late p.
4
Let s be 0 - (-4 - ((2 - 5) + 1)). Determine a so that 1 + 2 + 7*a + 2*a + 11*a**2 - s*a**2 + 3*a**3 = 0.
-1
Let m be -1*2/2 + 21 + 35. Let j(f) = -190*f**2 - 595*f - 485. Let o(h) = -7*h**2 - 22*h - 18. Let b(p) = m*o(p) - 2*j(p). Let b(c) = 0. Calculate c.
-2
Let w(t) be the first derivative of 3*t**4/4 - 7*t**3 + 21*t**2 - 24*t - 298. Suppose w(b) = 0. Calculate b.
1, 2, 4
Suppose 295 - 289 = -3*h, 37 = 3*c - 5*h. Let u(s) be the first derivative of 9/2*s**6 + 0*s + c - s**3 - 3/4*s**4 + 0*s**2 + 27/5*s**5. What is j in u(j) = 0?
-1, -1/3, 0, 1/3
Let d(k) be the third derivative of -k**7/210 + 7*k**6/120 - k**5/4 + 3*k**4/8 - 45*k**2. Factor d(n).
-n*(n - 3)**2*(n - 1)
Let z(d) be the third derivative of d**7/42 - 7*d**6/3 + 467*d**5/6 - 875*d**4 + 9375*d**3/2 - d**2 - 141. Factor z(p).
5*(p - 25)**2*(p - 3)**2
Let c(l) be the second derivative of -l**7/70 + l**6/40 + l**5/20 - l**4/8 - 3*l**2/2 - 10*l. Let m(b) be the first derivative of c(b). Factor m(a).
-3*a*(a - 1)**2*(a + 1)
Suppose 10*h - 7*h + 5*f = -3, 0 = f + 3. Find s, given that 0 + 0*s + 3/5*s**3 - 3/5*s**h + 0*s**2 = 0.
0, 1
Let q be (12222/294 + -45)/((-20)/14). Let 12/5*u - 9/5*u**3 + 0 + q*u**2 = 0. What is u?
-2/3, 0, 2
Let j(h) be the first derivative of 2*h**3/27 + 26*h**2/9 + 338*h/9 + 42. Factor j(s).
2*(s + 13)**2/9
What is p in -17/7*p + 6/7 + 17/7*p**2 + 1/7*p**4 - p**3 = 0?
1, 2, 3
Let f(x) be the third derivative of x**5/150 - 47*x**4/15 + 8836*x**3/15 - 3*x**2. Factor f(l).
2*(l - 94)**2/5
Let i(z) be the first derivative of 1/540*z**6 + 0*z - 1 - 1/54*z**5 - 1/9*z**3 + 7/2*z**2 + 7/108*z**4. Let k(v) be the second derivative of i(v). Factor k(q).
2*(q - 3)*(q - 1)**2/9
Suppose 2*h - 3*h = 0. Let k(b) = -2*b - 80. Let s be k(-41). Factor 1/2*y**s + 0*y - 1/2*y**4 + h*y**3 + 0.
-y**2*(y - 1)*(y + 1)/2
Let r(c) = c**3 - 8*c**2 + 3*c + 1. Let w be r(8). Let a = w - 22. Factor 0*g**2 - 7 - 9 + a*g**2 - 4*g**2 + 8*g.
-(g - 4)**2
Solve 0 - 4/3*z**4 - 1/3*z**5 - 4/3*z**3 + 0*z + 0*z**2 = 0.
-2, 0
Let n = 17557/21 + -836. Let r(i) be the third derivative of 1/30*i**6 + 0 - 7*i**2 - 1/21*i**5 + 0*i**3 - n*i**4 + 0*i. Suppose r(l) = 0. Calculate l.
-2/7, 0, 1
Let n(l) be the first derivative of -l**8/280 - l**7/420 + l**6/90 - 10*l**3/3 - 34. Let r(u) be the third derivative of n(u). Factor r(t).
-2*t**2*(t + 1)*(3*t - 2)
Suppose 3*o = 4 + 116. Factor -8*u + 4*u**3 + 97*u + 11*u - o*u**2.
4*u*(u - 5)**2
Let c(p) be the second derivative of -p**5/30 - p**4/6 + 4*p**2/3 - 82*p. Factor c(x).
-2*(x - 1)*(x + 2)**2/3
Let m(f) = -f**4 - 17*f**3 + 18*f**2 + 12*f + 4. Let s(z) = -2*z**4 - 35*z**3 + 37*z**2 + 27*z + 9. Let u(p) = 9*m(p) - 4*s(p). What is a in u(a) = 0?
-14, 0, 1
Factor -3/4*d**3 + 27/2 + 27/4*d - 3/2*d**2.
