be the first derivative of 0*y - 1/6*y**3 + 0*y**2 - 1 - 1/40*y**5 - o*y**4. Factor p(r).
-r**2*(r + 2)**2/8
Suppose -3*k + 2 = -4. Factor -u**2 + 2*u**k + 64*u**3 - 63*u**3.
u**2*(u + 1)
Let h(r) be the third derivative of 5*r**8/1008 - 13*r**7/126 + 33*r**2 - 8. Determine a, given that h(a) = 0.
0, 13
Let i(m) = -m**3 - 7*m + 4. Let h(l) = 5*l**2 + 1. Let s be h(-2). Let j(x) = -6*x**3 - 36*x + 21. Let w(f) = s*i(f) - 4*j(f). Let w(r) = 0. What is r?
-1, 0, 1
Find g such that 3*g + 6/5*g**2 - 36/5 = 0.
-4, 3/2
Suppose -4*s - 3 = -19, -2*g - 4*s = -4. Let o be 4*g/(-72) + 4. Find y, given that -y**3 - 16/3*y - 4/3 - o*y**2 = 0.
-2, -1/3
Let y(g) be the second derivative of -2/3*g**4 + 0 + 22*g - g**2 - 3/20*g**5 - 7/6*g**3. Find w, given that y(w) = 0.
-1, -2/3
Suppose -7*u = -4*u + 3, -5*y + 3*u = -3. Suppose 3*d + 2*d - 10 = y. Factor 0*b**d - 2*b**3 + b**4 - b**2 + 2*b**2.
b**2*(b - 1)**2
Let p(a) be the third derivative of a**6/90 + 28*a**5/45 + 35*a**2. Factor p(v).
4*v**2*(v + 28)/3
Let c = -2/241 + 245/482. Let p(m) be the first derivative of c*m**2 + 0*m + 1/2*m**3 - 1/10*m**5 - 2 + 0*m**4. Solve p(y) = 0 for y.
-1, 0, 2
Let i be 18/(-8)*((-25)/(-15) + -2). Suppose 0 = -3*j - c - c - 1, 4*j + 2*c = 0. Solve -j - v**3 - i*v**4 + 7/4*v**2 + v = 0 for v.
-2, -1, 2/3, 1
Let f(b) be the second derivative of b**7/315 - 8*b**6/225 + 2*b**5/75 + 8*b**4/15 + 667*b. Find c, given that f(c) = 0.
-2, 0, 4, 6
Let u = 3003/40 + -8449/120. Factor -2/3*i**2 + u*i - 20/3.
-2*(i - 5)*(i - 2)/3
Let p be 5 - (-2 - (-6)/12). Let z = -2 + p. Solve 3*x**3 + 3/2*x**5 + 0*x**2 - z*x**4 + 0*x + 0 = 0 for x.
0, 1, 2
Let o(c) be the third derivative of 0*c**3 + 0 + 1/660*c**6 + 1/330*c**5 - 1/1155*c**7 + 10*c**2 - 1/132*c**4 + 0*c. Factor o(p).
-2*p*(p - 1)**2*(p + 1)/11
Let g(r) be the second derivative of 5*r**7/42 + r**6/6 - 5*r**5/4 - 25*r**4/12 + 10*r**3/3 + 10*r**2 - 151*r. Let g(m) = 0. What is m?
-2, -1, 1, 2
Let o(w) be the third derivative of 0 - 9/10*w**5 + 0*w + 5/2*w**4 - 1/70*w**7 - 12*w**2 + 7/40*w**6 - 4*w**3. Factor o(s).
-3*(s - 2)**3*(s - 1)
Let -9 - 1/8*f**4 - 3/8*f**3 - 33/8*f + 37/8*f**2 = 0. Calculate f.
-8, -1, 3
Suppose -248*q + 95*q = -306. Factor -4/7*m**3 - 4/7 - 16/7*m**2 + 2/7*m**5 + 4/7*m**4 - q*m.
2*(m - 2)*(m + 1)**4/7
Let u = -5492 - -16477/3. Suppose 0 - 4/3*c**2 - u*c**3 - c = 0. What is c?
-3, -1, 0
Let z(v) be the first derivative of v**5/300 - v**4/60 + v**3/30 - 23*v**2/2 - 16. Let q(j) be the second derivative of z(j). Find h such that q(h) = 0.
1
Let y = 127/51 + -5/68. Let i = -7/4 + y. Find k such that 0*k - 2/9*k**4 - i*k**3 - 4/9*k**2 + 0 = 0.
-2, -1, 0
Suppose 4*v - x = 24 + 199, 225 = 4*v + x. Let f be (-1)/4 + 294/v. Find y, given that -46*y**3 - 51*y**4 - 15*y**f - 6*y - 21*y**3 - 33*y**2 + 4*y**3 = 0.
