/5*j**i.
2*(j + 1)**4*(7*j - 2)/5
Let v(i) = i**3 + 3*i - 4. Let d(m) = -3*m**3 - 8*m + 11. Suppose 6 = -w + 2. Let k be 22*-1*(-1)/(-2). Let c(s) = k*v(s) + w*d(s). Factor c(p).
p*(p - 1)*(p + 1)
Suppose -5*a = -3*a + 5*t - 95, -2*t - 25 = -a. Let s be -4 - a/(10/(-2)). Determine j, given that 13/5*j**2 - 6/5*j**s + 1/5*j**4 + 4/5 - 12/5*j = 0.
1, 2
Let m(h) = -h**2 + 15*h - 9. Let q be m(9). Suppose 2*b = l - 3 + 8, -5*b - 4*l = -q. Let -2/3*i**3 + 0*i**2 + 1/3*i + 0*i**4 + 1/3*i**b + 0 = 0. Calculate i.
-1, 0, 1
Let t(f) = -2*f**3 - 4*f**2 - 5*f**3 - 1 + 4*f - 7. Let n(x) = -x**3 - 1. Let i(k) = 24*n(k) - 3*t(k). Factor i(y).
-3*y*(y - 2)**2
Solve -16*u**2 - 20*u**2 + 8 + 0 + 4*u**2 - 20*u**3 - 4*u = 0.
-1, 2/5
Suppose -2/3*b**3 - 10/3*b + 4/3 + 8/3*b**2 = 0. What is b?
1, 2
Let a(w) be the first derivative of 0*w**3 - 4 - 1/8*w**4 + 0*w + 1/4*w**2. Solve a(f) = 0.
-1, 0, 1
Let o be (-2)/(-9) - 6/27. Let y(u) be the third derivative of -1/70*u**5 - 1/21*u**3 + 1/21*u**4 + o - u**2 + 0*u. What is p in y(p) = 0?
1/3, 1
Let 6*r**2 - 2*r**2 + 4*r - 3*r**2 - 2*r = 0. Calculate r.
-2, 0
Let d(x) be the second derivative of -2*x**7/105 + 2*x**5/15 - 2*x**3/3 + x**2/2 - 7*x. Let s(m) be the first derivative of d(m). Factor s(w).
-4*(w - 1)**2*(w + 1)**2
Let s = -88 - -92. Let t(i) be the second derivative of 0*i**2 + 0*i**3 - 4*i + 0 - 1/6*i**s. Find k, given that t(k) = 0.
0
Let q be ((-6)/(-8))/((-2)/(-8)). Find i, given that -2*i**4 + 0*i**4 + q*i**5 - i**4 = 0.
0, 1
Suppose 5*m + 3*v + 9 = 0, -2*v + 2 = 8. Let q = 2 + m. Find j such that -1/3*j + 2/3*j**q + 0 - 1/3*j**3 = 0.
0, 1
Let x(k) = 8*k**4 - 2*k**3 - 2*k**2 + 2*k. Let n(z) = -7*z**4 + z**3 + 2*z**2 - z. Let v(y) = 6*n(y) + 5*x(y). Factor v(s).
-2*s*(s - 1)*(s + 1)*(s + 2)
Suppose 28/3*u**2 - 16/3*u + 0 - 2*u**3 = 0. What is u?
0, 2/3, 4
Let r(i) be the first derivative of -i**4/26 - 2. Find a such that r(a) = 0.
0
Factor 69/2*r**2 + 6 - 21/2*r**3 - 30*r.
-3*(r - 2)*(r - 1)*(7*r - 2)/2
Let x(l) = -10*l**3 + 15*l**2 - 2*l - 3. Let g(n) = -n + 1. Let p(f) = -2*g(f) + x(f). Factor p(v).
-5*(v - 1)**2*(2*v + 1)
Let z(p) be the third derivative of p**10/226800 - p**9/45360 + p**8/30240 - p**5/30 + 5*p**2. Let v(l) be the third derivative of z(l). Factor v(h).
2*h**2*(h - 1)**2/3
Find a, given that -735/2*a**4 - 87/2*a**2 - 24*a + 6 + 282*a**3 + 147*a**5 = 0.
-2/7, 2/7, 1/2, 1
Let o(i) = 9*i**3 + 53*i**2 + 187*i + 251. Let h = 15 + -20. Let m(z) = -22*z**3 - 132*z**2 - 468*z - 628. Let c(n) = h*m(n) - 12*o(n). What is l in c(l) = 0?
-4
Let v(h) be the first derivative of h**6/180 + h**5/210 + 2*h**3/3 + 6. Let g(n) be the third derivative of v(n). Determine r so that g(r) = 0.
