r 128/9 + 8/3*g**2 - 2/9*g**3 - 32/3*g.
-2*(g - 4)**3/9
Let k(p) = -p**2 - p. Let z be (-4)/(-8)*4/2. Let c(s) = -5*s**2 + 5*s - 8. Let m(y) = z*c(y) - 3*k(y). Factor m(u).
-2*(u - 2)**2
Let v be (0 + 10/(-12))*(-24)/60. Find j such that 1/3*j**3 + j**2 + j + v = 0.
-1
Let x(h) = 3*h**3 - 6*h**2 + h. Let n be x(2). What is m in 0 - 3/2*m**5 + 0*m - 3/2*m**n + 3/2*m**3 + 3/2*m**4 = 0?
-1, 0, 1
Let w be (-2 + (-10)/2 + 6)*-3. Suppose 10/13*h**2 + 0 - 8/13*h**w + 2/13*h**4 - 4/13*h = 0. What is h?
0, 1, 2
Let p(w) be the second derivative of w**4/60 - w**2/10 + 4*w. What is c in p(c) = 0?
-1, 1
Suppose y = 4 - 0. Suppose -3*f**y - 6*f**3 + 21*f**2 - 8*f**2 - 13*f**2 = 0. What is f?
-2, 0
Let x = 1/338 - -253/169. Determine z, given that 3/2*z**4 + 0*z + 1/2*z**5 + 1/2*z**2 + x*z**3 + 0 = 0.
-1, 0
Let b(h) be the first derivative of 3 - 2/15*h**3 + 0*h**2 - 1/10*h**4 + 0*h. What is v in b(v) = 0?
-1, 0
Factor 2/3 - 2/15*o**2 - 8/15*o.
-2*(o - 1)*(o + 5)/15
Let q(t) be the third derivative of -1/12*t**4 + 0*t**3 + 0*t - 1/60*t**6 + 0 - 2*t**2 - 1/15*t**5. Let q(z) = 0. Calculate z.
-1, 0
Let f = -159 - -159. Let k(d) be the second derivative of 0*d**3 - 1/2*d**2 + 1/12*d**4 - 4*d + f. Factor k(o).
(o - 1)*(o + 1)
Let w(v) = v**3 - 4*v**2 + 3*v + 4. Let z(y) = y**3 - 5*y**2 + 4*y + 5. Let o be 5*(1 - 2)/(-1). Suppose -d + o*d = 20. Let p(x) = d*w(x) - 4*z(x). Factor p(n).
n*(n - 1)*(n + 1)
Let w(c) be the first derivative of -c**4/4 - 22*c**3/3 - 121*c**2/2 - 18. Factor w(s).
-s*(s + 11)**2
Let u(d) = 5*d**3 + 6*d**2 - 2. Let g(v) = 16*v**3 + 18*v**2 - 7. Let l(s) = 2*g(s) - 7*u(s). Solve l(k) = 0 for k.
-2, 0
Let r = 151 + -149. Factor -3/2*j**4 - 3*j**r + 1/2 + 0*j - 4*j**3.
-(j + 1)**3*(3*j - 1)/2
Let t be (-1)/(-3)*27/3. Factor -8*j**3 - j - 1 - 6*j**t + 4*j**4 + 3*j**3 + 0 + 9*j**2.
(j - 1)**3*(4*j + 1)
Factor -2*c**2 - 8*c**3 + 5*c**4 - 7*c**4 - 2*c**2 + 2*c**3.
-2*c**2*(c + 1)*(c + 2)
Let z(r) be the third derivative of -r**7/105 + r**6/12 + r**5/30 - 5*r**4/12 - 40*r**2. Find w, given that z(w) = 0.
-1, 0, 1, 5
Factor -15*v + 0 - 3*v**3 - 6 + 2*v**2 - 14*v**2.
-3*(v + 1)**2*(v + 2)
Suppose 2*g = -3*g + 20. Suppose 2*z - z - g*q = -8, 2*z - q + 2 = 0. Factor 0*d + z - 2/5*d**5 - 6/5*d**3 + 2/5*d**2 + 6/5*d**4.
-2*d**2*(d - 1)**3/5
Let l(q) = q**2 - 8*q + 7. Let b(i) = -7*i**3 - i**2 - i. Let k be b(-1). Let f be l(k). Suppose 4 - n**2 - 5 + f*n + 2*n = 0. Calculate n.
1
Let p(o) = o**3 + 5*o**2 + 4*o + 5. Let k be p(-4). Let v be (k + -6)/(2/(-6)). Factor 0*m + 0 + 3/2*m**4 - 1/2*m**5 + 1/2*m**2 - 3/2*m**v.
-m**2*(m - 1)**3/2
Let s be -3 + 1 + 3 - 1. Let p(n) be the second derivative of 1/24*n**4 + 0*n**2 + s - 2*n + 1/6*n**3. What is b in p(b) = 0?
