i(y).
3*y**3*(y - 1)/5
Let f be (-87)/(-6) + 2/4. Let g = 94/9 - 161/18. Factor 3/2*z**5 + f*z**3 + 15/2*z**4 + 15/2*z + 15*z**2 + g.
3*(z + 1)**5/2
Let c(i) = 3*i + 20. Let z be c(-6). Suppose z*l + 2*t + 2*t + 8 = 0, t = -5*l - 2. Factor -1/3*o**2 + 1/3*o**3 + 1/3*o**4 + l - 1/3*o.
o*(o - 1)*(o + 1)**2/3
Let o = 1976/7 + -282. What is l in 0 + o*l**2 - 2/7*l + 2/7*l**3 - 2/7*l**4 = 0?
-1, 0, 1
Factor -1/2*l**3 + 0 + 1/4*l**4 - 1/4*l**2 + 1/2*l.
l*(l - 2)*(l - 1)*(l + 1)/4
Let d(c) = c**3 + 4*c**2 - 5*c - 6. Let n be d(-5). Let l(m) = m + 9. Let y be l(n). Suppose -34/3*f**2 + 40/3*f**y - 40/3*f - 8/3 + 14*f**4 = 0. Calculate f.
-1, -2/3, -2/7, 1
Let s = 2 - -1. Suppose 0 = 2*c - s*i - 3, -2*c - i - 2*i = 3. Factor 2/5*r**3 + 2/5*r**5 + 0 - 4/5*r**4 + 0*r + c*r**2.
2*r**3*(r - 1)**2/5
Solve -1/3*j**2 + 1/3*j + 0 = 0 for j.
0, 1
Let w(f) be the first derivative of 0*f**3 + 0*f - 1 + 1/360*f**6 - f**2 + 1/72*f**4 - 1/90*f**5. Let c(t) be the second derivative of w(t). Factor c(b).
b*(b - 1)**2/3
Let a(u) = -2*u - 4. Let i be a(4). Let b = i + 14. Factor n**b + 0 - 1/2*n**3 - 1/2*n.
-n*(n - 1)**2/2
Let l(g) = g**3 - 8*g**2 + 7*g + 2. Let b be l(7). Factor 0 - 1/3*t**b + 1/3*t.
-t*(t - 1)/3
Let h = 1712/5 + -342. Factor -h*z**4 + 2/15 + 0*z - 16/15*z**3 - 4/5*z**2.
-2*(z + 1)**3*(3*z - 1)/15
Let x(o) be the first derivative of -1 - 1/6*o**4 + 0*o**2 - 2/3*o**3 - 2*o. Let f(n) be the first derivative of x(n). Suppose f(s) = 0. What is s?
-2, 0
Let l be ((-2)/(-8))/(3/(-6))*-6. Factor 0 + 2/3*m**l + 4/3*m**2 + 2/3*m.
2*m*(m + 1)**2/3
Let o be (0 - 1)/((-18)/(-10) - 2). Let -2*r**3 + 4/7*r**4 + 0 + 0*r - 4/7*r**2 + 2*r**o = 0. Calculate r.
-1, -2/7, 0, 1
Factor 4*u - 10*u**3 + 6*u + 15 + 5*u**4 - 20.
5*(u - 1)**3*(u + 1)
Let l = -1759 - -1761. Factor -2/5 - 2/5*i**l + 4/5*i.
-2*(i - 1)**2/5
Let u = 208/77 + -10/7. Determine z so that -12/11*z**2 - 4/11*z**4 + 2/11*z - u*z**3 + 4/11 = 0.
-2, -1, 1/2
Let q(u) = -4*u - 5. Let b be q(-6). Factor 2*w**5 - 6*w**2 + w**3 - 3*w**2 - 2 + 10*w + b*w**3 - 10*w**4 - 11*w**2.
2*(w - 1)**5
Let o = 269/624 - 16/39. Let n(v) be the third derivative of 1/140*v**7 + 1/60*v**5 + 0*v**3 - 2*v**2 + o*v**6 + 0*v + 0 + 0*v**4. Factor n(w).
w**2*(w + 1)*(3*w + 2)/2
Let k(i) = -i + 6. Let w(v) = v - 1. Let h(m) = k(m) + 2*w(m). Let n be h(0). Find s, given that s**2 + 2*s**4 - 3*s**2 + 0*s**n = 0.
-1, 0, 1
Let k = -54 - -60. Let u(b) be the third derivative of -1/6*b**4 - 4*b**2 - 7/15*b**5 + 0*b**3 - 49/120*b**k + 0*b + 0. Factor u(d).
-d*(7*d + 2)**2
Let a(u) = -1. Let d(f) = 70*f**2 + 62*f + 10. Let y(o) = -2*a(o) + d(o). Let y(l) = 0. Calculate l.
