 + 4*t. Let z(l) = -9*l**2 - 4*l. Let o(g) = n*z(g) - 7*p(g). Let o(x) = 0. What is x?
-2, 0
Let n = -8 - -11. Factor 0*h + 2*h**n + h - 2*h - h**3.
h*(h - 1)*(h + 1)
Let n(l) be the second derivative of 1/9*l**3 + 0 + 2*l - 1/36*l**4 - 1/6*l**2. Factor n(r).
-(r - 1)**2/3
Let d(i) = i - 7. Let m be d(10). Let 2/5*b**m + 4/5*b**2 + 0 + 2/5*b = 0. Calculate b.
-1, 0
Let h be (-80)/(-70)*28/40. Suppose 2/5*j - 2/5*j**2 + h = 0. What is j?
-1, 2
Suppose 2*c - 15 = 11. Let l(w) = 15*w**3 - 3*w**2 + 16*w + 21. Let u(q) = 7*q**3 - q**2 + 8*q + 10. Let n(d) = c*u(d) - 6*l(d). Factor n(o).
(o + 1)*(o + 2)**2
Let q(u) be the third derivative of 0 - 2*u**2 + 1/120*u**5 - 1/840*u**7 + 0*u**4 + 0*u - 1/24*u**3 + 0*u**6. Factor q(c).
-(c - 1)**2*(c + 1)**2/4
Let o(x) = 35*x**4 - 15*x**3 - 105*x**2 + 55*x. Let h(n) = 5*n**4 - 2*n**3 - 15*n**2 + 8*n. Let v(l) = -15*h(l) + 2*o(l). Factor v(u).
-5*u*(u - 1)**2*(u + 2)
Let q(y) = 4*y**4 + 12*y**3 - 8. Let a(l) = -3*l**4 - 8*l**3 + 5. Let g(n) = 8*a(n) + 5*q(n). Factor g(d).
-4*d**3*(d + 1)
Find g such that 1/2*g**3 - 6 - 25/2*g - 13/2*g**2 + 1/2*g**4 = 0.
-3, -1, 4
Factor 1/3*u**4 - 2/3*u**3 + 0*u + 1/3*u**2 + 0.
u**2*(u - 1)**2/3
Let y = -1 - -5. Let b be ((-348)/(-1479))/(4/34). Factor 2/3*i**y - 2/3*i**b + 0 + 0*i**3 - 1/3*i**5 + 1/3*i.
-i*(i - 1)**3*(i + 1)/3
Let k(o) = -o. Let y be k(-2). Solve j - 9 - j**y - j - 8*j + 2*j = 0.
-3
Factor 4/5*s**2 + 0*s - 16/5.
4*(s - 2)*(s + 2)/5
Let j(x) = 21 + 0*x**2 + 11 - 2*x**2 + 23*x - 10. Let l(n) = -3*n**2 + 24*n + 21. Let g(a) = -6*j(a) + 5*l(a). Let g(b) = 0. Calculate b.
-3
Let k(b) be the second derivative of b**7/210 - b**6/75 + b**5/100 - 40*b. Factor k(n).
n**3*(n - 1)**2/5
Let v(x) = 8*x**3 + 8*x**2 + 2*x - 2. Let j(o) = 9*o**3 + 9*o**2 - 2*o + 4*o**4 + 4*o - 5*o**4 - 3. Let w(h) = -2*j(h) + 3*v(h). Factor w(r).
2*r*(r + 1)**3
Factor 3*c**4 - 2*c**5 + c**3 - c**4 + 3*c**5.
c**3*(c + 1)**2
Suppose 12 = 4*j, 4*y + 3*j = 4 + 13. Factor -1/3*b**4 + 0 + 2/3*b**3 + 0*b - 1/3*b**y.
-b**2*(b - 1)**2/3
Let j(y) be the third derivative of y**8/560 - y**7/350 - 3*y**6/200 + y**5/20 - y**4/20 + 9*y**2 - 5. Determine n, given that j(n) = 0.
-2, 0, 1
Let g be 8 + -5 - -191*1. Let k = g - 379/2. Suppose 2*r**4 + 0 + 3*r**2 + k*r**3 + 1/2*r = 0. Calculate r.
-1, -1/4, 0
Let h = 122/37 - -4/111. Factor 0*a - 2*a**3 + 4/3*a**2 + 0 - h*a**4.
-2*a**2*(a + 1)*(5*a - 2)/3
Let z(o) be the first derivative of 2 + 1/18*o**4 + 2/27*o**3 - 2/9*o - 1/9*o**2. Let z(j) = 0. Calculate j.
-1, 1
Let d(n) be the first derivative of -n**4 - 4*n**3/3 + 4*n**2 - 13. Find z such that d(z) = 0.
-2, 0, 1
Solve -5/7*w**2 - 1/7*w + 3/7*w**4 + 2/7 + 1/7*w**3 = 0 for w.
