hird derivative of -v**5/30 + v**4/20 + 2*v**3/15 + 9*v**2. Let f(x) = 0. What is x?
-2/5, 1
Suppose -92 = -5*q + 93. Suppose 4*g + 13 = q. What is n in -1/4 + 9/4*n + 4*n**3 - g*n**2 = 0?
1/4, 1
What is d in -4/3*d**2 - 4*d - 8/3 = 0?
-2, -1
Let x = 96 + -56. Suppose -5*r + x = 5*p, -4*p + 2 = -r - 5. Factor -8/5*h**4 + 0 + 12/5*h**3 + 2/5*h**r + 2/5*h - 8/5*h**2.
2*h*(h - 1)**4/5
Let u(x) be the first derivative of -3*x**4 + x**6 + 3*x**2 + 9/5*x**5 - 3*x**3 + 6 + 0*x. What is q in u(q) = 0?
-2, -1, 0, 1/2, 1
Suppose -1220*y - 18 = -1229*y. Factor 2/13*s**4 + 8/13*s**3 + 2/13 + 8/13*s + 12/13*s**y.
2*(s + 1)**4/13
Let u(p) be the third derivative of p**7/2520 - p**6/360 + p**4/8 + p**2. Let l(x) be the second derivative of u(x). Factor l(q).
q*(q - 2)
Factor -3*z**4 - 36*z - 14*z**2 - 8*z**3 - 10*z**3 - 5*z**2 - 12 - 20*z**2.
-3*(z + 1)**2*(z + 2)**2
Let k(u) be the second derivative of -u**4/78 + 4*u**3/39 + 5*u**2/13 - 11*u. Factor k(o).
-2*(o - 5)*(o + 1)/13
Let x(p) be the first derivative of 0*p**2 - 1/18*p**6 + 1/9*p**3 + 1/12*p**4 - 3 - 1/15*p**5 + 0*p. Factor x(j).
-j**2*(j - 1)*(j + 1)**2/3
Let z be (1 - (-4 + 1)) + 12. Suppose 13*f = z*f. Let -a**2 + 1/5*a - 1/5*a**3 + 17/5*a**4 + 12/5*a**5 + f = 0. Calculate a.
-1, 0, 1/4, 1/3
Factor s**3 - 6/5*s**2 - 1/5*s**4 + 8/5 - 4/5*s.
-(s - 2)**3*(s + 1)/5
Suppose 4*n + 4*b - 6 - 14 = 0, 0 = b - 3. Let 4/3*i + n + 2/9*i**2 = 0. What is i?
-3
Let t(m) = -m + 1. Let l(i) = -5*i**2 - 6*i + 11. Let f(v) = l(v) - t(v). Factor f(g).
-5*(g - 1)*(g + 2)
Suppose 5*t + m - 32 = 5*m, -4*m = -3*t + 24. Determine z, given that -18/11*z - 2/11*z**5 - 4/11 - 28/11*z**3 - 32/11*z**2 - 12/11*z**t = 0.
-2, -1
Let w be 24/10 + 11/((-77)/14). Factor -6/5*v - w*v**2 - 4/5.
-2*(v + 1)*(v + 2)/5
Let q(t) be the second derivative of 2*t + 0 - 1/16*t**4 - 3/8*t**2 - 1/4*t**3. Factor q(s).
-3*(s + 1)**2/4
Let u be 72/32 - 6/(-8). Suppose 3*c**3 - c**2 + u*c + c**3 - 2*c**2 + 3*c**4 - 7*c**3 = 0. Calculate c.
-1, 0, 1
Let n be 50/11 + (-4)/((-3)/(-3)). Factor -2/11*r**2 - 8/11*r - n.
-2*(r + 1)*(r + 3)/11
Let p be (-12 - -10)/(1/(-2)). Let l(y) = -y + 7. Let u be l(5). Solve -w + 1/2*w**p + w**3 + 0*w**u - 1/2 = 0 for w.
-1, 1
Determine l so that 22/13*l - 14/13*l**2 - 10/13 + 2/13*l**3 = 0.
1, 5
Suppose 3*z - 6 = 6*z. Let g be 0 + (z - (-21)/9). Determine i, given that 0 + g*i + 1/3*i**3 + 2/3*i**2 = 0.
-1, 0
Let u be (-52)/195*30/(-36). Factor u*s**2 + 8/9 + 8/9*s.
2*(s + 2)**2/9
Let x(b) be the third derivative of b**7/735 + b**6/210 - b**5/30 + b**4/21 + 3*b**2 - b. Factor x(w).
2*w*(w - 1)**2*(w + 4)/7
Let n be 45/(-30)*(-8)/6. Let x(t) be the second derivative of 2*t + 1/2*t**n + 1/4*t**3 + 1/24*t**4 + 0. Solve x(i) = 0 for i.
