 - 2)/13
Factor 3/7*m - 1/7*m**2 - 2/7.
-(m - 2)*(m - 1)/7
Let d(z) be the second derivative of 5*z**4/12 + 55*z**3/3 + 80*z. Suppose d(k) = 0. What is k?
-22, 0
Suppose 5*y - 77 = p, -14*y + 16*y = -p + 35. Factor 3*c**4 + 90 + c**4 + 20*c**3 - 90 + 32*c**2 + y*c.
4*c*(c + 1)*(c + 2)**2
Let w = -67343/4 + 16836. What is h in w*h**2 - 3/2 - 1/4*h = 0?
-2, 3
Let t(d) be the second derivative of 3*d**5/20 - 33*d**4/4 + 16*d**3 - 221*d. Let t(f) = 0. What is f?
0, 1, 32
Let w be (-280)/(-49) + (-4)/(-14). Let t be w + -5 - (-1)/1. Solve -t*n**5 - 4/5*n - 6/5*n**2 + 6/5*n**4 + 0 + 14/5*n**3 = 0.
-1, -2/5, 0, 1
Let v(y) be the first derivative of y**3/3 - 88*y**2 + 7744*y + 13. Factor v(t).
(t - 88)**2
Let s(h) be the third derivative of h**5/90 - 35*h**4/36 + 34*h**3/9 + 97*h**2. Find d, given that s(d) = 0.
1, 34
Solve 441 - 3*z**2 + 42*z - 651 - 5*z + 14*z = 0 for z.
7, 10
Let s = 19 - 17. Factor -8 + 6*j + 7 + 1 + 3*j**s.
3*j*(j + 2)
Let i = -11723/7 - -1675. What is t in -i*t + 1/7 + 1/7*t**2 = 0?
1
Let o(d) = -d - 2. Let t be o(-4). Let k = 46/201 - -490/201. Factor 2/3*u**3 + 16/3 - k*u - 4*u**t + 2/3*u**4.
2*(u - 2)*(u - 1)*(u + 2)**2/3
Let i(u) be the first derivative of -2*u**6/21 + 22*u**5/35 + 4*u**4/7 - 22*u**3/21 - 6*u**2/7 + 228. Suppose i(g) = 0. What is g?
-1, -1/2, 0, 1, 6
Let y(m) be the first derivative of m**2 - 6 + 13/210*m**5 + 0*m**3 + 0*m - 1/42*m**4. Let g(i) be the second derivative of y(i). What is t in g(t) = 0?
0, 2/13
Let l(p) be the third derivative of 3*p**8/224 + 9*p**7/70 + 83*p**6/240 + 23*p**5/60 + p**4/6 - 4*p**2 + 9*p. Solve l(t) = 0 for t.
-4, -1, -2/3, -1/3, 0
Let t = 116/2709 + 54/301. Suppose 2/9*g + 4/9*g**2 + t*g**3 + 0 = 0. What is g?
-1, 0
Let d(w) be the third derivative of -w**7/210 + 13*w**6/120 - w**5 + 14*w**4/3 - 32*w**3/3 - 38*w**2. Factor d(u).
-(u - 4)**3*(u - 1)
Let w(v) be the second derivative of -5*v**4/36 + 133*v**3/9 - 53*v**2/6 - 142*v - 2. Factor w(t).
-(t - 53)*(5*t - 1)/3
Let s = 15432 - 15432. Factor 16/3*b**2 + 4/3*b**4 + s + 0*b - 16/3*b**3.
4*b**2*(b - 2)**2/3
Suppose 2*g - 1 + 16 = 3*y, -2*g = y - 5. Factor -4 + 4 + 6*j**3 + j**y + 2*j**5 + 9*j**4.
3*j**3*(j + 1)*(j + 2)
Let s = -99 + 2080/21. Let k(h) be the second derivative of -6*h - s*h**7 + 5/3*h**3 + 0 - 2/5*h**5 - 1/3*h**4 - 2*h**2 + 4/15*h**6. Find c such that k(c) = 0.
-1, 1, 2
Let 3*i**4 + 21*i**3 + 4*i**2 - 125*i + 39*i - 13*i**2 - 79*i + 150 = 0. Calculate i.
-5, 1, 2
Let v be (36/(-1026))/((-1)/6). Factor -v*x**2 + 4/19 + 2/19*x - 2/19*x**3.
-2*(x - 1)*(x + 1)*(x + 2)/19
Let v(h) = -10*h**3 + 4*h**2 + 3*h. Let m be (-4)/10 - 34/(-10). Let i(j) = j + m*j - 5*j. Let d(n) = 3*i(n) + v(n). Factor d(k).
