- 1)*(4*r + 1)
Let r(j) = j - 3. Let k be r(3). Let z = 0 - k. Factor 2*n**3 - 2*n + 11*n**2 + z*n**2 - 7*n**4 - 4*n**2.
-n*(n - 1)*(n + 1)*(7*n - 2)
Let t = 1283/40290 + 2/1343. Let o(q) be the second derivative of 0 - 3*q - 1/20*q**5 + 1/6*q**3 + 0*q**2 + 1/12*q**4 - t*q**6. Suppose o(k) = 0. What is k?
-1, 0, 1
Let i(h) be the first derivative of h**6/2 + 21*h**5/10 + 9*h**4/4 - h**3/2 - 3*h**2/2 - 74. Determine z so that i(z) = 0.
-2, -1, 0, 1/2
Suppose 0*f**3 - 2/7*f**4 + 2/7*f**2 + 0*f + 0 = 0. Calculate f.
-1, 0, 1
Let p be 2/1*((-8)/10 + 1). Let i(f) be the second derivative of p*f**2 - 3*f + 1/30*f**4 + 1/5*f**3 + 0. Factor i(u).
2*(u + 1)*(u + 2)/5
Suppose -i - 4*r = -9*r + 26, -14 = -i - 3*r. Let q be 3 - (i - (-24)/7). Solve q*p**4 + 2/7*p + 0 + 0*p**3 - 4/7*p**2 - 2/7*p**5 = 0.
-1, 0, 1
Suppose -2*i = 3*i - i. Factor i*s**2 + 0 - 2/5*s**5 - 2/5*s**3 + 0*s - 4/5*s**4.
-2*s**3*(s + 1)**2/5
Factor 20*y**2 + 9 - 9 + 15*y - 35*y**3.
-5*y*(y - 1)*(7*y + 3)
Let r be (7/(-35))/(((-9)/35)/3). Find a such that -1/3 - 2*a + r*a**2 = 0.
-1/7, 1
Suppose -1/7*y + 0 + 2/7*y**2 - 1/7*y**3 = 0. What is y?
0, 1
Let f be -1 + -2 - 2*-1. Let y(h) = -h**5 - h**4 - h**3 - 1. Let w(o) = 2*o**5 + 5*o**4 + 2*o**3 + 3. Let q(s) = f*w(s) - 3*y(s). Factor q(n).
n**3*(n - 1)**2
Let t(d) be the third derivative of -d**7/1470 - d**6/210 + d**5/140 + 3*d**4/28 + 25*d**2. Factor t(f).
-f*(f - 2)*(f + 3)**2/7
Let q(f) be the first derivative of 3*f**2 - 9*f**3 + 0*f + 3 + 9/4*f**4 + 12/5*f**5. Solve q(w) = 0.
-2, 0, 1/4, 1
Let q = 11 + -8. Suppose 5 = -3*h - 1, -4 = -x + h. What is p in q*p**2 + 2 - p**3 + p - 1 - 2 - x*p**2 = 0?
-1, 1
Let o(y) be the first derivative of -21*y**5/25 + 39*y**4/10 - 27*y**3/5 + 6*y**2/5 + 12*y/5 - 1. Let o(g) = 0. What is g?
-2/7, 1, 2
Let c(i) = -i**3 + 2*i**2 - 7*i + 2. Let o(m) = -2*m**3 + 3*m**2 - 1 + m + 7 - 16*m - 2. Let y(d) = 5*c(d) - 2*o(d). Suppose y(s) = 0. What is s?
1, 2
Find q such that -2/3 + 2/3*q - 1/6*q**2 = 0.
2
Let f(a) be the first derivative of -a**3/3 - a**2 - a + 5. Suppose f(v) = 0. Calculate v.
-1
Suppose 3*k = -2*k + 5. Determine r so that 0*r - 9*r**2 + 9*r - 2 + 0*r - k + 3*r**3 = 0.
1
Suppose -m + 6*m - 4*m = 0. Find v such that m + 2/5*v + 6/5*v**3 + 2/5*v**4 + 6/5*v**2 = 0.
-1, 0
Solve -2/9*p + 4/9 - 2/9*p**2 = 0 for p.
-2, 1
Factor -9/2*h**2 - 3/2*h**3 + 0 - 3*h.
-3*h*(h + 1)*(h + 2)/2
Let k(o) be the second derivative of -4*o**6/15 + 2*o**5/5 + 7*o**4/6 + 2*o**3/3 - 9*o. Let k(w) = 0. Calculate w.
-1/2, 0, 2
Let j(v) be the first derivative of 8 + 1/14*v**6 - 2/7*v**3 - 12/35*v**5 + 15/28*v**4 + 0*v**2 + 0*v. Factor j(q).
3*q**2*(q - 2)*(q - 1)**2/7
Let 0*i**2 + 3/2*i**3 - 3/2*i**5 + 0*i**4 + 0 + 0*i = 0. Calculate i.
