c**3 = 0.
-2, 0, 2/7, 1
Let k(x) be the third derivative of -7*x**5/40 - x**4/64 + x**3/8 - 21*x**2. Factor k(t).
-3*(4*t - 1)*(7*t + 2)/8
Let l = 6487/249 + 51/83. Factor -80/3*s**2 + l*s + 1/3*s**5 - 10/3*s**4 + 40/3*s**3 - 32/3.
(s - 2)**5/3
Let t(v) be the third derivative of -v**6/540 + v**3/2 - 4*v**2. Let j(a) be the first derivative of t(a). Suppose j(h) = 0. Calculate h.
0
Let s(x) be the second derivative of -x**7/98 - x**6/105 + 9*x**5/140 + x**4/7 + 2*x**3/21 - 4*x. Determine h, given that s(h) = 0.
-1, -2/3, 0, 2
Let u(o) be the first derivative of -o**6/180 + o**5/45 - o**4/36 + 2*o**2 + 4. Let f(p) be the second derivative of u(p). Solve f(y) = 0 for y.
0, 1
Let c be 45/6 - (-1)/(-2). Let m(o) be the third derivative of -2*o**2 + 1/210*o**c + 0 + 0*o**3 + 1/20*o**5 - 1/24*o**4 + 0*o - 1/40*o**6. Factor m(t).
t*(t - 1)**3
Let v be (0/3)/(5 + -3 + -5). Let k(x) be the second derivative of 0*x**5 + 0*x**2 + 1/21*x**7 + 2*x - 1/12*x**4 + 0*x**3 + 1/10*x**6 + v. Factor k(h).
h**2*(h + 1)**2*(2*h - 1)
Let p(u) = -3*u**4 + 15*u**3 - 12*u**2 - 3*u. Let d(b) = b**3 - b**2 - b. Let c = -11 + 10. Let t(z) = c*p(z) + 3*d(z). Factor t(n).
3*n**2*(n - 3)*(n - 1)
Let f = -13 - -14. Suppose 0 = -3*q + f + 5. What is b in 1/3*b**3 + 2/3*b**q + 0 + 1/3*b = 0?
-1, 0
Let v(s) = s**2 - 4*s + 5. Let g be v(1). Find l, given that 0*l + 2/7*l**g + 0 = 0.
0
Let v(m) be the second derivative of 0 + 2/27*m**3 + 0*m**4 - 1/135*m**6 - 1/45*m**5 + 1/9*m**2 - 7*m. Solve v(l) = 0.
-1, 1
Let t be 2*1*(-3)/(-6). Let b = t + 2. Determine h, given that -3*h**2 + 1 - 4 + b = 0.
0
Let u(v) be the third derivative of -v**7/315 + v**6/180 + v**5/90 - v**4/36 - 2*v**2 - 5*v. Factor u(w).
-2*w*(w - 1)**2*(w + 1)/3
Let y(z) = 7*z**2 - 7*z + 4. Let p be y(1). Suppose -1/2*c**2 + 0 + 0*c**3 + 1/2*c**p - 1/4*c**5 + 1/4*c = 0. Calculate c.
-1, 0, 1
Let p(u) be the first derivative of -u**5/180 + u**4/36 + 3*u**2/2 + 2. Let k(c) be the second derivative of p(c). Determine a, given that k(a) = 0.
0, 2
Let 0*v**3 + 4*v**4 - 16*v**2 - v**5 + 18*v**2 - 5*v**3 = 0. Calculate v.
0, 1, 2
Let l(q) be the second derivative of -q**6/15 + 2*q**5/5 - 2*q**4/3 - 49*q. Factor l(m).
-2*m**2*(m - 2)**2
Let p(h) be the third derivative of 0*h + 0 + 20/27*h**4 - 4/9*h**5 - 5/189*h**7 + 4*h**2 + 1/504*h**8 - 16/27*h**3 + 4/27*h**6. Solve p(j) = 0.
1/3, 2
Let t(b) be the second derivative of b**4/3 - 2*b**3/3 - 4*b**2 - 2*b. Factor t(f).
4*(f - 2)*(f + 1)
Let x(y) be the third derivative of 5*y**8/84 - 8*y**7/35 + 3*y**6/10 - 2*y**5/15 + y**2. Suppose x(v) = 0. What is v?
0, 2/5, 1
Find g such that 1/2 - 1/2*g**2 + 0*g = 0.
-1, 1
Let d(k) = 7*k**2 + 10*k. Let t(s) = -6*s**2 - 9*s. Suppose 4*o + o - 15 = 0. Let z(x) = o*d(x) + 4*t(x). Factor z(y).
