 5*h(i) - p(i). Let x(y) = 0. What is y?
-22, 2
Let t(u) be the second derivative of -3*u**5/80 - 13*u**4/16 - 7*u**3 - 30*u**2 - 29*u - 1. Solve t(s) = 0 for s.
-5, -4
Factor 2/5*i**3 - 8/5*i**2 - 6/5*i + 36/5.
2*(i - 3)**2*(i + 2)/5
Suppose 2*s - 2*n + 0 = 4, 2 = -2*s + 5*n. Suppose 0 = 3*g - s*z - 24, 5*g = -3*z + 9 + 2. Find y such that 1/5*y**g + 0 + 3/5*y**2 + 3/5*y**3 + 1/5*y = 0.
-1, 0
Let s = 27 - 20. Find y, given that 830*y - 5*y**4 - 830*y - 2*y**2 + s*y**3 = 0.
0, 2/5, 1
Suppose 0 + 0*f + 0*f**2 - 7/4*f**3 + 1/4*f**4 = 0. Calculate f.
0, 7
Let x = 53/12 - 22/5. Let k(g) be the third derivative of 0*g - 10*g**2 - x*g**6 - 1/18*g**5 + 1/504*g**8 + 0*g**3 + 0 + 1/315*g**7 - 1/18*g**4. Factor k(q).
2*q*(q - 2)*(q + 1)**3/3
Let v(d) be the second derivative of -13/6*d**3 - 2*d**2 - 7/12*d**4 + 0 + d. Let t(l) = -6*l**2 - 12*l - 3. Let u(g) = 4*t(g) - 3*v(g). Solve u(s) = 0 for s.
-3, 0
Let w be (140/(-300))/((-11)/55). Factor w*p**3 + 4/3*p**2 + 0 + 2/3*p**4 - 4/3*p.
p*(p + 2)**2*(2*p - 1)/3
Determine i, given that -12/19*i**3 + 44/19*i + 0*i**2 - 2/19*i**4 - 30/19 = 0.
-5, -3, 1
Let k(u) be the first derivative of -u**5/30 - u**4/3 + 19*u**3/18 - 5*u**2/6 - 28. What is i in k(i) = 0?
-10, 0, 1
Solve -56/5*m**2 - 1/5*m**5 - 14/5*m**3 + 128/5 + 9/5*m**4 + 96/5*m = 0.
-2, -1, 4
Determine p so that 4/15*p - 2/15*p**3 + 0 - 2/5*p**2 + 2/5*p**4 - 2/15*p**5 = 0.
-1, 0, 1, 2
Suppose 48/25 - 68/25*v**2 - 8/5*v - 8/25*v**5 + 42/25*v**3 + 14/25*v**4 = 0. Calculate v.
-2, -1, 3/4, 2
Let z(m) be the third derivative of 0*m - 2/315*m**7 + 1/90*m**6 - 5*m**2 + 4/9*m**3 - 5/18*m**4 + 1/15*m**5 + 0. Factor z(u).
-4*(u - 1)**3*(u + 2)/3
Factor 113*a**3 - 40*a**2 + 29*a - 13*a + 7*a + 10 - 106*a**3.
(a - 5)*(a - 1)*(7*a + 2)
Let g(q) be the second derivative of -1/7*q**2 - 13/42*q**3 - 31/84*q**4 - 2/35*q**6 + 0 - 8/35*q**5 + 5*q. Solve g(d) = 0.
-1, -2/3, -1/2
Let r be ((-576)/(-1377))/4 + 12/102. Factor -r*t**2 - 2/9 + 4/9*t.
-2*(t - 1)**2/9
Let y(k) be the third derivative of 1/12*k**4 + 0*k**3 + 1/60*k**5 + 0 + 0*k - 1/120*k**6 - 10*k**2. Factor y(q).
-q*(q - 2)*(q + 1)
Suppose -2/3*c**3 - 2/3*c**4 - 2*c + 10/3*c**2 + 0 = 0. What is c?
-3, 0, 1
Let a = -32 + 35. Factor 12 - 120*f + 0*f**4 + 68 + 30*f**a + 5*f**4 + 5*f**2.
5*(f - 1)**2*(f + 4)**2
Let -8*y**4 - 2*y - 2*y - 4*y**4 + y**4 + y**3 + 4*y**4 + 28*y**2 = 0. Calculate y.
-2, 0, 1/7, 2
Let p be 39*2/22 - (-141)/(-47). Factor 4/11 - 2/11*i - p*i**2.
-2*(i + 1)*(3*i - 2)/11
Let u = 334/465 - 1061608/3255. Let b = u + 326. Factor 4/7*v + 4/7 - 4/7*v**3 - b*v**2.
-4*(v - 1)*(v + 1)**2/7
Let -t**2 + 3*t + 2*t**2 - 2*t + 6*t - 14 - 2*t = 0. Calculate t.