-1, 0, 1
Suppose 2*j + 14 = p, 0*p - 3*j - 3 = 3*p. Factor -2*q**4 + 0*q**4 - q**2 + 3*q**p.
q**2*(q - 1)*(q + 1)
Let y = 165 - 491/3. Determine u, given that 2/3*u**5 - y*u**2 + 2/3 + 2/3*u**4 - 4/3*u**3 + 2/3*u = 0.
-1, 1
Let t(w) be the second derivative of w**8/168 - w**6/30 + w**4/12 - w**2 - w. Let p(f) be the first derivative of t(f). What is h in p(h) = 0?
-1, 0, 1
Let a(h) = 7*h**5 - 15*h**4 - 11*h**3 + 11*h + 11. Let m(v) = 2*v**5 - 4*v**4 - 3*v**3 + 3*v + 3. Let d(y) = 6*a(y) - 22*m(y). Factor d(p).
-2*p**4*(p + 1)
Let -2*k**4 + 3*k**2 + 2*k + 104*k**3 - 215*k**3 + 108*k**3 = 0. Calculate k.
-2, -1/2, 0, 1
Let t = 267 + -150. Factor -120*l**3 - 21 - 391*l - 3*l**5 + 240*l**2 + t + 30*l**4 + 151*l.
-3*(l - 2)**5
Let i = 26 - 129/5. Factor i - 48/5*z**4 - 12/5*z + 64/5*z**5 + 47/5*z**2 - 52/5*z**3.
(z - 1)*(z + 1)*(4*z - 1)**3/5
Let y = -4/63 + 1/15. Let f(c) be the third derivative of 0*c + 0*c**6 + 2*c**2 + 0*c**3 + 0 + 0*c**4 + y*c**7 - 1/90*c**5. Factor f(x).
2*x**2*(x - 1)*(x + 1)/3
Determine v, given that -8/3*v**2 - 1/3*v**3 - 6 - 7*v = 0.
-3, -2
Let t(w) be the first derivative of w**3/3 + 9*w**2/2 + 14*w - 46. Factor t(g).
(g + 2)*(g + 7)
What is a in 4/5*a**3 + 8/5*a + 12/5*a**2 + 0 = 0?
-2, -1, 0
Let p = -1 - -3. Suppose -4*z - p = -6. Factor 2*y + z - 2 + y**2 + 2.
(y + 1)**2
Factor 1/4 + 0*o - 1/4*o**2.
-(o - 1)*(o + 1)/4
Let g(q) be the third derivative of q**8/168 - q**6/60 - 11*q**2. Factor g(m).
2*m**3*(m - 1)*(m + 1)
Let f be 3 - 1 - (1 + -3). Determine j, given that j**3 - 2*j + f - 3 + j**3 - j**4 = 0.
-1, 1
Let b = 369/2 - 184. Find r such that -b*r**3 + 1/2*r - 1/2*r**4 + 3/2*r**2 - 1 = 0.
-2, -1, 1
Let x(m) = -7*m**2. Let i(j) be the third derivative of j**5/15 - j**2. Let u(q) = 11*i(q) + 6*x(q). Solve u(o) = 0.
0
Factor -9*d - 5*d**2 + 3 + 3*d**2 + 4*d.
-(d + 3)*(2*d - 1)
Let y(n) be the second derivative of -1/120*n**6 + 1/48*n**4 - n + 0*n**3 + 0*n**5 + 0 + 0*n**2. Factor y(p).
-p**2*(p - 1)*(p + 1)/4
Let h(i) = -31*i - 5. Let b be h(-4). Factor -49*y - 10 - b*y**2 + 17*y + 49*y**3 - 2 - 48*y.
(y - 3)*(7*y + 2)**2
Let y = -72 + 36. Let t be (-96)/y - (-2)/6. Factor 1/4*u**4 - 1/4*u**2 + 0 + 0*u**t + 0*u.
u**2*(u - 1)*(u + 1)/4
Let w(s) be the first derivative of 0*s**4 + 1/6*s**3 - 1/24*s**6 - 5 + 0*s - 1/10*s**5 + 1/8*s**2. Factor w(r).
-r*(r - 1)*(r + 1)**3/4
Let n(x) be the second derivative of x**4/3 + 4*x**3 + 10*x**2 + 19*x. Let n(m) = 0. What is m?
-5, -1
Let l(k) = -k**2 - 39*k - 108. Let q be l(-36). Determine p so that 0 - 1/3*p + q*p**2 + 1/3*p**3 = 0.
-1, 0, 1
Let s(j) = j**3 + j - 1. Let n(o) = 3*o**3 - 24*o**2 + 47*o - 31. Let x(y) = -n(y) - s(y). Factor x(k).