-3*(d - 3)*(d + 2)*(d + 3)/4
Let b be -4*(-4)/(14 + 18). Let 5*r - 25/2 - b*r**2 = 0. Calculate r.
5
Suppose -4*w - 42 = -30. Let y be 6*((-4)/9*w)/2. Determine k so that 0 + 2/15*k**3 + 2/15*k**5 - 2/5*k**y + 2/5*k**2 - 4/15*k = 0.
-1, 0, 1, 2
Suppose 2*r = 3*s + 6*r + 16, 8 = 4*s - 2*r. Suppose -3*g + 35 = 5*p, -5*g + s = -5*p - 5. Factor -4*d**2 + 3*d - 2*d + 4*d**p - d.
4*d**2*(d - 1)*(d + 1)
Let f(n) = -35*n**3 + n**2. Let m be f(-1). Find a such that 4*a - 7*a**2 - 38*a**4 - 5*a**2 + m*a**5 - 4*a**2 + 86*a**4 - 8*a**3 = 0.
-1, 0, 1/3
Let i(h) be the first derivative of -7*h**6/6 - 363*h**5/20 - 629*h**4/16 - 259*h**3/12 + 57*h**2/8 + 11*h/2 - 371. Let i(x) = 0. What is x?
-11, -1, -1/4, 2/7
Let i(s) be the second derivative of 11*s**7/18 - 16*s**6/15 + 13*s**5/60 + s**4/6 + 862*s. Solve i(w) = 0.
-2/11, 0, 3/7, 1
Suppose 5*d = 2*a + 3*d + 4, -3*a = 4*d - 29. Suppose 2*g - 4 = r - 5*r, 4*g + 2 = -3*r. Factor 0*w**r + 2*w - 4/3 - 2/3*w**a.
-2*(w - 1)**2*(w + 2)/3
Factor 63*t**2 - 124*t**2 + 228*t + 57*t**2 - 224.
-4*(t - 56)*(t - 1)
Let h(z) be the second derivative of -z**6/30 + 3*z**5/20 + 140*z. Factor h(v).
-v**3*(v - 3)
Let b(h) be the second derivative of h**3/6 + h**2 + 9*h. Let r be b(0). Factor -3*m**r + 4*m**2 - 4*m - 5*m**2 + 0*m.
-4*m*(m + 1)
Let q(i) be the third derivative of -i**6/120 + 23*i**5/20 - 385*i**4/8 - 1225*i**3/6 - i**2 + 2. Factor q(j).
-(j - 35)**2*(j + 1)
Let a(g) be the third derivative of 0*g**3 + 1/140*g**5 + 0*g**4 + 0 + 0*g - 11*g**2 - 1/280*g**6. Factor a(t).
-3*t**2*(t - 1)/7
Let v(n) be the first derivative of 0*n**2 + 3/2*n + 9 - 1/8*n**3. Factor v(s).
-3*(s - 2)*(s + 2)/8
Let z(b) be the first derivative of 2*b**7/315 - b**6/90 - b**5/45 + b**4/18 - 35*b**2/2 - 39. Let g(f) be the second derivative of z(f). Solve g(m) = 0.
-1, 0, 1
Let r(x) be the first derivative of -10*x**3/51 + 343*x**2/17 + 276*x/17 - 80. Factor r(c).
-2*(c - 69)*(5*c + 2)/17
Let q be (-5)/(-2)*(-48)/(-30). Find z, given that 2 - z**4 - 2 + 4 - 3*z**2 - 4*z**3 + 4*z + 0*z**q = 0.
-2, -1, 1
Let u(l) = -6*l**3 - 14*l**2 - 24*l - 11. Let t be (-7 + 10)*5/3. Let q(p) = -7*p**3 - 15*p**2 - 24*p - 10. Let c(b) = t*q(b) - 6*u(b). Factor c(x).
(x + 1)*(x + 4)**2
Let k(b) be the second derivative of -b**4/18 + 5*b**3/9 - 4*b**2/3 - 110*b. Factor k(g).
-2*(g - 4)*(g - 1)/3
Let x(w) = -6*w**4 - 3*w**3 + 3*w**2. Let c(b) be the first derivative of -b**5/5 + b**3/3 - 15. Let j(z) = 3*c(z) - x(z). Factor j(u).
3*u**3*(u + 1)
What is c in -608*c**2 - 48*c**3 + 12*c**4 + 672*c**2 + 4*c**4 - 32*c - 2*c**5 = 0?
0, 2
Let j be 22/8 - (-3 + (-22)/(-8)). Factor -4*m**4 - 345*m**2 - 512 - 56*m**j + 4*m**2 - 640*m + 53*m**2.