-1, -2/5, 0
Let s be (18/(-12))/((-3)/6). Let c(n) be the third derivative of 0*n - 1/10*n**5 + 3*n**2 + 0*n**s - 1/6*n**4 + 0 - 1/60*n**6. Factor c(y).
-2*y*(y + 1)*(y + 2)
Let k(a) be the second derivative of 2*a**7/105 + 17*a**6/25 + 31*a**5/5 - 22*a**4/3 - 104*a**3/5 + 169*a**2/5 - 86*a. Solve k(j) = 0.
-13, -1, 1/2, 1
Suppose 2*m + 2*m = 0. Let h be (3 - (-3 - -5))/(2/22). Determine x so that -h - 67 + m*x**2 - 40*x - 22 - 4*x**2 = 0.
-5
Let u(g) be the second derivative of g**8/2688 - g**6/960 - g**2 + 13*g. Let t(f) be the first derivative of u(f). Factor t(x).
x**3*(x - 1)*(x + 1)/8
Let u(x) = -2*x**2 + 2*x. Let g(z) = 5*z**3 - 10*z**2 + 60*z. Let m(o) = g(o) - 30*u(o). Factor m(i).
5*i**2*(i + 10)
Let p(z) = -4 - 12*z**2 + 13*z**2 - 1 + 32*z + 12*z**2. Let n(q) = 7*q**2 + 16*q - 3. Let t(k) = -5*n(k) + 3*p(k). Let t(v) = 0. What is v?
-4, 0
Let o(r) be the second derivative of 9*r + 1/9*r**4 + 2/15*r**2 + 0 - 1/5*r**3 - 1/50*r**5. Let o(j) = 0. Calculate j.
1/3, 1, 2
Let u be 1/4*131 + (4 - 3). Let s(k) be the first derivative of 49/2*k**6 - 28*k**3 - u*k**4 + 84/5*k**5 + 0*k + 5 - 6*k**2. Find l such that s(l) = 0.
-1, -2/7, 0, 1
Factor -2/19*v**2 - 36/19 + 18/19*v.
-2*(v - 6)*(v - 3)/19
Let a = 61 - 35. Suppose 2*p + 17 = 4*p - 5*h, -2*h - a = -4*p. Factor p*f - 4 + 6*f**2 - 8*f + 0*f.
2*(f - 1)*(3*f + 2)
Let j(r) be the third derivative of 0*r + 7/40*r**6 - 51/20*r**5 + 7*r**4 - 6*r**3 + 0 + 3*r**2. Factor j(l).
3*(l - 6)*(l - 1)*(7*l - 2)
Let t(n) be the second derivative of 5*n**4/18 + 2*n**3/9 + 167*n. Factor t(x).
2*x*(5*x + 2)/3
Let k = 135 - 132. Find p, given that 2/17*p + 2/17 - 2/17*p**k - 2/17*p**2 = 0.
-1, 1
Suppose 5*w - 13 = 2. Find z, given that -w + 61*z + 0*z**2 - z**2 - 25*z - 32*z = 0.
1, 3
Let p(s) be the first derivative of 5/3*s**3 - s - 1/2*s**2 - 3/4*s**4 + 43. Let p(f) = 0. What is f?
-1/3, 1
Let m(w) = 702*w - 7016. Let o be m(10). Factor 0*a + 21/4*a**o + 0 + 27/4*a**3 + 3/2*a**2.
3*a**2*(a + 1)*(7*a + 2)/4
Suppose -13*v + 101 = 101. Suppose 84/5*s**4 + v*s**2 + 147/5*s**5 + 0 + 12/5*s**3 + 0*s = 0. What is s?
-2/7, 0
Let l(o) = -18*o**2 + 549*o - 9248. Let n(x) = 44*x**2 - 1372*x + 23120. Let g(s) = -12*l(s) - 5*n(s). Factor g(v).
-4*(v - 34)**2
Let s be (-45)/(-50)*((-10)/(-30) - -1). Factor 8/5 - 6/5*z**3 - 2*z**2 + s*z + 2/5*z**4.
2*(z - 4)*(z - 1)*(z + 1)**2/5
Let s be (20/(-50))/((-2)/10). Let u be (-1 + 0 + s/4)*0. Factor u*o**2 + 3/5*o**3 - 3/5*o + 0.
3*o*(o - 1)*(o + 1)/5
Let n(x) be the first derivative of -675*x**5/8 - 22275*x**4/32 - 4515*x**3/2 - 3577*x**2 - 2744*x - 345. What is f in n(f) = 0?
-28/15, -1
Let x(g) be the first derivative of -1/4*g**4 + 17 + 0*g**3 - 2*g + 3/2*g**2. Let x(v) = 0. What is v?
