 Factor v(w).
w*(w + 1)
Let z(f) be the first derivative of f**4/18 - 2*f**3/9 - f**2 - 13*f - 10. Let q(j) be the first derivative of z(j). Determine h, given that q(h) = 0.
-1, 3
Suppose -3*u + u = -t - 25, 31 = 3*u + 5*t. Suppose u + 5 = k + 3*s, -2*s + 18 = 4*k. Let k*g - 2 + 2*g + 7*g**2 + g = 0. Calculate g.
-1, 2/7
Let b be -4 + (-3)/(-24)*50. Let a = b + -3/2. Let 1/4*k**3 - a*k + 0*k**2 + 1/2 = 0. What is k?
-2, 1
Let k(q) be the second derivative of q**4/3 + 6*q**3 - 20*q**2 - 448*q. Factor k(j).
4*(j - 1)*(j + 10)
Let r = 269 - 182. Suppose -22 = 13*s - r. Factor -2/5*z**2 - 2/5*z**3 + 1/5*z**4 + 1/5*z + 1/5 + 1/5*z**s.
(z - 1)**2*(z + 1)**3/5
Let j(v) = -18*v**4 + 6*v**3 + 9*v**2 - 3. Let c(y) = -y**5 - 56*y**4 + 19*y**3 + 24*y**2 - 10. Let o(h) = -3*c(h) + 10*j(h). Find r, given that o(r) = 0.
-1, 0, 2, 3
Let w = 10558/3 - 3518. Suppose 0 = 5*i - 6 - 4. Factor w*y**3 + 0*y - i*y**4 + 0 + 0*y**2.
-2*y**3*(3*y - 2)/3
Factor 11/3*j + 2/3*j**5 - 23/3*j**2 + 23/3*j**3 - 2/3 - 11/3*j**4.
(j - 2)*(j - 1)**3*(2*j - 1)/3
Let y be -2 - (0 - 3) - (-4 + 4). Suppose 0 = i + 2*k + y + 7, 2*k = -8. Let 1/3*w + i - 1/3*w**2 = 0. Calculate w.
0, 1
Let -9*u**5 + 16*u**2 + 0*u**2 + 8*u**5 - 3*u**5 - 36*u**3 + 24*u**4 = 0. Calculate u.
0, 1, 4
Let z be 96/42 - (-1 + 2 + 1). Let k = z + 1/21. Factor -b**2 - k - b - 1/3*b**3.
-(b + 1)**3/3
Let d(w) be the second derivative of w**7/56 + w**6/20 - w**4/8 - w**3/8 + 34*w + 2. Factor d(t).
3*t*(t - 1)*(t + 1)**3/4
Let s(g) be the third derivative of -9/5*g**5 + 2*g**3 + 0*g - 2/3*g**4 + 0 - 2/3*g**6 - 9*g**2. Factor s(r).
-4*(r + 1)*(4*r - 1)*(5*r + 3)
Let b(x) be the second derivative of x**6/15 + 9*x**5/10 - 7*x**4/2 + 11*x**3/3 - 410*x. Determine o, given that b(o) = 0.
-11, 0, 1
Let x(k) = -5*k + 44. Let b be x(0). Let 5*c**2 + b*c + 5*c**3 - 38*c - 26*c - 20 = 0. Calculate c.
-2, -1, 2
Determine u, given that 13*u**3 + 3964*u**2 + 62*u**4 + 12 + 121*u**3 - 4*u**4 - 3794*u**2 + 82*u + 8*u**5 + 16*u**3 = 0.
-3, -2, -1, -1/4
Let f(b) be the first derivative of -b**8/1680 - b**7/150 - 11*b**6/600 - b**5/60 + 17*b**2 - 23. Let o(u) be the second derivative of f(u). Factor o(z).
-z**2*(z + 1)**2*(z + 5)/5
Let c = -695/6 - -116. Let q(w) be the second derivative of 0*w**2 + c*w**3 - 7/24*w**4 - 5*w + 0 - 9/40*w**5. Solve q(h) = 0.
-1, 0, 2/9
Let s be 252/21 + 11/(165/(-162)). Suppose -s + 3/5*j + 3/5*j**2 = 0. Calculate j.
-2, 1
Determine k so that 98/5*k**2 + 49/5*k**4 + 0 - 24/5*k - 6/5*k**5 - 123/5*k**3 = 0.
0, 1/2, 2/3, 3, 4
Let l(r) be the third derivative of 0*r - 1/15*r**5 + 0 + 1/6*r**4 + 0*r**3 + 5*r**2. Find y such that l(y) = 0.
0, 1
Let j be (432/540)/(2*2/50). Let l(c) = -4*c**3 - 8*c**2 + 7*c + 5. Let f(p) = p**3 + p**2 - p - 1. Let r(d) = j*f(d) + 2*l(d). Factor r(z).
