*r**6/1440 - r**5/40 - r**4/24 - r**3/3 + 2. Let z(k) be the third derivative of g(k). Factor z(s).
(s - 2)*(7*s + 2)/4
Solve -1/4 - 25/4*m**2 + 5/2*m = 0 for m.
1/5
Factor -b**2 + 2*b - b - b**2 + 9*b - 8.
-2*(b - 4)*(b - 1)
Factor -8*z - 26 + 11 + 9 - 2*z**2.
-2*(z + 1)*(z + 3)
Let s(o) be the first derivative of -2/3*o**3 - 2*o + 2*o**2 - 2. What is d in s(d) = 0?
1
Factor 8/7*k**3 + 0*k**2 - 6/7*k + 2/7.
2*(k + 1)*(2*k - 1)**2/7
Let t = 4/21 - -40/231. Suppose 2/11*f**2 + 0*f + 2/11*f**4 + 0 + t*f**3 = 0. Calculate f.
-1, 0
Let p(t) = -4*t - 1. Let d be p(-1). Let h be (-6)/36*2/(-1). Suppose -1/3*u**4 + h*u**2 + 1/2*u**d + 0 - 1/2*u**5 + 0*u = 0. Calculate u.
-1, -2/3, 0, 1
Let j be 2/(1/(-6) + 290/300). Find b, given that 2 + 3/2*b**2 - 6*b + j*b**3 = 0.
-2, 2/5, 1
Let z(a) be the third derivative of a**6/660 - a**5/110 + a**4/66 + a**2. What is n in z(n) = 0?
0, 1, 2
Let i = 2 - 0. Suppose -3*g + 3 = v - 4, -2*v + 11 = 3*g. Factor 4/9*r + 2/9 - 4/9*r**3 - 2/9*r**v + 0*r**i.
-2*(r - 1)*(r + 1)**3/9
Let j be (-2)/((-28)/82) + -63 + 58. Find p such that -18/7 - j*p - 2/7*p**3 + 10/7*p**2 = 0.
-1, 3
Suppose 0 = 3*g + g - 216. Let d be ((-12)/g)/(1/(-1)). Solve 0 + 4/9*l**2 + d*l + 2/9*l**3 = 0 for l.
-1, 0
Let o = 34 - 28. Let b(n) be the third derivative of -1/360*n**o + 0*n**5 + 0 - 2/315*n**7 + 0*n**3 - n**2 + 0*n + 0*n**4. Find q, given that b(q) = 0.
-1/4, 0
Let s(v) be the third derivative of v**8/112 + 3*v**2. Determine q so that s(q) = 0.
0
Let j = -8 + 10. Factor -u**5 + 7*u**4 + u + 5*u**4 + 2*u**j - 14*u**4.
-u*(u - 1)*(u + 1)**3
Let 146*c**4 - 3*c**3 + 2*c**2 - 143*c**4 - 2*c**2 = 0. Calculate c.
0, 1
Let b = -5 + 10. Suppose 0 = -5*v + j + 13, 0 = -b*v + 5*j + 22 + 3. Solve -5*o**4 + v*o**3 + 4*o**4 - o**4 = 0.
0, 1
Let v(h) = 20*h**3 - 38*h**2 - 47*h. Let p(g) = -7*g**3 + 13*g**2 + 16*g. Let j(l) = -11*p(l) - 4*v(l). Factor j(c).
-3*c*(c - 4)*(c + 1)
Let h be 4/240*2/2. Let c(r) be the third derivative of 3/40*r**6 + 0 - 2*r**2 + 0*r**3 + 1/84*r**8 - 1/24*r**4 + 11/210*r**7 + h*r**5 + 0*r. Factor c(d).
d*(d + 1)**3*(4*d - 1)
Let o(r) = r**3 - 12*r**2 + 11*r - 3. Let h(a) = -4*a**3 + 60*a**2 - 56*a + 16. Let t(p) = -3*h(p) - 16*o(p). Suppose t(j) = 0. What is j?
0, 1, 2
Solve 0*x**2 + 0*x + 0 - 2/17*x**3 + 2/17*x**4 = 0 for x.
0, 1
Let b be (-3)/(42/(-838)) - 425/85. Solve 0 + 416/7*q**4 + 30/7*q**2 - 2/7*q - b*q**5 - 24*q**3 = 0.
0, 1/4, 1/3
Factor 0*g - 4/5*g**3 + 4/5*g**2 + 0.
-4*g**2*(g - 1)/5
Let j = 171 + -168. Let l(y) be the first derivative of -2 + 0*y**2 - 8/25*y**5 + 1/10*y**4 + 0*y + 4/15*y**j - 1/5*y**6. Suppose l(v) = 0. What is v?
