r + 1948 - 1976 = 0. Suppose 6/7*u**r - 2/7*u**3 - 8/7 + 0*u = 0. What is u?
-1, 2
Let x(i) be the first derivative of -5*i**3/3 - 175*i**2 - 345*i + 7. Let x(f) = 0. Calculate f.
-69, -1
Let d(z) be the third derivative of -z**7/504 + 5*z**6/144 - 13*z**4/12 - 8*z**2. Let f(u) be the second derivative of d(u). Suppose f(j) = 0. What is j?
0, 5
Let w(j) = 2*j**2 + 2. Let u(x) = 13*x**2 + 21*x + 14. Let n(b) = 5*u(b) - 35*w(b). Factor n(a).
-5*a*(a - 21)
Factor 3*o**3 - 59*o**2 - 28*o**2 - 3*o + 75*o**2 + 0*o + 0 + 12.
3*(o - 4)*(o - 1)*(o + 1)
Factor -5 + 11/2*x - 1/2*x**2.
-(x - 10)*(x - 1)/2
Let s(c) be the first derivative of -36/5*c**5 + 53*c**4 - 14 - 20/3*c**6 + 24*c - 14*c**2 - 44*c**3. Find o such that s(o) = 0.
-3, -2/5, 1/2, 1
Let j = 4457/35848 - -3/4481. What is c in 0 + 9/8*c**3 - 25/8*c + 15/8*c**2 + j*c**4 = 0?
-5, 0, 1
Let t(w) be the second derivative of 2*w**7/21 - 4*w**6/5 + 7*w**5/5 + 6*w**4 - 88*w**3/3 + 48*w**2 + 2*w - 65. Determine h so that t(h) = 0.
-2, 1, 2, 3
Suppose -8/3*z + 16 - 20/9*z**2 - 2/9*z**3 = 0. What is z?
-6, 2
Suppose 253*t - 477 - 163 - 119 = 0. Determine b, given that -22/21*b**t + 6/7*b**4 - 4/21 + 22/21*b - 2/3*b**2 = 0.
-1, 2/9, 1
Let r = -4979 + 4982. Find g such that -16/5 + 12/5*g**2 + 2/5*g**4 + 8/5*g - 2*g**r = 0.
-1, 2
Let t(c) = 2*c**3 + 162*c**2 + 314*c - 153. Let w be t(-79). Let 0*q + 0 - 1/3*q**2 - 1/6*q**w + 0*q**4 + 1/2*q**3 = 0. What is q?
-2, 0, 1
Let n = -20 - -29. What is z in 3*z**3 + 31*z**4 - 16*z**4 - z**3 + 4*z**3 + n*z**5 = 0?
-1, -2/3, 0
Let t(d) be the third derivative of -d**7/504 + d**6/48 - d**4/24 - 14*d**2. Let j(s) be the second derivative of t(s). Suppose j(y) = 0. What is y?
0, 3
Let z be 1/(-2) + (3325/(-114))/(-35). Factor -4/3*v + 0 - z*v**2.
-v*(v + 4)/3
Let u(p) = 14*p**2 - 12*p + 4. Let z(w) = -11*w**2 + 11*w - 3. Let t(x) = 3*u(x) + 4*z(x). Let t(c) = 0. Calculate c.
0, 4
Let f(c) = -6*c**3 + 4*c**2 - 4*c + 2. Let t(y) = 8*y**3 - 4*y**2 + 5*y - 3. Let i(a) = -6*f(a) - 4*t(a). Solve i(u) = 0 for u.
0, 1
Let z = 36 - 33. What is k in 0 - 4/15*k - 2/15*k**2 + 2/15*k**z = 0?
-1, 0, 2
Let t(m) = -m**3 + 6*m**2 - m + 6. Let f be t(6). Let u be (15/(-35))/(5 - (-612)/(-119)). Factor -1/6*z**u + 1/6*z + f + 0*z**2.
-z*(z - 1)*(z + 1)/6
Determine a so that -7/3*a - 5/3*a**2 - 1/3*a**3 - 1 = 0.
-3, -1
Let 7/3*u**5 + 35/3*u - 6*u**3 + 2 - 52/3*u**2 + 22/3*u**4 = 0. Calculate u.
-3, -2, -1/7, 1
Let f(b) be the first derivative of b**5/25 - 3*b**4/20 + 2*b**2/5 + 493. Let f(s) = 0. What is s?
