5*v - i - 1/5*v**3 - 6/5*v**2.
-(v + 2)**3/5
Let a(j) = -j**3 - 5*j**2 + 4. Let w be a(-5). Let v = w + -2. Determine n so that 0*n**5 + n**5 - n**3 + 2*n**3 - v*n**4 = 0.
0, 1
Let m be (4 - 16/4)/2. Factor 0*j - j**2 + 1/2*j**4 + m*j**3 + 1/2.
(j - 1)**2*(j + 1)**2/2
Let x be (-20)/(-70) - 8/(-21). Suppose -3*p + 0*p = 0. Factor x*a**5 - 2*a**4 + 2*a**3 - 2/3*a**2 + p + 0*a.
2*a**2*(a - 1)**3/3
Let u = -1840/3 - -614. Factor 2/3*o + 0 + 2*o**3 + 2*o**2 + u*o**4.
2*o*(o + 1)**3/3
Suppose 2*u + 4 = 8. Determine g so that -1/3*g**4 + 0*g - 1/3*g**3 + 0 + 0*g**u = 0.
-1, 0
Factor 20*k + 5*k**5 - 13*k**2 - 3*k**2 - 13*k**3 + 16*k**4 - k**5 - 11*k**3.
4*k*(k - 1)**2*(k + 1)*(k + 5)
Let g(r) be the second derivative of -r**4/4 + 2*r**3 - 6*r**2 + 7*r. Let g(w) = 0. Calculate w.
2
Let y(j) be the first derivative of j**5/5 - j**4/4 - j**3/3 + j**2/2 - 8. Factor y(i).
i*(i - 1)**2*(i + 1)
Let j(r) be the second derivative of 0*r**2 - 1/6*r**3 - 1/12*r**4 - 3*r + 0. Factor j(h).
-h*(h + 1)
Let z(o) = 4 + 4*o**4 - o**4 + 9*o - 4*o + 1 + 9*o**3. Let y(t) = 10*t**4 + 28*t**3 + 16*t + 16. Let v(a) = 5*y(a) - 16*z(a). Solve v(h) = 0.
0, 2
Suppose 4*b - 84 = -3*c, 4*c - 22 - 84 = -5*b. Suppose 4*w - b = 6. Factor -3*t**2 - 15/4*t**4 + 0*t - 3/4*t**5 - w*t**3 + 0.
-3*t**2*(t + 1)*(t + 2)**2/4
Let h = 318 - 316. Solve 1/4*j**h + 0 + 0*j = 0.
0
Let r(h) be the first derivative of 11/3*h**3 - 4*h - 2 - 3*h**4 - 7/5*h**5 + 6*h**2. Let r(c) = 0. Calculate c.
-2, -1, 2/7, 1
Find m, given that -20*m**3 + 2 - 2*m**5 + 2*m**4 - 12*m + 5*m + 8*m**4 + 20*m**2 - 3*m = 0.
1
Let b = -28 - -32. Let x(p) be the first derivative of -2 + 0*p**3 + 0*p + 1/18*p**b - 1/9*p**2. Factor x(d).
2*d*(d - 1)*(d + 1)/9
Suppose 3 = -5*x - 12. Let h be -1*(-12)/(-9)*x. Suppose 1/2*z**2 + 0*z**3 - 1/4*z - 1/2*z**h + 0 + 1/4*z**5 = 0. Calculate z.
-1, 0, 1
Let p = -183 + 1649/9. Solve 2/9*z**3 - 2/9*z + 0 - p*z**4 + 2/9*z**2 = 0 for z.
-1, 0, 1
Let k(q) = -2*q**3 - 4*q**2 + 10*q + 8. Let d(n) = -n**2 + n + 1. Let j(i) = 4*d(i) - k(i). Factor j(z).
2*(z - 2)*(z + 1)**2
Let z = 11 + 1. Let -z*h**2 - 16*h**2 - 6*h + 7*h**2 = 0. Calculate h.
-2/7, 0
Let m(z) be the second derivative of -4*z**6/105 - 13*z**5/70 - 11*z**4/42 - 2*z**3/21 + 50*z. Solve m(n) = 0.
-2, -1, -1/4, 0
Let s = -5 + 9. Suppose -2*b - b - b**2 + s*b = 0. What is b?
0, 1
Let t = 66 - 63. Factor -10/3*q + 8/3*q**t + 4/3*q**2 + 4/3 + 2/3*q**5 - 8/3*q**4.
2*(q - 2)*(q - 1)**3*(q + 1)/3
Factor -25/3*c**3 + 5*c**2 + 10/3*c + 0.
-5*c*(c - 1)*(5*c + 2)/3
Let w(l) = l**3 + l**2 - l - 1. Let d(s) = 15*s**3 + 43*s**2 + 41*s + 13. Let b be (-3 - -1)/(-4 - -2). Let t(n) = b*d(n) + 5*w(n). Factor t(r).
