3*t - 2/9*t**3 + 0 = 0?
-1, 0, 3
Determine p so that 141/5*p**3 + 69/5*p**2 + 3/5*p**5 - 108/5 + 39/5*p**4 - 144/5*p = 0.
-6, -1, 1
Determine o so that -18/7*o**3 + 10/7*o**4 - 2/7*o**5 + 0 - 4/7*o + 2*o**2 = 0.
0, 1, 2
Let n(g) be the second derivative of 0*g**2 + 3/20*g**5 + 0*g**3 + 1/2*g**4 - 8*g + 0. Solve n(b) = 0.
-2, 0
Let p(s) be the third derivative of -s**6/240 + s**5/12 + s**4/48 - 5*s**3/6 - 20*s**2. Find n such that p(n) = 0.
-1, 1, 10
Suppose 0*b + 3 = b. Let k be b/9 - (-5)/45. Find v such that 8/9*v**3 - 22/9*v - k + 14/9*v**5 + 32/9*v**4 - 28/9*v**2 = 0.
-1, -2/7, 1
Let u(y) be the third derivative of -y**6/120 - y**5/12 + y**4/4 - 16*y**2. Factor u(z).
-z*(z - 1)*(z + 6)
Let v(n) = n**4 + n**3 + 3*n**2 - 5*n + 2. Let a(o) be the third derivative of o**7/210 + 4*o**2. Let m(d) = -2*a(d) + v(d). Factor m(s).
-(s - 1)**3*(s + 2)
Let d be 1 + -9*(-4)/(-42). Factor -1/7*c**2 + 2/7 - d*c.
-(c - 1)*(c + 2)/7
Let q(i) be the third derivative of -i**9/60480 + i**5/20 + i**2. Let h(z) be the third derivative of q(z). Solve h(t) = 0.
0
Let r = 2 + 6. Factor r + 1 + 2*k**2 - 5*k**2 - 6*k.
-3*(k - 1)*(k + 3)
Let n(h) be the first derivative of 0*h - 2/9*h**3 + 1/3*h**2 - 3. Determine a so that n(a) = 0.
0, 1
Let z(u) be the second derivative of 0*u**4 - 1/10*u**5 - u + 0 + 1/3*u**3 + 0*u**2. Determine s, given that z(s) = 0.
-1, 0, 1
Let f(j) = j**4 - 4*j**3 + 6*j**2 + 12*j - 11. Let g(r) = -r**4 + 5*r**3 - 6*r**2 - 11*r + 10. Let s(x) = 3*f(x) + 4*g(x). Factor s(m).
-(m - 7)*(m - 1)**2*(m + 1)
Let g(l) = -l**3 + 9*l**2 + l + 3. Let i be g(9). Factor i - 12 + 2*a**2.
2*a**2
Let q(u) = -2*u**3 - u**2 - u - 1. Let x be q(-2). Factor -x*c - 14*c**3 - 32*c**2 - 2*c + 7*c.
-2*c*(c + 2)*(7*c + 2)
Let p(s) be the third derivative of -s**10/352800 + s**9/70560 - s**8/47040 - s**5/60 + 6*s**2. Let a(m) be the third derivative of p(m). Factor a(y).
-3*y**2*(y - 1)**2/7
Let u be 3 - 0/(0 - 2). Let h(b) be the first derivative of 2 - 2/3*b**u - b**2 + 0*b + 1/2*b**4 + 2/5*b**5. Let h(w) = 0. What is w?
-1, 0, 1
Let a = -4 - 4. Let m be 6/a*(-40)/15. Find u, given that 0 + 2/3*u**m + 0*u = 0.
0
Let w be (-10)/(-3) + (-1)/3. Factor 13*b**3 - b**4 + 2*b + 2 - 12*b**3 - 3*b - 4*b + w*b**2.
-(b - 1)**3*(b + 2)
Suppose -2*h = -2*f - 0*h + 8, -3*f + h + 4 = 0. Factor 10/3*j**2 - 16/3*j**3 - 2/3*j + f + 8/3*j**4.
2*j*(j - 1)*(2*j - 1)**2/3
Let p(l) be the second derivative of -18/5*l**5 - 16/3*l**3 + 6*l + 28/3*l**4 + 0 + 0*l**2 + 18/7*l**7 - 18/5*l**6. Factor p(c).
4*c*(c + 1)*(3*c - 2)**3
Let c(x) = 3*x - 13. Let p(t) = -9*t + 38. Let v(a) = -8*c(a) - 3*p(a). Let d be v(4). What is r in -1/4*r**d + 1/2*r - 1/4 = 0?
1
Let a = 2 - 3. Let s be (-1 - (-1 - a))*-4. Let 2*i**3 - 4*i + 2*i + 0*i**3 - s*i + 4 = 0. Calculate i.
