tor h(d).
-3*d*(d - 1)**3
Let q(v) = -v + 35. Let j be q(35). Determine g, given that -2/3*g**2 + 2/3*g**3 + j*g + 0 = 0.
0, 1
Let u(t) = 8*t**3 - 5*t**2 - 5*t + 8. Let g(n) = 23*n**3 - 15*n**2 - 15*n + 23. Let f(s) = -3*g(s) + 8*u(s). Find p such that f(p) = 0.
-1, 1
Let v(w) = -w**2 - 6*w - 3. Let i = -7 - -2. Let m be v(i). Factor -n + 2/3 + 1/3*n**m.
(n - 2)*(n - 1)/3
Let i(h) be the second derivative of 0*h**5 + 1/15*h**6 + 1/42*h**7 + 2*h + 0 - 1/6*h**4 - 1/6*h**3 + 0*h**2. Solve i(v) = 0.
-1, 0, 1
Let p(x) = x**2 - 4*x - 5. Suppose 0 = 5*v - 2*r - 9 - 14, -4*v + 23 = 3*r. Let l be p(v). Find q, given that l - 2/5*q**3 - 4/5*q**2 - 2/5*q = 0.
-1, 0
Let k(f) = -3*f**2 - 2*f - 1. Let n be k(-1). Let b = n + 4. Factor 0*c**4 - 3*c**b + 3*c**3 + c - c**4 + 0*c**2.
-c*(c - 1)**3
Let z be (-56)/45 - 1 - -2. Let q = z + 7/15. Factor -2/9*r**2 + q + 0*r.
-2*(r - 1)*(r + 1)/9
Let j(m) = -2*m**2 - 5*m + 9. Let o(p) = -4*p**2 + 4*p**2 - p**2 + 4 - 2*p. Let f be -1*(-6)/(-9)*6. Let x(i) = f*j(i) + 9*o(i). Suppose x(g) = 0. What is g?
0, 2
Let j = 364/5 - 72. Find s such that 0*s**3 - 4/5*s**2 + 0 - 2/5*s + j*s**4 + 2/5*s**5 = 0.
-1, 0, 1
Let h(b) = -3*b**3 - 3*b**2 - 5. Let s(r) = -r**3 - r**2 - 2. Let f(t) = -2*h(t) + 5*s(t). Factor f(d).
d**2*(d + 1)
Let k be 4*1 + (-14)/28. Let w(j) = -j**2 + 2. Let d be w(0). Factor k*c**d - 9/2*c + 1.
(c - 1)*(7*c - 2)/2
Let t(q) be the third derivative of -q**7/280 + 3*q**6/160 - 3*q**5/80 + q**4/32 + 20*q**2. Factor t(o).
-3*o*(o - 1)**3/4
Suppose 2*v - 5*q - 23 = 10, q - 11 = -4*v. Let z(d) be the third derivative of -2*d**2 + 0*d**v + 1/15*d**5 - 1/60*d**6 + 0*d**3 + 0*d + 0. Solve z(u) = 0.
0, 2
Let a(m) = m + 11. Let d be a(-8). Determine p so that 3 - 6 + 3 - 27*p**d + 6*p + 21*p**2 = 0.
-2/9, 0, 1
Let n be (-6)/(-5)*-5*1. Let x be (3/n)/(3/(-30)). Factor 1/2*m**x - 3/2*m**4 + 1/2 + m**3 - 3/2*m + m**2.
(m - 1)**4*(m + 1)/2
Let u(x) be the second derivative of x**6/45 + x**5/10 + x**4/6 + x**3/9 + x. Factor u(v).
2*v*(v + 1)**3/3
Let q(j) = -j - 8. Suppose -17 = 5*m + 4*w + 13, 4*m = -4*w - 20. Let i be q(m). Let -2*s - 15*s**3 + 18*s**4 - i + 17*s - 26*s**2 + 10*s**4 = 0. What is s?
-1, 1/4, 2/7, 1
Let r = 18 - -2. Suppose -5*w = -0 - r. Find a such that 12*a**2 + 4 + 10*a**3 + 2*a**4 + 6*a - 3 + a**w = 0.
-1, -1/3
Let o(t) = -2*t**4 - 24*t**3 + 48*t**2 - 48*t + 18. Let r(s) = -3*s**4 - 25*s**3 + 48*s**2 - 49*s + 19. Let p(c) = 5*o(c) - 4*r(c). Find n such that p(n) = 0.
1, 7
Let d(k) = 5*k**4 + 2*k**3 - 7*k**2. Let w(o) = o**4 - o**2. Let j(r) = d(r) - 3*w(r). Factor j(c).
2*c**2*(c - 1)*(c + 2)
Let l(t) be the second derivative of t**4/48 + t**3/24 - 3*t**2/4 + 6*t. Factor l(i).