2*z*(z - 2)*(z - 1)
Let y(d) = -7 - d - 18 + 8 + 2*d**2 + 1. Let s(z) = -6*z**2 + 2*z + 48. Let b(p) = 6*s(p) + 20*y(p). Find a, given that b(a) = 0.
-2, 4
Let f(w) be the second derivative of w**4/12 + w**3/3 + w**2/2 + 41*w. Factor f(g).
(g + 1)**2
Let v(f) be the first derivative of f**8/84 - 2*f**7/35 + f**6/10 - f**5/15 + f**2 - 21. Let q(g) be the second derivative of v(g). Factor q(k).
4*k**2*(k - 1)**3
Let i(y) = y**5 + y**4 - y**3 + y - 2. Let t(v) = 3*v**5 - 17*v**4 - 23*v**3 + 15*v**2 + 18*v + 4. Let k(w) = 2*i(w) + t(w). Find d such that k(d) = 0.
-1, 0, 1, 4
Let o = -36/277 + 349/554. Factor -1/2*b**3 + 1/2*b + 1 + o*b**4 - 3/2*b**2.
(b - 2)*(b - 1)*(b + 1)**2/2
Determine b, given that -76/7*b**2 + 3*b + 16/7*b**5 - 2/7 + 113/7*b**3 - 72/7*b**4 = 0.
1/4, 1, 2
Let v be 12/4 - (-1 + 1). Suppose 1 - 1 + 11*p + 12*p**2 - 3*p + 4*p**v = 0. Calculate p.
-2, -1, 0
Let g = 349 - 344. Let d(q) be the first derivative of 1/6*q**3 + 1/2*q + 1/2*q**2 - g. Let d(y) = 0. Calculate y.
-1
Let z(o) = 190*o**2 + 16080*o + 767125. Let v(g) = -11*g**2 - 946*g - 45125. Let s(m) = 35*v(m) + 2*z(m). Factor s(x).
-5*(x + 95)**2
Factor -15/4*g**2 + 3/8*g**4 + 0*g + 0 + 27/8*g**3.
3*g**2*(g - 1)*(g + 10)/8
Let k(u) be the third derivative of -u**6/360 - 11*u**5/15 - 131*u**4/72 - 76*u**2 + 2. Let k(h) = 0. Calculate h.
-131, -1, 0
Let g(s) be the second derivative of -s**5/10 - 13*s**4/18 - 8*s**3/9 + 4*s**2 - 25*s - 6. Factor g(v).
-2*(v + 2)*(v + 3)*(3*v - 2)/3
Let t be -19 - -1 - ((-8 - -5) + 3). Let l be (3/9)/((-2)/t). Find y, given that -4/5*y + 18/5*y**2 - 8/5 + 1/5*y**l + 3/5*y**5 - 2*y**4 = 0.
-1, -2/3, 1, 2
Let t be 6*(-14)/84 + 1/1. Determine f, given that 0 + 3*f**3 + t*f + 9/5*f**2 = 0.
-3/5, 0
Let c(u) be the first derivative of -5*u**6/6 - 9*u**5 + 15*u**4/4 + 145*u**3/3 + 45*u**2 + 378. Find y such that c(y) = 0.
-9, -1, 0, 2
Let n(f) be the second derivative of f**7/147 - f**6/3 + 198*f**5/35 - 216*f**4/7 - 576*f**3/7 - 35*f. Determine j so that n(j) = 0.
-1, 0, 12
Factor -9/4*p**4 - 21/4*p**3 + 0 + 25/4*p + 5/4*p**2.
-p*(p - 1)*(3*p + 5)**2/4
Factor 7*z + 23*z + 4*z**2 - 3*z**2 + 2*z**2.
3*z*(z + 10)
Let j(o) = 2*o + 23*o**5 + 22*o**5 - 53*o**5 - 28*o**2 + 30*o**3. Let n(q) = -q**5 + q**4 + q**2 + q. Let m(p) = -j(p) - 2*n(p). Find h, given that m(h) = 0.
-2, 0, 1/5, 1
Let a(y) be the second derivative of -y**6/480 + y**5/40 - 3*y**4/32 + 9*y**2 - 5*y. Let i(c) be the first derivative of a(c). Factor i(d).
-d*(d - 3)**2/4
Let w = 15 - 12. Factor 5*f**2 - w*f**2 + 3*f**2 - 3*f**2 + 8*f.
2*f*(f + 4)
Let j(t) = -198375*t**3 + 65550*t**2 + 5286*t + 96. Let y(g) = 396750*g**3 - 131100*g**2 - 10573*g - 192. Let p(s) = -13*j(s) - 6*y(s). Factor p(a).
