 - 3. Let h(v) = -6*m(v) - 4*u(v). Find s such that h(s) = 0.
0, 1, 2
Let t be 6/(2/(-1 - 1)). Let l be 10/t*1/(-5). Solve l*a + 2/3 - 1/3*a**2 = 0.
-1, 2
Let i(q) be the first derivative of -q**6/30 + q**5/10 - q**4/12 + q + 3. Let s(u) be the first derivative of i(u). Factor s(n).
-n**2*(n - 1)**2
Let y(b) = b**2. Let a(o) = -2*o**2 + 2*o + 1. Let m(n) = a(n) + 3*y(n). Factor m(h).
(h + 1)**2
Let s(t) be the second derivative of t**10/30240 + t**9/7560 - t**7/1260 - t**6/720 + t**4/4 - 2*t. Let l(n) be the third derivative of s(n). Factor l(v).
v*(v - 1)*(v + 1)**3
Suppose 18 - 3 = 5*u. Let r(l) be the first derivative of 1 - 1/2*l**4 + l**2 - 2/3*l**u + 2*l. Solve r(y) = 0.
-1, 1
Let k = 297 + -4457/15. Let j = 1/15 - k. Let 0 + j*f**3 + 0*f - 1/5*f**2 = 0. What is f?
0, 1
Let h(j) be the third derivative of -j**6/15 + j**4/4 + j**3/3 + 10*j**2. Factor h(g).
-2*(g - 1)*(2*g + 1)**2
Let s(y) = y**3 - 12*y**2 - 12*y - 11. Let r be s(13). Let q be 2/7 + (-2)/(-42). Solve 0*n + n**3 + 1/3*n**5 + q*n**r + 0 + n**4 = 0 for n.
-1, 0
Solve 0*r**2 + 0*r + 0*r**3 + 1/4*r**4 + 0 = 0 for r.
0
Let -1/5*z**3 - 18/5 - 21/5*z - 8/5*z**2 = 0. What is z?
-3, -2
Let p = -183 + 185. Suppose 2/15*k**p - 4/15 + 2/15*k = 0. What is k?
-2, 1
Determine z so that -10/17*z + 2/17*z**2 + 2/17*z**3 + 6/17 = 0.
-3, 1
Factor -2*o**2 + 0 + 0*o + 2/7*o**3.
2*o**2*(o - 7)/7
Let t(k) be the first derivative of k**4/4 + k**3/3 - 13. What is p in t(p) = 0?
-1, 0
Let b be (-44)/(-20) + (-16)/(-20). Let y(c) be the first derivative of 3/10*c**2 - b - 1/15*c**3 - 2/5*c. What is n in y(n) = 0?
1, 2
Let o(s) = s**4 + s**3 + s + 1. Let l(x) = 5 + 2 + 6*x**2 + 2*x**4 - 2 + 3*x**4. Let h(f) = -l(f) + 4*o(f). Solve h(r) = 0.
1
Let j(u) be the third derivative of -3*u**2 + 0*u + 0*u**4 - 1/75*u**5 + 0 + 0*u**6 + 1/525*u**7 + 1/15*u**3. Factor j(t).
2*(t - 1)**2*(t + 1)**2/5
Let k = 291 + -289. Let 2/5*w**3 + 2/5*w**k + 0 + 0*w = 0. Calculate w.
-1, 0
Let d(a) be the third derivative of -a**8/336 + a**7/210 + a**6/20 - 7*a**5/30 + 11*a**4/24 - a**3/2 + 20*a**2. Solve d(m) = 0.
-3, 1
Let w(y) be the third derivative of -1/20*y**5 - 2*y**3 + 0 + 0*y - 1/2*y**4 - 4*y**2. Let w(b) = 0. What is b?
-2
Let z(g) = 0*g + 0*g**2 + 0*g + g - g**3 - g**2. Let m(h) = -3 - 2*h + 3. Let r(k) = m(k) + 2*z(k). Factor r(p).
-2*p**2*(p + 1)
Let p be 2/(-4) + 28/8. Factor 2*t**p - 6*t**3 + 3*t**3 + t + 0*t.
-t*(t - 1)*(t + 1)
Let w = 4 + 0. Suppose w = -5*z - 3*k - 8, -z + k = -4. Let 1/4*d**3 + 0*d**2 + 0 + z*d = 0. What is d?
0
Let x(p) be the second derivative of p**5/20 - p**4/6 + p**3/6 + 14*p. Find s such that x(s) = 0.
0, 1
Let i(d) = 3*d**3 - 27*d**2 - 15*d - 15. Let t(s) = s**2 + s + 1. Let p(j) = -i(j) - 15*t(j). Factor p(u).
-3*u**2*(u - 4)
Let k(x) be the third derivative of -x**4/24 - x**3/2 + 3*x**2. Let o be k(-5). Let -p - 2*p**2 - p - o*p = 0. Calculate p.
