) be the second derivative of v**5/60 + v**4/4 + 3*v**3/2 - 2*v**2 - 3*v. Let j(c) be the first derivative of d(c). Factor j(n).
(n + 3)**2
Solve -40/3*w**5 + 302/9*w**4 - 8/9 + 40/9*w + 2/3*w**2 - 220/9*w**3 = 0.
-2/5, 1/4, 2/3, 1
Let x(o) = -2*o**4 + 3*o**3 - 3*o**2 - 3*o. Let a(q) = 3*q**4 - 5*q**3 + 5*q**2 + 5*q. Let v(k) = -5*a(k) - 8*x(k). Let v(u) = 0. Calculate u.
-1, 0, 1
Let y(m) = 2*m - 12. Let o be y(7). Factor -4/9*s**2 - 8/9*s**4 + 0*s + 0 + o*s**3.
-2*s**2*(s - 2)*(4*s - 1)/9
Let k(c) be the second derivative of -c**6/10 - 3*c**5/5 + 8*c**3 + 24*c**2 + 20*c. Suppose k(v) = 0. Calculate v.
-2, 2
Let x = 10 + -10. Let a(r) be the first derivative of 2 + 2/45*r**5 + 1/6*r**4 + x*r + 1/9*r**2 + 2/9*r**3. Let a(s) = 0. What is s?
-1, 0
Let l(j) be the second derivative of 1/84*j**4 - j**2 - 2*j + 0 + 0*j**3 + 1/210*j**5. Let w(h) be the first derivative of l(h). Find i such that w(i) = 0.
-1, 0
Let x(r) be the third derivative of -r**2 + 0*r + 1/60*r**6 + 1/9*r**4 - 4/45*r**5 + 0 + 0*r**3. Factor x(v).
2*v*(v - 2)*(3*v - 2)/3
Let j be (-1)/3 + 51/135. Let i(w) be the second derivative of 0 + j*w**5 + 5/27*w**3 + 1/9*w**2 - 2*w + 4/27*w**4. Factor i(k).
2*(k + 1)*(2*k + 1)**2/9
Let j(o) be the third derivative of -o**8/2184 - o**7/273 - o**6/78 - o**5/39 - 5*o**4/156 - o**3/39 + 3*o**2. Factor j(x).
-2*(x + 1)**5/13
Let f(t) be the second derivative of t**9/4536 - t**7/630 + t**5/180 - 5*t**3/6 + 4*t. Let j(z) be the second derivative of f(z). What is v in j(v) = 0?
-1, 0, 1
Let r be -3*(-3 + -2 + 1). Let m be (r/(-15))/(4/(-10)). Solve 2/9*u + 0 - 2/9*u**m = 0.
0, 1
Let g(x) = -x**3 + 2*x**2 + 5*x - 2. Let b be g(3). Suppose -b*d = 5*p + 15, -d = d - p - 3. Factor 0*w + d + 2/3*w**4 + 0*w**3 - 2/3*w**2.
2*w**2*(w - 1)*(w + 1)/3
Let x(u) be the second derivative of 1/2*u**2 + u + 1/2*u**3 + 0 + 1/40*u**5 - 3/16*u**4. Let p(r) be the first derivative of x(r). Let p(f) = 0. What is f?
1, 2
Let q(y) be the second derivative of 0*y**2 + 0*y**3 + 0*y**4 - 1/75*y**6 + 0 + 0*y**5 + 4*y. Let q(i) = 0. Calculate i.
0
Let z be 2/(-1)*(1 - 2). Suppose -z*m + 3*m = -y + 10, -y = 4*m - 25. Find c such that 0*c - 1/4*c**y + 1/2*c**4 + 0*c**2 - 1/4*c**3 + 0 = 0.
0, 1
Let h = 16 - 13. Determine i, given that 8*i + h*i**3 + 2 + 7*i + 15*i**2 + 9*i + 10 = 0.
-2, -1
Let n be (-4 + 2 - -1)/((-35)/10). Solve 4/7 - n*m - 2/7*m**2 = 0 for m.
-2, 1
Let o(p) be the first derivative of 0*p**2 + 0*p - 2 + 4/3*p**3 + 1/2*p**4. Factor o(c).
2*c**2*(c + 2)
Let w(z) be the third derivative of z**8/840 - z**6/75 - z**5/75 + z**4/20 + 2*z**3/15 + 2*z**2. Factor w(x).
2*(x - 2)*(x - 1)*(x + 1)**3/5
Suppose 3*v = 4*v - 2. Solve 2*p**v - 6*p + 6*p**2 - 2*p**3 - 6*p + 4*p = 0 for p.
0, 2
Let -2/5*u**2 - 8/5*u + 2 = 0. What is u?