3*(5*a - 2)*(115*a + 4)**2
Let w(a) = -a**2 + 10*a + 75. Let q(u) = 2*u**2 - 20*u - 150. Let c(x) = -2*q(x) - 5*w(x). Factor c(z).
(z - 15)*(z + 5)
Let m(l) = 60*l - 536. Let h be m(9). Let r be ((-6)/(-10))/(54/60). Factor 2/3*u**h + r*u**2 + 0 + 0*u - 4/3*u**3.
2*u**2*(u - 1)**2/3
Suppose 15*n - 18 = 12*n. Let g = 11 - n. Determine a, given that -19*a**5 - 24*a**3 - 2*a**g - 41*a**4 + 60*a**2 - 64*a**2 = 0.
-1, -2/3, -2/7, 0
Determine s so that 2*s**5 + 50*s**3 - 3*s**5 + 6*s**5 - 60*s**2 - 66*s + 74*s**4 + 11*s - 14*s**4 = 0.
-11, -1, 0, 1
Let v be (-4 + 50/12)/(27/58). Let n = -2/81 + v. Suppose -1/3 + n*s**3 + s**2 - 1/3*s - 2/3*s**4 = 0. What is s?
-1, -1/2, 1
Factor 121/4 - 1/4*o**4 + 11/2*o - 11/2*o**3 - 30*o**2.
-(o - 1)*(o + 1)*(o + 11)**2/4
Let j(v) = -5*v**3 + 4*v**2 - 4*v - 8. Let g(q) = 9*q**3 - 7*q**2 + 7*q + 15. Let p(c) = 4*g(c) + 7*j(c). Let x(r) be the first derivative of p(r). Factor x(y).
3*y**2
Let b(y) = 53*y**2 - 10 + 13 - 7*y - 54*y**2. Let p be b(-7). Factor 48/5*k - 8/5 - 42/5*k**2 - 98/5*k**p.
-2*(k + 1)*(7*k - 2)**2/5
Let w be 25/15*((-72)/30)/(-2). Let r(a) be the second derivative of 0*a**w - 2*a - 1/2*a**3 + 1/2*a**4 + 0 - 3/20*a**5. Determine d, given that r(d) = 0.
0, 1
Let u(i) = 2 + 2*i - 2*i - 4*i - 3. Let w be u(-1). Factor -6*d**2 - d**3 - w*d + 0*d**3 - 2*d**3.
-3*d*(d + 1)**2
Suppose 48/11*w + 6/11*w**2 + 90/11 = 0. What is w?
-5, -3
Let q(m) = -2*m**2 - 21*m + 3. Let i be q(-9). Solve i - 2*z**2 + 22 - 50 = 0 for z.
-1, 1
Suppose 16/5*y + 3 + 1/5*y**2 = 0. What is y?
-15, -1
Let z(k) = 20*k**2 - 11*k - 11. Let f be z(-6). Let r = f - 8513/11. Find h, given that 8/11*h**4 - 14/11*h**3 + 4/11 - r*h**2 + 14/11*h = 0.
-1, -1/4, 1, 2
Suppose -253*k**2 + 2 + 28*k**3 + 5*k**4 + 10*k + 278*k**2 - 2 - 8*k**3 = 0. Calculate k.
-2, -1, 0
Factor 37/4*b - 19/2 + 1/4*b**2.
(b - 1)*(b + 38)/4
Let o(n) be the first derivative of -n**4/30 + 26*n**3/15 - 5*n**2 + 74*n/15 - 81. Factor o(h).
-2*(h - 37)*(h - 1)**2/15
Solve 15/4*s**2 + 4*s + 1/4 = 0.
-1, -1/15
Let l(b) be the second derivative of -2*b**7/147 + b**5/35 - 46*b. Determine v, given that l(v) = 0.
-1, 0, 1
Let z(p) be the first derivative of 0*p**5 + 0*p - 3 - 1/2*p**6 + 0*p**2 + 0*p**3 + 3/4*p**4. Solve z(b) = 0 for b.
-1, 0, 1
Let v be 3/((-42)/(-4)) + 1056/2772. Factor 0*a + 0 + a**3 + 1/3*a**4 + v*a**2.
a**2*(a + 1)*(a + 2)/3
Solve -12/7 + 2*y - 2/7*y**2 = 0 for y.
1, 6
Let o = 736/51 - -38/17. Let k = o + -14. Factor -2/3*s**5 - 2/3*s - 4*s**3 + k*s**2 + 0 + 8/3*s**4.
-2*s*(s - 1)**4/3
Let y(w) = -2*w**3 + w. Let u(z) = 25*z**3 + 15*z**2 - 10*z - 15. Let j(m) = -u(m) - 15*y(m). What is v in j(v) = 0?
-1, 1, 3
Let f(o) be the second derivative of 18*o**6/35 + 216*o**5/35 + 120*o**4/7 + 64*o**3/