late b.
-1, 2/5
Let u(y) be the third derivative of y**5/570 - y**4/12 - 20*y**3/57 + 23*y**2 + 10*y. Suppose u(v) = 0. Calculate v.
-1, 20
Suppose 3*x = -4*o + 14, x + 15 = 17. Factor 2/7*z**3 + 6*z**o + 198/7*z - 242/7.
2*(z - 1)*(z + 11)**2/7
Let t be 8/(-16)*(-224)/280. Determine d so that 4/5 - 3/5*d**2 + 1/5*d**4 + 4/5*d - t*d**3 = 0.
-1, 2
Let k(r) = -r**2 - 9*r + 5. Let b = -10 - -1. Let g be k(b). Factor -2*h**2 + 27 + g*h**2 - 40*h + 58*h.
3*(h + 3)**2
Let s be ((-1)/(-21))/(135/45). Let w(z) be the second derivative of 0*z**3 + 8*z + 0 + 1/30*z**5 + s*z**7 + 0*z**4 + 2/45*z**6 + 0*z**2. Factor w(l).
2*l**3*(l + 1)**2/3
Let q(b) = b**2 - 2*b + 2. Suppose 2*j = -2*j. Let i be q(j). Suppose i*v**2 + 2*v - 4*v - 3*v**2 = 0. Calculate v.
-2, 0
Find h such that -12/5*h**2 + 0*h + 1/5*h**4 + 0 - 8/5*h**3 + 1/5*h**5 = 0.
-2, 0, 3
Factor -385*l - l**3 + 2*l**2 + 775*l - 387*l.
-l*(l - 3)*(l + 1)
Let d(k) be the first derivative of 0*k**3 - 1 + 0*k - k**2 + 1/20*k**5 - 1/4*k**4. Let w(q) be the second derivative of d(q). Factor w(u).
3*u*(u - 2)
Let t be (-1)/(15/(-6)) - 53/20. Let d = 11/4 + t. Factor -d*y**5 - 1/2*y**4 + 0 + 1/2*y**2 + 1/2*y**3 + 0*y.
-y**2*(y - 1)*(y + 1)**2/2
Factor 4/5*p**2 + 0*p + 2/5*p**4 + 6/5*p**3 + 0.
2*p**2*(p + 1)*(p + 2)/5
Let i(a) be the third derivative of -1323*a**8/16 + 1701*a**7/10 + 1953*a**6/5 - 1258*a**5/5 + 62*a**4 - 8*a**3 - 137*a**2. Find z, given that i(z) = 0.
-1, 2/21, 2
Let p = -8 + 27. Suppose 0 = -16*d + p*d - 9. Let -5*g**2 + 4*g**d - 3*g**2 + 2*g**4 - 10*g - 6*g = 0. Calculate g.
-2, 0, 2
Suppose -k = 3*k - 16. Find q, given that -97*q**4 - k*q + 19*q + 6 + 109*q**4 + 5*q**3 - 9*q**2 - 29*q**3 = 0.
-1/2, 1, 2
Let f = 18363 - 55088/3. Suppose -3*b**2 + f*b**4 + 4 + 0*b**3 - 4/3*b = 0. What is b?
-2, 1, 3
Let z(s) = -4*s**5 - 17*s**4 + 11*s**3 + 48*s**2 - 5*s + 5. Let h(p) = -6*p**5 - 26*p**4 + 16*p**3 + 72*p**2 - 8*p + 8. Let a(d) = 5*h(d) - 8*z(d). Factor a(r).
2*r**2*(r - 2)*(r + 2)*(r + 3)
Let l(w) be the first derivative of 2*w**5/5 + 3*w**4/2 - 182. Factor l(h).
2*h**3*(h + 3)
Let f be -1 + 52/10 - (3 - -1). Let l(x) be the third derivative of 2*x**2 + 0*x + 0*x**3 + 1/8*x**4 + f*x**5 + 0. Factor l(t).
3*t*(4*t + 1)
Suppose 7*r - 93 = 6*r. Factor 16*z + z**4 + 27 - r + 50 - 4*z**3.
(z - 2)**3*(z + 2)
Let q be 1 - (-384)/(-180) - 12/(-9). Factor 4/5 - 3/5*t**3 + 8/5*t + q*t**2.
-(t - 2)*(t + 1)*(3*t + 2)/5
Suppose h - 6 = -5*a, -a + h - 8 = -14. Let w be -7*((-6)/147 - 0). Factor -w*p**a + 4/7 - 2/7*p.
-2*(p - 1)*(p + 2)/7
Suppose -5 = -84*z + 81*z + b, z - 2*b = 0. Let 11/3*l**z + 4/3 - 8*l = 0. Calculate l.
