**2.
5*w*(w + 7)
Determine o so that -14*o + 40/3 + 2/3*o**2 = 0.
1, 20
Let a = 2067 + -10319/5. Let 36/5*j**2 - a + 48/5*j - 28/5*j**3 = 0. What is j?
-1, 2/7, 2
Let o(b) = 11*b**4 - 6*b**3 + 125*b**2 - 346*b + 324. Let j(x) = -2*x**4 - 3*x**3 + 2*x**2 - x. Let l(n) = -5*j(n) - o(n). Factor l(c).
-(c - 12)*(c - 3)**3
Let b(o) be the second derivative of -o**7/42 - o**6/18 + 19*o**5/30 - 3*o**4/2 + 29*o**3/18 - 5*o**2/6 - 30*o. Solve b(v) = 0.
-5, 1/3, 1
Suppose 18*x = 7*x + 286. Let j be 4*(-1)/10 - x/(-40). Factor 5/4*l**3 + 1/4*l**2 - 2*l - 1/4*l**5 + 1 - j*l**4.
-(l - 1)**3*(l + 2)**2/4
Let x(f) = f**4 + 2*f**3 - f**2 + f - 1. Let a(i) = 5*i**4 + 15*i**3 + 6*i**2 + 2*i - 2. Let k(j) = 3*a(j) - 6*x(j). What is u in k(u) = 0?
-8/3, -1, 0
Let h = -658 - -13163/20. Let j(z) be the second derivative of h*z**4 + 0 + 5*z + 3/10*z**2 + 3/10*z**3 + 3/100*z**5. Let j(a) = 0. What is a?
-1
Suppose 6/13 + 10/13*q**2 - 14/13*q - 2/13*q**3 = 0. Calculate q.
1, 3
Let b be ((-6)/4)/((-3)/430). Let z = 1079/5 - b. Find l, given that z*l**2 + 0 + 2/5*l + 2/5*l**3 = 0.
-1, 0
Let w be 80/(-48)*(1 + -4). Determine c so that 0*c**2 - 4/5*c**w + 0 + 2/5*c**3 + 7/5*c**4 + 0*c = 0.
-1/4, 0, 2
Let h(w) = 2*w - 8. Let x(m) = 1. Let z(a) = h(a) - 2*x(a). Let b be z(6). Let 1/2*c + 1/2*c**3 + 0 + c**b = 0. What is c?
-1, 0
Let g(p) = -7*p**2 + 6052*p + 605993. Let q(b) = -b**2 + 1210*b + 121199. Let a(n) = -2*g(n) + 11*q(n). Find h, given that a(h) = 0.
-201
Let 0 - 5/2*f**2 - 5/2*f = 0. What is f?
-1, 0
Let z(b) = -b**2 + 148*b - 135. Let n(v) = 2*v**2 - 147*v + 127. Let s(y) = 2*n(y) + 3*z(y). Find x such that s(x) = 0.
-151, 1
Let k = 3858 - 19289/5. Find g, given that 0 + 1/5*g - k*g**2 = 0.
0, 1
Let i be (-9 + 540/48)*(-4)/(-3). Let t(u) be the second derivative of -3*u - 4/5*u**2 + 0 - 8/15*u**i - 1/10*u**4. What is k in t(k) = 0?
-2, -2/3
Let z(q) be the third derivative of q**7/105 - q**6/10 - 7*q**5/30 + 9*q**2 - 4*q. Factor z(y).
2*y**2*(y - 7)*(y + 1)
Let j = 143/1128 - 4/47. Let c(k) be the third derivative of 0*k - 6*k**2 - 1/96*k**6 + 0*k**3 - j*k**5 + 0*k**4 + 0. Determine y, given that c(y) = 0.
-2, 0
Let x(d) be the first derivative of -d**4/54 - 2*d**3/9 - 5*d**2/9 - 16*d - 13. Let f(y) be the first derivative of x(y). Determine i so that f(i) = 0.
-5, -1
Let r(h) be the third derivative of 0*h**4 - 13*h**2 + 0 + 1/270*h**5 - 1/216*h**6 + 0*h + 0*h**3. Determine c so that r(c) = 0.
0, 2/5
Let w = -229/7 - -33. Let g(d) = d**3 - 21*d**2 + 34*d + 78. Let o be g(19). Factor 6/7*t**o + w*t**3 + 0 + 4/7*t.
2*t*(t + 1)*(t + 2)/7
Let a(v) be the third derivative of -v**7/1365 - v**6/260 - v**5/390 + v**4/52 + 2*v**3/39 - 52*v**2. Find d such that a(d) = 0.
-2, -1, 1
Let i be (7 - 12)*12/(-10). Factor -4*k**2 + 3*k**2 + 31*k + i - 26*k.
