. What is j?
-1, 0
Let t(n) = -n**2 - 3*n - 2. Let y = 8 - 5. Let a(c) be the third derivative of -c**5/20 - 3*c**4/8 - c**3 + c**2. Let o(q) = y*a(q) - 8*t(q). Factor o(m).
-(m + 1)*(m + 2)
Let m be 6*(124/(-264) + 5/10). Suppose m*f**5 + 0*f**3 - 2/11*f + 0 - 4/11*f**4 + 4/11*f**2 = 0. Calculate f.
-1, 0, 1
Let x = -11 - -15. Suppose -t**3 + x*t + 4*t - 5*t - 2*t = 0. What is t?
-1, 0, 1
Factor 22*h**3 + 6*h**2 + 11*h**3 + 17*h**4 + 31*h**4 + 21*h**5.
3*h**2*(h + 1)**2*(7*h + 2)
Let v(s) be the third derivative of 4*s**2 + 0 - 3/16*s**4 - 3/4*s**3 - 1/720*s**6 - 1/40*s**5 + 0*s. Factor v(m).
-(m + 3)**3/6
Factor 2/11*b**3 + 6/11*b + 6/11*b**2 + 2/11.
2*(b + 1)**3/11
Let x(v) be the second derivative of -v**4/30 + 2*v**3/15 - v**2/5 - 7*v. What is r in x(r) = 0?
1
Factor y**4 + y**3 + 2*y - 2*y**3 + 4 - 5 - y**3.
(y - 1)**3*(y + 1)
Let x(b) = -3*b**2 - 12*b + 3. Let o(j) = -j**3 + 5*j**2 + 23*j - 7. Let s(f) = 3*o(f) + 5*x(f). Factor s(y).
-3*(y - 1)**2*(y + 2)
Let r(f) = -3*f**4 + 3*f**3 - 6*f**2 - 3*f + 4. Let s(i) = i**4 - i**3 + i. Let a be (-10)/(-15) + 32/(-3). Let t(y) = a*s(y) - 2*r(y). What is p in t(p) = 0?
-1, 1, 2
Let r(i) be the third derivative of -1/6*i**3 + 0*i - 1/30*i**5 + 5/48*i**4 + i**2 + 1/240*i**6 + 0. Let r(m) = 0. What is m?
1, 2
Let g(s) = s**3 + s - 1. Let k(b) = 106*b**3 - 86*b**2 - 36*b + 12. Let i(z) = 4*g(z) + k(z). Factor i(f).
2*(f - 1)*(5*f + 2)*(11*f - 2)
Let o(m) be the third derivative of 7*m**5/120 + m**4/24 + 14*m**2. Solve o(c) = 0.
-2/7, 0
Let k be 0/(5*(-16)/40). Determine v, given that 0 + k*v - 2/11*v**4 - 4/11*v**2 - 6/11*v**3 = 0.
-2, -1, 0
Let m be 1*0/(-3 + -1). Suppose 2*d**2 - 2*d - 2*d - 2*d**4 + m*d + 4*d**3 = 0. What is d?
-1, 0, 1, 2
Suppose -4*x - 20 = -2*i, 25 = -i - 4*x - x. Factor 3/2*t**3 + i + 0*t + 3*t**2.
3*t**2*(t + 2)/2
Let c(l) be the first derivative of -1/12*l**3 + 1/40*l**5 + 0*l**2 - 2 - 3*l + 0*l**4. Let u(d) be the first derivative of c(d). Factor u(h).
h*(h - 1)*(h + 1)/2
Let r(g) be the third derivative of g**8/80640 - g**7/10080 + g**6/2880 - g**5/20 + 2*g**2. Let u(t) be the third derivative of r(t). Factor u(q).
(q - 1)**2/4
Let i = 3/176 + 1/22. Let r(t) be the third derivative of 1/12*t**3 + 2*t**2 - 1/30*t**5 + 0*t - i*t**4 + 0. Determine w so that r(w) = 0.
-1, 1/4
Let h(x) = x**3 + 3*x**2 - 5*x - 4. Let f be h(-4). Suppose f*y**2 + y**2 - y**4 + y**2 - y**3 = 0. What is y?
-2, 0, 1
Let v = -6 + 8. Suppose -d - 2 = -v*d. Solve -2/9*w - 4/9 + 2/9*w**d = 0.
-1, 2
Let o(f) = -f**2 - 10*f - 17. Let h be o(-7). Let p(x) be the first derivative of 0*x + 1/3*x**2 + 4/9*x**3 + 1/6*x**h - 2. Factor p(t).
2*t*(t + 1)**2/3
Let o(h) be the second derivative of -h**8/23520 - h**7/2205 - h**6/504 - h**5/210 + h**4/3 + h. Let b(d) be the third derivative of o(d). Factor b(t).
