4*w**5 - 7*w**2 - 12*w**2 + 15*w**2 + 0*w**5 - 4*w**3 + 4*w**4.
4*w**2*(w - 1)*(w + 1)**2
Factor 0*w + 0 - 15/4*w**4 - 10*w**3 - 5*w**2.
-5*w**2*(w + 2)*(3*w + 2)/4
Let w be (-10)/(-2) - 0/(-1). Factor 2*d**w - 2*d + 2*d**3 + d - 3*d**5.
-d*(d - 1)**2*(d + 1)**2
Let v = 24 + -22. Factor 8*p**4 + p - 8*p**v + 3*p**2 - 2*p + 4*p**5 + p**3 + 1.
(p + 1)**3*(2*p - 1)**2
Let s(h) be the second derivative of -h**7/189 + h**6/45 - h**5/45 - h**4/27 + h**3/9 - h**2/9 - 4*h. Solve s(v) = 0 for v.
-1, 1
Let y = -32 + 21. Let a = 14 + y. Factor 3*i**4 + 0*i**3 + 4*i**3 - 2*i**a - 5*i**5.
-i**3*(i - 1)*(5*i + 2)
Let q be -7 - -6*(-68)/(-56). Suppose -q*i**4 + 8/7*i + 6/7*i**2 - 8/7 - 4/7*i**3 = 0. Calculate i.
-2, 1
Factor 16/3*m + 8/3 + 2/3*m**3 + 10/3*m**2.
2*(m + 1)*(m + 2)**2/3
Let h(y) be the third derivative of y**8/6720 - y**7/2520 + y**4/6 + 2*y**2. Let b(x) be the second derivative of h(x). Factor b(t).
t**2*(t - 1)
Let m = 8 - 4. Suppose 2*n = n + m. Find v such that -5*v**2 - 8*v**3 - 8*v**5 + v**2 - 4 + 8*v**n + 6*v**5 + 10*v = 0.
-1, 1, 2
Let n(y) be the third derivative of y**5/12 + 5*y**4/8 + 5*y**3/3 + 11*y**2. Factor n(c).
5*(c + 1)*(c + 2)
Let m(w) be the third derivative of -4*w**7/105 - 2*w**6/15 + 11*w**5/30 - w**4/4 - 41*w**2. Solve m(j) = 0 for j.
-3, 0, 1/2
Let d be 4/10*-3*5. Let y = 8 + d. Factor -1/2*h**y - 2 + 2*h.
-(h - 2)**2/2
Let o(m) = -m**3 + 10*m**2 - 3. Let c be o(10). Let v(h) = h + 1. Let z(w) = w**2 - 4*w - 3. Let b(y) = c*v(y) - z(y). Determine s so that b(s) = 0.
0, 1
Let m be (-3)/2*(-16)/6. Factor 10*c**2 - 4*c**2 - 6*c**3 + 2*c**3 - 2*c**3 + 2*c**m - 2*c.
2*c*(c - 1)**3
Let i(j) be the second derivative of -j**7/56 - j**6/5 - 33*j**5/40 - 7*j**4/4 - 17*j**3/8 - 3*j**2/2 - 5*j. Factor i(z).
-3*(z + 1)**4*(z + 4)/4
Let n = -86 - -175/2. Let o = -1479 + 1481. Factor 9/4*q + n + 3/4*q**o.
3*(q + 1)*(q + 2)/4
What is d in 2*d - 2*d**4 - 7*d**4 - d**2 + 10*d**4 - 2*d**3 = 0?
-1, 0, 1, 2
Let k(n) be the second derivative of -7*n**7/60 + 7*n**6/45 - n**5/15 - n**3/3 + 2*n. Let j(o) be the second derivative of k(o). Factor j(t).
-2*t*(7*t - 2)**2
Let t be 6*4/(-8) - -3. Let y = -16/7 - -85/28. Factor 3/4*x**2 + 0*x - y*x**3 + t.
-3*x**2*(x - 1)/4
Let t(n) = -n**4 - n. Let d be 1*(-1 + 0)*-14. Let s = -7 - -5. Let z(h) = -6*h**4 - h**3 - h**2 - 6*h. Let a(k) = d*t(k) + s*z(k). Factor a(q).
-2*q*(q - 1)**2*(q + 1)
Let i = -521/11 - 5510/33. Let f = i - -217. Solve 0 - 4/3*o**4 + f*o**3 - 2/3*o + 4/3*o**2 - 2*o**5 = 0 for o.
-1, 0, 1/3, 1
Factor 132*r**3 - 133*r**3 + r + 0*r + r - r**2.
-r*(r - 1)*(r + 2)
Let h(s) be the second derivative of s**7/525 - s**6/75 + s**5/30 - s**4/30 - s**2 - 5*s. Let y(n) be the first derivative of h(n). Factor y(b).
