 be l(-6). Let s be (-3)/(f + -1 + 0). Factor s*n**2 + 0*n**3 + 3*n + n**3 + 1 + 0*n**2.
(n + 1)**3
Let z(w) = -w**3 - 5*w**2 + w - 6. Let i be z(-5). Let o = i + 15. Let 0 - 4/5*x**3 + 2/5*x + 2/5*x**5 + 0*x**2 + 0*x**o = 0. What is x?
-1, 0, 1
Let x(q) = q**3 + 7*q**2 - 7*q + 11. Let r be x(-8). Let u(g) = g**2 - 2*g - 3. Let y be u(r). Let -2/7*f**2 + 2/7*f**4 + y - 2/7*f**3 + 2/7*f = 0. Calculate f.
-1, 0, 1
Let b be 2/(-8) - 27/(-12). Determine t so that -4*t**b - 9*t**3 + t**2 - 4*t**2 + t**2 + 15*t**4 = 0.
-2/5, 0, 1
Let t = 2 + -1. Suppose -3*y = 2*h + t - 7, 3*y - h = 6. Factor j - j**y + j**3 - j.
j**2*(j - 1)
Suppose -2*x - x = -18. Suppose -x + 0 = -3*f. Suppose 0 - 4*i**2 + 2 + 2*i - 2*i**3 + 2*i**f = 0. Calculate i.
-1, 1
Factor 98/11*a + 28/11*a**2 + 0 + 2/11*a**3.
2*a*(a + 7)**2/11
Let d(r) be the second derivative of -r**6/30 + 3*r**5/10 - 13*r**4/12 + 2*r**3 - 2*r**2 - 9*r. Factor d(f).
-(f - 2)**2*(f - 1)**2
Suppose -84*k = -7*k. Find z, given that -4/3*z + 2/3*z**2 - 2/3*z**5 + k + 2*z**3 - 2/3*z**4 = 0.
-2, -1, 0, 1
Suppose 11*u = 4*u + 21. Let x(m) be the second derivative of 4*m + 0 + 4/75*m**6 + 1/25*m**5 - 1/35*m**7 + 1/15*m**u + 0*m**2 - 2/15*m**4. Solve x(v) = 0.
-1, 0, 1/3, 1
Let -1/4*y**3 - 1/2*y - 3/4*y**2 + 0 = 0. Calculate y.
-2, -1, 0
Factor 0*r**2 + 1/4*r**3 - 1/4*r**5 + 0*r + 0 + 0*r**4.
-r**3*(r - 1)*(r + 1)/4
Factor -321 - 2*k - 25*k**3 - 35*k**2 - 8*k + 321.
-5*k*(k + 1)*(5*k + 2)
Factor 0 - 2/5*f**4 + 2/5*f**2 + 6/5*f - 6/5*f**3.
-2*f*(f - 1)*(f + 1)*(f + 3)/5
Determine t, given that 0*t + 6 + 3*t**3 - 3*t - 11*t**2 + 5*t**2 = 0.
-1, 1, 2
Suppose 4*a + 3*a = -6*a. Factor -3/4*k - 3/4*k**3 - 3/2*k**2 + a.
-3*k*(k + 1)**2/4
Let h(y) be the third derivative of -y**6/150 + y**5/25 - y**4/10 + 2*y**3/15 - 50*y**2. Factor h(q).
-4*(q - 1)**3/5
Let n(q) be the third derivative of -q**5/270 + q**4/9 - 4*q**3/3 + 14*q**2. Find b, given that n(b) = 0.
6
Let i(j) be the third derivative of -j**6/540 + j**4/36 - j**3/6 + 2*j**2. Let o(s) be the first derivative of i(s). Find g, given that o(g) = 0.
-1, 1
Suppose 0 + 0*z - 2/11*z**3 + 2/11*z**2 = 0. What is z?
0, 1
Let q(d) be the first derivative of -d**2 - 1 - 2/3*d - 2/3*d**3 - 1/6*d**4. What is s in q(s) = 0?
-1
Let o be 5/(-20) - (-177)/(-12). Let x be 12/(-30) - 11/o. Factor 0 - x*j**4 + 1/3*j**3 + 1/3*j**2 + 0*j - 1/3*j**5.
-j**2*(j - 1)*(j + 1)**2/3
Let q(g) = -g**3 - 4*g**2 + 11. Let i be q(-3). Factor 8/11*o + 6/11*o**i + 2/11.
2*(o + 1)*(3*o + 1)/11
Let j(b) be the third derivative of 1/3*b**3 + 6*b**2 - 1/8*b**4 + 1/60*b**5 + 0 + 0*b. What is y in j(y) = 0?
1, 2
Solve -3/2*h + 1 - 5/2*h**2 = 0 for h.
