nd a, given that h(a) = 0.
-1, 1
Let h(j) be the first derivative of 245*j**3/3 - 35*j**2 + 5*j + 2. Factor h(p).
5*(7*p - 1)**2
Let b(g) = -4*g**2 + 9*g + 2 - g**2 - g**2. Let d = 1 - -2. Let n(l) = 7*l**2 - 10*l - 2. Let o(w) = d*b(w) + 2*n(w). Factor o(a).
-(a - 2)*(4*a + 1)
Let k(x) be the second derivative of x**6/6 - x**5/4 - 5*x**4/4 + 5*x**3/6 + 5*x**2 + 13*x. Determine m so that k(m) = 0.
-1, 1, 2
Suppose -155*p**2 + 159*p**2 + 24 - 32*p + 40 = 0. Calculate p.
4
Let g(h) be the third derivative of h**7/210 - h**6/20 + 3*h**5/20 - 4*h**2. What is l in g(l) = 0?
0, 3
Let i(t) be the first derivative of -3*t**5/40 - 9*t**4/8 - 23*t**3/4 - 45*t**2/4 - 75*t/8 - 9. Factor i(d).
-3*(d + 1)**2*(d + 5)**2/8
Let i(z) be the third derivative of -z**8/840 + z**7/210 - z**6/180 + z**3/3 + 3*z**2. Let f(p) be the first derivative of i(p). What is b in f(b) = 0?
0, 1
Let i = -2 + 6. Let q be i/(-6) - (-4)/3. Find d such that -1/3 - 1/3*d**2 - q*d = 0.
-1
Suppose 0 = g - 5 - 0. Suppose 3*o + 4 = l, g*l - 4*o + 3*o = 20. Factor 4*x**2 - l*x**2 - 3*x**4 + 2*x**5 + x**3.
x**3*(x - 1)*(2*x - 1)
Let q = 61 - 59. Solve 0 + 4/3*l**3 + 8/3*l**4 - 8/3*l**2 - q*l**5 + 2/3*l = 0.
-1, 0, 1/3, 1
Determine g, given that -3/2*g**4 - 3/4*g**5 + 3/4*g + 3/2*g**2 + 0*g**3 + 0 = 0.
-1, 0, 1
Suppose 1 = -2*h + 7. Factor -4*f**2 + f**2 + 4*f**3 - f**h + 3 - 3*f.
3*(f - 1)**2*(f + 1)
Let o be (-3 + 9/2)/(-4 + 10). Determine c so that 0*c**2 + 0 + 0*c + 0*c**3 + o*c**4 = 0.
0
Let x be (74/(-3))/((-2)/(-6)). Let h = 151/2 + x. Factor -1/2*m**4 + h*m**3 + 1/2*m - 3/2*m**2 + 0.
-m*(m - 1)**3/2
Let v = 6 + -10. Let m be (10/(-15))/(v/3). Factor m*s**4 + 0*s**2 + 0*s + 0 - 1/2*s**3.
s**3*(s - 1)/2
Let t(f) be the second derivative of 5*f**4/6 - 4*f**3/3 + 2*f**2 + 6*f. Let l(g) = -9*g**2 + 8*g - 4. Let o(r) = 6*l(r) + 5*t(r). Factor o(u).
-4*(u - 1)**2
Suppose 4*p + 3*b - 18 = -0*b, 0 = -4*b + 8. Let r(l) be the first derivative of -3/2*l**2 + 2*l - 1 + 1/3*l**p. Let r(q) = 0. What is q?
1, 2
Let j be (4 - (-34)/(-6)) + 8/4. Let b(n) be the first derivative of 1/2*n**4 + 4/5*n**5 + 0*n**2 + 2 + j*n**6 + 0*n + 0*n**3. Factor b(h).
2*h**3*(h + 1)**2
Let n(r) be the first derivative of -r**6/6 - r**5/5 + r**4/2 + 2*r**3/3 - r**2/2 - r - 12. What is k in n(k) = 0?
-1, 1
Factor 2/9 - 4/9*u**2 - 2/9*u.
-2*(u + 1)*(2*u - 1)/9
Let t(q) be the second derivative of -q**4/54 + 2*q**3/27 + q. Let t(x) = 0. Calculate x.
0, 2
Let n(v) be the first derivative of -2*v**3/57 - 2*v**2/19 + 6*v/19 - 9. Factor n(o).
-2*(o - 1)*(o + 3)/19
Let u be 6/12 - (-30)/(-4). Let v(i) = i + 7. Let a be v(u). Find g such that -2*g**2 + 2/3*g + a = 0.
0, 1/3
Find m such that -2/7*m**2 + 0 + 2/7*m = 0.
0, 1
Let p be (-1)/(-2) - (-3707)/(-22). Let y = p + 508/3. Factor 0*h**3 + 0*h - 2/3*h**4 - 2/3 + y*h**2.