2/11, 2
Let x = -64 + 184. Suppose -57*g = -52*g - x. Factor 8/3 - 84*v**3 - g*v + 218/3*v**2 + 98/3*v**4.
2*(v - 1)**2*(7*v - 2)**2/3
Let z(x) be the first derivative of x**6/21 + 2*x**5/35 - 3*x**4/7 + 4*x**3/21 + 5*x**2/7 - 6*x/7 + 4. Suppose z(l) = 0. What is l?
-3, -1, 1
Let v = -24613/3 + 8209. Factor 0 + 32/3*x**2 + 8/3*x + v*x**3.
2*x*(x + 2)*(7*x + 2)/3
Let h(u) = -4*u - 4 + 3*u + 3*u. Let o be h(3). Factor 0 - 1/6*s**o + 1/3*s.
-s*(s - 2)/6
Let x(y) be the first derivative of y**4/20 + 6*y**3/5 + 81*y**2/10 - 45. Let x(p) = 0. What is p?
-9, 0
Factor -225/4*k + 5/4*k**4 - 105/4*k**2 + 5/4*k**3 + 0.
5*k*(k - 5)*(k + 3)**2/4
Let f(d) be the second derivative of -d**7/140 + d**6/80 + d**5/40 - d**4/16 - 11*d**2/2 + 8*d. Let n(w) be the first derivative of f(w). Factor n(s).
-3*s*(s - 1)**2*(s + 1)/2
Let c(g) be the third derivative of g**9/60480 - g**7/1680 + g**6/360 + 4*g**5/15 - g**2. Let s(r) be the third derivative of c(r). Factor s(y).
(y - 1)**2*(y + 2)
Let u(w) = -w**3 + 5*w**2 - 3*w + 9. Let n be u(5). Let b be -1*5/n - (-1)/(-2). Determine c, given that 0*c**3 + 0*c**2 + b*c**4 + 0*c - 1/3*c**5 + 0 = 0.
0, 1
Let b(h) = -h**2 - 12*h + 14. Let d be b(-11). Let p = d - 7. Factor -p*l**4 + 0*l**3 + 2*l**2 - 4*l**3 + 20*l**4.
2*l**2*(l - 1)**2
Let i(q) be the second derivative of -q**6/36 + q**5/4 - 5*q**4/6 + 10*q**3/9 - 2*q + 2. Factor i(d).
-5*d*(d - 2)**3/6
Let v(u) be the first derivative of u**6/90 - u**5/3 + 25*u**4/6 + 2*u**3 - 14. Let z(l) be the third derivative of v(l). Factor z(i).
4*(i - 5)**2
Let w(m) be the first derivative of 2*m**3/15 - 5*m**2 + 92*m/5 - 211. Let w(t) = 0. What is t?
2, 23
Factor -21/2 + 15/4*f**2 + 9/4*f.
3*(f + 2)*(5*f - 7)/4
Let u(c) = 5*c**4 - 47*c**3 + 161*c**2 - 25*c - 258. Let b(t) = -2*t**3 + t**2 + 2. Let n(k) = 4*b(k) + u(k). Factor n(y).
5*(y - 5)**2*(y - 2)*(y + 1)
Let j(l) be the first derivative of -4*l**6/225 + 3*l**5/50 - l**4/15 + l**3/45 - 37*l + 33. Let s(u) be the first derivative of j(u). Factor s(k).
-2*k*(k - 1)**2*(4*k - 1)/15
Let i(d) be the second derivative of 4*d**6/45 - d**5/15 - 7*d**4/3 - 52*d**3/9 - 16*d**2/3 - 66*d + 1. What is a in i(a) = 0?
-2, -1, -1/2, 4
Let m(w) = -11*w - 115. Let n(j) = -17*j - 173. Let r(d) = 8*m(d) - 5*n(d). Let q be r(-19). Solve 3/5*b**q - 3/5*b + 0 = 0.
0, 1
Factor 120/11 - 122/11*q + 2/11*q**2.
2*(q - 60)*(q - 1)/11
Let a(m) be the second derivative of 4*m + 1/4*m**4 + 24*m**2 + 4*m**3 + 0. Find c such that a(c) = 0.
-4
Let q(k) be the first derivative of k**6/300 - k**4/20 + 2*k**3/15 + 11*k**2/2 - 7. Let j(n) be the second derivative of q(n). Factor j(p).
2*(p - 1)**2*(p + 2)/5
Let k be (-9)/(-21) + 17/238. Let d be (-1)/(-4) + 2/8. Factor -k*h - d*h**3 + h**2 + 0.
