nd derivative of t(v). Let h(p) = 0. What is p?
-2, 0
Let z(d) be the third derivative of -d**7/45 - 19*d**6/180 - 4*d**5/45 + d**4/9 - 8*d**2. Suppose z(i) = 0. What is i?
-2, -1, 0, 2/7
Let t(i) = i**2 + 2*i. Let j be t(-3). Suppose -4*v**3 - j*v**3 + 4*v**3 + v**3 + 2*v = 0. Calculate v.
-1, 0, 1
Let r = -3187/4 - -215123/270. Let k(h) be the third derivative of 0 + 0*h**4 + 0*h**5 - 2*h**2 + 0*h**3 - r*h**6 + 0*h. Factor k(l).
-2*l**3/9
Let j(i) = -i**5 - i**4 - i**3 - i**2 - i - 1. Let s(r) = -14*r**5 - 14*r**4 - 2*r**3 - 2*r**2 - 14*r - 14. Let z(o) = 10*j(o) - s(o). Factor z(f).
4*(f - 1)**2*(f + 1)**3
Let t(z) be the first derivative of -z**6/540 - z**5/270 - z**2 + 3. Let f(r) be the second derivative of t(r). Factor f(i).
-2*i**2*(i + 1)/9
Suppose -u + 1 = -2. Let o = 67/21 - 20/7. Factor -o*c**2 + 0 - 1/3*c**4 + 0*c + 2/3*c**u.
-c**2*(c - 1)**2/3
Let z(n) = n**3 - 6*n**2 + 5*n + 2. Let h be z(5). Factor 4/3 - h*o**3 + 2/3*o - 8/3*o**2.
-2*(o + 1)**2*(3*o - 2)/3
Suppose -4*q + 3*u - 12 = q, -q = -u + 4. Let d be 22/(-10) + (q - -3). Suppose d*a**3 - 12/5*a - 16/5*a**2 + 18/5*a**4 + 8/5*a**5 - 2/5 = 0. What is a?
-1, -1/4, 1
Suppose -6*z = -2*z + 12. Let r = 3 + z. Factor 0*g**2 - 2/3*g + 2/3*g**3 + r.
2*g*(g - 1)*(g + 1)/3
Factor -y**2 - y - 3*y - 2 - 2*y + 3*y.
-(y + 1)*(y + 2)
Let d(y) be the third derivative of 5*y**5/4 - 5*y**4/3 + 5*y**3/6 - 20*y**2. Let d(a) = 0. What is a?
1/5, 1/3
Let q be (36/48)/(1/4). Factor -1/3*j**q - 2/3*j**2 - 1/3*j + 0.
-j*(j + 1)**2/3
Let n = 9 - -25. Suppose 0*m - 5*m + n = 3*x, -m = -4*x + 7. Factor 4*y**3 - y - y**4 + 2*y**4 + 2*y - 5*y + x*y**2 - 4.
(y - 1)*(y + 1)*(y + 2)**2
Let i(p) be the first derivative of -p**8/840 + p**6/60 - p**5/30 + p**3 - 1. Let u(l) be the third derivative of i(l). Solve u(d) = 0 for d.
-2, 0, 1
Let v(f) = -21*f**3 + 39*f**2 - 35*f + 11. Let i(c) = 41*c**3 - 79*c**2 + 69*c - 21. Let n(a) = -6*i(a) - 10*v(a). Factor n(q).
-4*(q - 1)*(3*q - 2)**2
Let o(u) be the second derivative of -u**6/105 + 3*u**5/70 - 4*u**3/21 - 28*u. Solve o(x) = 0.
-1, 0, 2
Let z(y) be the first derivative of -y**4/28 + y**3/21 + y**2/14 - y/7 - 18. Factor z(u).
-(u - 1)**2*(u + 1)/7
Let f(j) be the second derivative of -j**4/3 - 3*j**3/2 - j**2 - 9*j. What is r in f(r) = 0?
-2, -1/4
Let c(n) be the first derivative of -n**8/504 + n**7/315 + n**6/180 - n**5/90 - 5*n**2/2 - 2. Let l(h) be the second derivative of c(h). Factor l(d).
-2*d**2*(d - 1)**2*(d + 1)/3
Suppose -8 = -2*q - 2*q. Suppose 3*c - 6 = -c - z, -z - q = 0. Solve -3 - 2*a**2 - 7 + c*a + 6*a + 2 = 0.
2
Let b = 31/6 - 89/18. Let l(p) be the first derivative of 0*p + 1/18*p**4 + 3 + b*p**3 + 2/9*p**2. Factor l(j).
2*j*(j + 1)*(j + 2)/9
Let z(a) be the second derivative of a**8/2240 + a**7/420 - a**4/4 + 4*a. Let g(h) be the third derivative of z(h). Solve g(d) = 0 for d.
