).
(4*o + 3)**3/5
Let c(i) be the first derivative of i**3 + 7*i**2/2 + 5*i + 2. Let p(q) = 4*q**2 + 10*q + 7. Let v(f) = 7*c(f) - 5*p(f). Solve v(n) = 0.
0, 1
Let v(a) = -a**5 + a**4 + a**3 - 1. Let j(y) = 18*y**5 - 3*y**4 - 30*y**3 - 6*y**2 + 12*y + 9. Let i(q) = j(q) + 6*v(q). Find m such that i(m) = 0.
-1, -1/4, 1
Let r = -574/3 + 193. Let v(w) be the first derivative of 2*w + 4 + r*w**3 + 7/2*w**2. Determine a so that v(a) = 0.
-1, -2/5
Let a be (-12)/10*(-35)/14. Solve 0*i + 0*i**2 + 0 - 2/3*i**a + 2/3*i**4 = 0 for i.
0, 1
Let r(d) be the third derivative of d**8/216 + 16*d**7/945 + 11*d**6/540 + d**5/135 - 8*d**2. Factor r(l).
2*l**2*(l + 1)**2*(7*l + 2)/9
Let o(c) be the second derivative of 7/2*c**3 + 3*c**2 + 7/4*c**4 + 0 + 8*c + 3/10*c**5. Factor o(y).
3*(y + 1)*(y + 2)*(2*y + 1)
Factor 13*u**2 - 95*u**2 + 64*u + 10*u**2 - 16*u + 27*u**3 - 3*u**4.
-3*u*(u - 4)**2*(u - 1)
Let y(c) be the first derivative of 2*c**5/5 - 3*c**4/2 + 4*c**3/3 - 7. Factor y(s).
2*s**2*(s - 2)*(s - 1)
Let q(u) be the second derivative of 0 - 1/6*u**3 - 1/12*u**4 - 3*u + 0*u**2. Solve q(m) = 0.
-1, 0
Suppose -3*c + 20 = -j, 0 = 5*c + j - 43 + 7. Factor -c + 4*m**3 + 22*m**2 + 10*m + 4*m**3 + 3.
2*(m + 1)*(m + 2)*(4*m - 1)
Let g be (-55)/(-60) - (-6)/(-9). Factor 0*d**2 + 1/8*d**5 + 1/8*d + 0*d**4 - g*d**3 + 0.
d*(d - 1)**2*(d + 1)**2/8
Let k(z) be the first derivative of -5*z**5 + 15*z**4 + 5*z**3/3 - 30*z**2 + 20*z - 11. Determine x so that k(x) = 0.
-1, 2/5, 1, 2
Solve 0 - 1/8*x**3 + 5/8*x**2 + 0*x = 0.
0, 5
Solve 4/3 + 1/3*b**2 - 5/3*b**4 + 1/3*b**5 - 8/3*b + 7/3*b**3 = 0 for b.
-1, 1, 2
Let n be ((-6)/18)/(1/(-117)). Let f = -193/5 + n. Suppose f*o**2 - 2/5*o**5 - 2/5*o**4 + 0*o + 0 + 2/5*o**3 = 0. Calculate o.
-1, 0, 1
Let p(l) = l. Let a(o) = 2*o**2 - 3*o. Let s(y) = a(y) - p(y). Factor s(x).
2*x*(x - 2)
Let m(s) = -2*s**4 - 4*s**3 + 4*s. Let o(k) = 2*k**4 + 3*k**3 - 3*k. Let a(l) = -l**3 + 5*l**2 - l + 1. Let u be a(5). Let p(h) = u*o(h) - 3*m(h). Factor p(g).
-2*g**4
Factor 1/2*n**3 - 1/2 - 1/2*n + 1/2*n**2.
(n - 1)*(n + 1)**2/2
Let u be (2/(-2) + 11)/(-1 - -3). Let p(r) be the third derivative of 0*r**u + 0*r**4 - 1/30*r**6 + 1/21*r**7 + 0 - r**2 + 0*r**3 + 0*r. Solve p(l) = 0.
0, 2/5
Let l = -117/2 + 53. Let n = 6 + l. Suppose 0 + 1/2*u**4 - n*u + 1/2*u**3 - 1/2*u**2 = 0. What is u?
-1, 0, 1
Factor 2*x**3 + x**2 - 5*x**2 - x**3 - 2*x - 3*x**3.
-2*x*(x + 1)**2
Let g(f) = 3*f**3 - 13*f**2 - 19*f + 36. Let c(i) = -i**3 + 7*i**2 + 9*i - 18. Let l(j) = 7*c(j) + 3*g(j). Solve l(d) = 0 for d.
-3, 1
Let g(b) = b**2. Let p(r) = -5*r**2 - 6*r - 3. Let s(f) = 2*g(f) + p(f). Factor s(z).
