 Let j(x) be the second derivative of d(x). Let j(k) = 0. Calculate k.
1, 4
Let l = -1 + 5. Suppose 15 = 5*d + 5*v, -l*v - v - 15 = -5*d. Let -6*x**2 + 7*x - 5*x - 3*x - d*x + 2*x**4 = 0. What is x?
-1, 0, 2
Suppose 207 = -y + 236. Suppose y = -f + 29. Suppose 0*q + 4/5*q**4 + f*q**2 + 0 - 4/5*q**3 = 0. Calculate q.
0, 1
Let o be (-11)/(-6) + 40/(-30) + 0. Suppose -1/2*w**2 + 0*w + o = 0. What is w?
-1, 1
Solve -13/3*p**2 + 10/3 - 13/3*p + p**4 + 13/3*p**3 = 0 for p.
-5, -1, 2/3, 1
Let l be (2 + 1 - -2)*1. Let x(s) be the third derivative of 0*s + 0*s**3 + 3/70*s**7 + 7/40*s**6 + 1/8*s**4 - 2*s**2 + 0 + 1/4*s**l. Factor x(k).
3*k*(k + 1)**2*(3*k + 1)
Let j = 100 + -93. Factor 63*t**5 + j*t**3 - 243*t**4 + 204*t**4 - t**3.
3*t**3*(3*t - 1)*(7*t - 2)
Let h(a) be the first derivative of -a**8/112 + a**6/40 - a**2 + 15. Let t(d) be the second derivative of h(d). Suppose t(n) = 0. Calculate n.
-1, 0, 1
Let q(o) be the second derivative of 3*o + 0 - 1/80*o**5 - 2*o**2 + 0*o**3 - 1/16*o**4. Let u(x) be the first derivative of q(x). Solve u(z) = 0 for z.
-2, 0
Let z(y) = 4*y**4 - 4*y**3 + 30*y**2 + 14*y - 32. Let g(o) = o**4 - o**3 + o**2 + o. Let u(h) = 6*g(h) - z(h). Solve u(j) = 0 for j.
-2, 1, 4
Factor 864 - 48*s + 2/3*s**2.
2*(s - 36)**2/3
Let s(d) be the third derivative of 1/60*d**5 + 0*d + 0 - 1/4*d**4 - 42*d**2 + 0*d**3. Find l such that s(l) = 0.
0, 6
Let i(l) be the third derivative of 0*l**3 + 45*l**2 + 0*l - 1/108*l**4 + 0 + 1/540*l**5 + 1/360*l**6. Factor i(v).
v*(v + 1)*(3*v - 2)/9
Let y(j) = -j. Let i(s) = -2*s**3 + 24*s**2 - 88*s + 108. Let g(t) = -2*i(t) - 4*y(t). Factor g(w).
4*(w - 6)*(w - 3)**2
What is a in 6/7*a - 6/7*a**3 - 6/7*a**2 + 6/7 = 0?
-1, 1
Let o(q) = q + 6. Let t be o(-4). Determine f, given that 7*f**3 - f**4 + 2*f**t - 12*f**5 - 3*f**4 - 4*f**4 + f**4 = 0.
-1, -1/4, 0, 2/3
Let b be (-3)/(-9) + 6 + -6. Let n(i) be the second derivative of b*i**3 - 1/6*i**4 + 0*i**2 - 9*i + 0. Determine t so that n(t) = 0.
0, 1
Find u, given that 416*u - 6*u**2 + 406 + 34 + 10*u**2 - 28 = 0.
-103, -1
Let t(g) be the first derivative of g**4/12 + g**3/2 + 46*g - 43. Let q(c) be the first derivative of t(c). Let q(w) = 0. Calculate w.
-3, 0
Let n(r) be the third derivative of 7*r**5/60 - r**4/4 - 5*r**3/6 + 3*r**2. Let f(w) = 4*w**2 - 3*w - 3. Let a(h) = 10*f(h) - 6*n(h). Factor a(g).
-2*g*(g - 3)
Let u(d) be the third derivative of d**5/30 + 7*d**4/12 - 6*d**3 - 162*d**2. Let u(j) = 0. Calculate j.
-9, 2
Solve 26/3 - 8*l - 2/3*l**2 = 0.
-13, 1
Let h(z) = -z**3 - 7*z**2 - z - 6. Let y be h(-7). Let n(x) = 61*x + 2. Let f be n(y). Factor 63 - 4*o**3 - f + o**3 + 6*o**2.
-3*o**2*(o - 2)
Factor -165/2*j + 0 + 81*j**2 + 3/2*j**3.