-2*(t + 1)**2*(t + 2)/7
Let b = 45 + -42. Let t(w) be the first derivative of 0*w**b + 0*w**2 + 0*w**4 + 2 + 2/5*w**5 + 0*w. Determine r, given that t(r) = 0.
0
Let w(t) = -t**2 - 10*t - 18. Let f be w(-4). Let x(u) be the first derivative of -4 - 24/5*u**5 + 24*u**2 - 32*u**3 + 18*u**4 + 1/2*u**f + 0*u. Factor x(k).
3*k*(k - 2)**4
Factor -12/5*p - 18/5 - 2/5*p**2.
-2*(p + 3)**2/5
Let r = -17/24 - -11/8. Let v be (3 + (-27)/18)*(-10)/(-3). Factor r*y**v - 4/3*y**3 + 2/3*y + 0*y**2 + 0 + 0*y**4.
2*y*(y - 1)**2*(y + 1)**2/3
Factor 3/5*a - 6/5 + 3/5*a**2.
3*(a - 1)*(a + 2)/5
Factor 1 - 10 - 5 - 8*n - 2*n**2 + 8.
-2*(n + 1)*(n + 3)
Let s(g) be the first derivative of g**6/160 + g**5/40 + g**4/32 - 2*g**2 - 4. Let j(f) be the second derivative of s(f). Find d such that j(d) = 0.
-1, 0
Factor 0*r**2 - 1/3*r + 0 + 1/3*r**3.
r*(r - 1)*(r + 1)/3
Let j(o) = 2*o**2 + o + 1. Let x be j(-1). Suppose x*t - 3*u - 12 = 0, 4*u = -2*t - 0*u - 16. Suppose -2*z**3 + 6*z**2 - 4 - 4 + t*z**2 = 0. What is z?
-1, 2
Let g(d) be the second derivative of 3*d**5/100 - 3*d**4/5 + 24*d**3/5 - 96*d**2/5 - 7*d. Let g(j) = 0. Calculate j.
4
What is y in -1/5*y**5 + 0*y + 1/5*y**3 + 0 + 1/5*y**4 - 1/5*y**2 = 0?
-1, 0, 1
Let h = -421/4 - -2109/20. Factor 4/5 + h*s**2 + 4/5*s.
(s + 2)**2/5
Let j(z) be the second derivative of z**7/735 + z**6/210 + z**5/210 + 3*z**2 + 6*z. Let s(b) be the first derivative of j(b). Factor s(r).
2*r**2*(r + 1)**2/7
Let a(f) be the first derivative of f**7/420 - f**6/60 + f**5/20 - f**4/12 - 5*f**3/3 - 2. Let z(j) be the third derivative of a(j). Let z(n) = 0. Calculate n.
1
Let u = -2374/3 + 796. Find r such that -49/6*r**2 + u*r - 2/3 = 0.
2/7
Let s be (-10)/(-6)*6/15. Let 0 + 2*n**4 + 0*n + 2/3*n**2 + 2*n**3 + s*n**5 = 0. What is n?
-1, 0
Let j(w) be the second derivative of w**5/80 - w**4/24 - w**3/8 - 9*w. Suppose j(h) = 0. Calculate h.
-1, 0, 3
Let k(m) be the second derivative of m**6/105 - 2*m**5/35 + 5*m**4/42 - 2*m**3/21 - 21*m. Factor k(u).
2*u*(u - 2)*(u - 1)**2/7
Let r(q) be the first derivative of 1/4*q**2 + 2 + 1/4*q + 1/12*q**3. Factor r(a).
(a + 1)**2/4
Factor 1/2*p**2 - 1/2 + 0*p.
(p - 1)*(p + 1)/2
Suppose -8*r = -4*r - 16. Suppose -4*b + 1 + 3 = r*l, -3*b = -5*l + 5. Factor -1/5*n**2 + 0*n + b.
-n**2/5
Let o be (-184)/288 - 6/(-8). Let b(g) be the first derivative of -1/18*g**4 + 0*g - 4/27*g**3 - 1 - o*g**2. Factor b(m).
-2*m*(m + 1)**2/9
Let q(g) be the second derivative of g**9/1008 + 3*g**8/560 + g**7/140 + 7*g**3/6 + 6*g. Let w(c) be the second derivative of q(c). Find d, given that w(d) = 0.
-2, -1, 0
Let -128/11*x - 6/11*x**5 - 32/11 - 192/11*x**2 - 46/11*x**4 - 136/11*x**3 = 0. Calculate x.
-2, -1, -2/3
Let r be (0 - 4/(-12)*2)/2. Factor -r*w + 0*w**2 + 1/3*w**3 + 0.
w*(w - 1)*(w + 1)/3
Factor 0 - 1/2*x**4 + 3/2*x**3 + 1/2*x**2 - 3/2*x.