-1, 0, 2
Let u(z) be the first derivative of z**8/2520 - z**7/252 + z**6/90 - z**3/3 - 11. Let p(v) be the third derivative of u(v). Factor p(b).
2*b**2*(b - 3)*(b - 2)/3
Let h(n) be the third derivative of -5*n**9/432 + 5*n**8/336 + n**7/84 - 3*n**3/2 - 15*n**2. Let t(p) be the first derivative of h(p). Factor t(j).
-5*j**3*(j - 1)*(7*j + 2)
Let x(v) = -v**5 + v**4 - v**3 - v**2 + v + 1. Let d(r) = -2*r**5 - 4*r**4 + 10*r**3 - 15*r + 3. Let g(a) = d(a) - 3*x(a). Find k, given that g(k) = 0.
-1, 0, 2, 3
Suppose 0 = d - 165 - 109. Determine m, given that -25 + 2*m - 4*m + d*m**2 - 8*m - 275*m**2 = 0.
-5
Let b(d) be the third derivative of d**7/840 + d**6/120 + 21*d**2. What is c in b(c) = 0?
-4, 0
Let w(c) = -5*c**5 - 25*c**4 - 25*c**3 + 315*c**2 + 530*c - 10. Let g(q) = -q**4 + q**3 + q + 1. Let i(d) = -10*g(d) - w(d). Determine p, given that i(p) = 0.
-4, -3, 0, 3
Let t(h) be the first derivative of h**9/2016 - h**7/560 + 43*h**3/3 - 27. Let p(o) be the third derivative of t(o). Factor p(j).
3*j**3*(j - 1)*(j + 1)/2
Let t(m) be the first derivative of 2/3*m**3 - 2*m - 2 - 1/2*m**2 + 1/4*m**4. Determine w, given that t(w) = 0.
-2, -1, 1
Let q(t) = t**5 - 2*t**4 - t**2 - t - 1. Let h(p) = -4*p**5 - 26*p**4 + 286*p**3 + 689*p**2 + 366*p + 5. Let f(m) = -h(m) - 5*q(m). Factor f(a).
-a*(a - 19)**2*(a + 1)**2
Let b(w) be the first derivative of w**4/2 + 16*w**3/3 + 17*w**2 + 20*w - 63. Factor b(l).
2*(l + 1)*(l + 2)*(l + 5)
Factor -5/2*g + 1/4*g**3 - 3/4*g**2 + 0.
g*(g - 5)*(g + 2)/4
Let m(y) = y**2 - 3*y + 1. Let n(k) = 20*k**3 + 90*k**2 + 135*k - 150. Let o(r) = 15*m(r) + n(r). Suppose o(u) = 0. Calculate u.
-3, 3/4
Let x(o) = 125*o**3 - 435*o**2 + 1175*o - 785. Let n(z) = -31*z**2 + 18 - 49 + 84*z - 25 + 9*z**3. Let v(f) = -55*n(f) + 4*x(f). Suppose v(u) = 0. Calculate u.
2, 3
Let b(k) be the third derivative of k**8/20160 + k**7/720 + k**6/72 + k**5/20 + k**2. Let x(h) be the third derivative of b(h). Factor x(s).
(s + 2)*(s + 5)
Find b such that 24/5*b - 48/5 - 3/5*b**2 = 0.
4
Let y(d) be the second derivative of 0*d**2 + 8*d - 1/105*d**7 + 0*d**3 + 0 - 2/45*d**4 + 1/45*d**6 + 2/75*d**5. Find t such that y(t) = 0.
-1, 0, 2/3, 2
Let h(u) be the second derivative of 2/5*u**3 + 39/100*u**5 + 3/5*u**4 + 0*u**2 + 3/25*u**6 + 5*u + 0 + 1/70*u**7. Find b such that h(b) = 0.
-2, -1, 0
Let d(c) be the first derivative of -c**7/588 - 8*c**6/945 - 19*c**5/1260 - c**4/126 - 22*c**3/3 + 23. Let x(p) be the third derivative of d(p). Factor x(o).
-2*(o + 1)**2*(15*o + 2)/21
Let w(t) be the first derivative of t**6/40 - t**4/8 + 12*t**2 - 15. Let p(x) be the second derivative of w(x). Solve p(a) = 0 for a.
