 b(a) = 0 for a.
-5, -2, -1/4, 0
Let v(o) be the first derivative of o**7/147 + o**6/35 + 3*o**5/70 + o**4/42 + 2*o + 2. Let r(a) be the first derivative of v(a). Solve r(d) = 0 for d.
-1, 0
Let h(v) be the first derivative of -3*v**3/2 - v**2/2 + 5. Determine a, given that h(a) = 0.
-2/9, 0
Let v = 4591/4 - 1144. Determine u, given that -3/4*u**3 - 3/2 + 3/4*u**4 + v*u - 9/4*u**2 = 0.
-2, 1
Let f(j) be the first derivative of -1 - 2*j + 1/3*j**3 + 1/2*j**2. Suppose f(r) = 0. What is r?
-2, 1
Let s(n) be the third derivative of n**5/60 + n**4/24 - n**3 + 4*n**2. Factor s(f).
(f - 2)*(f + 3)
Let a(g) be the first derivative of -1/3*g**4 + 2/15*g**5 + 0*g**3 + 8 + 2/3*g**2 - 2/3*g. Suppose a(k) = 0. Calculate k.
-1, 1
Factor 156*s - 1 + 15 + 10 - 147*s**3 + 210*s**2.
-3*(s - 2)*(7*s + 2)**2
Suppose 3*t - 3/4*t**3 - 9/4*t**2 + 0 = 0. Calculate t.
-4, 0, 1
Let s be (8/(-12))/((-2)/(0 - -2)). Factor -s + 1/3*b**2 + 1/3*b.
(b - 1)*(b + 2)/3
Let t(n) be the second derivative of -n**6/180 - n**5/90 + n**2/2 + 4*n. Let o(g) be the first derivative of t(g). Factor o(l).
-2*l**2*(l + 1)/3
Let k(f) = -20*f**4 + 20*f**3 + 16*f**2 - 20*f - 18. Let s(h) = 7*h**4 - 7*h**3 - 5*h**2 + 7*h + 6. Let z(l) = 4*k(l) + 11*s(l). Suppose z(o) = 0. What is o?
-1, 1, 2
Suppose -8*l**2 + 3*l + 58*l**3 - 54*l**3 + l = 0. What is l?
0, 1
Let s(x) be the first derivative of -3*x**2 - 8/3*x**3 + 9/5*x**5 + 6 + 1/2*x**4 - x + 2/3*x**6. Factor s(a).
(a - 1)*(a + 1)**3*(4*a + 1)
Let z(n) be the second derivative of n**8/84 + 2*n**7/105 - 5*n**2/2 - 5*n. Let i(u) be the first derivative of z(u). Factor i(f).
4*f**4*(f + 1)
Let g(n) be the first derivative of 6*n**3 - 12*n**2 + 8*n - 10. Let g(q) = 0. What is q?
2/3
Let s = -3 - -14. Let f be (-22)/(-33) + s/6. Determine i so that -8/3*i**2 - 2/3*i + 1/3*i**4 - f*i**3 + 5/6*i**5 + 0 = 0.
-1, -2/5, 0, 2
Let j(o) = -5*o**2 - 3*o - 1. Let p(t) = 6*t**2 + 2*t. Let d(h) = 4*j(h) + 3*p(h). Suppose d(v) = 0. Calculate v.
-2, -1
Let j(i) be the first derivative of 2*i**5 + 5*i**4/4 - 5*i**3 - 5*i**2/2 + 5*i + 11. Solve j(l) = 0 for l.
-1, 1/2, 1
Let h = -5 - -10. Let o be (-4 - 0)*(-1 - 3)/24. Factor 4*s**3 + 8/3*s**4 + 2/3*s**h + 0 + 8/3*s**2 + o*s.
2*s*(s + 1)**4/3
Let d = 25 - 42. Let j = d + 21. What is b in b**2 - b**3 + 0 - 1/3*b + 1/3*b**j = 0?
0, 1
Let q be (7/(-14))/((-5)/6)*5. Factor 2/9*w**5 + 0*w**4 - 4/9 - 8/9*w**q + 2/3*w + 4/9*w**2.
2*(w - 1)**3*(w + 1)*(w + 2)/9
Let r be (-3 + -2)*(-2)/5. Factor -f**2 - 5*f + 5 + 31 + 29*f + 5*f**r.
4*(f + 3)**2
Let r be -3 + ((-15)/6 - 2). Let p = -7 - r. Find s, given that 0*s - p*s**2 + 0 = 0.
0
Suppose -5 - 3 = -4*a. Factor 5*w**5 - 2*w**2 + 2*w**2 + 9*w**3 + 2*w**a + 11*w**4 + w**4.
w**2*(w + 1)**2*(5*w + 2)
Let a(r) be the third derivative of -r**9/3024 - r**8/840 + r**6/180 + r**5/120 + r**3/2 - 4*r**2. Let j(l) be the first derivative of a(l). Factor j(n).
