 = -4*g**2 - 57*g + 59. Let j(c) = -f(c) + p(c). Suppose j(n) = 0. Calculate n.
-12, 1
Let h(b) be the third derivative of 0*b - b**2 + 0*b**4 + 1/180*b**6 + 1/45*b**5 + 0 + 0*b**3. Let h(q) = 0. Calculate q.
-2, 0
Suppose -37*n + 32*n = -30. Determine j so that 2 - 3*j**2 - 6 + n*j**2 + 1 = 0.
-1, 1
Let f(z) = -z**3 - 2*z**2 + z + 1. Let u be f(-1). Let b = u - -4. Factor 2*m**4 + m + 0*m**3 - 3*m**b + 0*m**3.
m*(m - 1)**2*(2*m + 1)
Let o(x) be the first derivative of 3 + 10/3*x**3 + 0*x + 2*x**2 - 7/2*x**4. Factor o(d).
-2*d*(d - 1)*(7*d + 2)
Let v be (-30)/25 + 96/30. Factor -1/5*f + 0 - 1/5*f**3 - 2/5*f**v.
-f*(f + 1)**2/5
Let o(r) be the third derivative of -1/60*r**6 + 1/420*r**7 + 1/336*r**8 - 3*r**2 + 0*r - 1/60*r**5 + 0 + 1/24*r**4 + 1/12*r**3. Suppose o(u) = 0. What is u?
-1, -1/2, 1
Let p(m) be the third derivative of 0*m**6 - 1/1848*m**8 + 0*m**4 + 0*m**3 + m**2 + 0*m**5 - 1/1155*m**7 + 0*m + 0. Factor p(c).
-2*c**4*(c + 1)/11
Let a(m) = 2*m - 20. Let u be a(11). Let o be (-17 - -15)/(u/(-3)). Factor 3/4*j + 0 - 3/2*j**2 + 3/4*j**o.
3*j*(j - 1)**2/4
Suppose 0 = 2*j + 17 - 53. Let q be 58/j - 2/9. Determine n, given that 2/7*n**5 - 2/7*n - 4/7*n**2 + 0*n**q + 4/7*n**4 + 0 = 0.
-1, 0, 1
Let y(g) be the third derivative of 0*g + 1/6*g**3 + 1/420*g**7 + 3/40*g**5 + 7/48*g**4 + g**2 + 0 + 1/48*g**6. Factor y(q).
(q + 1)**3*(q + 2)/2
Let z(d) be the third derivative of d**5/120 + 7*d**4/24 + 49*d**3/12 + 6*d**2. Find h, given that z(h) = 0.
-7
Factor 1/4*m**2 + 3/4*m + 0.
m*(m + 3)/4
Factor 8/7 + 2*a + 4/7*a**2 - 2/7*a**3.
-2*(a - 4)*(a + 1)**2/7
Let z = -9/125 - -23/250. Let m(a) be the third derivative of 0*a - z*a**5 - a**2 - 1/30*a**4 + 0*a**3 + 0. Factor m(n).
-2*n*(3*n + 2)/5
Let u(n) be the second derivative of n**4/72 - 7*n**3/18 + 7*n - 1. Factor u(a).
a*(a - 14)/6
Let l(z) = z**2 + 9*z + 8. Let d(q) = q**2 + 8*q + 7. Let n(w) = -6*d(w) + 5*l(w). Let n(f) = 0. Calculate f.
-2, -1
Let b(z) = -z**2 + 2*z - 1. Let x be b(1). Let c(s) be the first derivative of 1 - 1/3*s**3 - 3/4*s**4 + x*s + 0*s**2. Solve c(q) = 0 for q.
-1/3, 0
Let i = 14 + -10. Factor 3*w**4 - 2*w**i + w**4 + w**4 - 3*w**2.
3*w**2*(w - 1)*(w + 1)
Let m(z) be the first derivative of z**6/120 - z**4/24 - z**2 - 2. Let c(h) be the second derivative of m(h). Factor c(x).
x*(x - 1)*(x + 1)
Solve 35*v**4 + 48*v**2 + 114 - 34 - 208*v**2 - 60*v**3 + 15*v**5 = 0.
-2, -1, 2/3, 2
Let p(t) = t**3 + 2*t**2 - 1. Let h be p(-1). Let g be -3 - ((-18)/45 + (-44)/15). Determine r, given that h*r + 0 - g*r**3 - 1/3*r**2 = 0.
-1, 0
Let d(h) be the first derivative of 4*h**3/3 + 4*h**2 - 12*h - 17. Factor d(t).
4*(t - 1)*(t + 3)
Suppose -32 = -4*d + 40. Let z = 20 - d. Find x such that -1 - 1/2*x**3 + 3/4*x**z + x - 1/4*x**4 = 0.