-2*(h - 1)**2*(h + 1)**2/3
Let o(u) be the second derivative of -u**4/4 + u**3/2 + 6*u. Let s(h) = -16*h**2 + 16*h. Let p(f) = -22*o(f) + 4*s(f). Factor p(q).
2*q*(q - 1)
Let c(a) be the second derivative of 2*a**6/105 + 3*a**5/70 - a**3/21 + 12*a. Determine i so that c(i) = 0.
-1, 0, 1/2
Factor -4/3*h + 2/3 - 2/3*h**4 + 0*h**2 + 4/3*h**3.
-2*(h - 1)**3*(h + 1)/3
Let p(o) = o**2 - 5*o + 2. Let x be p(5). Factor r**2 + 0 + x + r - 1 + r.
(r + 1)**2
Find n, given that -49*n - 16 - 4 - 26*n - 70*n**2 = 0.
-4/7, -1/2
Suppose -49*p + 96 = -p. Factor 2/13*a**3 + 10/13*a**p + 8/13 + 16/13*a.
2*(a + 1)*(a + 2)**2/13
Suppose 2/3*s**3 + 4/3*s**2 + 2/3*s + 0 = 0. What is s?
-1, 0
Let r be (-2)/(9/(18/(-40))). Let z(h) be the first derivative of -3 + 0*h**3 + 0*h**2 + 0*h - 2/25*h**5 - r*h**4. Factor z(s).
-2*s**3*(s + 1)/5
Suppose 5*u + 5*s + 15 = 0, -s = 3*s + 20. Let v be 1/4 + u + -2. Factor -1/4*w - v*w**2 + 0.
-w*(w + 1)/4
Let o = 6100/3411 + -4/379. Suppose 2/9*r**2 - o*r + 32/9 = 0. What is r?
4
Let l be ((-2)/(-3)*3)/1. Let i(p) = -l*p + 2*p**2 + 0*p**2 + 1 - 3*p**2. Let o(k) = k**2. Let g(u) = -i(u) - 2*o(u). Factor g(s).
-(s - 1)**2
Let a(y) be the third derivative of 2*y**5/45 + 19*y**4/36 - 5*y**3/9 + 3*y**2 + 17*y. Factor a(u).
2*(u + 5)*(4*u - 1)/3
Let f be (-27)/(-15) - (0 - -1). Let r(w) be the second derivative of -f*w**5 + 1/6*w**4 + 0 - w + 2/3*w**3 + 0*w**2 + 1/3*w**6. Find n such that r(n) = 0.
-2/5, 0, 1
Solve -21/2*k**3 + 12*k**2 - 27/4*k + 3/2 - 3/4*k**5 + 9/2*k**4 = 0 for k.
1, 2
Let c(t) = 4*t - 8. Let m be c(3). Let 0*n**2 + 0 + 5/2*n**m + 0*n + n**3 = 0. Calculate n.
-2/5, 0
Let u(m) be the second derivative of m**7/21 - m**6/15 - m**5/5 + m**4/3 + m**3/3 - m**2 + 12*m. Suppose u(v) = 0. What is v?
-1, 1
Let z(o) be the third derivative of o**8/2240 - o**7/2520 - o**6/270 + o**5/90 - o**4/12 + 3*o**2. Let j(w) be the second derivative of z(w). Factor j(r).
(r + 1)*(3*r - 2)**2/3
Let i(j) be the third derivative of j**7/147 + 23*j**6/420 + j**5/21 - 2*j**4/21 - 2*j**2 + 13*j. Find l, given that i(l) = 0.
-4, -1, 0, 2/5
Let k be 4/6 + 43/3. Determine q so that -3*q**3 + 3*q**2 - 7*q**3 + 19*q**3 - 3*q - k*q**4 + 6*q**5 = 0.
-1/2, 0, 1
Suppose 0 + 6 = 3*u. Suppose -16 - 2 = -3*r. Factor 2*f**3 + 3*f - 3*f + 4*f - r*f**2 + 2*f - u.
2*(f - 1)**3
Let j(f) = 2*f - 9. Let o be j(6). Let -g**5 + 2*g**4 - o*g - 3*g + 10*g - 8*g**2 + 3*g**3 = 0. Calculate g.
-2, 0, 1, 2
Let w = -46 - -142/3. Solve -5/3*a**2 - 8/3*a - w - 1/3*a**3 = 0 for a.
-2, -1
Suppose 5*v = -0*v. Let j(n) be the third derivative of 1/60*n**4 - 1/75*n**5 + 0*n + n**2 + 0*n**3 + v + 1/300*n**6. Solve j(b) = 0.