-3/5, -2/7
Let x(f) be the second derivative of -f**5/20 + f**3/2 - 9*f**2/2 + 8*f. Let u(q) be the first derivative of x(q). Find h, given that u(h) = 0.
-1, 1
Let y(a) = -5*a**2 - 25*a - 3. Let f(g) = 10*g**2 + 50*g + 5. Let p(s) = -3*f(s) - 5*y(s). Let p(d) = 0. Calculate d.
-5, 0
Let z be (1 - (0 + 2)) + 3. Let m(r) be the second derivative of -2/21*r**3 + 0*r**z + 5/42*r**4 + 2*r + 0. Factor m(y).
2*y*(5*y - 2)/7
Let h(c) be the second derivative of c**7/147 - c**6/35 - c**5/70 + c**4/14 + 2*c. Let h(f) = 0. Calculate f.
-1, 0, 1, 3
Let n = -7 + 11. Let l(q) = q**3 - 5*q**2 + 6*q - 6. Let m be l(n). Solve -2*b + 4*b**3 - 3*b**2 - m*b**5 + 3*b**2 = 0.
-1, 0, 1
Let d = -4/125 - -528/875. Determine k, given that 0 + d*k**4 - 4/7*k**2 + 2/7*k + 0*k**3 - 2/7*k**5 = 0.
-1, 0, 1
Let m(r) be the third derivative of 0*r**3 + 0*r**4 + 1/1470*r**7 - 1/420*r**5 + 0 - 1/2352*r**8 + 7*r**2 + 1/840*r**6 + 0*r. Factor m(x).
-x**2*(x - 1)**2*(x + 1)/7
Let a(l) be the third derivative of -3*l**2 - 2/45*l**3 - 1/60*l**4 - 1/450*l**5 + 0*l + 0. Factor a(w).
-2*(w + 1)*(w + 2)/15
Let u be (-1 + -1*14)*1. Let i be u/20 - (0 - 1). Suppose -i*d**2 - 1/4*d + 0 = 0. Calculate d.
-1, 0
Let r(x) = -4*x**5 + 4*x**4 - 4*x**3 - 2. Let m(k) = -5*k**5 + 4*k**4 - 5*k**3 - 3. Let v be 0*1/(-2) - -2. Let d(z) = v*m(z) - 3*r(z). Factor d(t).
2*t**3*(t - 1)**2
Let h(v) be the first derivative of 0*v + 1/15*v**5 - 1 + 4/3*v**2 + 1/2*v**4 + 4/3*v**3. Let h(u) = 0. Calculate u.
-2, 0
Let q(t) be the second derivative of 0 - 1/4*t**4 + 0*t**3 - 2*t + 3/2*t**2. Solve q(p) = 0.
-1, 1
Let m(w) be the third derivative of w**10/378000 - w**8/50400 + w**5/30 + w**2. Let h(c) be the third derivative of m(c). Factor h(t).
2*t**2*(t - 1)*(t + 1)/5
Let w(b) be the first derivative of 0*b**2 - 2/27*b**3 + 1 + 0*b. Find h such that w(h) = 0.
0
Factor 18*k**2 - 27*k + 3*k**3 - 23*k + 65*k.
3*k*(k + 1)*(k + 5)
Factor 6*r - 3*r**2 - 4 - 3 + 9 + 7.
-3*(r - 3)*(r + 1)
Let t = 256 - 497/2. Let 15*v**2 - 3/2*v**5 + 3/2 - 15*v**3 + 15/2*v**4 - t*v = 0. Calculate v.
1
Let a be 0*(1/2 + 1 + -1). Suppose 0 + a*d - 2/7*d**4 + 0*d**2 + 2/7*d**3 = 0. Calculate d.
0, 1
Let f(b) be the third derivative of 1/30*b**5 + 0*b**3 - 2*b**2 + 0 + 1/12*b**4 + 0*b. Factor f(x).
2*x*(x + 1)
Let b(m) = m + 7. Let n be b(-5). Solve 17*d - 5*d - 48 - 3*d**n + 12*d = 0 for d.
4
Let f(v) = v**3 - 8*v**2 - 10*v + 12. Let b be f(9). Suppose -b*c - 2*w = 4, -c - c - 4 = 2*w. Factor -2/5*x + c + 2/5*x**2.
2*x*(x - 1)/5
Find h, given that 12*h - 10*h**3 + 0*h**4 + 3*h**4 + 19*h**3 + 6*h**3 + 24*h**2 = 0.
-2, -1, 0
Let u(k) be the first derivative of k**4/10 - 8*k**3/15 + k**2 - 4*k/5 - 8. Determine t, given that u(t) = 0.
1, 2
Let z = -9 - -14. Let k = 10 - z. Factor -4 + c - k*c**2 - 3*c - c**3 - 6*c.