3*j*(j - 1)*(j + 55)/2
Suppose 0 = 2*n - 7 - 5. Let h = 0 + n. Let y(x) = -x**2 - x - 1. Let r(f) = -3*f**3 - 21*f**2 - 30*f - 18. Let w(g) = h*y(g) - r(g). Solve w(b) = 0 for b.
-2, -1
Let y(q) be the third derivative of -q**7/70 - 3*q**6/20 - 11*q**5/20 - 3*q**4/4 - q**2 - 33*q. Let y(x) = 0. What is x?
-3, -2, -1, 0
Let v(z) be the first derivative of z**4/10 - 4*z**3/5 - 7*z**2/5 + 95. Find k such that v(k) = 0.
-1, 0, 7
Factor -111*n**3 - 14*n**2 - 169/2*n**5 - 1/2*n - 182*n**4 + 0.
-n*(n + 1)**2*(13*n + 1)**2/2
Let b(m) be the second derivative of m**6/15 - 47*m**5/60 + 23*m**4/36 + 40*m**3/9 + 14*m**2/3 - 409*m + 1. Find q, given that b(q) = 0.
-2/3, -1/2, 2, 7
Let f(h) be the second derivative of h**6/3 + 3*h**5/5 - 11*h**4/30 - 4*h**3/5 + 4*h**2/5 + 98*h. Factor f(l).
2*(l + 1)**2*(5*l - 2)**2/5
Let d be (-400)/(-66) - (-18)/(-3). Let g(b) be the second derivative of 0 - 4/11*b**3 - 2*b - 9/11*b**2 - d*b**4. Factor g(f).
-2*(2*f + 3)**2/11
Let i(m) be the second derivative of 3*m**7/70 + m**6/10 + m**5/20 - 12*m**2 - 49*m. Let g(t) be the first derivative of i(t). Factor g(l).
3*l**2*(l + 1)*(3*l + 1)
Factor -2/3*v**3 + 1/3*v**4 + 0 + 1/3*v**2 + 0*v.
v**2*(v - 1)**2/3
Let o(m) = 21*m**2 - m - 2. Let s be o(-1). Suppose 4*n + 13 = -2*r - 3*r, 4*r = -s. Factor n*f**2 - 6*f + f + 8*f + 0*f.
3*f*(f + 1)
Let k = -25 - -27. Suppose -12*n**2 + n**5 - k*n - n**4 - 3*n**3 + 11*n**2 + 6*n**2 = 0. What is n?
-2, 0, 1
Let u be (7 - (2 + 4))/((-2)/(-4)). Let d(o) be the first derivative of 1/8*o**6 + 0*o**4 + 0*o - 3/10*o**5 + 5 + 0*o**u + 0*o**3. Solve d(k) = 0.
0, 2
Suppose 4/7 - 760/7*t + 36100/7*t**2 = 0. What is t?
1/95
Let x(n) = -n**3 - 11*n**2 - 19*n - 5. Let a be x(-9). Suppose 5*g - 3*b = 2*b, -b = -2*g + 2. Factor 5*k - g*k**3 + 3*k - 8*k**2 - 2*k**2 + a*k**2.
-2*k*(k - 1)*(k + 4)
Let f be (0 + 4/2)*(-5)/(-2). Suppose -g = -f*g. Let -1/6*w - 1/6*w**4 + 1/6*w**2 + g + 1/6*w**3 = 0. What is w?
-1, 0, 1
Let t = -742/5 + 5234/35. Let q(i) be the first derivative of -t*i - 1 + 4/21*i**3 + 2/7*i**2. Find u, given that q(u) = 0.
-2, 1
Let u(d) be the second derivative of -d**8/7560 - d**7/1890 + d**5/270 + d**4/108 - 2*d**3/3 + 47*d. Let c(k) be the second derivative of u(k). Factor c(a).
-2*(a - 1)*(a + 1)**3/9
Let o = 4 - 8. Let i = o + 5. Let w(m) = m**2 - 7*m - 8. Let d(l) = -l - 1. Let c(a) = i*w(a) - 6*d(a). Factor c(x).
(x - 2)*(x + 1)
Let w(o) = 4*o - 2. Let f be w(1). Let i be ((-8)/(-3) - 2)*3. Factor 0*x + 23*x**f - 1 - x**3 + x - 22*x**i.
-(x - 1)**2*(x + 1)
Solve 97*s**4 - 31*s**4 - 48*s + 16 - 108*s**2 - 8*s**3 - 30*s**4 = 0 for s.
-1, 2/9, 2
Let b(o) be the first derivative of -6*o**6/5 - 21*o**5/5 + 9*o**4 + 5*o**3 - 9*o**2 - 24*o/5 - 154. Let b(a) = 0. Calculate a.
-4, -2/3, -1/4, 1
Let b be 9*((-12)/(-30) - (3 + (-46)/10)). Let -54 - 3/2*x**2 + b*x = 0. Calculate x.
