 1 - 37*k + 11*k + 31*k**2 + 57*k - k**2 = 0?
-1, -1/30
Let f be (1 + -2 + 117/27)/1. Let p(w) be the second derivative of -4*w + 0 - f*w**4 + 17/6*w**3 - w**2 + 4/5*w**5. Factor p(r).
(r - 2)*(4*r - 1)**2
Let x(f) be the second derivative of -f**4/36 + 3*f**3/2 + 29*f**2/3 + 2*f + 131. Factor x(k).
-(k - 29)*(k + 2)/3
Let v(x) be the first derivative of -3*x**4/20 + 2*x**3 - 24*x**2/5 + 704. Let v(c) = 0. Calculate c.
0, 2, 8
Let v(b) be the first derivative of -9/20*b**5 - 1/2*b**3 - 1/10*b**6 - 2*b**2 - 3/4*b**4 + 0*b - 5. Let r(k) be the second derivative of v(k). Factor r(q).
-3*(q + 1)**2*(4*q + 1)
Let v(l) be the third derivative of l**6/40 - 3*l**5/20 + 2*l**3 - l**2 + 2*l. Factor v(i).
3*(i - 2)**2*(i + 1)
Suppose -71 - 20 = -13*d. Suppose d - 4 = l. Determine m, given that 0 + 3/5*m**l + 0*m + 3/5*m**2 = 0.
-1, 0
Determine u, given that -643*u - 359*u - 152*u**2 - 442*u - 4*u**3 = 0.
-19, 0
Let r(v) be the first derivative of -2/15*v + 2/15*v**2 - 2/45*v**3 - 11. Factor r(t).
-2*(t - 1)**2/15
Let a(j) be the second derivative of -j**9/37800 + j**7/2100 + j**6/900 + 19*j**4/12 - j**3/3 - 5*j + 6. Let w(m) be the third derivative of a(m). Factor w(y).
-2*y*(y - 2)*(y + 1)**2/5
Let h be (15/(-9) + 2)*6. Let -15*v**4 - 4 - 36*v**3 - 10*v + 93*v**h - 1 - 8*v - 19 = 0. What is v?
-4, -2/5, 1
Let m(o) = 3*o**2 + o. Let x(p) = -9*p**2 - 146*p + 300. Let i(k) = 2*m(k) + x(k). Suppose i(f) = 0. Calculate f.
-50, 2
Let z(i) be the first derivative of 1/35*i**5 + 0*i - 1/14*i**4 - 12 - 1/21*i**3 + 1/7*i**2. Factor z(a).
a*(a - 2)*(a - 1)*(a + 1)/7
Let k(a) be the third derivative of 7*a**2 + 5/6*a**4 + 0*a + 0 + 1/3*a**5 + 5/6*a**3. Let k(p) = 0. What is p?
-1/2
Let r = -381 + 387. Let a(s) be the third derivative of -6*s**2 + 1/72*s**4 + 0*s + 0 + 1/360*s**r + 1/90*s**5 + 0*s**3. Find d such that a(d) = 0.
-1, 0
Factor -5/3*u**2 + 0 + 4/3*u.
-u*(5*u - 4)/3
Factor 6 + m**2 - 22*m + 0*m**2 + 15*m.
(m - 6)*(m - 1)
Suppose -9*x = 51*x. Let y(q) be the second derivative of 3*q**2 - 1/4*q**4 + x - 1/2*q**3 + q. What is n in y(n) = 0?
-2, 1
Let p(v) be the first derivative of v**5/5 - 2*v**3/3 - 13*v - 14. Let t(x) be the first derivative of p(x). Let t(n) = 0. What is n?
-1, 0, 1
Solve 7*s**2 + 24 - 112*s + 2*s**2 + 5*s**2 + 18*s**3 = 0.
-3, 2/9, 2
Factor 15*r + 2 - 21*r + 2*r**2 + 2*r.
2*(r - 1)**2
Let w be 200/15*3/2. Let l = w - 16. Factor -2*t**2 - 2*t**3 + 4*t - 4*t + 2*t - 2*t**l + 4*t**2.
-2*t*(t - 1)*(t + 1)**2
Let d(o) be the first derivative of o**9/15120 - o**8/2800 + o**6/450 - 2*o**3 - 15. Let b(c) be the third derivative of d(c). Factor b(z).
z**2*(z - 2)**2*(z + 1)/5
Let a(f) be the first derivative of -2*f**5/35 - 17*f**4/14 - 472. Factor a(x).
-2*x**3*(x + 17)/7
Let r(w) be the third derivative of w**5/48 - 5*w**4/4 - 125*w**3/24 - 17*w**2. Determine l, given that r(l) = 0.
