/4, 1
Let m(y) be the first derivative of y**4/6 - 68*y**3/9 + 289*y**2/3 + 170. Factor m(t).
2*t*(t - 17)**2/3
Let p(o) be the third derivative of -1/36*o**4 - 1/120*o**5 - 1/1260*o**7 + 2*o**2 + 0 + 1/180*o**6 + 1/9*o**3 + 0*o. Factor p(x).
-(x - 2)**2*(x - 1)*(x + 1)/6
Let v(d) = -d**2 + 2. Let c(w) = -5*w**2 + w + 9. Suppose -5 = a - 23. Let l(y) = a*v(y) - 4*c(y). Let l(p) = 0. Calculate p.
0, 2
Let w = -461 + 467. Let y(k) be the first derivative of 7/12*k**6 + w + 0*k**2 + 0*k**4 - 1/5*k**5 + 0*k + 0*k**3. Factor y(u).
u**4*(7*u - 2)/2
Suppose 5*t**2 + 10*t + 3*t**2 - 3*t**3 + 6 - 2 + 0*t**3 + 5*t**3 = 0. What is t?
-2, -1
Let q be 360/225*(-30)/(-4). Let m(p) be the third derivative of q*p**2 - 1/4*p**4 + 0 + 1/12*p**5 + 1/6*p**3 + 0*p. Solve m(k) = 0 for k.
1/5, 1
Let h(z) = -4*z**4 - 13*z**3 + 4*z**2 + 13*z + 7. Let n = -21 + 23. Let w(k) = k**4 + 4*k**3 - k**2 - 4*k - 2. Let a(x) = n*h(x) + 7*w(x). Factor a(i).
-i*(i - 2)*(i - 1)*(i + 1)
Let a(y) be the first derivative of -1/10*y**6 + 3/5*y**4 + 2/5*y**3 + 14 + 0*y**5 - 6/5*y - 9/10*y**2. Find i, given that a(i) = 0.
-1, 1, 2
Let j(q) = -8*q**3 - 16*q**2 - 4*q - 2. Let f(x) be the second derivative of x**4/12 - x**2/2 + 10*x. Let m(c) = -2*f(c) + j(c). Factor m(z).
-2*z*(z + 2)*(4*z + 1)
Solve 6198*x + 2*x**2 - 7*x**2 - 6188*x = 0 for x.
0, 2
Let l(t) be the second derivative of t**5/60 + 5*t**4/36 + 7*t**3/18 + t**2/2 - 73*t. What is z in l(z) = 0?
-3, -1
Suppose 28 + 4 = 16*m. Let n(o) = o**2 + o - 4. Let z be n(-3). Factor -2*i**2 - 15*i - 10 - z*i**m - i**2.
-5*(i + 1)*(i + 2)
Let y(h) be the first derivative of 3*h**4/4 - 6*h**2 - 409. Find w such that y(w) = 0.
-2, 0, 2
Let m(z) = z + 1. Let s(q) = 8*q - 26. Let b(d) = -6*m(d) + s(d). Let k be b(17). Factor -1/2*o - 2*o**2 - 3*o**3 - 1/2*o**5 - k*o**4 + 0.
-o*(o + 1)**4/2
Let -141*w**2 - 3*w**5 + 117*w**3 - 114*w + 30*w**2 + 7196*w**4 - 7085*w**4 = 0. What is w?
-1, 0, 1, 38
Let m(p) be the first derivative of p**6/630 + 2*p**5/105 - 5*p**4/42 - 3*p**3 - 30. Let s(q) be the third derivative of m(q). Factor s(r).
4*(r - 1)*(r + 5)/7
Let j(i) be the first derivative of -10/33*i**3 - 4/11*i + 19 - i**2. Factor j(z).
-2*(z + 2)*(5*z + 1)/11
Suppose -4*f + 4*x = -24, -3*f + 2*x - 6 + 22 = 0. Let o(j) be the first derivative of -3 + 0*j**3 + 2*j + 3/2*j**2 - 1/4*j**f. Factor o(h).
-(h - 2)*(h + 1)**2
Let a(s) = -s**2 + 13*s + 2. Let y be a(13). Factor -9*z**4 - 5*z**2 - y*z**5 - 8*z**3 - 1 - 5*z**3 - 286*z + 3 + 289*z.
-(z + 1)**3*(z + 2)*(2*z - 1)
Solve -12*j**2 - 18/5*j**3 + 6/5*j**4 - 18/5 - 57/5*j + 3/5*j**5 = 0 for j.
-2, -1, 3
Let y(o) = -o**2 + 14*o + 34. Let f be y(16). Find v such that 28*v**4 + 264*v**f - 176*v - 64 - 148*v**3 + 147 - 51 = 0.
