 derivative of v(n). Suppose j(q) = 0. What is q?
0, 5
Let l(u) be the second derivative of 1/3*u**4 + 9*u + 2*u**2 + 0 + 4/3*u**3. Factor l(b).
4*(b + 1)**2
Let j(y) = 4*y + 5. Let n be j(2). Find m, given that -8 - 108*m**3 - m + n*m + 104*m**3 = 0.
-2, 1
Suppose -3*s = 3*m - 0*s - 9, -s - 1 = -m. Factor -5*l**4 - l - 15*l**3 - 17*l**2 - 7*l + 3*l + m*l**2.
-5*l*(l + 1)**3
Let z be 576/(-400)*175/(-105). Let 2/5*r**4 + 4*r + 6/5 + 24/5*r**2 + z*r**3 = 0. Calculate r.
-3, -1
Let p(z) = z**2 - 10*z + 34. Let x be p(11). Solve 69*u - 140*u**3 - 26*u - 10 + 24*u + x*u**5 + 28*u - 30*u**2 + 40*u**4 = 0 for u.
-2, -1, 1/9, 1
Let i(v) be the first derivative of -16*v - 3 - 1/3*v**3 - 17/2*v**2. Factor i(t).
-(t + 1)*(t + 16)
Suppose -433*v + 925 = 59. Factor 4/9*w + 2/9 + 2/9*w**v.
2*(w + 1)**2/9
What is b in 30/11*b**4 + 6/11*b**2 + 0*b + 36/11*b**3 + 0 = 0?
-1, -1/5, 0
Let g(s) be the second derivative of -s**4/24 - 55*s**3/36 + 19*s**2/6 + 8*s + 4. Factor g(a).
-(a + 19)*(3*a - 2)/6
Let m be (-132)/(-308) - (-2)/14. Factor -6/7*w**2 + m - 2/7*w.
-2*(w + 1)*(3*w - 2)/7
Let d(r) be the first derivative of 2*r**3/21 + 3*r**2/7 + 4*r/7 + 76. Solve d(t) = 0 for t.
-2, -1
Let k(z) = 2*z**2 - 6*z. Let l(w) = -2*w**2 + 7*w - 1. Suppose o = 4*f - 7, 0 = 3*o + 3*f + 5 - 29. Let p(j) = o*k(j) + 4*l(j). Find g, given that p(g) = 0.
-1, 2
Let n(l) = -l**2 - 4. Let h(p) = -200*p**3 - 95*p**2 - 5*p - 120. Let i(k) = -h(k) + 30*n(k). Factor i(c).
5*c*(5*c + 1)*(8*c + 1)
Let u(f) = -f**2 - 4*f + 6. Let q be u(4). Let z be 0*(-4 + q/(-6)). Factor 0*d + z*d**2 - 2/3*d**4 + 2/3*d**3 + 0.
-2*d**3*(d - 1)/3
Let c(f) be the first derivative of -f**5/20 + 2*f**2 + 12. Let m(h) be the second derivative of c(h). Factor m(k).
-3*k**2
Let a(f) be the first derivative of -f**3 + 15*f**2/2 - 65. Solve a(g) = 0.
0, 5
Let i(c) be the first derivative of 7*c**7/18 + 7*c**6/30 - 2*c**5/5 + c**4/9 - 11*c + 10. Let v(y) be the first derivative of i(y). Factor v(j).
j**2*(j + 1)*(7*j - 2)**2/3
Let q be ((-8)/(-27))/(92/69). Suppose 0 = -l + 3*l - 6. Factor 0 - 2/9*n - q*n**2 + 2/9*n**4 + 2/9*n**l.
2*n*(n - 1)*(n + 1)**2/9
Let x(q) be the first derivative of 5*q**4/4 + 175*q**3/3 - 365*q**2/2 + 185*q + 84. Factor x(g).
5*(g - 1)**2*(g + 37)
Let i(f) = 2*f**2 - 31*f**3 - 2 + 2*f + 0*f + 5*f**4 + 29*f**3. Let v(r) = -r**3 + r**2 + r - 1. Let o(x) = -i(x) + 2*v(x). Suppose o(z) = 0. What is z?
0
Let g(o) be the first derivative of 2*o**6 - 86*o**5/25 - 27*o**4/10 + 56*o**3/15 + 12*o**2/5 + 12. Suppose g(z) = 0. Calculate z.
-2/3, -2/5, 0, 1, 3/2
Determine z so that -9*z**2 - 19*z**3 - 24*z**4 - 21*z**2 - 32*z**3 - 3*z**5 = 0.
-5, -2, -1, 0
Let j(f) = -8*f - 3*f - 20 + 6*f. Let t be j(-4). Factor 0*k**2 + 0*k + t + 1/2*k**4 - 1/4*k**5 - 1/4*k**3.