2*b*(b - 2)*(b - 1)**2/5
Factor 7/4*c**3 + 1 - 9/4*c**2 - 3*c.
(c - 2)*(c + 1)*(7*c - 2)/4
Suppose -4*a + 17 = x, -3*x + 40 = 5*a + 2*x. Let z(s) be the first derivative of 1/3*s**2 - 2 + 1/9*s**a + 1/3*s. Factor z(p).
(p + 1)**2/3
Let y(a) be the third derivative of 0*a + 1/160*a**6 + 0 - 5/32*a**4 + 3/8*a**3 + 1/80*a**5 - 2*a**2. Find j, given that y(j) = 0.
-3, 1
Let a(s) be the third derivative of 0*s**4 + 0*s - 1/30*s**5 + 2*s**2 + 1/60*s**6 + 0 + 0*s**3. Factor a(i).
2*i**2*(i - 1)
Let z(y) = 3*y**2 - 33*y. Let g be z(11). What is q in -1/3*q**2 - 2/3*q + g = 0?
-2, 0
Let c(v) be the third derivative of v**8/112 + v**7/35 - v**6/20 - v**5/5 + v**4/8 + v**3 + 50*v**2. Let c(k) = 0. What is k?
-2, -1, 1
Factor -34*d**2 + 15*d**3 + 17*d**2 - 4*d**4 + 4*d + 2*d.
-d*(d - 2)*(d - 1)*(4*d - 3)
Let d(m) be the first derivative of -m**4/20 - 2*m**3/15 + 7*m**2/10 - 4*m/5 + 11. Factor d(p).
-(p - 1)**2*(p + 4)/5
Find c such that -23 + 5*c + 19 - c**2 + 0*c = 0.
1, 4
Let h = 3 - 1. Factor 2*s**3 + s**3 - 2*s**2 - 4*s**h + 3*s.
3*s*(s - 1)**2
Let a(x) be the first derivative of x**5/30 + x**4/4 + 3*x**2/2 + 4. Let v(m) be the second derivative of a(m). Factor v(i).
2*i*(i + 3)
Let n = -62 - -196/3. Factor n*r**2 + 2*r - 4/3.
2*(r + 1)*(5*r - 2)/3
Let i(k) = k**5 - 1. Let c(r) = 6*r**5 - 3*r**4 - 3*r**3 - r**2 - 7. Let x(g) = 4*c(g) - 28*i(g). Suppose x(f) = 0. Calculate f.
-1, 0
Let z(b) be the first derivative of -6 + 3/4*b**4 - 2*b**3 + 0*b + 0*b**2. Find y, given that z(y) = 0.
0, 2
Let n(k) = -k**5 - k**3 + 1. Let v(f) = 14*f**5 + 14*f**4 + 48*f**3 + 44*f**2 + 26*f - 6. Let y(w) = 12*n(w) + v(w). Find s, given that y(s) = 0.
-3, -1
Suppose -1 = -3*n + 11. Suppose 18 = -b + 5*f, -b - 5*f = -0*b - 22. Factor 4 + 2*k**2 + 0 - n*k**b + 2*k.
-2*(k - 2)*(k + 1)
Let z(c) be the third derivative of c**6/20 + c**5/3 + 3*c**4/4 + 2*c**3/3 - 4*c**2. Suppose z(a) = 0. Calculate a.
-2, -1, -1/3
Let w be 1/((-2)/(-18*4)). Suppose -4*u + w = 5*x, 5*u + 5*x = -0*x + 40. What is y in -2/3*y**3 + 0 - 14*y**u + 32/3*y**2 - 8/3*y = 0?
-1, 0, 2/7, 2/3
Let r = -8 + 0. Let s be r/52 - 2/(-13). Let 0*a + s + 0*a**2 - 4/3*a**4 + 0*a**3 - 10/3*a**5 = 0. What is a?
-2/5, 0
Let n = 5/16 + -461/16. Let s = -167/6 - n. Find f such that 8/3*f**2 - s*f - 4*f**3 + 0 + 8/3*f**4 - 2/3*f**5 = 0.
0, 1
Let y be 12/(-10) + 68/40. Factor 1/4*b**2 + y*b + 1/4.
(b + 1)**2/4
Let w be 0 + -2*(-1)/4. Let l = 37/15 + 1/30. What is f in -w*f**3 + 2*f**2 + 1 - l*f = 0?
1, 2
Suppose 12 = -14*b + 18*b. Factor -8/3*r**2 - 5/3*r**b + 2/3 - 1/3*r.
-(r + 1)**2*(5*r - 2)/3
Let k(o) be the second derivative of o + 1/12*o**4 + 1/3*o**3 + 1/2*o**2 + 0. Factor k(x).
