*3 - 3/448*h**8 + 0 + 1/280*h**7 + 0*h**4 + 1/96*h**6. Factor k(m).
-m**2*(m - 1)*(3*m + 1)**2/4
Let c(h) be the second derivative of -h**6/225 + h**5/50 - h**4/30 + h**3/45 + 9*h. Suppose c(f) = 0. What is f?
0, 1
Let s(x) be the first derivative of -x**5/180 - x**4/72 - 3*x**2/2 - 1. Let t(m) be the second derivative of s(m). Let t(b) = 0. Calculate b.
-1, 0
Let z = 5 - 9. Let n(y) = -2*y**5 + 4*y**3 - 8*y**2 - 2*y + 4. Let i(f) = 3*f**5 + f**4 - 5*f**3 + 9*f**2 + 2*f - 5. Let o(s) = z*i(s) - 5*n(s). Factor o(u).
-2*u*(u - 1)*(u + 1)**3
Let y(b) = -2*b**3 - b**2 + b. Let t be y(1). Let c be 2*1/t + 7. Suppose -3 + 5 + 3*l**2 + 3*l**2 - l**3 - l**3 - c*l = 0. Calculate l.
1
Let t(r) = -r. Let f be t(-4). Let p(i) = -i**2 + 5*i - 1. Let h be p(f). Factor 1/2 + 0*s**h + 1/2*s**4 + 0*s - s**2.
(s - 1)**2*(s + 1)**2/2
Factor 0*c + 2/7*c**2 + 0*c**3 + 4/7*c**5 + 0 - 6/7*c**4.
2*c**2*(c - 1)**2*(2*c + 1)/7
Let a be 4/14 + (-162)/126. Let s be 1 - 1 - a*4. Factor 1/4*u - 1/4*u**s + 0 - 1/4*u**3 + 1/4*u**2.
-u*(u - 1)*(u + 1)**2/4
What is k in -3/2 - 3*k**4 + 9/2*k**2 + 3/2*k - 3/2*k**3 = 0?
-1, 1/2, 1
Let x = 13 + -12. Let l be (x - 8/(-6)) + -2. Determine w, given that -2/3*w + l + 1/3*w**2 = 0.
1
Suppose -2/5*p**2 + 0 + 0*p = 0. Calculate p.
0
Suppose 4*v = -4*p + 3*v - 12, -p - 3*v = 14. Let d be 1/(1/p*-11). Factor -d + 0*u + 2/11*u**2.
2*(u - 1)*(u + 1)/11
Let u(b) be the first derivative of -b**5/5 - b**4/2 + b**2 + b + 7. Determine s so that u(s) = 0.
-1, 1
Let t(w) be the first derivative of -w**5/40 + w**4/12 - w**3/12 - 3*w + 4. Let i(s) be the first derivative of t(s). Factor i(a).
-a*(a - 1)**2/2
Let l(z) be the third derivative of -3*z**7/350 + 7*z**6/200 + z**5/100 - 7*z**4/40 + z**3/5 + 9*z**2. Let l(w) = 0. What is w?
-1, 1/3, 1, 2
Let h(b) be the second derivative of -b**6/10 + 3*b**5/5 + b**4/2 - 6*b**3 - 27*b**2/2 + 2*b + 9. Factor h(p).
-3*(p - 3)**2*(p + 1)**2
Let i = 10 + -7. Factor x**5 + 0*x**5 + x**2 - i*x**4 - x**3 + 2*x**4.
x**2*(x - 1)**2*(x + 1)
Let c be 1/2*8*2. Let a be ((-6)/4)/((-3)/c). Factor 2*i**2 - 2*i**2 - 4*i**3 - 6*i**a.
-2*i**3*(3*i + 2)
Let w be (-2081)/78 + (-4)/26. Let a = -51/2 - w. Factor -2/3*q**2 - 2*q - a.
-2*(q + 1)*(q + 2)/3
Let f = -11 + 5. Let m be (3 + (f - 1))/(-6). Factor 2/3 + 0*d - m*d**2.
-2*(d - 1)*(d + 1)/3
Let g = 97 - 94. Let p(o) be the third derivative of 0*o**3 + 0*o**5 + 0 - 1/12*o**4 + 0*o + g*o**2 + 1/60*o**6. Factor p(v).
2*v*(v - 1)*(v + 1)
Factor 0 + 20/3*t**2 + 2/3*t**3 + 50/3*t.
2*t*(t + 5)**2/3
Suppose -5*x + 27 - 4 = -d, 2*d = -5*x + 29. Factor 2*p**2 - p + d*p + 2*p**3 - 1 - 3*p - 1.
2*(p - 1)*(p + 1)**2
Factor 25 - 7*v - 3*v**2 - 16 + v.
