rd derivative of q**8/70560 - q**7/5880 - q**5/15 + 21*q**2. Let u(m) be the third derivative of o(m). Find v such that u(v) = 0.
0, 3
Let j(k) be the second derivative of k**7/294 - k**6/70 + 3*k**5/140 - k**4/84 + 4*k - 10. Suppose j(w) = 0. Calculate w.
0, 1
Factor -330*p + 337*p + 898 - 899 + p**2 - 7*p**3.
-(p - 1)*(p + 1)*(7*p - 1)
Let d(k) = 15*k**4 + 23*k**3 - 22*k**2 - 7*k. Let h(r) = -30*r**4 - 45*r**3 + 45*r**2 + 15*r. Let q(x) = -5*d(x) - 3*h(x). Factor q(z).
5*z*(z - 1)*(z + 2)*(3*z + 1)
Suppose -5 = -w - 14. Let l = w - -12. Let 5 - 5 + 9*r**2 + 0 - 6*r**4 - 3 - l*r**3 + 3*r = 0. What is r?
-1, 1/2, 1
Let i(y) be the second derivative of -3*y - 1/4*y**4 + 0 + 3/2*y**2 + 0*y**3 + 1/40*y**6 + 1/20*y**5. Let t(r) be the first derivative of i(r). Factor t(k).
3*k*(k - 1)*(k + 2)
Suppose 0 = -z - 2 + 8. Suppose z*c - c = 130. Suppose -2*t**4 + 74*t**5 - 70*t**5 + 36*t**3 + c*t**4 = 0. Calculate t.
-3, 0
Let n be (-2)/(-12) - (-210)/36. Determine c, given that 4*c**3 + c**2 - c**3 + 48 - 22*c**2 - 24*c - n*c**3 = 0.
-4, 1
Let x(m) be the third derivative of m**5/140 - m**4/14 - 6*m**3/7 + 2*m**2 + 9. Factor x(b).
3*(b - 6)*(b + 2)/7
Let z(t) be the third derivative of t**8/26880 - t**7/3360 + t**6/960 - t**5/480 + 13*t**4/24 + 5*t**2. Let c(j) be the second derivative of z(j). Factor c(o).
(o - 1)**3/4
Let x(m) be the second derivative of m**4/32 - 51*m**3/16 + 147*m**2/8 + 77*m. Let x(q) = 0. What is q?
2, 49
Let f(a) = -a**3 - 4*a**2 - a - 1. Let n be f(-4). Let w(r) = r**3. Let s(j) = j**5 + j**4 - 3*j**3. Let q(z) = n*s(z) + 3*w(z). Let q(t) = 0. Calculate t.
-2, 0, 1
Let m(q) be the second derivative of 4/15*q**6 - 1/5*q**5 + 2/3*q**3 - 6*q + 0 - 1/4*q**2 - 5/8*q**4. Factor m(l).
(l - 1)*(l + 1)*(4*l - 1)**2/2
Suppose -8 = 2*z - 6*z. Factor -21*o**4 + 2*o**z - 15*o**3 + 4*o**2 + 3*o**2 - 3*o**2.
-3*o**2*(o + 1)*(7*o - 2)
Determine r so that 10*r**2 + 20*r**2 + 24*r - 2*r**3 + 7*r**2 - 15*r**2 = 0.
-1, 0, 12
Let i(r) be the first derivative of r**3/4 - 45*r**2/2 - 183*r/4 + 33. Factor i(c).
3*(c - 61)*(c + 1)/4
Suppose 18*n = 7*n + 22. Determine p so that 12 + 6*p**2 + 5*p**2 + 21*p**2 - 10*p**n - 34*p = 0.
6/11, 1
Solve -j**4 - 2*j**4 - 8*j**2 - 8*j**2 + 7*j**4 = 0.
-2, 0, 2
Suppose 8*k - 9*k + 1 = 0. Let u be (13/(-5) + 3)/k. Determine v, given that 4/5*v - u*v**2 - 2/5 = 0.
1
Let b be (7/(-22) - (-2)/(-11))*2. Let x be 2 + 2/(-4)*0/b. Factor -1/3*g + 0 + 1/3*g**3 + 0*g**x.
g*(g - 1)*(g + 1)/3
Suppose -5*i = 0, 4*l - 33 = -5*i + 11. Factor 12*f**3 + 21*f - l*f - 15*f**2 - 7*f.
3*f*(f - 1)*(4*f - 1)
Let k(c) be the second derivative of -c**4/12 + 23*c**3/3 - 529*c**2/2 - 4*c + 52. Factor k(i).
-(i - 23)**2
Let u(m) be the third derivative of -m**6/24 - 11*m**5/15 - 31*m**4/24 + 4*m**3/3 - m**2 - 2. Let u(p) = 0. What is p?
