*l**2. Factor r(m).
(m - 3)**4/2
Find z such that -4*z - 2/3*z**2 - 6 = 0.
-3
Let c be 2 + 0 + 16/(-10). Let z(t) = t**3 - 12*t**2 - 47*t + 30. Let n be z(15). Factor -2/15*f**2 + n + c*f.
-2*f*(f - 3)/15
Let b(f) be the second derivative of 1/6*f**4 + 0*f**3 + 0 + 1/5*f**5 + 0*f**2 + 25*f + 1/15*f**6. Factor b(g).
2*g**2*(g + 1)**2
Determine d, given that -420*d**2 - d**5 + 4*d**4 + 3*d**5 - 2*d**3 + 416*d**2 = 0.
-2, -1, 0, 1
Solve i**2 - 4*i**3 + 64 + 208/3*i + 1/3*i**4 = 0.
-3, -1, 8
Factor -47*g + 14*g + 2*g**2 + 11*g + 26*g.
2*g*(g + 2)
Let n(o) be the first derivative of 5*o**2 + 5*o**4 - 9 - o**5 + 0*o - 25/3*o**3. Solve n(l) = 0 for l.
0, 1, 2
Let f be 1/((-4)/8) - -26. Let h be (f/18)/(0 - (-6)/1). Find x, given that 0*x + 0*x**4 - h*x**5 + 2/3*x**3 + 0 + 4/9*x**2 = 0.
-1, 0, 2
Let v be 4*(-366)/168 + 4/(-14). Let o(p) = p + 14. Let j be o(v). Factor -1/2*n**2 + n - 19/2*n**4 + 0 - 15/2*n**3 - 7/2*n**j.
-n*(n + 1)**3*(7*n - 2)/2
Factor 6*w**2 - 16*w + 5*w**3 + 27*w**4 + 13*w**2 - 3*w**2 - 31*w**4 - w**3.
-4*w*(w - 2)*(w - 1)*(w + 2)
Let y(b) = -2*b**3 - 19*b**2 - 42*b - 14. Let g(u) = 12*u**3 + 115*u**2 + 16 - 15 + 253*u + 82. Let r(a) = 6*g(a) + 39*y(a). Factor r(o).
-3*(o + 4)**2*(2*o + 1)
Let -736*l**2 + 9*l - 7*l**3 + 727*l**2 + 8*l**3 + 25 + 6*l = 0. Calculate l.
-1, 5
Let y(r) be the third derivative of -r**6/72 - r**5/18 + 5*r**4/24 + 58*r**2. Suppose y(s) = 0. What is s?
-3, 0, 1
Let h = -2/4087 - -8188/28609. Solve 0 + 0*t + 2/7*t**3 + h*t**2 = 0.
-1, 0
Let t(o) be the third derivative of o**8/168 - o**7/15 + o**6/4 - 13*o**5/30 + o**4/3 + 34*o**2. Factor t(b).
2*b*(b - 4)*(b - 1)**3
Let r(d) = d**4 + 2*d**3 - 2*d**2 - d - 5. Let i(q) = 12*q**3 + 4 - 13*q**3 + 0*q + q + q**2 - q**4. Let h(t) = 5*i(t) + 4*r(t). Solve h(o) = 0 for o.
0, 1
Let m(o) be the first derivative of -o**6/2 - 12*o**5/5 + 93*o**4/4 + 142*o**3 + 270*o**2 + 216*o + 72. What is c in m(c) = 0?
-6, -2, -1, 6
Let m(r) be the third derivative of r**7/21 - 3*r**6/8 + 5*r**5/6 - 5*r**4/8 + 15*r**2 - 14. Factor m(o).
5*o*(o - 3)*(o - 1)*(2*o - 1)
Let s(j) = -j**2 + 17*j - 64. Let r be s(6). Let i(y) be the first derivative of -4/7*y**r + 4/21*y**3 + 1/14*y**4 + 0*y - 7 - 1/35*y**5. Factor i(w).
-w*(w - 2)**2*(w + 2)/7
Factor -2048/3 + 128/3*v - 2/3*v**2.
-2*(v - 32)**2/3
Let z(u) be the first derivative of -u**4/18 + 4*u**2/3 + 26*u + 22. Let m(q) be the first derivative of z(q). Suppose m(j) = 0. Calculate j.
-2, 2
Let z(r) = -392*r + 1176. Let t be z(3). Factor -3*x**3 + 12*x + t*x**2 - 3/4*x**4 + 12.
-3*(x - 2)*(x + 2)**3/4
Let a be (6 + -4 + 14)*2/4. Suppose -18*j + 14*j + a = 0. What is z in -2/11 + 2/11*z**j + 0*z = 0?
-1, 1
Let z(b) be the third derivative of 2*b**7/105 - b**6/15 - b**5/15 + b**4/3 + 15*b**2. Solve z(o) = 0.
