, -1, 0, 1/2
Let d(b) be the first derivative of 3 + 3/2*b**2 - 6*b + b**3. Factor d(t).
3*(t - 1)*(t + 2)
Let k(x) be the first derivative of -2*x**5/5 - x**4/2 + 2*x**3/3 + x**2 - 6. What is o in k(o) = 0?
-1, 0, 1
Let a(l) be the first derivative of -l**4/6 + l**2/3 - 4. Factor a(j).
-2*j*(j - 1)*(j + 1)/3
Let z(a) be the third derivative of -a**7/42 + a**5/4 + 5*a**4/12 + 12*a**2. Solve z(v) = 0.
-1, 0, 2
Let l be 0 - -1*(3 + 2). Suppose m + 0*m + l = -5*o, 5*o = -4*m + 10. Determine x, given that -m + 4 + 3 - 3*x + x**3 + 0*x**3 = 0.
-2, 1
Let g(d) = d**2 + 11*d + 24. Let i be g(-3). Let o(s) be the third derivative of 0*s + 0 - 1/90*s**5 + i*s**3 - 1/18*s**4 - s**2. Factor o(n).
-2*n*(n + 2)/3
Let v(g) = g + 5. Let m(c) = 1. Let s(i) = -6*m(i) + v(i). Let b(l) = -2*l**3 - 9*l**2 - 6*l - 10. Let d(h) = b(h) - 6*s(h). Find u, given that d(u) = 0.
-2, -1/2
Let l(q) = 2*q**5 - 2*q**3 - 6*q + 6. Let g(t) = -t + 1. Let u(x) = -6*g(x) + l(x). Solve u(p) = 0 for p.
-1, 0, 1
Factor 0*r**3 - 1/4*r**4 - 1/8*r**5 + 1/8*r + 1/4*r**2 + 0.
-r*(r - 1)*(r + 1)**3/8
Let k be 2*(2/(-10))/(1080/(-50)). Let s(q) be the third derivative of -1/27*q**3 + 0*q - 2*q**2 - k*q**4 + 0 - 1/270*q**5. Let s(n) = 0. Calculate n.
-1
Let w(t) be the second derivative of -1/20*t**5 - 1/6*t**3 - 1/120*t**6 + 1/2*t**2 + 0 + 3*t - 1/8*t**4. Let a(b) be the first derivative of w(b). Factor a(p).
-(p + 1)**3
Let l(s) = -s**4 - 14*s**3 - 17*s**2 - 12*s + 8. Let b(y) = -y**3 - y**2 - y + 1. Let n(i) = -24*b(i) + 3*l(i). Determine d so that n(d) = 0.
-4, -1, 0
Let x(p) be the first derivative of 3/4*p**4 + 0*p + 3 - p**3 + 0*p**2. Solve x(t) = 0.
0, 1
Let j(m) be the third derivative of -m**8/2352 - m**7/735 + m**5/210 + m**4/168 - 9*m**2. Factor j(d).
-d*(d - 1)*(d + 1)**3/7
Let w(p) be the first derivative of -3/25*p**5 + 7 - 1/15*p**3 + 1/30*p**6 + 3/20*p**4 + 0*p + 0*p**2. Find f, given that w(f) = 0.
0, 1
Factor d**2 - 6*d**2 - 30 - 16*d - 19*d + 10*d.
-5*(d + 2)*(d + 3)
Let b(k) = -k**2 - 7*k - 1. Suppose -4*w + 0*q - 28 = -4*q, 0 = -q + 1. Let t be b(w). Factor -3*r**t - 5*r**4 + 2*r**5 + 4*r**4.
-r**4*(r + 1)
Suppose s + 0*s = 2, -42 = 2*y - 2*s. Let p be y/(-5) + (-2)/(-10). Factor -4*v**4 - 4*v**2 + 6*v**p + 2*v**5 + 0 + 2*v - 4*v**3 + 2.
2*(v - 1)**2*(v + 1)**3
Let y(t) be the second derivative of 5*t**7/42 - t**5 - 5*t**4/6 + 5*t**3/2 + 5*t**2 + 9*t. Solve y(n) = 0.
-1, 1, 2
Let u(t) be the second derivative of 0 - 1/2*t**4 - t**3 - 1/10*t**5 - t**2 + 3*t. Factor u(m).
-2*(m + 1)**3
Suppose -51/5*o - 24/5 - 6*o**2 - 3/5*o**3 = 0. Calculate o.
-8, -1
Let a(r) = 4*r**3 - 2*r**2 - 2*r + 1. Let g be a(2). Suppose -21 + 12*t - 4*t**2 + g = 0. What is t?
0, 3
Let l(d) be the first derivative of -1/2*d + 11/8*d**2 - 3/4*d**3 + 5. Suppose l(u) = 0. What is u?
2/9, 1
Suppose 0 = 2*m + 2*g + 18, -5*m + 5*g + 0 = 25. Let d be (-19)/m - (-12)/42. What is x in -1/5*x**2 + 1/5 - 2/5*x + 2/5*x**d = 0?