(i - 2)*(i + 3)/4
Let m be (3 - 7) + (-98)/(-24). Let d(z) be the second derivative of 0*z**2 - 2*z - 1/12*z**4 + 0 - m*z**5 + 1/9*z**3. Factor d(k).
-k*(k + 1)*(5*k - 2)/3
Let x(y) = y - 1. Let u(h) = 2*h + 20*h**2 + 20*h - 26*h**3 + 32*h**3. Let a(b) = -u(b) + 4*x(b). Factor a(w).
-2*(w + 1)*(w + 2)*(3*w + 1)
Let v(z) = -10*z**2 - 2*z + 6. Let k(c) = -2*c - 7. Let w be k(-5). Let l(n) = -w*n**2 - 6*n**2 - 3*n + 5 + n. Let y(s) = -6*l(s) + 5*v(s). Factor y(d).
2*d*(2*d + 1)
Solve 2/3*f + 2/9*f**2 + 4/9 = 0 for f.
-2, -1
Suppose 4 = -2*s - 4*l, 0*s - l + 2 = 2*s. Factor -9*z**s + 1 - z + 0 - 6*z**3 - 4*z**4 - 5*z**3.
-(z + 1)**3*(4*z - 1)
Let k(v) be the first derivative of 7*v**4/8 - 5*v**3 + 9*v**2 - 4*v + 31. Solve k(r) = 0 for r.
2/7, 2
Factor -12 - 2*f**2 + 12 - 10*f.
-2*f*(f + 5)
Let t(h) be the third derivative of h**6/40 + h**5/20 + 28*h**2. Let t(v) = 0. What is v?
-1, 0
Let k(f) be the second derivative of f**6/45 + f**5/5 + 13*f**4/18 + 4*f**3/3 + 4*f**2/3 - 7*f. Solve k(n) = 0.
-2, -1
Let t(a) be the second derivative of -3*a**5/50 + 2*a**4/5 - 36*a. Solve t(y) = 0 for y.
0, 4
Let q(j) be the third derivative of -j**7/1575 - j**6/900 + j**5/450 + j**4/180 + 3*j**2. Factor q(k).
-2*k*(k - 1)*(k + 1)**2/15
Let 20*p**4 - 41*p - 44*p**3 - 51*p**3 - 42*p**2 + p - 20 + 177*p**2 = 0. Calculate p.
-1/4, 1, 2
Let g(o) be the second derivative of -o**5/70 - o**4/21 + o**3/21 + 2*o**2/7 - 5*o. Factor g(d).
-2*(d - 1)*(d + 1)*(d + 2)/7
Let z(k) = 2*k**4 - 18*k**3 - 6*k**2 + 6*k. Let s(p) = p**4 - 17*p**3 - 5*p**2 + 5*p. Let m(c) = 6*s(c) - 5*z(c). Solve m(d) = 0.
-3, 0
Determine z so that -18/7*z - 48/7*z**2 - 32/7*z**3 - 2/7 = 0.
-1, -1/4
Let s be -6*(-1)/(-2) + 5. Suppose -5*d + 28 = -3*f + 4, -3*d + 3*f + 18 = 0. Factor s*p**2 + 3 + d - 2 + 0 + 6*p.
2*(p + 1)*(p + 2)
Let a(i) be the first derivative of i**3 + 9*i**2/2 + 6*i + 42. Factor a(t).
3*(t + 1)*(t + 2)
Determine s, given that -1/5*s**3 - 3*s - 9/5 - 7/5*s**2 = 0.
-3, -1
Suppose 5*f = 2*f + 6. Suppose 0 = -4*k - 0 + 8. Find b such that f*b**2 + b - b**k + 0*b**2 = 0.
-1, 0
Let d(u) be the third derivative of 0 - 1/24*u**4 + 1/240*u**5 - 2*u**2 + 0*u + 1/8*u**3. Factor d(o).
(o - 3)*(o - 1)/4
Let q(n) be the second derivative of -n**5/60 - n**4/9 - 2*n**3/9 - 36*n. Find t such that q(t) = 0.
-2, 0
Let a(q) = 4*q**4 + 10*q**3. Let n(x) be the second derivative of -x**6/30 - x**5/20 + x. Let f be 3 - ((4 - 2) + 0). Let p(t) = f*a(t) + 8*n(t). Factor p(m).
-2*m**3*(2*m - 1)
Let a be (-2)/4 - (-210)/28. Suppose -5*b + 17 - a = 0. Factor 0 - 1/2*o**4 + 0*o**b + 0*o - o**3.
-o**3*(o + 2)/2
Factor -10/9*i - 2/9*i**2 + 0.
-2*i*(i + 5)/9
Let u(x) = 375*x**4 - 335*x**3 - 70*x**2 + 20*x + 10. Let v(t) = -t**4 + t**3 + t**2 - t. Let d(r) = -u(r) + 25*v(r). Let d(q) = 0. Calculate q.