2/7, 1, 2
Let r(p) be the second derivative of -p**5/10 - 43*p**4/2 - 1408*p**3 - 4096*p**2 - 184*p - 1. Factor r(k).
-2*(k + 1)*(k + 64)**2
Suppose 3*v - 336 = 10*v. Let a be (v/432)/(2/(-6)). Let c - a*c**3 + 2/3 + 0*c**2 = 0. What is c?
-1, 2
Let b(i) be the third derivative of 0*i + 47*i**2 + 0 + 0*i**4 + 0*i**3 + 1/60*i**5 + 1/240*i**6. Factor b(z).
z**2*(z + 2)/2
Suppose 5*f + 11 = 1. Let z(k) = 8*k**3 + 23*k**2 + 22*k + 7. Let y(r) = -7*r**3 - 22*r**2 - 23*r - 8. Let d(j) = f*z(j) - 3*y(j). Factor d(l).
5*(l + 1)**2*(l + 2)
Let v(f) be the third derivative of f**6/180 + 11*f**5/90 - f**4/9 - 44*f**3/9 + 85*f**2. Determine z so that v(z) = 0.
-11, -2, 2
Let 164/19*o + 3362/19 + 2/19*o**2 = 0. Calculate o.
-41
Let l = 1643/12 + -137. Let r = l - -5/12. Factor -r*y**2 - y + 0.
-y*(y + 3)/3
Factor 1/5*b**3 - 24/5 - 2*b**2 + 28/5*b.
(b - 6)*(b - 2)**2/5
Let p be 5/(-2120)*(-1)/(-2 + 1). Let w = p - -319/424. What is l in -9/4*l - 3/2 - w*l**2 = 0?
-2, -1
Let m be 15/6*(-12)/(-15). Suppose 18 = 5*q + 3*c, q - 5*c = -0*c - m. What is z in 0*z + 0*z - 6*z**2 + 20*z**q - 6*z**2 = 0?
0, 3/5
Let y(r) be the third derivative of 0 + 1/60*r**5 + 0*r**3 + 0*r - 10*r**2 + 1/12*r**4. Factor y(o).
o*(o + 2)
Let o(t) = 6*t - 29. Let q be o(13). Suppose -q = -6*k + 23. Solve k + 93*d**2 + 147/2*d**5 - 105*d**4 + 78*d - 303/2*d**3 = 0.
-1, -2/7, 1, 2
Let o(w) = w**3 + 7*w**2 + 7*w + 12. Let p be o(-6). Let n be ((-44)/(-6))/(p/9). Solve 21*j + 6*j**3 - 4*j**2 - n*j**2 - 3*j**3 - 9 = 0.
1, 3
Factor 1/4*v**4 - 23/4*v**2 + 11/2 - 21/4*v**3 + 21/4*v.
(v - 22)*(v - 1)*(v + 1)**2/4
Let m(t) = t**3 - 727*t**2 + 11534*t - 61440. Let i(g) = g**3 - 242*g**2 + 3844*g - 20480. Let w(u) = 7*i(u) - 2*m(u). Factor w(k).
5*(k - 16)**3
Determine u, given that -22/9*u**3 - 28/9 - 26/3*u**2 + 2/9*u**4 - 82/9*u = 0.
-1, 14
Let r(j) = 3*j**3 + 6*j**2 + 5*j + 2. Suppose 8*d - 28 - 44 = 0. Let t(h) = 13*h**3 + 25*h**2 + 21*h + 9. Let c(p) = d*r(p) - 2*t(p). What is i in c(i) = 0?
-3, -1, 0
Suppose 28*q - 2 = 27*q. Let c(x) be the third derivative of -3/14*x**3 + x**q + 1/140*x**5 + 0*x + 1/28*x**4 + 0. Suppose c(t) = 0. What is t?
-3, 1
Let x(v) = v**2 - v + 1. Let f(o) = 4*o - 7*o**2 - 8 - 3*o**3 + o**2 + 2 + 2*o. Let b(a) = -f(a) - 6*x(a). Solve b(h) = 0 for h.
0
Let j(p) be the first derivative of -p**6/180 - 2*p**5/15 - 7*p**4/12 + 22*p**3/3 + 27. Let o(b) be the third derivative of j(b). Find y such that o(y) = 0.
-7, -1
Let q(x) be the second derivative of x**6/50 - 3*x**5/10 + 9*x**4/20 + 169*x - 2. What is y in q(y) = 0?
0, 1, 9
Suppose b - 2*k - 2 - 8 = 0, -4*b = 5*k - 1. Factor 3*u**3 - 2*u + 3*u**4 - 3*u**5 - 2*u + b*u - 3*u**2.
-3*u**2*(u - 1)**2*(u + 1)
Let z(t) be the first derivative of t**6/10 - 9*t**5/20 + t**4/2 - 9*t + 20. Let o(k) be the first derivative of z(k). Suppose o(a) = 0. What is a?