-k**3*(k - 1)**2/4
Suppose -8 - 2 = -3*o - 1. Determine c, given that 0 + 0*c**2 + 0*c - 1/9*c**5 + 0*c**4 + 1/9*c**o = 0.
-1, 0, 1
Suppose -2/5*j**4 + 22/5*j**2 + 16/5 + 36/5*j + 0*j**3 = 0. Calculate j.
-2, -1, 4
Let b(u) be the third derivative of -u**5/60 - 25*u**4/12 - 625*u**3/6 + 72*u**2. Factor b(x).
-(x + 25)**2
Let p(x) be the third derivative of x**5/15 - 145*x**2 + 1. Factor p(w).
4*w**2
Let o = -254865 + 113414984/445. Let y = o + 6/89. Factor 0*t**2 + 2/5*t - 2/5*t**3 - 1/5 + y*t**4.
(t - 1)**3*(t + 1)/5
Let t(g) be the second derivative of -g**6/60 + g**5/5 - 3*g**4/4 + 4*g**3/3 - 5*g**2/4 + 4*g + 9. Find a, given that t(a) = 0.
1, 5
Let a(i) = -i**3 - i. Let s(c) = 3*c**3 - c**2 + 4*c + 10. Let o(l) = 2*a(l) + s(l). Let t be o(0). Factor -8 - 8*d**2 + 22*d**2 - t*d**2 - 4*d.
4*(d - 2)*(d + 1)
Let j be 1296/15 + ((-30)/25)/3. Suppose 15*y - j = -11. Solve 10/9*s**4 + 0*s + 0 + 2/9*s**y + 16/9*s**3 + 8/9*s**2 = 0 for s.
-2, -1, 0
Suppose 12*q = 7*q + 90. Let s = 18 - 9. Suppose -q + 4*d**3 + 9 + s - d**2 = 0. What is d?
0, 1/4
Let u be (-85)/(-9) + (63 - 70). Solve u*y + 2*y**2 + 4/9 = 0.
-1, -2/9
Let t(i) = i**3 - 2*i**2 + i + 4. Let b(r) = -6*r**3 + 11*r**2 - 4*r - 21. Let f = 1 - -1. Let q be 786/36 + f/12. Let k(m) = q*t(m) + 4*b(m). Solve k(p) = 0.
-1, 2
Let f(b) = -4*b - 1 + b**2 + 3 + 2*b + b. Let x(g) = -3*g**2 + 3*g + 9. Let u be x(-4). Let p(m) = -8*m**2 + 7*m - 17. Let a(t) = u*f(t) - 6*p(t). Factor a(o).
-3*o*(o - 3)
Suppose -8 = q - 2*q - k, 3*q = -5*k + 32. Solve -12*m**2 + 5*m**2 + q*m**2 + 6*m**3 + 2*m - 8*m + 3*m**4 = 0.
-2, -1, 0, 1
Let m be 8/8 - -1*4. Suppose -2*a**4 - 5*a**2 + 10*a**2 - 5*a**2 - 4*a**m = 0. Calculate a.
-1/2, 0
Let t(b) = -3*b**3 + 1. Let j(u) = 20*u**3 - 45*u**2 - 170*u - 125. Let f(c) = j(c) + 5*t(c). Factor f(d).
5*(d - 12)*(d + 1)*(d + 2)
Suppose i = 4, 2*o + 2*i + 2*i - 76 = 0. Let u = -28 + o. Solve -3 + 0 - 1 + p**2 + 2*p + p**u = 0 for p.
-2, 1
Let t(i) be the first derivative of 0*i**3 - 1/6*i**4 + 6 - 2/15*i**5 + 0*i - 1/30*i**6 - i**2. Let f(d) be the second derivative of t(d). Factor f(v).
-4*v*(v + 1)**2
Let j(g) be the first derivative of 5/3*g**3 + 32 + 10*g + 15/2*g**2. Factor j(i).
5*(i + 1)*(i + 2)
Suppose -54*q - 6 = -57*q. Factor 6*d**2 + 9 + d**q - 22*d - d**2 + d.
3*(d - 3)*(2*d - 1)
Let 57/7*d**2 - 261/7*d + 351/7 - 3/7*d**3 = 0. What is d?
3, 13
Suppose 3*l = -15, -4*w - 11 = -4*l - 43. Factor -4*d + 20*d + 28*d**3 - 30*d**2 - 5*d**4 - 8*d**w + 4*d - 5.
-5*(d - 1)**4
Suppose -23*l**2 - 14*l**3 - 5*l**3 + 3*l**5 - 11*l**3 - 12*l**4 + 5*l**2 - 3*l**3 = 0. What is l?
-1, 0, 6
Let a be 14 - (-2128)/(-462)*3. Let -a*g**3 - 6/11*g**2 - 2/11 - 6/11*g = 0. What is g?