-2, 1
Suppose 5*i + w - 7 = -19, 12 = -i - 5*w. Let z be (-275)/(-170) - i/(-17). Factor z*u**2 - 3/8 - 9/8*u.
3*(u - 1)*(4*u + 1)/8
Let z = 20429/12 + -6799/4. Factor 2/3*x**2 + 8/3 - z*x.
2*(x - 2)**2/3
Let y(j) be the first derivative of -5*j**3/6 - 47*j**2/8 + 15*j/4 - 583. Factor y(l).
-(l + 5)*(10*l - 3)/4
Suppose -3*u - u - 4*t = 68, 0 = -3*u - t - 57. Let a be (24/(-60))/(2/u). Find z, given that -a*z + 30*z**2 - 29*z**2 + 3*z = 0.
0, 1
Let d(x) = x**3 + 12*x**2 + 21*x + 21. Let z be d(-10). Determine c so that -14*c - z*c + 0*c - 15 + 10*c**2 = 0.
-1/2, 3
Let t be (-18)/(-6)*(-3)/((-9)/5). Let k(f) be the second derivative of 3/10*f**3 + 1/50*f**6 - 3/5*f**2 + 1/20*f**4 - 9/100*f**5 + t*f + 0. Factor k(p).
3*(p - 2)*(p - 1)**2*(p + 1)/5
Solve -84/13*d + 16/13 - 14/13*d**4 + 106/13*d**2 - 24/13*d**3 = 0 for d.
-4, 2/7, 1
Let h(b) be the third derivative of b**5/12 - 10*b**3/3 - 2*b**2 + 38. Factor h(z).
5*(z - 2)*(z + 2)
Factor -82/13*j**2 + 2/13 - 80/13*j.
-2*(j + 1)*(41*j - 1)/13
Let k(h) be the first derivative of -9*h**6/2 - 12*h**5 - 3*h**4 - 290. Factor k(v).
-3*v**3*(v + 2)*(9*v + 2)
Let b(x) = -32*x + 88. Let d be b(3). Let k be (d/6)/(1378/(-159)). Factor 0*w - k + 2/13*w**2.
2*(w - 1)*(w + 1)/13
Let l(v) = -11*v**2 - 121*v + 1090. Let x(p) = 3*p**2 + 40*p - 363. Let i(k) = 2*l(k) + 7*x(k). Suppose i(n) = 0. Calculate n.
19
Let g(l) = l**2 + 5*l. Let p(d) = d**2 + 4*d - 1. Let j(m) = -5*g(m) + 6*p(m). Factor j(q).
(q - 3)*(q + 2)
Suppose 115 = 3*t - 2*n, -4*t + 117 = -5*n - 48. Let h be 33/(-33) + t/19. Factor -48/19*q**2 + 0 - h*q**4 + 18/19*q + 44/19*q**3 + 2/19*q**5.
2*q*(q - 3)**2*(q - 1)**2/19
Let h(p) be the second derivative of -p**6/315 + p**5/105 + 2*p**4/7 + 88*p**3/63 + 64*p**2/21 - 77*p. Factor h(c).
-2*(c - 8)*(c + 2)**3/21
Suppose -6*y + y = -2*y. Suppose -3*v + 3*x + 6 = y, 5*x + 0*x - 10 = -5*v. Factor 3/4*u**v + 3/4*u + 0.
3*u*(u + 1)/4
Let r be (-9920)/45 + 4/6 + 0. Let l = 220 + r. Factor 0*n**2 + l*n**3 + 4/9 - 2/3*n.
2*(n - 1)**2*(n + 2)/9
Let q be (6/(-5))/(3/(45/(-6))). Let -9*v**q - 40 + 14*v**3 - 15*v + 50 = 0. What is v?
-2, 1
Let b be -3 - (2 + 78/(-2)). Let k = b + -34. Factor -6/5*j**2 + 3/5*j + 3/5*j**3 + k.
3*j*(j - 1)**2/5
Let w(b) = b**3 - 8*b**2 + 8. Let z be w(8). Let t be -1 + z - (-1 - -2). Factor 0*g**3 + t*g**4 - 3*g**3 + 6*g**4 - 9*g**4.
3*g**3*(g - 1)
Find w such that -9/2*w**4 + 45/4*w - 27/2 - 3/4*w**5 - 9/2*w**3 + 12*w**2 = 0.
-3, -2, 1
Let t = -45 + 48. Suppose t*n**4 - 3*n + 0*n**2 + 9*n**3 - 3*n**2 - 6*n = 0. What is n?
-3, -1, 0, 1
Let l(d) be the third derivative of -d**2 - 1/240*d**6 + 6 + 0*d**5 + 1/48*d**4 + 0*d**3 + 0*d. What is c in l(c) = 0?
-1, 0, 1
Let b = 150 - 148. Let w(q) be the fi