5/20 - 8*h**3/3 - 38*h. Determine r so that j(r) = 0.
-4, -2, 0, 1
Let y(t) = -33 + 2*t + 33. Let v(z) = z. Let l(h) = -h**2 + 6*h + 1. Let o(d) = -l(d) - 5*v(d). Let i(a) = -2*o(a) - 11*y(a). Factor i(r).
-2*(r - 1)*(r + 1)
Let u(s) be the third derivative of s**10/90720 - s**8/20160 + s**4/12 + 3*s**2. Let p(x) be the second derivative of u(x). Solve p(q) = 0 for q.
-1, 0, 1
Let k(h) be the second derivative of 3*h**4/10 - 2*h**3/15 - 6*h. Find j such that k(j) = 0.
0, 2/9
Factor -14/5*i**2 + 2*i - 2/5 + 6/5*i**3.
2*(i - 1)**2*(3*i - 1)/5
Let -1/3 - 8/3*f**2 + 7/3*f - 16/3*f**3 = 0. Calculate f.
-1, 1/4
Let f(p) be the third derivative of p**8/14 - 2*p**7/7 + 9*p**6/20 - 7*p**5/20 + p**4/8 - 2*p**2. What is x in f(x) = 0?
0, 1/2, 1
Suppose 5*i**3 + 5*i**4 - 13*i**3 - 12*i**3 = 0. What is i?
0, 4
Suppose 5*x = n - 3*n, -3*x = -n - 11. Suppose 0*u + 16 = 2*u - 4*l, -u = x*l. Let -1/3*g**5 + 0*g + 1/3*g**u - 1/3*g**2 + 0 + 1/3*g**3 = 0. Calculate g.
-1, 0, 1
Let r(z) be the third derivative of z**7/42 - z**6/40 - 7*z**5/60 + z**4/8 + z**3/3 + z**2. Factor r(k).
(k - 1)**2*(k + 1)*(5*k + 2)
Let r = -123 - -123. Let g(a) be the second derivative of -a - 1/12*a**4 + 0 + 1/2*a**2 + r*a**3. Factor g(c).
-(c - 1)*(c + 1)
Let u(h) be the first derivative of 2*h**3/21 + 11*h**2/7 - 24*h/7 + 28. Suppose u(g) = 0. Calculate g.
-12, 1
Let o(a) = 2 + 6*a + 5 + 4*a**2 - a**2 - 2*a**2. Let m be o(-5). Let 1/3*b**3 + 0*b - 1/3*b**m + 0 = 0. What is b?
0, 1
Let i(s) be the first derivative of 4*s + 1/18*s**4 - 1 - 1/45*s**6 + 1/9*s**3 - 1/30*s**5 + 0*s**2. Let m(v) be the first derivative of i(v). Factor m(k).
-2*k*(k - 1)*(k + 1)**2/3
Let t(f) be the second derivative of 3*f**5/20 - 3*f**4/8 + 3*f**2/4 + 10*f. Solve t(s) = 0 for s.
-1/2, 1
Let d = 104 + -100. Factor -1/3*z**d + 0 - 8/3*z**2 - 4/3*z - 5/3*z**3.
-z*(z + 1)*(z + 2)**2/3
Let a(c) = 2*c**5 + 3*c**4 - 3*c**3 + 4*c**2 - 3*c. Let x(f) = 3*f**5 + 6*f**4 - 6*f**3 + 7*f**2 - 5*f. Let z(v) = -5*a(v) + 3*x(v). Factor z(k).
-k**2*(k - 1)**3
Let v = -133 - -137. Let b(i) be the second derivative of -1/9*i**3 + 1/9*i**v + 3*i - 1/30*i**5 + 0 + 0*i**2. Factor b(k).
-2*k*(k - 1)**2/3
Let y be 0*(-2)/6 - -2. Factor 6*w**y - w**2 + 3*w + 3*w - 2*w**2.
3*w*(w + 2)
Let k(w) be the third derivative of -2*w**2 + 0*w**3 - 4/175*w**7 + 0 + 1/40*w**4 - 1/100*w**5 + 0*w - 1/20*w**6. Determine p so that k(p) = 0.
-1, -1/2, 0, 1/4
Factor -36*i**3 + 62*i - 8 + 28*i**4 + 64*i - 90*i - 20*i**2.
4*(i - 1)**2*(i + 1)*(7*i - 2)
Suppose 0 = 2*v + i - 13 - 5, -4*v = -5*i - 64. Factor -30*c**4 + 44*c**5 - 53*c**5 - 3*c - 7*c**2 - v*c**2 - 36*c**3.
-3*c*(c + 1)**3*(3*c + 1)
Let g = -23 + 37. Suppose 6*m + 2 = g. Factor 5/2*t + 1/2 + t**4 + 7/2*t**3 + 9/2*t**m.
