+ 1)/5
Let w(u) be the third derivative of u**7/490 + u**6/70 + 3*u**5/70 + u**4/14 + u**3/14 - 6*u**2. Determine p, given that w(p) = 0.
-1
Let d(p) = p**4 - p**3 - 1. Let r(s) = -7*s**5 - 5*s**4 - 10*s**3 - 6. Let m(j) = -30*d(j) + 5*r(j). What is i in m(i) = 0?
-1, -4/7, 0
Let y be (1/3)/((-14)/(-21) + 1). Factor -1/5*k**3 + y*k - 1/5*k**2 + 1/5.
-(k - 1)*(k + 1)**2/5
Let z = 6 + -4. Suppose -p = z*p - 6. Suppose -1/2*v + 1/2*v**p + 0 = 0. What is v?
0, 1
Let f(j) be the third derivative of -j**9/3024 + j**7/420 - j**5/120 - j**3/2 + 5*j**2. Let m(o) be the first derivative of f(o). Factor m(r).
-r*(r - 1)**2*(r + 1)**2
Solve -1/4*k**5 - 1/2*k**2 + 0*k**4 + 0 + 0*k + 3/4*k**3 = 0.
-2, 0, 1
Let w(f) be the second derivative of 4*f - 1/80*f**5 + 0 - 1/48*f**4 + 0*f**2 + 1/120*f**6 + 1/24*f**3. Let w(z) = 0. What is z?
-1, 0, 1
Let 0*o**2 + 1/2*o**3 + 0 - 1/4*o - 1/4*o**5 + 0*o**4 = 0. What is o?
-1, 0, 1
Factor 36 + 3*l - 43*l + 4*l**2 + 0*l**2 + 64.
4*(l - 5)**2
Let p(t) be the first derivative of -t**4 - 4/5*t**5 + 0*t + 4/3*t**3 + 2*t**2 + 1. Factor p(d).
-4*d*(d - 1)*(d + 1)**2
Let j(o) = -o + 8. Let m be j(10). Let s be 0/4 - (m + 0). What is g in 8/9*g**5 - 2/9 - 16/9*g**4 + 2/9*g**3 - 2/9*g + 10/9*g**s = 0?
-1/2, 1
Suppose 4*f = i - 3*i + 28, 5*i = 3*f - 21. Find q, given that 8*q - 26*q**2 + f - 12 + 13 + 10*q**3 = 0.
-2/5, 1, 2
Let r(k) = -15*k - 12. Let y(m) = m**2 + m - 1. Let b(p) = -r(p) - 3*y(p). Factor b(q).
-3*(q - 5)*(q + 1)
Let x(a) be the first derivative of 2*a**3/45 + 8*a**2/15 + 32*a/15 + 6. Factor x(o).
2*(o + 4)**2/15
Let q(b) = 12*b**2 + 2*b - 1. Let j be q(1). Suppose -j = -4*d - 1. What is v in -2/7*v**5 + 0 + 2/7*v**d + 0*v - 2/7*v**4 + 2/7*v**2 = 0?
-1, 0, 1
Let c(t) = t + 7. Let k be c(-5). Suppose 2*q**3 + k*q**2 - 3*q + 0*q**3 - 3 + q**3 + q**2 = 0. What is q?
-1, 1
Let p(i) = i**4 + 5*i**3 + 6*i**2 - 7*i - 11. Let m(z) = -2*z**4 - 10*z**3 - 12*z**2 + 13*z + 21. Let l(x) = -3*m(x) - 5*p(x). Factor l(t).
(t - 1)*(t + 2)**3
Let -2*d**2 - d**3 - 5*d**3 + 0*d**4 + 8*d**4 = 0. What is d?
-1/4, 0, 1
Suppose 0*u = -3*u - n + 50, 44 = 2*u - 2*n. Suppose -3*o + u = -3*j, -4*o - 5*j + 24 = -0. Factor -18*c**5 - o - 74*c**3 + 40*c**2 + 60*c**4 - 8*c + 6.
-2*c*(c - 1)**2*(3*c - 2)**2
Let o be 1*(-8)/(-2) - 0. Let 6 - o + 2*z**2 - 4*z + 0*z**2 = 0. What is z?
1
Let n(t) be the second derivative of 2*t**2 - 2/3*t**4 + 1/3*t**3 - 1/5*t**5 - t + 1/21*t**7 + 0 + 2/15*t**6. Find s such that n(s) = 0.
-2, -1, 1
Let o be (8/50)/((-154)/(-35) + -4). Find s such that o*s**5 + 2/5*s**3 + 0*s**2 + 0*s + 0 + 4/5*s**4 = 0.
-1, 0
Let w be -122*(3525/(-3537) - -1). Let k = 4/131 - w. Determine o, given that -2/3*o**4 - 4/9*o**3 - 2/9*o**5 + 2/9 + 2/3*o + k*o**2 = 0.
