 of -49/40*y**5 + 0 + 0*y**2 + 3*y - 1/3*y**3 + 7/6*y**4. Let l(p) = 0. What is p?
0, 2/7
Let f(a) = -a. Let c(p) = -1. Let q(i) = -3*i**2 - i + 5. Let s = 1 - 2. Let x(d) = s*q(d) - 5*c(d). Let y(k) = f(k) - x(k). Factor y(m).
-m*(3*m + 2)
Let o(c) = c - 2. Let w be o(4). Suppose -10 = -v - w. What is x in v - 2*x + 2*x**2 - x - 5*x = 0?
2
Let v(d) be the first derivative of -d**4/2 - 6*d**3 - 15*d**2 + 50*d + 8. Solve v(m) = 0.
-5, 1
Let r = 44/57 + -2/19. Let s(x) = -x - 5. Let z be s(-5). Factor -r*j**3 + 0*j**2 + z*j - 2/3*j**5 + 0 - 4/3*j**4.
-2*j**3*(j + 1)**2/3
Let l(s) = s**4 + s**3 + s - 1. Let t(m) = -6*m**4 - 6*m**3 - 7*m + 7. Let k(g) = 21*l(g) + 3*t(g). Factor k(p).
3*p**3*(p + 1)
Let f be 0/(-6) - 3/(3*-5). Let 0 - 1/5*r**2 + f*r = 0. Calculate r.
0, 1
Suppose 8/7 - 12/7*i - 1/7*i**3 + 6/7*i**2 = 0. Calculate i.
2
Let h = -7 - -23. Factor -2*r - 3*r**3 - r**4 - r**3 + 11*r**2 - h*r**2.
-r*(r + 1)**2*(r + 2)
Suppose -5*w - 5 = 3*y - 5*y, 0 = 3*y - 15. Let s be -2*(-1 + 0/w). Factor -x**4 + 0*x + 0*x**4 - 5*x**s + 4*x**3 + 2*x.
-x*(x - 2)*(x - 1)**2
Let k(x) be the third derivative of -x**7/735 + x**6/420 + x**5/210 - x**4/84 + 2*x**2. Find s, given that k(s) = 0.
-1, 0, 1
Let v(i) be the second derivative of -i**6/50 - 9*i**5/100 - i**4/10 + 4*i. Suppose v(q) = 0. Calculate q.
-2, -1, 0
Suppose 0*c + 2*c - 4 = 0. Suppose -c*i + 4*i - 6 = 0. Factor -4*n**3 + n**i + n**3.
-2*n**3
Let a(l) be the first derivative of l**7/840 + l**6/160 + l**5/120 + 3*l**2/2 - 3. Let s(r) be the second derivative of a(r). Solve s(y) = 0.
-2, -1, 0
Factor -12*h + 0 - 3/2*h**2.
-3*h*(h + 8)/2
Let j be 1*(-6 + 52/8). Let q(l) be the third derivative of 1/16*l**4 - j*l**3 - l**2 + 1/40*l**5 + 0 + 0*l. Factor q(x).
3*(x - 1)*(x + 2)/2
Let w(n) be the second derivative of n**7/14 + n**6/5 - 3*n**5/20 - n**4/2 - 12*n. Factor w(v).
3*v**2*(v - 1)*(v + 1)*(v + 2)
Suppose 5*t - 10 = -45. Let p = t - -11. Factor 2*m**2 + 2*m + p*m**2 - 4*m**2.
2*m*(m + 1)
Let v(s) = s + 3. Let g be v(-3). Let g*u**3 - 7*u**5 + 4*u**5 + 0*u**5 - 2*u**4 + u**3 = 0. Calculate u.
-1, 0, 1/3
Suppose -4*w + 5*m - 32 = 0, 0 = w + 3*m - 4 - 5. Let t be (-120)/21 - -3 - w. Let -2/7*n + 0 + 4/7*n**2 - 4/7*n**4 + t*n**5 + 0*n**3 = 0. Calculate n.
-1, 0, 1
Let d(l) be the third derivative of 0*l - 1/2*l**3 + 0*l**4 + 0 - 4*l**2 + 1/20*l**5 + 1/120*l**6. Let f(h) be the first derivative of d(h). Factor f(g).
3*g*(g + 2)
Let -12/7*x + 2/7*x**2 + 0 = 0. Calculate x.
0, 6
Let g(d) be the first derivative of -d**6/9 - 14*d**5/15 - 19*d**4/6 - 50*d**3/9 - 16*d**2/3 - 8*d/3 + 1. Find h, given that g(h) = 0.
-2, -1
Let n(t) be the first derivative of -t**6/300 - t**5/75 - t**4/60 - t**2/2 + 3. Let w(q) be the second derivative of n(q). Determine z so that w(z) = 0.
