 47)*(w + 1)**2*(4*w + 1)
Let k = 24322/3 + -8107. Factor 0 + 2/3*r - k*r**3 - 1/3*r**2.
-r*(r - 1)*(r + 2)/3
Let r(w) = 36*w - 17. Let j be r(-3). Let g = j + 127. Let 2/5*c**5 + 0*c + 8/5*c**4 + 0*c**g + 8/5*c**3 + 0 = 0. Calculate c.
-2, 0
Let s(v) be the first derivative of v**6/960 - 3*v**5/160 + 5*v**4/64 + 25*v**3/48 + 7*v**2 + 10. Let a(f) be the second derivative of s(f). Factor a(g).
(g - 5)**2*(g + 1)/8
Find q such that -54/5*q**2 - 24/5 - 3/5*q**4 + 21/5*q**3 + 12*q = 0.
1, 2
Suppose -44*f + 264 = -44*f + 66*f. Factor 0 - 2/3*p**2 + f*p.
-2*p*(p - 6)/3
Let s be (-8)/7*(6 - 7). Let h be 54/(-14) + -17 + 22. Let h - s*g + 2/7*g**2 = 0. What is g?
2
Let v = 26673 - 80015/3. Factor 0 + 4/3*h**2 - 8/3*h**3 - v*h**4 + 8/3*h.
-4*h*(h - 1)*(h + 1)*(h + 2)/3
Let n be (1420/(-140) - -10)/(3/6 - 1). Find o, given that 0*o**2 + n*o**4 + 4/7*o**3 + 0 + 0*o = 0.
-2, 0
Let u = -128 - -131. Let g(k) be the second derivative of -1/21*k**7 + 0*k**4 + 0*k**6 + u*k - 1/3*k**3 + 0*k**2 + 0 + 1/5*k**5. Factor g(p).
-2*p*(p - 1)**2*(p + 1)**2
Let p(k) = -k**2 + 3*k + 6. Let t = 14 + -10. Let b be p(t). Factor -1/2*r + r**b + 0.
r*(2*r - 1)/2
Let l(z) = -4*z**4 - 28*z**3 - 68*z**2 - 36*z - 24. Let w(u) = u**2 - 2*u + 1. Let j(n) = -l(n) - 8*w(n). Suppose j(i) = 0. Calculate i.
-4, -1
Suppose k - 4 = -2. Let h = 7/3 - k. Factor -2/3*m + h + 1/3*m**2.
(m - 1)**2/3
Let d = -735 + 738. Let a(u) be the third derivative of -1/5*u**5 + 0 + 0*u - u**d - 3*u**2 - 9/8*u**4. Factor a(v).
-3*(v + 2)*(4*v + 1)
Factor -53*t**4 + 24*t**2 + 0 - 39*t**2 + 21*t**3 - 21*t - 3 + 71*t**4.
3*(t - 1)*(t + 1)**2*(6*t + 1)
Let m(h) = h**5 + h**4 + h**2 + h. Let y(j) = -5*j**5 + 9*j**4 - 18*j**3 - 11*j**2 + 21*j. Let b(x) = -3*m(x) - y(x). Let b(k) = 0. Calculate k.
-1, 0, 2, 3
Suppose -5*b = 5*l - 20, -2*l + 28 = 23*b - 25*b. Let t(y) be the first derivative of -l - 5/4*y**4 + 1/3*y**3 + 8/5*y**2 + 4/5*y. Find i, given that t(i) = 0.
-2/5, 1
Let y(p) be the first derivative of -4*p**5/5 - p**4 + 16*p**3/3 + 8*p**2 - 110. Factor y(a).
-4*a*(a - 2)*(a + 1)*(a + 2)
Let l(w) be the first derivative of -1 - 3/4*w**2 - 1/24*w**3 - 9/2*w. Suppose l(u) = 0. What is u?
-6
Let r(k) be the first derivative of k**6/39 + 2*k**5/65 - 11*k**4/26 - 58*k**3/39 - 2*k**2 - 16*k/13 - 105. Suppose r(i) = 0. What is i?
-2, -1, 4
Let s be ((464/(-144))/29)/(2/(-12)). Factor 0 - s*h - 1/3*h**3 + h**2.
-h*(h - 2)*(h - 1)/3
Let n be ((6/(-1))/(7 + -27))/9. Let d(s) be the third derivative of 0*s**3 - 5*s**2 + 0*s + 0 + 1/150*s**5 + n*s**4. Let d(i) = 0. What is i?
-2, 0
Factor 0 - 21/4*r**2 - 27/2*r + 3/4*r**3.
3*r*(r - 9)*(r + 2)/4
Let q(b) be the third derivative of -1/75*b**5 + 2/525*b**7 + 0*b**3 + 18*b**2 + 0 - 1/150*b**6 + 1/30*b**4 + 0*b. Factor q(r).
