 + 1/735*t**7 + 0*t**3. Find l, given that u(l) = 0.
-1, 0, 1, 2
Suppose 3*s = 12*s. Let o(w) be the first derivative of -3 + 1/5*w**2 - 1/10*w**4 + s*w + 0*w**3. Factor o(a).
-2*a*(a - 1)*(a + 1)/5
Let d be 1/((-2 - 0)/(-14)). Let z be 2/d - (-36)/21. Factor -2*a + 0*a + 0*a**2 + a**z.
a*(a - 2)
Let q(w) be the second derivative of 0 - 1/36*w**4 - 2/3*w**2 - 2/9*w**3 + 3*w. Factor q(x).
-(x + 2)**2/3
Factor u**3 + 6*u**3 - 8*u + 4*u - 5*u**3 + 2*u**2.
2*u*(u - 1)*(u + 2)
Let b = -2 + 5. Find t such that t**b - t**3 + 2*t - 4*t**2 + 0*t**3 + 2*t**3 = 0.
0, 1
Let d = -3 + 7. Solve -20*p**3 - 36*p**2 - 28*p + p**4 - 8 - 3*p**4 - 2*p**d = 0.
-2, -1
Let l(m) be the second derivative of m**7/15120 + m**6/4320 + 5*m**4/12 + 4*m. Let t(x) be the third derivative of l(x). Suppose t(o) = 0. What is o?
-1, 0
Let i(g) be the first derivative of -g**6/54 - g**5/45 + g**4/18 + 2*g**3/27 - g**2/18 - g/9 + 10. Factor i(x).
-(x - 1)**2*(x + 1)**3/9
Let f = 1187/4179 - -1/597. Let d = -110 + 778/7. Factor -10/7*l**2 - f*l**3 - d - 16/7*l.
-2*(l + 1)*(l + 2)**2/7
Let u(x) = x - 1. Let p(d) = -8*d**3 - 4*d**2 - 2*d + 14. Let n(o) = -p(o) - 10*u(o). Find i such that n(i) = 0.
-1, -1/2, 1
Suppose -19*x + 106 = 68. Find z, given that 8/3*z**3 + 0 + 0*z - 4/3*z**x - 4/3*z**4 = 0.
0, 1
Let m(d) = 5*d - 27. Let l be m(6). Factor 1/3*t - t**4 + 7/3*t**l + 0 - 5/3*t**2.
-t*(t - 1)**2*(3*t - 1)/3
Let c(z) be the first derivative of -2*z**6/27 + 4*z**5/45 + z**4/9 - 4*z**3/27 - 38. Factor c(g).
-4*g**2*(g - 1)**2*(g + 1)/9
Let d(v) be the third derivative of v**5/105 + 2*v**4/21 + 2*v**3/7 - 2*v**2. Determine k, given that d(k) = 0.
-3, -1
Let u = 8 + -5. Suppose 0 = 4*v + 4*q - 8 - 12, -u*v - 5*q = -17. Solve t**2 - t**3 + 1 + t - 2*t**2 - v*t**2 + 4*t**2 = 0 for t.
-1, 1
Let p(w) be the third derivative of -1/48*w**4 - 1/120*w**5 + 1/6*w**3 - w**2 + 0 + 0*w. Factor p(l).
-(l - 1)*(l + 2)/2
Let h(p) be the first derivative of 1 - p**2 + 1/2*p**4 - 2*p + 2/3*p**3. Factor h(i).
2*(i - 1)*(i + 1)**2
Let p(k) be the first derivative of k**6/210 - 2*k**5/105 + 7*k**2/2 + 4. Let r(f) be the second derivative of p(f). Let r(b) = 0. What is b?
0, 2
Let a be 2/7 + 1 + 24/(-21). Suppose 0*c**2 + 0*c**4 + 0 + 0*c - a*c**5 + 1/7*c**3 = 0. What is c?
-1, 0, 1
Factor 8 - 8*v**2 + 4 - 20*v**3 - 2*v + 18*v**3.
-2*(v - 1)*(v + 2)*(v + 3)
Let i(g) be the second derivative of g**7/42 + g**6/6 + g**5/2 + 5*g**4/6 + 5*g**3/6 + g**2/2 + 7*g. Factor i(o).
(o + 1)**5
Let t(s) be the first derivative of s**6/15 + s**5/10 + 3*s - 4. Let b(d) be the first derivative of t(d). Factor b(n).
2*n**3*(n + 1)
Let b(a) be the third derivative of 0*a**4 + 1/350*a**7 + 4*a**2 + 1/75*a**5 + 0*a**3 - 1/336*a**8 + 1/50*a**6 + 0 + 0*a. Determine c so that b(c) = 0.