-5, 1
Let v(n) be the third derivative of n**6/300 - n**4/20 + 2*n**3/15 - n**2. Suppose v(z) = 0. Calculate z.
-2, 1
Let m be (24/36)/(4/(-6)). Let q be m - 26/(-6) - 3. Factor -q*h - 8/3*h**2 - 5/3*h**3 + 2/3.
-(h + 1)**2*(5*h - 2)/3
Let c(y) be the third derivative of y**7/140 + y**6/40 + y**5/40 - 11*y**2. Find q such that c(q) = 0.
-1, 0
Let f be 2/10 - (-84)/(-20). Let n(s) = s - 1. Let b(g) = -2*g**2 + 2*g - 4. Let r(t) = f*n(t) + b(t). Factor r(q).
-2*q*(q + 1)
Let u(s) = -s**2 - s + 1. Let g(b) = 4*b**4 - 4*b**3 - 12*b**2 - 4*b + 8. Let d(f) = -g(f) + 8*u(f). Factor d(p).
-4*p*(p - 1)**2*(p + 1)
Let b(k) be the third derivative of k**8/420 - 11*k**6/360 - 3*k**5/40 - k**4/12 + 2*k**3/3 + k**2. Let m(o) be the first derivative of b(o). Factor m(s).
(s - 2)*(s + 1)*(2*s + 1)**2
Let s(f) be the third derivative of -f**9/1512 - f**8/840 + f**7/420 + f**6/180 - f**3/3 - 2*f**2. Let m(h) be the first derivative of s(h). Factor m(l).
-2*l**2*(l - 1)*(l + 1)**2
Let t be (-117)/(-270) - 1/(-6). Suppose -6*v - 3 = -7*v. Factor 0 - 1/5*g**v - 2/5*g - t*g**2.
-g*(g + 1)*(g + 2)/5
Find x, given that 1/8*x - 1/8*x**3 + 0 + 0*x**2 = 0.
-1, 0, 1
Let t(n) be the first derivative of n**5/15 + n**4/4 + n**3/9 + 6*n + 2. Let h(y) be the first derivative of t(y). What is d in h(d) = 0?
-2, -1/4, 0
Let y(g) be the second derivative of -g**7/63 - 2*g**6/15 - g**5/6 + 8*g**4/9 + 4*g**3/3 - 16*g**2/3 + 21*g. Solve y(x) = 0.
-4, -2, 1
Let d(t) = t**2 + t + 1. Let v(f) be the second derivative of 5*f**4/12 + f**3/3 + 5*f**2/2 - 4*f. Let i(g) = -4*d(g) + v(g). Determine a, given that i(a) = 0.
1
Let n(t) be the first derivative of -t**4/48 + t**3/12 + 3*t + 2. Let u(w) be the first derivative of n(w). Solve u(m) = 0.
0, 2
What is a in 4*a**2 - 9*a**2 - a**2 - 4 - 8*a**2 + 18*a = 0?
2/7, 1
Let l be (292/(-96) - -3)/(-5). Let i(h) be the third derivative of 0*h**4 + 1/240*h**6 + 0*h**3 - 3*h**2 - l*h**5 + 0 + 0*h. Determine a so that i(a) = 0.
0, 1
Let m(p) be the third derivative of p**7/1260 - p**6/540 + 2*p**3/3 - 2*p**2. Let y(q) be the first derivative of m(q). Factor y(t).
2*t**2*(t - 1)/3
Let c(h) be the first derivative of -11*h**5/40 - 13*h**4/32 + 5*h**3/6 + h**2/4 + 37. Let c(x) = 0. What is x?
-2, -2/11, 0, 1
Suppose 0 = q - 4. Suppose q*r - 3*r + 2*y = 5, 5*y = r + 2. Suppose -18/5*a**2 - 4/5*a + 0 - 14/5*a**r = 0. What is a?
-1, -2/7, 0
Let g(s) = -3*s**4 + 9*s**3 - 3*s**2 + 15*s - 18. Let w(v) = v - 2. Let h be w(1). Let y(b) = b**3 - b**2 + b - 1. Let c(l) = h*g(l) + 12*y(l). Factor c(d).
3*(d - 1)**2*(d + 1)*(d + 2)
Let j(n) = -10*n**4 - 275*n**3 + 320*n**2 - 100*n + 65. Let b(h) = -h**4 - 25*h**3 + 29*h**2 - 9*h + 6. Let g(i) = -65*b(i) + 6*j(i). Solve g(p) = 0.
0, 1, 3
Let o = 0 - 3. Let x(b) = -b**5 + 2*b**4 - b**3 + 4*b**2 - 4*b. Let n(q) = -3*q**4 - 3*q**2 + 3*q. Let d(g) = o*x(g) - 4*n(g). Determine m, given that d(m) = 0.