-7, 2
Let k be 6*35/56 - (-3)/(-12). Let a(c) be the first derivative of 1 - 16/3*c**3 - 4*c**2 + 2*c**5 + k*c**4 + 0*c. Factor a(j).
2*j*(j - 1)*(j + 2)*(5*j + 2)
Let g(z) = 6*z**2 + 198*z + 96. Let y(v) = -v**2 - 2*v. Let o(p) = -g(p) - 2*y(p). Factor o(b).
-2*(b + 48)*(2*b + 1)
Let p(u) be the third derivative of u**6/60 - 97*u**5/105 - 37*u**4/12 - 58*u**3/21 - 2*u**2 - 248*u. Factor p(s).
2*(s - 29)*(s + 1)*(7*s + 2)/7
Let o(i) = 955*i**2 + 127*i + 4. Let u(v) = 3822*v**2 + 507*v + 16. Let d(s) = -22*o(s) + 6*u(s). Determine b, given that d(b) = 0.
-2/31
Let g be ((-6)/(-18) - 44/6)/(-16). Let r = g - 3/16. Solve 1/4*x + 0 + 3/4*x**3 + 3/4*x**2 + r*x**4 = 0.
-1, 0
Let y be 15/(-20)*(-1)/(12/40). Factor -y + 15/4*x**2 - 25/4*x.
5*(x - 2)*(3*x + 1)/4
Let h(j) be the first derivative of -18 + 4/15*j**2 + 16/15*j - 1/30*j**4 - 4/45*j**3. Factor h(p).
-2*(p - 2)*(p + 2)**2/15
Suppose 4*w - 12 = 4. Factor 18*t**3 - 4*t + 4*t**2 - t**2 + 10*t**5 - t**2 + 0*t - 26*t**w.
2*t*(t - 1)**3*(5*t + 2)
Let s = 20 - 18. Factor y**3 - 110 + y**s + 110.
y**2*(y + 1)
Let r be 3 - (84/1)/4. Let t be (-34)/(-9) + (-4)/r. Find a such that t*a**2 + 2*a - 2*a - 2*a - 2*a = 0.
0, 1
Let y(z) be the third derivative of -9/2*z**3 - 32*z**2 - 1/40*z**6 + 0 - 3/8*z**4 + 0*z + 1/4*z**5. Solve y(l) = 0 for l.
-1, 3
Let v(d) = -d**3 + 7*d**2 + 20*d - 16. Let c be v(9). Determine w, given that -9*w**c + 10*w**3 + 6*w**3 + 21*w**2 = 0.
-3/4, 0
Let u be -1 + 0 - 169/(-104). Let w(m) be the third derivative of 1/2*m**3 + 1/10*m**5 - u*m**4 + 0 + 0*m + 1/5*m**6 + 7*m**2. Let w(z) = 0. Calculate z.
-1, 1/4, 1/2
Let h(l) be the first derivative of -11 - 1/3*l**3 - 64*l + 8*l**2. Factor h(q).
-(q - 8)**2
Let p(b) = -40*b - 38. Let a be p(-1). Let z(l) be the second derivative of 13/36*l**4 - 1/3*l**a + l + 0 - 11/18*l**3. Factor z(m).
(m - 1)*(13*m + 2)/3
Let q(w) = 8*w**3 + 20*w**2 - 3*w - 5. Let x(g) = 5*g**3 + 10*g**2 - 2*g - 1. Let f(s) = -3*q(s) + 5*x(s). Factor f(a).
(a - 10)*(a - 1)*(a + 1)
Let f = 83/4 + -399/20. Let y(a) be the first derivative of -4/3*a**3 + 0*a**4 + 3 - 1/3*a**6 + f*a**5 + 0*a + a**2. Factor y(o).
-2*o*(o - 1)**3*(o + 1)
Suppose 0 = -17*q + 20*q - 15. Determine s so that -q - 6*s**4 + 10*s**5 - 20*s**3 + 2*s**4 + 1 + 8*s**2 + 10*s = 0.
-1, 2/5, 1
Let h(q) be the first derivative of q**5/25 + 3*q**4/20 - 4*q**3/5 - 26*q**2/5 - 48*q/5 + 247. Factor h(k).
(k - 4)*(k + 2)**2*(k + 3)/5
Suppose -687*u = -701*u. Factor u + 4/5*b**3 - 4/5*b**4 - 4/5*b + 4/5*b**2.
-4*b*(b - 1)**2*(b + 1)/5
Let u(o) be the third derivative of -o**5/24 - 5*o**4/6 - 5*o**3 - 76*o**2. Factor u(t).
-5*(t + 2)*(t + 6)/2
Let a(y) = -2*y**3 - 41*y**2 - 10*y + 203. Let f be a(-20). Solve -3/2*l + 0 - 21/4*l**2 - 15/4*l**f = 0 for l.
