p(d) = -d**2 + d. Let m = -23 + 27. Let s(x) = m*p(x) - n(x). Factor s(i).
4*i*(i - 3)
Let k(o) be the first derivative of -o**2 - 1/6*o**4 + 0*o - 2/15*o**5 + 22 + 10/9*o**3. Suppose k(z) = 0. Calculate z.
-3, 0, 1
Let l(p) be the second derivative of -p**7/105 - p**6/30 + p**5/10 + p**4/3 - 4*p**3/3 - 7*p**2/2 - 7*p. Let c(a) be the first derivative of l(a). Factor c(w).
-2*(w - 1)**2*(w + 2)**2
Let o(m) be the first derivative of -m**6/21 - 86*m**5/35 - 439*m**4/14 + 1054*m**3/21 + 440*m**2/7 - 968*m/7 - 326. Let o(t) = 0. What is t?
-22, -1, 1
Let y(a) = 4*a**3 + 3*a + 3*a**2 - 5*a**3 - 2*a**2. Let d(s) = -s**3 - s**2 - s. Let m = -117 - -116. Let n(j) = m*y(j) - d(j). Let n(b) = 0. What is b?
-1, 0, 1
Let -2/7*t**3 + 2/7*t + 46/7*t**2 - 46/7 = 0. What is t?
-1, 1, 23
Let z(n) be the third derivative of -8*n**2 + 1/30*n**6 + 7/15*n**5 + 0 + 4/3*n**4 + 0*n - 32/3*n**3. Solve z(h) = 0 for h.
-4, 1
Let v(m) be the second derivative of 1/2*m**5 - 2/3*m**2 - 5/3*m**3 - 37*m + 1/9*m**4 + 0. Factor v(z).
2*(z - 1)*(z + 1)*(15*z + 2)/3
Let s(j) be the second derivative of -5*j**2 - 5/2*j**3 + 0*j**4 + 33*j + 0 + 1/4*j**5. Factor s(r).
5*(r - 2)*(r + 1)**2
Determine d, given that -3*d - 6*d**2 + d**5 - 6*d + 6*d**4 - 33*d**3 + 41*d**3 + 0*d**5 = 0.
-3, -1, 0, 1
Solve -166 + 16*o - 2*o - 164 - 5*o**3 + o + 320 = 0.
-2, 1
Let i(v) be the first derivative of -4/7*v**3 - 8 + 12/7*v - 3/14*v**4 + 3/7*v**2. Suppose i(s) = 0. What is s?
-2, -1, 1
Suppose 45 - 43 = x. Determine i so that -i**2 - 4*i**x + 30 - 33*i + 58*i = 0.
-1, 6
Let h(w) = -5*w**5 + 15*w**3 - 5*w**2 - 10*w + 5. Let c be 2/9 - 22/36*2. Let l(k) = -k**4 + 1. Let x(o) = c*h(o) + 5*l(o). What is m in x(m) = 0?
-1, 0, 1, 2
Suppose 32 = 52762*j - 52754*j. Determine w so that 3/4*w**j - 3*w**2 + 1/4*w**3 + 0 - w = 0.
-2, -1/3, 0, 2
Let q(p) = 4*p**2 + p. Let f be q(1). Suppose -17 = f*u - 2, -3*b = 2*u. Factor -4/7 - 2/7*g + 2/7*g**b.
2*(g - 2)*(g + 1)/7
Let j(f) be the third derivative of f**8/1512 + 2*f**7/945 - f**6/540 - f**5/135 + 135*f**2. Find l such that j(l) = 0.
-2, -1, 0, 1
Let h(o) be the first derivative of 5/2*o**2 + 10*o - 5/3*o**3 + 37. Factor h(g).
-5*(g - 2)*(g + 1)
Let q(m) be the second derivative of -9*m**5/4 + 20*m**4/3 + 10*m**3/3 - 25*m. Factor q(j).
-5*j*(j - 2)*(9*j + 2)
Let r(a) = 4*a**5 - 4*a**4 + 8*a**3 - 6*a**2 - 7*a + 5. Let w(z) = 5*z**5 - 5*z**4 + 9*z**3 - 7*z**2 - 8*z + 6. Let y(f) = -6*r(f) + 5*w(f). Factor y(q).
q*(q - 2)*(q - 1)*(q + 1)**2
Let t be (-23)/46 + (-41)/2*1. Let l be 15/(-20)*112/t. Suppose -24/7*k**3 + 0 + 4*k**5 + 22/7*k**l - 4/7*k - 22/7*k**2 = 0. Calculate k.
-1, -1/2, -2/7, 0, 1
Let o(p) be the first derivative of p**3/3 - 88. Suppose -4*v = c + c, -2*c - 5*v - 1 = 0. Let f(n) = -n**5 - 2*n**4 + n. Let l(m) = c*o(m) + f(m). Factor l(h).
