*n**3 - 4*n**2 + n**2 = 0.
-1, 1
Let o(p) = 5*p + p + 12 - 5*p. Let t be o(-8). Find v such that -18*v**t + 4*v**3 - 8*v + 8*v**2 + v**2 + 2*v**3 + 7*v**2 = 0.
-1, 0, 2/3
Let -5*d**2 + 0*d**2 + 136*d - 116*d = 0. What is d?
0, 4
Suppose -2*j = -6*j + 8. Let a(p) be the third derivative of 1/30*p**5 + 0 + 0*p**3 + 0*p + 1/60*p**6 + 0*p**4 - 3*p**j. Find f, given that a(f) = 0.
-1, 0
Let a(m) be the third derivative of -m**5/20 + m**4/8 - 4*m**2. Factor a(g).
-3*g*(g - 1)
Let o(r) be the first derivative of r**8/168 + 2*r**7/105 - r**6/60 - r**5/15 - 3*r**2/2 + 4. Let i(q) be the second derivative of o(q). Factor i(n).
2*n**2*(n - 1)*(n + 1)*(n + 2)
Let q(r) be the first derivative of r**5 + 3*r**4 + 3*r**3 + r**2 + 4. Factor q(u).
u*(u + 1)**2*(5*u + 2)
Suppose 9*l - 13*l = 0. Let n(j) be the third derivative of 1/6*j**4 + l + 1/60*j**5 + j**2 + 0*j + 2/3*j**3. Suppose n(c) = 0. Calculate c.
-2
Let c(n) = -2*n - 3. Let f be c(-3). Let h(a) be the first derivative of 0*a + 1 + 2/3*a**f + a**2. Find s such that h(s) = 0.
-1, 0
Let z(j) be the first derivative of j**3/18 - j**2/3 + 2*j/3 - 6. Factor z(g).
(g - 2)**2/6
Let w(l) be the second derivative of l**7/14 - 2*l**6/5 + 9*l**5/10 - l**4 + l**3/2 - 6*l. Suppose w(t) = 0. Calculate t.
0, 1
Let r be ((-4)/(-4))/(1/2). Let -u + 3*u**2 - 2*u**r + 0*u**2 = 0. What is u?
0, 1
Let w(m) be the first derivative of m**5/45 - 5*m**4/36 - 7*m**3/27 + 5*m**2/18 + 2*m/3 - 19. Factor w(y).
(y - 6)*(y - 1)*(y + 1)**2/9
Let z(h) be the second derivative of 0*h**3 + 1/2*h**2 - 1/60*h**4 - 1/150*h**5 + 0 - h. Let i(v) be the first derivative of z(v). Factor i(y).
-2*y*(y + 1)/5
Let y(t) be the third derivative of 0*t**3 + 2/945*t**7 + 0*t**4 + 0 - 1/180*t**6 + 0*t + 4*t**2 + 1/270*t**5. Factor y(l).
2*l**2*(l - 1)*(2*l - 1)/9
Factor -1/3*i**2 - 1/6*i**3 + 0*i + 0.
-i**2*(i + 2)/6
Suppose 3*t = 2*d - 12, 2*t + 17 = 3*d - 1. Factor d*n**2 + 8*n**5 + 12*n**3 - 6 - 10*n + n - 11*n**5.
-3*(n - 2)*(n - 1)*(n + 1)**3
Let u be (9/18)/(1/450). Let s be 0 + 4 - u/60. Factor -1/2*p**4 - s*p**5 + 1/2*p**2 + 0 + 0*p**3 + 1/4*p.
-p*(p - 1)*(p + 1)**3/4
Suppose -10*j - 7 = -7. Let c(a) be the second derivative of 0*a**3 + j - 9/20*a**5 + 0*a**2 + 1/2*a**4 + 2*a + 1/10*a**6. Factor c(f).
3*f**2*(f - 2)*(f - 1)
What is i in 3*i**3 + 6 - 2*i**2 + 14*i + i + 9*i**2 + 5*i**2 = 0?
-2, -1
Factor -29*q**2 + 13*q**2 + 17*q**2.
q**2
Let z = -135/8 - -723/40. Find n such that -6/5*n**4 + 2/5 + 2/5*n**5 - z*n + 4/5*n**2 + 4/5*n**3 = 0.
-1, 1
Let s = 46 + -227/5. What is b in 3/5 - 6/5*b - s*b**4 + 0*b**2 + 6/5*b**3 = 0?
-1, 1
Let n = -14 - -22. Let c = n - 5. Suppose -2 - 32*o + 10*o**2 + 10*o**3 + 10 + 4*o**c = 0. What is o?
