2)
Let y(c) = 2*c**2 - 10*c - 16. Let a be y(7). Determine p so that 5*p**2 - 25*p + 6*p**2 + a + 8 - 6*p**2 = 0.
1, 4
Let l(r) be the first derivative of -2*r**3/51 - 12*r**2/17 - 70*r/17 + 25. Determine a, given that l(a) = 0.
-7, -5
Suppose -18 = -p - 4*w, -5*p + 6*p - w = -2. Let u(l) be the first derivative of -l**p - l**3 - 6 - 1/4*l**4 + 0*l. Factor u(r).
-r*(r + 1)*(r + 2)
Let y(h) be the first derivative of -h**3/12 + 3*h**2/4 + 7*h/4 + 409. Find f, given that y(f) = 0.
-1, 7
Let i(r) = -12*r**2 - 852*r - 903. Let z(d) = -3*d**2 - 214*d - 226. Let f(g) = -5*i(g) + 21*z(g). Solve f(c) = 0 for c.
-77, -1
Let h be (24/3 - 6) + 0/2. Let g(z) be the first derivative of 2/33*z**3 + 1/11*z**4 + 4 + 0*z + 0*z**h + 2/55*z**5. Factor g(s).
2*s**2*(s + 1)**2/11
Factor -3/8*n**4 + 0*n + 0 - 9/4*n**2 - 15/8*n**3.
-3*n**2*(n + 2)*(n + 3)/8
Let x(g) be the first derivative of -1/140*g**5 + 1/56*g**4 + 0*g**2 - 2*g**3 - 5 + 0*g + 1/840*g**6. Let m(q) be the third derivative of x(q). Factor m(r).
3*(r - 1)**2/7
Let l(v) be the third derivative of -4*v**2 - 7/120*v**4 + 1/5*v**3 + 0 + 0*v + 1/600*v**6 + 0*v**5. Factor l(x).
(x - 2)*(x - 1)*(x + 3)/5
Let g = -190943/78 - -2448. Let i(k) be the third derivative of -g*k**4 + 0*k**3 + 1/390*k**5 - 4*k**2 + 0*k + 0. Let i(z) = 0. What is z?
0, 2
Suppose 5*u = -4*p + 37, 18 + 22 = 4*p + 4*u. Solve -p*t**3 - 15*t**2 - 5*t**4 + 4*t**4 - 2*t**3 - 5*t - 4*t**4 = 0.
-1, 0
Let j(b) be the third derivative of b**8/1344 - b**7/42 + 5*b**6/24 - b**2 - 104*b. Find f, given that j(f) = 0.
0, 10
Determine w so that 426*w - 12 + 9*w**4 + 6 + 20*w**3 - 3*w**2 - 5*w**3 - 441*w = 0.
-1, -2/3, 1
Let u(n) be the third derivative of 1/6*n**4 - 1/60*n**5 + 0*n + 9*n**2 - 2/3*n**3 + 0. Factor u(j).
-(j - 2)**2
Let i = -6237 + 6239. Factor 1/3*a**3 - 3*a + 3 - 1/3*a**i.
(a - 3)*(a - 1)*(a + 3)/3
Suppose -5*u + 4*u = -28. Let n = u + -20. Let c(o) = -2*o**3 - 3*o**2 - 5. Let k(p) = -3*p**3 - 5*p**2 - 8. Let v(m) = n*c(m) - 5*k(m). Factor v(z).
-z**2*(z - 1)
Let u(d) = -6*d**3 - 2*d**2 - 2. Let c be u(-2). Suppose -25*j + 4*j**3 - 21*j + c*j - 12*j**4 + 4*j**5 + 12*j**2 = 0. Calculate j.
-1, 0, 1, 2
Let p(g) be the second derivative of 2*g**6/5 + g**5 + 2*g**4/3 + 12*g - 1. Factor p(n).
4*n**2*(n + 1)*(3*n + 2)
Let j be (-6)/(-18)*(-11 + 12). Let k(h) be the second derivative of 1/20*h**5 + 1/90*h**6 + 0 + 1/36*h**4 - 1/6*h**3 + 4*h - j*h**2. Factor k(x).
(x - 1)*(x + 1)**2*(x + 2)/3
Let q = 65723/4 + -16578. Let x = -146 - q. Suppose 5/4*t**2 - 5/4 + 5/4*t - x*t**3 = 0. What is t?
-1, 1
Let q(y) be the third derivative of -y**7/5880 + y**6/336 + 19*y**4/12 - 16*y**2. Let d(a) be the second derivative of q(a). Solve d(f) = 0.
0, 5
Factor 405*m + 66*m**2 - 3*m**3 + 14157 - 13953 + 132*m**2 + 0*m**3.
