ive of r(n). Let a(i) = 0. What is i?
0, 3
Let q(l) be the third derivative of -l**5/180 - 5*l**4/72 - 2*l**3/9 + l**2. Factor q(s).
-(s + 1)*(s + 4)/3
Let c(x) be the second derivative of -x**4/4 - 5*x**3 - 75*x**2/2 + 6*x. Factor c(q).
-3*(q + 5)**2
Determine d so that -22*d + 40*d**2 - 58*d - 14*d**3 + 9*d**3 = 0.
0, 4
Factor -2*c**3 - 5/4*c**2 + 3/4*c + 0.
-c*(c + 1)*(8*c - 3)/4
Let d(b) be the third derivative of b**6/540 + b**5/135 - b**4/108 - 2*b**3/27 + 17*b**2. Factor d(q).
2*(q - 1)*(q + 1)*(q + 2)/9
Factor -4/3*f**3 - 2*f + 3*f**2 + 1/3.
-(f - 1)**2*(4*f - 1)/3
Let x(r) = 4*r**2 + 2*r + 2. Let y be x(-1). Let -6*g**3 + 16*g**4 + g**5 + 0*g**5 - 22*g**y - 3*g**5 - 2*g**2 = 0. Calculate g.
-1, 0
Let i = -26923/6 - -8453/2. Let m = -258 - i. Solve -4/3*p**2 + 2/9*p**3 - 16/9 + m*p = 0.
2
Suppose 2*t + 3*y = 12, 0 = -3*t - 2*t - 4*y + 30. Factor -1 - 1 + 4*q**3 - 4*q - 3*q**2 + t - q**4.
-(q - 2)**2*(q - 1)*(q + 1)
Let r(p) = -p + 13. Let l be r(10). Let k(z) be the second derivative of -2*z - z**2 + 0 - 1/6*z**4 + 2/3*z**l. Find m, given that k(m) = 0.
1
Let i(o) be the second derivative of -4/27*o**6 + 17/54*o**4 + 2/9*o**2 - 3*o + 1/45*o**5 - 11/27*o**3 + 8/189*o**7 + 0. Suppose i(w) = 0. What is w?
-1, 1/2, 2
Let t(m) = -m**3 + 8*m**2 - m + 9. Let o be t(8). Let q be o*(2 - 1) - -2. Factor 2*b**4 + 2*b**4 + 2*b**3 - q*b**5 + 5*b**5.
2*b**3*(b + 1)**2
Let k(s) be the second derivative of 0*s**6 + 1/168*s**7 + 0*s**2 + s - 1/40*s**5 + 0 + 1/24*s**3 + 0*s**4. Factor k(v).
v*(v - 1)**2*(v + 1)**2/4
Let i be (-3)/(-2 + (-27)/(-15)). Let w be ((-12)/i)/(2/(-5)). Determine j, given that 0*j**2 - j**3 + j**w - 3*j**2 = 0.
-2, 0
Let k be (-1)/(-3) - 264/(-18). Let p be ((-6)/k)/(1/(-5)). Solve v**2 + 3 - 2*v**2 - p = 0.
-1, 1
Factor -16 - 391*l**3 - 221*l**4 - 500*l**5 - 1379*l**4 - 1112*l**2 - 1549*l**3 - 304*l - 16.
-4*(l + 1)**2*(5*l + 2)**3
Let -35/6*u**3 + 5/6*u**2 + 20/3*u - 5/6*u**5 - 25/6*u**4 + 10/3 = 0. What is u?
-2, -1, 1
Suppose -34*j = -38*j + 12. Let c(l) be the first derivative of 2*l - 1/3*l**j + 1/2*l**2 - 4. Solve c(v) = 0.
-1, 2
Let s(t) be the second derivative of -169*t**4/4 + 26*t**3 - 6*t**2 - 5*t. Factor s(h).
-3*(13*h - 2)**2
Let s = 8 + -5. Factor 2/3*i**s + 0*i + 0 - 2/3*i**2.
2*i**2*(i - 1)/3
Let p(r) be the first derivative of -r**9/2016 - r**8/560 + r**6/120 + r**5/80 + r**3 + 9. Let y(s) be the third derivative of p(s). Factor y(w).
-3*w*(w - 1)*(w + 1)**3/2
Let z(r) be the second derivative of -2*r**7/21 - 2*r**6/15 + 7*r**5/5 + r**4/3 - 4*r**3 - 31*r. Find g such that z(g) = 0.
-3, -1, 0, 1, 2
Let p(f) = f**2 - 6*f - 7. Let m be p(7). Let g = -14/3 + 76/15. Suppose 0 + g*r**3 - 2/5*r + m*r**2 = 0. What is r?