-8, -1, 1/5
Let a(g) = g**3 - g**2 - 2. Let q be a(2). Suppose 0 = 4*w - 3*w - 3*m + 13, -5*w + 2*m = 0. Solve -q*l**2 + l**w + 0*l**2 = 0.
0
Let u = -138 - -144. Let b(y) be the third derivative of 6*y**2 + 0 - 1/180*y**u + 1/12*y**4 + 2/9*y**3 + 0*y + 0*y**5. Solve b(c) = 0.
-1, 2
Let x be 0 + 7 + (-1)/(8 - 7). Let y be (1/(x + -3))/2. Factor 0 - y*t**2 + 1/6*t.
-t*(t - 1)/6
Let j = 1158/1285 - 26/257. Factor 8/5 + j*h - 4/5*h**2.
-4*(h - 2)*(h + 1)/5
Let r(h) be the first derivative of h**6/21 + 2*h**5/35 - h**4/14 - 2*h**3/21 + 11. Let r(y) = 0. Calculate y.
-1, 0, 1
Determine z, given that -16/5 - 33/5*z - 2/5*z**2 = 0.
-16, -1/2
Let x(r) = -8*r**3 + r - 8*r**2 - 6*r + 16 + 7*r**3. Let a be x(-7). Factor -12/5*z - 9/5 - 3/5*z**a.
-3*(z + 1)*(z + 3)/5
Let -41*j - 32 - 19*j**2 + 17*j**2 + 36*j**2 + 13*j + 26*j**2 = 0. What is j?
-8/15, 1
Let h(c) be the third derivative of c**6/1020 + c**5/510 - c**4/204 - c**3/51 + 5*c**2 + 6. Factor h(f).
2*(f - 1)*(f + 1)**2/17
Let h(k) = 10*k**4 - 20*k**3 + 20*k**2 + 5*k + 15. Let c = -4 - 11. Let x(n) = -n**4 + n**3 - n**2 - 1. Let w(y) = c*x(y) - h(y). Solve w(j) = 0.
-1, 0, 1
Suppose d - 9 = -6. Factor -906*t**2 - 4*t**5 - 6*t**4 + 912*t**2 - 2*t**5 + d*t**5 + 3*t.
-3*t*(t - 1)*(t + 1)**3
Let o(p) = -p**3 - 9*p**2 - 10*p - 17. Let x be o(-7). Let l be (20/14)/(x/(-35)). Suppose 14/9*u**3 + 0 - l*u**2 - 4/9*u = 0. Calculate u.
-2/7, 0, 1
Suppose 3*j + 5*h - 1 = 0, h = 4*j - 2*j - 5. Factor -5*r**2 - 1 - 2*r - r**j + r**2 + 4*r**2.
-(r + 1)**2
Let k(p) be the second derivative of -p**7/70 + p**6/25 + 3*p**5/50 - p**4/5 - p**3/10 + 3*p**2/5 + p + 2. Determine z, given that k(z) = 0.
-1, 1, 2
Find n such that -144/5*n**3 + 6/5*n**5 - 12*n**4 + 0*n**2 + 0 + 0*n = 0.
-2, 0, 12
Let b(d) be the third derivative of -d**7/1050 + d**5/100 - d**4/60 + 28*d**2. Solve b(o) = 0 for o.
-2, 0, 1
Let v(q) be the first derivative of 2*q**4 + 0*q**2 + 4/5*q**5 + 5 + 4/3*q**3 + 0*q. Suppose v(k) = 0. Calculate k.
-1, 0
Factor 6*f**3 + 48*f**2 - 64*f + 2*f**4 + 258 + 14*f**3 - 514.
2*(f - 2)*(f + 4)**3
Factor -2/7*h**2 - 2/7*h + 2/7 + 2/7*h**3.
2*(h - 1)**2*(h + 1)/7
Let u be (-4)/(-38) + 660/228. Factor -u*z**2 - 76 - 68*z + 98*z + 1.
-3*(z - 5)**2
Let g(l) = -13*l**2 - 101*l - 103. Let y(w) = -2*w**2 - w - 2. Let o(v) = g(v) - 5*y(v). Factor o(r).
-3*(r + 1)*(r + 31)
Let r(o) be the second derivative of 0*o**3 - 2/45*o**6 + 3*o + 0 - 1/126*o**7 - 1/18*o**4 - 1/12*o**5 + 0*o**2. Factor r(h).
-h**2*(h + 1)**2*(h + 2)/3
Let h(b) = b**2 + b - 1. Let j(f) = -2 + 0*f - f**3 + 4*f**2 + 9*f - 4*f - 1. Let w(c) = 3*h(c) - j(c). Factor w(k).
k*(k - 2)*(k + 1)
Let t be ((-227)/(-3405))/(2/15). Factor 0 - 3/2*b - t*b**2.