-2, 2/7, 1
Let i(n) be the second derivative of n + 1/120*n**6 - 1/48*n**4 - 1/80*n**5 + 1/168*n**7 + 0 + 0*n**2 + 0*n**3. Let i(u) = 0. What is u?
-1, 0, 1
Factor -1/6*n**4 + 0 + 1/3*n + 2/3*n**3 - 5/6*n**2.
-n*(n - 2)*(n - 1)**2/6
Determine f so that 0*f - 2/5 + 1/5*f**4 + 11/10*f**2 - 9/10*f**3 = 0.
-1/2, 1, 2
Factor -3*f**3 + 5*f**2 + 1 + 2*f**3 - 7*f + 2 + 0*f**3.
-(f - 3)*(f - 1)**2
Let g(t) be the third derivative of -5*t**6/96 + 19*t**5/48 - 2*t**4/3 + t**3/2 - 19*t**2. Factor g(u).
-(u - 3)*(5*u - 2)**2/4
Let x(g) = 5*g + 6*g - g**2 - 3 - 2*g. Let t be x(8). Factor 0*k**2 + 0*k + 1/4*k**t + 0 - 1/4*k**3 + 0*k**4.
k**3*(k - 1)*(k + 1)/4
Let d(m) be the third derivative of m**6/120 + m**5/10 + m**4/2 + 4*m**3/3 + 40*m**2. Find l such that d(l) = 0.
-2
Let a = -11/19 - -41/38. Let -1/2*g**3 + 3/2*g**2 + a*g - 1 - 1/2*g**4 = 0. Calculate g.
-2, -1, 1
Solve -u**4 - 4*u + 4*u**3 - 5*u**3 + 7*u**3 - 6*u**2 - u**3 + 8 = 0.
-1, 2
Let f(i) be the first derivative of 5*i**4/4 + 5*i**3/3 - 15*i**2 + 18. What is y in f(y) = 0?
-3, 0, 2
Let y(w) be the first derivative of -w + 3/4*w**5 - w**3 + 3/4*w**4 + 5 + 0*w**2. Let z(b) be the first derivative of y(b). Factor z(x).
3*x*(x + 1)*(5*x - 2)
Let z(p) = -3*p**2 + 2*p - 23*p**3 + 22*p**3 - 4*p. Let w be z(-2). Solve 1/4*s**2 + w*s + 0 = 0.
0
Let q(v) be the second derivative of 2/35*v**5 + 1/105*v**6 + 1/7*v**4 - 6*v + 1/7*v**2 + 0 + 4/21*v**3. Factor q(f).
2*(f + 1)**4/7
Let j(w) = -w**3 - 3*w - 1. Let r(t) = -t**2. Let v = 3 + -6. Let q(h) = v*r(h) - j(h). Suppose q(z) = 0. Calculate z.
-1
Let d(w) = -2*w**2 + 4*w - 6. Let t(f) = 4*f**2 - 8*f + 13. Let b(k) = 9*d(k) + 4*t(k). Solve b(y) = 0.
1
Suppose 3*n + 2*n**2 - 3*n**2 - 2*n - 2*n = 0. What is n?
-1, 0
Let o(n) = -3*n**2 - n**3 - n + 3*n + 4*n**2. Let m(a) = 4*a - 7*a**3 + 4*a**2 + 3*a + 3*a**3 - a**2. Let j(w) = 4*m(w) - 14*o(w). Solve j(t) = 0.
-1, 0
Let g(a) be the third derivative of a**7/210 - a**6/48 + a**5/120 + a**4/24 - 9*a**2. What is h in g(h) = 0?
-1/2, 0, 1, 2
Let u(w) be the first derivative of -4*w**5/5 - 2*w**4 - 4*w**3/3 - 4. Factor u(a).
-4*a**2*(a + 1)**2
Suppose 2*d + 0*d = 0. Let k(m) be the second derivative of 0*m**2 + 2/105*m**7 - 1/15*m**6 + 0 + 2/25*m**5 - 4*m - 1/30*m**4 + d*m**3. What is j in k(j) = 0?
0, 1/2, 1
Let d(u) be the second derivative of u**7/315 - u**6/60 + u**5/30 - u**4/36 + 3*u**2/2 - 4*u. Let k(y) be the first derivative of d(y). Factor k(h).
2*h*(h - 1)**3/3
Let c(z) be the third derivative of -z**9/60480 - z**8/16128 - z**7/20160 + z**5/60 + z**2. Let i(a) be the third derivative of c(a). Factor i(f).
-f*(f + 1)*(4*f + 1)/4
Let l be (-56)/(-36) + -1 - 4/18. Let f(v) be the second derivative of -2*v**2 + 2*v - l*v**3 + 0 + 1/6*v**4. Factor f(s).