-n*(n - 1)*(n + 1)**3
Let d(m) be the first derivative of -2/27*m**3 + 0*m**2 + 6 + 2/9*m. Solve d(k) = 0 for k.
-1, 1
Let s(b) be the third derivative of -b**4/24 + 5*b**3/3 + b**2. Let c be s(10). Suppose -4*v**2 + 2*v + c*v**3 - v**3 + 3*v**3 = 0. What is v?
0, 1
Factor -14*g**2 - 6*g - 15*g**2 + 1 + 34*g**2.
(g - 1)*(5*g - 1)
Let i(y) be the third derivative of -y**6/720 - y**5/48 - y**4/12 + y**3/3 - 8*y**2. Let r(w) be the first derivative of i(w). Solve r(l) = 0.
-4, -1
Let x = -11 + 21. Let j be 0 + 1 + x/(-14). Suppose 10/7*t**4 + 2/7 + 20/7*t**3 + 20/7*t**2 + 10/7*t + j*t**5 = 0. Calculate t.
-1
Let n(g) be the first derivative of -2*g**6/15 + g**4/4 + g**3/6 - g + 9. Let t(v) be the first derivative of n(v). Factor t(s).
-s*(s - 1)*(2*s + 1)**2
Let q = 1892/6573 + -2/939. Factor 0 + 1/7*x**3 - q*x**2 + 1/7*x.
x*(x - 1)**2/7
Let f(m) be the second derivative of m**7/273 - m**6/65 - m**5/130 + m**4/26 + 4*m. Suppose f(g) = 0. What is g?
-1, 0, 1, 3
Let c(i) be the second derivative of i**6/30 - 3*i**5/20 + i**4/12 + i**3/2 - i**2 - 11*i. Factor c(f).
(f - 2)*(f - 1)**2*(f + 1)
Let f(x) be the second derivative of -7*x**6/10 - 9*x**5/5 + x**4 + 8*x. Solve f(h) = 0 for h.
-2, 0, 2/7
Let w(u) = 50*u**3 - 155*u**2 + 160*u - 85. Let x(g) = 7*g**3 - 22*g**2 + 23*g - 12. Let n(t) = 2*w(t) - 15*x(t). Determine y, given that n(y) = 0.
1, 2
Let i be 83/5 + (-21)/35. Let o(g) = -7*g**5 - 4*g**4 + 3*g**3. Let h(t) = -22*t**5 - 12*t**4 + 10*t**3. Let n(c) = i*o(c) - 5*h(c). Let n(x) = 0. What is x?
-1, 0
Suppose 0 = -2*l + 2, -5 + 3 = -2*x + 2*l. Find o, given that 35*o + 245/4*o**x + 5 = 0.
-2/7
Let u be (-12)/(-9)*(-427)/(-2). Let h = 287 - u. Factor h*r**2 + 1/3 - r**3 - 5/3*r.
-(r - 1)**2*(3*r - 1)/3
Suppose 8/3*o**2 - 2/3*o + 2/3*o**3 + 0 - 8/3*o**4 = 0. Calculate o.
-1, 0, 1/4, 1
Let c be (-593)/150 - (0 - 4). Let s(i) be the second derivative of -1/15*i**3 + 0*i**2 + 2*i - 7/60*i**4 + 1/50*i**5 + c*i**6 + 0. Let s(q) = 0. Calculate q.
-1, -2/7, 0, 1
Let i(h) be the third derivative of -h**6/60 + h**4/12 - 2*h**2. Factor i(f).
-2*f*(f - 1)*(f + 1)
Suppose 3*z - 1/2*z**2 - 9/2 = 0. Calculate z.
3
Let -2*w**2 + 19*w**3 - 24*w**3 + 2*w**5 - 4*w**4 - 3*w**5 = 0. What is w?
-2, -1, 0
Let -26/3*t**2 + 8/3*t**4 + 0 - 26/3*t**3 + 8/3*t = 0. Calculate t.
-1, 0, 1/4, 4
Let k be (-6)/(-24)*(-2)/(0 + -1). Factor 0 + k*u**4 + 0*u + u**3 + 1/2*u**2.
u**2*(u + 1)**2/2
Let t(c) be the first derivative of c**5/90 + c**4/18 + c**3/9 + 2*c**2 - 5. Let k(r) be the second derivative of t(r). Find b, given that k(b) = 0.
-1
Let i(d) be the third derivative of d**7/840 - d**5/40 - d**4/12 - d**3/3 + d**2. Let p(f) be the first derivative of i(f). Suppose p(y) = 0. Calculate y.