-1, -2/5, 0
Let q(h) = -8*h**2 + 1886*h + 74872. Let p(i) = 2*i**2 - 629*i - 24958. Let y(x) = 10*p(x) + 3*q(x). Factor y(j).
-4*(j + 79)**2
Let f(m) be the first derivative of -2*m**7/525 - m**6/75 - m**5/75 - 11*m**2/2 - 1. Let c(j) be the second derivative of f(j). Solve c(t) = 0 for t.
-1, 0
Factor -12*d + 7*d**3 - 26*d**3 + 9*d**3 + 13*d**3.
3*d*(d - 2)*(d + 2)
Suppose -4*j + 3 + 33 = 0. Let g(b) = -4*b - 1. Let f be g(-1). Determine n so that -2 + f*n**2 - 1 + j*n**2 + 6*n + 3*n = 0.
-1, 1/4
Let f = 29 + -18. Factor -10*p**2 - 1 + 55*p - 20*p - 8 - 5*p**3 - f.
-5*(p - 1)**2*(p + 4)
Let g = 3846 - 3844. Factor g - 2*m**2 + 1/2*m**3 - 1/2*m.
(m - 4)*(m - 1)*(m + 1)/2
Suppose 5*u = 56 - 31. Let f(c) be the first derivative of -u + 1/18*c**4 + 0*c - 4/27*c**3 + 1/9*c**2. Factor f(t).
2*t*(t - 1)**2/9
Let s(z) be the first derivative of 2*z**5/35 - 17*z**4/14 + 64*z**3/7 - 180*z**2/7 + 229. Factor s(h).
2*h*(h - 6)**2*(h - 5)/7
Let p = -14182 + 14184. Factor -2*m - 1/2*m**4 - m**p + 3/2 + 2*m**3.
-(m - 3)*(m - 1)**2*(m + 1)/2
Let h(i) = -i**2 + 9*i - 6. Suppose 6*j = 7*j - 8. Let d be h(j). Factor 2*v**d + 7*v - 4*v**2 - 3*v.
-2*v*(v - 2)
Suppose -5*g = -2*z - 12, 5*g - z = -3*z + 8. Suppose -4*x + g - 10 = 0, -4*x = 2*v - 8. Solve 8*a**3 + v*a**2 + a + 16*a**3 + 10*a**4 - a = 0.
-2, -2/5, 0
Let f(t) = -t**3 + t - 1. Let p(c) = -c**3 - 12*c**2 + c + 15. Let v(b) = -3*f(b) - p(b). Solve v(i) = 0 for i.
-3, -1, 1
Suppose -2*o + 3*o + o = 0. Let c(m) be the first derivative of 0*m + m**4 - 1/2*m**2 + o*m**3 - 5. Factor c(q).
q*(2*q - 1)*(2*q + 1)
Suppose 0*s = 4*s - 24. Solve -4*l + s - 5*l**2 + 9*l - 2 + 6 = 0.
-1, 2
Let y(j) be the third derivative of j**5/105 + j**4/6 - 16*j**3/21 + 2*j**2 + 18*j. Factor y(x).
4*(x - 1)*(x + 8)/7
Let h(d) be the second derivative of -5/6*d**3 - 2*d**2 - 2*d - 1/12*d**4 + 0. Factor h(r).
-(r + 1)*(r + 4)
Suppose -d - 36 = 11*d. Let v(r) = 18*r**2 + 53*r + 12. Let y(m) = 19*m**2 + 54*m + 11. Let u(q) = d*y(q) + 4*v(q). Factor u(f).
5*(f + 3)*(3*f + 1)
Let u(o) = 2*o + 1. Let n(f) = f + 6. Let p be n(-5). Let q be u(p). Find g such that 3 - 2*g**4 - 3 + 4*g**q = 0.
0, 2
Factor 567 - 840*k + 22*k**3 + 153 + 125*k**2 - 27*k**3.
-5*(k - 12)**2*(k - 1)
Suppose -530*v - 63 = -539*v. Let l(n) be the first derivative of -4/5*n + v - 1/5*n**2 + 2/15*n**3. Factor l(t).
2*(t - 2)*(t + 1)/5
Suppose 0 = 44*w - 4*w - 211*w + 342. Factor 1/5 - 1/5*t**w + 0*t.
-(t - 1)*(t + 1)/5
Let n be -5 + (-92)/(-20) + (-194)/15. Let l = n - -14. Factor 0 + 4/3*b**3 + 0*b**2 + 0*b**4 - 2/3*b**5 - l*b.
-2*b*(b - 1)**2*(b + 1)**2/3
Let x(m) be the first derivative of 16/5*m**5 + 96*m + 136*m**2 + 27*m**4 + 88*m**3 + 28. Factor x(g).
4*(g + 2)**3*(4*g + 3)
Determine n so that -26/5 + 24/5*n + 2/5*n**2 = 0.
-13, 1
Let s(l) = -l**2 - 7*l - 5. Let z be s(-6). Le