*2 + 1/4*l.
-l*(l - 2)/8
Let r(p) be the third derivative of p**6/24 - p**4/12 + p**3/6 - 5*p**2. Let w be r(1). Solve 2*o**5 - 10/3*o**w - 2/3*o**3 + 10/3*o**2 + 0 - 4/3*o = 0 for o.
-1, 0, 2/3, 1
Let v(h) be the first derivative of -h**3/3 + h**2/2 - 5. Suppose v(y) = 0. Calculate y.
0, 1
Let m(q) = -2*q**3 + 6*q**2 - 8*q. Let f(x) = x**2 - x. Let g = -16 - -17. Let u(a) = g*m(a) - 8*f(a). Factor u(v).
-2*v**2*(v + 1)
Let n(y) be the third derivative of -y**5/450 - y**4/180 + 2*y**3/45 + 9*y**2. Let n(f) = 0. What is f?
-2, 1
Determine v so that 5*v**3 - 2 + 0 - 5*v - v**3 + 4*v**4 + 499*v**2 - 501*v**2 + v**5 = 0.
-2, -1, 1
Let z = -7/12 - -5/4. Let 2/3*b + 7/3*b**2 - z*b**3 + 0 - 7/3*b**4 = 0. What is b?
-1, -2/7, 0, 1
Let g(v) be the second derivative of 2*v + 0*v**2 + 1/36*v**4 - 1/90*v**6 + 1/30*v**5 + 0 - 1/9*v**3. Let g(q) = 0. Calculate q.
-1, 0, 1, 2
Let l(p) be the second derivative of p**7/840 - p**5/40 + p**4/12 - 2*p**3/3 + p. Let s(w) be the second derivative of l(w). Solve s(g) = 0 for g.
-2, 1
Let q be (4 + -22)/(0 + -2). Let -20*x**3 + 3 - q*x - 2*x**5 - 5 - x - 20*x**2 - 10*x**4 = 0. What is x?
-1
Let p(t) = -t**2 - 5*t. Let z be p(-4). Suppose -2*a + 16 = -5*r - 15, -3*a - r = -z. Factor n**2 - 7*n - n**2 - 2*n**4 + 4 + 6*n**2 + 2*n**a - 3*n.
-2*(n - 1)**3*(n + 2)
Let l(r) be the second derivative of -2*r**6/15 + 4*r**5/5 - r**4 - 18*r. Suppose l(m) = 0. What is m?
0, 1, 3
Find b such that -2 + 9*b**4 - b**2 + 8*b**4 + 5*b**2 - 19*b**4 = 0.
-1, 1
Let t be 7441/420 - 1/4. Let a = t + -50/3. Factor 0 - 2/5*m**3 - a*m**2 - 2/5*m.
-2*m*(m + 1)**2/5
Let i(l) be the second derivative of 0*l**5 - 1/9*l**4 + 1/3*l**2 - 4*l + 0*l**3 + 0 + 1/45*l**6. What is y in i(y) = 0?
-1, 1
Factor -5/2 + 1/2*x**3 - 1/2*x + 5/2*x**2.
(x - 1)*(x + 1)*(x + 5)/2
Let h(n) be the third derivative of n**6/120 - n**5/60 + 16*n**2. Determine k, given that h(k) = 0.
0, 1
Let o be -2*(-2 - 3)*-1. Let h = o - -10. Find z such that 3/4*z**5 + 0 + 3/4*z**4 + h*z - 3/4*z**2 - 3/4*z**3 = 0.
-1, 0, 1
Find t such that -2/9*t**2 - 4/9 - 2/3*t = 0.
-2, -1
Let c = 73 - 73. Let o(x) be the second derivative of -1/6*x**3 + c + 1/8*x**4 - 1/30*x**5 + x + 1/12*x**2. Factor o(r).
-(r - 1)**2*(4*r - 1)/6
Solve 2/3*w**3 + 1/6*w + 0 - 5/6*w**2 = 0 for w.
0, 1/4, 1
Let g(s) be the second derivative of s**6/10 - 3*s**5/20 - 3*s**4/4 + 5*s**3/2 - 3*s**2 - 2*s. Factor g(p).
3*(p - 1)**3*(p + 2)
Let c(i) be the second derivative of 0*i**5 - i + 1/2*i**2 + 0 + 1/6*i**3 - 1/16*i**4 + 1/240*i**6. Let t(m) be the first derivative of c(m). Factor t(f).
(f - 1)**2*(f + 2)/2
Let l be 2/(-7) + 10/35. Let j be 9*(-1)/(l + -2). Let -2*p**4 + 0 - 3*p**2 - j*p**3 - 1/2*p = 0. Calculate p.
