*(r - 1)**2
Let a = -7 - -18. Let r = a + -8. Factor 8*k**r + 0*k**5 + k**5 - 9*k**3.
k**3*(k - 1)*(k + 1)
Suppose 0 = -3*d + h + 43, -d + 2*h = 3*h - 13. Suppose -5*t + 7*t - 4*o - 20 = 0, -3*t + d = -2*o. Let 0 + 2/5*m - 2/5*m**t = 0. Calculate m.
0, 1
Let b(w) be the third derivative of 27*w**6/50 + 39*w**5/25 + 4*w**4/3 + 8*w**3/15 + 13*w**2. Solve b(c) = 0 for c.
-1, -2/9
Let y = -11 + 13. Let h be 6/y + (-13)/5. Find b, given that 4/5*b - 2/5*b**2 - h = 0.
1
Let n(w) be the second derivative of -w**4/21 + w**3/6 + w**2/7 + w. Solve n(b) = 0.
-1/4, 2
Let c(n) be the third derivative of n**8/100800 + n**7/8400 + n**6/1800 - n**5/10 - 4*n**2. Let g(p) be the third derivative of c(p). Let g(w) = 0. What is w?
-2, -1
Let k(v) = -5*v**4 - 10*v**3 + 11*v**2 - 2*v - 6. Let w(l) = -4*l**4 - 9*l**3 + 10*l**2 - 2*l - 5. Let s(g) = -5*k(g) + 6*w(g). Suppose s(u) = 0. Calculate u.
0, 1, 2
Let t(y) be the second derivative of -y**6/105 + y**4/42 + 11*y. Factor t(q).
-2*q**2*(q - 1)*(q + 1)/7
Let c be 175/(-70)*(-1 + (-2)/10). Factor -8*a**4 - 1/2 + c*a - 12*a**3 - 1/2*a**2.
-(a + 1)**2*(4*a - 1)**2/2
Suppose 3*j - 6 = -3*t, 0*t = 2*j + t - 6. Let q be (14 + -19)*j/(-50). Determine h so that -2/5 - 4/5*h**3 + 0*h**2 + 4/5*h + q*h**4 = 0.
-1, 1
Let q(g) = 4*g - 36. Let i be q(9). Factor -2/5*l + 1/5 + 2/5*l**3 + i*l**2 - 1/5*l**4.
-(l - 1)**3*(l + 1)/5
Suppose -3/5*p**5 + 0 + 0*p**2 + 24/5*p**3 - 48/5*p + 0*p**4 = 0. What is p?
-2, 0, 2
Let b = -265 - -265. Factor -2/7*y**4 + 0 + 0*y**2 + b*y + 2/7*y**3.
-2*y**3*(y - 1)/7
Let b = -36/5 + 149/20. Factor -3/4*o - b*o**2 + 0.
-o*(o + 3)/4
Let h = 67 + -65. Let p(b) be the first derivative of -1/2*b**h - 3 - 1/2*b - 1/6*b**3. Let p(q) = 0. What is q?
-1
Let d(b) = -b**2 + 6*b - 2. Let n be d(5). Factor -3*f**3 - 17 + 17 + n*f.
-3*f*(f - 1)*(f + 1)
Let q = 18 + -27. Let b be (q/(-6))/(9/30). Factor 1/4*v**b + 5/4*v + 5/2*v**3 - 5/2*v**2 - 5/4*v**4 - 1/4.
(v - 1)**5/4
Let i(z) = 4*z**3 - 15*z + 5. Let l(p) = -12*p**3 + 44*p - 16. Let r(m) = -8*i(m) - 3*l(m). Factor r(c).
4*(c - 1)**2*(c + 2)
Factor 0 - 1/5*h**2 - 2/5*h + 1/5*h**3.
h*(h - 2)*(h + 1)/5
What is s in 8/5*s**3 - 2/5*s**4 + 6/5 - 8/5*s - 4/5*s**2 = 0?
-1, 1, 3
Let z = -389 + 2733/7. Factor 2*p**2 - z*p - 4/7.
2*(p - 1)*(7*p + 2)/7
Let z be (3 + -6 - 0) + (-23)/(-7). Factor -z*d + 2/7*d**2 + 0.
2*d*(d - 1)/7
Let i(l) be the third derivative of 0*l + 1/105*l**5 + 0 - 1/14*l**4 + 0*l**3 + 8*l**2. Suppose i(z) = 0. Calculate z.
0, 3
Suppose 3*y - y = 5*a - 15, 2*y + 2*a = 6. Suppose 0*o**2 - 2*o**2 + y + 2 = 0. Calculate o.
-1, 1
Let k(g) be the first derivative of -3/4*g**2 + 10 - g - 1/6*g**3. Factor k(v).