-1
Suppose 5*a - 44 = 46. Factor -a*c**3 + 24*c**3 - 15*c**2 - 10*c**4 + 19*c**3 - 5*c**5 + 5*c**4.
-5*c**2*(c - 1)**2*(c + 3)
Let p(s) be the third derivative of 22*s**7/21 + 163*s**6/30 + 53*s**5/5 + 49*s**4/6 - 4*s**3/3 - 32*s**2 - 1. Determine x, given that p(x) = 0.
-1, 2/55
Let m(z) = -z**2 - 21*z + 1. Let h(s) = 2*s**2 - 1. Let n(l) = -3*h(l) - 3*m(l). Factor n(r).
-3*r*(r - 21)
Let g(s) = 2*s**2 - 19*s + 32. Let c be g(2). Let n(y) be the first derivative of y**c - 3*y - 3 - 1/9*y**3. Factor n(j).
-(j - 3)**2/3
Let j(g) be the first derivative of -g**5/15 - g**4/24 + g**3/18 - 69. Solve j(i) = 0 for i.
-1, 0, 1/2
Let r(p) be the third derivative of p**6/180 - 3*p**5/10 + 17*p**4/12 - 25*p**3/9 - 4*p**2 + 36*p. Factor r(x).
2*(x - 25)*(x - 1)**2/3
Let p = -32579 + 32579. Factor 5*k**2 - 10/3*k + p*k**3 + 0 - 5/3*k**4.
-5*k*(k - 1)**2*(k + 2)/3
Let o(t) = 3*t**2 - 2. Suppose -4 = -4*f - 12. Let d be o(f). Determine i so that -14 + 2*i**4 - 8*i + d*i**3 + 0*i**4 - 5*i**2 + 17*i**2 - 2 = 0.
-2, 1
Let n(s) be the third derivative of s**5/120 - s**4 + 48*s**3 + 5*s**2 - 4*s. Factor n(r).
(r - 24)**2/2
Factor -8/3*p**3 + 4/3 - 4/3*p**2 + 2*p + 2/3*p**5 + 0*p**4.
2*(p - 2)*(p - 1)*(p + 1)**3/3
Let g(v) be the first derivative of -v**4/2 - 22*v**3/3 - 40*v**2 - 96*v + 139. Factor g(a).
-2*(a + 3)*(a + 4)**2
Let v = -847 - -847. Let b(f) be the second derivative of -8*f + v - 2/21*f**3 + 1/70*f**5 + 0*f**2 - 1/42*f**4. Factor b(l).
2*l*(l - 2)*(l + 1)/7
Let h(c) = 3*c**3 - c**3 + 5*c**2 - 3*c**3. Let u(w) = w**3 - 4*w**2. Let p be 0/(-4 - 0) + 3. Let f(d) = p*h(d) + 4*u(d). Factor f(y).
y**2*(y - 1)
Let h = 47213/2 + -23599. Determine r, given that -24*r + 0 - 66*r**2 + h*r**4 - 12*r**3 = 0.
-2, -2/5, 0, 4
Let k(l) be the first derivative of -4*l**5/5 - 8*l**4 - 28*l**3/3 - 65. Suppose k(n) = 0. Calculate n.
-7, -1, 0
Suppose 3*t**3 - 13*t - 4*t**3 + 8 - 12*t**2 - 5*t + 4*t**4 - 3*t**3 + 22*t = 0. What is t?
-1, 1, 2
Solve 25/2*a + 3 - 7*a**2 = 0 for a.
-3/14, 2
Determine u, given that 0*u**2 + 2/3*u**4 - 2/3*u**5 + 0 + 0*u**3 + 0*u = 0.
0, 1
Let u = -49 - 12. Let r = -59 - u. Solve -1/2*k - k**r - 1/2*k**3 + 0 = 0 for k.
-1, 0
Let d = 20682 - 186128/9. Factor 40/9*m - 4/9*m**2 + 16/9 - d*m**3.
-2*(m - 2)*(m + 2)*(5*m + 2)/9
Let b(z) = -z**3 - z**2 - z + 1. Suppose -6 + 2 = 4*c. Let a(t) = 5 - 2*t**3 - 2*t**2 + t**3 - 3 - 3*t + 0. Let u(f) = c*a(f) + 2*b(f). Factor u(k).
-k*(k - 1)*(k + 1)
Factor -2/5*p**4 - 24/5*p**3 + 26/5*p**2 + 0*p + 0.
-2*p**2*(p - 1)*(p + 13)/5
Let v(h) be the third derivative of 1/30*h**5 + 1/2*h**4 + 3*h**3 + 9*h**2 + 0 + 0*h. Determine a so that v(a) = 0.
-3
Let i(f) be the second derivative of f + 0 - 1/80*f**5 + 0*f**2 - 1/48*f**4 + 1/12*f**3. Factor i(k).
-k*(k - 1)*(k + 2)/4
Let v(i