d derivative of -5*j**7/126 - 2*j**6/15 + j**5/60 + j**4/3 + 2*j**3/9 - 15*j + 2. Suppose d(s) = 0. What is s?
-2, -1, -2/5, 0, 1
Let h(c) be the first derivative of -c**7/105 - c**6/60 + c**5/30 + c**4/12 + c**2 - 7. Let w(i) be the second derivative of h(i). Suppose w(p) = 0. What is p?
-1, 0, 1
Let f(t) be the second derivative of 4/5*t**5 + 11/12*t**4 + 1/3*t**3 + 7/30*t**6 + 0 + 0*t**2 - 2*t. Factor f(w).
w*(w + 1)**2*(7*w + 2)
Let z = -157 + 475/3. Let d(b) = -b**2 - 5*b - 1. Let x be d(-4). Factor 2/3*j**4 - 2/3 - 4/3*j + 0*j**2 + z*j**x.
2*(j - 1)*(j + 1)**3/3
Let n(c) be the first derivative of 1/12*c**3 - 1/2*c - 1/8*c**2 - 3. Find u such that n(u) = 0.
-1, 2
Let l be (-52)/(-52)*(-2)/(-16)*2. Let -l + 1/4*u**5 - 1/2*u**3 + 1/4*u - 1/4*u**4 + 1/2*u**2 = 0. Calculate u.
-1, 1
Suppose 3/2*r**2 + r**3 - r + 0 - 3/2*r**4 = 0. Calculate r.
-1, 0, 2/3, 1
Let k be 2/3*(-15)/(-2). Let j = -3 + k. What is m in 2*m**3 + m**2 + 2*m**2 + m**4 - 2*m**j = 0?
-1, 0
Let c(o) = -6*o - 4*o + 8 + 2*o + 10*o**2 + 10*o**3. Let p(v) = v**3 + v**2 - v + 1. Let t(x) = c(x) - 8*p(x). Factor t(z).
2*z**2*(z + 1)
Factor -39*q - 6*q**2 + 0*q**2 + 19 + 39*q**3 - 13.
3*(q - 1)*(q + 1)*(13*q - 2)
Suppose 0 + 3/2*m**5 - 3/2*m + 3*m**2 + 0*m**3 - 3*m**4 = 0. What is m?
-1, 0, 1
Let x(o) be the third derivative of 0*o + 2*o**2 + 0 + 0*o**4 + 1/480*o**5 - 1/720*o**6 - 1/3*o**3. Let q(d) be the first derivative of x(d). Factor q(w).
-w*(2*w - 1)/4
Let r be (-27)/(-45) + 13/(-30). Suppose r*m**2 - 2/3*m + 2/3 = 0. What is m?
2
Let w(f) be the third derivative of 0 + 1/300*f**5 - 1/60*f**4 - 2*f**2 + 0*f + 1/600*f**6 + 0*f**3. Find d, given that w(d) = 0.
-2, 0, 1
Let g(b) = -b**4 + b**2 - b + 1. Let u(x) = 9*x**4 + 6*x**3 + 18*x**2 - 18*x + 18. Let d(w) = 18*g(w) - u(w). Factor d(o).
-3*o**3*(9*o + 2)
Let y(f) be the first derivative of 2/3*f**3 + 0*f**2 + 0*f + f**4 - 2/5*f**5 + 3 - 2/3*f**6. Let y(p) = 0. What is p?
-1, -1/2, 0, 1
Suppose 4*m - 7 = -3. Suppose 0 = 2*v - 2 - 2. Determine l, given that -2*l**v + 5 - 2 - m = 0.
-1, 1
Let u(q) be the second derivative of -q**5/20 + q**4/3 + 2*q. Factor u(n).
-n**2*(n - 4)
Let m(h) be the first derivative of h**3/24 - h**2/16 + 5. Factor m(k).
k*(k - 1)/8
Let j be 5 + (-116)/10 - -7. Suppose -j - 6/5*s - 2/5*s**3 - 6/5*s**2 = 0. Calculate s.
-1
Let y(n) = -70*n**4 + 295*n**3 - 630*n**2 + 490*n - 85. Let r(d) = 5*d**4 - 21*d**3 + 45*d**2 - 35*d + 6. Let v(o) = 55*r(o) + 4*y(o). Factor v(b).
-5*(b - 2)*(b - 1)**3
Factor -12/13*h**2 - 2/13*h**3 + 0 - 10/13*h.
-2*h*(h + 1)*(h + 5)/13
Let i = 1560517/5439384 + -3/19496. Let n = -2/31 + i. Factor -n*c**2 + 0 - 2/9*c.
-2*c*(c + 1)/9
Suppose -2*j + 2*i + 27 = j, j = -4*i + 9. Suppose 3*o + 6*o**4 - 11*o**3 + 0 + j*o**2 - 3 - 4*o**3 = 0. What is o?
