0 - g**5/40 - g**4/48 + 3*g**2/2 - 2. Let p(n) be the second derivative of l(n). Solve p(w) = 0 for w.
-1, 0
Let q be (-1 - -5) + 1 + 132/(-28). Suppose 2/7 - 2/7*s**3 + 2/7*s - q*s**2 = 0. Calculate s.
-1, 1
Let l be -15 + 13 + -1 + 3. Factor 0 - 4/7*c**4 + 2/7*c**2 + 2/7*c**3 + l*c.
-2*c**2*(c - 1)*(2*c + 1)/7
Let h(z) = -z**3 + 10*z**2 - 9*z + 3. Let q be h(9). Factor 2*t**2 + t**2 - 30*t**q + 31*t**3.
t**2*(t + 3)
Let v = 1079 - 1077. Let -1/5*s**v + 2/5 - 1/5*s = 0. Calculate s.
-2, 1
Factor 16/5 + 0*y**2 - 4/5*y**3 + 16/5*y - 1/5*y**4.
-(y - 2)*(y + 2)**3/5
Let w(j) = 4*j**5 - j**4 - 5*j**3 + 2*j**2 - 2*j - 4. Let r(z) = -9*z**5 + 2*z**4 + 11*z**3 - 4*z**2 + 5*z + 9. Let p(i) = 3*r(i) + 7*w(i). Factor p(k).
(k - 1)**3*(k + 1)**2
Let f = 10 - 8. Let d be (-2 - (0 + -2))/f. Factor -2/7*t**2 + 2/7*t**4 - 2/7*t**3 + 2/7*t**5 + d + 0*t.
2*t**2*(t - 1)*(t + 1)**2/7
Let s be (1 - -5)/((-3)/2). Let y be 19/15 - s/(-6). What is j in 3/5*j**3 - 1/5*j**4 - y*j**2 + 1/5*j + 0 = 0?
0, 1
Let w(l) be the third derivative of -l**8/4800 + l**7/1050 + l**6/900 - l**4/24 + 3*l**2. Let u(q) be the second derivative of w(q). Factor u(t).
-t*(t - 2)*(7*t + 2)/5
Suppose 8*p + 35 = 3*p. Let i(u) = u**2 + 8*u + 9. Let d be i(p). Suppose -d*r**3 - r**2 + r**3 + 0*r**3 + 0*r**2 = 0. What is r?
-1, 0
Let h(g) be the first derivative of -g**4/48 - g**3/24 - 2*g + 1. Let w(l) be the first derivative of h(l). Factor w(v).
-v*(v + 1)/4
Factor 2/9*z**2 + 2/9 + 4/9*z.
2*(z + 1)**2/9
Let q be 21/(-3)*1 + -3. Let h = q + 12. What is i in -1/5*i**4 - 2/5 - i**3 - 9/5*i**h - 7/5*i = 0?
-2, -1
Let p(b) be the first derivative of -16*b**5/15 + 19*b**4/3 - 76*b**3/9 - 4*b**2 + 7. Solve p(s) = 0 for s.
-1/4, 0, 2, 3
Let t(w) be the second derivative of -w**5/60 + w**4/18 + w**3/18 - w**2/3 + 5*w. Factor t(g).
-(g - 2)*(g - 1)*(g + 1)/3
Let y(b) be the third derivative of -b**8/588 + 2*b**7/245 - b**6/105 - 2*b**5/105 + b**4/14 - 2*b**3/21 + b**2. Factor y(f).
-4*(f - 1)**4*(f + 1)/7
Let w(c) be the third derivative of -c**6/540 + c**4/108 + 24*c**2. Factor w(s).
-2*s*(s - 1)*(s + 1)/9
Let h be 3/(42/4)*189/81. Find f, given that h*f**2 + 0 - 4/3*f = 0.
0, 2
Let g(m) = -m**3 + 10*m**2 + 14*m + 11. Let y be g(11). Let j = 133/3 - y. Suppose -4/3 - j*o**5 - 16/3*o - 7/3*o**4 - 25/3*o**2 - 19/3*o**3 = 0. Calculate o.
-2, -1
Let c = 15 - 15. Find w, given that -2/9*w + c - 4/9*w**5 + 2/9*w**2 - 2/9*w**4 + 2/3*w**3 = 0.
-1, 0, 1/2, 1
Suppose -2/11*f**3 + 0 + 0*f - 2/11*f**4 + 0*f**2 = 0. What is f?
-1, 0
Let m(h) be the second derivative of h - 1/21*h**3 + 0 - 4/21*h**4 - 8/35*h**5 + 0*h**2. Suppose m(s) = 0. Calculate s.
-1/4, 0
Suppose 3*v - 25 = 5*m - v, 0 = -3*m + 2*v - 15. Let r(o) = -o**2 - 7*o - 6. Let q be r(m). What is t in t**4 - 2*t**q - 2*t**5 + t**5 = 0?