-1, 0
Let x = 7 - 11. Let s(d) = -3*d**5 - 6*d**4 - 3*d**3 + 11*d. Let z(v) = v**5 + 2*v**4 + v**3 - 4*v. Let r(f) = x*s(f) - 11*z(f). Determine h so that r(h) = 0.
-1, 0
Let i(r) be the first derivative of r**4/7 + 4*r**3/21 + 8. Let i(a) = 0. Calculate a.
-1, 0
What is a in -9*a + 12*a**3 + 27*a - 26*a**2 - 8 + 6*a - 2*a**4 = 0?
1, 2
Let i(q) be the first derivative of q**6/15 + 7*q**5/30 + q**4/9 + 2*q + 1. Let u(w) be the first derivative of i(w). Factor u(r).
2*r**2*(r + 2)*(3*r + 1)/3
Let o be 1/1*(175/21 - 7). Determine d so that 2*d**3 - 8/3*d**2 + o - 2/3*d = 0.
-2/3, 1
Suppose 0 = 12*z - 55*z. Factor z - 1/4*b**2 - 1/2*b.
-b*(b + 2)/4
Let a = -12 + 10. Let g be (-2)/(-3 + a/(-3)). Find o such that -g*o**3 + 0 - 2/7*o + 6/7*o**2 + 2/7*o**4 = 0.
0, 1
Suppose 0 = 2*h - 3*h + 5. Suppose -9 = 2*k - h*k, 0 = -4*v + 4*k + 4. Determine b so that b - 3*b**2 - 3/2*b**v + 1/4*b**5 + 0 + 13/4*b**3 = 0.
0, 1, 2
Factor -1/5*u - 3/5*u**2 + 2/5 + 1/5*u**3 + 1/5*u**4.
(u - 1)**2*(u + 1)*(u + 2)/5
Let z(h) be the first derivative of -8*h**6 + 52*h**5/5 - 4*h**3/3 - 2. Solve z(k) = 0.
-1/4, 0, 1/3, 1
Let w be (-396)/2592 - 3/(-8). Factor w*j**2 - 2/3 + 4/9*j.
2*(j - 1)*(j + 3)/9
Let s(g) be the third derivative of -g**7/210 + g**6/60 + g**5/15 - g**4/3 + 46*g**2. Suppose s(k) = 0. What is k?
-2, 0, 2
Let r(q) be the third derivative of q**7/280 - q**6/80 + q**5/80 + 6*q**2. Let r(j) = 0. What is j?
0, 1
Let c(k) be the third derivative of 1/150*k**5 + k**2 + 1/60*k**4 - 1/105*k**7 + 0*k**3 + 0 + 0*k - 1/420*k**8 - 1/100*k**6. Solve c(g) = 0 for g.
-1, 0, 1/2
Suppose -r = -5*s - 0*r - 29, s - 3*r = -3. Let c(t) = t + 9. Let k be c(s). Solve -2/5*u**2 + 0 + 2/5*u**4 + 0*u + 0*u**k = 0.
-1, 0, 1
Suppose 4*o = o + 9. Let t(l) be the first derivative of -2 + 3*l**2 + 2*l**o - l**3 + 3. Let t(q) = 0. What is q?
-2, 0
Factor -216/7*n**2 + 27/7*n**3 - 512/7 + 576/7*n.
(3*n - 8)**3/7
Let u(k) be the third derivative of -k**9/90720 + k**7/2520 - k**6/540 - k**5/10 + k**2. Let f(b) be the third derivative of u(b). Find p such that f(p) = 0.
-2, 1
Let v(p) be the third derivative of -p**6/24 - p**5/6 + 5*p**4/24 + 5*p**3/3 + 8*p**2. Find d, given that v(d) = 0.
-2, -1, 1
Factor -2*m**2 - 2*m**3 + 8 - m**4 - 3*m**2 + 2*m**5 - 24*m + 27*m**2 - 5*m**4.
2*(m - 2)*(m - 1)**3*(m + 2)
Let i(l) = 17*l**2 + 34*l. Let o(j) = 3*j**2 + 7*j. Let m(f) = -4*i(f) + 22*o(f). Suppose m(y) = 0. Calculate y.
0, 9
Suppose 0 = -5*t + 9 + 1. Find j such that 2/5*j**3 + 2/5*j**4 + 0 - 2/5*j**t - 2/5*j = 0.
-1, 0, 1
Let z(p) be the third derivative of -p**6/840 + p**5/140 - p**4/56 + p**3/42 + 14*p**2. Factor z(y).