-x*(x - 3)*(x - 1)*(x + 1)/2
Suppose 0 = l + 2*l - 6. Suppose -l*h + 2 = -4. Factor j**2 - 3 + 4 + j**2 - h.
2*(j - 1)*(j + 1)
Factor -2*p**2 + 3*p**2 - 7*p**2 + 2*p**2 - 12*p.
-4*p*(p + 3)
Let d(x) be the second derivative of 1/27*x**3 + 0*x**2 - 1/54*x**4 + 3*x + 0. Factor d(t).
-2*t*(t - 1)/9
Let h = -88 - -129. Solve s**4 + 40 + 2*s**3 + s - h - 3*s = 0.
-1, 1
Determine y, given that 8 + 41 - 35*y**2 - 4*y**3 - 40*y + 31 - y**3 = 0.
-4, 1
Let q = -1034/3 - -382. Let s = -36 + q. Factor -2/3*m + 2/3*m**5 - 4/3*m**4 + 0 + s*m**2 + 0*m**3.
2*m*(m - 1)**3*(m + 1)/3
Let v(x) be the second derivative of 3/70*x**5 - 4*x - 4/105*x**6 + 0*x**2 + 0 - 4/147*x**7 + 1/21*x**4 - 1/21*x**3. Find j, given that v(j) = 0.
-1, 0, 1/2
Let a(b) be the second derivative of b**4/14 + 2*b**3/21 - 6*b. Factor a(k).
2*k*(3*k + 2)/7
Factor 130/9*v + 2*v**2 + 28/9.
2*(v + 7)*(9*v + 2)/9
Suppose -f + 10 = 3*z, 10 = -2*z + 3*z + 2*f. Suppose 2*w = -3*w - m - 1, -2*w = 2*m + z. Factor 0 - 4/7*p**3 + 2/7*p**2 + w*p + 2/7*p**4.
2*p**2*(p - 1)**2/7
Let f(u) be the third derivative of -u**7/105 - u**6/10 - 2*u**5/5 - 2*u**4/3 - 6*u**2. Suppose f(t) = 0. Calculate t.
-2, 0
Let l = 113 - 449/4. Let -1/4*g**4 - 3/4*g**2 + 0 - l*g**3 - 1/4*g = 0. What is g?
-1, 0
Solve -3/5*j**3 + 3/5*j + 0 + 0*j**2 = 0.
-1, 0, 1
Solve -f - 101*f**4 + 106*f**4 - 15*f**3 + 14*f + 7*f = 0 for f.
-1, 0, 2
Let h be 2/3 + (-8)/(-6). Suppose 5*w + 2*g - 26 = -4, -w - 5*g + 9 = 0. Factor 2*p**3 + p**h - 3*p**3 + 4 - w.
-p**2*(p - 1)
Let l(z) be the third derivative of z**7/735 - z**5/210 - 12*z**2. Solve l(h) = 0 for h.
-1, 0, 1
Let a(o) be the third derivative of -o**9/13608 - o**8/3780 - o**7/3780 - o**3/3 + o**2. Let b(y) be the first derivative of a(y). Factor b(t).
-2*t**3*(t + 1)**2/9
Let k be ((-3 - -6) + -2)*21. Let l = 107/5 - k. Let 0 - 2/5*w**2 - l*w = 0. Calculate w.
-1, 0
Let o(k) = -k - 5. Let z be o(-4). Let j be 10/5 - 1/z. Factor 0 + 16/7*u**2 - 10/7*u**j + 2/7*u**4 - 8/7*u.
2*u*(u - 2)**2*(u - 1)/7
Let u = 65 + -193/3. Let j(d) be the second derivative of -d + u*d**3 + 0 + 0*d**2 + 1/6*d**4 - 3/10*d**5. Factor j(k).
-2*k*(k - 1)*(3*k + 2)
Let v(x) be the first derivative of -x**7/490 - x**6/280 + x**5/140 + x**4/56 - 3*x**2/2 + 2. Let h(y) be the second derivative of v(y). Factor h(t).
-3*t*(t - 1)*(t + 1)**2/7
Factor 1/4*o**2 + 1/4*o + 0.
o*(o + 1)/4
Suppose -4*y - 37 - 3 = -5*v, 0 = -3*v + 2*y + 22. Suppose -v*b = b. Factor 1/2*k**2 + 0*k + b - 1/2*k**3.
-k**2*(k - 1)/2
Let w(n) = 9*n**2 + 71*n + 90. Let m(j) = 6*j**2 + 47*j + 60. Let i(x) = 8*m(x) - 5*w(x). Solve i(g) = 0.
-5, -2
Let p 