-2/7, 0
Let p(x) be the third derivative of x**10/75600 + x**9/30240 - x**8/10080 - x**7/2520 - x**5/12 - 2*x**2. Let t(c) be the third derivative of p(c). Factor t(f).
2*f*(f - 1)*(f + 1)**2
Let m(u) = 7*u**3 + 19*u**2 - 12*u - 72. Let o(p) = 36*p**3 + 96*p**2 - 60*p - 360. Let i(h) = 16*m(h) - 3*o(h). Factor i(t).
4*(t - 2)*(t + 3)**2
Let v(q) be the first derivative of q**2 + 2 + 2/3*q**3 + 0*q. What is c in v(c) = 0?
-1, 0
Let z be ((-28)/(-7))/(-12)*-9. Solve 13/2*f**2 - 3*f**z - 6*f + 1/2*f**4 + 2 = 0 for f.
1, 2
Let w(r) be the second derivative of r**4/12 - 17*r. Factor w(n).
n**2
Suppose d - v - 1 = -4, 4*v = -d + 22. Factor -2/5 - 1/5*b + 1/5*b**d.
(b - 2)*(b + 1)/5
Let g(o) be the first derivative of 8*o**5/75 - 14*o**4/15 + 2*o**3 - 26*o**2/15 + 2*o/3 - 29. Suppose g(r) = 0. What is r?
1/2, 1, 5
Let a(n) = 7*n**2 - 80*n + 584. Let i(x) = -13*x**2 + 161*x - 1169. Let k(p) = -7*a(p) - 4*i(p). Factor k(y).
3*(y - 14)**2
Let h(r) be the second derivative of 0*r**4 + r + 1/2*r**2 + 0 + 1/420*r**6 - 1/210*r**5 + 0*r**3. Let z(u) be the first derivative of h(u). Factor z(w).
2*w**2*(w - 1)/7
Let b(w) = -w**2 + 8*w - 7. Let t be b(6). Suppose 2*i = -t*n - 6, 7*i = -2*n + 2*i - 15. Determine m, given that n + 1/5*m**2 + 0*m - 1/5*m**3 = 0.
0, 1
Let t(m) = 2*m**3 - 5*m**2 - m + 3. Let k(a) = -3*a**3 + 6*a**2 + a - 4. Let i(j) = 3*k(j) + 4*t(j). Let i(r) = 0. Calculate r.
-1, 0
Let l(f) be the third derivative of -1/27*f**3 + 1/270*f**5 + 0*f - f**2 + 0*f**4 + 0. Find c such that l(c) = 0.
-1, 1
Let t(i) = -i**3 + i**2 + i - 1. Let p(a) = 3*a**4 + 5*a**2 + 4*a - 4. Let y(h) = 3*p(h) - 12*t(h). Factor y(u).
3*u**2*(u + 1)*(3*u + 1)
Suppose 5*v = 4*y - 28, 14 = -5*v - 6. Factor 4/5*h**y - 2/5 + 2/5*h - 2/5*h**4 - 4/5*h**3 + 2/5*h**5.
2*(h - 1)**3*(h + 1)**2/5
Let w(s) be the first derivative of s**3 + 3*s**2 + 3*s + 16. Determine r, given that w(r) = 0.
-1
Let c = 13 + -8. Let q(i) = 6 + 5*i**2 + i + i + c*i. Let z(n) = n**2 + n + 1. Let w(l) = q(l) - 6*z(l). Factor w(t).
-t*(t - 1)
Determine h, given that -1/2*h**2 - 2 + 2*h = 0.
2
Let l(f) be the first derivative of -f**8/2800 - 2*f**3/3 - 2. Let n(z) be the third derivative of l(z). Factor n(x).
-3*x**4/5
Let b(g) be the first derivative of -5*g**6/2 + 28*g**5/15 + 41*g**4/12 - 28*g**3/9 + 2*g**2/3 + 4. Solve b(j) = 0 for j.
-1, 0, 2/9, 2/5, 1
Let t(s) = s**5 + 9*s**4 + 8*s**3 - 3*s**2 - 9*s - 1. Let n(k) = k**5 + 5*k**4 + 4*k**3 - k**2 - 5*k - 1. Let g(h) = 5*n(h) - 3*t(h). Let g(q) = 0. What is q?
-1, 1
Let i(g) be the third derivative of -1/3*g**3 + 0 + 0*g**5 - 2*g**2 + 0*g + 1/8*g**4 - 1/120*g**6. Factor i(l).
-(l - 1)**2*(l + 2)
Suppose -4*j = -3*p + 7, -3*p - 2 = -2*j - 19. Determine i so that -2*i**2 + 0*i**4 - p*i**4 + 3*i**3 + 16*i**4 + 2*i**3 = 0.
-1, 0, 2/7
Let d = 2/233 - -902/3495. Let g(t) be the first derivative of -1/5*t**2 - 1/10*t**4 + d*t**3 + 0*t - 2. Let g(o) = 0. Calculate o.