-2, -1
Suppose m + m - 6 = 0. Let h be -2*(3/m)/(-6). Factor 0*o + 0 - 1/3*o**3 + h*o**2.
-o**2*(o - 1)/3
Let f = -41/3 + 14. Factor -1/3*w**3 + 2/3 + f*w - 2/3*w**2.
-(w - 1)*(w + 1)*(w + 2)/3
Let a(q) = -3*q**2 - 4*q + 7. Let n(l) = -6*l**2 - 9*l + 15. Let h(m) = -9*a(m) + 4*n(m). Determine b so that h(b) = 0.
-1, 1
Let d(p) be the third derivative of -p**5/60 - p**4/6 - p**3/3 + 12*p**2. Let j be d(-2). Factor -i**2 - j*i - 4/3 - 1/6*i**3.
-(i + 2)**3/6
Let j be 16/16*(-1 + 3)/10. Determine h, given that -j*h + 1/5*h**2 - 2/5 = 0.
-1, 2
Let f(q) = 3*q - 20. Let g be f(8). Let l(h) = h**2 - h + 3. Let p be l(0). Factor -r**g + r + 0*r**2 + r**p + r**2 + 0*r - 2*r**3.
-r*(r - 1)*(r + 1)**2
Let q(b) be the third derivative of -5*b**8/84 - b**7/14 + 5*b**6/24 + b**5/4 - 5*b**4/24 + 11*b**2. Find w such that q(w) = 0.
-1, 0, 1/4, 1
Let f be -4 + -1 + -2320 + 0. Let z = f - -16305/7. Suppose -z*s**4 - 4/7 - 2/7*s + 34/7*s**2 + 2/7*s**3 = 0. Calculate s.
-1, -1/3, 2/5, 1
Let k(y) be the second derivative of -2/15*y**6 + 0*y**2 - 2/21*y**7 + 1/3*y**4 - 10*y + 1/5*y**5 + 0 + 0*y**3. Factor k(f).
-4*f**2*(f - 1)*(f + 1)**2
Let i(z) = z**2 - 7*z + 6. Let l be i(6). Suppose -2*u + 3*g + 4 = l, -2*g - 6 = -3*u - 0*g. Factor 0 - o - 1/2*o**u.
-o*(o + 2)/2
Let v(n) be the third derivative of n**9/30240 + n**8/13440 - n**7/5040 - n**6/1440 - n**4/12 + n**2. Let w(y) be the second derivative of v(y). Factor w(d).
d*(d - 1)*(d + 1)**2/2
Let n(j) be the second derivative of j**4/96 - j**3/48 - 8*j. Factor n(s).
s*(s - 1)/8
Let d(i) = -26*i**2 - 141*i + 35. Let k(f) = -25*f**2 - 140*f + 35. Let v(r) = 5*d(r) - 6*k(r). Factor v(u).
5*(u + 7)*(4*u - 1)
Factor 0 + 4/3*j + 2/3*j**4 + 10/3*j**2 + 8/3*j**3.
2*j*(j + 1)**2*(j + 2)/3
Let r(z) = 15*z**3 + 130*z**2 + 350*z - 490. Let l(d) = 23*d**3 + 195*d**2 + 525*d - 735. Let f(t) = 5*l(t) - 8*r(t). Factor f(p).
-5*(p - 1)*(p + 7)**2
Find d such that 0 - 4/3*d**2 + 4/3*d**3 + 0*d - 1/3*d**4 = 0.
0, 2
Factor 0 - 5/2*r**2 + 0*r - 5/2*r**3.
-5*r**2*(r + 1)/2
Let m be 3/6 - (-21)/(-54). Let o(v) be the first derivative of 2 - m*v**3 - 2/3*v + 1/2*v**2. Let o(n) = 0. Calculate n.
1, 2
Let a be ((-4)/6)/2*0. Let v(s) be the second derivative of 1/10*s**5 + 0*s**4 + s + a*s**2 + 0*s**6 + 0 - 1/21*s**7 + 0*s**3. Factor v(l).
-2*l**3*(l - 1)*(l + 1)
Suppose 2*z + 5*m = -56 - 15, -4*z + 2*m = 202. Let s be (-4)/6 + z/(-45). Determine g, given that -2/5*g**2 - s + 4/5*g = 0.
1
Factor -20*a**3 + 2*a**4 - 14*a**4 - 8*a**2 + 0*a + 0*a.
-4*a**2*(a + 1)*(3*a + 2)
Let y(b) be the third derivative of -b**6/200 - b**5/50 + 15*b**2. Factor y(z).
-3*z**2*(z + 2)/5
Let l(q) be the second derivative of 0*q**6 + 0 + 0*q**5 + 2*q + 1/42*q**7 + 0*q**4 + 0*q**3 + 0*q**2. Factor l(a).
a**5
Let d(r) be the second derivative of r**4/16 + 5*r**3/8 + 3*r. Solve d(v) = 0 for v.