-3*(m - 68)*(m + 1)**2
Let o(t) be the third derivative of t**8/2310 + t**7/1540 - t**6/1980 + 13*t**3/6 + 7*t**2. Let c(x) be the first derivative of o(x). Factor c(m).
2*m**2*(m + 1)*(4*m - 1)/11
Let u(s) = -5*s**4 - 6*s**3 - 11*s**2 - 14*s - 6. Let t(c) = 27*c**4 + 30*c**3 + 54*c**2 + 71*c + 31. Let g(d) = 4*t(d) + 22*u(d). Solve g(q) = 0 for q.
-2, -1
Let j be -2 + ((-9)/(-6))/(270/100)*9. Find w, given that -1/4 + 1/2*w - 1/2*w**j + 1/4*w**4 + 0*w**2 = 0.
-1, 1
Let c(y) be the second derivative of y**5/50 + y**4/6 - 8*y**3/15 - 12*y**2/5 + 678*y. Determine k so that c(k) = 0.
-6, -1, 2
Let t(g) = -g**3 + 14*g**2 - 15*g + 28. Let i be t(13). Factor 5*n**5 - 18*n**4 - 5*n**i + 13*n**4 + 15*n**3 - 10*n**4.
5*n**2*(n - 1)**3
Factor 7*r**4 - 115*r**3 - 2052*r - 143 - 10*r**4 + 1735 - 1218*r**2 + 352.
-(r + 3)*(r + 18)**2*(3*r - 2)
Let f(v) be the second derivative of -v**6/1140 - 7*v**5/570 - 4*v**4/57 - 4*v**3/19 + 3*v**2 - 37*v. Let i(s) be the first derivative of f(s). Factor i(q).
-2*(q + 2)**2*(q + 3)/19
Let r be ((-9)/18)/(136/(-66) + 2). Let w = -95/12 + r. Let -2*h - 3 - w*h**2 = 0. Calculate h.
-3
Let y be -1 + 4 + -3 - -5. Suppose -17 - 8 = -y*l. Factor -l*b**2 + 0 - 4 + 1 + 2*b**2 - 6*b.
-3*(b + 1)**2
Let u(a) = a**3 - a**2 + 1. Let b(t) = -5*t**4 - 2*t**3 + 22*t**2 - 2. Let q(p) = b(p) + 2*u(p). Solve q(w) = 0.
-2, 0, 2
Suppose 0 = -5*g + 12*g. Let w(l) be the third derivative of g*l**7 + 0*l**4 + 0*l**5 + 0 + 7*l**2 - 1/960*l**6 + 0*l + 0*l**3 + 1/2688*l**8. Factor w(a).
a**3*(a - 1)*(a + 1)/8
Let s(h) = h**3 - 7*h**2 + 66*h - 280. Let k be s(5). Solve -1/3*t + k - 1/3*t**2 = 0 for t.
-1, 0
Let g = 7122/5 + -28473/20. Suppose 9*y + 9/2*y**2 + g*y**3 + 6 = 0. Calculate y.
-2
Solve -2/3*x**2 - 16/3*x + 56 = 0.
-14, 6
Find l, given that 6*l**3 + 19*l**2 + 0 - 2*l**3 + l**3 - 6 - 19*l - 27*l**2 = 0.
-1, -2/5, 3
Let l(t) be the third derivative of t + 1/270*t**5 + 0*t**4 + 1/1080*t**6 + 0 + 2*t**2 + 0*t**3. Determine p, given that l(p) = 0.
-2, 0
Let p(k) be the first derivative of 2*k**3/9 - 68*k**2/3 + 2312*k/3 - 118. Suppose p(d) = 0. What is d?
34
Factor 12 - 17*w**3 - 6*w**2 - 19*w**3 - 9*w**3 + 45*w - 6*w**2.
-3*(w - 1)*(w + 1)*(15*w + 4)
Let m be 0*2/6 + 2. Factor 15 - 3*y**m - 35 + 14 + 9*y.
-3*(y - 2)*(y - 1)
What is k in -2/7 + 2/7*k**2 + 1/7*k**3 - 1/7*k = 0?
-2, -1, 1
Let d(s) be the third derivative of s**5/270 + 7*s**4/54 + 13*s**3/27 + 165*s**2 - 1. Determine b so that d(b) = 0.
-13, -1
Suppose -78*a - 10 = -80*a. Solve 6*q**2 - 2 - a*q - 8*q**2 + q = 0.
-1
Determine c, given that 243/2*c**2 - 18*c + 2/3 = 0.
2/27
Factor 102*f - 350 - 45*f - 5*f**2 + 110 + 38*f.