-(c + 1)*(c + 2)**2
Factor -b**2 + b**4 + b**5 + 0*b**2 + 17*b**3 - 18*b**3.
b**2*(b - 1)*(b + 1)**2
Let b(z) be the third derivative of -7/240*z**6 + 1/12*z**3 + 0 + 1/15*z**5 + 0*z + 2*z**2 - 1/1344*z**8 - 3/32*z**4 + 1/140*z**7. Find d such that b(d) = 0.
1, 2
Let t = 94/185 + -4/37. Factor -t - 3/5*n - 1/5*n**2.
-(n + 1)*(n + 2)/5
Factor -3/2 + 0*h + 3/2*h**2.
3*(h - 1)*(h + 1)/2
Let n(a) be the first derivative of -a**5/5 + 4*a**4/3 - 10*a**3/3 + 4*a**2 - 4*a - 3. Let q(k) be the first derivative of n(k). Factor q(p).
-4*(p - 2)*(p - 1)**2
Let q be 1*3/6*8. Let y = -4 - -6. Factor -3*w**q - w**5 + w - 2*w**y + 0*w**4 + 5*w**4.
-w*(w - 1)**3*(w + 1)
Let j(m) = 9*m + 0*m**3 + 7*m**2 + 5*m**3 + 0*m**2 + 8 + 4*m. Let k(p) = -p**3 + p**2 + p. Let t(b) = j(b) + 3*k(b). Let t(n) = 0. What is n?
-2, -1
What is l in -10*l**2 - 6*l - 11 + 7 - 4 - 2*l**3 - 10*l = 0?
-2, -1
Let o(m) be the first derivative of 0*m**2 + 10 + 0*m + 4*m**3 - 3/4*m**4. Suppose o(r) = 0. Calculate r.
0, 4
Factor -1/4*o**2 - 1/2 + 3/4*o.
-(o - 2)*(o - 1)/4
Let l be (6/10)/(6/32). Let n(f) be the first derivative of -3*f**3 - l*f**5 + 1/2*f**2 + 6*f**4 + 0*f - 1. Solve n(t) = 0 for t.
0, 1/4, 1
Let x(k) be the second derivative of -2/5*k**2 + 0 + 0*k**4 + 2*k - 4/15*k**3 + 2/75*k**6 + 2/25*k**5. Determine c so that x(c) = 0.
-1, 1
Let i(p) = p**2 + 2*p - 1. Let k be i(-3). Factor q**3 + 2*q**3 - 6*q**k + 3*q**4 - 3*q**3 + 3.
3*(q - 1)**2*(q + 1)**2
Suppose 0 = 2*q + 1 - 5. Suppose q*a + 3 = 2*l + 3*a, -3 = -3*l - 3*a. Let -2*c - 41*c**4 - 13*c**4 - 18*c**l - 44*c**3 - 10*c**3 = 0. Calculate c.
-1/3, 0
Let i = 3/2 + -19/18. Factor 2/9 - 4/9*z**3 + i*z**2 - 2/3*z**4 - 2/9*z**5 + 2/3*z.
-2*(z - 1)*(z + 1)**4/9
Let n = 309 - 307. Factor 2 + 1/2*h**2 + n*h.
(h + 2)**2/2
Factor -12*o**2 + 5*o + 16 + 97*o**3 + 11*o + 4*o**4 - 56*o**3 - 49*o**3.
4*(o - 2)**2*(o + 1)**2
Let d(l) be the second derivative of -l**5/4 - 31*l**4/36 - 10*l**3/9 - 2*l**2/3 - 25*l. Factor d(f).
-(f + 1)*(3*f + 2)*(5*f + 2)/3
Let g be (-68)/(-14) - 1/(-7). Factor 2*r**4 - 12*r - 2 - 18*r**2 + 20 + 6 + 15*r**3 - g*r**4.
-3*(r - 2)**3*(r + 1)
Let b be 7 + -2 + -2*2. Let w(h) = 2*h**2 - h - 3. Let y(k) = -k - 1. Let d(q) = b*w(q) + y(q). Determine f so that d(f) = 0.
-1, 2
Let x = -58 + 60. Let a(v) be the first derivative of -2/9*v**2 + 2/3*v**3 + 0*v - 2/3*v**4 - x + 2/9*v**5. Let a(j) = 0. What is j?
0, 2/5, 1
Let f = 2242/7 - 320. Solve 16/7*a + f*a**3 + 10/7*a**2 + 8/7 = 0.
-2, -1
Let v = -139 + 141. Determine d so that -1/6*d - 3/2*d**3 - d**v + 0 = 0.
-1/3, 0
Let k be (-1*(2 - 2))/(-1). Suppose 2 = q - k. Factor 2/3*u**q + 0*u - 2/3*u**3 + 0.
-2*u**2*(u - 1)/3
Let m(x) = 2*x**3 + 14*x**2 - x + 14 + 2*x**3 - 5*x**3. Let l be m(14). Let 1/2*i + 1/2*i**3 + l - i**2 = 0. Calculate i.
0, 1
Suppose -f - 372 = -5*f. Let v be (