-3*y*(y + 2)
Let p(a) = a**3 + 3*a**2 - 4*a + 2. Let g be p(-4). Solve 1/5*z + 4/5*z**g + 0 = 0 for z.
-1/4, 0
Let f = -10/39 - -328/975. Let r = 29/50 - f. Find t, given that r*t**3 - 1/2*t**4 + 1/2*t**2 + 0 + 0*t - 1/2*t**5 = 0.
-1, 0, 1
Let f = -6 - -10. Let -4*y**2 + 2*y**2 - 7*y - y**2 + f*y = 0. Calculate y.
-1, 0
Suppose -25*s - 3*s**2 - 27 - 10*s + 17*s = 0. What is s?
-3
Let l(n) be the second derivative of -n**4/66 - 2*n**3/33 + 3*n**2/11 - 2*n. Factor l(y).
-2*(y - 1)*(y + 3)/11
Let v be (-6)/3 - (-16)/6. Let k = 16 - 13. Find b such that 0*b - v*b**2 + 2/3*b**k + 0 = 0.
0, 1
Let w(h) be the third derivative of h**11/166320 - h**10/75600 - h**5/20 - h**2. Let o(q) be the third derivative of w(q). Factor o(c).
2*c**4*(c - 1)
Let b(r) be the second derivative of -r**9/37800 + r**7/6300 + r**4/3 - 4*r. Let i(c) be the third derivative of b(c). Factor i(k).
-2*k**2*(k - 1)*(k + 1)/5
Suppose 2*a = 4*n + 14, 9*a - 6*a = -5*n - 1. Let m(b) be the first derivative of -b - 2 - 1/3*b**a + b**2. Let m(u) = 0. What is u?
1
Suppose f = -3, -3*v + 321 = -4*f - f. Suppose 0 = 2*y + c - 18, 0 = -4*y - y - 5*c + 55. Factor -72*r**2 - v*r**4 - 98*r**5 - 218*r**3 - r - 150*r**4 - y*r.
-2*r*(r + 1)**2*(7*r + 2)**2
Suppose 0*y = -2*y - 24. Let a be 18/y + (-23)/(-2). Factor -2 + 2*d**3 - 16*d**2 - 9*d**3 - a*d - d.
-(d + 1)**2*(7*d + 2)
Factor -1/2*x**2 - 2 + 2*x.
-(x - 2)**2/2
Let w(l) = -281*l**2 - 491*l - 229. Let y(x) = 141*x**2 + 246*x + 114. Let f(n) = 6*w(n) + 13*y(n). Factor f(a).
3*(7*a + 6)**2
Let v = 2038/3 - 677. Find o such that 2/3*o - v*o**4 + 8/3*o**2 - 4/3*o**5 - 1/3 + 2/3*o**3 = 0.
-1, 1/4, 1
Let y = 1 - -1. Factor -1 + 0*a - 3*a**2 + a + 4*a**y - a**3.
-(a - 1)**2*(a + 1)
Suppose 2/3*d**2 + 1/3 + 1/6*d**3 + 5/6*d = 0. What is d?
-2, -1
Let f(s) be the first derivative of -2 + 0*s**2 + 0*s**3 - 1/60*s**5 - 1/36*s**4 - 2*s. Let u(i) be the first derivative of f(i). What is w in u(w) = 0?
-1, 0
Suppose -5*w = -0*w + 45. Let y be (4/(-14))/(9/w). Factor -2/7*t - y*t**2 + 0.
-2*t*(t + 1)/7
Let c(b) = -59*b**2 - 46*b + 1. Let f(v) = -v**2 + v - 1. Let o(q) = c(q) - 4*f(q). Find p such that o(p) = 0.
-1, 1/11
Suppose -z - 4*w + 5 = 0, 4*z - 40 = 4*w + 20. Solve -7*k**2 - 5*k - 13*k - z*k**2 - 5*k**3 - 4 - k**3 = 0.
-2, -1, -1/3
Let g(r) = r + 6. Let z be g(-6). Let a(v) be the second derivative of 0*v**3 - 2*v + 0 + z*v**5 - 1/7*v**2 + 1/21*v**4 - 1/105*v**6. Factor a(f).
-2*(f - 1)**2*(f + 1)**2/7
Let f(s) be the third derivative of s**7/1575 - s**6/300 + s**5/150 - s**4/180 + 4*s**2. Suppose f(o) = 0. Calculate o.
0, 1
Let o(f) = f**2 - f. Let t(j) = -2*j**2 + 6*j - 4. Let h(w) = 4*o(w) + t(w). Suppose h(b) = 0. Calculate b.