-1, 1
Let r(c) be the first derivative of c**6/16 + 21*c**5/20 + 6*c**4 + 8*c**3 - 48*c**2 - 192*c - 25. Find m, given that r(m) = 0.
-4, 2
Let n = 92 + -92. Let c(y) be the first derivative of 1/5*y**2 + 1 + 2/15*y**3 + n*y. Factor c(p).
2*p*(p + 1)/5
Let o = 7/30 - -1/10. Let g(h) be the first derivative of -2 - 2*h - 3/2*h**2 - o*h**3. Factor g(b).
-(b + 1)*(b + 2)
Let f(r) be the second derivative of -1/15*r**4 + 0*r**3 + 0*r**2 + 0 - 1/50*r**5 - 6*r. Factor f(x).
-2*x**2*(x + 2)/5
Let o(j) be the third derivative of 6*j**2 - 1/360*j**6 + 0 + 1/72*j**4 + 0*j + 0*j**3 + 0*j**5. Factor o(r).
-r*(r - 1)*(r + 1)/3
Let h(x) = x**3 - 3*x**2 + 3*x. Let w be h(2). Let j(r) be the second derivative of -1/12*r**3 + 0 + 0*r**w - r - 1/24*r**4. Factor j(z).
-z*(z + 1)/2
Let m(q) = q**3 - 4*q**2 + 4*q + 1. Let g be 1/(-2)*12/(-2). Let c be m(g). Factor 0 + 2*a**2 + 2*a**3 + 2/3*a**c + 2/3*a.
2*a*(a + 1)**3/3
Suppose 0 = -2*d - 0*d + 10. Let o be -1*(-4 - -3)*d. Factor -o*c**2 + 2*c**2 + c**3 - 3*c**3 - c**3.
-3*c**2*(c + 1)
Let l(c) be the first derivative of 2 + c**2 - 2/3*c**3 - 1/2*c**4 + 2*c. Determine v so that l(v) = 0.
-1, 1
Let r be 344/72 - 2/(-9). Let p(j) be the first derivative of j - 2 - j**2 - 1/5*j**r + 0*j**3 + 1/2*j**4. Suppose p(f) = 0. Calculate f.
-1, 1
Let w(i) = 2*i**3 - 8*i**2 + 10*i + 3. Let q(l) = -l**3 + 4*l**2 - 5*l - 1. Let o(m) = 7*q(m) + 3*w(m). Factor o(n).
-(n - 2)*(n - 1)**2
Let -5*a - 3*a**3 - 2*a**2 + 0*a**2 + 4*a + 2*a = 0. What is a?
-1, 0, 1/3
Let d = -59 + 64. Let s(j) be the third derivative of 0 - 1/3*j**3 + 0*j + j**2 - 1/15*j**d - 5/24*j**4 - 1/120*j**6. Suppose s(m) = 0. What is m?
-2, -1
Let z(f) be the second derivative of -1/7*f**2 + 2/35*f**5 - 2*f - 3/14*f**4 + 0 + 2/7*f**3. Factor z(w).
2*(w - 1)**2*(4*w - 1)/7
Suppose -10 = -8*i + 3*i. Suppose m**3 - m**i - 1 - m + 0*m + 2*m**2 = 0. Calculate m.
-1, 1
Let w = -3 + 4. Let g(r) = 3*r**3 + r**2 - 2*r + 1. Let p be g(w). Find v, given that -4/7*v + 2/7*v**p + 0 - 2/7*v**2 = 0.
-1, 0, 2
Suppose 0 = -o - t + 6, -3*o + 22 = o + 2*t. Factor 10*k - o*k**2 + 10*k + 27 + 8*k**2 - 2*k.
3*(k + 3)**2
Let f(n) = 200*n**4 + 455*n**3 + 335*n**2 + 55*n + 25. Let q(p) = -25*p**4 - 57*p**3 - 42*p**2 - 7*p - 3. Let z(s) = -3*f(s) - 25*q(s). Factor z(a).
5*a*(a + 1)**2*(5*a + 2)
Let u(k) be the second derivative of -k**6/30 - k**5/60 + k**4/18 + 2*k. Factor u(y).
-y**2*(y + 1)*(3*y - 2)/3
Solve 16*l - 5*l**2 - 4*l**3 + 9*l**2 + 32 - 12*l**2 = 0.
-2, 2
Let r(l) be the first derivative of -3/8*l**4 + 0*l + 0*l**2 - 2 + l**3 - 3/10*l**5. Factor r(v).
-3*v**2*(v - 1)*(v + 2)/2
Factor 2/5*y + 0 + 4/5*y**2.
2*y*(2*y + 1)/5
Let c = -78 + 36. Let g be (2/4)/((-7)/c). Let 2/3 - 5/3*n - 2/3*n**2 + 5/3*n**g = 0. Calculate n.