0, 1, 2
Let y(a) be the first derivative of 2*a - 25 - 3/4*a**4 + 3/2*a**2 - 1/5*a**5 - 1/3*a**3. Factor y(m).
-(m - 1)*(m + 1)**2*(m + 2)
Let q = 56 + -52. Let w(l) be the third derivative of 1/4*l**q - 3/2*l**3 - 1/60*l**5 + 0*l + 0 + 3*l**2. What is t in w(t) = 0?
3
Determine d, given that 2/3*d**2 - 1/6*d**4 + 2*d + 0 - 1/2*d**3 = 0.
-3, -2, 0, 2
Let u(f) be the second derivative of 0 + 0*f**2 + 9*f - 1/84*f**4 + 1/140*f**5 - 1/21*f**3. Factor u(y).
y*(y - 2)*(y + 1)/7
Suppose 0*w = 3*w - 42. Factor -w - 6*z**2 + z**2 - 8*z + 3*z + 5*z**3 + 19.
5*(z - 1)**2*(z + 1)
Let k(o) be the second derivative of -o**5/40 - 7*o**4/24 + 10*o**3/3 - 11*o**2 + 81*o. Solve k(u) = 0 for u.
-11, 2
Find u, given that 2279*u**3 + 2*u**2 + 8*u**4 + 0*u**2 - 2289*u**3 = 0.
0, 1/4, 1
Suppose -6*q - 3*g + 6 = -2*q, 3*g = -q + 6. Suppose q*w + 3*w = 12. Determine r so that -w*r + 4 - 1 + 3*r**4 + 12*r**3 + 16*r + 18*r**2 = 0.
-1
Suppose -3*q - 5*v - 19 = 0, 4*v + 31 - 11 = 0. Suppose -2*o**q - 4*o - 5*o - 32 + 9*o + 16*o = 0. Calculate o.
4
Let l(w) be the third derivative of w**5/150 + 5*w**4/6 + 125*w**3/3 + 37*w**2. Factor l(k).
2*(k + 25)**2/5
Suppose i - 1 = -j, 0 = 3*i + 5*j - 1. Let g be i/(3 + (-2)/1). Factor -q**3 - q**2 + 2*q**g + 9 + q + 4 - 14.
-(q - 1)**2*(q + 1)
Let v(b) be the third derivative of b**8/168 + 2*b**7/35 - b**6/6 - 26*b**5/15 + 35*b**4/4 - 50*b**3/3 - 39*b**2 + b. Let v(a) = 0. What is a?
-5, 1, 2
Let x = 50 + -56. Let u(s) = s**2 - s - 1. Let r(d) = 2*d**3 + 6*d**2 - 20*d + 6. Let a(o) = x*u(o) + r(o). Factor a(l).
2*(l - 2)*(l - 1)*(l + 3)
Suppose 2*k - 24 = -v + 5*v, -v = -k + 12. Let l be 2/10*5*3/k. Determine s, given that -1/2*s + l*s**3 + 0 + 1/4*s**2 = 0.
-2, 0, 1
Let w(v) = 16*v**2 + 45*v + 34. Let h be w(-1). Factor -4*s**3 + 0*s + 0 + 12/7*s**2 - 4/7*s**h + 20/7*s**4.
-4*s**2*(s - 3)*(s - 1)**2/7
Let r be (-6)/(-27) + (-119)/(-126). Let g = r - 2/3. Solve g - 3/2*i**4 + 2*i + i**2 - 2*i**3 = 0.
-1, -1/3, 1
Find r such that 588*r**2 + 1511*r + 2*r**4 - r**4 + 1233*r + 42*r**3 = 0.
-14, 0
Let m(l) be the first derivative of -l**4/4 - 5*l**3/3 + 3*l**2 + 5*l + 1. Let s be m(-6). Suppose -z**3 - 5*z**s + 5*z**3 + 3*z**5 + 2*z**4 = 0. What is z?
-1, 0, 2
Let b(t) be the third derivative of -t**6/180 + t**5/30 - t**3/3 - 6*t**2. Let f(s) be the first derivative of b(s). Factor f(x).
-2*x*(x - 2)
Let c(h) be the third derivative of -h**6/80 - 19*h**5/40 - 99*h**4/16 - 81*h**3/4 + 116*h**2. Factor c(s).
-3*(s + 1)*(s + 9)**2/2
Suppose -n + 8 = 4. Find m such that n*m**2 - 1 + 2 - 1 = 0.
0
Let q(j) = 2939 - 2934 + j**3 - j + 5*j - 6*j**2. Let i be q(5). Suppose i + 3/4*u**2 + 9/4*u = 0. What is u?
-