-(k - 6)*(k + 1)
Let x = -21 + 176. Let a = 158 - x. Find b, given that 0*b**4 + 0 + 2/3*b**5 + 0*b**2 + 0*b**a + 0*b = 0.
0
Let d(h) be the third derivative of -h**7/70 - 3*h**6/40 + 7*h**5/20 + 27*h**4/8 + 9*h**3 - 2*h**2 - 315. Determine j so that d(j) = 0.
-3, -2, -1, 3
Let p be (-7 - -10)*16/(-6). Let i be ((-12)/p)/(1/2). Factor 4*g**4 + 5*g**2 - g + 7*g**i - g**2 - 2*g**2.
g*(g + 1)**2*(4*g - 1)
Let p(z) be the third derivative of -35*z**2 + 1/630*z**7 - 1/180*z**5 + 0*z**3 + 0 + 0*z**4 + 0*z + 0*z**6. Factor p(i).
i**2*(i - 1)*(i + 1)/3
Let l(g) be the second derivative of g**5/10 - 10*g**4/3 - 43*g**3/3 - 22*g**2 + 177*g. Find a, given that l(a) = 0.
-1, 22
Let l(u) be the third derivative of -17*u**6/480 - 2*u**5/15 + u**4/24 - 20*u**2 - 1. What is v in l(v) = 0?
-2, 0, 2/17
Let u(r) = 6*r**3 + 3*r**2. Let w(m) be the first derivative of -5*m**4/4 - 2*m**3/3 - 32. Let n(q) = 4*u(q) + 5*w(q). Factor n(i).
-i**2*(i - 2)
Let x = 422 + -420. Factor 0*q + 2/3*q**x - 2/3*q**3 + 0.
-2*q**2*(q - 1)/3
Solve 0 + 16/7*s**4 + 16/7*s - 52/7*s**3 - 52/7*s**2 = 0 for s.
-1, 0, 1/4, 4
Suppose -9*h + 30 = -6. Let c(s) = -s**2 - 32*s - 256. Let n(w) = -w**2 - 32*w - 256. Let y(j) = h*n(j) - 5*c(j). Determine m so that y(m) = 0.
-16
Let p(i) be the second derivative of i**6/10 + 9*i**5/5 - 7*i**4/2 - 6*i**3 + 39*i**2/2 - 124*i. Factor p(h).
3*(h - 1)**2*(h + 1)*(h + 13)
Suppose 5*g - 6 = -1. Let m be (27/(-21) + g)*-7. What is p in 2/3*p - 2/3*p**4 - 2/3 + 4/3*p**m - 4/3*p**3 + 2/3*p**5 = 0?
-1, 1
Suppose -18*c + 169 = -5*c. Let t(u) be the first derivative of 2 - 32*u**2 - 4*u**3 + 16*u - 16/5*u**5 + c*u**4. What is d in t(d) = 0?
-1, 1/4, 2
Let p(o) be the first derivative of o**4/16 - 29*o**3/12 + 195*o**2/8 + 225*o/4 - 19. Factor p(c).
(c - 15)**2*(c + 1)/4
Let s(r) be the second derivative of r**6/10 + 3*r**5/5 + 3*r**4/2 + 2*r**3 + 3*r**2/2 + 290*r. Factor s(f).
3*(f + 1)**4
Let s be (-2264)/810 - (-42)/21. Let d = 2/405 - s. Let -2/5*a**2 - d - 6/5*a = 0. Calculate a.
-2, -1
Let m(u) be the second derivative of -3*u**5/40 - 31*u**4/24 + 11*u**3/6 - u + 125. Find i such that m(i) = 0.
-11, 0, 2/3
Suppose 235 = 3*k + 2*f - 19, 0 = -5*k - 2*f + 434. Factor -k - 5/2*g**2 + 30*g.
-5*(g - 6)**2/2
Solve -238*m**4 - 2480*m - 3032*m**2 + 43*m**4 - 62*m**5 - 349*m**4 - 800 + 26*m**5 - 28*m**5 - 1828*m**3 = 0.
-2, -5/4
Let g(c) be the first derivative of -c**6/120 + c**5/10 - 3*c**4/8 - 19*c**2/2 + 7. Let y(m) be the second derivative of g(m). Factor y(z).
-z*(z - 3)**2
Let r = 2111/4 - 527. Factor r*a**4 + 3/2*a**3 + 0*a**2 - 3/4 - 3/2*a.
3*(a - 1)*(a + 1)**3/4
Suppose -2*n = a + 7, -a = -2*a - 3*n - 4. Let m be 20 - 25 - (-2 + a/3). Find i such that 13/3*i**2 - 4/3*i - m - 5/3*i**3 = 0.