-1, 0, 1
Suppose 0 = 3*t - 2*z + 1, 3 = 5*t - 0*z - z. Let v be (17/((-357)/(-18)))/(3/14). Find f such that 3*f**3 - t - 3*f**2 - f**3 - 3*f + f**3 + v = 0.
-1, 1
Let r(w) = w**3 + 7*w**2 + 7*w + 9. Let v be r(-6). Let k(y) = -y + 7. Let i be k(4). Solve 2*h**v + 4*h**2 + i*h**2 - 5*h**2 = 0 for h.
-1, 0
Let n = -61 + 63. Factor -34/11*o**3 + 42/11*o**n - 2*o + 10/11*o**4 + 4/11.
2*(o - 1)**3*(5*o - 2)/11
Let l(u) be the first derivative of 4*u**3/15 + 2*u**2/5 + 7. Suppose l(r) = 0. Calculate r.
-1, 0
Let m(i) be the second derivative of -7*i**6/240 + i**5/32 + i**4/48 - 37*i. Factor m(x).
-x**2*(x - 1)*(7*x + 2)/8
Let z(m) be the third derivative of m**5/20 - m**4/2 + 2*m**3 + m**2. Factor z(d).
3*(d - 2)**2
Let s(k) be the first derivative of -k**9/1512 + k**8/280 - k**7/140 + k**6/180 + 5*k**3/3 + 1. Let i(y) be the third derivative of s(y). Factor i(n).
-2*n**2*(n - 1)**3
Let b(n) be the first derivative of -n**5/20 - n**4/8 - n**3/12 + 15. Suppose b(j) = 0. Calculate j.
-1, 0
Let i = 82510/9 - 9198. Let d = -30 - i. Suppose d*q**4 - 2/9*q - 2/9*q**2 + 2/9*q**3 + 0 = 0. Calculate q.
-1, 0, 1
Factor 2*f**4 - 51*f**3 + 32 + f**2 + 39*f**3 + 48*f + f**2.
2*(f - 4)**2*(f + 1)**2
Let z be -6 - -3 - (-1 - 4). What is u in 18/7*u - 2/7*u**4 - 6/7*u**z - 10/7*u**3 + 0 = 0?
-3, 0, 1
Let q(r) be the first derivative of -r**6/3 + 8*r**5/5 - 5*r**4/2 + 4*r**3/3 - 6. Factor q(n).
-2*n**2*(n - 2)*(n - 1)**2
Let d(h) be the first derivative of 1/135*h**6 - 1 + 0*h**2 + 0*h**4 + 0*h**3 + 1/90*h**5 + h. Let v(p) be the first derivative of d(p). Factor v(f).
2*f**3*(f + 1)/9
Let q(u) = -9*u**3. Let j be q(-1). Suppose -14*p**3 + 6*p**5 - j*p**4 + p**2 + 8*p**2 + p**3 + p**3 + 6*p = 0. What is p?
-1, -1/2, 0, 1, 2
Let x = 15 + -23. Let u(t) = 14*t**3 - 8*t**2 + 8*t. Let h(s) = 5*s**3 - 3*s**2 + 3*s. Let l(r) = x*h(r) + 3*u(r). Find v such that l(v) = 0.
0
Factor 36*n**2 + 48 + 19*n - 48 - 3*n.
4*n*(9*n + 4)
Suppose 0*k - 5*k = 0. Let f(t) be the third derivative of 0*t + 0*t**4 + 0 + 0*t**5 + k*t**3 - 3*t**2 + 1/120*t**6. Factor f(i).
i**3
Let o = 21 - 13. Factor 2 - 4*l**4 + 4*l**4 + 2*l**4 + o*l + 8*l**3 + 12*l**2.
2*(l + 1)**4
Factor 6*u + 3*u**2 + 3*u**3 + 9*u**2 - 3*u**2.
3*u*(u + 1)*(u + 2)
Let 3*b**4 + b - 2*b**2 - 2*b**3 - b**4 + b = 0. Calculate b.
-1, 0, 1
Let r be (-6)/(-108)*6 + 0. Determine d so that 0 + r*d**3 + 0*d**2 - 1/3*d = 0.
-1, 0, 1
Find t such that -11*t**4 - 52*t**2 - 50*t**2 - 3*t**5 + 93*t**2 - 15*t**3 - 2*t = 0.
-1, -2/3, 0
Solve -6*c**4 + 0*c**3 + 5*c**4 - c**3 = 0 for c.
-1, 0
Let u = -11 + 11. Let z(o) be the first derivative of -1 + 2*o - 2/3*o**3 + u*o**2. Solve z(q) = 0 for q.
-1, 1
Factor 33*j - 20*j**2 - 8 - 11*j + 22*j.