-1/2, 1
Let p(b) be the second derivative of 0*b**3 + b + 0*b**2 + 0 + 1/45*b**5 - 1/135*b**6 - 1/54*b**4. Factor p(g).
-2*g**2*(g - 1)**2/9
Let d = 16/13 + -19/26. Let l be (-8)/10*10/(-4). Factor 0*s - d*s**l + 0.
-s**2/2
Factor 6*b**4 - 4*b**2 + b**5 + 1 + 6*b - 4*b**3 - 3 - 3*b**5 + 0*b**3.
-2*(b - 1)**4*(b + 1)
Let y be 60/(-75) + (-6)/5. Let u be 1*(-3 - -2)/y. Factor u + 1/2*r**4 - 1/2*r - 1/2*r**5 + r**3 - r**2.
-(r - 1)**3*(r + 1)**2/2
Factor 0*v + v**2 - 7*v - 6*v**2 - 2.
-(v + 1)*(5*v + 2)
Let l be (-6)/(7 + -10 + 1). Factor -8/5*d + 2/5*d**4 - 6/5*d**2 + 8/5 + 4/5*d**l.
2*(d - 1)**2*(d + 2)**2/5
Suppose 0 = 4*s - 14 + 6. Suppose 2/9*n**4 - 2/9*n**s + 2/9*n - 2/9*n**3 + 0 = 0. Calculate n.
-1, 0, 1
Let n(j) = -45*j**2 + 55*j - 10. Let m(u) = 45*u**2 - 55*u + 10. Let i(h) = 3*m(h) + 2*n(h). Factor i(v).
5*(v - 1)*(9*v - 2)
Suppose 0*d - 25 = 5*d. Let b(z) = z**2 + 6*z + 7. Let q be b(d). Suppose -q + f**3 - 3*f**2 + 5*f**2 + 0*f**2 - f = 0. Calculate f.
-2, -1, 1
Let w(n) = 7*n**2 + 12*n - 6. Let o(k) = 8*k**2 + 13*k - 7. Let u(l) = -5*o(l) + 6*w(l). Let z be u(-4). Factor 2/9*h**2 - 2/9*h**z + 0 + 0*h.
-2*h**2*(h - 1)/9
Let m(x) be the third derivative of -3*x**2 - 1/72*x**4 + 1/360*x**6 + 0*x - 1/180*x**5 + 1/630*x**7 + 0 + 0*x**3. Determine p, given that m(p) = 0.
-1, 0, 1
Let o(b) = -b**2 + b. Let m(j) = 5*j**2 - 6*j + 1. Let z(u) = -5*m(u) - 30*o(u). Let z(r) = 0. Calculate r.
-1, 1
Solve -6*u**2 - 2*u - 2 - 2*u + 2*u**2 + 2*u**2 = 0.
-1
Determine q, given that -12/5*q + 2/5*q**2 + 0 = 0.
0, 6
Let n be (-2)/4*(0 - 4). Factor r**2 - r**2 + 15*r + n*r**2 + r**2 + 6 - 6*r**3.
-3*(r - 2)*(r + 1)*(2*r + 1)
Let s(k) = -k**2 - 4*k + 7. Let r be s(-5). Let j = 3 - 1. Find u such that -u + 1 - 4*u**2 + u**3 + j*u**r + u**2 = 0.
-1, 1
Let z be ((-6)/(-4))/(24/32). Factor 8*c**z + 4*c**2 - 3*c + 0*c.
3*c*(4*c - 1)
Let z(g) = -g**2 - 2*g. Let p = -5 - -7. Let j(r) = 4*r**2 + 6*r + 1. Let v(w) = w**2 + 1. Let h(y) = -j(y) + v(y). Let c(l) = p*h(l) - 7*z(l). Factor c(m).
m*(m + 2)
Let k(t) be the first derivative of -t**5/15 - t**4/12 + 5. Solve k(w) = 0 for w.
-1, 0
Let r be 3 + (-3 - (-2 + 2)). Let a(i) be the third derivative of r*i + 1/30*i**5 + i**2 + 1/60*i**6 + 0 - 1/12*i**4 - 1/3*i**3. Solve a(z) = 0.
-1, 1
Let v(o) = o**2 + 8*o + 13. Let x be v(-6). Let a(k) be the first derivative of -x + 2/5*k**3 - 1/5*k**2 + 0*k + 2/25*k**5 - 3/10*k**4. Factor a(t).
2*t*(t - 1)**3/5
Suppose -5*u - 31 = -2*g, -g - 5*u - 3 = 19. Factor 12*m + 6 + 15/2*m**2 + 3/2*m**g.
3*(m + 1)*(m + 2)**2/2
Let k = -12 + 13. Let u be (-10)/(-40) + k/12. Factor 2/3 - u*p**3 + p + 0*p**2.