-1, -1/4, 0
Let z(p) = -p**2 - 1. Let i(s) = 9*s + 3. Let l(u) = -i(u) + 3*z(u). Let l(o) = 0. Calculate o.
-2, -1
Let v(f) be the third derivative of 1/36*f**4 + 0 + 0*f - 1/18*f**3 - f**2 - 1/180*f**5. Find q, given that v(q) = 0.
1
Suppose -3*i = 5*f - 59, 5*f + 2 + 8 = 0. Let j = 25 - i. Let 3/2 - 27*o**3 + 9/4*o - 105/4*o**j = 0. What is o?
-1, -2/9, 1/4
Determine s so that 9 - 3 + 4*s - s**2 - 4 - 5 = 0.
1, 3
Let c(l) be the first derivative of l**4/7 - 8*l**3/7 + 24*l**2/7 - 32*l/7 + 13. Solve c(w) = 0 for w.
2
Let f(d) be the second derivative of 1/40*d**6 - d + 0*d**3 + 0 + 0*d**4 - 3/80*d**5 + 0*d**2. Factor f(j).
3*j**3*(j - 1)/4
Suppose -2*w - 7 = -k - 0*w, w = -k + 1. Find i such that 5/4*i**2 + 1/2*i**k + i + 1/4 = 0.
-1, -1/2
Let r(s) be the third derivative of -1/12*s**4 + 3/20*s**5 + 0 + 0*s - 4*s**2 + 0*s**3. Let r(n) = 0. Calculate n.
0, 2/9
Let d(k) be the third derivative of -k**11/110880 - k**10/8400 - k**9/1680 - k**8/840 - k**5/30 + k**2. Let j(v) be the third derivative of d(v). Factor j(i).
-3*i**2*(i + 2)**3
Let r(a) be the second derivative of -5*a**7/252 + a**6/12 + 5*a**5/8 + 85*a**4/72 + 5*a**3/6 + 48*a. Suppose r(m) = 0. What is m?
-1, 0, 6
Let z(a) be the second derivative of a**7/2520 - a**5/120 + a**4/36 + 5*a**3/6 + 3*a. Let m(n) be the second derivative of z(n). Find w, given that m(w) = 0.
-2, 1
Let n(u) be the third derivative of -1/70*u**7 + 0*u**6 + 1/10*u**5 + 0 - 1/2*u**3 + 0*u + 0*u**4 - 4*u**2. What is w in n(w) = 0?
-1, 1
Factor -8/3*g + 8/3 + 2/3*g**2.
2*(g - 2)**2/3
Let n = 49/2 - 23. Solve -1/2*p**5 + n*p - 1/2 + 3/2*p**4 - p**2 - p**3 = 0.
-1, 1
Let x(c) = -7*c**2 + 2*c + 6. Let l(s) = 8*s**2 - 2*s - 7. Let q(a) = 6*l(a) + 7*x(a). Let q(g) = 0. What is g?
0, 2
Let p(s) be the second derivative of s**6/135 - 7*s**5/90 + 4*s**4/27 + 16*s**3/27 - 16*s. Factor p(l).
2*l*(l - 4)**2*(l + 1)/9
Let o = 4 + 0. Factor 6*f**2 - 4*f**o - 15 - 4*f**3 + 16 - 4*f + 5*f**4.
(f - 1)**4
Let d(g) = -g + 6. Let w be d(6). Let f(s) be the second derivative of w*s**4 + 0*s**2 + 1/210*s**7 + s + 0 - 1/100*s**5 + 0*s**3 + 0*s**6. Factor f(u).
u**3*(u - 1)*(u + 1)/5
Let r(n) = -n**2 + 3*n. Let t be r(3). Factor -21*x**3 - 8*x**2 + 4*x**4 + 4 + t*x**4 + 21*x**3.
4*(x - 1)**2*(x + 1)**2
Let n = 79 + -77. Factor -1/4*o**4 + 3/4*o**3 + 0*o**n + 0 - o.
-o*(o - 2)**2*(o + 1)/4
Let f(m) be the first derivative of -6/5*m**2 - 5 + 12/5*m + 1/5*m**3. Solve f(i) = 0 for i.
2
Let h = 35 - 27. Factor 0*i - 14/3*i**5 + h*i**4 - 4/3*i**2 - 2*i**3 + 0.
-2*i**2*(i - 1)**2*(7*i + 2)/3
Let y = 0 - -4. Suppose -10 + y = -2*q. Determine v, given that 0*v**2 + 0*v + 0 + 2/7*v**q = 0.
0
Let j(f) = f**3 + 31*f**2 + 29*f - 25. Let k be j(-30). Solve -1/3*m**4 - 1/3 + 2*m**3 - m**k - m + 2/3*m**2 = 0.