-2, 0
Let u(m) be the third derivative of m**5/15 + m**4/2 + 4*m**3/3 - 13*m**2. Solve u(h) = 0.
-2, -1
Let y be (15/1470)/(1/4). Let l = 37/294 + y. Factor l*r**3 + 0*r + 1/6*r**2 + 0.
r**2*(r + 1)/6
Let u be (-1)/(1/1)*-5. Let k(b) = 3*b**2 - 3. Let s(n) be the first derivative of -2*n**3/3 + 2*n + 2. Let d(f) = u*s(f) + 3*k(f). Factor d(v).
-(v - 1)*(v + 1)
Let x be 1 - 2 - (-70)/42. Let -1/3 - 1/3*a**2 + x*a = 0. Calculate a.
1
Factor 0 - 2/3*i**2 + 2/3*i.
-2*i*(i - 1)/3
Let p = -65 - -327/5. Suppose 2*h = -a + 4, 0 = -2*h + 5*h. Suppose 2/5*t**5 + 4/5*t**2 + p*t - 2/5*t**a - 4/5*t**3 - 2/5 = 0. Calculate t.
-1, 1
Let d be (-7 - -9)/((-2)/(-3)). Determine k, given that -2*k**5 - 8/5*k**d + 18/5*k + 4/5 + 4*k**2 - 24/5*k**4 = 0.
-1, -2/5, 1
Solve -2/9*f**3 - 98/3*f - 14/3*f**2 - 686/9 = 0 for f.
-7
Solve -3 - 30*l**2 - 25*l**4 - 30*l**3 - 15*l + 2*l**5 - 5*l**5 + 10*l**4 = 0.
-1
Factor 2/13*m**2 - 4/13 - 2/13*m.
2*(m - 2)*(m + 1)/13
Let q be 1 + -2 + (3 - -1). Let g be 4 + -1*33/9. Factor 0 + 1/3*w**q - 2/3*w**2 + g*w.
w*(w - 1)**2/3
Let f(b) = -4*b - 9. Let m(p) = -5*p - 10. Let i(k) = -6*f(k) + 5*m(k). Let n be i(-6). Factor -r - 9*r**3 + r**2 + 2*r - 3*r**4 - n*r**2 - 4*r.
-3*r*(r + 1)**3
Suppose 3*g + 28 = -5*k, g + 3 = -k - 5. Let o = -4 - g. Suppose 54 - 2*b**3 - 54*b - o*b**3 + 18*b**2 + 2*b**3 = 0. Calculate b.
3
Suppose 12 = 11*v - 9*v. Let a(m) be the first derivative of 1 - 80/3*m**3 + 84/5*m**5 - 17*m**2 + 9*m**v - 4*m - 5*m**4. Suppose a(o) = 0. What is o?
-1, -1/3, -2/9, 1
Let t(v) be the second derivative of v**8/2240 - v**7/1120 - 2*v**3/3 - 3*v. Let h(y) be the second derivative of t(y). Factor h(z).
3*z**3*(z - 1)/4
Let v be -17*((-34)/36 - -1). Let z = -4/9 - v. Suppose 0*x + 0*x**3 + 0*x**2 + 0 + z*x**4 - 1/2*x**5 = 0. What is x?
0, 1
Let g(t) be the third derivative of 0*t**3 + 0*t - 1/140*t**6 - 2*t**2 + 0 - 1/1176*t**8 + 0*t**4 - 1/210*t**5 - 1/245*t**7. Determine s, given that g(s) = 0.
-1, 0
Let n(c) = 5*c**2 - 2*c + 6. Let f(g) = -g**2 - g - 1. Let p(d) = 6*f(d) + 2*n(d). Determine y, given that p(y) = 0.
1, 3/2
Let d(h) be the first derivative of -h**4/7 + 4*h**3/7 - 16*h/7 - 36. Find q, given that d(q) = 0.
-1, 2
Let g = -5/68 - -83/204. What is d in -2/3*d**4 - 4*d**2 + 17/6*d**3 - g + 13/6*d = 0?
1/4, 1, 2
Determine j so that 20*j**4 + 86*j**2 - 10*j**3 + 12*j - 142*j**2 - 4*j**5 + 36 + 2*j**3 = 0.
-1, 1, 3
Let x(d) be the third derivative of 4/105*d**7 + 0*d**3 + 3*d**2 - 1/12*d**6 + 1/15*d**5 + 0*d - 1/168*d**8 + 0*d**4 + 0. Factor x(c).
-2*c**2*(c - 2)*(c - 1)**2
Factor 4/7*n + 16/7 - 2/7*n**2.
-2*(n - 4)*(n + 2)/7
Let j be 3/5 + 2/10. Factor -j*c + 2/5*c**4 + 6/5 + 4/5*c**3 - 8/5*c**2.
