t g(w) = 0.
0, 2
Let n be -1 - ((-1878)/385 + 2). Let t = n - 6/77. Let -6/5*o + 0 + 3*o**2 - t*o**3 = 0. Calculate o.
0, 2/3, 1
Suppose -40 = o - 6*o. Let c be 2/(4*2/16). Factor -1 - j**c + 3*j**3 + j**3 - 6*j**2 + o*j - 4*j.
-(j - 1)**4
Factor 0*p + 0 - 2/3*p**3 + 2/3*p**4 - 2/9*p**5 + 2/9*p**2.
-2*p**2*(p - 1)**3/9
Let a = 19 - 17. Suppose 1/2 + 7/2*c**4 - 4*c**a - c + 2*c**5 - c**3 = 0. Calculate c.
-1, 1/4, 1
Suppose -1/8*z - 1/4 + 3/8*z**2 - 1/8*z**4 + 1/8*z**3 = 0. Calculate z.
-1, 1, 2
Let d(x) be the third derivative of -x**6/72 - x**5/15 - x**4/8 + 2*x**3/3 + x**2. Let o(y) be the first derivative of d(y). Solve o(n) = 0 for n.
-1, -3/5
Suppose o - 2*o = 21. Let s = -13 - o. Factor 2*u**5 + u**3 + 2*u + 8*u**4 + s*u**2 + 11*u**3 + 0*u.
2*u*(u + 1)**4
Let g = 119/171 + -9/19. Let d(h) be the second derivative of -1/18*h**4 + g*h**3 - 1/3*h**2 + 0 + 4*h. Factor d(f).
-2*(f - 1)**2/3
Let f = 258 + -255. Solve 0 + 1/3*n - 2/3*n**2 + 1/3*n**f = 0 for n.
0, 1
Suppose 2*q + 5 = 3*q. Suppose 12 = q*c - c. Factor -r**2 + 0*r + 4*r - 2*r**3 + c*r**2.
-2*r*(r - 2)*(r + 1)
Find v such that 1/2*v**4 + 3/2*v**3 + 0 + 0*v + v**2 = 0.
-2, -1, 0
Let g(c) = -c**5 - c**3 + c**2 - c. Let b(p) = -10*p**5 - 30*p**4 - 70*p**3 - 55*p**2 - 25*p. Let u(h) = b(h) - 5*g(h). Find a such that u(a) = 0.
-2, -1, 0
Factor 2/5*a - 1/5*a**2 + 0 - 19/5*a**4 - 7/5*a**5 - 3*a**3.
-a*(a + 1)**3*(7*a - 2)/5
Let b(q) be the third derivative of -q**8/168 - q**7/35 - q**6/60 + q**5/10 + q**4/6 + 36*q**2. Determine t, given that b(t) = 0.
-2, -1, 0, 1
Let q(b) be the second derivative of b**2 + 0*b**5 + 0 + 1/315*b**7 + 0*b**3 - 1/180*b**6 + 0*b**4 + b. Let n(g) be the first derivative of q(g). Factor n(o).
2*o**3*(o - 1)/3
Determine c so that 3/4*c**2 + 0*c**3 - 1/4*c**4 + 0 + 1/2*c = 0.
-1, 0, 2
Let j(d) be the third derivative of -d**6/960 + d**5/240 + 7*d**4/192 + d**3/12 - 8*d**2. Let j(k) = 0. Calculate k.
-1, 4
Factor -1/9*w**2 - 5/9*w**3 - 1/9*w**4 + 2 + 7/3*w.
-(w - 2)*(w + 1)*(w + 3)**2/9
Let j be (-52)/(-80) - (-6)/(-24). Factor 11/5*u**2 + j*u + 0.
u*(11*u + 2)/5
Suppose 4*u = p + 17, -5 = -3*p + 4*p. Let n(c) be the third derivative of -4/9*c**3 + u*c**2 + 1/3*c**4 - 1/18*c**5 + 0 + 0*c. Factor n(y).
-2*(y - 2)*(5*y - 2)/3
Let l(u) = 5*u + 1. Let s be l(1). Find i such that s*i + 10*i**4 - i**2 - 8*i**4 - 6*i**3 - 4 + 3*i**2 = 0.
-1, 1, 2
Suppose -23 - 13 - 60*y - 5*y**3 - 4 - 30*y**2 = 0. What is y?
-2
Let r(g) be the second derivative of 5*g**7/42 - g**6/6 - 13*g. Suppose r(o) = 0. What is o?
0, 1
Let r(d) be the third derivative of d**7/42 - d**6/24 - d**5/12 + 5*d**4/24 - 52*d**2. Factor r(n).
5*n*(n - 1)**2*(n + 1)
Let d(a) = 13*a + 132. Let l be d(-10). Factor -2/3 - 2*r**2 + 2/3*r**3 + l*r.