4*(r + 1)**2*(5*r + 2)
Let f(g) = 14*g**3 + 8*g**2 - 26*g + 12. Let l(h) = -9*h**3 - 5*h**2 + 17*h - 8. Let u(k) = -5*f(k) - 8*l(k). Factor u(c).
2*(c - 1)**2*(c + 2)
Let l = 2/9 - -4/9. Factor 0 - l*f + 2/3*f**2.
2*f*(f - 1)/3
Suppose -3 = -4*y + y + x, 0 = -5*y + 2*x + 4. Suppose -l**3 + l**y - l + 3*l - l - 1 = 0. Calculate l.
-1, 1
Let u(q) be the third derivative of q**5/60 - q**4/24 - 9*q**2. Solve u(n) = 0 for n.
0, 1
Suppose -5*j + 129 - 129 = 0. Determine g so that -1/5*g**3 - 1/5*g + 2/5*g**2 + j = 0.
0, 1
Let f be (0 + 1)*14/350. Let d(t) be the first derivative of -f*t**5 + 0*t**2 - 1/20*t**4 + 1/30*t**6 + 1/15*t**3 + 0*t + 1. Factor d(r).
r**2*(r - 1)**2*(r + 1)/5
Let i(s) be the third derivative of -s**5/210 - s**4/28 - 2*s**3/21 - 8*s**2. Suppose i(y) = 0. Calculate y.
-2, -1
Factor 5*z**2 + 45 + 13*z - 8*z + 27*z - 2*z.
5*(z + 3)**2
Let x = 243/7 + -3631/105. Let k(v) be the first derivative of 1 - 2/27*v**3 - 1/6*v**4 - x*v**5 + 0*v**2 + 0*v - 1/27*v**6. Factor k(d).
-2*d**2*(d + 1)**3/9
Let t be 7 - (-4 - 12/(-2)). Let s(p) be the first derivative of -1/3*p**4 + 1/5*p**t + 1/9*p**3 + 0*p + 0*p**2 + 2. Determine b so that s(b) = 0.
0, 1/3, 1
Determine h, given that -8/17 + 32/17*h + 18/17*h**2 = 0.
-2, 2/9
Let w(g) be the first derivative of g**6/120 - g**5/20 - 3*g**4/8 - 4*g**3/3 - 4. Let t(m) be the third derivative of w(m). Factor t(s).
3*(s - 3)*(s + 1)
Let t(p) = p + 4. Let j be t(3). Let s = -3 + j. Factor -6*v**2 - v**s + 4*v**2 + 3*v**4.
2*v**2*(v - 1)*(v + 1)
Suppose -92*l - 2*l**3 + 88*l - 2*l**3 + 8*l**2 = 0. What is l?
0, 1
Let z(s) = 2*s - 9. Let a be z(6). Determine f, given that -12*f**3 + 8*f**3 + a*f**3 = 0.
0
Let -22/9 + 2/9*d**2 + 20/9*d = 0. What is d?
-11, 1
Let h be (-5)/(2 - (2 + 1)). Let w be h/(-8)*4/(-10). Let 1/4*g**2 - w*g**5 + 0*g + 0 + 1/4*g**3 - 1/4*g**4 = 0. Calculate g.
-1, 0, 1
Let l(u) = -u + 3. Let z(y) = -y**2 - 3*y + 3. Let v be z(-3). Let f be l(v). Factor 2*d - 2*d - 3*d**3 + f*d + 3*d.
-3*d*(d - 1)*(d + 1)
Let p(u) be the third derivative of 0*u + 0*u**3 + 1/48*u**4 + 2*u**2 + 1/120*u**5 + 0. What is x in p(x) = 0?
-1, 0
Suppose i - 10 = -2*o - 2*o, 2*i - 11 = -5*o. Let m(y) be the first derivative of 1/3*y**o - 1/2*y**2 - 3 + 0*y. Factor m(q).
q*(q - 1)
Let z(j) be the first derivative of 1 + 0*j - 3/10*j**5 + 0*j**3 + 3/8*j**4 + 0*j**2. Factor z(k).
-3*k**3*(k - 1)/2
Let z be 8/6*((-700)/(-160))/35. Suppose 2/3 - 2/3*j + z*j**2 = 0. Calculate j.
2
Let m(d) = -4*d**2 + 8*d + 6. Let y(k) = k**3 + 4*k**2 - 7*k - 5. Let w = 4 - -1. Let z(f) = w*m(f) + 6*y(f). What is t in z(t) = 0?
-1, 0, 1/3
Factor 2/9 + 2/9*d**3 - 2/9*d - 2/9*d**2.
2*(d - 1)**2*(d + 1)/9
Let i = -7 - -7. Let p(h) be the first derivative of i*h**4 + 1 + 1/5*h + 1/25*h**5 - 2/15*h**3 + 0*h**2. Determine b so that p(b) = 0.
