 + 0 - 2*t**2 - j*t - t**q.
-t*(t + 1)**3*(3*t + 1)/3
Let b(a) = 11*a - 1. Let g be b(-1). Let k be 4/(g/(-9)) + 0. Find n, given that -1/2*n - 1/2*n**2 + 0 + 1/2*n**4 + 1/2*n**k = 0.
-1, 0, 1
Let o(z) be the first derivative of -3*z**4/16 - z**3/2 - 3*z**2/8 + 3. Factor o(y).
-3*y*(y + 1)**2/4
Let f(t) be the third derivative of 1/60*t**5 + 0*t**3 + 4*t**2 + 1/120*t**6 + 0*t**4 + 0 + 0*t. Determine v, given that f(v) = 0.
-1, 0
Suppose f - 8 + 0 = 0. Let v = f + -6. Determine l so that -l**2 + 0*l**v + 2*l - 1 - 4*l = 0.
-1
Let w(r) be the first derivative of 3*r**2 + 2 - 4*r**3 + 3*r**3 + 0 - 3*r + 2. Factor w(v).
-3*(v - 1)**2
Let q be (-6)/10 - (-51)/85. Factor 16/3*k**2 + 8*k**3 + 0*k + q + 2/3*k**5 + 4*k**4.
2*k**2*(k + 2)**3/3
Let b = -74 - -42. Let j = -63/2 - b. Factor 0*p**2 - 1/2 + j*p**4 + p**3 - p.
(p - 1)*(p + 1)**3/2
Suppose -19 = j - 21. Factor 0 - 3/5*a**4 + 0*a**3 + 0*a + 3/5*a**j.
-3*a**2*(a - 1)*(a + 1)/5
Let m(r) = 2*r**4 - 3*r**3 + 5. Let k(i) = i**4 - 2*i**3 + 2. Let y(w) = 5*k(w) - 2*m(w). Factor y(s).
s**3*(s - 4)
Let y(h) be the third derivative of h**7/4200 - h**5/200 - h**4/8 + 8*h**2. Let k(r) be the second derivative of y(r). Factor k(b).
3*(b - 1)*(b + 1)/5
Suppose 4*k - 2*k = 0. Let v(w) be the first derivative of 0*w - 2/5*w**5 + 2 + k*w**2 + 0*w**4 + 0*w**3 + 1/6*w**6. Suppose v(y) = 0. What is y?
0, 2
Let v(r) be the third derivative of -r**7/10080 - r**6/2880 + 5*r**4/12 + 2*r**2. Let b(o) be the second derivative of v(o). Factor b(k).
-k*(k + 1)/4
Let a(g) be the second derivative of 0*g**2 - 1/30*g**4 + 0 - 1/75*g**6 - g + 0*g**3 + 1/25*g**5. Suppose a(k) = 0. Calculate k.
0, 1
Let h(k) be the third derivative of -k**6/320 - 9*k**5/160 - 15*k**4/64 + 25*k**3/16 + 31*k**2. Determine y, given that h(y) = 0.
-5, 1
Suppose 2*r - 12 = -2*r. Solve b - 5 + 4*b + 15*b**3 - 20*b - r*b**2 + 8 = 0 for b.
-1, 1/5, 1
Let r(j) be the first derivative of -1/6*j**4 - 2/27*j**3 + 0*j + 4 - 2/15*j**5 + 0*j**2 - 1/27*j**6. Solve r(p) = 0.
-1, 0
Let f(g) be the third derivative of -1/15*g**3 + 0*g - 1/50*g**6 - 4/75*g**5 + 0 + 3/175*g**7 + 1/10*g**4 - 3*g**2. Solve f(r) = 0.
-1, 1/3, 1
Suppose -7 = -3*g + d, -4*g + 1 = -2*g + 3*d. Factor 4/5*h + 1/5*h**g + 3/5.
(h + 1)*(h + 3)/5
Let d(f) be the first derivative of -f**8/3360 + f**7/1680 + f**6/720 - f**5/240 - f**3 - 4. Let w(x) be the third derivative of d(x). What is t in w(t) = 0?
-1, 0, 1
Let k(x) be the second derivative of x**8/3360 - x**7/1260 + x**4/6 + 2*x. Let d(p) be the third derivative of k(p). Factor d(h).
2*h**2*(h - 1)
Let o(u) = 4*u**3 + 12*u**2 + 8*u. Let b(c) = 2*c**3 + 6*c**2 + 4*c. Let h(n) = 5*b(n) - 2*o(n). Solve h(g) = 0 for g.
-2, -1, 0
Let z(d) = 14*d**3 + 675*d**2 + 6064*d + 18214. Let h(x) = -3*x**3 - 135*x**2 - 1213*x - 3643. Let j(w) = 11*h(w) + 2*z(w). Factor j(t).