-1, -2/5, 0, 2
Let g(a) = -5*a**2 + 7*a. Let i(x) = 5*x**2 - 7*x - 1. Let p(w) = -3*g(w) - 2*i(w). Find j such that p(j) = 0.
2/5, 1
Solve l**2 - 1 - 1/2*l**3 + 1/2*l = 0 for l.
-1, 1, 2
Let z(l) = l**2 - 1. Let u(d) = -7*d**2 - 6*d. Let r(b) = u(b) + 6*z(b). Let w be r(-4). Determine t so that 3*t**3 + 3*t**w - 12*t**2 + 3*t + 3*t = 0.
0, 1, 2
Let v(o) be the second derivative of o**4/60 + o**3/15 - 20*o. Let v(l) = 0. What is l?
-2, 0
Suppose 0 = 2*g + 4*g + 18. Let m(t) = -t**2 - 4*t - 2. Let a be m(g). Solve -a + 1/2*f - 1/2*f**3 + f**2 = 0.
-1, 1, 2
Factor -9/4*j - 5/2 + 1/4*j**2.
(j - 10)*(j + 1)/4
Let h be 4 - 1/2*8. Find l such that h + 2/5*l - 4/5*l**2 + 2/5*l**3 = 0.
0, 1
Let q(v) be the first derivative of v**2 + 1 + 1/3*v**3 + 0*v. Suppose q(o) = 0. What is o?
-2, 0
Let b(l) be the third derivative of l**6/2160 - l**5/180 + l**4/36 - l**3/2 + 3*l**2. Let v(x) be the first derivative of b(x). Find g such that v(g) = 0.
2
Let t(c) = 1. Let a(z) = -z**2 - 6*z - 10. Let y(x) = -2*a(x) - 2*t(x). Suppose y(q) = 0. Calculate q.
-3
Factor -5*c - 4*c**2 + 4 + 5*c.
-4*(c - 1)*(c + 1)
Let h(a) be the first derivative of 2*a**5/35 - 4*a**3/21 + 2*a/7 + 9. Find r such that h(r) = 0.
-1, 1
Let z(h) be the first derivative of 2 - 3/5*h**2 + 1/5*h**4 + 4/5*h - 2/5*h**3. Factor z(u).
2*(u - 2)*(u + 1)*(2*u - 1)/5
Let l(n) be the second derivative of n**6/3 - 3*n**5/4 + 5*n**3/6 + 10*n. Suppose l(c) = 0. Calculate c.
-1/2, 0, 1
Let d(q) = 19 - 9 + q + 2*q**3 - q**2 - 12. Let u(b) = -b. Let z(f) = -2*f**3 + 4*f + 2. Let c(w) = 4*u(w) + z(w). Let a(t) = 3*c(t) + 2*d(t). Solve a(v) = 0.
-1, 1
Let x(b) be the second derivative of 7*b**5/110 + b**4/33 - 9*b. Suppose x(w) = 0. What is w?
-2/7, 0
Let y(p) = p**4 + p**2 - p. Let l(z) = -2*z**4 + 8*z**3 - 4*z**2 + 7*z. Let o(t) = 3*l(t) + 21*y(t). Factor o(j).
3*j**2*(j + 1)*(5*j + 3)
Let o = 43/4 - 10. Factor o*n**3 - 1/4*n**2 - 1/2*n + 0.
n*(n - 1)*(3*n + 2)/4
Let j(u) be the third derivative of u**5/15 + u**4/3 - 16*u**3/3 - u**2 - 6. Solve j(d) = 0.
-4, 2
Let v be 2/(-5)*15/(-6). Let j be (-2 - 12/(-9))*(-27)/12. Factor v - j*w + 1/2*w**2.
(w - 2)*(w - 1)/2
Let f = 1 - -2. Let t(y) be the first derivative of 1/3*y**f - 1/2*y**2 - 1 - 2*y. Factor t(i).
(i - 2)*(i + 1)
Let t(s) be the third derivative of -1/20*s**4 - 2*s**2 - 2/75*s**5 + 0 + 1/15*s**3 + 0*s. Determine j, given that t(j) = 0.
-1, 1/4
Suppose -c - 80*o + 75*o = 13, 2*c = 4*o + 16. Let a = 5/13 + 3/26. Solve 0 - 1/4*y**c - a*y = 0 for y.
-2, 0
Let d(f) be the second derivative of 8/27*f**3 + 4/9*f**2 - 5*f + 1/90*f**5 + 0 + 5/54*f**4. Find k such that d(k) = 0.
-2, -1
Let u = 10 + -6. Let z = 0 + u. Factor -g + 5*g - 48*g**2 + 42*g**3 + 98*g**4 + z*g.
2*g*(g + 1)*(7*g - 2)**2
Suppose 0 = -5*b + 18 + 7. Factor -2*t**2 - b + 5 + 2*t.