-1, 0, 2/3
Let u be 4/(4/5) + -2. Let q be ((-9)/(-2))/(9/12). What is z in q*z**2 + z**4 - u*z**2 - 3*z**3 - 2*z + z = 0?
0, 1
Let u(v) be the first derivative of 3*v**4/2 - 8*v**3/3 + 4*v**2/3 - 6. Factor u(a).
2*a*(3*a - 2)**2/3
Let i = -19 - -13. Let j be (9/i)/(-3) + 0. What is k in k + 0 + j*k**2 = 0?
-2, 0
Let p(f) be the first derivative of f**3/15 - 4*f**2/5 + 16*f/5 - 13. Factor p(t).
(t - 4)**2/5
Let b(y) be the first derivative of -y**7/210 + y**5/60 + 3*y**2/2 - 4. Let c(q) be the second derivative of b(q). Factor c(p).
-p**2*(p - 1)*(p + 1)
Let f(d) be the second derivative of 0 - 1/18*d**4 + 1/126*d**7 - 2*d + 0*d**3 + 0*d**2 + 0*d**6 - 1/20*d**5. Find t such that f(t) = 0.
-1, 0, 2
Determine v, given that 0 - 3/8*v**5 + 3/8*v**3 + 0*v - 9/4*v**4 + 9/4*v**2 = 0.
-6, -1, 0, 1
Let j(w) = 8*w**2 - 15*w + 13. Let p(v) = -7*v**2 + 15*v - 12. Let n(z) = 2*j(z) + 3*p(z). Determine a so that n(a) = 0.
1, 2
Let s(f) be the second derivative of f**5/10 - f**4/6 - 2*f**3/3 + 9*f. Solve s(q) = 0 for q.
-1, 0, 2
Determine d, given that -2/5*d**3 + 4/15 - 2/15*d**4 - 2/15*d**2 + 2/5*d = 0.
-2, -1, 1
Let v be (2 - -1 - -5)/2. Suppose 3*s - s - 2*m = 0, v = -3*s + 5*m. Factor -1/2 - 1/2*g**3 + 1/2*g + 1/2*g**s.
-(g - 1)**2*(g + 1)/2
Let i be 128/56 - (1 + (-10)/14). Let c(u) be the second derivative of 0*u**i - u - 1/90*u**6 + 1/18*u**3 - 1/60*u**5 + 0 + 1/36*u**4. What is p in c(p) = 0?
-1, 0, 1
Let v(f) be the first derivative of f**5/5 + f**4/4 - 3. Suppose v(g) = 0. What is g?
-1, 0
Let m(k) = 3*k**4 + 2*k**2 + 4*k + 1. Let h(z) = 19*z**4 + z**3 + 13*z**2 + 25*z + 7. Let u(y) = -6*h(y) + 39*m(y). Factor u(w).
3*(w - 1)**3*(w + 1)
Suppose 2*s - 2 = 2*k, 0 = -2*s - 4*k + 7 + 13. Let w(y) be the second derivative of 1/14*y**s - 1/7*y**2 + 0 - 2/21*y**3 + y. Factor w(b).
2*(b - 1)*(3*b + 1)/7
Let c be 6/(-8) + (-12)/(-16). Let p(r) be the second derivative of 0 + c*r**2 - 40/231*r**7 - 3/55*r**5 + 7/66*r**4 + 2/33*r**3 + 2*r - 4/15*r**6. Factor p(d).
-2*d*(2*d + 1)**3*(5*d - 2)/11
Suppose -16*t**4 + 12*t**2 + 36 - 26*t**3 + 3*t**4 + 7*t**4 - 2*t**2 + 114*t = 0. Calculate t.
-3, -1/3, 2
Let w(s) be the second derivative of -3*s**5/40 + 3*s**4/8 - 3*s**3/4 + 3*s**2/4 - s. Factor w(j).
-3*(j - 1)**3/2
Let d(w) be the third derivative of -w**8/1680 + w**7/105 - w**6/15 + 4*w**5/15 + 3*w**4/8 - 8*w**2. Let s(y) be the second derivative of d(y). Factor s(m).
-4*(m - 2)**3
Let c(t) = -16*t**5 + 18*t**4 + 16*t**3 - 18*t**2 - 18*t. Let v(z) = -z**5 + z**4 + z**3 - z**2 - z. Let x(y) = 2*c(y) - 36*v(y). Find n, given that x(n) = 0.
-1, 0, 1
Let r(v) = 3*v - 34. Let x be r(12). Find y such that 2*y**5 - 8/9*y + 8/3*y**x - 8/3*y**4 + 0 - 10/9*y**3 = 0.
-1, 0, 2/3, 1
Suppose -3 = o - 7. Let r(n) be the first derivative of -81*n**o + 4 - 21*n**3 + 3*n - 1 + n + 5*n**2 + 5*n**2. Factor r(g).