-3*(v - 1)*(v + 3)
Let l = -219/13 - -26293/1560. Let z(c) be the third derivative of -c**2 + 0 + 1/30*c**5 - l*c**6 + 1/24*c**3 + 0*c - 5/96*c**4. Factor z(u).
-(u - 1)*(2*u - 1)**2/4
Let d(p) be the first derivative of p**5/40 + p**4/8 + p**3/4 + p**2/4 + 3*p - 3. Let q(u) be the first derivative of d(u). Factor q(j).
(j + 1)**3/2
Suppose 16*r = 49*r. Let 0 + 1/4*w**2 + r*w = 0. Calculate w.
0
Let i(h) be the second derivative of -2*h**6/15 + 2*h**4/3 - 2*h**2 + 2*h. Factor i(l).
-4*(l - 1)**2*(l + 1)**2
Suppose l + 4*l = 20. Let y(b) = -b**3 + 3*b**2 + 5*b + 1. Let s be y(l). What is c in -c + 6*c**4 - 4*c**s - 4*c**4 - 2*c**2 + 5*c**5 = 0?
-1, 0, 1
Let x be (-6)/21 - 4048/(-56). Factor x*b - 16/3 - 324*b**2 + 486*b**3.
2*(9*b - 2)**3/3
Let s be 7 + 4 + -10 - (-1 - -2). Let g(x) be the second derivative of 0 + 1/21*x**3 + s*x**4 - 1/70*x**5 + 2*x + 0*x**2. Find y such that g(y) = 0.
-1, 0, 1
Let l(j) be the third derivative of j**5/60 - j**4/24 - 7*j**2. Let w(s) = 28*s**3 - 3*s**2 - 33*s + 8. Let n(m) = -5*l(m) + w(m). Factor n(c).
4*(c - 1)*(c + 1)*(7*c - 2)
Factor -8*j - 2*j**2 + 0*j - 2*j**2 + 4*j**3.
4*j*(j - 2)*(j + 1)
Let h(q) be the second derivative of -q**7/189 - q**6/135 + q**5/45 + q**4/27 - q**3/27 - q**2/9 + 7*q. Factor h(y).
-2*(y - 1)**2*(y + 1)**3/9
Let c be (-58)/2*2/(-2). Let w = c + -83/3. Factor w*l**2 - 2/3*l - 2/3*l**3 + 0.
-2*l*(l - 1)**2/3
Suppose -3 = -3*p, -10 = -a - 3*a - 2*p. What is w in -a*w**3 + 3*w**2 - 4*w - 9*w**2 - 2*w**2 - 2*w**3 = 0?
-1, 0
Let q(w) be the first derivative of 7*w**7/240 - 7*w**6/240 - w**5/10 - w**4/12 + w**3 + 5. Let p(a) be the third derivative of q(a). Let p(b) = 0. What is b?
-2/7, 1
Suppose 5*x + 9 = 8*x. Let k(i) be the second derivative of 0*i**2 - i + 0 - 1/48*i**4 + 1/24*i**x. Solve k(j) = 0 for j.
0, 1
Let r(l) be the third derivative of l**6/72 + 7*l**5/12 + 55*l**4/8 - 605*l**3/18 - 37*l**2 - 2. Factor r(k).
5*(k - 1)*(k + 11)**2/3
Suppose -30 = 4*m - 46. Determine f so that 0 - 2/7*f**m + 0*f**3 + 2/7*f**2 + 0*f = 0.
-1, 0, 1
Let s(q) be the first derivative of 3 - 1/2*q**2 + 2/3*q**3 + 0*q - 1/4*q**4. Determine f, given that s(f) = 0.
0, 1
Let y(n) be the second derivative of n**6/6 - 3*n**5/4 + 5*n**4/4 - 5*n**3/6 + 4*n. Factor y(x).
5*x*(x - 1)**3
Let z be (-1 + 3)*(-2)/(-10). Factor 0 + z*w**4 + 2/5*w - 2/5*w**3 - 2/5*w**2.
2*w*(w - 1)**2*(w + 1)/5
Let h = 21 + -12. Find g, given that 9 + 0*g + 6*g**2 - h + 4*g + 2*g**3 = 0.
-2, -1, 0
Let l(s) = -3*s**3 - 4*s**2 - 4*s - 4. Let j(y) = -7*y**3 - 8*y**2 - 9*y - 9. Let h(w) = -4*j(w) + 9*l(w). Factor h(b).
b**2*(b - 4)
Suppose -3*j = j - 12. Let k(a) = 6*a**4 - 6*a**3 + 6*a**2 - 3*a. Let n(v) = -17*v**4 + 19*v**3 - 18*v**2 + 8*v. Let o(f) = j*n(f) + 8*k(f). Factor o(q).