-1, 2
Let a(r) = -20*r**5 + 5*r**4 + 40*r**3 - 10*r**2 - 25*r + 5. Let y(o) = o. Let k(z) = a(z) + 5*y(z). Solve k(u) = 0.
-1, 1/4, 1
Let s = -32105 + 2793196/87. Let y = s + -1/29. Let 2/3*v**2 + 0 + y*v = 0. Calculate v.
-1, 0
Suppose -x + 2*s = 4, -3*x = -2*s + 1 - 5. Let n(p) = p + 8. Let r be n(-4). Factor -4*w**5 + 4*w**4 - w**r - 5*w**x + 2*w**3.
-2*w**3*(w + 1)*(2*w - 1)
Let u(p) be the second derivative of 4*p**6/15 + p**5/10 - 2*p**4/3 - p**3/3 - 3*p. Factor u(q).
2*q*(q - 1)*(q + 1)*(4*q + 1)
Let a(x) = x - 1. Let z be a(4). Solve 6 - 10*c**2 - 4*c + z*c**3 + c + 4*c**2 = 0 for c.
-1, 1, 2
Solve -3 - 10*p**3 + 3*p**2 + 2*p**2 + 7*p**3 - 2*p**2 + 3*p = 0 for p.
-1, 1
Factor -2/5*j**4 + 0 + 0*j + 6/5*j**3 - 4/5*j**2.
-2*j**2*(j - 2)*(j - 1)/5
Let u(o) be the second derivative of 8*o + 1/42*o**7 + 1/15*o**6 + 0 + 1/6*o**3 + o**2 - 1/3*o**4 - 1/10*o**5. Factor u(l).
(l - 1)**2*(l + 1)**2*(l + 2)
Suppose -2*q - 6 = -p + 4, -3*p = 3*q - 39. Let z be 8/p - 10/24. Factor z*r**2 + 0*r**3 + 0*r + 0 - 1/4*r**4.
-r**2*(r - 1)*(r + 1)/4
Let p be 9*1/(-2 - -3). Let w be p/(-12)*(-6)/9. Factor g**3 - 1/2*g**4 - w + g**2 - 1/2*g**5 - 1/2*g.
-(g - 1)**2*(g + 1)**3/2
Suppose 0 = -0*m + 4*m + 4. Let p be m/(-5)*45/6. Let 1/2*v**3 + p*v + 3/2*v**2 + 1/2 = 0. Calculate v.
-1
Suppose -3*r = -4*w - 29, 11 = 3*r - 2*w - 8. Factor 5*n**4 - n**4 + 2*n**2 + 0*n**r - 3*n**4 - 3*n**3.
n**2*(n - 2)*(n - 1)
Let o(q) be the second derivative of -q**5/80 + q**4/48 + q**3/12 + 9*q. Suppose o(u) = 0. What is u?
-1, 0, 2
Let y(j) be the first derivative of j**5/20 + j**4/12 + j - 2. Let w(v) be the first derivative of y(v). Suppose w(o) = 0. What is o?
-1, 0
Let w(y) be the third derivative of -3*y**6/40 + y**5/5 + 5*y**4/8 - y**3 + 24*y**2. Factor w(l).
-3*(l - 2)*(l + 1)*(3*l - 1)
Let t be ((-4)/(-1))/(10 - -4). Factor t - 6/7*h**2 - 4/7*h.
-2*(h + 1)*(3*h - 1)/7
Let t = -2 - 8. Let i = -8 - t. Factor k**3 - 3*k**2 + 4*k**2 - i*k**3.
-k**2*(k - 1)
Find x, given that 0 + 16/3*x**3 + 0*x + 32/3*x**2 + 2/3*x**4 = 0.
-4, 0
Let f(x) be the first derivative of 2*x**5/5 - 3*x**4 + 26*x**3/3 - 12*x**2 + 8*x + 9. Factor f(w).
2*(w - 2)**2*(w - 1)**2
Let d = 1 - -1. Suppose -3*g = -4*y + d, -2*g - y + 13 + 4 = 0. Factor 2*k**2 - 2*k + k**3 - 3*k**3 + g*k.
-2*k*(k - 2)*(k + 1)
Let n(d) be the first derivative of 5/3*d**3 + 0*d**2 + 2 + 0*d**4 + 0*d - 1/80*d**5 - 1/720*d**6. Let x(j) be the third derivative of n(j). Factor x(r).
-r*(r + 3)/2
Factor 16/3 - 4/3*n**2 + 2/3*n**3 - 8/3*n.
2*(n - 2)**2*(n + 2)/3
Let y(u) be the second derivative of u**4/28 + u**3/21 - u**2/14 - 3*u. Factor y(c).
(c + 1)*(3*c - 1)