-1, 25
Factor 118*s**4 + 9 + 7*s**2 - 19*s**3 - 114*s**4 + 54*s - 15*s.
(s - 3)**2*(s + 1)*(4*s + 1)
Let l be (-1)/3*16*18. Let t = 96 + l. Factor 0*i + t + 3/5*i**2.
3*i**2/5
Let i(x) be the first derivative of 9 + 25/8*x + 1/24*x**3 + 5/8*x**2. Determine l so that i(l) = 0.
-5
Let k(p) be the second derivative of -1/3*p**4 + 1/15*p**6 + 0 + p**2 - 1/3*p**3 - 1/21*p**7 - 5*p + 1/5*p**5. Solve k(n) = 0.
-1, 1
Let w be (1 + -1)/(11/11). Let m be 1/(7 + w - 4). Factor -1/3 + 0*q + m*q**2.
(q - 1)*(q + 1)/3
Let h be -25*8/(-40) + -3*1. Let n(s) be the first derivative of -3 - 12*s + 8*s**h - 4/3*s**3. What is i in n(i) = 0?
1, 3
Let g be -5*(-38)/1045*-22*2/(-12). Factor -7/3*z**2 + g*z**3 + 4/3*z + 4/3.
(z - 2)**2*(2*z + 1)/3
Find u, given that -3*u**3 - 12 - 20*u**2 - 49 + u**3 - 3 + 92*u - 6*u**2 = 0.
-16, 1, 2
Factor -18750*m**2 + 18754*m**2 - 1 + 50*m + 70*m + 1.
4*m*(m + 30)
Suppose 0 = -212*c + 208*c. Let 1/10*p**5 - 1/5*p**3 + 0*p**2 + 0 + 1/10*p + c*p**4 = 0. What is p?
-1, 0, 1
Suppose -5*m + g + g = -21, -4*m - 5*g = 3. Suppose 1 + m*o**3 - 89*o + 12*o**2 + 74*o - 1 = 0. Calculate o.
-5, 0, 1
Let z(i) be the third derivative of -i**8/11200 + i**7/1800 - i**5/150 + i**4/4 + 12*i**2. Let t(n) be the second derivative of z(n). Factor t(a).
-(a - 2)*(a - 1)*(3*a + 2)/5
Let s be (-3)/21 + (-66)/(-21) + 1. Let i(d) be the first derivative of -2 + 1/2*d**3 - 3/4*d**2 - 1/8*d**s + 1/2*d. Factor i(r).
-(r - 1)**3/2
Let p(i) be the first derivative of 8/15*i**3 + 1/10*i**6 + 18 + 0*i + 0*i**2 + 1/5*i**4 - 2/5*i**5. Factor p(f).
f**2*(f - 2)**2*(3*f + 2)/5
Factor d + 3*d**2 + 73*d + 74*d + 972 - 40*d.
3*(d + 18)**2
Suppose -4*q - 4*p + 18 = 58, -2*q - 27 = -5*p. Let l = q - -63/5. Factor 2/5*j**2 - 8/5*j + l.
2*(j - 2)**2/5
Let v be ((-8)/4 - 1)/(-1). Factor -9*x**2 - x + 26 - 32 + 6*x**3 - 3*x**3 - 14*x + v*x**4.
3*(x - 2)*(x + 1)**3
Let m(s) be the second derivative of s**7/245 - s**6/84 + s**5/105 + 43*s**2/2 - 18*s. Let h(v) be the first derivative of m(v). Factor h(u).
2*u**2*(u - 1)*(3*u - 2)/7
Let r(n) be the second derivative of -n**6/30 + 33*n**5/20 - 8*n**4/3 - n + 80. Factor r(v).
-v**2*(v - 32)*(v - 1)
Factor -47 - 2*j**4 - 45 - 45 + 137.
-2*j**4
Let p(c) = 4*c**2 + 3*c**2 - 6*c**2. Let k(b) = -b**2 + 2. Let n(q) = -k(q) + p(q). Factor n(u).
2*(u - 1)*(u + 1)
Let u = 2 - -2. Suppose -4*h + 3*o - u = 0, 0 = 5*h + 2*o - 4*o - 2. What is p in 24 + 16*p**2 + 3 - 10*p**2 + 12*p**3 - 36*p + 3*p**4 - 12*p**h = 0?
-3, 1
Suppose 5*u - 25 = 3*u - 3*y, -u = -3*y - 35. Let o be u/6*57/38. Find z, given that -4/3*z**o + 0*z + 4/3*z**3 + 4/3*z**2 - 4/3*z**4 + 0 = 0.