(t + 1)**3*(2*t + 1)/2
Let w(u) be the third derivative of u**6/120 + u**5/12 + u**3/3 + 10*u**2. Let v be w(-5). Factor 0 + 1/4*n**v + 1/4*n**3 + 0*n.
n**2*(n + 1)/4
Let f be ((-80)/6)/(-2) + 36/(-6). Find x, given that -8/9*x**3 + f*x + 4/9 - 4/9*x**2 + 2/9*x**5 + 0*x**4 = 0.
-1, 1, 2
Let p(w) = -w**3 + w**2 - 1. Let g(a) = -a**3 - 2*a**2 + 5*a - 4. Let q(s) = 3*g(s) - 6*p(s). Solve q(c) = 0 for c.
1, 2
What is c in -2/15*c - 2/15*c**2 + 4/5 = 0?
-3, 2
Let u be 1*3/(-2)*-4. Factor 2 + u*f**2 + 2*f - 6*f - 4.
2*(f - 1)*(3*f + 1)
Let u be (-36)/(-4) + (4 - (4 - 0)). Factor -u*w**3 + 1 - 15/2*w + 31/2*w**2.
-(w - 1)*(2*w - 1)*(9*w - 2)/2
Suppose 1 = -n + 3. Let s be 0 + (n - (0 + 2)). Factor s*r + 1/3 - 2/3*r**2 + 1/3*r**4 + 0*r**3.
(r - 1)**2*(r + 1)**2/3
Determine o, given that o**3 + 82*o**5 - 81*o**5 - 2*o**3 = 0.
-1, 0, 1
Let h be (3 - (-30)/(-9))*0. Suppose 4 = 2*y - h*y. Factor 0 - k**2 - y*k - 3*k - 4 + k.
-(k + 2)**2
Let o(g) be the first derivative of -g**3/18 + g**2/12 + g/3 - 52. Let o(t) = 0. Calculate t.
-1, 2
Let z(w) be the first derivative of w**3 - 6*w**2 - 15*w - 35. Solve z(h) = 0 for h.
-1, 5
Let l(r) = r**3 + 3. Let s be l(0). Suppose -s*h + 2*h = -4. What is d in -2*d**2 - 3*d**5 + 6*d**3 - 3*d**3 - 2*d**4 + h*d**4 = 0?
-1, 0, 2/3, 1
Suppose 81 = 23*d + 12. Let -2/5*x**d - 6/5*x - 2/5 - 6/5*x**2 = 0. What is x?
-1
Let d = -6611/1260 + 21/4. Let z(u) be the third derivative of 1/180*u**6 - u**2 - 1/90*u**5 + 0 + d*u**7 + 0*u**3 + 0*u - 1/36*u**4. Factor z(j).
2*j*(j - 1)*(j + 1)**2/3
Let b be 2 + -3 + (1 + -4 - -6). Let g = 8147/3 - 2669. Factor g*q**3 - 40/3*q + 98/3*q**4 - b*q**2 + 8/3.
2*(q + 1)**2*(7*q - 2)**2/3
Suppose 4*s = 4, -2 = 4*m - 2*s - 0*s. Let o = m - -2. Factor -2*a + 5*a**5 - 4*a**4 - 5*a**5 + o*a**5 + 4*a**2.
2*a*(a - 1)**3*(a + 1)
Let q be -2 - ((-2884)/960 + 1). Let s(p) be the third derivative of 0*p**4 - 2*p**2 + 0*p + 0*p**3 - q*p**5 + 1/120*p**6 + 0 - 1/280*p**7. Factor s(w).
-w**2*(w - 1)*(3*w - 1)/4
Suppose -5*y + 6 = 4*p + 1, 0 = 4*y + 4*p. Suppose 2*x = y*x - 3. Solve q**2 + 0 - 2 + x = 0 for q.
-1, 1
Let f be 1/(-4 + 45/10). Suppose 4/5*i + 2/5*i**f + 2/5 = 0. What is i?
-1
Suppose 9*h = 31*h + 5*h. Solve 0*y + 2/9*y**3 + 4/9*y**4 + 0*y**2 + h + 2/9*y**5 = 0.
-1, 0
Suppose -1 = 2*c - 3, -3*d + 19 = -5*c. Let j = d - 6. Find m, given that m**2 - j*m - m**3 + 3*m**3 + 2*m + m**4 = 0.
-1, 0
Let s(r) be the third derivative of r**7/420 - r**6/60 + 13*r**5/480 - r**4/64 + 6*r**2. Factor s(i).
i*(i - 3)*(2*i - 1)**2/8
Suppose 0 - 2/7*h**3 + 2/7*h**2 + 4/7*h = 0. Calculate h.
-1, 0, 2
Let j(c) be the second derivative of c**7/7560 + c**6/1080 + c**5/360 - c**4/4 + 2*c. Let d(z) be the third derivative of j(z). Factor d(u).