-2/5, 1, 2
Let o(v) be the first derivative of v**6/144 - v**5/24 + 5*v**3/9 - 7*v**2/2 - 11. Let b(a) be the second derivative of o(a). Let b(c) = 0. Calculate c.
-1, 2
Suppose 10 = -s + 2*s. Let d be 16/(-40) + 14/s. Factor -9*k**2 - 9*k**4 - k**4 - 7*k**3 + 8*k**4 - d - 5*k.
-(k + 1)**3*(2*k + 1)
Let a(i) = -234*i + 7958. Let w be a(34). Solve 3/2*v + 1 + 1/2*v**w = 0 for v.
-2, -1
Let a(i) = 3*i**2 - 2*i + 10. Let n be a(-6). Let b be (-12)/28 - n/(-42). Factor -2/3 - 10/3*r - b*r**2.
-2*(r + 1)*(4*r + 1)/3
Let y be 452/90 - (-44 + 49). Let n(p) be the third derivative of y*p**5 + 15*p**2 + 1/3*p**3 + 7/36*p**4 + 0*p + 0. Factor n(r).
2*(r + 3)*(2*r + 1)/3
Let t(j) be the second derivative of -1/8*j**4 + 0 - 3*j**2 - 10*j + j**3. Factor t(k).
-3*(k - 2)**2/2
Let d(j) = j**2 - j + 1. Let s be (-1)/(1 - (-1)/(-2)). Let g(z) = -10*z**2 + 7*z - 2. Let t(i) = s*g(i) - 2*d(i). Find q such that t(q) = 0.
1/3
Let q(x) be the third derivative of -x**6/720 + 11*x**5/36 + x**4/144 - 55*x**3/18 + 561*x**2. Factor q(t).
-(t - 110)*(t - 1)*(t + 1)/6
Factor 2/3*w**4 - 196/3 + 22*w**2 + 154/3*w - 26/3*w**3.
2*(w - 7)**2*(w - 1)*(w + 2)/3
Let j(r) be the third derivative of -r**6/180 - 2*r**5/135 + 49*r**4/108 - 10*r**3/9 - 2*r**2 - 77*r. Solve j(p) = 0 for p.
-5, 2/3, 3
Let l(b) = 4*b**3 - 900*b**2 + 50168*b + 51078. Let f(p) = -16*p**3 + 3600*p**2 - 200670*p - 204313. Let c(o) = 2*f(o) + 9*l(o). Let c(n) = 0. Calculate n.
-1, 113
Let b(f) be the second derivative of -f**5/50 - 17*f**4/15 - 11*f**3/5 - 37*f - 2. Factor b(r).
-2*r*(r + 1)*(r + 33)/5
Let a(m) be the third derivative of -m**8/336 + m**7/56 - m**6/36 + 19*m**3/2 - m**2 + 8*m. Let z(b) be the first derivative of a(b). Factor z(t).
-5*t**2*(t - 2)*(t - 1)
Let k(s) = -2*s**4 - 2*s - 1. Let f(m) = -9*m**4 - 6*m**3 + 3*m**2 - 5. Let n(d) = -f(d) + 5*k(d). Factor n(j).
-j*(j - 5)*(j - 2)*(j + 1)
Let r(k) be the second derivative of 2/9*k**3 - 1/60*k**5 + 25*k + 0 + 1/18*k**4 - 4/3*k**2. Factor r(v).
-(v - 2)**2*(v + 2)/3
Let t = 26 - 22. Suppose 4*r + 0*u + 3*u = -1, -5*u - 17 = -r. Solve 4*x**4 - 18*x**2 - x**r + 7*x**2 + t*x + 3*x**3 - 7*x**3 + 8 = 0 for x.
-1, 1, 2
Find r such that 6*r - 27*r + 6864 + 6*r**2 - 6852 + 0*r**2 + 3*r**3 = 0.
-4, 1
Let h(s) be the first derivative of s**4/20 - 8*s**3/15 - 19*s**2/10 - 2*s - 373. Factor h(b).
(b - 10)*(b + 1)**2/5
Let p(i) be the second derivative of 11*i**4/3 - 6*i**3 - 4*i**2 + 8*i - 4. Factor p(x).
4*(x - 1)*(11*x + 2)
Let d(f) = -f**2 - 10*f + 11. Let g be d(1). Factor 2*t**2 + g - 1/2*t**3 - 3/2*t.
-t*(t - 3)*(t - 1)/2
Factor -1/4*s**2 - 55/2 + 27/4*s.
-(s - 22)*(s - 5)/4
Let r(o) be the second derivative of -o**10/8064 - o**9/3780 - o**8/6720 - 5*o**4