-3*(z + 1)**2
Let w(f) = f**2 + 1. Let b be w(-2). Determine u so that 2 - 3*u**2 - 3*u**2 - 6 + 4*u + b*u**2 = 0.
2
Let f = 85/2 - 40. Solve -4*g + 2 + f*g**2 - 1/2*g**3 = 0.
1, 2
Suppose -40 = -3*q + 5*d, -13 = -4*q - d + 2. Solve -4*k**5 - k**3 + 14*k**q - k**4 - 9*k**5 + k**2 = 0.
-1, 0, 1
Factor 3*p + 8 + 0*p**3 + 16*p**2 - 3*p + 4*p**3 + 20*p.
4*(p + 1)**2*(p + 2)
Suppose -2*v = -6*v + 36. Suppose v = 3*z - 0*z. Factor 2/3 + 4/3*q**2 - 2*q + 4/3*q**z + 2/3*q**5 - 2*q**4.
2*(q - 1)**4*(q + 1)/3
Let s(y) be the second derivative of -5*y**8/672 - y**7/60 - y**6/120 + 3*y**2/2 - 2*y. Let j(a) be the first derivative of s(a). Factor j(r).
-r**3*(r + 1)*(5*r + 2)/2
Let g be 576/840*(-5)/(-2). Solve 2/7*z**5 + 2/7*z - 8/7*z**4 + g*z**3 + 0 - 8/7*z**2 = 0.
0, 1
Let l(x) be the second derivative of -x**6/75 + 3*x**5/50 + 2*x**4/15 - 11*x. Factor l(i).
-2*i**2*(i - 4)*(i + 1)/5
Let y(h) be the third derivative of -h**7/105 + h**5/15 - h**3/3 - 19*h**2. Factor y(i).
-2*(i - 1)**2*(i + 1)**2
Let z = -128/3 - -769/18. Let m(v) be the second derivative of -1/60*v**5 + 0 + 0*v**2 + v + 0*v**4 + z*v**3. Let m(l) = 0. What is l?
-1, 0, 1
Let y(t) be the first derivative of t**5/90 - t**4/18 + t**3/9 + t**2 + 1. Let w(c) be the second derivative of y(c). Suppose w(b) = 0. Calculate b.
1
Let h(s) be the second derivative of -4*s**6/45 - 11*s**5/15 - 2*s**4 - 8*s**3/9 + 16*s**2/3 - 8*s. Factor h(a).
-4*(a + 2)**3*(2*a - 1)/3
Factor -1/4*g**5 + 1/4*g**3 + 0*g**2 + 0*g + 0 + 0*g**4.
-g**3*(g - 1)*(g + 1)/4
Let p(x) be the third derivative of -x**5/20 + 3*x**4/4 - 5*x**3/2 + x**2. Factor p(l).
-3*(l - 5)*(l - 1)
Suppose 4*s + d = -2*d + 6, 3*d - 6 = -s. Suppose -5*b - 4*k + 5 = -9, 3*k - 3 = s. Factor -b*i**5 + 5*i + 2*i**4 - 5*i.
-2*i**4*(i - 1)
Let y(g) = 8*g**4 + 4*g**3 + 6*g**2 + 6*g - 6. Let w be (63/(-28))/(3/8). Let x(p) = p**4 + p**2 + p - 1. Let n(b) = w*x(b) + y(b). Factor n(a).
2*a**3*(a + 2)
Let g(c) be the first derivative of c**4/10 + 2*c**3/5 + 3*c**2/5 + 2*c/5 - 7. Factor g(d).
2*(d + 1)**3/5
Let i(y) be the third derivative of -1/30*y**6 + 0*y**5 + 1/56*y**8 + 0*y**3 + 1/105*y**7 + 4*y**2 + 0 + 0*y**4 + 0*y. Let i(c) = 0. Calculate c.
-1, 0, 2/3
Let k(a) be the third derivative of a**6/150 + a**5/75 - a**4/15 - 19*a**2. Let k(l) = 0. Calculate l.
-2, 0, 1
Solve 4*y - 10*y**2 + 12*y**2 + 4 + 6*y**2 - 7*y**2 = 0.
-2
Let c(i) be the first derivative of -i**5/25 - i**4/10 - i**3/15 + 33. Factor c(z).
-z**2*(z + 1)**2/5
Let b(m) be the second derivative of m**7/315 + m**6/225 - m**5/150 - m**4/90 - 13*m. Factor b(d).
2*d**2*(d - 1)*(d + 1)**2/15
Let r = 1061 + -8487/8. Find m such that 1/8*m**3 + 0*m - r*m**4 + 0 + 0*m**2 = 0.
0, 1
Let m(t) be the third derivative of 0 + 0*t + 1/30*t**5 - 1/90*t**6 - 1/315*t**7 - 4/9*t**3 - 2*t**2 + 1/9*t**4. Factor m(c).