-1, 0
Find m such that 0 + 3/4*m**2 + 2*m = 0.
-8/3, 0
Let y be (0*2/(-4)*-1)/(-2). Factor 16/5*n**3 + 2/5*n - 12/5*n**2 + y.
2*n*(2*n - 1)*(4*n - 1)/5
Let y be 136/6 + 4/(-6). Let k = y + -13. Let v(j) = 8*j**2 + 23*j + 23. Let a(b) = -2*b**2 - 6*b - 6. Let z(o) = k*a(o) + 2*v(o). Let z(f) = 0. What is f?
-2
Let n be -4 - 5/((-1125)/906). Let i(w) be the third derivative of 1/60*w**4 + n*w**5 + 0*w**3 + 2*w**2 + 0 + 0*w. Suppose i(u) = 0. Calculate u.
-1/4, 0
Let o(d) be the second derivative of -d**6/80 + 3*d**5/80 - d**4/32 - 16*d. Find j, given that o(j) = 0.
0, 1
Let h be (8/(-24))/(2/(-6)). Let c(a) = -a**3. Let q(m) = -16*m**4 - 8*m**3 + 4*m**2. Let r(v) = h*q(v) + 4*c(v). Factor r(x).
-4*x**2*(x + 1)*(4*x - 1)
What is j in 33*j + 5*j**3 + 5*j**2 - 81*j + 38*j = 0?
-2, 0, 1
Suppose 2*s + 5*w = 57, -3*w = s - 2*s + 23. Let j = -24 + s. Factor 0*m + 0 + 1/2*m**j + 1/2*m**5 - 1/2*m**4 - 1/2*m**3.
m**2*(m - 1)**2*(m + 1)/2
Let s(v) be the first derivative of -1/6*v**4 + 0*v**2 - 3 + 1/10*v**5 + 0*v**3 - v. Let d(k) be the first derivative of s(k). Factor d(p).
2*p**2*(p - 1)
Let a(j) = 4*j + 30. Let m be a(-7). Let l(t) be the third derivative of 0*t**3 + 2*t**m + 0 + 0*t**4 + 0*t - 1/60*t**5 - 1/120*t**6. Solve l(v) = 0 for v.
-1, 0
Let h(x) be the second derivative of x**6/135 + x**5/90 - x**4/27 + 5*x. Factor h(c).
2*c**2*(c - 1)*(c + 2)/9
Let d(u) be the first derivative of -49*u**5/5 - 56*u**4 - 104*u**3 - 64*u**2 - 16*u + 8. Factor d(m).
-(m + 2)**2*(7*m + 2)**2
Find y, given that 4*y**2 + 17*y - y**2 + y**2 + 11*y = 0.
-7, 0
Let h = 1025 + -1025. Solve 3/7*x**3 - 3/7*x**2 + h + 0*x = 0.
0, 1
Suppose 5*a + 3 - 13 = 0. Let z(k) = k. Let o be z(a). Factor -4*n**2 + 5*n**o + 2*n**3 + 0*n**2 - 5*n**2.
2*n**2*(n - 2)
Let b = -16 - -18. Let o(t) be the first derivative of -1/3*t + 2 + 1/9*t**3 + 0*t**b. Suppose o(y) = 0. Calculate y.
-1, 1
Factor 3*h**3 - 2*h**3 + 19*h**2 - 19*h**2.
h**3
Let v(a) be the first derivative of -a**4 + 2. What is y in v(y) = 0?
0
Suppose 5*x**4 + 15*x**3 + 5*x**2 + 4 + 1 - 15*x - 15 = 0. Calculate x.
-2, -1, 1
Factor 6/5*w**2 + 3/5 + 3/5*w**5 - 9/5*w + 6/5*w**3 - 9/5*w**4.
3*(w - 1)**4*(w + 1)/5
Let v = -43 - -46. Factor -1/4*s**v + 1/4 + 1/4*s - 1/4*s**2.
-(s - 1)*(s + 1)**2/4
Factor 0*p**2 + 0*p - 4/7*p**3 + 6/7*p**4 + 0 - 2/7*p**5.
-2*p**3*(p - 2)*(p - 1)/7
Let d = 623/24 + 75/8. Let n = d - 35. Factor -2/3 + 1/3*s**2 + n*s.
(s - 1)*(s + 2)/3
Let y(r) be the first derivative of r**4/6 - 4*r**3/9 - r**2 + 13. Factor y(g).
2*g*(g - 3)*(g + 1)/3
Suppose 10 = y - 2*a, -4*a = 3*y - a + 6. Le