-b*(b + 3)/2
Let b = 18597 - 18594. Factor 0 + 4/5*y**b - 2/5*y + 2/5*y**2.
2*y*(y + 1)*(2*y - 1)/5
Let s(n) = -n**3 - 7*n**2 - 6*n - 12. Let h be s(-5). Let v be (7 + -3)*(-24)/h. Factor 0 + 2*a**2 + 3*a**v + 0*a + 3/2*a**4 + 1/4*a**5.
a**2*(a + 2)**3/4
Let x be (0/6)/(28/14). Let x + 2/3*j**3 - 1/3*j - 1/3*j**5 + 0*j**4 + 0*j**2 = 0. Calculate j.
-1, 0, 1
Suppose 0 + 3/5*z**3 - 2*z + 29/5*z**2 = 0. What is z?
-10, 0, 1/3
Let n(v) be the second derivative of 5*v**4/12 - 5*v**3/6 - 15*v**2 - 186*v - 2. Find w, given that n(w) = 0.
-2, 3
Determine b, given that 43/2 + 3/4*b**4 - 137/4*b**3 + 351/4*b**2 - 303/4*b = 0.
2/3, 1, 43
Let o = -40989/5 - -8199. What is l in 0*l**3 - 12/5*l**5 + 0 + 0*l - 18/5*l**4 + o*l**2 = 0?
-1, 0, 1/2
Let z(k) = k**2 - k - 1. Let t(o) = 20*o**2 - 154*o + 2294. Let b(w) = 2*t(w) - 36*z(w). Find h such that b(h) = 0.
34
Let g(l) be the second derivative of 1/2*l**4 + 0*l**2 - 1/3*l**3 - 2*l + 1/10*l**5 + 0 - 1/5*l**6. Find r such that g(r) = 0.
-1, 0, 1/3, 1
Let k(r) be the first derivative of 3*r**4/8 + 10*r**3/3 + 3*r**2 + 33. Let k(h) = 0. Calculate h.
-6, -2/3, 0
Let x = 113/4 - 6779/240. Let w(n) be the third derivative of 5*n**2 + 0 + 1/480*n**6 - x*n**5 + 0*n - 1/96*n**4 + 1/840*n**7 + 0*n**3. Factor w(q).
q*(q - 1)*(q + 1)**2/4
Let n = 502 - 6529/13. Let y = -5/78 - n. What is v in 1/6*v**3 - y*v**2 + 0 + 1/6*v**4 - 1/6*v = 0?
-1, 0, 1
Let u(g) be the first derivative of -3*g**3 + 9*g - 3/4*g**4 + 3/2*g**2 + 14. Factor u(a).
-3*(a - 1)*(a + 1)*(a + 3)
Let z(c) be the second derivative of -22*c**4/21 + c**3/7 + 13*c + 19. Factor z(h).
-2*h*(44*h - 3)/7
Let r(o) = -22*o**4 - 380*o**3 - 1170*o**2 - 1491*o - 669. Let d(s) = 3*s**4 - s + 1. Let m(c) = -6*d(c) + r(c). Determine h so that m(h) = 0.
-5, -3/2
Let p(z) = -2*z**2 - 36*z - 28. Let q be p(-17). Determine o so that -3*o**5 - 9*o**3 - 277*o + 5*o**4 + q*o**4 - 7*o**2 + 289*o - 4 = 0.
-1, 2/3, 1, 2
Let a(k) = -k**2 + 2*k + 3. Suppose -9*l = 16 - 7. Let u be a(l). Let u - 2/3*x - 2/3*x**2 = 0. What is x?
-1, 0
Let o(s) = 3*s + 5. Let t(z) = 2*z + 3. Let u(v) = -5*o(v) + 7*t(v). Let j be u(-6). Factor k + 0*k + 6 - 4*k + 0*k - 3*k**j.
-3*(k - 1)*(k + 2)
Let w(m) be the second derivative of -7*m**6/10 - 237*m**5/20 - 39*m**4/2 + 62*m**3 + 60*m**2 + 28*m - 1. Let w(i) = 0. Calculate i.
-10, -2, -2/7, 1
Determine b so that -8*b**3 + 9/2*b**5 - 2*b**2 + 11/2*b**4 + 0*b + 0 = 0.
-2, -2/9, 0, 1
Suppose -4*u + 18 = 4*v + v, 5*u - v - 8 = 0. Factor 2160*t**u + 398*t**3 - 78*t**3 + 348 + 2958 + 4860*t + 339.
5*(4*t + 9)**3
Let b(v) = -v**3 + 3*v**2 + 4*v + 3. Let o be b(4). Factor 2*g - 4*g + o + 2*g**3 - 3.
2*g*(g - 1)*(g + 1)
Let -121 - 166*n**2 - 24*n**4 + 146*n - 410*n + 23*n**4 - 24*n**3 = 0. Calcul