4*r*(r - 1)**2*(r + 1)/5
Suppose 2710 = -21*l + 2752. Factor 1/10*y**l - 2/5*y**3 + 3/10*y**4 + 0*y + 0.
y**2*(y - 1)*(3*y - 1)/10
Suppose 3 = -w + 2. Let z = w - -3. Factor 0 - 9/4*h**z + 3/2*h.
-3*h*(3*h - 2)/4
Let t(v) = 2*v**2 - 4*v - 4. Let d be t(4). Let g(s) = s**3 + 6*s**2 - 4*s - 5. Let f be g(-6). Factor 5*a**2 + d - 36*a + 13*a**2 - 10*a**2 + f*a**2.
3*(3*a - 2)**2
Let -13/4*n + 5/4*n**3 - 1/4*n**4 + 3/4*n**2 - 5/2 = 0. Calculate n.
-1, 2, 5
Let c(w) be the first derivative of 3 - 1/15*w**5 + 1/18*w**4 + 1/45*w**6 + 7*w + 0*w**3 + 0*w**2. Let f(v) be the first derivative of c(v). Factor f(s).
2*s**2*(s - 1)**2/3
Let o(d) be the second derivative of -d**5/4 - 5*d**4/2 - 20*d**3/3 - d - 11. Factor o(v).
-5*v*(v + 2)*(v + 4)
Suppose 7*l = 3*y + 2*l, 0 = -5*y + l. Let d be (1*-2)/(1/(-2)). Find h, given that 3*h + d*h**2 + 5*h + y*h - 4*h = 0.
-1, 0
Let j(w) be the third derivative of w**6/120 - 19*w**5/60 - w**4/24 + 19*w**3/6 + 34*w**2 + 3*w. Factor j(b).
(b - 19)*(b - 1)*(b + 1)
Suppose 2*i + 4*u = -22 + 14, -3*u - 4 = 2*i. Factor 0*o**2 - o**i + 0*o + o**3 + 0 + 1/4*o**5.
o**3*(o - 2)**2/4
Factor 2/7*f**3 + 0*f + 0 - 4/7*f**2.
2*f**2*(f - 2)/7
Let y = -22 - -30. Let f(a) = -10*a**2 - 38*a + 20. Let b(g) = -7*g**2 - 25*g + 13. Let k(q) = y*b(q) - 5*f(q). Suppose k(h) = 0. What is h?
-2, 1/3
Factor 17*m**2 + 5*m**3 + m**4 + 11*m**2 - 15*m**2 - 9*m**2.
m**2*(m + 1)*(m + 4)
Let i(t) = -t**2 - 85*t + 92. Let k(l) = l**2 + 57*l - 61. Let u(f) = 5*i(f) + 7*k(f). Let r be u(12). Find x, given that 15/2*x**2 + 3/2 - r*x = 0.
1/5, 1
Let q(p) be the second derivative of 0 + 1/5*p**6 + 0*p**3 + 0*p**2 + 0*p**4 - 1/14*p**7 - 3/20*p**5 + 3*p. Find g, given that q(g) = 0.
0, 1
Let s be (-10305)/126 - (9/(-7) - -1). Let r = s - -1471/18. Factor 0 - 2/9*x - r*x**2.
-2*x*(x + 1)/9
Let a(o) be the first derivative of 27*o**5/20 - 21*o**4/4 + 61*o**3/12 - o - 334. Find m, given that a(m) = 0.
-2/9, 1/3, 1, 2
Let g(u) be the third derivative of 0*u**5 - 5/336*u**8 - 5/42*u**7 - 1/6*u**6 + 0*u + 0 - 19*u**2 + 0*u**3 + 0*u**4. Factor g(t).
-5*t**3*(t + 1)*(t + 4)
Let m(o) = o - 2. Let i be m(-9). Let x be (2 + 0)/(i/(-22)). Suppose -5*w**4 - w**2 + 2*w**x + 4*w**4 + 5*w**5 + 12*w**4 + 9*w**3 - 2*w = 0. What is w?
-1, 0, 2/5
Let a(h) = -h**2 + 24*h - 138. Let f be a(10). Find t such that -1/5 - 3/5*t**f + 3/5*t + 1/5*t**3 = 0.
1
Let i(u) be the third derivative of -u**6/160 - 3*u**5/80 + 3*u**4/4 - 7*u**3/2 - 30*u**2 + u. Find r, given that i(r) = 0.
-7, 2
Let v be 82/(-60) - (-12)/8. Let g(a) be the second derivative of -1/20*a**5 + 0*a**2 - 2/15*a**4 - v*a**3 - 1/150*a**6 + 5*a + 0. Factor g(z).
-z*(z + 1)*(z + 2)**2/5
What is x in -1/2*x**3 + 0 + 3/2*x**4 + 0*x - x**2 = 0?