-1, 0, 1, 2
Let m(b) = 10*b**2 - 20*b + 5. Let h(d) = -d. Let o be h(-6). Let z(a) = -11*a**2 + 20*a - 6. Let u(s) = o*m(s) + 5*z(s). Factor u(t).
5*t*(t - 4)
Let v = 188 - 170. Let s be (16/v)/(4/6). Factor -8/3*w**3 - 4/3 + 8/3*w + s*w**4 + 0*w**2.
4*(w - 1)**3*(w + 1)/3
Let j(t) be the first derivative of 2*t**5/5 - 7*t**4/2 - 2*t**3 + 19*t**2 + 28*t - 30. Factor j(o).
2*(o - 7)*(o - 2)*(o + 1)**2
Let s be (-1)/((3 - 5)/2) - -3. Let 9*u**s - 3*u**5 - 45*u**2 - 34*u**3 + 55*u**3 + 0*u**2 - 54*u = 0. Calculate u.
-2, -1, 0, 3
Let n(b) be the first derivative of 3*b**4/20 + 14*b**3/5 - 7. Factor n(p).
3*p**2*(p + 14)/5
Suppose 0 = 3*m + 6*m + 5*m. Factor 4/3*r**2 + 0 + m*r - 2/3*r**3.
-2*r**2*(r - 2)/3
Let m = -2045 + 2048. Solve 4/9*g + 22/9*g**2 + 10/9*g**5 + 14/3*g**m + 34/9*g**4 + 0 = 0 for g.
-1, -2/5, 0
Factor 59*o**2 - 40*o - 3 - 38*o**2 + 21*o**2 + 3 - 2*o**3.
-2*o*(o - 20)*(o - 1)
Let m(x) be the first derivative of x**6/30 + 4*x**5/15 - 11*x**4/6 + 4*x**3 + 8*x**2 + 3. Let c(d) be the second derivative of m(d). Find b such that c(b) = 0.
-6, 1
Factor 25*c**4 - 15*c - 4*c**4 - 18*c**4 + 15*c**3 - 21*c**2 + 18.
3*(c - 1)**2*(c + 1)*(c + 6)
Let a(p) = 5*p**3 - 133*p**2 - 5*p + 141. Let n(w) = -4*w**3 + 136*w**2 + 4*w - 142. Let f(b) = -3*a(b) - 4*n(b). Factor f(i).
(i - 145)*(i - 1)*(i + 1)
Let -7/8*s**3 - 3/4 + 25/8*s - 3/2*s**2 = 0. Calculate s.
-3, 2/7, 1
Let w(c) be the third derivative of c**5/300 + 11*c**4/40 - 7*c**3/3 + c**2 + 167*c. Suppose w(j) = 0. What is j?
-35, 2
Suppose 1 - 32*a**3 - 120*a + 0 + 80*a - 5 - 68*a**2 = 0. What is a?
-1, -1/8
Suppose 8*x = 70 - 30. Suppose 16/9*g**3 + 0 - 10/9*g**4 - 8/9*g**2 + 2/9*g**x + 0*g = 0. What is g?
0, 1, 2
Let k(i) = -13*i**3 + 3*i**2 + 13*i - 13. Let x be -1 - (-6)/3 - (-14)/2. Let o(w) = -20*w**3 + 4*w**2 + 20*w - 20. Let j(l) = x*k(l) - 5*o(l). Factor j(z).
-4*(z - 1)**2*(z + 1)
Suppose 4*m**3 - 7*m**3 + 21*m**2 - 2*m**3 - 21*m + 2*m**3 - 45 = 0. What is m?
-1, 3, 5
Let h(f) be the first derivative of 2*f**3/45 + 178*f**2/15 + 15842*f/15 - 81. Determine c, given that h(c) = 0.
-89
Let r(v) be the first derivative of -4*v**3/15 - 48*v**2/5 - 176*v/5 + 223. What is o in r(o) = 0?
-22, -2
Let c(l) be the first derivative of 20*l**2 + 5/6*l**6 - 25/4*l**4 - 30 - 20*l + l**5 - 5/3*l**3. Determine p so that c(p) = 0.
-2, 1
Suppose 8*m - 176 = -14*m. Suppose -2*v = -2*j - 12, 3*v + m = 5*v - j. Solve -4/7*h**3 + 0*h + 8/7*h**v - 92/7*h**4 + 0 - 80/7*h**5 = 0 for h.
-1, -2/5, 0, 1/4
Let d be (-5481)/(-84)*(-2 - (-82)/21). Let q = d + -124. Let q*u**2 + 0 + 4/7*u = 0. Calculate u.
-2, 0
Factor 51/4*k**4 + 867/2*k - 4913 + 19601/4*k**2 - 1/8*k**5 - 3467/8*k**3.