-2, 1
Let v(z) be the first derivative of z**7/56 + z**6/60 - z**5/20 - z**4/24 + z**3/24 + z - 1. Let p(s) be the first derivative of v(s). Solve p(i) = 0 for i.
-1, 0, 1/3, 1
Let l(n) be the first derivative of 2/15*n**3 - 1/5*n**2 + 1/10*n**4 - 2/5*n + 5. Let l(p) = 0. Calculate p.
-1, 1
Let h(p) = 2*p**4 - 2*p**3 - p + 4. Let c(j) = j**4 - 2*j**3 + 3. Let m(q) = -3*c(q) + 2*h(q). Let m(o) = 0. What is o?
-1, 1
Suppose -4*k = 4 + 32. Let i(v) = -v**3 - 9*v**2 - 2*v - 13. Let q be i(k). Factor -2*g**4 + 11*g**3 + 4 + 2*g**2 + 4 - g**3 - 2*g**q - 16*g.
-2*(g - 1)**3*(g + 2)**2
Let c be (1/1*0)/1. Find i, given that 1/2*i**3 + 0*i - 1/2*i**2 + c = 0.
0, 1
Let x = 5867/80 + -220/3. Let z(k) be the third derivative of -x*k**5 + 0*k**4 + 0*k + 0 + 0*k**3 - k**2 - 1/480*k**6. Factor z(r).
-r**2*(r + 1)/4
Let s(r) be the first derivative of r**5/330 - 3*r**2/2 + 2. Let q(y) be the second derivative of s(y). Factor q(z).
2*z**2/11
Let v(a) = -5*a**3 - 6*a**2 + 28. Let c(g) = g**3 + 1. Let b(h) = 4*c(h) + v(h). Find t such that b(t) = 0.
-4, 2
Let g(h) be the third derivative of h**5/750 - h**4/150 + h**2 + 8*h. Determine w, given that g(w) = 0.
0, 2
Let g(b) be the second derivative of -b**5/5 + 8*b**4/3 - 14*b**3 + 36*b**2 - 2*b. Factor g(p).
-4*(p - 3)**2*(p - 2)
Let d(l) be the second derivative of l**6/120 + l**5/20 + l**4/24 - l**3/6 - 3*l**2/8 + 5*l. Suppose d(a) = 0. Calculate a.
-3, -1, 1
Let d be (3/2)/((-2)/(-12)). Let p = 13 - d. Factor 0*b**5 + 2*b - 4*b**p + 0*b**2 - 2*b**5 + 4*b**2.
-2*b*(b - 1)*(b + 1)**3
Let t(k) = -6*k**2 - 6*k + 3. Let b(h) = 3*h**2 + 3*h - 2. Suppose 2*d + 20 = -3*d. Let j(y) = d*t(y) - 9*b(y). Factor j(x).
-3*(x - 1)*(x + 2)
Let h(m) = -4*m**2 - 11. Let k(r) = -2*r**2 - 6. Suppose 5*a + 12 = -43. Suppose 2*g = g + 6. Let u(i) = a*k(i) + g*h(i). Let u(c) = 0. What is c?
0
Let b be (-9)/(-36) - (-94)/8. Find v such that 2*v**3 - 12 + 2*v**3 + b*v**2 - v - 2*v - v = 0.
-3, -1, 1
Suppose -18 = -8*q + 2*q. Determine i so that q*i + 6*i - 11*i + i**3 + i**2 = 0.
-2, 0, 1
Suppose -a = 2*q + 2*a + 23, -3*a = -q - 25. Let v be q/18*(-1)/4. Factor 0*w**2 + 0*w + 4/9*w**4 - 2/9*w**5 - v*w**3 + 0.
-2*w**3*(w - 1)**2/9
Let f = 36 - -99. Determine k, given that -6*k**3 - 2*k**3 + 2*k + 3*k**3 - 189*k**5 - 4*k**3 - 11*k**2 + f*k**4 = 0.
-2/7, 0, 1/3
Let b(u) be the first derivative of -3/16*u**4 + 0*u**3 + 9/8*u**2 + 7 - 3/2*u. Factor b(d).
-3*(d - 1)**2*(d + 2)/4
Suppose 0 = 4*m + 3*v - 9, m - 5*v + 15 = 3*m. Let j be m*3/(3 + 3). Suppose j - 5/2*d**3 + 0*d + d**2 = 0. What is d?
0, 2/5
Suppose 6 = 3*r - 0. Suppose 8 = r*u - 0*u. Find f such that 0 + f**u + 0 - f**2 = 0.
-1, 0, 1
Let u(k) = k**5 - k**4 - k**3 - k**2 + 1. Let b(r) = -3*r**5 - 3*r**4 + 17*r**3 - 3*r**2 + 2*r - 5. Let l(m) = b(m) + 5*u(m). Suppose l(p) = 0. What is p?