-1, 0, 1
Let x(z) = -3*z**2 - 179*z - 27. Let t(j) = j**2 + 45*j + 11. Let w(b) = -22*t(b) - 6*x(b). Determine f so that w(f) = 0.
1, 20
Factor 27/5*x**3 + 0*x - 12*x**2 + 0 - 3/5*x**4.
-3*x**2*(x - 5)*(x - 4)/5
Let c = -1884 - -1887. Let z(m) be the third derivative of -1/150*m**6 + 10*m**2 - 4/15*m**c + 1/15*m**4 + 0*m + 0 - 1/525*m**7 + 1/50*m**5. Factor z(n).
-2*(n - 1)**2*(n + 2)**2/5
Let r(u) be the third derivative of -u**6/200 - u**5/50 - 5*u**2 + 10. Factor r(y).
-3*y**2*(y + 2)/5
Let h(j) be the first derivative of -1/21*j**6 - 2/7*j**5 - 2/3*j**3 + 0*j - 1 - 9/14*j**4 - 2/7*j**2. Factor h(w).
-2*w*(w + 1)**3*(w + 2)/7
Let q(j) = 13*j**3 - 73*j**2 + 71*j + 61. Let v(t) = -7*t**3 + 37*t**2 - 35*t - 31. Let c(d) = -3*q(d) - 5*v(d). Factor c(f).
-2*(f - 7)*(f - 2)*(2*f + 1)
Suppose -3*l = -7*l + 8. Let -3 + 4 + 3 - t**l + 2*t - t**2 = 0. Calculate t.
-1, 2
Let b be -4 + 3 + (-26)/(-4) + -3. Let h be 1/((-2)/(5/(-5))). Factor b*v**4 + 0 - 4*v**3 + v + h*v**2.
v*(v - 1)**2*(5*v + 2)/2
Let l(s) be the first derivative of 16 + 1/21*s**3 + 1/7*s + 1/7*s**2. Factor l(z).
(z + 1)**2/7
Let i(z) be the first derivative of -15*z**4/4 - 40*z**3/3 + 50*z**2 + 80*z - 1. Factor i(h).
-5*(h - 2)*(h + 4)*(3*h + 2)
Suppose -v - 70 = -3*v. Let a be 136/70 + (-5)/v. Suppose -3/5*b**3 - 3/5 - a*b**2 - 9/5*b = 0. Calculate b.
-1
Let o(t) be the third derivative of 1/5*t**5 + 0*t**4 + 1/40*t**6 + 0 + 21*t**2 + 0*t + 0*t**3. Factor o(b).
3*b**2*(b + 4)
Let t(p) be the second derivative of -p**6/50 - 9*p**5/50 + p**4/20 + 3*p**3/5 + 50*p + 1. Factor t(u).
-3*u*(u - 1)*(u + 1)*(u + 6)/5
Let u(p) be the third derivative of p**5/60 + p**4/2 - 5*p**3/3 - 8*p**2. Let f be u(-13). Factor 24*d - 31*d**2 + 12 + 46*d**2 + 3*d**3 + 0*d**f.
3*(d + 1)*(d + 2)**2
Let c(t) be the third derivative of 0*t - 1/270*t**5 + 0 + 1/540*t**6 + 0*t**4 + 0*t**3 - 26*t**2. What is g in c(g) = 0?
0, 1
Factor -900 + 30*k - 1/4*k**2.
-(k - 60)**2/4
Let g(x) be the first derivative of x**5/5 + 5*x**4/4 + 2*x**3 - 2*x**2 - 8*x - 418. Let g(l) = 0. Calculate l.
-2, 1
Let s(n) be the third derivative of -n**5/120 - 89*n**4/12 - 7921*n**3/3 - 10*n**2 - 22. Factor s(t).
-(t + 178)**2/2
Let w(x) be the second derivative of -x**6/5 - 2*x**5 - 59*x**4/9 - 20*x**3/3 - 3*x**2 + 501*x. Determine u, given that w(u) = 0.
-3, -1/3
Let p(j) be the second derivative of -j**4/48 - 7*j**3/6 + 29*j**2/8 - 100*j. Factor p(r).
-(r - 1)*(r + 29)/4
Let a(l) be the second derivative of -l**7/105 + 11*l**5/50 + 3*l**4/5 + 8*l**3/15 + 42*l. Solve a(p) = 0.
-2, -1, 0, 4
Let w(l) be the first derivative of 0*l + 1/3*l**3 - 3 + 1/2*l**2. What i