2*(r - 1)**3/3
Let p(x) = -5*x**2 - 4*x + 1. Suppose 0*o = -2*o + 14. Let s(h) = -6*h**2 - 5*h + 1. Let r(b) = o*p(b) - 6*s(b). Let r(m) = 0. Calculate m.
-1
Let u = -113 - -71. Let k = 127/3 + u. Factor -1/3*q**2 - 1/3*q + k*q**3 + 1/3.
(q - 1)**2*(q + 1)/3
Let k(f) = -f**2 - f - 1. Let q(h) = -4*h**2 - 16*h - 7. Let r = 3 + -1. Let n(m) = -m**3 - 3*m**2 + m. Let a be n(r). Let t(g) = a*k(g) + 2*q(g). Factor t(o).
2*(o - 1)*(5*o - 2)
Let m = 4/29 + -27/406. Let g(v) be the second derivative of 3*v - m*v**4 + 0 - 2/21*v**3 + 0*v**2 + 1/14*v**5. Suppose g(r) = 0. Calculate r.
-2/5, 0, 1
Let i(z) be the first derivative of z**5/15 + z**4/2 + 13*z**3/9 + 2*z**2 + 4*z/3 - 11. Factor i(n).
(n + 1)**2*(n + 2)**2/3
Factor 1/3*b**3 - 1/3*b + 0*b**2 + 0.
b*(b - 1)*(b + 1)/3
Let j(d) = -19*d**5 - 9*d**4 + 11*d**3 - 9*d**2 - d. Let i(t) = 9*t**5 + 4*t**4 - 6*t**3 + 4*t**2 + t. Let y(a) = -9*i(a) - 4*j(a). Factor y(k).
-5*k*(k - 1)**2*(k + 1)**2
Let 1/6*s**3 + 1/3 + 0*s**2 - 1/2*s = 0. What is s?
-2, 1
Let w(z) be the third derivative of -z**5/105 + 3*z**4/14 - 16*z**3/21 - 9*z**2. What is x in w(x) = 0?
1, 8
Let r(y) be the first derivative of y**3/2 + 3*y**2/4 - 3*y - 7. Factor r(o).
3*(o - 1)*(o + 2)/2
Let u(m) be the second derivative of m**6/90 - m**4/18 + m**2/6 + 2*m. Factor u(v).
(v - 1)**2*(v + 1)**2/3
Let m(u) be the first derivative of 3*u**3 + 9/4*u**4 + 5 + 0*u + 3/5*u**5 + 3/2*u**2. Factor m(l).
3*l*(l + 1)**3
Let m = -2 + 3. Let g(b) = -6 - m - 10 + 23*b**2. Let n(s) = 4*s**2 - 3. Let f(a) = 6*g(a) - 34*n(a). Factor f(x).
2*x**2
Let l = 1 + -1. Suppose 2*f + v = -l*f + 4, 5*v = -4*f + 8. Solve -4/5 + 1/5*z**3 + 3/5*z**f + 0*z = 0 for z.
-2, 1
Let d = 2233/18 - 124. Let h(b) be the third derivative of -2*b**2 + 0*b - 1/45*b**5 - 1/360*b**6 + 0*b**3 - d*b**4 + 0. Factor h(q).
-q*(q + 2)**2/3
Factor 0 + 2/7*t + 8/7*t**2.
2*t*(4*t + 1)/7
Let x(t) be the first derivative of -t**4/12 + 2*t**3/9 - 11. Factor x(z).
-z**2*(z - 2)/3
Let a = -97 + 99. Factor -1/2 + 1/2*i**5 + i**a - i**3 - 1/2*i**4 + 1/2*i.
(i - 1)**3*(i + 1)**2/2
Let x = 1910161/420 + -4548. Let u(n) be the third derivative of 0*n - x*n**7 - 1/672*n**8 + 1/120*n**5 + 0*n**3 - n**2 + 0 + 0*n**4 + 1/240*n**6. Factor u(s).
-s**2*(s - 1)*(s + 1)**2/2
Let a(j) = j**2 + j - 2. Let y be a(-3). Let g be y*(86/28 + -3). Determine m, given that -g*m**2 + 0 + 0*m = 0.
0
Let k(j) = 3*j**2 - j. Let l be k(-1). Let h(c) be the second derivative of 0 + 3*c - 1/20*c**l + 1/100*c**5 + 1/10*c**3 - 1/10*c**2. Factor h(s).
(s - 1)**3/5
Let j(k) be the second derivative of -k**6/60 + k**4/12 - k**2/4 + 6*k. Factor j(o).
-(o - 1)**2*(o + 1)**2/2
Let u(y) = y**2 - y - 1. Let f(o) = 2*o**3 - 2*o**2 + 2. Let j(s) = -f(s) - 2*u(s). Find v such that j(v) = 0.