(u + 1)**2/3
Let m = -2/4327723 + 5072099658/17964378173. Let b = 2/593 + m. Factor -4/7*z + b + 2/7*z**2.
2*(z - 1)**2/7
Let y(x) be the second derivative of -x**9/68040 + x**8/7560 - x**7/2268 + x**6/1620 - x**4/4 + 3*x. Let p(k) be the third derivative of y(k). Factor p(o).
-2*o*(o - 2)*(o - 1)**2/9
Let h be 3 + (1 - (-1 + 4)). Factor 1 + 0 + 21*d**2 + 6*d + 15*d**3 - h.
3*d*(d + 1)*(5*d + 2)
Let g(w) be the first derivative of w**4/2 + 10*w**3/3 + 3*w**2 - 18*w + 37. Factor g(i).
2*(i - 1)*(i + 3)**2
Let s(v) be the third derivative of -1/24*v**3 + 1/480*v**6 - 1/80*v**5 + 1/32*v**4 + 0 + 0*v + 3*v**2. Factor s(b).
(b - 1)**3/4
Let j = 83/55 + -1/110. Factor 0*b + 0 - j*b**4 - 2*b**3 - 1/2*b**2.
-b**2*(b + 1)*(3*b + 1)/2
Factor -8 - 47*n**2 + 3 - 35*n - 53*n**3 + 132*n**2 + 8*n**3.
-5*(n - 1)**2*(9*n + 1)
Let a(n) be the second derivative of -n**5/4 + 5*n**4/12 + 5*n**3/6 - 5*n**2/2 + 6*n. Let a(d) = 0. What is d?
-1, 1
Let x(m) = -2*m**3 - 8*m. Let n(l) = -5*l**3 - 24*l. Let r(o) = 3*n(o) - 8*x(o). Let g(y) = 3*y. Let q(d) = 8*g(d) + 3*r(d). Suppose q(v) = 0. Calculate v.
0
Let k(l) be the first derivative of -l**5 - l**4 + 2*l**3/3 + 2*l**2 - l + 2. Let d(y) = y**4 - y**2 + y**3 - y + y**2. Let m(a) = 4*d(a) + k(a). Factor m(w).
-(w - 1)**2*(w + 1)**2
Let d(t) = -t**3 - 29*t**2 - 24*t - 5. Let k(a) = 3*a**3 + 102*a**2 + 84*a + 18. Let u(l) = -18*d(l) - 5*k(l). Factor u(x).
3*x*(x + 2)**2
Let d(u) = -u**5 - u**4 - u**3 + u**2 - 2*u + 2. Let v(n) = -n**3 - n + 1. Let s(h) = 3*d(h) - 6*v(h). Let s(t) = 0. Calculate t.
-1, 0, 1
Let u(q) = 48*q**5 + 125*q**4 + 89*q**3 + 29*q**2. Let r(i) = -16*i**5 - 42*i**4 - 30*i**3 - 10*i**2. Let a(s) = -17*r(s) - 6*u(s). Factor a(z).
-4*z**2*(z + 1)**2*(4*z + 1)
Let c(h) = 6*h**3 - h**2 - h. Let w = 9 - 3. Let o(v) = 13*v**3 - v**2 - 2*v. Let a(s) = w*o(s) - 15*c(s). Let a(y) = 0. Calculate y.
-1/4, 0, 1
Let k be (33/(-6))/(54/(-12)) + -1. Determine n, given that k*n**2 + 2/3*n + 4/9 = 0.
-2, -1
Let o(i) be the first derivative of -8/7*i + 8 - 2/21*i**3 - 4/7*i**2. Solve o(s) = 0 for s.
-2
Suppose -n - 3*n - 3*n**2 - 2*n + 9 = 0. What is n?
-3, 1
Let l(g) be the first derivative of -1/300*g**5 + 0*g**4 - 3 + 0*g - 1/180*g**6 - g**3 + 0*g**2. Let p(u) be the third derivative of l(u). Solve p(r) = 0 for r.
-1/5, 0
Let w(m) be the second derivative of 0 + 0*m**4 - 1/30*m**5 + 1/9*m**3 + 0*m**2 - 6*m. Suppose w(a) = 0. What is a?
-1, 0, 1
Suppose -5*r + 0 = -15. Let 0*k**r + 0*k**2 + 2/5*k**4 + 0*k + 0 = 0. Calculate k.
0
Let h = 3 - -3. Suppose 3*z = z + h. Factor -3*d**2 + 3 + 1 - z*d + 0*d**2 + 2.
-3*(d - 1)*(d + 2)
Let c(g) = -g**2. Let w(u) = 3*u - u + 3*u**2 + u**2 + u**2. Let o(h) = -3*c(h) - w(h). Factor o(p).
-2*p*(p + 1)
Suppose k + 1 = 4*n, 0 = -3*k - 5*n + 5 + 9. 