-1, 2/3, 1
Suppose -22 = 5*r - 37. Let t(a) be the first derivative of 66/5*a**5 - 5/2*a**6 + 2 + 32*a**r - 57/2*a**4 - 39/2*a**2 + 6*a. Determine c so that t(c) = 0.
2/5, 1
Determine c, given that 4/9*c + 0*c**2 - 2/9*c**4 - 4/9*c**3 + 2/9 = 0.
-1, 1
Let g(o) = -5*o**5 + 2*o**4 + 12*o**3 + 2*o**2 - 5*o. Let w(p) = p**5 - p**4 - p**3 - p**2 + p. Suppose -5 = -z - 4*z. Let f(c) = z*g(c) + 6*w(c). Factor f(v).
v*(v - 1)**4
Suppose 3*u + 3 = -0*v - 4*v, v + 5*u = -5. Let o = -24 - -27. Let 2 + v + 3*t - 8*t**2 + 0*t + 3*t**o = 0. What is t?
-1/3, 1, 2
Let w(d) be the second derivative of -16/9*d**2 - 8/27*d**3 - 1/54*d**4 - 8*d + 0. Factor w(k).
-2*(k + 4)**2/9
Suppose 0 = -3*o - 18 + 75. Let r be 3/15*o + -3. Factor -r*k**4 + 2/5*k + 0 + 4/5*k**2 + 0*k**3 - 2/5*k**5.
-2*k*(k - 1)*(k + 1)**3/5
Let 1/2*n - n**3 + 1/2*n**5 - n**2 + 1/2 + 1/2*n**4 = 0. Calculate n.
-1, 1
Let k = -2 + -10. Let p be 15/12*k/(-10). Factor 0 - 15/2*s**4 + 9/2*s**5 + 3/2*s**2 + 0*s + p*s**3.
3*s**2*(s - 1)**2*(3*s + 1)/2
Let x = 0 - -2. Find z, given that -3*z**2 - z + 2*z + 0*z + x*z**2 = 0.
0, 1
Let o(l) be the third derivative of 2*l**2 + 7/160*l**6 + 1/12*l**3 - 1/32*l**4 + 0 + 0*l - 1/12*l**5. Factor o(z).
(z - 1)*(3*z + 1)*(7*z - 2)/4
Let l be 3 + 0 - 17/6. Let f(u) be the first derivative of -1/4*u**2 + 1/8*u**4 - 1/2*u + l*u**3 + 2. Factor f(h).
(h - 1)*(h + 1)**2/2
Let t(u) be the first derivative of u**6/360 - u**4/72 + u**2/2 + 1. Let j(y) be the second derivative of t(y). Solve j(q) = 0 for q.
-1, 0, 1
Let p(j) be the first derivative of -2*j**3/9 + 2*j**2/3 + 2*j + 11. Factor p(g).
-2*(g - 3)*(g + 1)/3
Let v(q) = 4*q**4 + 6*q**3 + 5*q**2 + 3*q - 3. Let c(k) = 7*k**4 + 11*k**3 + 9*k**2 + 5*k - 5. Let d(t) = 6*c(t) - 10*v(t). Factor d(r).
2*r**2*(r + 1)*(r + 2)
Let w = -38 + 344/9. Factor 0*n**2 + 4/9*n**3 + w*n**4 + 0 + 0*n.
2*n**3*(n + 2)/9
Let p = 637/2580 + 2/645. Factor p - 1/4*k**2 + 0*k.
-(k - 1)*(k + 1)/4
Suppose -16*t = -19*t + 24. Let k(i) be the third derivative of 0*i - 1/40*i**6 + 1/16*i**4 + 0*i**5 + 0*i**7 + 0 + 0*i**3 - 3*i**2 + 1/224*i**t. Factor k(n).
3*n*(n - 1)**2*(n + 1)**2/2
Let m be (105/6)/(-7) - 1175/(-110). Let 52/11*x**3 - 50/11*x**5 + m*x**4 + 0 - 72/11*x**2 + 16/11*x = 0. Calculate x.
-1, 0, 2/5, 2
Let p(c) be the third derivative of -1/120*c**5 + 0 + 0*c**3 + 0*c + 4*c**2 + 1/24*c**4. What is f in p(f) = 0?
0, 2
Suppose -6*s = -2 - 10. Let g(k) be the third derivative of -s*k**2 - 1/30*k**5 + 0*k + 0 + 0*k**3 + 1/24*k**4. Let g(u) = 0. Calculate u.
0, 1/2
Let g(j) be the third derivative of j**8/10080 + j**7/1260 + j**4/3 + 7*j**2. Let p(v) be the second derivative of g(v). Find c such that p(c) = 0.
-3, 0
Let n(b) be the third derivative of 1/144*b**6 + 0*b - 1/180*b**5 + 0 - 2*b**2 + 0*b**4 + 0*b**3 + 1/180*b**7. What is r in n(r) = 0?