-(4*g - 1)*(9*g + 2)**2
Let b(l) = -4*l**4 - 9*l**3 + 17*l**2 + 9*l - 8. Let w(i) = 4*i**4 + 10*i**3 - 18*i**2 - 10*i + 8. Let q(p) = 6*b(p) + 5*w(p). Factor q(z).
-4*(z - 1)**2*(z + 1)*(z + 2)
Let x = 4151/110 + -13/55. Factor 0 + 0*f - x*f**5 - 6*f**3 + 0*f**2 + 30*f**4.
-3*f**3*(5*f - 2)**2/2
Let 0*l - 8/5*l**3 + 6/5*l**4 + 2/5*l**2 + 0 = 0. Calculate l.
0, 1/3, 1
Let z(m) = -m + 2. Let p be z(-2). Suppose -3*x = -0*u - 4*u + 20, -2*u - 5*x - 16 = 0. Solve 2*o**2 + o**p - 4*o**u + o**4 = 0 for o.
-1, 0, 1
Let c be (-4)/1*2/(-4). Determine b, given that 2*b + 3*b**2 + c - 3*b**2 - 1 + b**2 = 0.
-1
Suppose 46*i = 68*i - 66. Determine d, given that -4/3*d**2 - 2/3 + 2*d**4 + 2*d - 2/3*d**5 - 4/3*d**i = 0.
-1, 1
Suppose -152 = -5*u - o - 53, 115 = 5*u + 5*o. Suppose 11*c - 32*c + u*c - c**2 = 0. What is c?
-2, 0
Let b = -3/11 + 41/110. Let y(g) be the third derivative of 0 + 0*g**3 + 0*g - 1/12*g**4 - g**2 - b*g**5 + 1/15*g**6. Factor y(n).
2*n*(n - 1)*(4*n + 1)
Let p(c) = -2*c**3 + 8*c**2 - 2*c. Let l(j) = -2*j**3 - 6*j + 7*j**2 + 4*j + j. Let g(o) = -6*l(o) + 5*p(o). Factor g(r).
2*r*(r - 2)*(r + 1)
Let b(w) = 9*w**2 - 19*w + 4. Let i(y) = -80*y**2 + 172*y - 36. Let p(t) = -28*b(t) - 3*i(t). Factor p(c).
-4*(c - 1)*(3*c - 1)
Let n(c) = 13*c**3 - 11*c + 19. Let i(p) = -9*p**3 + 7*p - 13. Let t(o) = -7*i(o) - 5*n(o). Determine u, given that t(u) = 0.
-2, 1
Let s(n) be the first derivative of -1/21*n**3 + 1/35*n**5 - 3 + 1/7*n**2 + 0*n - 1/14*n**4. Factor s(l).
l*(l - 2)*(l - 1)*(l + 1)/7
Let v(t) be the first derivative of -t**4/6 - t**3 - 2*t**2 - t - 4. Let y(g) be the first derivative of v(g). Let y(f) = 0. Calculate f.
-2, -1
Let c(f) = -10*f**2 - 15*f + 5. Let r(a) = -9*a**2 - 14*a + 4. Let t(x) = -4*c(x) + 5*r(x). Factor t(b).
-5*b*(b + 2)
Let c(b) be the third derivative of -b**8/3360 - b**7/630 - b**4/24 + 2*b**2. Let t(p) be the second derivative of c(p). Find k such that t(k) = 0.
-2, 0
Let g(q) be the first derivative of -q**7/4200 - q**6/900 - 2*q**3 - 8. Let s(a) be the third derivative of g(a). Factor s(y).
-y**2*(y + 2)/5
Let f be (-6)/(-10) - ((-1449)/(-180))/23. Factor 1/2 - 1/4*c**2 - f*c.
-(c - 1)*(c + 2)/4
Let q(b) be the third derivative of -b**5/450 + b**4/90 + b**3/15 + 29*b**2. Suppose q(u) = 0. Calculate u.
-1, 3
Let c(q) be the second derivative of -3*q + 0 - 1/15*q**3 + 0*q**2 + 1/30*q**4. Determine w so that c(w) = 0.
0, 1
Let a(j) = -j + 18. Let u be a(7). Let -16*s + s**4 - 8*s**2 + u*s**4 + 0*s - 3 + 16*s**3 - 1 = 0. What is s?
-1, -1/3, 1
Let d(c) = -2*c**2 - 4*c. Let b(l) = -l**3 - 2*l**2 - 5*l - 1. Let w(t) = -4*b(t) + 6*d(t). What is u in w(u) = 0?
-1, 1
Let t = 1366/5 - 272. Find j such that -14/5*j**3 - 2*j**2 + 0 - t*j**4 - 2/5*j = 0.
-1, -1/3, 0
Let j(r) be the second deri