-5, 0
Let q(i) be the second derivative of i**7/14 - 2*i**6/5 + 9*i**5/10 - i**4 + i**3/2 + 3*i. Determine u, given that q(u) = 0.
0, 1
Let y = 22 + -22. Factor y*v**2 + 6*v**2 - 2*v - v - 3*v**2.
3*v*(v - 1)
Let c(z) be the second derivative of z**7/42 - 3*z**5/20 + z**4/6 - 9*z. Solve c(t) = 0 for t.
-2, 0, 1
Let b(q) be the third derivative of -1/60*q**5 - 1/126*q**7 + 0 - 1/672*q**8 - 1/60*q**6 + 0*q**3 + 4*q**2 - 1/144*q**4 + 0*q. Factor b(m).
-m*(m + 1)**3*(3*m + 1)/6
Let p(y) = -2*y**5 + 6*y**4 - 11*y**3 + 7*y. Let x(s) = -s**5 + 3*s**4 - 5*s**3 + 3*s. Suppose 9 = 3*l - 0. Let u(o) = l*p(o) - 7*x(o). Solve u(c) = 0.
0, 1, 2
Let o be (3/4)/1*20. Factor c - 44*c**3 - o*c + 5 + 26*c**4 - 3 + 36*c**2 - 6*c**5.
-2*(c - 1)**4*(3*c - 1)
Let v(f) = f**5 - f**3 - f**2. Let y(b) = 2*b**5 + 2*b**4 - 4*b**3 - 4*b**2. Let r = 1 - 5. Let d(g) = r*v(g) + y(g). Suppose d(a) = 0. Calculate a.
0, 1
Factor -4/7*u**3 + 8/7 + 2/7*u**4 - 6/7*u**2 + 8/7*u.
2*(u - 2)**2*(u + 1)**2/7
Let z(w) be the third derivative of 1/240*w**5 + 0*w - 4*w**2 + 1/480*w**6 + 0*w**4 + 0*w**3 + 0. Determine b, given that z(b) = 0.
-1, 0
Let f(q) be the second derivative of 3*q + 3/16*q**2 + 0 - 1/8*q**3 + 1/32*q**4. Solve f(r) = 0 for r.
1
Let t(b) = -2*b - 6. Let j be t(-5). Factor -j*k**3 + 5*k**3 - 6*k + 9*k - 4*k.
k*(k - 1)*(k + 1)
Let l(d) = -5*d**3 + d**2 + 8*d - 4. Let h(w) = 6*w**3 - 9*w + 6. Let t(u) = 2*h(u) + 3*l(u). What is p in t(p) = 0?
-1, 0, 2
Factor 2/7*f**4 - 4/7*f**3 + 0*f**2 + 4/7*f - 2/7.
2*(f - 1)**3*(f + 1)/7
Let y be 1/((-15)/(-6)) + (-1)/15. Solve y*r**2 + 0 + 0*r + 1/3*r**4 + 2/3*r**3 = 0.
-1, 0
Let j be 2 + 0 + (2 - 2). Determine r, given that -2 + r**j + 3 - 1 - 3*r + 2 = 0.
1, 2
Factor -6*g**3 + 15/2*g**2 - 3/2*g + 0.
-3*g*(g - 1)*(4*g - 1)/2
Factor -8/11 + 18/11*f**2 - 32/11*f.
2*(f - 2)*(9*f + 2)/11
Let 0 + 0*z - 1/2*z**2 + 1/4*z**3 + 1/4*z**4 = 0. What is z?
-2, 0, 1
Let v(m) = -1. Let t(i) = -i + 9. Let g be t(7). Let a(r) = r**5 + r**4 - r**3 - r**2 - 5. Let q(y) = g*a(y) - 10*v(y). Let q(l) = 0. What is l?
-1, 0, 1
Suppose 4*r = 8*r. Let v(l) be the second derivative of -2*l - 1/30*l**4 - 1/30*l**7 + r*l**2 + 1/75*l**6 + 0 + 7/100*l**5 + 0*l**3. Let v(g) = 0. Calculate g.
-1, 0, 2/7, 1
Let h(y) be the first derivative of y**6/6 + y**5/5 - y**4/4 - y**3/3 + 8. Solve h(o) = 0 for o.
-1, 0, 1
Let o(h) be the third derivative of h**5/570 + h**4/228 - 2*h**3/57 - 26*h**2. Suppose o(t) = 0. Calculate t.
-2, 1
Let i(t) be the first derivative of -t**4/6 - 14*t**3/9 - 10*t**2/3 + 21. Factor i(y).
-2*y*(y + 2)*(y + 5)/3
Let l be 1*-2 + (5 - -2). Let j(g) be the first derivative of 1/2*g**4 - 2 + g**3 - 1/5*g**l - 2*g**2 - 4*g.