-1, 0
Let h(q) be the second derivative of -q**5/2 - 2*q**4/3 + q**3/3 + 15*q. Find y such that h(y) = 0.
-1, 0, 1/5
Factor 2*u**2 - 21/4*u - 1/4*u**3 + 9/2.
-(u - 3)**2*(u - 2)/4
Let y(b) be the first derivative of -b**6/6 + b**5/5 + b**4/4 - b**3/3 - 4. Suppose y(w) = 0. Calculate w.
-1, 0, 1
Let l(p) be the second derivative of p**7/231 - p**5/110 - 2*p. Suppose l(t) = 0. Calculate t.
-1, 0, 1
Let u(m) = 5*m - 1. Let q be u(1). Factor -13*k**2 + 5*k**4 + 2*k**3 + k**4 + 5*k**2 + 2*k**q - 2*k.
2*k*(k - 1)*(k + 1)*(4*k + 1)
Suppose -1/4*a + 1/4*a**3 + 1/4*a**2 - 1/4*a**4 + 0 = 0. What is a?
-1, 0, 1
Let o(s) = 5*s**2 + 60*s + 45. Let i(q) = -8*q**2 - 90*q - 68. Let g(z) = -5*i(z) - 7*o(z). Let g(r) = 0. What is r?
-5, -1
Suppose 3*h = 4*p + h - 10, -h = 2*p - 11. Factor -18 - p*b + 15*b + b - 2*b**2.
-2*(b - 3)**2
Let z(l) be the third derivative of 0*l**3 - 2*l**2 + 0 - 1/1680*l**8 + 0*l**4 + 1/600*l**6 + 0*l + 1/1050*l**7 - 1/300*l**5. What is x in z(x) = 0?
-1, 0, 1
Let f(j) be the first derivative of j**4/4 + 4*j**3/3 - 11*j**2/2 + 6*j + 2. Factor f(y).
(y - 1)**2*(y + 6)
Let w be (-6)/(-10) + -9*6/90. Let y(d) be the third derivative of w + 0*d**4 + 0*d**6 - 1/672*d**8 + 0*d**3 + 0*d - 3*d**2 + 0*d**5 + 0*d**7. Factor y(s).
-s**5/2
Factor -8*d**3 + 6*d**5 + 0*d**3 - 5*d**5 + 4*d + 3*d**5.
4*d*(d - 1)**2*(d + 1)**2
Let v = 382 + -382. Factor v*d**2 - 2/5*d**3 + 2/5*d + 0.
-2*d*(d - 1)*(d + 1)/5
Let w(t) = -51*t**4 + 37*t**3 + 4*t**2 - 5. Let b(c) = -52*c**4 + 36*c**3 + 4*c**2 - 6. Let f(p) = 5*b(p) - 6*w(p). Factor f(j).
2*j**2*(j - 1)*(23*j + 2)
Let c(f) be the third derivative of f**6/24 - f**5/12 - 5*f**4/12 - 5*f**2 + 5*f. Find w, given that c(w) = 0.
-1, 0, 2
Let b(i) = -i**3 - 17*i**2 + 19*i + 20. Let d be b(-18). Factor 0 - 4/3*f - 2/3*f**3 - 2*f**d.
-2*f*(f + 1)*(f + 2)/3
Find t, given that 0 - 2/5*t**4 + 2*t**3 - 6/5*t**5 - 4/5*t + 2/5*t**2 = 0.
-1, 0, 2/3, 1
Let z(g) be the third derivative of -2*g**7/105 + g**6/15 - g**5/15 + 11*g**2. Factor z(q).
-4*q**2*(q - 1)**2
Let y(w) be the second derivative of -w**6/75 - w**5/25 + w**4/10 + w. Let y(f) = 0. Calculate f.
-3, 0, 1
Let o be (-64)/24*3/2. Let f be 11/12 + 1/o. Factor 0 + 4/3*a**4 + 2/3*a**5 + 0*a**2 + 0*a + f*a**3.
2*a**3*(a + 1)**2/3
Let p(b) be the first derivative of 0*b**2 + 3 + 0*b - 2/3*b**3. Factor p(r).
-2*r**2
Let b(f) be the second derivative of -f**7/84 - f**6/20 - f**5/40 + f**4/8 + f**3/6 - 8*f. Let b(r) = 0. Calculate r.
-2, -1, 0, 1
Let 0*u**3 - u**3 - 5*u**2 - 7*u + 0*u + 538 - 541 = 0. Calculate u.
-3, -1
Let g = 50 - 87. Let s = -34 - g. Factor 1/4*o + 0 - 1/4*o**5 + 0*o**s + 1/2*o**2 - 1/2*o**4.