6
Let r(m) be the third derivative of m**7/840 + m**6/180 - m**5/120 - m**4/12 + 16*m**3/3 - 28*m**2. Let q(d) be the first derivative of r(d). Factor q(c).
(c - 1)*(c + 1)*(c + 2)
Let u(c) be the second derivative of -15*c + 4*c**3 + 3/20*c**5 - 5/4*c**4 - 6*c**2 + 0. Factor u(f).
3*(f - 2)**2*(f - 1)
Let i(h) be the third derivative of h**10/75600 + h**9/17280 - h**8/20160 - 4*h**5/15 + 17*h**2. Let m(t) be the third derivative of i(t). Factor m(b).
b**2*(b + 2)*(4*b - 1)/2
Let z(i) be the third derivative of -9*i**6/80 - 131*i**5/40 + 67*i**4/18 - 5*i**3/3 - 99*i**2. Factor z(c).
-(c + 15)*(9*c - 2)**2/6
Suppose -4*k - 9 = 7, 0 = -4*t + 4*k + 12. Let u be (4 - 6)/(t/3). Find b, given that 31 - 17 - 5 + u*b + b**2 = 0.
-3
Factor 9408/5*s - 87808/5 - 336/5*s**2 + 4/5*s**3.
4*(s - 28)**3/5
Let m = 4921 - 4919. Factor 5*p + 3/2*p**m - 4.
(p + 4)*(3*p - 2)/2
Let m = -1578/11 - -6098/33. Let p = m - 41. Factor -p*l + 2/3 - 1/3*l**2.
-(l - 1)*(l + 2)/3
Let w(u) = -u + 2. Let j be w(8). Let l be (2/j - -3)/((-2)/(-3)). Factor -1/3*a**5 + 0*a - a**l + 0*a**2 - 2/3*a**3 + 0.
-a**3*(a + 1)*(a + 2)/3
Let b be 0 - 4 - -8 - 4. Suppose b = -9*y + 23*y - 42. Solve 6*a**5 - 33/2*a + 39/2*a**4 - 3 + 21/2*a**y - 33/2*a**2 = 0 for a.
-2, -1, -1/4, 1
Let d(c) = -16*c**2 - 8*c + c + 0*c + 15*c**2 - 11. Let r be d(-4). Factor -4/3*h - 1/3*h**2 - r.
-(h + 1)*(h + 3)/3
Let n = -4 + 8. Let v = -103/17 + 772/119. Solve 0*t**2 + v*t**n + 0*t + 0 + 6/7*t**3 = 0.
-2, 0
Let l(p) = p**3 - 8*p**2 + 17*p + 14. Let h be l(7). Let k be ((-7)/(h/16))/((-8)/18). Let -4/11*z + 0 - 2/11*z**k - 6/11*z**2 = 0. What is z?
-2, -1, 0
Let v be 3672/1824 + (-2 - 2 - -2). Let n = v - -73/228. Suppose n*a + 0 - 1/3*a**2 = 0. What is a?
0, 1
Let b(h) be the third derivative of 0*h + 12*h**2 - 1/2*h**3 + 3/16*h**4 - 1/40*h**5 + 0. Find t such that b(t) = 0.
1, 2
Factor 55*u + 49*u**3 - 18*u**2 - 5*u**4 + 16*u**3 - 28*u**2 - 69*u**2.
-5*u*(u - 11)*(u - 1)**2
Let r(a) be the second derivative of 1/90*a**5 - a - 1/45*a**6 + 0*a**3 + 0 + 0*a**2 + 1/27*a**4. Factor r(h).
-2*h**2*(h - 1)*(3*h + 2)/9
Let g(z) be the third derivative of z**6/40 + 2*z**5/5 - 5*z**4/2 - 97*z**2. Factor g(c).
3*c*(c - 2)*(c + 10)
Let x(j) be the second derivative of 1/12*j**3 - 1/40*j**5 + 1/8*j**2 + 2*j + 0*j**4 - 1/120*j**6 + 0. Solve x(a) = 0.
-1, 1
Suppose 4/7*g**3 + 12/7*g**5 - 26/7*g**4 + 0*g + 0*g**2 + 0 = 0. Calculate g.
0, 1/6, 2
Let n(y) be the second derivative of -2*y**7/21 - 2*y**6/3 - y**5/5 + 17*y**4/3 + 44*y**3/3 + 16*y**2 + 5*y - 8. Let n(j) = 0. What is j?
-4, -1, 2
Let x(n) = -n**2 + 27*n - 177. Let d be x(13). Suppose -6 = 4*q - 30. Factor 17*z**5 + 4*z - q*z**3 - z - 14*z**d.
3*z*(z - 