2*(s - 2)*(s + 1)
Let l = 31 + -31. Let d(v) be the first derivative of 1 + 1/9*v**3 - 1/3*v + l*v**2. Factor d(h).
(h - 1)*(h + 1)/3
Let r = 65 - 129/2. Suppose 2*o - 2 - r*o**2 = 0. What is o?
2
Suppose 5*s = -62 + 87. Determine y, given that 0*y + 2/7*y**s + 4/7*y**4 + 0 + 2/7*y**3 + 0*y**2 = 0.
-1, 0
Let l(b) = 4*b**3 - b**2 + 2*b - 5. Let s(p) = p**3 - p**2 + p - 1. Let g = 5 - -4. Suppose -3*j + 0*j = g. Let r(v) = j*s(v) + l(v). Factor r(w).
(w - 1)*(w + 1)*(w + 2)
Factor 4/7 - 5/7*r**2 + 1/7*r.
-(r - 1)*(5*r + 4)/7
Let -38*u - 8 + 6*u + 12*u - 10*u**3 + 3 - 25*u**2 = 0. What is u?
-1, -1/2
Let z(v) be the third derivative of -v**5/180 + 2*v**3/9 + 7*v**2. Find p such that z(p) = 0.
-2, 2
Let x(r) be the third derivative of -r**8/3696 - r**7/2310 + r**6/440 + r**5/132 + r**4/132 - 11*r**2. Let x(d) = 0. What is d?
-1, 0, 2
Let i(t) = 16*t**2 - 6*t. Let a(u) = -81*u**2 + 30*u. Suppose -2*w + 3*b = -4*w - 4, -1 = -w - 3*b. Let r(d) = w*a(d) - 24*i(d). Factor r(f).
3*f*(7*f - 2)
Let x(r) = 25*r**4 - 25*r**2 - 11*r. Let k(d) = 5*d**4 - 5*d**2 - 2*d. Let v(f) = -11*k(f) + 2*x(f). What is i in v(i) = 0?
-1, 0, 1
Let j(p) be the third derivative of -343*p**6/30 + 98*p**5/5 - 14*p**4 + 16*p**3/3 - 7*p**2. Factor j(u).
-4*(7*u - 2)**3
Let m(j) be the second derivative of j**7/70 + 3*j**6/50 + 9*j**5/100 + j**4/20 - 23*j. Factor m(d).
3*d**2*(d + 1)**3/5
Let b(v) be the first derivative of v**4/4 + v**3/2 + v + 2. Let c(i) be the first derivative of b(i). Determine x so that c(x) = 0.
-1, 0
Let q be (-16)/(-5) + 5/(-25). Determine v so that -3/2 + q*v**2 + 3/2*v = 0.
-1, 1/2
Let s(u) be the second derivative of 3*u**5/140 + u**4/14 + u**3/14 - 6*u. Factor s(d).
3*d*(d + 1)**2/7
Let a(d) be the first derivative of -2*d**3/39 - 3*d**2/13 - 4*d/13 - 8. Find y such that a(y) = 0.
-2, -1
Suppose 0 = -2*f - 7 + 11. Suppose -4*d - f*q + q + 9 = 0, 13 = 4*d + 5*q. Factor -1/2*p - 1/4 - 1/4*p**d.
-(p + 1)**2/4
Let y(x) be the first derivative of -3*x**5/25 + 3*x**4/10 - x**3/5 - 15. Factor y(w).
-3*w**2*(w - 1)**2/5
Let s(k) be the third derivative of 0*k + 0 - 1/150*k**5 - 1/20*k**4 - 2/15*k**3 - k**2. Solve s(q) = 0.
-2, -1
Let x = -6 + 1. Let t(y) = -50*y**3 - 85*y**2 - 48*y - 13. Let w(u) = 150*u**3 + 254*u**2 + 144*u + 40. Let c(m) = x*w(m) - 16*t(m). Factor c(l).
2*(l + 1)*(5*l + 2)**2
Let 3/5*d**5 - 3/5*d**4 - 18/5*d**3 - 6/5*d**2 + 3*d + 9/5 = 0. Calculate d.
-1, 1, 3
Let d(j) be the third derivative of 5*j**8/48 + 20*j**7/21 + 3*j**6 + 8*j**5/3 - 10*j**4/3 - 5*j**2. Determine w, given that d(w) = 0.
-2, 0, 2/7
Let u(c) be the third derivative of c**5/6 - c**4/4 - 2*c**3/3 + 6*c**2. Factor u(p).
2*(p - 1)*(5*p + 2)
Let p(n) be the second derivative of -n**6/15 + n**4/6 - 24*n. Suppose p(g) = 0. What is g?
-1, 0, 1
Let g(q) be the 