-5*(t + 9)**3
Suppose -6*y = y - 21. Factor 3/4*t**y + 0*t**2 - 9/4*t + 3/2.
3*(t - 1)**2*(t + 2)/4
Let c(w) = -w**3 + 6*w**2 - 8. Let t be c(6). Let u be t/(-28) - 2/56. Factor -m + u*m**2 + 1.
(m - 2)**2/4
Let q be ((-4)/(-2) + -1)/1. Suppose -3*f = -7 + q. Factor -f*j**2 - 3*j - 5*j - 2 + 4*j.
-2*(j + 1)**2
Let s(g) = -3*g**3 + 3*g**2 + 3*g. Let r(y) = 3*y**3 - 4*y**2 - 4*y. Suppose 4*q - 2 = -14. Let h(b) = q*r(b) - 4*s(b). Suppose h(u) = 0. Calculate u.
0
Let m(l) be the second derivative of -l**7/735 + l**6/140 - l**5/70 + l**4/84 + l**2/2 - l. Let u(h) be the first derivative of m(h). Factor u(x).
-2*x*(x - 1)**3/7
Suppose 0 = -4*s - 5*f - 19 - 21, -3*f = 0. Let l be (-4)/10 + (-4)/s. Let 0*u + l + 2/5*u**3 - 2/5*u**2 = 0. What is u?
0, 1
Let j(r) be the third derivative of r**7/3465 + r**6/3960 + r**4/24 + 5*r**2. Let i(n) be the second derivative of j(n). Let i(l) = 0. Calculate l.
-1/4, 0
Let z = 121 + -86. Let i be (-10)/z + (-45)/(-84). Factor 0 + i*r**3 - 1/4*r + 1/4*r**2 - 1/4*r**4.
-r*(r - 1)**2*(r + 1)/4
Suppose 0 = -2*q + 4*q - 4. Suppose -2*v = -10, 5*x - 4*v = -9*v + 45. What is w in 1/5*w - w**3 - 3/5*w**q + 1/5 - 2/5*w**x = 0?
-1, 1/2
Let y(x) be the third derivative of -x**6/75 - 7*x**5/150 - x**4/30 + x**3/15 + 5*x**2. Suppose y(n) = 0. What is n?
-1, 1/4
Let g(s) be the first derivative of -12/7*s**5 - 40/21*s**3 + 0*s - 37/14*s**4 - 4/7*s**2 - 3/7*s**6 + 1. Factor g(c).
-2*c*(c + 1)**2*(3*c + 2)**2/7
Let z(l) be the second derivative of 3*l**7/14 + 7*l**6/10 - 9*l**5/20 - 11*l**4/4 + 6*l**2 - 12*l. Determine h so that z(h) = 0.
-2, -1, 2/3, 1
Let d(m) be the third derivative of m**8/84 - 2*m**7/147 - m**6/105 - 14*m**2. Factor d(y).
4*y**3*(y - 1)*(7*y + 2)/7
Let w(z) be the third derivative of z**9/514080 + z**8/85680 + z**5/30 + 5*z**2. Let q(x) be the third derivative of w(x). Factor q(d).
2*d**2*(d + 2)/17
Suppose -4*s - 20 = -3*l + s, 2*l = -5*s - 20. Let k(q) be the first derivative of 0*q - 4/15*q**3 - 1 - 1/5*q**2 + 1/15*q**6 + 4/25*q**5 + l*q**4. Factor k(j).
2*j*(j - 1)*(j + 1)**3/5
Let i(s) = s**2 - 2*s - 23. Let l be i(-4). Factor -5/2*y**2 + l - 3/2*y.
-(y + 1)*(5*y - 2)/2
Let o(l) = l**3 + 5*l**2 + 2*l + 4. Let f be o(-4). Let x be 0*2*(-3)/f. Suppose -1/3*n**2 + x - 2/3*n + 1/3*n**3 = 0. Calculate n.
-1, 0, 2
Suppose 0*t + 6*t = 18. Let p = -1/13 - -17/52. Factor 1/4*v**t - 1/4*v + p - 1/4*v**2.
(v - 1)**2*(v + 1)/4
Let v(o) be the second derivative of o**6/10 - 3*o**5/20 - o**4 + 2*o**3 + 43*o. Find h, given that v(h) = 0.
-2, 0, 1, 2
Let n be (-3)/(-5)*(-4)/3. Let g = n - -7/5. Factor g*a**2 - 1/5*a - 2/5*a**3 + 0.
-a*(a - 1)*(2*a - 1)/5
Let l(k) be the second derivative of k**4/12 - k**3/2 + k**2 + 4*k. Factor l(i).