-2/3, 0, 1
Let l(p) = 5*p**2 + 10*p. Let u(m) = 2*m**2 + 7*m. Let r(s) = 3*l(s) - 5*u(s). Suppose r(w) = 0. Calculate w.
0, 1
Let p(o) = -10*o**3 - o**2 + 89*o + 111. Suppose 5*h - 2*h = -27. Let u(b) = -5*b**3 - b**2 + 44*b + 56. Let n(s) = h*u(s) + 4*p(s). Factor n(d).
5*(d - 3)*(d + 2)**2
Find o, given that 584*o**4 - 52*o**5 + 676*o**4 - 26*o**5 - 3920*o**2 - 256 - 1920*o - 800*o**3 - 118*o**5 = 0.
-1, -2/7, 4
Let d(f) be the second derivative of 5*f**7/112 + 33*f**6/80 + 219*f**5/160 + 63*f**4/32 + 9*f**3/8 + f. Let d(c) = 0. What is c?
-3, -2, -1, -3/5, 0
Let p = -479 + 481. Let j(a) be the first derivative of 4/3*a**3 + 12*a + 10*a**p - a**4 + 8. Factor j(o).
-4*(o - 3)*(o + 1)**2
Let m be (-6*(19/9 - 2))/(-4). Let t(h) be the first derivative of 0*h + 1/5*h**5 + 0*h**3 + 3 + 0*h**2 - m*h**6 + 0*h**4. Factor t(u).
-u**4*(u - 1)
Solve -9 + 3*n**2 - 36*n + 9 - 32*n - n**2 = 0 for n.
0, 34
Suppose 1 = 3*j - 11. Let d(s) be the second derivative of 0 - 2/3*s**2 + 1/9*s**4 - 1/9*s**3 + 1/30*s**5 + j*s. Factor d(n).
2*(n - 1)*(n + 1)*(n + 2)/3
Factor 106*u**3 - 120*u**2 - 101*u**3 + 110*u**2 + 15*u**4.
5*u**2*(u + 1)*(3*u - 2)
Find d such that 27/5*d**4 - 5*d**2 - 2/5 + 2*d**5 + d**3 - 3*d = 0.
-2, -1, -1/2, -1/5, 1
Let v(r) be the second derivative of -r**5/30 - 5*r**4/18 - 4*r**3/9 - 11*r + 8. Factor v(y).
-2*y*(y + 1)*(y + 4)/3
Let g(p) be the second derivative of -p**6/45 + 3*p**5/10 - 5*p**4/3 + 44*p**3/9 - 8*p**2 + 46*p - 2. Factor g(j).
-2*(j - 3)*(j - 2)**3/3
Suppose 2*c + c = 12*c. Let z(o) be the first derivative of 4 + o**3 - 3/2*o**2 + c*o. Solve z(f) = 0.
0, 1
Let u = 49 - 46. Factor l**4 + 0*l**2 + 6*l**5 - 5*l**u + 2*l**2 - 5*l**5 + l**5.
l**2*(l - 1)*(l + 2)*(2*l - 1)
Let y be (3 - (-145)/(-45)) + (-58)/(-18). Let s be (y/6)/(6 + (-30)/12). Factor 3/7*r + 2/7 - s*r**2 - 3/7*r**3 - 1/7*r**4.
-(r - 1)*(r + 1)**2*(r + 2)/7
What is f in -6/7 - 1/7*f**2 - f = 0?
-6, -1
Let r(l) be the second derivative of l**9/90720 - l**7/15120 - 11*l**4/12 - 4*l. Let d(c) be the third derivative of r(c). Suppose d(y) = 0. What is y?
-1, 0, 1
Let w be (3 - (-221)/(-78))/(2/60). Factor -15/4*o**3 + 15/8*o**4 + 3/8 - 3/8*o**w - 15/8*o + 15/4*o**2.
-3*(o - 1)**5/8
Factor -3*a**2 + 20 - 7072*a + 8*a**2 + 7052*a.
5*(a - 2)**2
Suppose -6*r**4 + 48/5*r**2 + 96/5*r + 18/5*r**5 - 64/5*r**3 + 32/5 = 0. Calculate r.
-1, -2/3, 2
Let f be 5*(966/840 + (-6)/8). Find k, given that 2/3*k + 4/9 + 2/9*k**f = 0.
-2, -1
Suppose -4*x = 6*x - 20. Determine j, given that -j**2 + 6*j**2 - 10*j**x - 12*j + 2*j = 0.
-2, 0
Let c(b) be the second derivative of -b**4/4 + 12*b**3 + 75*b**2/2 + 2*b + 135. Solve c(k) = 0 for k.
-1, 25
Suppose -107 = -9*y + 37. Suppose 0 = -y*w + 16 + 32. Suppose -10/3*v**4 + 14/3*v**2 - 2*