-1, 2/5
Let y(v) = v**2. Let p(f) = 2*f**5 - 2*f**4 - 8*f**3 - 2*f**2. Let d(i) = p(i) + 10*y(i). Factor d(s).
2*s**2*(s - 2)*(s - 1)*(s + 2)
Let b(h) = 3*h**5 - 5*h**4 - 3*h**3 + 5*h**2 - 4*h - 4. Let u(o) = 4*o**5 - 6*o**4 - 4*o**3 + 6*o**2 - 5*o - 5. Let l(a) = -5*b(a) + 4*u(a). Factor l(y).
y**2*(y - 1)*(y + 1)**2
Suppose 3*u + 4*p = -1, p - 3*p = -u + 13. Factor 0*w**5 - 5*w**2 - 13*w**4 - 2*w**2 + w + 15*w**3 + 0*w**2 + 4*w**u.
w*(w - 1)**3*(4*w - 1)
Let k(s) = -s**3 - 5*s**2 - 6*s. Let t be k(-4). Suppose -3*w + 9 - 3 = 4*n, -5*n + t = 4*w. Suppose i + 0*i**3 + i**3 - w*i = 0. Calculate i.
-1, 0, 1
Let b(i) be the third derivative of -i**11/1663200 + i**9/302400 + i**5/20 + i**2. Let g(x) be the third derivative of b(x). Factor g(c).
-c**3*(c - 1)*(c + 1)/5
Let r = 10 + -5. Solve 2*d**2 - r*d**2 + 4*d**2 - 3*d + d = 0 for d.
0, 2
Let r(i) = i**4 + i**3 - i**2 + 1. Let u(s) = -s**5 - 4*s**4 - 3*s**3 + s**2 - 1. Let k(b) = r(b) + u(b). Suppose k(h) = 0. Calculate h.
-2, -1, 0
Let c(s) be the second derivative of 0 + 1/12*s**4 - 2*s + 1/20*s**5 - 1/6*s**3 - 1/2*s**2. Solve c(b) = 0.
-1, 1
Suppose -2*y + 4*x + 1 = -7*y, -8 = 2*x. Let k(i) = 6*i**2 + 20*i + 6. Let t(g) = -3*g**2 - 10*g - 3. Let f(d) = y*k(d) + 5*t(d). Factor f(m).
(m + 3)*(3*m + 1)
Let s(k) be the second derivative of k**7/14 + k**6/10 - 9*k**5/10 - 7*k**4/2 - 11*k**3/2 - 9*k**2/2 - 11*k. Factor s(g).
3*(g - 3)*(g + 1)**4
Let y(k) = 16*k**3 + 15*k**2 + 21*k. Let o(r) = 3*r**3 + 3*r**2 + 4*r. Let n(m) = -22*o(m) + 4*y(m). Find t such that n(t) = 0.
-2, -1, 0
Let w = 8 - 6. Factor -2*y**3 - 6*y - w - 6*y**2 - y**3 + y**3.
-2*(y + 1)**3
Factor -2 - 1 - b**2 + 2 - 3 - 4*b.
-(b + 2)**2
Suppose -4*v - 3*y = -6, 4*v - 6*v + 3*y - 6 = 0. Factor -2/11*t - 2/11*t**2 + v.
-2*t*(t + 1)/11
Let c(m) be the second derivative of m**8/280 + m**7/525 - m**6/150 + m**2 - 3*m. Let d(f) be the first derivative of c(f). What is j in d(j) = 0?
-1, 0, 2/3
Suppose -1/2 - 1/4*s**4 + 1/4*s - 1/4*s**3 + 3/4*s**2 = 0. What is s?
-2, -1, 1
Let 3*a**2 - 9/7*a**3 + 0 - 3*a**4 - 6/7*a + 15/7*a**5 = 0. What is a?
-1, 0, 2/5, 1
Let j(k) = -8*k**3 - 6*k**2 + 4. Let b(y) = 15*y**3 + 12*y**2 + y - 7. Let s = 8 + 3. Let m(f) = s*j(f) + 6*b(f). Suppose m(r) = 0. What is r?
-1
Let k(j) = 36*j**2 - 6*j + 14. Let u(x) = -5*x**2 + x - 2. Let w(p) = -6*k(p) - 44*u(p). Factor w(s).
4*(s - 1)**2
Let q(a) be the third derivative of 0*a + 1/36*a**4 + 1/90*a**5 + 0*a**3 + 0 - 3*a**2. Factor q(m).
2*m*(m + 1)/3
Solve 2/19*q**2 + 10/19*q + 6/19 - 2/19*q**3 = 0 for q.
-1, 3
Suppose 3*b + 23 = 5*s, -s + 4*b = s - 12. Let z be (-7)/s - (-14 + 11). Factor 1/2 - 5/2*r**2 - 1/4*r + 2*r**4 - r**3 + z*r**5.