2*(c - 1)**2*(c + 1)*(c + 3)/5
Let t(u) be the second derivative of 2*u**2 - u**3 + 0 - 4*u - 1/3*u**4 + 3/10*u**5. Factor t(s).
2*(s - 1)*(s + 1)*(3*s - 2)
Let g be 108/(-10) - 3/15. Let r(y) = y**3 + 10*y**2 - 10*y + 15. Let n be r(g). Factor 0 + 1/2*w**3 + 1/2*w**2 - 1/2*w**n - 1/2*w.
-w*(w - 1)**2*(w + 1)/2
Let y(c) be the first derivative of -3/10*c**2 + 3/20*c**4 + 3/25*c**5 + 0*c + 4 - 1/5*c**3. Factor y(a).
3*a*(a - 1)*(a + 1)**2/5
Factor 6/5 - 6/5*q**3 + 26/5*q**2 - 26/5*q.
-2*(q - 3)*(q - 1)*(3*q - 1)/5
Let q(a) be the first derivative of -2*a**6/3 + 4*a**5 - 10*a**4 + 40*a**3/3 - 10*a**2 + 4*a + 4. Factor q(j).
-4*(j - 1)**5
Let w be (-78)/270 + 4/10. Let z(i) be the first derivative of -2 - w*i**3 - 1/6*i**2 + 0*i + 1/12*i**4 + 1/15*i**5. Factor z(s).
s*(s - 1)*(s + 1)**2/3
Let w be 12/54 - (-1144)/(-45). Let l = w + 26. Factor 18/5*t + l + 14/5*t**2.
2*(t + 1)*(7*t + 2)/5
Let -108 - 39*q**2 - 148*q + 30*q**3 + 12*q**4 - 32*q + 5*q**4 - 20*q**4 = 0. What is q?
-1, 6
Let n(a) be the first derivative of -a**6/6 - 2*a**5/5 + 2*a**3/3 + a**2/2 - 5. Factor n(d).
-d*(d - 1)*(d + 1)**3
Let t(q) be the third derivative of -q**7/14 - q**6/12 + q**5/3 + 5*q**4/12 - 5*q**3/6 - 13*q**2. Solve t(c) = 0.
-1, 1/3, 1
Let h(b) be the third derivative of 2/15*b**5 + 5*b**2 - 1/50*b**6 + 0*b + 4/15*b**3 - 3/10*b**4 + 0. Factor h(x).
-4*(x - 2)*(x - 1)*(3*x - 1)/5
Suppose -4*j - 177 - 223 = 0. Let h be j/(-6) - (-1)/(-3). Let 17/3*b**3 + 32/3*b + 77/3*b**4 - 73/3*b**2 - 4/3 - h*b**5 = 0. What is b?
-1, 2/7, 1
Let c be -8*(0 + 27/(-6)). Let l be 44/126 + c/162. Factor -2/7*r + 2/7*r**3 - 4/7*r**2 + l.
2*(r - 2)*(r - 1)*(r + 1)/7
Let c(i) be the second derivative of -i**5/4 + 65*i**4/12 - 115*i**3/6 + 55*i**2/2 + 37*i. Suppose c(t) = 0. What is t?
1, 11
Let w = -8 + 9. Determine y, given that -w + 1 - y**3 + 9*y - 10*y + 2*y**2 = 0.
0, 1
Suppose 4*u = -2 + 10. Suppose 3*l - 21 = -3*k, -5*l + 4 = -u*k - l. Solve i**2 - 2*i**3 + 4*i**3 + i - k*i**3 = 0 for i.
-1/2, 0, 1
Let t(b) be the first derivative of b**4/3 + 4*b**3 + 18*b**2 - 9*b + 5. Let w(l) be the first derivative of t(l). Solve w(q) = 0.
-3
Let y(z) be the second derivative of 7/40*z**5 + 1/4*z**3 - 1/2*z**4 + z + 0 + 1/2*z**2. Factor y(x).
(x - 1)**2*(7*x + 2)/2
Suppose -2*x - 1 + 11 = 0. Let m be -9*-1*(-3)/(-9). Factor 8*v + 0*v + x*v**2 - 2*v**m + 3*v**3 + 4.
(v + 1)*(v + 2)**2
Let i(h) = -h - 3. Let w be i(-6). Let g = -8 - -15. Factor 3*y**3 + 2*y**5 + g*y**w + y**2 + 3*y**2 + 8*y**4.
2*y**2*(y + 1)**2*(y + 2)
Suppose -6 + 1 = -r. Let t(h) be the first derivative of 1/7*h**4 + 2/7*h + 0*h**3 + 1 - 2/7*h**2 - 2/35*h**r. Solve t(g) = 0.
-1, 1
Let j(u) be the second derivative of -u**7/1260 - u**6/180 - u**4/12 - 2*u. Let b(r) be the third derivative of j(r). Let b(p) = 0. Calculate p.
-2, 0
Let g(z) be the first derivativ