
-2, -1, 2
Let i = 196/465 - 2/93. What is r in 4/5 + i*r**2 + 6/5*r = 0?
-2, -1
Let k be 0 + 10/(60/9). Factor 0*n**3 + 0 + 0*n + 0*n**2 + k*n**5 + n**4.
n**4*(3*n + 2)/2
What is c in -8 - 3*c**3 - 4 + 87*c + 3*c**2 - 75*c = 0?
-2, 1, 2
Let q(k) be the third derivative of k**6/540 - k**3/2 - 6*k**2. Let v(c) be the first derivative of q(c). Suppose v(h) = 0. Calculate h.
0
Let -6/5*b**3 - 1/5*b + 0 - 1/5*b**5 - 4/5*b**4 - 4/5*b**2 = 0. What is b?
-1, 0
Let n(v) = -762*v**2 + 531*v - 57. Let l(k) = -109*k**2 + 76*k - 8. Let b(w) = 27*l(w) - 4*n(w). Factor b(p).
3*(5*p - 2)*(7*p - 2)
Let o(d) be the second derivative of d**5/60 - d**3/6 + d**2/3 - 7*d. Solve o(w) = 0 for w.
-2, 1
Let n(z) be the first derivative of 2*z**3/33 + 4*z**2/11 + 8*z/11 + 1. Factor n(s).
2*(s + 2)**2/11
Let z(j) = -j**2 + 3*j + 8. Let v(d) = 4*d**2 - 12*d - 31. Let q(p) = 2*v(p) + 9*z(p). Factor q(h).
-(h - 5)*(h + 2)
Factor 0*r**3 + 0 + 2/11*r**5 - 4/11*r**4 + 4/11*r**2 - 2/11*r.
2*r*(r - 1)**3*(r + 1)/11
Let r = -97 + 99. Let k(a) be the second derivative of 1/5*a**3 - 1/5*a**r - 1/10*a**4 + 4*a + 0 + 1/50*a**5. Suppose k(n) = 0. Calculate n.
1
Let n(p) be the first derivative of -p**7/1260 + p**6/180 - p**5/90 - 2*p**3/3 + 2. Let d(s) be the third derivative of n(s). Let d(u) = 0. Calculate u.
0, 1, 2
Let c(o) be the second derivative of -o**9/3024 - o**8/560 - o**7/280 - o**6/360 - o**3/3 - o. Let i(j) be the second derivative of c(j). Solve i(g) = 0 for g.
-1, 0
Let g(n) be the second derivative of -2/25*n**5 + 0 - 3/5*n**3 - 2/5*n**2 - 2*n - 2/5*n**4. Factor g(t).
-2*(t + 2)*(2*t + 1)**2/5
Let v(f) be the third derivative of 1/1848*f**8 + 0*f**6 + 0 + 0*f**3 - f**2 - 1/165*f**5 + 0*f - 1/132*f**4 + 2/1155*f**7. Suppose v(k) = 0. What is k?
-1, 0, 1
Let y = 19 + -17. Find b, given that -7*b**2 - 2 - 19*b - y*b + 12*b = 0.
-1, -2/7
Let s(n) be the third derivative of -n**5/180 + 5*n**4/72 - n**3/3 - 40*n**2. Determine f, given that s(f) = 0.
2, 3
Let c(t) be the third derivative of 0 + 0*t**3 - 4*t**2 + 0*t**4 + 1/360*t**6 + 0*t - 1/180*t**5 + 1/315*t**7. Suppose c(f) = 0. What is f?
-1, 0, 1/2
Let h(a) be the first derivative of -3*a**5/40 + 3*a**3/4 - 3*a**2/2 + a - 1. Let b(m) be the first derivative of h(m). Let b(d) = 0. What is d?
-2, 1
Determine z so that -1/2*z**2 - 1 - 3/2*z = 0.
-2, -1
Let s(u) be the third derivative of -3*u**8/112 - 8*u**7/35 - 3*u**6/8 + 3*u**5/10 + u**4 - 45*u**2. Suppose s(g) = 0. Calculate g.
-4, -1, 0, 2/3
Let t = -238 - -1192/5. Determine f so that t + 4/5*f + 2/5*f**2 = 0.
-1
Suppose -5*n - 29 = -4, 0 = 2*p - n - 13. Factor -2/5*f**2 + 0 + 2/5*f**p - 2/5*f**5 + 0*f + 2/5*f**3.
-2*f**2*(f - 1)**2*(f + 1)/5
Let h(x) be the second derivative of 1/30*x**5 + 1/6*x**4 + 1/4*x**3 + 0 + 1/6*x**2 + 4*x. Factor h(y).