-2, 0
Let t(d) be the first derivative of -d**6/6 - d**5 - 5*d**4/2 - 10*d**3/3 - 5*d**2/2 - d - 4. Suppose t(l) = 0. What is l?
-1
Let c(w) be the first derivative of w**4/12 + w**3/6 + 3*w + 1. Let i(t) be the first derivative of c(t). Factor i(b).
b*(b + 1)
Let i(s) = -s**2 + 4*s - 7. Let h(x) be the second derivative of -x**4/12 + 2*x**3/3 - 4*x**2 - 6*x. Let p(w) = 3*h(w) - 4*i(w). Factor p(a).
(a - 2)**2
Let f be (-12)/(-70)*(-56)/(-8). Find b such that 9/5 + 1/5*b**2 + f*b = 0.
-3
Let n(w) be the third derivative of -w**6/1800 + w**5/300 - w**4/120 - w**3/6 + 2*w**2. Let o(y) be the first derivative of n(y). Let o(s) = 0. What is s?
1
Let g = -6754/3 + 2292. Let f = 41 - g. Suppose f*s**2 + 1/3*s**3 - 1/3*s - 1/3 = 0. Calculate s.
-1, 1
Factor 1/4*j**2 - 1 - j + 1/4*j**3.
(j - 2)*(j + 1)*(j + 2)/4
Let k be 46/14 - (-31 + 34). Determine y, given that 0*y**2 - k*y**5 + 0 + 0*y**4 - 2/7*y + 4/7*y**3 = 0.
-1, 0, 1
Let m = 13 - 9. What is n in 4*n**4 + m*n**2 - n**4 + 3*n**4 - 2*n**2 + 2*n**5 + 6*n**3 = 0?
-1, 0
Factor -2/5 - 4/5*j**3 + 4/5*j + 2/5*j**4 + 0*j**2.
2*(j - 1)**3*(j + 1)/5
Let v(h) be the second derivative of h**7/210 - h**6/25 + 11*h**5/100 - h**4/30 - 2*h**3/5 + 4*h**2/5 + 9*h. Factor v(k).
(k - 2)**3*(k - 1)*(k + 1)/5
Factor 0 - 1/2*g**3 - 49/2*g - 7*g**2.
-g*(g + 7)**2/2
Let b be (-1)/6*3 - (-5)/6. Let h(r) be the first derivative of 0*r**2 + 1 + 0*r - 1/2*r**4 + 2/3*r**3 + b*r**6 - 2/5*r**5. Determine w, given that h(w) = 0.
-1, 0, 1
Factor 7*t + 3*t**3 - 9*t**2 - 3*t + 2*t.
3*t*(t - 2)*(t - 1)
Suppose 2*y - 3*y = -4. Suppose 2 - 14 = -y*i. Factor 1/5 + 1/5*s**4 + 1/5*s - 2/5*s**2 - 2/5*s**i + 1/5*s**5.
(s - 1)**2*(s + 1)**3/5
Let u(n) be the first derivative of -n**8/280 + 2*n**7/525 + 3*n**2/2 + 1. Let j(q) be the second derivative of u(q). Factor j(a).
-2*a**4*(3*a - 2)/5
Factor y - 5/4*y**3 + 0 + 1/4*y**2.
-y*(y - 1)*(5*y + 4)/4
Let -6/7*y**3 + 2/7*y**5 + 2/7*y**2 + 0 - 2/7*y**4 + 4/7*y = 0. What is y?
-1, 0, 1, 2
Let 2*q**2 + q**2 - 6 + 5*q + 2*q - 4*q = 0. What is q?
-2, 1
Let r(w) be the second derivative of -w**5/14 - w**4/6 + 8*w**3/21 + 4*w**2/7 - 10*w. Factor r(m).
-2*(m - 1)*(m + 2)*(5*m + 2)/7
Let j(k) = 3*k**4 - 7*k**3 + 10*k**2 - 4*k - 2. Let d(u) = -13*u**4 + 29*u**3 - 41*u**2 + 16*u + 9. Let i(z) = -4*d(z) - 18*j(z). Let i(r) = 0. Calculate r.
0, 1, 2
Let b be (2/24)/((-6)/(-12)). Let m(u) be the first derivative of 1 + u**2 - 2/3*u**3 - 2/3*u + b*u**4. What is n in m(n) = 0?
1
Suppose -5*c = -4*c + 24. Let t be c/2*3/(-27). Let 0 - 2*o**2 + t*o - 8*o**3 - 14/3*o**4 = 0. Calculate o.
-1, 0, 2/7
What is c in 2*c + 6 - 1/2*c**2 = 0?