-4*(m + 2)*(m + 4)**3
Let v(o) be the second derivative of o**6/180 + o**5/84 - o**4/42 + 13*o**3/6 - 24*o. Let l(r) be the second derivative of v(r). Solve l(b) = 0.
-1, 2/7
Let m(v) be the second derivative of -v**6/30 - v**5/2 - 17*v**4/12 - 4*v**3/3 - 84*v. Factor m(t).
-t*(t + 1)**2*(t + 8)
Let h be 54/(-189) + 122/(-14). Let d be ((-8)/(-6))/((-69)/h). Find c such that 8/23*c**2 + 10/23*c + 2/23*c**3 + d = 0.
-2, -1
Let f(z) be the second derivative of -2*z**6/15 - 7*z**5/5 + z**4 + 46*z**3/3 + 28*z**2 - 639*z. Solve f(l) = 0 for l.
-7, -1, 2
Suppose 542/7*x**2 + 2/7*x**3 + 36450/7 + 36990/7*x = 0. Calculate x.
-135, -1
Let i(c) be the second derivative of c**4/6 - 4*c**3 + 20*c**2 - 134*c - 1. Factor i(r).
2*(r - 10)*(r - 2)
Solve -81*k**2 + 3*k**3 - 12440 - 38*k**2 - 177*k + 35*k**2 + 12350 = 0 for k.
-1, 30
Let d(k) = -3 - k - 6 - 6 + 4. Let r be d(-16). Factor -4 + 3*y - 12*y**2 + r*y + 8*y**2.
-4*(y - 1)**2
Factor -96/5 + 12/5*a + 3/5*a**2.
3*(a - 4)*(a + 8)/5
Let c(q) be the third derivative of -q**8/560 - 3*q**7/350 + q**6/200 + 3*q**5/100 + 19*q**2. Solve c(d) = 0.
-3, -1, 0, 1
Let o be (3/(-20))/(93/(-155)). Determine a so that o*a**4 + 0 - 1/4*a**2 + 1/4*a**5 - 3/4*a**3 + 1/2*a = 0.
-2, -1, 0, 1
Let a(i) be the first derivative of -4*i**4/3 - 32*i**3/9 + i**2/6 + 2*i/3 - 189. Factor a(d).
-(d + 2)*(4*d - 1)*(4*d + 1)/3
Let c(s) be the third derivative of s**7/840 + s**6/96 + s**5/30 + s**4/24 + 2*s**2 + 3*s. Factor c(v).
v*(v + 1)*(v + 2)**2/4
Let a = -57 - -61. Let b(z) be the second derivative of -9/8*z**2 + 1/80*z**5 + 5/8*z**3 + 3*z + 0 - 7/48*z**a. Let b(i) = 0. What is i?
1, 3
Let z be 105/(-14)*280/(-700). Factor -12 - w**z - 32*w + 35/3*w**2.
-(w - 6)**2*(3*w + 1)/3
Let o(a) = -24*a - 120. Let b be o(-5). Let l(u) be the third derivative of 4*u**2 + 0*u**4 + 1/36*u**3 + b*u - 1/360*u**5 + 0. Factor l(y).
-(y - 1)*(y + 1)/6
Let k be 108/180*1*(-12)/(-9). Determine a, given that -k*a + 2/5 - 6/5*a**2 = 0.
-1, 1/3
Let n = -5 + 6. Let w be n/(-3)*0 - -3. Determine b, given that 6*b - b - 6*b**w - b**4 - b + 3*b**3 = 0.
-2, 0, 1
Let f(z) be the first derivative of z**5 + 5*z**4/2 - 25*z**3/3 - 15*z**2 + 340. Factor f(r).
5*r*(r - 2)*(r + 1)*(r + 3)
Factor -10*k**4 + 20*k**4 - 8*k**4 + 702*k**2 + 70*k**3 + 338*k - 17576.
2*(k - 4)*(k + 13)**3
Let y be ((-18)/(-35))/(1224/5712). Find a, given that -9/5*a + 3*a**4 - y*a**5 + 0 + 21/5*a**2 + 57/5*a**3 = 0.
-1, 0, 1/4, 3
Let n(d) be the first derivative of -3*d**6/2 + 12*d**5/5 + 23*d**4/4 - 18*d**3 + 18*d**2 - 8*d + 77. Solve n(r) = 0.
-2, 2/3, 1
Let -5/2*y**3 - 8 + 10*y + 1/2*y**4 + 0*y**2 = 0. Calculate y.
-2, 1, 2, 4
Let h(r) be the second derivative of -3/80*r**5 + 0 - r + 0*r**2 - 1/32*r**4 + 0*r**3 - 1/80*r**6. Factor h(n).
-3*n**2*(n + 1)**2/8
Let x be (-256)/14 - 10