-h*(h - 1)*(h + 1)**3
Let q(s) be the first derivative of s**6/810 - 7*s**5/270 + 23*s**3/3 - 47. Let n(u) be the third derivative of q(u). Find m, given that n(m) = 0.
0, 7
Factor 0*t**4 - 616 - 110*t**3 - 2*t**4 - 1761*t**2 + 1792*t + 3752 + 309*t**2.
-2*(t - 2)*(t + 1)*(t + 28)**2
Let m = 5009/4 - 1251. Factor 3/4*f**2 + 7/4*f**3 + 1/4*f**5 + m*f**4 + 0*f + 0.
f**2*(f + 1)**2*(f + 3)/4
Solve 0*u**2 - 4/3*u**4 - 8/3*u**3 + 0*u + 4/3*u**5 + 0 = 0.
-1, 0, 2
Factor 2/7*h**3 + 236/7*h**2 + 232/7 + 466/7*h.
2*(h + 1)**2*(h + 116)/7
Let d(g) be the first derivative of g**4/12 + 7*g**3/9 + 5*g**2/2 + 3*g + 28. Factor d(s).
(s + 1)*(s + 3)**2/3
Let q = 53111/5 + -10622. Solve -q*j**3 - 1/5*j + 2/5*j**5 + 0 - 3/5*j**2 + 3/5*j**4 = 0.
-1, -1/2, 0, 1
Let x be (2/(-3))/((-18)/81). Suppose x*b = b + b. Determine l so that -1/3*l**3 + b + 1/3*l + 1/3*l**4 - 1/3*l**2 = 0.
-1, 0, 1
Let r(p) be the first derivative of p**5/15 + p**4/4 - p**3/9 - p**2/2 + 69. Factor r(u).
u*(u - 1)*(u + 1)*(u + 3)/3
Solve -8/5*u**3 + 0*u + 32/5*u**2 + 1/10*u**4 + 0 = 0.
0, 8
Let o(r) be the third derivative of r**6/90 - r**5/15 - r**3/3 + 5*r**2. Let q(g) be the first derivative of o(g). Factor q(m).
4*m*(m - 2)
Let c be 24/14*((-39)/((-234)/(-64)) + 13). Factor 270/7*z**2 + 3/7*z**5 + 138/7*z**3 + 81/7 + 243/7*z + 33/7*z**c.
3*(z + 1)**2*(z + 3)**3/7
Let k be (-46)/(-14) + 18/(-14). Suppose 3*h - 11 - 7 = 0. Suppose 18/5*i - 10*i**3 - h*i**k - 2/5 = 0. Calculate i.
-1, 1/5
Let f(i) = i**2 + 629*i - 24341. Let y(x) = -2*x**2 - 1572*x + 60852. Let g(k) = 12*f(k) + 5*y(k). Let g(l) = 0. Calculate l.
78
Let t be (-2)/(-8)*4 + 1. What is b in -9*b - 196*b**2 + 121*b + t - 18 = 0?
2/7
Let n(u) = 2*u**2 + u + 1. Let i(c) = -5*c**3 + 9*c**2 - 13*c - 3. Let w(l) = i(l) + 3*n(l). Factor w(k).
-5*k*(k - 2)*(k - 1)
Let m(x) be the second derivative of -1/147*x**7 - 3/70*x**5 + 0*x**2 + 1/35*x**6 + 0*x**3 - 6*x + 0 + 1/42*x**4. Determine o so that m(o) = 0.
0, 1
Factor 326/5*r + 166/5*r**2 + 162/5 + 2/5*r**3.
2*(r + 1)**2*(r + 81)/5
Let p be (1095/204 - 79/316) + -5. Solve 6/17*z**3 - p*z**4 + 0*z**2 + 0*z + 0 = 0.
0, 3
Let b = -7 - -27. Suppose -18 + 32*a**3 + 6*a**2 - 6 + 2*a**2 - 36*a**3 + b*a = 0. What is a?
-2, 1, 3
Factor -202*y - y**2 + 25 + 2 - 2*y**2 + 178*y.
-3*(y - 1)*(y + 9)
Solve -78*z**3 + 338/5*z**2 + 0 - 2/5*z**5 + 54/5*z**4 + 0*z = 0.
0, 1, 13
Let g(a) be the third derivative of -a**8/560 + 4*a**7/175 - 23*a**6/200 + 7*a**5/25 - 3*a**4/10 - 2*a**2 + 62. Solve g(b) = 0.
0, 1, 2, 3
Let t = -35 - -37. Let q(u) be the second derivative of 2/3*u**3 + 0 - 1/6*u**4 + 4*u + 0*u**t. Factor q(z).