(r - 1)*(r + 1)**3*(5*r - 2)/4
Let l(w) be the first derivative of -5*w**3/3 + 29. Factor l(t).
-5*t**2
Let d be (2/(-4))/((-2)/(-20)). Let f(u) = -2*u**2 + 61*u - 81. Let p(h) = -h**2 + 41*h - 54. Let z(a) = d*f(a) + 7*p(a). Factor z(c).
3*(c - 3)**2
Let w be (-27)/(-9) - (-5)/(-3). Let m(h) be the third derivative of 1/6*h**5 + 0 + w*h**3 + 3*h**2 + 0*h + 2/3*h**4 + 1/60*h**6. Factor m(x).
2*(x + 1)*(x + 2)**2
Let i(v) be the first derivative of v**9/3024 - v**7/840 - 2*v**3 - 5. Let f(c) be the third derivative of i(c). Factor f(y).
y**3*(y - 1)*(y + 1)
Let g(y) be the first derivative of y**5/240 - y**4/48 + y**3/24 - 3*y**2/2 + 1. Let j(f) be the second derivative of g(f). Find w such that j(w) = 0.
1
Let n(x) be the first derivative of 0*x + 0*x**2 + 1/25*x**5 + 1/20*x**4 - 1/30*x**6 - 1/15*x**3 - 4. Factor n(l).
-l**2*(l - 1)**2*(l + 1)/5
Let d be (-26)/(-7) - (-2)/7. Let r be 3 - ((-11)/d)/(-1). Determine b so that 1/4*b**2 + r*b - 1/2 = 0.
-2, 1
Let m = 202040872/405 + -498866. Let g = m + 4/81. Determine q so that -4/5 - g*q + 6/5*q**2 = 0.
-2/3, 1
Determine k, given that 0 + 16/7*k - 32/7*k**2 + 20/7*k**3 - 4/7*k**4 = 0.
0, 1, 2
Let g(b) be the first derivative of -3*b**4/10 - 14*b**3/15 - 2*b**2/5 + 5. Factor g(o).
-2*o*(o + 2)*(3*o + 1)/5
Solve -24*u + 21/2*u**2 + 6 = 0.
2/7, 2
Let y(l) be the third derivative of l**6/30 + l**5/40 - 2*l**3/3 - l**2. Let n(f) be the first derivative of y(f). Let n(o) = 0. Calculate o.
-1/4, 0
Let p(y) = 2*y**3 - y**2 - 2*y + 1. Let l(j) = -j**3 + j**2 + j - 1. Let u(a) = -5*l(a) - 3*p(a). What is b in u(b) = 0?
-2, -1, 1
Let v be (24/(-64)*-4)/6. Determine d so that 1/2*d + 0 - v*d**2 = 0.
0, 2
Let p be 3/(-9)*(-5)/(-15). Let d = p - -13/36. What is b in -1/4*b**3 + 0 + 0*b + d*b**2 = 0?
0, 1
Suppose -6 = -5*x + 4*g - 3, 15 = 4*x + g. Let -2*j**4 + 6*j + 3*j**2 - 5*j**3 - j**4 + 2*j**3 - x*j = 0. Calculate j.
-1, 0, 1
Let s(b) = b + 1. Let n(t) = -6*t - 11. Let c(w) = n(w) + 5*s(w). Let i be c(-8). Suppose 4/3 + 2*k + 2/3*k**i = 0. Calculate k.
-2, -1
Let k be -1*2*9/(-6). Factor 4*b**2 - 101*b + 4 - k*b**2 + 97*b.
(b - 2)**2
Factor -18/7 - 15/7*l + 3/7*l**2.
3*(l - 6)*(l + 1)/7
Suppose 240*a**2 - 100*a**3 + 98 + 15*a**4 - 95*a - 18 - 151*a + 6*a = 0. Calculate a.
2/3, 2
Suppose -5*z + 6 = -4*m, -9 = -3*z + 4*m - 7*m. Let i(j) be the second derivative of 0 + 2/3*j**4 - 1/6*j**3 - j**z - 1/4*j**5 + 2*j. Factor i(l).
-(l - 1)**2*(5*l + 2)
Let o(l) be the third derivative of l**9/60480 - l**8/10080 + l**7/5040 + l**5/30 + 2*l**2. Let f(w) be the third derivative of o(w). Factor f(r).
r*(r - 1)**2
Let 12/7*q**2 - 6/7 - 6/7*q**4 - 6/7*q**3 + 3/7*q + 3/7*q**5 = 0. What is q?
-1, 1, 2
Let n be -1 - -4 - (-1)/(-3). Let v(d) be the first derivative of -n*d**3 - 1 + 5*d**2 + 4/5*d**5 - 5*d**4 + 4*d + 5/3*d**6. Determine u so that v(u) = 0.
-1, -2/5, 1
Suppose 10*i + 5 = 11*i. Let v(q) be the first derivativ