-1, 0, 1
Let o(r) be the third derivative of r**7/1260 + r**4/12 - 3*r**2. Let s(p) be the second derivative of o(p). Factor s(k).
2*k**2
Let l(f) = -f**3 - 3*f**2 + f. Let v be l(-4). Let u = v + -12. Find g, given that -2/7*g**2 + u + 2/7*g**4 - 2/7*g + 2/7*g**3 = 0.
-1, 0, 1
Suppose -16 - 6 = -11*o. Let y(p) be the first derivative of 0*p**o + 2 + 0*p**3 - 1/15*p**5 + 1/12*p**4 + 0*p. Factor y(v).
-v**3*(v - 1)/3
Suppose 0 = 5*o - 3*r - 10 - 6, -2*r - 19 = -5*o. Suppose -5*n**2 - 5/2*n**4 - 5*n**3 - 1/2*n**o - 5/2*n - 1/2 = 0. Calculate n.
-1
Let n = 59 - 57. Let w(l) be the first derivative of 0*l - 4/21*l**3 + 4 - 1/7*l**n - 1/14*l**4. Factor w(t).
-2*t*(t + 1)**2/7
Let v(r) = r**2 + r. Let y be ((-3)/6)/(1/2). Let j(m) = 16*m**2 - 2*m. Let g(f) = y*j(f) + 2*v(f). Factor g(s).
-2*s*(7*s - 2)
Factor 0*w + 1/2*w**2 - 1/2.
(w - 1)*(w + 1)/2
Let o = -9/8 - -21/8. Let -1/2 - 1/2*q**3 - 3/2*q**2 - o*q = 0. Calculate q.
-1
Let x(c) be the first derivative of -2*c**5/105 - c**4/21 + 2*c**3/63 + 2*c**2/21 - 30. What is h in x(h) = 0?
-2, -1, 0, 1
Let i(a) be the third derivative of -2/15*a**5 - 1/240*a**8 - 1/8*a**4 + 0*a - 2*a**2 - 1/15*a**3 - 1/35*a**7 - 1/12*a**6 + 0. Let i(h) = 0. What is h?
-1, -2/7
Let a(v) be the third derivative of -v**8/252 - 8*v**7/315 - v**6/15 - 4*v**5/45 - v**4/18 + 4*v**2. Suppose a(y) = 0. Calculate y.
-1, 0
Let u(t) be the first derivative of -15*t**4/2 + 95*t**3/3 - 75*t**2/2 + 10*t - 43. Find y, given that u(y) = 0.
1/6, 1, 2
Let w(a) = -a**2 + 7*a + 10. Let t be w(8). Find m, given that 4*m**3 - 3*m**3 - 3 + 6*m - 7*m**3 + 3*m**t = 0.
-1, 1/2, 1
Factor -2/7 + 12/7*h - 18/7*h**2.
-2*(3*h - 1)**2/7
Let n(m) be the second derivative of 1/20*m**5 + 0 + 2*m + 3/4*m**4 + 27/2*m**2 + 9/2*m**3. Determine v so that n(v) = 0.
-3
Let v(b) be the second derivative of b**5/5 - 2*b**3/3 - 18*b. Factor v(u).
4*u*(u - 1)*(u + 1)
Factor 0 - 1/7*k**2 + 0*k.
-k**2/7
Determine m so that -2/5*m**2 + 0 - 2/5*m = 0.
-1, 0
Let f(h) be the second derivative of -h**4/66 + 2*h**3/33 + 3*h**2/11 - 18*h. Factor f(k).
-2*(k - 3)*(k + 1)/11
Determine k so that 10*k**3 + 4 + 41*k**3 - 15*k**3 - 20*k + 12*k**2 = 0.
-1, 1/3
Let m(z) be the first derivative of 1/60*z**5 - 4 + 0*z**2 + 0*z**4 - 3*z - 1/18*z**3. Let a(w) be the first derivative of m(w). Suppose a(l) = 0. What is l?
-1, 0, 1
Let g = -77/3 + 26. Factor -1/3*d**4 + g*d**5 - 1/3 - 2/3*d**3 + 2/3*d**2 + 1/3*d.
(d - 1)**3*(d + 1)**2/3
Suppose 2*t - 8 = 2*b, -2*b = t - 2*t + 8. Factor 2/3*d + 7/3*d**2 - 2/3*d**3 - 7/3*d**4 + t.
-d*(d - 1)*(d + 1)*(7*d + 2)/3
Let r = -64 - -68. Factor 0*c + 1/6*c**3 + 0 + 1/6*c**r - 1/6*c**5 - 1/6*c**2.
-c**2*(c - 1)**2*(c + 1)/6
Let r(x) = -26*x**3 + 41*x**2 + 26*x - 30. Let u(v) = 9*v**3