-2*k**2*(5*k - 2)
Let a(f) = 3*f**2 + 8*f - 3. Let j(t) be the second derivative of -t**4/12 - t**3/6 + 12*t. Let b(i) = -a(i) - 4*j(i). Solve b(s) = 0 for s.
1, 3
Suppose -4*v + 26 - 18 = 0. Factor 7/3*n + 5/3*n**3 - 2/3 - 3*n**v - 1/3*n**4.
-(n - 2)*(n - 1)**3/3
Let x = -14 - -11. Let d(m) = m**2 + 2*m + 1. Let z be d(x). Solve h**3 + h**3 - 9*h - z + 6*h**2 + 7*h - 2*h**4 = 0.
-1, 1, 2
Let n(x) = -x. Let y(a) = 5*a**2 + 211*a + 2205. Let r(u) = -n(u) - y(u). Factor r(p).
-5*(p + 21)**2
Let x(k) be the second derivative of 0 + 1/7*k**3 + 1/42*k**4 + 13*k - 3/70*k**5 - 1/105*k**6 + 0*k**2. Find q, given that x(q) = 0.
-3, -1, 0, 1
Suppose 0*b - 6 = -2*b + 2*s, 0 = -5*b - s + 33. Let f = b - 4. Determine i so that -i**3 - 6*i**5 - 4*i**f + 15*i**4 - 10*i**3 + 2*i**3 + i**2 + 3*i = 0.
-1/2, 0, 1
Let z(v) be the first derivative of v**5/60 - 5*v**4/24 + v**3 - 10*v**2 + 27. Let f(m) be the second derivative of z(m). Factor f(o).
(o - 3)*(o - 2)
Let q(z) = z**3 - 2*z**2 + z. Let j be q(1). Suppose 0*m + m = 4*g + 15, -2*m + g + 9 = j. Factor 1 - 1 - 3*y**2 - m*y + 0*y.
-3*y*(y + 1)
Let t be ((-8)/(-12))/(70/(-567)*-9). Determine k so that -1/5*k**3 - 3/5*k + 1/5 + t*k**2 = 0.
1
Let h = 1/243 - -79/486. Let u(p) be the second derivative of 0*p**2 - 1/30*p**6 + 0 + 1/20*p**5 + 1/12*p**4 - h*p**3 - 5*p. Factor u(r).
-r*(r - 1)**2*(r + 1)
Suppose -8 = -11*g + 10*g. Let a = g - 54/7. Find f such that -2/7*f**4 + 0 + 0*f + 2/7*f**2 + 2/7*f**3 - a*f**5 = 0.
-1, 0, 1
Let j be 119/252 + (-2)/9. Suppose y = -y - y. Factor y + f**2 - j*f.
f*(4*f - 1)/4
Let z be 3/(-3) - (-2631)/696. Let j = z - 48/29. Factor j*l**5 - 1/8 - 15/4*l**2 + 23/4*l**3 + 9/8*l - 33/8*l**4.
(l - 1)**3*(3*l - 1)**2/8
Let o(z) be the third derivative of -z**8/168 + 2*z**7/21 - 3*z**6/5 + 9*z**5/5 - 9*z**4/4 + 17*z**2 + 5. Find w such that o(w) = 0.
0, 1, 3
Let a(r) be the third derivative of r**6/30 - 2*r**5/5 - 7*r**4/6 + 208*r**2. Factor a(k).
4*k*(k - 7)*(k + 1)
Let g(a) be the second derivative of 38*a + 4/11*a**2 + 7/66*a**3 + 0 - 1/132*a**4. Let g(v) = 0. Calculate v.
-1, 8
Suppose 5*y + 38 = c - 6, -c + y + 24 = 0. Find l, given that l**3 + l - 23*l**2 + c*l**2 + 1 + 5 = 0.
-1, 2, 3
Find j, given that -j**3 + 4*j**2 + 12*j**5 + 15*j**3 - 4*j**4 + 8*j - 34*j**3 = 0.
-1, -2/3, 0, 1
Let r be 14/308 + 27/132. Determine k, given that 0*k + k**4 + 0 - 5/4*k**3 - r*k**5 + 1/2*k**2 = 0.
0, 1, 2
Find f such that 0*f - 1/4*f**5 + 0 + 13/4*f**2 + 11/4*f**4 + 25/4*f**3 = 0.
-1, 0, 13
Let k = -9809/30 - -327. Let x(l) be the first derivative of -5 + 0*l - 1/9*l**3 - k*l**5 + 1/8*l**4 + 0*l**2. Factor x(m).
-m**2*(m - 2)*(m - 1)/6
Let w be 12/30 - 4/10. Let d be ((-4)/(-5))/2 + (-91)/(-35). Factor -d*k + w*k**4 + 5 - 3*k**4 + 9*k - 2 - 6*k**3.