-1, 2/5, 1
Let 4/3*q**4 - 4*q**3 - 12*q**2 + 0 + 36*q = 0. What is q?
-3, 0, 3
Let v(l) be the third derivative of -l**7/1155 - l**6/660 + l**5/55 + 50*l**2. Factor v(u).
-2*u**2*(u - 2)*(u + 3)/11
Let s(b) be the first derivative of -b**6/180 - b**5/20 - b**4/6 + 5*b**3/3 + 3. Let a(r) be the third derivative of s(r). Factor a(t).
-2*(t + 1)*(t + 2)
Let w(b) = -b**5 + b**4 - 3*b**3 + 5*b**2 + 2. Let p(t) = t**5 - t**3 - t**2 - 1. Let f(x) = -6*p(x) - 3*w(x). Factor f(o).
-3*o**2*(o - 1)**2*(o + 3)
Let s(i) be the second derivative of 11*i**7/168 - 13*i**6/120 - 9*i**5/80 + 13*i**4/48 - i**3/12 - 2*i. What is c in s(c) = 0?
-1, 0, 2/11, 1
Let v(y) = 3*y**4 + y**3 + y**2 - 5*y - 4. Let n(x) = -4*x**4 - 2*x**3 - 2*x**2 + 6*x + 5. Let m(a) = 4*n(a) + 5*v(a). Factor m(q).
-q*(q + 1)**3
Suppose -2 = -5*y + 13. Let j be 14/15 + y/(-5). Let -10/3*w**5 + 1/3*w**4 + 4*w**3 - 2/3*w - j*w**2 + 0 = 0. What is w?
-1, -2/5, 0, 1/2, 1
Let u(x) = -1 + 2 + 6*x + 2*x**2 + 7. Let n(i) = 0*i - 5 - 4*i - i**2 + 0. Let s(r) = -8*n(r) - 5*u(r). Factor s(l).
-2*l*(l - 1)
Suppose 5*k + 6 = 7*k. Let c = 1 + k. Suppose 0*p**2 + 0*p + 2/7*p**c + 0 - 2/7*p**3 = 0. Calculate p.
0, 1
Suppose 3*k - 9 = 6. Let q(u) be the second derivative of 0*u**3 - u + 0*u**k - 1/45*u**6 + 1/18*u**4 + 0 + 0*u**2. Let q(y) = 0. Calculate y.
-1, 0, 1
Let d(g) = -3*g**2 + 4*g + 1. Let h(v) be the first derivative of -v**3/3 + v**2/2 - v + 9. Let z(j) = -d(j) + 2*h(j). Let z(p) = 0. What is p?
-1, 3
Let a be 9/(-120)*(-15)/(-126). Let c = a + 169/112. Factor 9/4*h**2 - c*h - h**3 + 1/4.
-(h - 1)**2*(4*h - 1)/4
Factor -1/2*i**3 + 0 + 0*i - 7/2*i**2.
-i**2*(i + 7)/2
Let p(b) be the first derivative of b**5 + 5*b**4/2 - 5*b**2 - 5*b + 1. Determine x, given that p(x) = 0.
-1, 1
Suppose -7*y = -3*y. Let h be (y - -1)/(4/8). Determine k so that 0*k + 2/9 - 2/9*k**h = 0.
-1, 1
Factor 18*r**4 - 2*r**5 + 0*r**5 + 2*r**3 - 2*r**2 - 16*r**4.
-2*r**2*(r - 1)**2*(r + 1)
Let a(z) = 2*z**2 - z - 1. Let i(d) = -14*d**2 + 6*d + 8. Let l be (-2)/(-3)*(3 - -63). Let c(f) = l*a(f) + 6*i(f). Solve c(b) = 0 for b.
1
Factor l**2 - 4/3*l + 1/3.
(l - 1)*(3*l - 1)/3
Suppose -4 = -m - 1. Suppose -a + 8 = m*a. Factor 0*v + 8/3 - 2/3*v**3 - a*v**2.
-2*(v - 1)*(v + 2)**2/3
Let n = -119 - -122. Determine k so that -2*k**n + 0 - 1/2*k**2 - 2*k**4 + 0*k = 0.
-1/2, 0
Suppose 0*g + 2*g = -4*x + 22, 4*g - 5*x = -21. Let k be g*0/2 + 2. What is d in 10/9*d**4 + 0 + k*d**2 + 4/9*d + 8/3*d**3 = 0?
-1, -2/5, 0
Let d(g) be the first derivative of g**3/24 + 3*g**2/8 - 31. Let d(v) = 0. What is v?
-6, 0
Let n(y) be the second derivative of 0*y**2 - 6*y - 2/3*y**3 + 0*y**4 + 1/20*y**5 + 0. Factor n(o).
o*(o - 2)*(o + 2)
Let u(n) be the first derivative of n**4/2 - 16*n**3/3 + 16*n**2 +