-3*q**2*(q - 2)*(q - 1)
Let m(s) be the second derivative of 1/12*s**4 + 0*s**3 + 0*s**2 + 0*s**5 - 4*s + 0 - 1/30*s**6. Factor m(k).
-k**2*(k - 1)*(k + 1)
Suppose -4*j + 30 = 4*h - 14, 4 = -h + 4*j. Let l be (h/(-25))/((-5)/25). Determine x so that -l*x - 3/5*x**2 + 9/5*x**3 + 4/5 = 0.
-1, 2/3
Let u(y) be the first derivative of 2 + 2/15*y**3 - 3/20*y**4 + 0*y + 1/10*y**2. Suppose u(b) = 0. Calculate b.
-1/3, 0, 1
Let m(k) be the second derivative of -4*k**5/5 - 3*k**4 - 4*k**3 - 2*k**2 - 10*k. Factor m(h).
-4*(h + 1)**2*(4*h + 1)
Let t(d) be the first derivative of -5*d**3/9 + 7*d**2/6 - 2*d/3 - 36. What is x in t(x) = 0?
2/5, 1
Factor 121*r - 91*r - 2*r**2 - r**2 - 2*r**2.
-5*r*(r - 6)
Factor 0 + 3/2*z**2 - 3/4*z - 3/4*z**3.
-3*z*(z - 1)**2/4
Let h = -17 - -19. Factor 2*b**3 - b + 3*b**2 - 5*b**h - 3*b.
2*b*(b - 2)*(b + 1)
Let o be (-2)/12 + 75/18. Let z(b) be the first derivative of 3*b**2 - 6/5*b**5 + 2*b + 2 - b**o - 1/3*b**6 + 4/3*b**3. Factor z(d).
-2*(d - 1)*(d + 1)**4
Let h(p) be the second derivative of -p**5/20 + p**3/2 + p**2 + 9*p. Suppose h(j) = 0. What is j?
-1, 2
Let b be (-5 - (-219)/45) + (-32)/(-15). Factor -2/5 + 2/5*s**b + 0*s.
2*(s - 1)*(s + 1)/5
Let y(z) = z**3 + 3*z**2 - 10*z + 2. Let c be y(-5). Let w(f) be the first derivative of 1/6*f**3 - 1/4*f**c - f + 2. Factor w(h).
(h - 2)*(h + 1)/2
Let j(g) = 9*g - 16. Let c be j(2). Let 3/5*k**c + 0 + 3/5*k = 0. What is k?
-1, 0
Suppose 5 = 2*i + 1. Let z(m) be the first derivative of 3/2*m**4 + 1/3*m**6 + 2/3*m**3 + 6/5*m**5 + 0*m**i + 0*m + 1. Determine n so that z(n) = 0.
-1, 0
Let t(m) = 30*m**3 - 18*m**2 - 19*m. Let z(k) = -15*k**3 + 9*k**2 + 10*k. Let c(r) = 4*t(r) + 7*z(r). Find g such that c(g) = 0.
-2/5, 0, 1
Let k(l) be the third derivative of -4/21*l**3 + 3*l**2 + 0*l + 0 + 1/21*l**4 - 1/210*l**5. What is p in k(p) = 0?
2
Let d(x) be the first derivative of 5*x**4/4 - 35*x**3/3 + 75*x**2/2 - 45*x - 6. Find z such that d(z) = 0.
1, 3
Let n be (-743)/28 + (-21)/28. Let a = -27 - n. Factor -6/7*h**2 + a*h**3 + 6/7*h - 2/7.
2*(h - 1)**3/7
Let r = 2 + 2. Solve -p**2 + 0*p**2 + r*p - 8*p**2 - p - 3*p**4 + 9*p**3 = 0 for p.
0, 1
Factor 15*w**2 + 6 - 7*w - 2*w - 10*w - 2*w.
3*(w - 1)*(5*w - 2)
Suppose -4*m + 17 = 5*y, -3*m = 2*y + 3*y - 9. Let p = m - 5. Find a, given that a**2 + a**p + 1 - 4 - a + 2 = 0.
-1, 1
Let w be (5 + -6)/(1/(-2)). Solve 6*c**2 + 0*c - w*c**3 - 2*c**2 - 2*c = 0 for c.
0, 1
Let u(i) be the second derivative of i**6/15 - 3*i**5/5 + i**4/6 + 8*i**3 + 16*i**2 + 4*i. Let u(p) = 0. What is p?
-1, 4
Let v(f) be the third derivative of -f**5/360 + f**4/72 + 12*f**2. Factor v(q).
-q*(q - 2)/6
Let z(g) be the third derivative of g**8/2352 + g**7/1470 - g**6/280 - g**5/420 + g**4/84 - 8*g**2. Determine l so that z(l) = 0.
-2, -1, 0, 1
Let d(x) be the second derivativ