0, 1
Let l(c) be the third derivative of c**6/150 - c**5/25 - c**4/30 + 2*c**3/5 - 2*c**2. Let l(m) = 0. Calculate m.
-1, 1, 3
Let o(b) be the first derivative of -b**5/30 + b**4/6 - 2*b**3/9 - 3*b - 2. Let g(c) be the first derivative of o(c). Factor g(j).
-2*j*(j - 2)*(j - 1)/3
Let g be 3/6 + 52/(-120). Let k(m) be the first derivative of g*m**5 + 2/3*m**2 - 2 + 0*m + 0*m**3 - 1/4*m**4. Find d, given that k(d) = 0.
-1, 0, 2
Suppose -17*d - 2 + 53 = 0. Determine a, given that 0 - 8/7*a + 8/7*a**2 - 2/7*a**d = 0.
0, 2
Let w(t) be the first derivative of 4*t**3/9 - 4*t**2 + 12*t - 1. Factor w(l).
4*(l - 3)**2/3
Solve -23*l**3 + 3*l**2 + 12*l**3 + 17*l**3 - 9*l**4 = 0 for l.
-1/3, 0, 1
Let n(j) be the second derivative of -3*j**5/140 - j**4/14 + j**3/2 - 6*j**2/7 + 4*j. Factor n(a).
-3*(a - 1)**2*(a + 4)/7
Let z(l) be the second derivative of -2*l**6/135 + l**5/9 - 7*l**4/27 + 2*l**3/9 - 11*l. Factor z(k).
-4*k*(k - 3)*(k - 1)**2/9
Let f(p) = -18*p - 429. Let n be f(-24). Factor 2/5*x**n + 2/5 - 2/5*x - 2/5*x**2.
2*(x - 1)**2*(x + 1)/5
Find n such that 0 + 3*n + 1/2*n**3 - 5/2*n**2 = 0.
0, 2, 3
Let m(i) = -i**2 - i + 1. Let o(x) = 2*x**3 - 11*x**2 - x + 4. Let p(f) = 4*m(f) - o(f). Suppose p(z) = 0. Calculate z.
0, 1/2, 3
Let o(j) = j**3 + 5*j**2 + 3*j - 3. Let i be o(-3). Determine t, given that t**2 + 8 + i*t - 1 - 11*t**2 - 3 = 0.
-2/5, 1
Let t(s) be the first derivative of s**5/25 + s**4/10 - s**3/15 - s**2/5 + 1. Determine b so that t(b) = 0.
-2, -1, 0, 1
Let y(t) be the first derivative of -t**7/1680 - t**6/360 + t**5/240 + t**4/24 - 4*t**3/3 - 1. Let q(o) be the third derivative of y(o). Factor q(l).
-(l - 1)*(l + 1)*(l + 2)/2
Factor -1/2 + 2*p**2 - 3/2*p.
(p - 1)*(4*p + 1)/2
Let g be ((-4)/2)/((-4)/6). Factor -3*s**2 + 5*s**2 - 4*s**3 - g*s**2 + 3*s**3.
-s**2*(s + 1)
Factor -3/5*a**2 - 3/5 + 6/5*a.
-3*(a - 1)**2/5
Let a(j) = 486*j**4 - 199*j**3 + 7*j**2 + 17. Let i(z) = -81*z**4 + 33*z**3 - z**2 - 3. Let l(r) = -6*a(r) - 34*i(r). Factor l(m).
-2*m**2*(9*m - 2)**2
Let l(s) = 36*s**4 - 15*s**3 - 48*s**2 + 27*s - 15. Let n(v) = -5*v**4 + 2*v**3 + 7*v**2 - 4*v + 2. Let w(x) = 2*l(x) + 15*n(x). What is u in w(u) = 0?
-2, 0, 1
Let h = 7 - 3. Let n(q) be the second derivative of -2*q**2 - 1/20*q**5 + 0 - 4/3*q**3 - 5/12*q**h - 2*q. Factor n(r).
-(r + 1)*(r + 2)**2
Let k(c) = 7*c**2 + 21*c + 36. Let m(f) = -36*f**2 - 104*f - 180. Let y(a) = 16*k(a) + 3*m(a). Solve y(l) = 0 for l.
-3
Let s be 2/(-11) - 124/(-198). Factor -14/9*g**3 + 14/9*g + s - 4/9*g**2.
-2*(g - 1)*(g + 1)*(7*g + 2)/9
Suppose -2/9*q**3 + 0 + 0*q + 2/9*q**2 = 0. What is q?
0, 1
Let g = -14 + 20. Suppose -6 = -g*f + 3*f. Let -6 + 5*c**2 - f - 8*c + 4 = 0. Calculate c.
-2/5, 2
Let q(p) be the second derivative of -p**8/420 + p**6/45 - p**4/6 + p**3 - 9*p. Let 