-(v + 1)*(v + 2)/2
Let v(f) be the first derivative of -3*f**4/20 + 3*f**2/10 - 46. Factor v(j).
-3*j*(j - 1)*(j + 1)/5
Suppose 10 = -j + 8. Let x be j/(-13) + (-24)/(-13). Factor 4/7 - 4/7*l**x + 2/7*l**3 - 2/7*l.
2*(l - 2)*(l - 1)*(l + 1)/7
Factor -4*f**2 - 1 + 6*f + 5 + 3*f**2 + 3*f**2.
2*(f + 1)*(f + 2)
Let r(m) = -m**4 - 5*m**3 + 2*m - 2. Let z(u) = -u**3 - 1. Let t be (-3 + (16 - -1))/(-2). Let w = -10 - t. Let v(j) = w*z(j) + r(j). Solve v(o) = 0 for o.
-1, 1
Let a(z) be the second derivative of z**5/80 + z**4/32 - z**3/4 - z**2/2 - z. Let n(g) be the first derivative of a(g). Factor n(c).
3*(c - 1)*(c + 2)/4
Let y(x) be the third derivative of x**7/840 - x**6/160 + x**5/120 - 23*x**2. Factor y(v).
v**2*(v - 2)*(v - 1)/4
Suppose 24 = 2*k + 2*k. Let i(z) be the first derivative of -6/5*z**5 + 0*z**2 + 1 + 0*z - 2/3*z**3 - 3/2*z**4 - 1/3*z**k. Find j, given that i(j) = 0.
-1, 0
Let b = 20 - 20. Let -1/2*d + b - 1/2*d**3 + d**2 = 0. What is d?
0, 1
Let u(k) be the first derivative of k**5/25 - k**4/20 - 4*k**3/5 - 2*k**2/5 + 16*k/5 + 37. Factor u(z).
(z - 4)*(z - 1)*(z + 2)**2/5
Let q(g) be the third derivative of 0 + 1/12*g**4 + 3*g**2 - 1/60*g**6 + 0*g + 0*g**3 + 0*g**5. Find f, given that q(f) = 0.
-1, 0, 1
Suppose -3*o - 24*v + 9 = -27*v, 3*v = -3. Factor 3/2*u**4 + 0 + 0*u + u**o - 5/2*u**3.
u**2*(u - 1)*(3*u - 2)/2
Factor 1/2*l**2 - 1/2*l + 0.
l*(l - 1)/2
Let x = -877/4 - -223. Factor 3/2 + x*b - 75/4*b**2.
-3*(5*b - 2)*(5*b + 1)/4
Let o(s) be the second derivative of -s**7/126 - s**6/18 - 3*s**5/20 - 7*s**4/36 - s**3/9 - 20*s. Factor o(f).
-f*(f + 1)**3*(f + 2)/3
Factor 2/9*g**4 + 0*g**3 + 0 + 0*g + 0*g**2.
2*g**4/9
Let t(x) be the first derivative of -x**4/6 - x**3 - x**2/2 + 4*x/3 + 29. Factor t(r).
-(r + 1)*(r + 4)*(2*r - 1)/3
Suppose -4*q = 3*l - 450, -5*q - 159 = -4*l + 441. Let w be l/54 + (-4)/(-18). Factor 2*n + 2 + 2*n**2 - 3 + w - 6.
2*(n - 1)*(n + 2)
Factor 4*w**2 + 79*w**3 - 88*w**3 - 6*w - 12*w**2 - 7*w**2.
-3*w*(w + 1)*(3*w + 2)
Let u(l) be the second derivative of -3/2*l**3 - 3*l + 0 + 1/4*l**4 + 3*l**2. Suppose u(j) = 0. What is j?
1, 2
Find x such that -70/13*x**3 - 8/13*x - 22/13*x**4 - 56/13*x**2 + 0 = 0.
-2, -1, -2/11, 0
Factor -2/7*d**3 - 2/7*d**2 + 2/7*d + 2/7.
-2*(d - 1)*(d + 1)**2/7
Let f(n) be the second derivative of -n**7/315 + n**6/45 - 7*n**5/150 + n**4/30 + 13*n. Solve f(s) = 0.
0, 1, 3
Let -2*k + 0*k**2 + 0 + 1/2*k**3 = 0. What is k?
-2, 0, 2
Let d(q) be the second derivative of 9/10*q**2 - 9*q + 0 - 1/5*q**3 + 1/60*q**4. Let d(z) = 0. Calculate z.
3
Let s = 537/115 - 66/23. Solve s*k**2 - 3/5*k**3 + 6/5 - 3/5*k**4 + 3*k = 0 for k.
-1, 2
Let z be (-47)/(-2) - 12/(-8). Suppose -z = -w - 4*w. Factor w*q**3 + 5*q**3 + q**2 + 3*q**2 + 2*q**2 - 4*q.