-5*(f - 16)*(f - 3)
Let p be (-17)/102 - ((-15)/6)/5. Suppose 0 + 1/3*s**2 - 1/9*s**3 + 2/9*s - p*s**4 - 1/9*s**5 = 0. Calculate s.
-2, -1, 0, 1
Let d(y) = -4*y**3 + 3*y**2 - y - 1. Let o be d(1). Let j be -1 + 3 + o - (-12)/10. Suppose -3/5*s - 1/5*s**3 - 3/5*s**2 - j = 0. Calculate s.
-1
Let k(x) be the second derivative of -6*x - 1/21*x**7 - x**3 + 2/5*x**5 - 1/3*x**4 + 2/15*x**6 + 0 + 0*x**2. Suppose k(q) = 0. What is q?
-1, 0, 1, 3
Suppose 11 = 6*a - 17*a. Let i be a/5 - (-1)/5. Solve -2/3 + i*l + 2/3*l**2 = 0 for l.
-1, 1
Let g(u) be the second derivative of -u**7/840 - u**6/120 - u**5/40 - u**4/3 - 11*u. Let v(i) be the third derivative of g(i). Let v(h) = 0. Calculate h.
-1
Factor 80*f - 2400 - 2/3*f**2.
-2*(f - 60)**2/3
Let i(s) be the first derivative of -5*s**4/36 + 10*s**3/9 - 5*s**2/2 - 39*s + 22. Let j(d) be the first derivative of i(d). Factor j(a).
-5*(a - 3)*(a - 1)/3
Let o(c) = -5*c + 2737*c**2 + 2*c - 2738*c**2. Let q(m) = 1 + 9*m - 2*m + 3*m**2 - m**2. Let v(l) = -15*o(l) - 6*q(l). Suppose v(x) = 0. What is x?
-2, 1
Determine f so that -24/17*f**2 + 42/17*f + 2/17*f**3 - 20/17 = 0.
1, 10
Let t(o) = o + 5. Let r(g) = -4. Let c(q) = -5*r(q) - 4*t(q). Let v be c(-1). Let 5*w + 23*w**2 - 2*w**v - 13*w**4 - 8*w**2 - 6*w**3 + w = 0. What is w?
-1, -2/5, 0, 1
Suppose 12*u - 21 = -21. Let l(m) be the second derivative of 1/3*m**3 + u*m**2 - 14*m - 1/2*m**4 + 0 - 1/15*m**6 + 3/10*m**5. Factor l(a).
-2*a*(a - 1)**3
Suppose 5*o = u + 1126, -2*u + 0*u - 1127 = -5*o. Suppose -o*p - 4*p**4 + 225*p = 0. Calculate p.
0
Let k(l) be the third derivative of l**9/120960 + l**8/13440 + l**7/5040 + l**5/12 - 5*l**2. Let w(a) be the third derivative of k(a). Factor w(j).
j*(j + 1)*(j + 2)/2
Let s(k) be the second derivative of -11*k**5/40 - 53*k**4/24 + 19*k**3/3 - 3*k**2 + 143*k. Factor s(w).
-(w - 1)*(w + 6)*(11*w - 2)/2
Determine m, given that -192*m + 84*m**4 - 77*m**2 + 449*m - 177*m - 7*m**2 - 76*m**3 - 4*m**5 = 0.
-1, 0, 1, 20
Let c = 18 - 141/7. Let q = 51/14 + c. Suppose 0 + q*r + 3/4*r**4 - 9/4*r**2 + 0*r**3 = 0. Calculate r.
-2, 0, 1
Let l(h) = h**2 - h - 1. Let g(j) = -8*j**2 - 240*j + 62. Let b(r) = g(r) - 6*l(r). Let b(i) = 0. Calculate i.
-17, 2/7
Let j(c) be the second derivative of 11/2*c**3 + 0 - c - c**4 - 3/20*c**5 - 9*c**2. Factor j(f).
-3*(f - 1)**2*(f + 6)
Let r(i) be the first derivative of i**4/54 - 7*i**3/27 + 2*i**2/3 - 3*i - 7. Let o(u) be the first derivative of r(u). Let o(b) = 0. What is b?
1, 6
Let n(u) = 4*u**2 - 4*u**2 - u**2 + u + 3*u**2 - 7*u**3. Let g be n(-1). Factor -52/5*w**2 + 16/5 + 14/5*w**3 + g*w.
2*(w - 2)**2*(7*w + 2)/5
Let g(d) be the third derivative of -d**6/150 + 11*d**5/75 + 4*d**4/3 + 56*d**3/15 - 337*d**2. Determine q, given that g(q) = 0.
-2, -1, 14
Let z(b) = b**3 + 16*b**2 + 16*b + 15. Let m be z(-15