(y + 2)*(2*y + 1)**2/6
Let s be (-6)/(-18)*6/1. Factor -2*n**s - 4 + 2*n + 1 - n**2 + 4*n.
-3*(n - 1)**2
Let r = -11/40 + 2/5. Let f(j) be the second derivative of 1/120*j**6 + r*j**2 + 1/168*j**7 + 1/24*j**3 + 0 - 1/24*j**4 - 2*j - 1/40*j**5. Factor f(k).
(k - 1)**2*(k + 1)**3/4
Let l be (-22)/(-4) - -25*(-6)/30. Factor f - l - 1/2*f**2.
-(f - 1)**2/2
Let z(t) = -7*t**3 + 16*t**2 - 8*t + 2. Let h(y) = y**3 - y**2 + y. Let k(o) = -3*h(o) + z(o). Let k(q) = 0. What is q?
2/5, 1/2, 1
Factor -1/5*l**2 - 9/5*l - 8/5.
-(l + 1)*(l + 8)/5
Let y = 4 - 4. Suppose 4*i + 4 + 4 = y. Let j(s) = -6*s**2 - 3*s + 3. Let u(o) = 13*o**2 + 6*o - 7. Let m(d) = i*u(d) - 5*j(d). What is t in m(t) = 0?
-1, 1/4
Let v(u) be the third derivative of -u**7/3360 - u**6/480 - u**5/240 - 2*u**3/3 - 2*u**2. Let o(r) be the first derivative of v(r). Solve o(a) = 0 for a.
-2, -1, 0
Let -2*d + 28*d**3 + 4*d**2 - 14*d**3 - 15*d**3 - d**2 = 0. What is d?
0, 1, 2
Let a(m) be the first derivative of -3*m**2 + 1 + 0*m - 21/5*m**5 + 3/2*m**4 + 7*m**3. Determine f so that a(f) = 0.
-1, 0, 2/7, 1
Let q be 0 + (-24)/(-10) + 48/(-120). What is w in -2/5*w**3 + 0 - 4/5*w - 6/5*w**q = 0?
-2, -1, 0
Let g(f) be the second derivative of 5*f**4/12 + 5*f**3/2 - 10*f**2 + 15*f. Determine z so that g(z) = 0.
-4, 1
Suppose -2*t = -0 - 6. Find p such that 5*p**4 + 0*p**4 - 2*p**2 - 2 + p**5 - p**4 - 5*p + 4*p**t = 0.
-2, -1, 1
Determine n, given that -32*n**2 + 67*n**2 - 24 - 38*n**2 - 23*n - 4*n = 0.
-8, -1
Let h = -61 + 62. Let 1/2*y**2 + h + 3/2*y = 0. Calculate y.
-2, -1
Let t(z) be the second derivative of z**7/42 - z**6/15 - 3*z**5/20 + 2*z**4/3 - 2*z**3/3 - z + 9. Suppose t(v) = 0. What is v?
-2, 0, 1, 2
Suppose 2*i - 2*h = 6, 5*i = 2*i + h + 3. Let -1/2*s + 1/4*s**2 + i = 0. Calculate s.
0, 2
Let l be 6 + 3*(-16)/12. Let 2/7*u**3 + 0*u + 2/7*u**l + 0 = 0. Calculate u.
-1, 0
What is b in -2/3*b**5 + 0 + 8/3*b**2 - 4*b**3 - 10/3*b**4 + 16/3*b = 0?
-2, 0, 1
Factor 15/2*d**2 + 15/4*d + 3/4 + 3/4*d**5 + 15/2*d**3 + 15/4*d**4.
3*(d + 1)**5/4
Let l be (-4)/(-10) - (-10)/(-25). Suppose 3*w = 6 - l. Solve 7*h**2 - 2*h**4 + 4*h - 5*h**w + 12*h**4 - 16*h**3 = 0.
-2/5, 0, 1
Let k = 6 - 2. Let -r**k - 4*r**5 + 5*r**4 - r**2 + 2*r**5 - 3*r**2 + 2*r = 0. What is r?
-1, 0, 1
Let l(p) = p**3 + 13*p**2 + 3. Let q be l(-13). Factor 2/5*o**q - 2/5*o**2 + 0 + 0*o.
2*o**2*(o - 1)/5
Let k(v) be the third derivative of v**8/1680 - v**7/525 + v**5/150 - v**4/120 - 11*v**2. Factor k(t).
t*(t - 1)**3*(t + 1)/5
Let d(w) be the third derivative of -w**7/105 - w**6/12 - 4*w**5/15 - w**4/3 - 2*w**2 - 10. Suppose d(v) = 0. Calculate v.
-2, -1, 0
Find o such that 9*o**3 + 3*o**4 - o + 4 + 3*o**2 - 10*o - 10 + 2*o = 0.