2*q*(q + 1)*(5*q - 2)
Let b(i) be the third derivative of 7*i**6/900 + i**5/225 - 7*i**4/180 - 2*i**3/45 + 11*i**2. Determine n so that b(n) = 0.
-1, -2/7, 1
Let g(o) be the second derivative of 2*o**7/21 + 4*o**6/5 + o**5 - 16*o. Factor g(i).
4*i**3*(i + 1)*(i + 5)
Let f(c) = c**4 + 9*c**3 - 35*c**2 - 37*c - 18. Let q(d) = 4*d - 29*d + 7*d**3 + d**4 - 23*d**2 - 2 - d**3 - 10. Let w(y) = 5*f(y) - 8*q(y). Factor w(n).
-3*(n - 2)*(n + 1)**3
Let s(q) be the third derivative of q**6/24 - 3*q**5/2 + 45*q**4/2 - 180*q**3 + 2*q**2. Solve s(u) = 0 for u.
6
Let i be 16/(-24)*(-9)/6. Let u(l) be the first derivative of 0*l + 1/2*l**2 + 1/3*l**3 + i. Factor u(b).
b*(b + 1)
Let g = -21 + 21. Find u such that 0 + g*u - 1/4*u**4 + 1/4*u**3 + 0*u**2 = 0.
0, 1
Let x be 80/36 - 4/18. Determine c, given that -2 - 7*c**2 + 0*c - 7*c - x*c = 0.
-1, -2/7
Let j = 9 - 5. Suppose 1 + 7 = j*m. Let o(n) = 8*n**2 - 32*n + 32. Let s(y) = -2*y**2 + 8*y - 8. Let i(u) = m*o(u) + 9*s(u). Factor i(h).
-2*(h - 2)**2
Let i(x) be the third derivative of x**5/180 - x**3/18 - 5*x**2. Factor i(o).
(o - 1)*(o + 1)/3
Let a = 440 - 437. What is i in -4/3*i + 50/3*i**2 - 8/3 + 25/3*i**a = 0?
-2, -2/5, 2/5
Let j(p) be the third derivative of -3*p**8/560 + p**7/25 - 13*p**6/100 + 6*p**5/25 - 11*p**4/40 + p**3/5 + 24*p**2. Let j(x) = 0. Calculate x.
2/3, 1
Let k(x) be the third derivative of x**8/224 + x**7/140 - 3*x**6/80 - x**5/40 + x**4/8 + 16*x**2. Find l such that k(l) = 0.
-2, -1, 0, 1
Let z(r) be the second derivative of r**6/45 + 17*r**5/60 + 10*r**4/9 + 8*r**3/9 + 2*r + 5. Suppose z(w) = 0. What is w?
-4, -1/2, 0
Suppose a = -3*a. Let b = 3 + a. Factor -y**3 - 2*y**5 - y**b + 4*y**4 + 0*y**3.
-2*y**3*(y - 1)**2
Let p be (4 - 3) + 33/(-36). Let i(h) be the first derivative of 4 - 1/8*h**2 + 1/2*h - p*h**3. Let i(z) = 0. What is z?
-2, 1
Factor 11 + 9 - 316*q + 10*q**2 - 5*q**3 + 351*q.
-5*(q - 4)*(q + 1)**2
Let q(r) = 3*r + 26. Let p be q(-8). Determine x so that 0 - 3/2*x**3 + 3*x**p - 3/2*x = 0.
0, 1
Suppose 6/5*w**2 + 3/5*w**3 + 0 - 3/5*w**4 + 0*w = 0. What is w?
-1, 0, 2
Let a(i) be the first derivative of -i**4/16 + i**3/6 + i**2/8 - i/2 + 27. Factor a(h).
-(h - 2)*(h - 1)*(h + 1)/4
Let o = -661/6 + 111. Let m = -1/3 + o. Let -m - j - 1/2*j**2 = 0. Calculate j.
-1
Let f = 5071 + -207935/41. Let w = f + 332/287. Factor 2/7*a**4 - 2/7*a - 4/7*a**2 - 2/7*a**5 + w*a**3 + 2/7.
-2*(a - 1)**3*(a + 1)**2/7
Let n(v) be the third derivative of v**5/15 + v**4/2 + 19*v**2. Factor n(g).
4*g*(g + 3)
Let t(r) be the second derivative of -r**6/300 - r**5/150 - 7*r**2/2 + 10*r. Let p(w) be the first derivative of t(w). Factor p(c).
-2*c**2*(c + 1)/5
Let a = 12/13 + -8/65. Let g be 4*2/(-40)*-2. Factor 0*w + 0 - g*w**4 + a*w**3 - 2/5*w**2.
-2*w**2*(w - 1)**2/5
Let v be 0/(6/(-9)*18/12). Factor -2/9*z**2 + 2/9*z 