-2*(c - 1)**2*(c + 2)**2/3
Let k(z) be the third derivative of -z**9/60480 + z**7/1680 + z**6/360 + z**5/12 + 8*z**2. Let y(p) be the third derivative of k(p). Factor y(f).
-(f - 2)*(f + 1)**2
Let d(w) be the second derivative of 8*w**6/15 + 7*w**5/5 - 2*w**4 - 14*w**3/3 + 4*w**2 + 4*w. Solve d(k) = 0.
-2, -1, 1/4, 1
Let j = 33 - 30. Factor 3/5*g**2 - 4/5 + 1/5*g**j + 0*g.
(g - 1)*(g + 2)**2/5
Let l = -46 + 46. Let m(f) be the third derivative of 1/60*f**6 + 0*f - f**2 + 1/21*f**8 + 0*f**5 + 0*f**3 + 0 + l*f**4 + 2/35*f**7. Factor m(p).
2*p**3*(2*p + 1)*(4*p + 1)
Let j(y) be the second derivative of y**7/10 - y**6/20 - 7*y**5/20 + y**4/4 + 2*y**2 - y. Let u(i) be the first derivative of j(i). Solve u(o) = 0 for o.
-1, 0, 2/7, 1
Let o(g) = -g**2 + 16*g - 12. Let k(l) = -l + 1. Let y(u) = 22*k(u) + 2*o(u). Let a(q) = -q**2 + 11*q - 3. Let x(d) = -6*a(d) + 7*y(d). What is h in x(h) = 0?
-1/2, 1
Let o(a) be the first derivative of -3/7*a**2 - 2/21*a**3 - 4/7*a - 2. Let o(j) = 0. Calculate j.
-2, -1
Let f be (4/(-8))/(1/4). Let q be 3 + f - (-1 + -1). Factor 0*p**q - 3*p**3 - 2*p**2 - 2*p + 2 + 5*p**3.
2*(p - 1)**2*(p + 1)
Let p(m) be the second derivative of m**7/63 + 4*m**6/45 - m**5/10 - m**4 - 17*m. Factor p(v).
2*v**2*(v - 2)*(v + 3)**2/3
Suppose 3*u + 3*m - 15 = 0, -u + m + 4 = 1. Factor u*z + z + 2*z**2 + z + 4.
2*(z + 1)*(z + 2)
Let t be 0*((-105)/60 - -2*1). Let c(j) = j**3 - 6*j**2 + 4*j + 7. Let h be c(5). Let 0 - 1/2*a**3 - 1/2*a**h + t*a = 0. Calculate a.
-1, 0
Let t(g) = g**3 + 13*g**2 - 15*g - 14. Let f be t(-14). Let d(o) be the first derivative of f*o**2 - 1 - 1/3*o**3 + o. Factor d(i).
-(i - 1)*(i + 1)
Let x(n) be the second derivative of 3*n**5/130 + n**4/39 - 28*n. Find a such that x(a) = 0.
-2/3, 0
Let w(z) be the first derivative of -z**4 + 16*z**3/3 - 6*z**2 + 8. Suppose w(l) = 0. Calculate l.
0, 1, 3
Let r(w) be the second derivative of 4*w**4/3 + 6*w**3 + 4*w**2 - 17*w. Determine d so that r(d) = 0.
-2, -1/4
Let p(i) be the third derivative of -i**6/120 - i**5/15 - i**4/6 - 9*i**2. Determine d, given that p(d) = 0.
-2, 0
Let j(u) = -u**2 + 9*u - 6. Let n be j(8). Factor k - k**3 + 0 - k**2 + 0 + 1 + 0*k**n.
-(k - 1)*(k + 1)**2
Factor 0 + 0*d + 1/3*d**5 - 2/3*d**4 + 1/3*d**3 + 0*d**2.
d**3*(d - 1)**2/3
Let i(t) be the first derivative of 6 - 2/3*t**3 + 1/2*t**4 + 2*t - t**2. Factor i(u).
2*(u - 1)**2*(u + 1)
Let t(c) be the second derivative of -1/12*c**4 + 1/20*c**5 + 6*c + 0*c**3 + 0*c**2 + 0. Factor t(q).
q**2*(q - 1)
Solve -6035*x + 15*x**4 + 20*x**3 + 6035*x + 5*x**2 = 0.
-1, -1/3, 0
Factor 4*s**2 + 10*s - 5 + 9 - 2*s.
4*(s + 1)**2
Suppose 0 = -3*q + 5*q - 52. Suppose 2*v - q = 2. Factor 4*n**2 - 1 - n - 7*n - 4*n**3 - 1 - v*n**2.
-2*(n + 1)**2*(2*n + 1)
Let d(b) be the first derivative of -b**4/20 + b