(i - 2)*(i - 1)
Let v(j) be the third derivative of -j**8/252 + 5*j**7/189 - 2*j**6/27 + j**5/9 - 5*j**4/54 + j**3/27 - 25*j**2. Find a, given that v(a) = 0.
1/6, 1
Let m be (-2)/4 - (-27)/6. Determine t so that -2 - 6*t**2 + 3*t**m - 5 + 10 = 0.
-1, 1
Suppose -3*v + 21*z = 18*z - 15, 0 = -3*v + z + 9. Factor 9/4*a**v - 3/4*a - 5/4*a**3 - 1/4.
-(a - 1)**2*(5*a + 1)/4
Let f = 63 - 60. Factor 1/2*d**4 - 1/2*d**2 + d - d**f + 0.
d*(d - 2)*(d - 1)*(d + 1)/2
Suppose -74*y + 36 = -112. Factor -y + b**2 - 7/3*b.
(b - 3)*(3*b + 2)/3
Suppose 33*l - 29 - 2*l**2 + 2*l + 5*l - 171 = 0. What is l?
10
Let k(f) be the first derivative of -3*f**4/10 - 2*f**3/3 - f**2/5 + 2*f/5 - 1. What is i in k(i) = 0?
-1, 1/3
Find n, given that -1 - 1/3*n + n**2 + 1/3*n**3 = 0.
-3, -1, 1
Let c be -3 - 3/6*-10. Let b be ((-6)/5)/((-4)/10). Solve -3*d**2 + 3*d**b + d - 2*d**3 + d**c = 0 for d.
0, 1
Let c(b) be the second derivative of 1/24*b**4 - 3*b + 0*b**6 + 0 + 0*b**3 + 0*b**2 + 1/168*b**7 - 3/80*b**5. Suppose c(z) = 0. What is z?
-2, 0, 1
Factor 1/10*s**5 + 1/5 - 2/5*s**3 + 3/10*s - 1/5*s**2 + 0*s**4.
(s - 2)*(s - 1)*(s + 1)**3/10
Let m be 31/(-10)*-1 + (-3)/1. Let f(b) be the second derivative of -1/10*b**4 + 4*b + 3/100*b**5 + 0*b**2 + m*b**3 + 0. Factor f(i).
3*i*(i - 1)**2/5
Let q = 11 - 6. Suppose -6*a + 5 = -a - q*i, 3*i + 3 = a. Factor 0 - 2/5*h**2 - 6/5*h**3 + a*h - 4/5*h**4.
-2*h**2*(h + 1)*(2*h + 1)/5
Let d(j) = -15*j**3 + j**2 + 2*j + 1. Let a be d(-1). Let s = a - 7. Factor -2 - s*y**2 + 0*y**2 + 10*y + 0*y.
-2*(y - 1)*(4*y - 1)
Let s(o) be the third derivative of o**7/35 - o**6/30 - o**5/30 - 5*o**2. Factor s(r).
2*r**2*(r - 1)*(3*r + 1)
Solve 2/5*w**3 + 0*w**2 + 0 - 2/5*w**4 + 0*w = 0 for w.
0, 1
Let y = -1 + 1. Let p be y - (3 - 124/36). Find c, given that 4/9*c**2 - 2/9*c + 0 - p*c**4 + 2/9*c**5 + 0*c**3 = 0.
-1, 0, 1
Let j(z) = -6*z - 1 - z**2 + 0*z**2 + 6*z. Let t(x) = 4*x - 2. Let u(c) = -2*j(c) + t(c). Factor u(y).
2*y*(y + 2)
Let h be 3*(-4 + 3)/(-18). Factor 1/2*r**2 - 1/2*r**3 + 0 + h*r**4 - 1/6*r.
r*(r - 1)**3/6
Let c(g) be the second derivative of -g**4/54 - 4*g. Factor c(h).
-2*h**2/9
Let d(q) be the first derivative of -q**5/90 - q**4/6 - q**3 - 2*q**2 + 4. Let i(m) be the second derivative of d(m). Let i(v) = 0. What is v?
-3
Suppose 0*w + 4*w - p - 5 = 0, 0 = -2*w + 4*p - 8. Let -1/2 + 5/2*d - 2*d**w = 0. Calculate d.
1/4, 1
Let r(q) be the second derivative of 1/15*q**6 + 1/3*q**3 + 0 - 6*q + 0*q**2 + 3/10*q**5 + 1/2*q**4. Suppose r(t) = 0. Calculate t.
-1, 0
Let z be ((-5)/(-3) - 2)/((-2)/36). Let h(u) be the third derivative of 0*u**4 - 2*u**2 - 1/21*u**3 + 0 + 1/105*u**5 + 0*u**z - 1/735*u**7 + 0*u. Factor h(f).
-2*(f -