-(y - 1)**3/7
Let d be (-14)/21 + (-20)/6. Let k(p) = -56*p**3 + 101*p**2 + 17*p + 1. Let m(h) = 28*h**3 - 51*h**2 - 8*h. Let i(b) = d*k(b) - 9*m(b). Factor i(o).
-(o - 2)*(4*o - 1)*(7*o + 2)
Let x(n) = 3*n**4 - 2*n**3 - 4*n**2 + 2*n + 3. Let w(c) = c + 6. Let h be w(-8). Let j(o) = o**3 - o**2 - o. Let p(k) = h*j(k) - x(k). Factor p(m).
-3*(m - 1)**2*(m + 1)**2
Let w(z) be the second derivative of z**4/6 - 5*z**3/3 + 4*z**2 - 36*z. Suppose w(u) = 0. Calculate u.
1, 4
Let d be -3 + (275/(-18))/(-5). Let i(g) be the third derivative of -1/60*g**5 + 1/18*g**4 + 0*g + 3*g**2 - d*g**3 + 0. Determine h, given that i(h) = 0.
1/3, 1
Let y(h) be the second derivative of h**7/56 - h**6/40 - 3*h**5/80 + h**4/16 - 7*h. Factor y(p).
3*p**2*(p - 1)**2*(p + 1)/4
Let -2*b**4 + 5*b - 4*b + 3*b + 6*b**2 + 0*b**4 = 0. What is b?
-1, 0, 2
Suppose 61 = 2*m + n, -76 = -m - m + 2*n. Let y be 2*(m/(-12) + 3). Factor 1 + 1/2*r**4 - 3/2*r**2 - 1/2*r**3 + y*r.
(r - 2)*(r - 1)*(r + 1)**2/2
Suppose -5*b = -0*b - 10. Let 2 - a**2 - 2*a**2 - 3*a + 3*a**3 + 3 - b = 0. Calculate a.
-1, 1
Let i(u) be the third derivative of -u**6/200 - u**5/20 - u**4/5 - 2*u**3/5 + 11*u**2. Factor i(s).
-3*(s + 1)*(s + 2)**2/5
Let j = -2 - -3. Let f(m) be the first derivative of 1/2*m**2 + 0*m + 0*m**4 - 1/6*m**6 + 2/5*m**5 - 2/3*m**3 + j. What is o in f(o) = 0?
-1, 0, 1
Let t be (4/3 + -1)*33. Let x(w) = -6*w**2 - 6*w. Let v be 2 + (4 - (12 - 4)). Let p(z) = -z**2 - z. Let m(l) = t*p(l) + v*x(l). Determine a so that m(a) = 0.
-1, 0
Let i(u) be the first derivative of 2*u**5/85 + 3*u**4/17 + 8*u**3/17 + 10*u**2/17 + 6*u/17 + 2. Factor i(z).
2*(z + 1)**3*(z + 3)/17
Let t(m) be the second derivative of m**6/15 - m**5/2 + 7*m**4/6 - m**3 + 43*m. Find v, given that t(v) = 0.
0, 1, 3
Let c(m) be the third derivative of -m**7/90 + 37*m**6/360 - 59*m**5/180 + 35*m**4/72 - m**3/3 + 3*m**2 - 3. Determine y, given that c(y) = 0.
2/7, 1, 3
Suppose 7*n - 2*n = 15. Suppose -h - 6 = -n*h. Determine g, given that 16/7 - 24/7*g + 42*g**h - 14*g**4 - 188/7*g**2 = 0.
-2/7, 2/7, 1, 2
Let m(h) be the second derivative of h**7/420 - h**6/180 + h**4/4 - h. Let j(f) be the third derivative of m(f). Factor j(y).
2*y*(3*y - 2)
Let b be 11/(-4) - (-18)/6. Factor 0 + 1/4*p**4 - 3/4*p**3 + 3/4*p**2 - b*p.
p*(p - 1)**3/4
Let h(m) = -9*m**2 - m - 6. Let g(u) = 26*u**2 + 3*u + 17. Let f(q) = 6*g(q) + 17*h(q). Let x be f(-1). Factor x + 2*a**2 + 0*a**2 + 5*a - a.
2*(a + 1)**2
Let p(q) be the first derivative of 25*q**2 - 23*q**2 + 1 - q**4 - 3. Let p(v) = 0. Calculate v.
-1, 0, 1
Let f(o) be the first derivative of -4/7*o - 2/3*o**3 - 2 - 9/7*o**2. What is x in f(x) = 0?
-1, -2/7
Let i(j) be the second derivative of 0 - 1/48*j**4 + 1/24*j**3 + 2*j + 0*j**2. Factor i(d).
-d*(d - 1)/4
Let u be -6 - 4/(-8)*16. Solve -1/4*f**3 + 1/2*f**u + 0*f + 0 = 