-2, 0
Let v be 9 + (-376)/40 + (-4)/(-5). Factor v + 16/5*o**2 + 11/5*o + 7/5*o**3.
(o + 1)**2*(7*o + 2)/5
Suppose 0*m = m + 2*q - 4, -2*m = -q - 3. Factor -3*c**m - c + 3*c**3 + c + 0*c.
3*c**2*(c - 1)
Factor 3*f**5 + 0*f**5 - 18*f**3 + 12*f**3 + 3*f.
3*f*(f - 1)**2*(f + 1)**2
Let o(z) = 17*z**3 - 1. Let q be o(1). Suppose y**3 + 27*y**2 + 3*y**4 - q*y**3 - 30*y + 6 + 9*y = 0. Calculate y.
1, 2
Let i(b) be the first derivative of b**3/4 - 3*b**2/4 + 3*b/4 - 10. Find j, given that i(j) = 0.
1
Let c(f) be the second derivative of f**5/360 - f**3/36 - f**2/2 + 2*f. Let u(v) be the first derivative of c(v). Find y such that u(y) = 0.
-1, 1
Let u(n) be the third derivative of 0 + n**2 - 1/60*n**5 + 0*n**4 + 0*n - 1/60*n**6 - 1/210*n**7 + 0*n**3. Factor u(g).
-g**2*(g + 1)**2
Let p = 4649/5 + -929. Factor p - 2/5*x**2 + 2/5*x.
-2*(x - 2)*(x + 1)/5
Let a(h) = 12*h**3 + 33*h**2 - 123*h - 36. Let t(d) = -d**2 - 2*d - 1. Let l(g) = a(g) - 6*t(g). Let l(n) = 0. Calculate n.
-5, -1/4, 2
Let z be (-688)/(-448) - (2 + (-24)/14). Find f, given that 0 + 5/4*f**5 + 1/2*f**2 - 1/2*f**4 + 0*f - z*f**3 = 0.
-1, 0, 2/5, 1
Let g(n) be the third derivative of 1/270*n**5 + 0*n + 1/54*n**4 + 3*n**2 + 0 + 0*n**3. Determine p, given that g(p) = 0.
-2, 0
Let z(x) = 24*x**3 - 249*x**2 + 684*x + 210. Let h(m) = 49*m**3 - 499*m**2 + 1368*m + 418. Let r(l) = 3*h(l) - 7*z(l). Factor r(n).
-3*(n - 6)**2*(7*n + 2)
Let x = -7/47 + 439/423. Suppose -2/3*g**3 + x*g**2 + 0 - 2/9*g = 0. Calculate g.
0, 1/3, 1
Let k be -3 + -1 - -1 - -8. Suppose -10 = -k*r + 3*z, 2*z - 40 = -4*r - 10. Solve r*f + 0*f + f + 3*f**2 = 0.
-2, 0
Let w(t) = t**3 - 12*t**2 + 23*t - 28. Let f be w(10). Factor 2/3*x**f - 1/3*x + 0 - 1/3*x**3.
-x*(x - 1)**2/3
Let t(q) = -q**2 + 4*q - 1. Let r(k) = -k**3 - 7*k**2 + k + 9. Let i be r(-7). Let w be t(i). Find a, given that -5 - 2*a + w + 3 + a**2 = 0.
1
Solve 0*i + i**4 - 3*i + 2*i + i**2 - 2*i + 3*i**3 - 2 = 0.
-2, -1, 1
Let b(y) be the second derivative of y**5/120 + y**4/24 + 3*y**2/2 - 3*y. Let t(x) be the first derivative of b(x). Suppose t(c) = 0. Calculate c.
-2, 0
Let a be 1/6 - (-285)/18. Determine q, given that -1 - a*q + 10*q**2 - 2*q**3 + 11 - 2 = 0.
1, 2
Let f(u) be the third derivative of -1/60*u**6 + 3*u**2 + 1/15*u**5 + 0 + 0*u - 2/3*u**3 + 1/12*u**4. Factor f(w).
-2*(w - 2)*(w - 1)*(w + 1)
Let l be 25/3 - (-2)/3. Let c(f) = -f + 14. Let r be c(l). Factor -1/3*n**r + 1/3*n - 2/3*n**4 + 2/3*n**2 + 0*n**3 + 0.
-n*(n - 1)*(n + 1)**3/3
Let m be (-8)/(-18)*(-13 - -16). Let m*k**4 - 10/3*k**3 + 8/3 - 2*k**2 + 16/3*k = 0. Calculate k.
-1, -1/2, 2
Let m(n) be the third derivative of -n**9/60480 + n**8/10080 - n**7/5040 - n**5/12 + 2*n**2. Let l(j) be the third derivative of m(j). Factor l(k).