-3*(k - 1)*(k + 1)**3
Let i(r) be the second derivative of 7*r**2 + 2*r**3 + 8*r + 0 - 1/6*r**4. Factor i(t).
-2*(t - 7)*(t + 1)
Let 6*r**2 - 4*r**3 - 166*r**5 - 162*r**5 + 2*r**2 + 332*r**5 - 8*r**4 = 0. Calculate r.
-1, 0, 1, 2
Let h(o) be the first derivative of o**6/15 - 4*o**4/5 + 16*o**2/5 - 105. Factor h(i).
2*i*(i - 2)**2*(i + 2)**2/5
Let w = 21 - 19. Suppose -w*t = k - 16, -t = 5*k - 17 - 0. Factor 2 - 9*y**4 + 4*y**3 + t*y**4 - 4*y + 3*y**2 - 3*y**2.
-2*(y - 1)**3*(y + 1)
Suppose 585/4*z + 675/4 - 87/4*z**2 + 3/4*z**3 = 0. What is z?
-1, 15
Let t be ((-9)/((-396)/8))/(5/55). Let g(q) be the first derivative of -21/20*q**4 - q**3 + 5 - 12/5*q + 24/5*q**t. Factor g(s).
-3*(s - 1)*(s + 2)*(7*s - 2)/5
Let v(r) = 40*r**2 + 304*r - 11559. Let q(b) = -34*b**2 - 304*b + 11558. Let g(w) = 7*q(w) + 6*v(w). Factor g(n).
2*(n - 76)**2
Let b(z) = -4*z**2 + 1. Let r(y) = -13233*y**2 + 920*y - 14. Let m(j) = 2*b(j) - r(j). Factor m(f).
(115*f - 4)**2
Let u(t) be the second derivative of -t**7/15 + t**6/50 + 11*t**5/25 - 37*t**4/60 + 2*t**2/5 + 29*t. Find q such that u(q) = 0.
-2, -2/7, 1/2, 1
Suppose 750*f + 270 = 765*f. Suppose f*l - 6 - 39/2*l**2 + 9*l**3 - 3/2*l**4 = 0. What is l?
1, 2
Let m(g) be the third derivative of 0 + 0*g**3 + 1/12*g**4 - 1/60*g**5 - 18*g**2 + 0*g. Let m(y) = 0. Calculate y.
0, 2
Let l(p) be the first derivative of -3*p**4/20 + 3*p**3/5 + 33*p**2/5 - 72*p/5 - 283. Factor l(f).
-3*(f - 6)*(f - 1)*(f + 4)/5
Let t = 12 + -7. Suppose 1 = p - 2*o - 3, 2*p + t*o = -10. Find l, given that p + 2/13*l + 2/13*l**3 - 4/13*l**2 = 0.
0, 1
Let f(d) be the first derivative of -d**6/420 - d**5/420 - 19*d**2/2 + 12. Let r(l) be the second derivative of f(l). Let r(c) = 0. Calculate c.
-1/2, 0
Let a(t) be the third derivative of 2*t**2 - 2/21*t**3 + 0*t + 1/84*t**4 + 0 + 1/14*t**5. Factor a(o).
2*(3*o - 1)*(5*o + 2)/7
Let l(m) be the second derivative of -m**4/102 - m**3/51 - 4*m - 1. Determine n so that l(n) = 0.
-1, 0
Let f(v) be the second derivative of -v**5/4 + 3*v**3/2 + 2*v**2 - 14*v. Let l(a) = -5*a**3 + 8*a + 3. Let k(h) = 3*f(h) - 4*l(h). Let k(d) = 0. What is d?
-1, 0, 1
Let q(b) be the first derivative of b**6/6 + 3*b**5/5 - 3*b**4/2 - 10*b**3/3 + 21*b**2/2 - 9*b - 9. Factor q(i).
(i - 1)**3*(i + 3)**2
Let h be ((-438)/90 - -5)/(16/20). Factor h*z**3 + 1/2*z + 1/2*z**2 + 1/6.
(z + 1)**3/6
Suppose 5*m - 96 + 6 = 0. Let n = m - 12. Suppose -5*o**2 + 4 - 2 - 6*o**2 + 3*o**2 + n*o = 0. Calculate o.
-1/4, 1
Suppose 4*t = -16, 5*t - 29 - 21 = -5*b. Find g, given that -11*g - b*g**2 - g + 10*g**2 = 0.
-3, 0
Let o(w) be the third derivative of -2/33*w**4 - 12*w**2 + 16/33*w**3 + 0*w + 1/330*w**5 + 0. Factor o(s).
2*(s - 4)**2/11
Let s(g) = 1. Suppose 14*f - 12*f + 4 = 0. Let d(w) = -w**2 + w. Let i(h) = f*s(h) - d(h).