0, 1
Let j(w) be the first derivative of -5/4*w**4 + 8*w + 2*w**2 - 7 - 2*w**3 - 1/5*w**5. Factor j(t).
-(t - 1)*(t + 2)**3
Let o be ((-4)/(-18) + (-2)/9)/(-1). Let m(k) be the first derivative of -1/5*k**5 - 4 + 1/4*k**4 - 1/2*k**2 + 1/3*k**3 + o*k. Determine l so that m(l) = 0.
-1, 0, 1
Let d be 933/535 + (-10 - -7). Let u = -6/107 - d. Let u*r**2 + 0 + 2/5*r = 0. What is r?
-1/3, 0
Let m(p) be the third derivative of -p**7/105 + p**6/60 + p**5/10 - p**4/12 - 2*p**3/3 - 11*p**2. Factor m(f).
-2*(f - 2)*(f - 1)*(f + 1)**2
Let k be 0/(-8 + 4) + (1 - -2). Let r(d) be the third derivative of 0*d**5 + 0 + 1/540*d**6 + 0*d - 2/27*d**3 - k*d**2 - 1/36*d**4. What is a in r(a) = 0?
-1, 2
Let r(i) be the third derivative of -i**8/2352 + i**6/840 - 10*i**2. Factor r(c).
-c**3*(c - 1)*(c + 1)/7
Factor 4*k + 2077*k**2 - 2079*k**2 - 4*k - 4*k - 2.
-2*(k + 1)**2
Let d = -776 + 779. Factor 0 - 48/5*b**d - 21/5*b**4 - 6/5*b - 33/5*b**2.
-3*b*(b + 1)**2*(7*b + 2)/5
Let b = -10 - -15. Let l(o) be the third derivative of -2*o**2 + 0*o**3 + 1/70*o**7 - 1/60*o**b + 1/30*o**6 - 1/12*o**4 + 0*o + 0. Factor l(n).
n*(n + 1)**2*(3*n - 2)
Let g(u) be the second derivative of u**7/11340 - u**6/1080 + u**4/2 - 2*u. Let m(s) be the third derivative of g(s). Factor m(i).
2*i*(i - 3)/9
Let o be (9 - 3)/(7 + -5). Factor 2/9*f**2 + 0 - 2/9*f**o + 0*f.
-2*f**2*(f - 1)/9
Let a(i) = -2*i - 1. Let w(m) = -21*m**2 - 6*m - 9. Let o(h) = 12*a(h) - w(h). Determine j so that o(j) = 0.
-1/7, 1
Let s(i) be the second derivative of -i**6/20 + 3*i**5/16 - i**4/4 + i**3/8 + 9*i. Let s(p) = 0. What is p?
0, 1/2, 1
Factor 18*n**2 - 3*n - 14*n**2 - 7*n**2.
-3*n*(n + 1)
Let g be 10/(-15) + (-6)/(-27)*3. Let d(f) be the second derivative of -2*f - 1/12*f**3 + 0 + g*f**2 + 7/48*f**4 - 7/120*f**6 + 1/40*f**5. Factor d(b).
-b*(b - 1)*(b + 1)*(7*b - 2)/4
Suppose 0 = 2*w - 10, -3*w + 11 = 4*s - 20. Let v(g) = -g + 8. Let m be v(6). Factor -2 + 2*i**m - 2*i**3 - i + s*i - i.
-2*(i - 1)**2*(i + 1)
Let d(v) be the third derivative of -1/90*v**5 + 0*v + 1/180*v**6 + 0 - 6*v**2 - 1/72*v**4 + 1/630*v**7 + 1/18*v**3 - 1/1008*v**8. What is k in d(k) = 0?
-1, 1
Let r = 17 + -5. Factor 0 - r + 5*h**2 + h**3 + 3*h + 3.
(h - 1)*(h + 3)**2
Solve -3*v**2 + 3*v + v**3 - 4*v**3 - 1136*v**4 + 1139*v**4 = 0.
-1, 0, 1
Suppose 0 = -16*m + 17*m + a + 5, 0 = m - a - 5. Find f, given that 3*f**3 - 3/2*f + m + 0*f**2 + 0*f**4 - 3/2*f**5 = 0.
-1, 0, 1
Let s be (3/3)/((-4)/(-8)). Factor -3 - 6*r + 5 + 4 + 3*r**s - 3.
3*(r - 1)**2
Let a(r) = -5*r**2 - 10*r - 10. Let h(w) = 11*w**2 + 19*w + 19. Let y(u) = 5*a(u) + 2*h(u). Factor y(q).
-3*(q + 2)**2
Let c be (4*(-4)/(-8))/1. Let y(a) be the fi