-1, 0, 2/7
Let f(w) = -w + 17. Let y be f(13). Let m be (10*(-1 + 2))/2. Solve -4*x**y + 3*x**2 - 2*x + 2*x**m + x**2 + 0*x**2 = 0 for x.
-1, 0, 1
Let o(s) be the second derivative of -s**7/231 + s**6/15 - 43*s**5/110 + 73*s**4/66 - 56*s**3/33 + 16*s**2/11 + 27*s. Suppose o(h) = 0. What is h?
1, 4
Let n be (52/(-6))/(5/(75/(-20))). Let l(p) = -p**3 + 7*p**2 - 7*p + 7. Let j be l(6). Determine c so that -j + 2*c**3 - n*c**2 + 11/2*c = 0.
1/4, 1, 2
Let g(k) be the first derivative of 13/12*k**3 + 27/16*k**4 + 1/4*k**2 + 7/24*k**6 + 6 + 23/20*k**5 + 0*k. Factor g(r).
r*(r + 1)**3*(7*r + 2)/4
Let c(t) be the first derivative of t**6/90 - t**5/30 - t**4/3 - t**3 - 4. Let u(m) be the third derivative of c(m). Factor u(k).
4*(k - 2)*(k + 1)
Let y be 8/6 - 4/(-6). Solve -g**y - 2*g**2 - 8*g + 0*g**2 - g**2 = 0 for g.
-2, 0
Let h be (3 - -5 - -1)*-1. Let g = h + 11. Factor -9/4*i**3 + 0 + 3/4*i**4 + 0*i + 3/2*i**g.
3*i**2*(i - 2)*(i - 1)/4
Let o(b) be the third derivative of -2/315*b**7 + 0*b**3 + 0*b - 3*b**2 + 0 + 1/45*b**5 - 1/504*b**8 + 1/36*b**4 + 0*b**6. Determine s, given that o(s) = 0.
-1, 0, 1
Let l(f) = -f**3 + 8*f**2 + 48*f. Let n be l(12). Factor -2/3*s**4 + n*s**2 + 0 - 2/3*s**5 + 0*s + 0*s**3.
-2*s**4*(s + 1)/3
Let w(h) = h**3 + 7*h**2 - 8*h + 4. Suppose s + 3*s = -32. Let v be w(s). Factor -4*r**4 + r**4 + v*r**2 - r**5 + 2*r**5.
r**2*(r - 2)**2*(r + 1)
Let k(n) be the second derivative of 4/45*n**6 + 2/9*n**4 + 1/63*n**7 + 0*n**2 + 4*n + 0 + 1/9*n**3 + 1/5*n**5. Solve k(r) = 0.
-1, 0
Let a(f) be the first derivative of 4*f**3/3 + 4*f**2 + 4*f - 3. Find w such that a(w) = 0.
-1
Factor -2/5*c**2 - 2/5*c + 0.
-2*c*(c + 1)/5
Factor 0 + 0*t + 4/5*t**3 - 2/5*t**4 - 2/5*t**2.
-2*t**2*(t - 1)**2/5
Let m(t) be the second derivative of t**6/900 - t**5/300 - t**4/30 + t**3/2 + 3*t. Let v(q) be the second derivative of m(q). Solve v(y) = 0 for y.
-1, 2
Let o be -1 - (-2 + 0)*(-3)/(-2). Factor 4/7*y + 2/7 + 2/7*y**o.
2*(y + 1)**2/7
Let g(y) be the second derivative of y**5/110 + y**4/33 - 7*y**3/33 + 4*y**2/11 - 15*y. Let g(r) = 0. What is r?
-4, 1
Let -210*f**3 + 48*f + 405 - 270*f**2 - 5*f**5 - 55*f**4 + 34*f + 53*f = 0. What is f?
-3, 1
Suppose 3*k - 5*k = 0. Solve 3*a**2 - 6*a**3 + 3*a**5 - 4*a**5 + a**2 + k*a + 4*a**4 - a = 0 for a.
0, 1
Let v(m) = 3*m**2 - m - 10. Let u(d) = 12*d**2 - 3*d - 39. Let b(j) = -4*u(j) + 15*v(j). Factor b(w).
-3*(w - 1)*(w + 2)
Let -8/9*l**3 + 16/9*l**4 - 4/9*l**5 + 0 + 4/3*l - 16/9*l**2 = 0. Calculate l.
-1, 0, 1, 3
Let y = -17 + 21. Let s(g) be the first derivative of 32/35*g**5 + 11/14*g**y + 0*g + 0*g**2 - 1 + 1/3*g**6 + 4/21*g**3. Solve s(f) = 0.
-1, -2/7, 0
Factor -60*b**4 - 4*b**3 - 2*b**3 - 35*b**5 + 12*b**2 - 2*b**2 - 9*b**3.
-5*b**2*(b + 1)**2*(7