-h*(h - 1)**2/2
Let j(d) be the first derivative of 13*d**3/3 - 4*d**2 - 48*d - 4. Let l(h) = -32*h**2 + 20*h + 120. Let c(k) = 12*j(k) + 5*l(k). Find r such that c(r) = 0.
-2, 3
Suppose -17*s + 9 - s**3 - 3*s + 9*s**3 + 86 + 12*s**3 - 95*s**2 = 0. Calculate s.
-1, 1, 19/4
Let p(k) = 863*k**2 + 4677*k + 6477. Let u(d) = 6910*d**2 + 37415*d + 51815. Let n(w) = -25*p(w) + 3*u(w). Factor n(f).
-5*(13*f + 36)**2
Let y(f) be the first derivative of -f**6/720 - f**5/240 - 16*f**3/3 + 4. Let m(h) be the third derivative of y(h). Factor m(j).
-j*(j + 1)/2
Let m(w) be the third derivative of 0 + 0*w**5 + 0*w - 1/30*w**4 + 1/1050*w**7 + 1/200*w**6 - 17*w**2 + 0*w**3. Factor m(p).
p*(p - 1)*(p + 2)**2/5
Suppose 4*z = -4*x, 10 = 4*x - 3*z + 2*z. Let w(l) be the first derivative of 0*l**3 + 1/16*l**4 + 0*l**x + 0*l + 6. Factor w(u).
u**3/4
What is m in 16/3 - 14/3*m**3 + 2/3*m**4 + 12*m**2 - 40/3*m = 0?
1, 2
Let n(k) be the first derivative of 2*k**5/45 - 2*k**3/9 + 2*k**2/9 + 55. Determine c, given that n(c) = 0.
-2, 0, 1
Let b(s) be the third derivative of s**7/735 - 13*s**6/140 + 12*s**5/7 + 100*s**4/21 - s**2 + 111. Determine p, given that b(p) = 0.
-1, 0, 20
Suppose 629 = -9*x + 647. Factor -50/9*s**x - 40/9*s - 8/9.
-2*(5*s + 2)**2/9
Let t(u) be the first derivative of 2*u**7/525 - u**6/75 - 4*u**2 - 27. Let w(c) be the second derivative of t(c). Factor w(i).
4*i**3*(i - 2)/5
Factor -2/7*r**2 - 99458/7 + 892/7*r.
-2*(r - 223)**2/7
Let b = 231 + -1845/8. Let z(i) be the first derivative of -b*i**4 + 0*i - 7 - 1/2*i**3 + 0*i**2 + 3/5*i**5. Factor z(m).
3*m**2*(m - 1)*(2*m + 1)/2
Let p(z) be the first derivative of -1/6*z**4 - 8 + 0*z**2 + 4/3*z**3 + 0*z. Solve p(n) = 0.
0, 6
Suppose 3*l + 11*h - 15*h = 11, -2*h + 17 = 3*l. Let s(r) be the first derivative of -l*r**2 - 10 - 5*r - 5/3*r**3. Let s(q) = 0. What is q?
-1
Let f(s) be the third derivative of -s**7/735 + s**6/210 + 34*s**2. Suppose f(r) = 0. What is r?
0, 2
Factor -2074*w**2 + 2039*w**2 - 3*w**3 + 8*w**3.
5*w**2*(w - 7)
Let c be (-6488)/(-1080) + 4 + -10. Let s(v) be the second derivative of -c*v**6 + 1/30*v**5 + 0*v**3 + 0*v**2 + 0*v**4 - 3*v + 0. Factor s(f).
-2*f**3*(f - 3)/9
Let v be -2 + (-2)/(-1) - -3. Suppose -12 = -2*d + v*d - 5*j, 0 = 4*j - 16. Solve -16*x**4 + 12*x - d*x - 24*x**2 + 30*x**3 + 6*x**3 = 0 for x.
0, 1/4, 1
Let o(j) be the second derivative of j**4/12 - j**3/6 - 6*j**2 + 7*j - 2. Find s, given that o(s) = 0.
-3, 4
Let h be 2/(3/(1*-27)). Let g = 33 + h. Factor 9*k - 3*k + 3*k**4 + g*k**2 + 3*k**3 + 9*k**3.
3*k*(k + 1)**2*(k + 2)
Let h(q) be the first derivative of -q**4/4 + 3*q**3 + 6*q**2 - 18*q + 21. Let j be h(10). Factor -15/2*r**j + 12*r - 6 + 3/2*r**3.
3*(r - 2)**2*(r - 1)/2
Let y(q) = q**2 + q + 1. Let r(j) = -j**3 + 7*j**2 + j + 5. Suppose -19 = 6*k + 53. Let d(f) = k*y(f) + 3*r(f). Suppose d(g) = 0. What is g?
1
Let o = 5513/3 + -1