-2, -1, 1
Let l(r) be the third derivative of 51/140*r**7 + 0*r + 4*r**2 - 1/4*r**4 + 0 + 9/56*r**8 + 2/3*r**3 - 43/60*r**5 - 7/80*r**6. Let l(f) = 0. What is f?
-1, -2/3, 1/4, 2/3
Let a be 16*27/1260 - 2/10. Factor 1/7*g**3 + 0*g + a*g**2 + 0.
g**2*(g + 1)/7
Let l = -93 + 58. Let y be 10/l - (-68)/42. Factor 2/3*u**3 + 0 - y*u**2 + 2/3*u.
2*u*(u - 1)**2/3
Let x(i) be the second derivative of -i**4/4 - 3*i**3 - 15*i**2/2 - 16*i. Factor x(k).
-3*(k + 1)*(k + 5)
Let v(h) be the third derivative of -16/3*h**3 - 26/3*h**4 - 22/3*h**5 - 5/2*h**6 + 0*h + 0 + 2*h**2. Suppose v(c) = 0. What is c?
-2/3, -2/5
Let w(x) be the second derivative of -x**7/3780 - x**6/540 - x**5/180 - x**4/6 + x. Let g(q) be the third derivative of w(q). Find n, given that g(n) = 0.
-1
Solve -3*h**2 - 4/7 + h**3 - 3/7*h**5 + 16/7*h + 5/7*h**4 = 0 for h.
-2, 2/3, 1
Let h be ((-4)/(-3))/((-2)/(-6)). Let x(n) = h*n + 5 - 3*n + n + 5*n**2. Let y(q) = -4*q**2 - 2*q - 4. Let g(s) = 3*x(s) + 4*y(s). Factor g(j).
-(j + 1)**2
Factor 25/3*c - 25/3*c**3 - 20/3 + 5*c**2 + 5/3*c**4.
5*(c - 4)*(c - 1)**2*(c + 1)/3
Let f(b) be the first derivative of -b**5/25 + b**4/10 - 1. Factor f(z).
-z**3*(z - 2)/5
Let q(r) be the first derivative of -3/22*r**4 - 4/55*r**5 + 0*r + 2 - 2/33*r**3 + 0*r**2. Factor q(f).
-2*f**2*(f + 1)*(2*f + 1)/11
Let x(i) be the second derivative of i**5/30 - i**4/3 + 4*i**3/3 - 2*i**2 + i. Let a(t) be the first derivative of x(t). Solve a(j) = 0 for j.
2
Let z(x) be the second derivative of -7*x**6/150 - 9*x**5/100 + x**4/5 + 2*x**3/15 - 2*x. Factor z(d).
-d*(d - 1)*(d + 2)*(7*d + 2)/5
Let m = 72 - 70. Let w(t) be the second derivative of -m*t + 1/20*t**4 + 0*t**3 + 0 + 0*t**2. Let w(b) = 0. What is b?
0
Let r(l) be the third derivative of l**5/540 - l**4/72 - 34*l**2. Suppose r(q) = 0. Calculate q.
0, 3
Let c(z) be the second derivative of -z**4/3 - 2*z**3 - 9*z**2/2 - 4*z. Let c(o) = 0. Calculate o.
-3/2
Let d = 3 + -3. Let p be 39 - ((d - -2) + -3). Let -20*m**2 + 0 - 23*m**4 - 7*m**4 + 8*m**5 + 2 + p*m**3 = 0. Calculate m.
-1/4, 1
Suppose 12 = f + 12. Let d(g) be the first derivative of -1/15*g**3 + 3 + f*g**2 + 0*g. Factor d(h).
-h**2/5
Let h(j) = -2*j**2 + 6*j. Let r(o) = o - 1. Let x(l) = -6*l**2 + 23*l - 4. Let n(y) = -4*r(y) + x(y). Let a(d) = 7*h(d) - 2*n(d). Determine s so that a(s) = 0.
0, 2
Let 28*q**3 - q**2 - 28*q**5 - 8*q**4 + 9*q**2 - 1 + 1 = 0. What is q?
-1, -2/7, 0, 1
Let u(p) be the first derivative of 0*p - 3 - 2/21*p**3 + 1/14*p**4 + 0*p**2. Factor u(a).
2*a**2*(a - 1)/7
Solve 0*l - 2/9*l**3 - 2/9*l**2 + 0 = 0 for l.
-1, 0
Let i(q) = q**2 - 28*q - 48. Let j(u) = -27*u - 48. Let n(m) = 3*i(m) - 4*j(m). What is b in n(b) = 0?
-4
Let r(i) be the second derivative of i**5/30 + i**4/6 + 2*i**3/9