-(k - 34)**3*(k - 1)*(k + 1)/8
Let d be (-1404)/585*5/(-22). Let n(w) be the first derivative of -2/11*w + d*w**3 - 1/2*w**4 - 1/11*w**2 - 1 + 8/55*w**5. Suppose n(u) = 0. Calculate u.
-1/4, 1
Factor 24/5*i**2 + 54/5 + 63/5*i + 3/5*i**3.
3*(i + 2)*(i + 3)**2/5
Factor 1/2*s**2 + 6962 + 118*s.
(s + 118)**2/2
Suppose -5*t + 75 = -2*x + 641, 4*x = t + 124. Let s = t - -115. Let -4/3 + 2/3*v**s - 4*v + v**4 - 3*v**2 = 0. What is v?
-1, -2/3, 2
Let f be -4 - (-1)/((-3)/(-21)). Let a(p) be the second derivative of 0*p**2 + 2/15*p**6 + 0*p**f + 4*p - 1/21*p**4 + 3/70*p**5 + 0. Factor a(s).
2*s**2*(2*s + 1)*(7*s - 2)/7
Let d(l) = -l**4 + l**3 - 13*l**2 + 7*l + 2. Let i(m) = 38*m**2 - 21*m + 11*m**3 + 3*m**4 - 5 + 0 - 15*m**3. Let z(y) = 11*d(y) + 4*i(y). Factor z(o).
(o - 2)*(o - 1)**3
Let c(m) = 558*m - 3345. Let q be c(6). Suppose 0 + 6/7*j**2 + 4/7*j + 0*j**q - 2/7*j**4 = 0. What is j?
-1, 0, 2
Let c be 1 - (-3 + (1 - -1)). Let j be (5/c)/((-5)/(-10)). Factor -6*x**5 + 2*x + 2*x**2 + 4*x**j + 4*x**4 - 6*x**2.
-2*x*(x - 1)**3*(x + 1)
Let v = 287 - 287. Let k(u) be the first derivative of 1/18*u**6 - 2/15*u**5 + 0*u**3 + 0*u - 6 + v*u**2 + 1/12*u**4. Find y, given that k(y) = 0.
0, 1
Suppose -534 = -2*i + 2*p, -122 - 412 = -2*i + p. Let h = i + -267. Let h*d + 2/13*d**3 + 0 + 2/13*d**2 = 0. What is d?
-1, 0
Let v(c) = -2*c**5 - 24*c**4 + 261*c**3 - 1174*c**2 + 2229*c - 1299. Let h(g) = g**5 - g**4 + 2*g**3 - g**2 + g + 1. Let d(q) = 3*h(q) + v(q). Factor d(b).
(b - 9)**2*(b - 4)**2*(b - 1)
Let z(c) be the third derivative of c**5/72 - c**4/3 - 5*c**3/9 + 41*c**2 + 2. Factor z(g).
(g - 10)*(5*g + 2)/6
Let q be 10*(4/2 + -1). Suppose -25 = 5*m - q. Let k(h) = h**3 + 5*h**2 - h. Let i(o) = -3*o**2. Let a(r) = m*k(r) - 5*i(r). Find d such that a(d) = 0.
-1, 0, 1
Let i = 18 + -21. Let j be 1/i*(-1 + 2/(-2)). Factor 1/3*c + 2/3*c**2 - 1/3*c**3 - j.
-(c - 2)*(c - 1)*(c + 1)/3
Let o = -31 + 37. Let l(z) = -z**3 - 6*z**2 - 7*z - 4. Let c(m) = -m**3 - m**2 + 1. Let p(r) = o*c(r) + 3*l(r). Find t such that p(t) = 0.
-1, -2/3
Determine v, given that -2/15*v**3 + 0*v**2 + 0*v - 4/15*v**4 + 0 - 2/15*v**5 = 0.
-1, 0
Let y(c) = c**4 - 5*c**3 - c**2 + 11*c + 12. Let g(q) = -q**4 + 5*q**3 - 12*q - 13. Let z(d) = 6*g(d) + 7*y(d). Factor z(r).
(r - 6)*(r - 1)*(r + 1)**2
Let l be (-46 - -42)*(2 - (1 + 2)). Let x(t) be the third derivative of 11*t**2 + 1/8*t**l + 0*t + 1/4*t**3 + 0 + 1/40*t**5. Factor x(o).
3*(o + 1)**2/2
Let x be 5/(-2)*(-304)/95. Suppose -x*n - 42 = -22*n. Factor 0 - 2/9*f**n + 4/9*f**2 - 2/9*f.
-2*f*(f - 1)**2/9
Suppose z + 6 = -i, -4*i - 19*z + 24*z + 48 = 0. Factor -8*c - 340/9*c**4 + 0 - 698/9*c**3 - 136/3*c**i - 50/9*c**5.
-2*c*(c + 3)**2*(5*c + 2)**2/9
Let h = 1063/234 - 79/18. Suppose 0*b + h*b**2 - 2/13*b**3 + 0 = 0. Calcu