-1, 0, 1
Let l(y) be the second derivative of -1/40*y**5 - 1/12*y**4 + 1/60*y**6 + 0 + 1/168*y**7 + 1/24*y**3 + 1/4*y**2 + 22*y. What is z in l(z) = 0?
-2, -1, 1
Let a(m) be the third derivative of 1/9*m**3 + 0 - 1/24*m**4 + 1/360*m**6 + 0*m**5 - 28*m**2 + 0*m. Find p such that a(p) = 0.
-2, 1
Find d, given that 0*d + 18 - 1/2*d**2 = 0.
-6, 6
Let z be (4 - 58/15)*3*15. Factor -82 + z*k - 6*k**2 + 91 + 3*k**2.
-3*(k - 3)*(k + 1)
Let p be (-2 - -3)/((-5)/(-10)). Find d, given that 4*d**p + 3 + 4*d**2 - 11*d**2 = 0.
-1, 1
Let z(s) be the first derivative of s**8/504 - 4*s**7/315 + s**6/36 - s**5/45 + 4*s**2 + 12. Let w(k) be the second derivative of z(k). Factor w(q).
2*q**2*(q - 2)*(q - 1)**2/3
Suppose -2*c + s = 3*c - 16, -2*c = -s - 7. Factor 0*m**3 + 149 - 4*m**5 + 4*m**c - 149.
-4*m**3*(m - 1)*(m + 1)
Factor -3/5*g**3 + 96/5*g**2 - 96/5 + 3/5*g.
-3*(g - 32)*(g - 1)*(g + 1)/5
Let r(o) be the second derivative of o**8/1120 + o**7/280 - o**5/40 + 3*o**4/2 + 2*o. Let b(h) be the third derivative of r(h). Solve b(l) = 0.
-1, 1/2
Let l(m) = 2*m**3 - 27*m**2 + 40*m + 14. Let d be l(2). Factor -2/7*f**d + 1/7*f**3 - 5/7*f + 6/7.
(f - 3)*(f - 1)*(f + 2)/7
Let s be -20 - 21/126*-129. Let 0 + 0*q + 3/2*q**2 + 9/2*q**4 - s*q**5 - 9/2*q**3 = 0. Calculate q.
0, 1
Determine j so that -161*j**3 + 22*j**2 - 8 - 7*j**4 - 12*j + 164*j**3 + 2*j**4 = 0.
-2, -2/5, 1, 2
Let u(v) be the first derivative of -v**5/140 - v**4/56 - 5*v**2/2 - 6. Let p(q) be the second derivative of u(q). What is m in p(m) = 0?
-1, 0
Let p(d) be the third derivative of d**6/360 - d**5/60 - 25*d**4/72 - 7*d**3/6 - 21*d**2 - 1. Factor p(b).
(b - 7)*(b + 1)*(b + 3)/3
Suppose -2*w = -4*w - 2*n - 10, -2*n = -2*w + 10. Let t(l) be the third derivative of 0*l**4 + 0*l - 1/60*l**5 - 2*l**2 + w*l**3 + 0. Find f such that t(f) = 0.
0
Let p(c) = 10*c + 1 + 7 + 0 - 6. Let i be p(0). Solve -1/3*v - 13/3*v**4 - 4/3*v**5 + 0 - 7/3*v**i - 5*v**3 = 0 for v.
-1, -1/4, 0
Let t(k) be the second derivative of k**6/15 + k**5/10 - k**4/2 - k**3/3 + 2*k**2 + 64*k - 2. Find p, given that t(p) = 0.
-2, -1, 1
Let p(c) be the second derivative of -c**6/1440 + c**4/96 + 17*c**3/6 - 2*c. Let r(a) be the second derivative of p(a). Determine j so that r(j) = 0.
-1, 1
Let p(b) be the third derivative of -b**6/30 + 8*b**5/5 - 55*b**4/2 + 484*b**3/3 - 417*b**2. Factor p(j).
-4*(j - 11)**2*(j - 2)
Let -40*s**4 + 14115*s**3 - 24 - 4*s + 4*s**5 + 8*s**5 + 64*s**2 - 14123*s**3 = 0. What is s?
-1, -2/3, 1, 3
Let u(p) be the third derivative of -p**7/70 - 7*p**6/20 + 12*p**5/5 + 176*p**4 + 2560*p**3 + 2*p**2 + 165. Solve u(s) = 0 for s.
-8, 10
Let n(h) be the third derivative of 1/96*h**6 + 1/24*h**4 + 0 + 8*h**2 + 0*h + 1/48*h**3 + 17/480*h**5. Let n(t) = 0. What is t?
-1, -1/2, -1/5