(x + 1)**2
Factor -902 - 108*n - 718 + 288*n - 5*n**2.
-5*(n - 18)**2
Let x(k) be the first derivative of 3 + 3*k - 3/5*k**5 + 3/2*k**4 + 0*k**3 - 3*k**2. Let x(m) = 0. What is m?
-1, 1
Let j = 2 + -4. Let f(s) = -s**3 - 8*s**2 + 3*s + 6. Let k(p) = -3*p**3 - 33*p**2 + 12*p + 24. Let o(l) = j*k(l) + 9*f(l). Let o(n) = 0. Calculate n.
-2, -1, 1
Let j(t) be the second derivative of 3*t**5/130 + 2*t**4/39 + t**3/39 + 3*t. Find r, given that j(r) = 0.
-1, -1/3, 0
Let n(d) be the first derivative of -d**4/6 + d**2/3 + 2. Let n(q) = 0. Calculate q.
-1, 0, 1
Let k(a) be the second derivative of 14/3*a**3 - 4/3*a**4 - 6*a + 0 + 4*a**2. Factor k(f).
-4*(f - 2)*(4*f + 1)
Let u(m) be the first derivative of -2*m**3 + 3*m**2 + 4*m - 3. Let t(p) = p. Let s(o) = -8*t(o) + u(o). What is b in s(b) = 0?
-1, 2/3
Let b = 3/4186 + -2875797/20930. Let a = -137 - b. Solve 2/5*i**2 + a*i - 4/5 = 0 for i.
-2, 1
Suppose -3*v + 1 = -8. Let h = 3 + 1. Factor v*i - h*i**2 - i**3 + 2*i**2 - 4*i.
-i*(i + 1)**2
Let n be (1 + 2/6)/(26/78). Let o(h) be the first derivative of 0*h + 7/9*h**3 - 1/3*h**2 - 3 - 7/15*h**5 + 1/6*h**n. Solve o(j) = 0.
-1, 0, 2/7, 1
Let c(y) be the second derivative of -y**6/285 - 11*y**5/95 - 28*y**4/19 - 490*y**3/57 - 343*y**2/19 + 11*y. Solve c(h) = 0.
-7, -1
Let z(o) be the third derivative of o**5/30 - o**4/12 - o**2. Let d(b) = 3*b**2 - 3*b. Let c(i) = 4*d(i) - 7*z(i). Factor c(l).
-2*l*(l - 1)
Let l(a) be the second derivative of a**7/84 + a**6/60 - a**5/20 - 4*a. Factor l(g).
g**3*(g - 1)*(g + 2)/2
Let f(w) be the second derivative of w**9/37800 + w**8/16800 - w**4/6 - 3*w. Let m(b) be the third derivative of f(b). Factor m(s).
2*s**3*(s + 1)/5
Factor 4*z**2 - 66 + 33 - 4*z**3 + 33.
-4*z**2*(z - 1)
Let t = -1 + 1. Suppose 3 = -w + 5. Solve -2*q**3 - q**w + t*q**3 - 2*q + 5*q**2 = 0 for q.
0, 1
Let h(t) = -t - 7. Let x be h(-9). Find u, given that -2/3 + 5/3*u**x + u = 0.
-1, 2/5
Let v = -2 + 5. Let i(d) be the third derivative of 0*d + 1/48*d**4 + 1/120*d**5 + 0 - 1/240*d**6 - d**2 - 1/12*d**v. Find q, given that i(q) = 0.
-1, 1
Let a(c) be the first derivative of -2 + 4*c**2 + 0*c - 4*c**3 + 4/5*c**5 + 0*c**4. What is y in a(y) = 0?
-2, 0, 1
Let u(z) = -2*z**4 - 2*z**3 - 4*z**2 + 2*z. Let o(h) = -3*h**4 - 4*h**3 - 7*h**2 + 4*h. Let q(w) = -3*o(w) + 5*u(w). Suppose q(r) = 0. What is r?
-1, 0, 1, 2
Let s(h) be the second derivative of 2*h**6/15 - h**5/5 - 30*h. Solve s(t) = 0.
0, 1
Factor 6/5 - 3/5*z**2 + 3/5*z.
-3*(z - 2)*(z + 1)/5
Determine x so that 18*x**3 + 5*x**2 - 96*x + 20 - 2*x**3 + 55*x**2 = 0.
-5, 1/4, 1
Let a(g) be the second derivative of -g**8/2240 - g**7/1260 + g**6/240 + g**5/60 + 2*g**4/3 - 2*g. Let c(n) be the third derivative of a(n). Factor c(p).
-(p - 1)*(p + 1)*(3*p + 2)
Determine i so that -2/5*i**2 - 6/5 - 8/5*i = 0.
-3, -1
Let l(z) = z**2 + 6*z. Let f