-4*(k - 2)**3
Let b(m) be the third derivative of -m**10/75600 - m**9/7560 - m**8/2100 - m**7/1575 - m**4/24 - 5*m**2. Let y(o) be the second derivative of b(o). Factor y(t).
-2*t**2*(t + 1)*(t + 2)**2/5
Let u(l) be the second derivative of 4*l + 6*l**2 - 3/4*l**4 + 0 + 0*l**3 + 3/20*l**5. Let u(f) = 0. Calculate f.
-1, 2
Let w(d) be the second derivative of -d**9/10584 + d**7/2940 - d**3/3 + 3*d. Let k(z) be the second derivative of w(z). Factor k(g).
-2*g**3*(g - 1)*(g + 1)/7
Let j be (((-132)/(-16))/11)/6. Let -j*h**3 - 9/8*h**2 - 27/8 - 27/8*h = 0. Calculate h.
-3
Let x be (-16)/(-1300)*5/(-2). Let k = x + 463/260. Suppose 0 + 1/2*r - k*r**2 - r**3 = 0. Calculate r.
-2, 0, 1/4
Factor 0 + 0*m - 16/15*m**2 + 2/15*m**3.
2*m**2*(m - 8)/15
Let l(t) be the second derivative of 1/9*t**3 + 0 + 3*t - 2/3*t**2 + 1/18*t**4. Find s such that l(s) = 0.
-2, 1
Let c(u) be the third derivative of -1/480*u**6 + 0*u**4 + 0*u + 0*u**3 + 0 - 1/240*u**5 + 5*u**2. Factor c(r).
-r**2*(r + 1)/4
Let r(t) be the third derivative of t**7/315 - t**6/180 - t**5/45 - 40*t**2. Let r(c) = 0. Calculate c.
-1, 0, 2
Let a be 16/5 + 2/(-10). Factor -6*t**2 - 26*t**4 - 21*t**4 + 50*t**4 - a*t**3.
3*t**2*(t - 2)*(t + 1)
Let i(t) = 3*t - 7. Let b be i(5). Let h be (b*-2)/(-4) - 2. Find m such that 0*m + 2/5*m**h - 2/5 = 0.
-1, 1
Let l(n) = 4*n**5 - 9*n**3 + 5*n**2 + 5*n - 5. Let w(u) = 4*u**5 - 10*u**3 + 6*u**2 + 6*u - 6. Let a(o) = 6*l(o) - 5*w(o). What is t in a(t) = 0?
-1, 0, 1
Let w = -81 - -84. Factor -2/5*l**5 - 6/5*l**4 + 0*l - 6/5*l**w - 2/5*l**2 + 0.
-2*l**2*(l + 1)**3/5
Factor -b**5 + 2*b**2 + b**4 + 0*b**2 - 2*b**2 - b**2 + b**3.
-b**2*(b - 1)**2*(b + 1)
Let q = 34 - 31. Let y be 0/((-1)/q*3). Suppose 4/9*i**2 + 0 - 2/3*i**5 - 4/9*i**4 + 2/3*i**3 + y*i = 0. What is i?
-1, -2/3, 0, 1
Let z = 1 - -1. Suppose z*j - 5*j = 0. Solve j*d + 2/7*d**4 + 2/7*d**2 + 0 - 4/7*d**3 = 0 for d.
0, 1
Let h(t) be the first derivative of 3 + 0*t - 7/4*t**4 + 0*t**2 - 2/3*t**3. Let h(z) = 0. What is z?
-2/7, 0
Let h(l) be the first derivative of 2*l**5/45 - l**4/9 + 2*l**3/27 - 7. Suppose h(p) = 0. Calculate p.
0, 1
Let x(a) be the second derivative of -1/21*a**4 + 0*a**2 + 0 - 3/70*a**5 - 1/105*a**6 + 0*a**3 + 2*a. Let x(j) = 0. Calculate j.
-2, -1, 0
Let d = -13 - -15. Determine v, given that -v**3 + 9*v + d*v**3 - 9*v + 2*v**4 + v**5 = 0.
-1, 0
Let q(b) be the third derivative of 5*b**8/144 + 17*b**7/42 + 119*b**6/72 + 121*b**5/36 + 15*b**4/4 + 20*b**3/9 - 15*b**2. Suppose q(l) = 0. Calculate l.
-4, -1, -2/7
Let h(v) = -8*v**2 + 6*v + 9. Let k(r) = 7*r**2 - 5*r - 8. Let y(x) = 6*h(x) + 7*k(x). Determine n so that y(n) = 0.
-2, 1
Solve -2/7*o - 4/7*o**2 - 2/7*o**3 + 0 = 0 for o.
-1, 0
Let t be (9/(-30))/(414/(-230)). Let -1/6 - t*k**2 - 1/3*k = 0. What is k?
-1
Suppose -3*v = -12 + 6. Let k be -4 - (-8 - (v - 1)). Sup