-2, 1
Let t be 10/(-3)*3/(-2). Factor 2/3*o**t - 2/3 - 2/3*o**4 + 4/3*o**2 + 2/3*o - 4/3*o**3.
2*(o - 1)**3*(o + 1)**2/3
Let h be (-80)/(-96)*(-8)/(-10). Solve 4/3*s + h + 2/3*s**2 = 0 for s.
-1
Let r be 0*(-2 + 3)*(3 + -4). Suppose 1/7*f**3 + r*f**2 + 0 - 1/7*f = 0. What is f?
-1, 0, 1
Let z = 7 + -2. Suppose 29 = 2*l - 5*k, l + 4 + 4 = -2*k. Find r, given that z*r + l*r**2 + 2 + r + 2 = 0.
-2, -1
Factor 0 - 54/5*g**2 + 0*g + 6/5*g**3.
6*g**2*(g - 9)/5
Let t(u) = -16*u**2 + u - 10. Let s(c) = c**2 - c + 1. Let j(f) = 18*s(f) + 2*t(f). Factor j(o).
-2*(o + 1)*(7*o + 1)
Let d(t) be the third derivative of -t**6/120 - t**5/40 - t**3/6 - 2*t**2. Let x(k) be the first derivative of d(k). What is m in x(m) = 0?
-1, 0
Let g(k) be the second derivative of -k**7/28 + k**6/20 + 3*k**5/40 - k**4/8 + 6*k. Factor g(h).
-3*h**2*(h - 1)**2*(h + 1)/2
Factor 18 - 4*c**2 + 7*c**2 - 11*c - 2*c**2.
(c - 9)*(c - 2)
Let -4*j**2 + j + 3*j**2 + 2*j**2 - j**3 - 1 = 0. What is j?
-1, 1
Let l(w) be the first derivative of -w**6/2 - 9*w**5/5 - 9*w**4/4 - w**3 + 50. Let l(n) = 0. Calculate n.
-1, 0
Let p(v) = -v + 2. Let y(m) = 2*m - 4. Let d(r) = 7*p(r) + 4*y(r). Let u be d(4). Factor 3 - 6*f**2 - u*f**3 + 0*f**3 + 5.
-2*(f - 1)*(f + 2)**2
Suppose z + 37 = -5*g, 2*g - 2*z + 31 = 3*z. Let o(f) = -f**3 - 7*f**2 + 8*f + 2. Let w be o(g). Let 1/3*x**w - 4/3*x + 4/3 = 0. What is x?
2
Determine p so that -p**2 - 391*p + 2*p**2 + 383*p = 0.
0, 8
Let i(f) be the third derivative of -f**6/1440 - f**5/160 - f**4/48 - f**3/2 - 3*f**2. Let m(u) be the first derivative of i(u). Suppose m(l) = 0. What is l?
-2, -1
Let g(k) be the second derivative of -k**7/8820 + k**6/2520 - k**4/4 - 3*k. Let u(f) be the third derivative of g(f). Factor u(a).
-2*a*(a - 1)/7
Let b = 4 - 1. Let v(u) be the third derivative of 0*u**b + 1/480*u**6 - 1/120*u**5 + 0*u + u**2 + 1/96*u**4 + 0. Suppose v(h) = 0. What is h?
0, 1
Let u be 208/32 + (-6 - 0). Solve -1/4*q**3 + 0 - u*q**2 + 0*q = 0.
-2, 0
Suppose 4 - 12 = -4*y. Let c = 0 + 3. Solve 5*q**y - 2*q + 2*q**c - q**2 - 4*q**3 = 0.
0, 1
Let q = 492 + -490. Determine l, given that 3 + 1/3*l**q - 2*l = 0.
3
Suppose -5*m + 22 = -2*p, 0 = 5*m - p + 6*p - 15. Let s(l) = l**3 - 5*l**2 + 4*l + 3. Let j be s(m). Let 4*y**2 + 0*y**2 - j*y**2 - y**4 = 0. Calculate y.
-1, 0, 1
Let c(p) be the first derivative of 2*p**3/3 - 2*p - 21. Determine i so that c(i) = 0.
-1, 1
Let p(q) = q**2 + 1. Let g(a) = 5*a**2 - 6*a + 1. Let n(r) = -5*g(r) + 30*p(r). Factor n(f).
5*(f + 1)*(f + 5)
Suppose -11 - 27 = -19*b. Let h(r) be the third derivative of 4*r**b + 1/3*r**3 + 0*r + 1/105*r**7 - 1/15*r**6 - 1/3*r**4 + 1/5*r**5 + 0. Factor h(f).
2*(f - 1)**4
Suppose 4*z**3 + 3*z - 12*z**2 + 5*z - z + z = 0. What is z?