-k*(k - 1)**2
Let s be -4*(-9)/(-2 - -5). Let t be (4/(-70))/(s/(-240)). Factor -2/7*r**4 + 6/7*r**2 + 4/7*r**3 - 8/7 - t*r.
-2*(r - 2)**2*(r + 1)**2/7
Suppose 4*l = -l - 25. Let h = -2 - l. Determine t so that 2*t + 0 - 2*t**2 - 4 - 2*t**h + 6*t**2 = 0.
-1, 1, 2
Let o = 317 + -2851/9. Find q, given that 0 + o*q**2 + 4/9*q = 0.
-2, 0
Solve 11/4*q**2 - 1 - q - 9/4*q**4 + 3/2*q**3 = 0.
-2/3, 1
Suppose 3*m = -3, -4*c - 5*m = -4*m - 11. Let i be ((-4)/(-24))/(2/c). Factor -1/4*l**2 + 1/4*l - 1/4*l**3 + 0 + i*l**4.
l*(l - 1)**2*(l + 1)/4
Factor 8 + 0*z**2 + 5*z**2 - 12*z - z**2.
4*(z - 2)*(z - 1)
Let y(f) = f**3 - 12*f**2 + 13*f - 22. Let c be y(11). What is i in c + i - i**3 - 7/2*i**2 + 7/2*i**4 = 0?
-1, 0, 2/7, 1
Let f(p) be the second derivative of p**7/70 - 2*p**6/25 + 9*p**5/100 + p - 50. Factor f(y).
3*y**3*(y - 3)*(y - 1)/5
Let d be (1/10)/((8/5)/4). Let t(k) be the second derivative of 1/8*k**4 - d*k**3 + 0 - 4*k + 0*k**2. Let t(f) = 0. What is f?
0, 1
Let j = 1085 - 81373/75. Let b(w) be the third derivative of 0*w + 0 + j*w**5 + 0*w**4 - 2/75*w**6 + 4*w**2 + 0*w**3 - 1/840*w**8 + 1/105*w**7. Factor b(l).
-2*l**2*(l - 2)**2*(l - 1)/5
Let b(c) be the second derivative of 2/9*c**3 + 0*c**2 - 1/20*c**5 + 0 + 0*c**4 - 1/90*c**6 + c. Solve b(m) = 0 for m.
-2, 0, 1
Let y(m) be the first derivative of m**3 - 15*m**2/2 - 18*m - 20. What is s in y(s) = 0?
-1, 6
Let x(c) = c**2 - 11*c + 14. Let y be x(10). Determine q so that 5*q**3 - y*q**2 - 3*q**3 - 1 + 1 + 2*q = 0.
0, 1
Let x be ((-33)/15 - -2) + 52/10. Factor 0 + 0*t**2 - 2/9*t + 0*t**4 - 2/9*t**x + 4/9*t**3.
-2*t*(t - 1)**2*(t + 1)**2/9
Let p be (-12)/120*(2 - 6). Suppose p + 4/5*g - 2/5*g**4 + 0*g**2 - 4/5*g**3 = 0. Calculate g.
-1, 1
Let o(l) be the third derivative of -l**9/7560 + l**7/630 - l**5/60 + l**4/4 - 7*l**2. Let q(w) be the second derivative of o(w). Solve q(x) = 0.
-1, 1
Let y(i) = -2*i**2 - 10*i + 12. Let l be y(-6). Let h(w) be the first derivative of -2/21*w**3 + l*w + 3 - 2/7*w**2. Factor h(o).
-2*o*(o + 2)/7
Let x = -147/5 - -28. Let j = x - -8/5. Factor j*p**2 + 3/5*p + 2/5.
(p + 1)*(p + 2)/5
Let f(r) = 2*r**3 - 5*r**2 - 2*r + 2. Let k(g) = g**3 - g**2 - g. Suppose 0 = -5*m - 43 + 13. Let q(d) = m*k(d) + 2*f(d). Factor q(b).
-2*(b - 1)*(b + 1)*(b + 2)
Let r(g) = -g - 1. Let n = -7 + 6. Let q be r(n). Factor -1/3*l**3 + 0*l - 1/3*l**5 + 0*l**2 + q - 2/3*l**4.
-l**3*(l + 1)**2/3
Factor -7*h + 10*h**3 + 3*h**2 - 4 - 2 + 3*h**4 - h**3 - 2*h.
3*(h - 1)*(h + 1)**2*(h + 2)
Let j be 14/24*12/294. Let f(i) be the second derivative of 2*i + 0*i**2 + j*i**4 + 0*i**3 + 0. Find s, given that f(s) = 0.
0
Let g(k) = 3*k**4 + 7*k*