-1/4, 2/5, 1
Let v be ((-44)/(-308))/(6/14). Factor 4/3*r**3 + 0*r - v*r**4 - r**2 + 0.
-r**2*(r - 3)*(r - 1)/3
Let q(p) be the first derivative of -5*p**4/4 + 5*p**3/3 + 5*p**2/2 - 5*p + 9. Determine t, given that q(t) = 0.
-1, 1
Let h(q) be the second derivative of q + 4/3*q**3 + 4/3*q**4 + 0 + 1/2*q**5 + 0*q**2 + 1/15*q**6. Factor h(d).
2*d*(d + 1)*(d + 2)**2
Let -4 + 8*c + 4*c**3 - 6*c**3 + 0 - 2*c = 0. What is c?
-2, 1
Let x be 102/8 - (2 + -1). Let o = x + -10. Factor o*k**2 + 9/4*k + 1/2.
(k + 1)*(7*k + 2)/4
Let v(h) = -h + 4. Let a be v(-4). Let 0*k**3 - 6*k**5 + a*k**5 - 2*k**3 = 0. Calculate k.
-1, 0, 1
Let h(o) be the second derivative of o**4/36 + o**3/9 + o**2/6 - 26*o. Factor h(y).
(y + 1)**2/3
Suppose 2*u = 0, q - 4*u = -u + 6. Let z(i) = -i**2 + 6*i + 3. Let k be z(q). Factor -10*b - 3/2*b**k + 4 + 7*b**2.
-(b - 2)**2*(3*b - 2)/2
Suppose -80*r - 10 + 14 - 35*r**2 - 41 - 5*r**3 - 23 = 0. Calculate r.
-3, -2
Let w(r) = -2*r**2 + 6*r + 2. Let x be w(3). Find z, given that 2/3*z**4 - 1/3*z**5 + 0*z**x - 1/3*z**3 + 0*z + 0 = 0.
0, 1
Let f(m) be the third derivative of 0 + m**2 - 1/12*m**4 - 1/90*m**5 + 0*m**3 + 0*m. Factor f(d).
-2*d*(d + 3)/3
Let z(w) be the third derivative of -w**8/2184 + w**7/455 - w**6/390 - w**5/195 + w**4/52 - w**3/39 - 6*w**2. Factor z(d).
-2*(d - 1)**4*(d + 1)/13
Let w(k) be the second derivative of 0*k**2 - 1/54*k**4 + 1/27*k**3 + 1/135*k**6 - 5*k - 1/90*k**5 + 0. Factor w(y).
2*y*(y - 1)**2*(y + 1)/9
Determine h, given that -2*h**3 + 3*h**3 + h - 2*h**3 = 0.
-1, 0, 1
Let z be (-3)/16*7/21. Let n = z - -11/48. Factor 1/6*y**2 - 1/3 + n*y.
(y - 1)*(y + 2)/6
Factor -2/5*b**2 + 0 - 2/5*b.
-2*b*(b + 1)/5
Solve -w**4 - 5*w**3 + 5*w**2 - 4*w**4 + 8*w**5 - 3*w**5 = 0.
-1, 0, 1
Let a(y) be the third derivative of y**7/6300 + y**6/900 + y**4/6 + 3*y**2. Let w(t) be the second derivative of a(t). Find i, given that w(i) = 0.
-2, 0
Let y(s) = 5*s**4 + 6*s**3 + 4*s**2 + 4*s + 4. Let i(k) = 9*k**4 + 11*k**3 + 7*k**2 + 7*k + 7. Let w(n) = -4*i(n) + 7*y(n). Suppose w(d) = 0. What is d?
-2, 0
Let y(x) be the first derivative of -x**4/6 + 10*x**3/9 - x**2 - 6*x + 14. Solve y(q) = 0.
-1, 3
Let f(b) be the second derivative of -1/3*b**3 - 1/6*b**4 + 2*b + 0 - 1/3*b**2 - 1/30*b**5. Factor f(i).
-2*(i + 1)**3/3
Let c be (128/(-112))/((-6)/14). Factor 2/3*l**2 - c*l + 8/3.
2*(l - 2)**2/3
Let g = -13 + 8. Let j(n) = 5*n - n - 6 + 0*n**2 + 6*n**2 + 0*n**2. Let d(b) = -7*b**2 - 5*b + 7. Let w(m) = g*j(m) - 4*d(m). Suppose w(l) = 0. What is l?
-1, 1
Let y(v) be the second derivative of -v**5/40 - v**4/12 + v**3/12 + v**2/2 - 6*v. Factor y(t).
-(t - 1)*(t + 1)*(t + 2)/2
Let n(t) be the third derivative of 1/540*t**6 - 1/54*t**4 - 7*t**2 + 0 + 0*t + 1/270*t**5 + 0*t**3. Factor n(y).
2*y