-2, 1
Let l(m) = 2*m**3 - 4*m**2 + 2*m + 2. Let t be l(2). Suppose -6*s = -3*s - t. Find q such that -2/7*q**s + 4/7 + 2/7*q = 0.
-1, 2
Determine o so that 0*o**2 - 1/4*o**4 + 1/4*o**3 + 0 + 0*o = 0.
0, 1
Let k(q) = 2*q**2 + 5*q - 3. Let i be k(-4). Suppose -12 = i*x - 13*x. Factor -4/3*w - 2/3*w**x + 2*w**2 + 0.
-2*w*(w - 2)*(w - 1)/3
Let k(n) be the third derivative of n**7/1260 + n**6/120 + n**5/30 - n**4/8 - 3*n**2. Let q(g) be the second derivative of k(g). Factor q(b).
2*(b + 1)*(b + 2)
Let v(d) be the third derivative of -d**5/20 - 3*d**4/8 - d**3 + 2*d**2. Factor v(l).
-3*(l + 1)*(l + 2)
Let r be (-135)/54*(-2)/10. Let 0 + 1/2*b**3 - r*b**2 + 0*b = 0. Calculate b.
0, 1
Let j(y) = -y**4 + y - 1. Let m(w) = 11*w**4 - 25*w**3 + 20*w**2 - 6*w + 6. Let d(i) = -6*j(i) - m(i). Determine z so that d(z) = 0.
0, 1, 4
Let d(m) be the first derivative of 5*m**6/6 + 4*m**5 - 5*m**4/4 - 20*m**3/3 + 35. Factor d(z).
5*z**2*(z - 1)*(z + 1)*(z + 4)
Suppose -x - 4*x - 4*k - 6 = 0, 2*k = -5*x + 2. Determine i, given that i**2 + x*i - i - 2 + 0*i**2 = 0.
-2, 1
Let v(x) be the first derivative of -x**7/70 - 3*x**6/40 - x**5/20 + 3*x**4/8 + x**3 - x**2/2 - 6. Let c(m) be the second derivative of v(m). Factor c(y).
-3*(y - 1)*(y + 1)**2*(y + 2)
Let c be (14/4)/((-2)/((-16)/12)). Find p such that c*p + 2/3 + 5/3*p**2 = 0.
-1, -2/5
Let r(m) be the third derivative of m**8/20160 + m**7/5040 + m**5/30 - 5*m**2. Let p(k) be the third derivative of r(k). Factor p(h).
h*(h + 1)
Let k = 1400 - 714. Determine w so that -756*w**2 - 184*w - 2 - 14 - 1274*w**3 - k*w**4 + 0 = 0.
-1, -2/7
Let r(h) = 3*h - 11. Let m be r(-9). Let k = 344/9 + m. Let -4/9*n**2 + k*n**3 + 4/9 - 2/9*n = 0. Calculate n.
-1, 1, 2
Let b(u) = -u**2 + 10*u - 21. Let q be b(7). Determine o, given that 0*o**4 + 0 - 6/11*o**3 + q*o - 4/11*o**2 + 2/11*o**5 = 0.
-1, 0, 2
Let n = -2 + 6. Let w(l) be the first derivative of -1/8*l**2 - 1/6*l**3 + 1 + 0*l - 1/16*l**n. Factor w(d).
-d*(d + 1)**2/4
Let w(g) be the second derivative of -g**7/840 + g**5/120 - g**3/24 + g**2/2 + g. Let b(c) be the first derivative of w(c). Factor b(p).
-(p - 1)**2*(p + 1)**2/4
Let j be (352/60)/8 + 3/5. Let 2/3 - p**3 + 1/3*p - j*p**2 = 0. Calculate p.
-1, 2/3
Let f(b) be the first derivative of b**4/4 - 4*b**3/3 + 5*b**2/2 - 2*b + 21. Find j such that f(j) = 0.
1, 2
Let y(o) = -o**4 - 5*o**2 - 5*o - 5. Let d(p) = 4*p**2 + 6 - 2 + 4*p + 0 + p**4 + 0*p. Let m(w) = -5*d(w) - 4*y(w). Solve m(s) = 0 for s.
0
Let i(u) be the second derivative of u + 0*u**3 + 0 - 1/3*u**2 + 1/18*u**4. Factor i(t).
2*(t - 1)*(t + 1)/3
Let r = 1176 - 3497/3. Let w = r - 10. Determine c so that -w*c**3 + 0 + 1/3*c**2 - 1/3*c**4 + 1/3*c = 0.
-1, 0, 1
Let m(l) = l**5 - 3*l**4 + 6*l**3 + 2*l + 2. Let u(w) = -w**5 + 3*w**4 - 8*w**3 - 3*w