-2, 6
Let v(i) be the second derivative of 1/3*i**2 - 1/18*i**4 + 0 - 3*i + 0*i**3. Factor v(a).
-2*(a - 1)*(a + 1)/3
Let p(x) = -x**2 + 2*x + 4. Let i be p(-3). Let d be 3/(-9)*(2 + i). Determine w so that 0 - 4/3*w**d + 0*w**2 + 0*w + 2/3*w**4 = 0.
0, 2
Let s(c) = 2*c**5 + 3*c**3 + c**2 + 3*c. Let u(i) = -3*i**5 - i**4 - 4*i**3 - 4*i. Let v(m) = -4*s(m) - 3*u(m). Factor v(t).
t**2*(t - 1)*(t + 2)**2
Let n(k) = -2*k**3 - 60*k**2 - 243*k - 317. Let v(l) = -3*l**3 - 60*l**2 - 242*l - 318. Let p(f) = -2*n(f) + 3*v(f). Find r, given that p(r) = 0.
-4
Let y = 53 + -50. Determine g so that -g**y + 0*g + 2/3*g**2 + 1/3*g**4 + 0 = 0.
0, 1, 2
Let f(z) = -z**2 - z + 4. Let n be f(0). What is r in 2*r**5 + 6*r**n + 0*r**3 - 5*r**5 + 2*r**2 - 6*r**3 + r**5 = 0?
0, 1
What is q in 0*q + 1/2*q**3 + 0 + q**2 = 0?
-2, 0
Let r(x) be the second derivative of x**7/40 + x**6/32 - x**5/40 + 3*x**2 + 8*x. Let a(n) be the first derivative of r(n). Suppose a(c) = 0. What is c?
-1, 0, 2/7
Factor 1755*v**4 + 9 + 5 + 855*v**2 - 25*v - 4 - 2025*v**3 - 130*v.
5*(3*v - 1)**3*(13*v - 2)
Let h(i) = 2*i - 8. Let k be h(6). Let t be 39/12 + 5/(-20). Factor 30*s**t + 6*s**3 + k*s**3 - 8*s**2 - 50*s**4.
-2*s**2*(5*s - 2)**2
Let r(l) = 2*l**5 - l**5 - 4*l**3 + 3*l + 0*l. Let d(f) = -6*f**5 + 23*f**3 - 17*f. Let w(a) = -6*d(a) - 34*r(a). Factor w(t).
2*t**3*(t - 1)*(t + 1)
Let t(h) = -h**3 + h**2 + h - 1. Let a(i) = -6*i**3 + 11*i**2 + 8*i - 13. Let y(l) = 4*a(l) - 28*t(l). Factor y(r).
4*(r - 1)*(r + 2)*(r + 3)
Let h(b) = -b**3 - b**2 + b + 1. Let o(s) = -s**4 + 9*s**3 + 10*s**2 - 9*s - 9. Let m(j) = 18*h(j) + 2*o(j). Factor m(n).
-2*n**2*(n - 1)*(n + 1)
Determine m, given that 20/3*m + 40/3 - 5/3*m**4 - 25/3*m**3 - 10*m**2 = 0.
-2, 1
Determine q so that 20/7 - 6/7*q - 2/7*q**2 = 0.
-5, 2
Let r be (-3)/18*-3*12. Let y be ((-42)/196)/(r/(-8)). Determine g so that y*g + 0 - 2/7*g**2 = 0.
0, 1
Let c(x) = -x**4 + x**2. Let z(r) = 6*r**2 + 7*r**3 - r**3 + 2*r**4 + r**3 - 2*r + 3*r. Let k = -6 - -5. Let n(s) = k*c(s) + z(s). Let n(p) = 0. What is p?
-1, -1/3, 0
Factor -7*z**2 + 3*z + 5*z**2 + z.
-2*z*(z - 2)
Let r(o) be the second derivative of -o**7/126 - o**6/45 + o**5/15 + 2*o**4/9 + 27*o. Factor r(h).
-h**2*(h - 2)*(h + 2)**2/3
Let i(p) be the second derivative of p**4/6 - 8*p**3/3 + 16*p**2 + 5*p. Factor i(k).
2*(k - 4)**2
Let a(p) be the second derivative of -p**7/1260 + p**6/1080 + p**5/360 + p**3/3 - 3*p. Let m(d) be the second derivative of a(d). Factor m(q).
-q*(q - 1)*(2*q + 1)/3
Suppose -3*b - 2 = 4*k, -4*b = -5*k - 8 - 10. Factor g**4 - 3*g**3 + g**3 - 6*g**2 + b + g + 3*g**4 + g.
2*(g - 1)**2*(g + 1)*(2*g + 1)
Factor 71*l + 2 - 5*l**4 - 8*l**3 + 2 + l**4 - 63*l.
-4*(l - 1)*(l + 1)**3
Let y = 16 - 16