-1, 1
Let 11 + 4*k**2 + 303*k + 0*k**2 - 5*k**2 - 293*k = 0. Calculate k.
-1, 11
Determine k, given that 0 + 0*k - 3/4*k**3 - 3/4*k**4 - 1/4*k**5 - 1/4*k**2 = 0.
-1, 0
Let d(t) be the first derivative of 2*t**6/3 + 16*t**5/5 + 4*t**4 - 8*t**3/3 - 10*t**2 - 8*t + 6. Find y such that d(y) = 0.
-2, -1, 1
Let y(v) be the third derivative of -v**8/189 - 4*v**7/945 + v**6/90 + v**5/54 + v**4/108 + 8*v**2. Let y(h) = 0. Calculate h.
-1/2, 0, 1
Let t(l) be the second derivative of -l**6/165 + 3*l**5/55 - 2*l**4/11 + 10*l**3/33 - 3*l**2/11 - 10*l. Let t(k) = 0. Calculate k.
1, 3
Suppose -2/7*h**3 + 0 + 2/7*h**4 + 2/7*h**5 + 0*h - 2/7*h**2 = 0. Calculate h.
-1, 0, 1
Let n(t) be the first derivative of t**8/336 - 2*t**7/105 + t**6/24 - t**5/30 + 3*t**2 + 2. Let h(w) be the second derivative of n(w). Solve h(z) = 0 for z.
0, 1, 2
Suppose -28 = 3*t + 5*k - 480, -5*t - 3*k = -764. Determine u, given that -172*u**2 + t*u**3 + 10*u**5 - 23*u**4 + 88*u - 8*u**4 - 33*u**4 - 16 = 0.
2/5, 1, 2
Let r(k) be the third derivative of 0 - 1/30*k**5 + 3*k**2 + 0*k**3 + 1/60*k**6 + 0*k + 0*k**4. Let r(p) = 0. What is p?
0, 1
Let v(k) = -5*k**2 - 4*k - 5. Let s(b) = 0 - 4*b**2 - 6 - 3*b**2 - 4*b + b**2. Let h(j) = 3*s(j) - 4*v(j). Let h(q) = 0. Calculate q.
-1
Let g be (-35)/42*12/(-45). Find h, given that -4/9*h**2 + g*h + 0 = 0.
0, 1/2
Let a(q) = -7*q**2 + 3*q. Let c(t) = t - 9. Let w be c(0). Let h(n) = 15*n**2 - 6*n. Let o(v) = w*a(v) - 4*h(v). Solve o(k) = 0 for k.
0, 1
Let s(r) = r + 1. Let v(h) be the second derivative of -h**4/2 + 13*h**3/2 + 9*h**2/2 - 3*h. Let f(n) = -18*s(n) + v(n). Suppose f(w) = 0. What is w?
1/2, 3
Let h(l) be the first derivative of l**8/5880 - l**7/588 + l**6/140 - l**5/60 + l**4/42 - 5*l**3/3 + 5. Let x(p) be the third derivative of h(p). Factor x(s).
2*(s - 2)*(s - 1)**3/7
Factor -2/3*p**2 + 0 + 10/3*p.
-2*p*(p - 5)/3
Let q(a) be the third derivative of a**8/24 - 4*a**7/35 - a**6/15 + 7*a**5/15 - a**4/4 - 2*a**3/3 - 14*a**2. Factor q(o).
2*(o - 1)**3*(o + 1)*(7*o + 2)
Let g(d) = -d**3 + 6*d**2 + 6*d - 6. Suppose 2*q + 42 = 4*q. Let v(m) = -q*m + 2*m**3 - 21*m**2 + m**3 - 10 + 31. Let c(n) = -18*g(n) - 5*v(n). Factor c(j).
3*(j - 1)**2*(j + 1)
Let c = -15 - -25. Let a(m) = -m + 12. Let r be a(c). Suppose -1 - 2*h + 21/4*h**r = 0. What is h?
-2/7, 2/3
Let y(v) = -10*v**3 + 20*v**2 - 30*v + 5. Let p(g) = -11*g**3 + 20*g**2 - 31*g + 4. Let z(t) = 5*p(t) - 6*y(t). Let z(h) = 0. What is h?
1, 2
Let o(b) be the third derivative of -b**5/12 - 5*b**4/8 + 10*b**3/3 + 76*b**2. Factor o(h).
-5*(h - 1)*(h + 4)
Let r be 8/88*0*(-1)/3. Determine n so that -n**2 + 0*n + r + 1/2*n**3 = 0.
0, 2
Let p be (1 - 0)*(-2)/2. Let s be (2*-1 - p)*-3. Factor u**2 + 2 - s*u**2 + 0*u**2.
-2*(u - 1)*(u + 1)
Let g be (-