-2*t*(t - 1)
Let k(a) be the first derivative of 5*a**6/2 - 69*a**5/5 + 15*a**4/4 + 51*a**3 + 27*a**2 + 7. Solve k(p) = 0 for p.
-1, -2/5, 0, 3
Let i(u) be the second derivative of 1/10*u**5 + 4*u + 2*u**2 + 0*u**4 - u**3 + 0. Factor i(m).
2*(m - 1)**2*(m + 2)
Let u(o) be the third derivative of o**6/660 - o**4/132 - 3*o**2. Determine m, given that u(m) = 0.
-1, 0, 1
Let r(j) = j**2 + 19*j + 3. Let m(l) = 5*l - 4. Let w be m(-3). Let c be r(w). Factor -22/5*a**c - 6/5*a**4 - 6*a**2 - 4/5 - 18/5*a.
-2*(a + 1)**3*(3*a + 2)/5
Let o be (-2)/2 - 3*(-21)/45. Factor 0 - 2/5*s - o*s**2.
-2*s*(s + 1)/5
Let s(x) = x + 12. Let n be s(-12). Let p(c) be the third derivative of 1/9*c**3 + 1/90*c**5 + 0 + n*c - 1/18*c**4 + 2*c**2. Solve p(i) = 0.
1
Let v = -59/7 - -899/105. Let i = 14/15 - v. Factor -2/5 - i*d**3 + 0*d + 6/5*d**2.
-2*(d - 1)**2*(2*d + 1)/5
Let s be 22/4 - (-105)/(-42). Let 0*d - 1/4*d**4 + 0*d**2 + 0 + 0*d**s = 0. What is d?
0
Let f(r) be the third derivative of 0*r**5 + 4*r**2 + 0 + 0*r + 0*r**4 + 1/50*r**7 + 1/112*r**8 + 1/100*r**6 + 0*r**3. Factor f(h).
3*h**3*(h + 1)*(5*h + 2)/5
Let z(j) = j**4 + j**3 - 2*j**2. Let y(m) = 3*m**4 + 2*m**3 - 5*m**2. Let h(q) = 3*y(q) - 8*z(q). Factor h(o).
o**2*(o - 1)**2
Let x(g) = g**3 - 3*g**2 - 4*g + 4. Let c be x(4). Let q(j) be the third derivative of -1/60*j**6 + 1/15*j**5 + 0 + 0*j + 4*j**2 + 0*j**3 + 0*j**c. Factor q(u).
-2*u**2*(u - 2)
Let t be (2 - 3) + (-9)/(-6). Suppose 0 = 5*z - 15. Factor 0 - o**4 - 1/2*o**5 + 0*o**z + o**2 + t*o.
-o*(o - 1)*(o + 1)**3/2
Suppose 2*d + 2*d + 3*x = 58, 5*d + x = 67. Suppose -v + 2 = v. Factor -d*h + 3*h + v - 8*h**2 - 3.
-2*(h + 1)*(4*h + 1)
Suppose -5*d - 8 + 33 = 0. Suppose -d*v = -v. Factor -1/3*h**4 - 1/3*h**5 + 0*h + 0*h**3 + 0 + v*h**2.
-h**4*(h + 1)/3
Let h = 3 + 0. Let -3/4 - q**h + q + 1/4*q**4 + 1/2*q**2 = 0. Calculate q.
-1, 1, 3
Let r(x) be the second derivative of 0*x**2 + 0*x**4 + 1/20*x**6 + 0 + 0*x**3 - 3/40*x**5 - 3*x. What is q in r(q) = 0?
0, 1
Let c(r) be the first derivative of -2*r**6/27 - 8*r**5/15 - 11*r**4/9 - 8*r**3/27 + 8*r**2/3 + 32*r/9 + 23. Solve c(w) = 0 for w.
-2, -1, 1
What is f in -16/3*f + 20/3 - 4/3*f**2 = 0?
-5, 1
Let n be (0 - 2)/((-12)/(-846)). Let k = n + 989/7. Factor 2/7*o**2 - k*o**3 - 2/7 + 2/7*o.
-2*(o - 1)**2*(o + 1)/7
Let z(r) be the second derivative of r**4/66 - 5*r**3/33 - 6*r**2/11 + 7*r. Factor z(q).
2*(q - 6)*(q + 1)/11
Let k(n) be the third derivative of n**7/60 + 19*n**6/240 + n**5/15 - n**4/12 + 13*n**2. What is h in k(h) = 0?
-2, -1, 0, 2/7
Let q be 128/18 + (7 - 13). Let -2/9*v**3 + 4/9 - q*v + 8/9*v**2 = 0. What is v?
1, 2
Let k = -10 - -10. Let w(y) be the second derivative 