0, 1, 2
Let p(v) be the second derivative of v**4/96 + v**3/8 + 9*v**2/16 - 2*v. Factor p(i).
(i + 3)**2/8
Factor -1/8 - 1/4*j**3 + 1/4*j + 0*j**2 + 1/8*j**4.
(j - 1)**3*(j + 1)/8
Let n(f) = -f**2 - 13*f + 35. Let y(o) = -4*o**2 - 66*o + 174. Let i(w) = w**2 - w - 3. Let q be i(0). Let u(t) = q*y(t) + 14*n(t). Factor u(p).
-2*(p - 4)**2
Let o(p) be the second derivative of -2/21*p**4 + 0 - 4*p + 3/7*p**3 - 2/7*p**2. Factor o(q).
-2*(q - 2)*(4*q - 1)/7
Let k(p) = 3*p**3 - 3*p**2 + 2*p - 2. Let b(i) = -3*i + 0*i - 5*i**3 + 5*i**2 + 3 + 0. Let y(m) = -5*b(m) - 8*k(m). Factor y(n).
(n - 1)**2*(n + 1)
Factor 8/3*i + 8/3*i**2 + 2/3*i**3 + 0.
2*i*(i + 2)**2/3
Let k(t) = 8*t**2 + 3*t + 2. Let y be k(-1). Factor -y*v**2 + 0*v**3 + 4*v**3 - v**2 + 4*v + 0*v**3.
4*v*(v - 1)**2
Let n(d) = -6*d**2 + 10*d + 16. Let r(s) = s**2 + s. Let v(f) = -n(f) - 8*r(f). Solve v(c) = 0.
-8, -1
Let q(s) be the second derivative of s**6/75 + s**5/25 - s**4/30 - 2*s**3/15 - 15*s. Factor q(x).
2*x*(x - 1)*(x + 1)*(x + 2)/5
Let a(m) be the first derivative of -m**3/15 - m**2 - 5*m - 18. Factor a(x).
-(x + 5)**2/5
Let z(v) = -v**2 - 3*v. Let h be z(-1). Factor 0 + 1/4*t**h - 1/2*t.
t*(t - 2)/4
Let r(j) be the third derivative of -j**7/420 + j**5/40 - j**4/24 - j**2. Factor r(m).
-m*(m - 1)**2*(m + 2)/2
Let c(x) be the third derivative of 1/672*x**8 + 0 - 1/420*x**7 - 1/120*x**6 + 1/60*x**5 + 1/48*x**4 - 1/12*x**3 + 0*x - 7*x**2. Factor c(i).
(i - 1)**3*(i + 1)**2/2
Let q be (-1 - -7 - -3)/2. Let f be 0/(-4 - (1 - 3)). Factor 7/2*o**2 + q*o**3 - o + f.
o*(o + 1)*(9*o - 2)/2
Let s be (60/9)/(-5)*3. Let v = s + 7. Let -v*d - d**5 - d**5 - 4*d**2 - 1 + 3*d**4 + 3*d**5 + 2*d**3 + 2*d**2 = 0. Calculate d.
-1, 1
Suppose 2*h - 5*h = x + 18, 0 = 4*x + 5*h + 37. Let l be (7/(-14))/(x/2). Factor -l*k**4 + 2/3*k**3 + 0 - 1/3*k**2 + 0*k.
-k**2*(k - 1)**2/3
Let -2*r**2 + 0 + 3/5*r + 9/5*r**3 - 2/5*r**4 = 0. Calculate r.
0, 1/2, 1, 3
Let i(v) be the first derivative of 0*v**3 + 7 + 0*v + 3/4*v**4 - 3/2*v**2. Solve i(d) = 0.
-1, 0, 1
Let l(f) be the second derivative of -f**4/12 - f**3/6 + f**2 + 4*f. Let v be l(0). Factor v - 147/2*y**3 - 35/2*y**2 + 8*y.
-(3*y - 1)*(7*y + 2)**2/2
Let l = 1 - -2. Let h be (l/(-18))/((-2)/56). Suppose 2 - 2/3*y**3 + 10/3*y**2 - h*y = 0. What is y?
1, 3
Factor 2/13*z**2 + 2/13*z - 4/13.
2*(z - 1)*(z + 2)/13
Let w(n) be the third derivative of -n**8/1120 - n**7/70 - n**6/10 - 2*n**5/5 - n**4 - n**3/2 - 5*n**2. Let z(r) be the first derivative of w(r). Factor z(d).
-3*(d + 2)**4/2
Let x = 4/101 - -7361/303. Let i = -24 + x. Factor -2/3 + 0*t**2 + i*t**3 - t.
(t - 2)*(t + 1)**2/3
Let q(d) = d**2 + 7*d - 9. Let w be q(-8). Let f be (-52)/20 - w*3. Factor 0 + 0*h**2 + 0*h - f*h**3.
-2*