0, 1
Let n be (-1 + 2 + 0)*3. Factor -3*c + n + 3*c - 12*c**4 - 33*c**3 - 3*c + c**2 - 28*c**2.
-3*(c + 1)**3*(4*c - 1)
Determine l, given that 3*l + 130 - l**2 - 255 + 123 = 0.
1, 2
Suppose 0 = 3*s, -v = -5*s - 0*s - 3. Let q be 322/315 + (-2)/9. Factor 4/5 - 2/5*p - q*p**2 + 2/5*p**v.
2*(p - 2)*(p - 1)*(p + 1)/5
Suppose 7*p - 1 = 13. Suppose 6*h - 5*c = 2*h - 2, 4*h - c - 6 = 0. Factor 9*t + t**p + h*t**2 - 2*t**2 - 8*t.
t*(t + 1)
Let a(k) = 2*k**2 - 5*k + 2. Let d be a(3). Find v such that -v**3 + v**2 - v**4 - 3*v**5 + v**5 + 3*v**d = 0.
-1, 0, 1
Let b be (2/(-4))/(13/((-182)/21)). Factor 1/3*s**2 - 1/3*s**3 + 0*s - b*s**4 + 1/3*s**5 + 0.
s**2*(s - 1)**2*(s + 1)/3
Let m(p) be the second derivative of p**5/10 + 8*p**4/27 + 5*p**3/27 - 2*p**2/9 + 16*p. Factor m(f).
2*(f + 1)**2*(9*f - 2)/9
Let b(c) = -c + 2. Let j be b(0). Factor -23*d**3 + 5*d**3 + 13*d**j + 8*d + 6*d**4 - 2*d**3 + d**2 - 8.
2*(d - 2)*(d - 1)**2*(3*d + 2)
Let d(y) be the first derivative of -y**6/25 - 11*y**5/50 - y**4/2 - 3*y**3/5 - 2*y**2/5 + y - 3. Let j(a) be the first derivative of d(a). Factor j(i).
-2*(i + 1)**3*(3*i + 2)/5
Let q(n) be the first derivative of 121*n**4/18 - 88*n**3/27 + 4*n**2/9 - 5. Factor q(c).
2*c*(11*c - 2)**2/9
Let o(x) = -x**2 - 9*x - 6. Let r be o(-8). Let h(z) be the first derivative of -1/12*z**3 - 1/8*z**r - 2 + 0*z. Find s such that h(s) = 0.
-1, 0
Let p(t) be the second derivative of 0*t**2 - 2/21*t**3 - 5*t - 5/42*t**4 + 0. Let p(k) = 0. What is k?
-2/5, 0
Determine l, given that -2/7*l**5 + 4/7*l**3 + 0 + 0*l**2 - 2/7*l + 0*l**4 = 0.
-1, 0, 1
Let v(y) be the first derivative of -y**6/6 - 14*y**5/15 - 13*y**4/6 - 8*y**3/3 - 11*y**2/6 - 2*y/3 - 19. Find n such that v(n) = 0.
-1, -2/3
Let p = -9 + 13. Factor 2*w**2 + p*w**3 - w**3 - w**3.
2*w**2*(w + 1)
Let u(d) be the first derivative of 2*d**5/45 - 2*d**3/9 - 2*d**2/9 - 2. Factor u(s).
2*s*(s - 2)*(s + 1)**2/9
Let b be (2 - (-40)/(-25))*5. Solve 2/13*p**b - 2/13 + 0*p = 0 for p.
-1, 1
Suppose -2*i = x + 4*x, 0 = -5*x + i + 15. Let w be 0 + x - (1 + -2). Factor w*y**2 + 0*y - y - y.
y*(3*y - 2)
Let g be (-18)/(-4)*(-68)/(-51). Let m(h) be the first derivative of 0*h + 2/5*h**5 - 1/2*h**2 + 0*h**4 + 3 + 1/6*h**g - 2/3*h**3. Factor m(p).
p*(p - 1)*(p + 1)**3
Let f(k) = -5*k**3 + 3*k**2. Let z be f(2). Let o be (-10)/z*(-4)/(-5). Determine w so that 2/7*w + 0 - o*w**2 = 0.
0, 1
Let l(j) = j**5 + j**4 + j**3 + j. Let a(z) = -3*z**5 - 3*z**4 - z**3 + z**2 - 2*z. Let o(c) = -a(c) - 2*l(c). Factor o(i).
i**2*(i - 1)*(i + 1)**2
Factor 4/7*r**2 + 16/7 - 34/7*r.
2*(r - 8)*(2*r - 1)/7
Let d(u) = 2*u + 3*u**2 + 3 - 9*u - 8 + 2*