-2*z*(z - 2)
Let d(t) = t**5 + t**4 + t**3 + 1. Let f(n) = -3*n**5 + 7*n**4 - 11*n**3 + 4*n**2 - 1. Let k(v) = -d(v) - f(v). Let k(p) = 0. What is p?
0, 1, 2
Find w such that 14/9*w**2 - 32/9*w**4 + 2 - 8/9*w**5 - 34/9*w**3 + 14/3*w = 0.
-3/2, -1, 1
Let c(v) = 2*v + 3. Let h be c(1). Suppose 384*t**2 + 48*t + 169*t**4 + 147*t**h - 238*t**4 + 936*t**3 + 741*t**4 = 0. Calculate t.
-2, -2/7, 0
Let m(a) = a**2 + 7*a - 2. Let j be m(-8). Suppose 53*b = 50*b + j. Factor 4*f**4 - 3*f**2 + 5*f - b*f**2 - 8*f**3 + 3*f**3 + f**4.
5*f*(f - 1)**2*(f + 1)
Let a(x) be the third derivative of 7*x**5/60 + x**4 + 5*x**3/6 - 21*x**2. Let h(w) = -w**2 - 1. Let t(l) = -a(l) + 3*h(l). Solve t(f) = 0.
-2, -2/5
Factor -36*s + 27/4*s**2 + 39 + 3/4*s**3.
3*(s - 2)**2*(s + 13)/4
Let l be 3 - ((-4)/(-1))/4. Let j(k) = 11*k + 2*k**2 + 5 - 5*k**l - 2*k**2. Let w(p) = p**2 - 2*p - 1. Let b(d) = -4*j(d) - 22*w(d). Find r such that b(r) = 0.
-1, 1
Let m(a) = -2*a**3 + 32*a**2 + 2*a - 32. Let o(f) = -f**3 + 31*f**2 + f - 31. Let v(h) = -4*m(h) + 5*o(h). Factor v(z).
3*(z - 1)*(z + 1)*(z + 9)
Suppose 8 = 4*s - 0*s. Let x be (-3)/2*-2 + -5 - 18/(-9). Factor -2/5*n + 2/5*n**s + x.
2*n*(n - 1)/5
Factor -10 + 32*d**3 - 2*d**2 - 21*d - 17*d + 3*d + 3*d**3 + 12*d**2.
5*(d - 1)*(d + 1)*(7*d + 2)
Let q(y) = 3*y**3 + 2*y**2 - y. Let g(u) = 2*u - 3. Let a be g(2). Let z be q(a). Factor -1 + 6*v**2 + 4*v**3 - 5 + 2 - 2*v**3 - 2*v**z - 2*v.
-2*(v - 2)*(v - 1)*(v + 1)**2
Determine n, given that -1/4*n**3 + 16*n + 0 + 63/4*n**2 = 0.
-1, 0, 64
Let p = -2/1293 - -288/431. Let y(o) be the second derivative of 6*o + p*o**2 + 0 + 1/36*o**4 + 2/9*o**3. Factor y(i).
(i + 2)**2/3
Let g(v) be the second derivative of v**8/1680 + v**7/630 - 7*v**4/2 + 15*v. Let i(b) be the third derivative of g(b). Factor i(u).
4*u**2*(u + 1)
Let f(g) be the third derivative of -g**6/24 - g**5/12 + 5*g**4/3 + 10*g**3 - 6*g**2 + 22. Solve f(y) = 0 for y.
-2, 3
Let s(m) be the second derivative of m**8/336 - m**7/105 + m**5/30 - m**4/24 - 7*m**2/2 - 28*m. Let d(l) be the first derivative of s(l). Factor d(c).
c*(c - 1)**3*(c + 1)
Factor -55*y**3 + 268*y**4 - 4 + 3*y**2 - 269*y**4 + 57*y**3 - 4*y.
-(y - 2)**2*(y + 1)**2
Let y be (-6 + 7)/((-63)/(-60) - 1). Suppose -14 = 3*a - y. Let 7/9*o**a + 1 - 5/3*o - 1/9*o**3 = 0. Calculate o.
1, 3
Suppose 0*t - 3*n + 12 = -3*t, 3*n = 12. Let r = 345199/690390 - 2/345195. Suppose r*l**2 + l + t = 0. What is l?
-2, 0
Let x(j) be the first derivative of -3*j**5/5 - 3*j**4/2 + 4*j**3 + 3*j**2 - 9*j + 114. Determine y so that x(y) = 0.
-3, -1, 1
Suppose 6*s - 2*s = 3*p + 9, -4*p = -s - 1. Let x(n) be the second derivative of -1/10*n**s + 1/20*n**4 - 3*n + 0 - 3/5*n**2. Factor x(h).
3*(h - 2)*(h + 1)/5
Suppose -480*i = -492*i + 24. Determine w so that 2/11*w**i + 12/11*w + 18/11 = 0.
-3
Let 