-1, -1/3, 1
Let r(g) be the third derivative of g**7/840 - g**5/80 - g**4/48 - 4*g**2. Factor r(q).
q*(q - 2)*(q + 1)**2/4
Suppose 0 = 2*u - b + 3, b - 12 = -4*u - 3*b. Let f(v) be the first derivative of u*v + 0*v**2 - 1/9*v**3 + 2. Factor f(w).
-w**2/3
Suppose 2*l - 5 = w, 3*l + 0 = 2*w + 10. Solve 1/2*k**2 - 1/4*k + l = 0 for k.
0, 1/2
Let p be (-4)/22 - 144/(-66). Factor 2*u**2 - u**p - 8*u + 8*u**3 + 0*u + 3*u**2 + 2*u**4 - 6.
2*(u - 1)*(u + 1)**2*(u + 3)
Suppose -2*r = 4*q - q - 11, 4*r - 15 = q. Let m(t) be the third derivative of 1/180*t**5 + 0 + 1/24*t**r - 2*t**2 + 0*t + 1/9*t**3. Factor m(i).
(i + 1)*(i + 2)/3
Let q be 2/16*-22 + 3. Let u(t) be the second derivative of 3/20*t**5 + q*t**4 + 0 + 0*t**2 + t + 1/30*t**6 + 1/6*t**3. Factor u(c).
c*(c + 1)**3
Let g be 6*3*6/18. Suppose 2*f = -2 + g. Factor 1 - b**f + 1 - 4*b + b**2 + 2*b**2.
2*(b - 1)**2
Let a(b) = -4*b**5 + 8*b**4 - 2*b**3 - 10*b**2 + 4*b - 2. Let n(x) = -x**3 - x**2 - 1. Let y(s) = a(s) - 2*n(s). Let y(r) = 0. Calculate r.
-1, 0, 1
Let c be (8/6)/(2/3). Factor 27 - 14*t - 5*t**c + 8*t**2 - 4*t.
3*(t - 3)**2
Let r be 5/33 - 46/(-253). What is z in r*z**2 + 0*z + 0 + 1/3*z**3 = 0?
-1, 0
Factor 0 + 0*z**2 + 0*z**3 + 1/8*z**5 + 0*z + 1/8*z**4.
z**4*(z + 1)/8
Suppose -4*b + 15 = -5. Suppose -3 = -b*p + 4*p. What is n in 2/7*n - 4/7*n**2 + 2/7*n**p + 0 = 0?
0, 1
Factor -1/4*r**2 + 3/8*r**4 + 1/4*r**3 - 1/8 + 1/8*r**5 - 3/8*r.
(r - 1)*(r + 1)**4/8
Let i(v) be the second derivative of v**7/84 + v**6/60 - v**5/20 - v**4/12 + v**3/12 + v**2/4 + v - 28. Factor i(q).
(q - 1)**2*(q + 1)**3/2
Suppose 5*l + 4*u - 26 = 2*u, 0 = -5*l + 2*u + 14. Find g, given that 0*g**5 + 2*g**5 + 2*g**l - g**4 + 3*g**4 = 0.
-2, 0
Let h(b) be the second derivative of -b**9/13608 - b**8/1890 - b**7/945 - b**3/6 + 3*b. Let v(m) be the second derivative of h(m). Solve v(o) = 0.
-2, 0
Let f = -172 - -175. Factor -1/3*q + 1/3*q**4 + 1/3*q**f + 0 - 1/3*q**2.
q*(q - 1)*(q + 1)**2/3
Let h be (-1)/((-2)/6) + 0. Let r(l) be the first derivative of 0*l + 0*l**2 - 1 - 5/3*l**6 - 1/2*l**4 + 4/3*l**h - 16/5*l**5. Factor r(o).
-2*o**2*(o + 1)**2*(5*o - 2)
Suppose -z - 16 = -5*z, -2*c = -z + 10. Let s = c + 4. Factor -p**2 - 4*p + 2*p + 4*p - s.
-(p - 1)**2
Let v(c) be the third derivative of c**7/280 - 3*c**5/40 + c**4/4 - c**3/2 - 4*c**2. Let x(d) be the first derivative of v(d). Let x(y) = 0. What is y?
-2, 1
Solve 0 - 4/7*s**2 - 2/7*s - 2/7*s**3 = 0 for s.
-1, 0
Let o = -2 + 2. Let v = o - -1. What is h in 2*h - v + h + 3 + 2*h**2 + h = 0?
-1
Let d(r) be the first derivative of -4*r**5/5 + 3*r**4/2 - r**2 - 6. Let d(h) = 0. Calculate h.
-1/2, 0, 1
Let k be ((-6)/8)/((-18)/48). Let s(o) be the second derivative of 0*o**k - 1/42*o**4 + 1/21*o**3 - o + 0. Find p, given that s(p