-4*(j - 2)*(5*j - 1)
Let b(y) be the second derivative of 25*y**7/168 + 11*y**6/24 + 19*y**5/80 - 23*y**4/48 - y**3/3 + y**2/2 - 3*y. Solve b(k) = 0 for k.
-1, 2/5
Let g(n) = 12*n**3 - 6*n**2 - 3*n + 3. Let m(w) = 25*w**3 - 12*w**2 - 5*w + 5. Let u(o) = 5*g(o) - 3*m(o). Suppose u(v) = 0. What is v?
0, 2/5
Let r(t) be the first derivative of 3 + 6*t - 9*t**3 - 21/2*t**2. Determine b, given that r(b) = 0.
-1, 2/9
Let g = -81 - -569/7. Let z(s) = -s**2 - 10*s - 14. Let t be z(-8). Factor 2/7*h**3 - g - 2/7*h + 2/7*h**t.
2*(h - 1)*(h + 1)**2/7
Let t be 4/(-10)*10/(-2). Let w(d) be the first derivative of -2/3*d**3 - 4*d + t - 3*d**2. Factor w(k).
-2*(k + 1)*(k + 2)
Let x(k) be the third derivative of k**9/45360 - k**8/20160 - k**7/1512 - k**6/720 + k**4/6 - 4*k**2. Let m(v) be the second derivative of x(v). Factor m(j).
j*(j - 3)*(j + 1)**2/3
Let w(n) be the third derivative of 1/160*n**6 + 0*n**3 + 1/280*n**7 + 0*n - 1/80*n**5 - 1/448*n**8 + 0*n**4 + 0 - 2*n**2. Factor w(g).
-3*g**2*(g - 1)**2*(g + 1)/4
Let d(v) be the first derivative of v**4/22 - 2*v**3/11 + 2*v**2/11 - 18. Find p, given that d(p) = 0.
0, 1, 2
Factor 2*t**2 - 1/3*t**3 + 0*t - 1/3*t**4 + 0.
-t**2*(t - 2)*(t + 3)/3
Let q be (-2)/(-9)*(-21)/(-14). Suppose 0 + q*y**2 - 1/3*y**4 - 1/3*y**5 + 1/3*y**3 + 0*y = 0. What is y?
-1, 0, 1
Let 5*a**4 + 5*a**3 + 0*a**5 - 19*a**2 - 5*a**5 + 14*a**2 = 0. What is a?
-1, 0, 1
Let q(g) be the second derivative of g**6/70 - 3*g**5/35 + 3*g**4/14 - 2*g**3/7 + 3*g**2/14 - 2*g + 11. Determine h, given that q(h) = 0.
1
Let r(s) be the second derivative of -s**8/36960 - s**7/13860 - s**4/3 + 3*s. Let c(a) be the third derivative of r(a). Suppose c(u) = 0. What is u?
-1, 0
Let q = 27 + -22. Suppose -4 = -q*j + 6. Factor 1/2*x**j + 1/2*x + 0.
x*(x + 1)/2
Let a(t) be the second derivative of -t**7/70 + t**5/10 - t**3/2 + 5*t**2/2 + 3*t. Let v(m) be the first derivative of a(m). What is c in v(c) = 0?
-1, 1
Let d(w) = w - 1 - 2 - 1. Let p be d(6). Let -3*i + i - 4*i**2 + p - 3*i**3 + 2*i**2 + 5*i**3 = 0. Calculate i.
-1, 1
Let z(u) be the first derivative of -121/42*u**4 - 44/21*u**3 + 3 - 4/7*u**2 + u. Let p(s) be the first derivative of z(s). Factor p(n).
-2*(11*n + 2)**2/7
Let i = -66 + 69. Factor 4/5*b**4 + 0 + 2/5*b**5 - 2/5*b + 0*b**i - 4/5*b**2.
2*b*(b - 1)*(b + 1)**3/5
Let g(v) be the first derivative of 0*v**2 + 2 + 0*v**3 + 0*v**5 - 3/4*v**4 + 0*v + 1/2*v**6. What is u in g(u) = 0?
-1, 0, 1
Suppose -2/5*c**3 + 2/5 - 6/5*c + 6/5*c**2 = 0. Calculate c.
1
Suppose -12*f + 8*f = 0. Let x(q) be the second derivative of -q - 1/20*q**5 - 1/6*q**4 + 0 - 1/6*q**3 + f*q**2. What is a in x(a) = 0?
-1, 0
Let i = 65/336 - 3/112. Factor -1/3*z + i*z**2 + 0.
z*(z - 2)/6
Let v(o) be the third derivative of o**8/336 + o**7/70 - o**6/120 - 7*o**5/60 + 2*o**3/3 - 12*o**2. Factor v(c)