-(p - 2)*(p + 1)**2/3
Let x(p) be the first derivative of -3*p**5/25 - 39*p**4/20 - 9*p**3 + 15*p**2/2 + 150*p + 43. Solve x(d) = 0 for d.
-5, 2
Let w be 1/(-1 - 11/(-12)). Let v be 45/27*w/(-50). Factor -2/5 + 6/5*h**3 + v*h**2 - 6/5*h.
2*(h - 1)*(h + 1)*(3*h + 1)/5
Let c(k) be the first derivative of 0*k**4 + 0*k**3 - 1/3*k**6 + 0*k + 1 + 0*k**2 - 2/5*k**5. Factor c(l).
-2*l**4*(l + 1)
Let x(g) be the first derivative of 2*g**5/25 + g**4/5 + 2*g**3/15 + 6. Factor x(v).
2*v**2*(v + 1)**2/5
Let m(q) be the second derivative of q**9/10584 - q**8/2940 + q**7/2940 - q**3/2 + 3*q. Let i(b) be the second derivative of m(b). Factor i(r).
2*r**3*(r - 1)**2/7
Let o(k) = 5*k - 8. Let x(m) = -9*m + 16. Let s(q) = 7*o(q) + 4*x(q). Let j be s(6). Factor -1/4*p**3 - 3/4*p**j - 3/4*p - 1/4.
-(p + 1)**3/4
Let g(y) be the third derivative of -y**8/6720 - y**7/1680 + y**5/10 + 4*y**2. Let s(d) be the third derivative of g(d). What is q in s(q) = 0?
-1, 0
Let y = 23 + -16. Suppose y = 5*z - 13. Factor -5*b**2 + 2*b**3 + z*b**2 - b**3.
b**2*(b - 1)
Suppose 3*j = p + 13, 0 = 5*j - 3*p + 4*p - 11. Suppose -v - 17 = -5*x, -4 = j*v - 5*x + 7. Factor -2*t**2 - 2 + t**4 + 0*t**2 + v.
(t - 1)**2*(t + 1)**2
Factor -15 + 4*g**2 + 3*g - g - 1 + 10*g.
4*(g - 1)*(g + 4)
Let d be -6*(12/15 + (-9)/10). Factor d*o**2 + 0 - 3/5*o.
3*o*(o - 1)/5
Let d(h) be the third derivative of -h**7/525 + h**6/300 + h**5/75 + 5*h**2. Factor d(k).
-2*k**2*(k - 2)*(k + 1)/5
Solve 4/9 - 1/9*s**2 + 0*s = 0 for s.
-2, 2
Suppose -8/3 - 7/3*x + 1/3*x**2 = 0. Calculate x.
-1, 8
Let s be (35/20)/(14/4). Let t(n) be the third derivative of -3/8*n**4 + 0 + 1/5*n**5 - 3*n**2 - s*n**3 + 0*n. Let t(p) = 0. What is p?
-1/4, 1
Let d(n) be the third derivative of 2*n**7/735 - n**5/105 - 51*n**2. Let d(y) = 0. What is y?
-1, 0, 1
Let t(w) = 6*w**3 - 15*w**2 + 12*w - 1. Let i(p) = -6*p**3 + 15*p**2 - 12*p. Let l(u) = 2*i(u) + 3*t(u). Determine d, given that l(d) = 0.
1/2, 1
Let n(y) = -76*y - 1. Let t be n(3). Let o = -679/3 - t. Let -2/3*f**2 - o*f - 8/3 = 0. Calculate f.
-2
Let m(l) be the second derivative of -3*l**6/80 - 33*l**5/160 + 17*l**4/96 + 7*l**3/16 + l**2/4 - 29*l. Determine c, given that m(c) = 0.
-4, -1/3, 1
Let x(c) be the third derivative of -c**7/42 - 5*c**6/24 - c**5/3 - 8*c**2. Factor x(w).
-5*w**2*(w + 1)*(w + 4)
Let m be (12/(-9))/((-2)/3). Factor -9*u - 6*u**2 + 0*u**2 + 4 + 0*u**m - 7.
-3*(u + 1)*(2*u + 1)
Let a(c) = 3*c**2 - 57*c + 36. Let t be (-13)/(-6) - (-8)/(-48). Let j(i) = i**2 - 14*i + 9. Let b(l) = t*a(l) - 9*j(l). Factor b(d).
-3*(d - 3)*(d - 1)
Factor -6/7 - 3/7*t**2 - 9/7*t.
-3*(t + 1)*(t + 2)/7
Factor 3/7*p**3 - 384/7 + 6*p**2 + 96/7*p.
3*(p - 2)*(p + 8)**2/7
Let u = -27/4 + 143/20. Suppose 0 + 4/5*b - 6/5*b**2 + u*b**3 = 0. What is b?
0, 1, 2
Suppose 5*j = 4*j + 4. Let g(a) be the second derivative of