-o*(o - 1)*(o + 1)**3/4
Suppose 4*a + 2 = 14. Let j(l) be the first derivative of l + 2 - 1/3*l**a + 1/4*l**4 - 1/2*l**2. Factor j(k).
(k - 1)**2*(k + 1)
Let k(f) = 2*f + 1. Let v be k(-3). Let r be (2 + v + 2)*-11. Factor -r + z**2 + 11.
z**2
Let o(h) be the first derivative of h**4 - 4*h**3/3 - 2*h**2 + 4*h - 5. Factor o(a).
4*(a - 1)**2*(a + 1)
Suppose -5*h = 5*x - 24 - 31, -5*h - 4*x = -50. Suppose 2*u = -u + h. Factor 0*a**u + 0*a**2 - 2 - 4*a - 2*a**2.
-2*(a + 1)**2
Let h(c) be the second derivative of -1/5*c**5 + 8*c - c**4 + 8*c**2 + 0*c**3 + 0. Suppose h(l) = 0. What is l?
-2, 1
Let x be (1 - 6/(-3))*8. Find m such that -12*m - 7*m**4 - 15*m**5 - x*m**2 - 2*m**4 + 17*m**4 + 16*m**4 + 27*m**3 = 0.
-1, -2/5, 0, 1, 2
Let b be (-3)/(((-15)/(-24))/(-5)). Factor 12/5 + 351/5*g**2 + 243/5*g**3 + b*g.
3*(g + 1)*(9*g + 2)**2/5
Let n(q) be the third derivative of q**8/560 + 3*q**7/175 - q**6/200 - 19*q**5/50 + 16*q**3/5 + 48*q**2. Suppose n(c) = 0. What is c?
-4, -1, 1, 2
Let c = 7 - 3. Factor -4*j**2 - c*j**2 + 11*j**2.
3*j**2
Factor -5/2*g**4 - 45/2*g**2 + 25/2*g**3 - 5 + 35/2*g.
-5*(g - 2)*(g - 1)**3/2
Suppose 0 = 4*r + 4, -p - 3*r - 25 = -3*p. Suppose 4*i - 5 = 4*a + p, 3*a = 0. Determine b so that b - 6*b - 3*b**i + 2*b**2 + 1 + 3*b**3 + b**3 + b = 0.
-1, 1/3, 1
Let n(y) be the first derivative of y**6/90 - y**5/12 + 2*y**4/9 - 2*y**3/9 - 2*y - 4. Let c(h) be the first derivative of n(h). Find m such that c(m) = 0.
0, 1, 2
Let c = -11 + 7. Let u(j) = -3*j**4 - j**3 + 5*j**2 + j - 2. Let o(m) = -2*m**4 + 4*m**2 - 2. Let q(l) = c*o(l) + 3*u(l). Solve q(h) = 0 for h.
-2, -1, 1
Let y(x) be the second derivative of x**6/720 - x**5/240 + x**3/3 - x. Let u(f) be the second derivative of y(f). Let u(h) = 0. What is h?
0, 1
Let -1/6*o**4 + 0*o + 0*o**2 + 0 + 1/6*o**5 + 0*o**3 = 0. Calculate o.
0, 1
Let u(j) be the second derivative of -3*j**5/5 - 8*j**4/3 - 10*j**3/3 - 6*j. Factor u(r).
-4*r*(r + 1)*(3*r + 5)
Let x(v) be the first derivative of v**7/2940 - v**5/420 - v**3/3 - 2. Let h(i) be the third derivative of x(i). Suppose h(a) = 0. Calculate a.
-1, 0, 1
Let n = 761 + -760. Suppose -1/3*d**2 - n - 4/3*d = 0. What is d?
-3, -1
Let c(s) be the second derivative of -s**7/63 + s**6/15 - s**5/15 - s**4/9 + s**3/3 - s**2/3 + 13*s. Factor c(l).
-2*(l - 1)**4*(l + 1)/3
Let y = 318/7 + -3484/77. Factor 0*j + 2/11*j**2 - y*j**3 + 0.
-2*j**2*(j - 1)/11
Let l(i) be the second derivative of 2*i**6/15 + i**5 + 7*i**4/3 + 2*i**3 - 14*i. Factor l(n).
4*n*(n + 1)**2*(n + 3)
Let a(b) be the third derivative of -b**2 + 0 - 1/24*b**3 + 1/48*b**4 + 0*b - 1/240*b**5. What is q in a(q) = 0?
1
Let i(t) = t**4 - 2*t**3 + 4*t**2 - 3*t - 3. Let l(j) = j**2 - j - 1. Let o(k) = -5*i(k) + 15*l(k). Factor o(p).
-5*p**2*(p - 1)**2
Let g be (-13852)/(-2772) - 3 - 2. Le