-1, 1/2, 1
Suppose 3*u - 3*d = -8*d + 31, -3*u = -d - 1. Let j = 361/36 - 70/9. Solve -3/2*c - 1/4 - u*c**2 + j*c**4 + c**5 + 1/2*c**3 = 0 for c.
-1, -1/4, 1
Suppose -2*u + 13 = 79. Let q be 44/u + (-70)/(-12). Factor r**2 + 0 + 0*r + 7/2*r**4 - q*r**3.
r**2*(r - 1)*(7*r - 2)/2
Let p be (4/(-6))/((-5)/15). Let k be ((-6)/p)/((-2)/2). Determine x so that 5*x + 9*x**k - x + 0*x**2 - 12*x**2 + 0*x = 0.
0, 2/3
Suppose 0 - 2/3*o**5 - 8/3*o**4 - 10/3*o**3 - 4/3*o**2 + 0*o = 0. Calculate o.
-2, -1, 0
Let x(r) = 10*r**2 - 170*r + 90. Let b(h) = -h**2 + 19*h - 10. Let j(l) = -35*b(l) - 4*x(l). Let j(t) = 0. What is t?
1, 2
Let b(r) be the third derivative of -r**7/1050 + r**6/200 - r**5/300 - r**4/40 + r**3/15 - 5*r**2. Find p such that b(p) = 0.
-1, 1, 2
Suppose -4*c + 30 = 2*z, -3*z - 2*z + 45 = 4*c. Factor -28*x**3 - x**z - 62*x**3 - 405*x + 238 + 99*x**2 + 171*x**2 + 15*x**4 + 5.
-(x - 3)**5
Determine t, given that 5*t**4 - 7*t**4 - 4*t**2 + t - 2*t**3 + 7*t**3 = 0.
0, 1/2, 1
Suppose i - 28 = -6*i. Suppose -8 = q - 5*q. Solve -x**3 - 2 - i*x**2 - x**4 + 0*x**2 + 4*x**q + 3*x**2 + x = 0 for x.
-2, -1, 1
Let b(c) be the third derivative of c**8/1008 - c**7/630 - c**6/360 + c**5/180 - 20*c**2. Factor b(q).
q**2*(q - 1)**2*(q + 1)/3
Factor -49*r**2 - 2 + 53*r**2 + 4*r**3 - 4*r - 2.
4*(r - 1)*(r + 1)**2
Let u(p) be the third derivative of -p**5/80 - p**4/96 - 8*p**2. Factor u(z).
-z*(3*z + 1)/4
Let c(o) be the first derivative of o**4/20 - 4*o**3/15 - o**2/10 + 4*o/5 - 34. Find q, given that c(q) = 0.
-1, 1, 4
Let o = -1/68 - -147/748. Suppose 4/11*k**2 + 0*k**3 + o*k - 4/11*k**4 + 0 - 2/11*k**5 = 0. What is k?
-1, 0, 1
Let g = 39 - 33. Let u(k) be the first derivative of -1/24*k**g + 0*k**3 + 0*k - 3 - 1/8*k**2 + 0*k**5 + 1/8*k**4. Find i such that u(i) = 0.
-1, 0, 1
Find m such that -1/2*m**2 + 0 + 1/2*m**4 + 0*m + 0*m**3 = 0.
-1, 0, 1
Let p(g) be the second derivative of -2*g**6/5 - 21*g**5/20 + 3*g**4/2 + 7*g**3/2 - 3*g**2 - 6*g. Find b such that p(b) = 0.
-2, -1, 1/4, 1
Let m = -9 + 13. What is h in -4*h**m + 8*h**3 - 3*h**3 - 3*h**3 + 2*h**5 = 0?
0, 1
Let f(p) be the first derivative of p**5/70 + p**4/42 - 2*p**3/21 + 5*p - 3. Let q(l) be the first derivative of f(l). Suppose q(j) = 0. What is j?
-2, 0, 1
Factor 2/5 + 3/5*q - 2/5*q**2.
-(q - 2)*(2*q + 1)/5
Let t(v) be the third derivative of -v**7/42 - 2*v**6/15 - 2*v**5/25 + 8*v**4/15 - 8*v**3/15 + 7*v**2. Factor t(p).
-(p + 2)**2*(5*p - 2)**2/5
Suppose 0 = -9*i + 27 - 9. Determine x, given that 2/5*x - 2/5*x**3 + 0*x**i + 0 = 0.
-1, 0, 1
Let l(q) = -q**2 - 22*q - 103. Let z be l(-7). Factor 36/5*c**z + 108/5 - 4/5*c**3 - 108/5*c.
-4*(c - 3)**3/5
Let y(k) be the first derivative of 0*k - 3/8*k**4 + 1/5*k**5 + 1/3*k**3 - 4 - 1/8*k**2 - 1/24*k**6. Factor y(u).
-u*(u - 1)**4/4
Let o be (-2)/(-5) - (-115)/25. Suppose -2*p + z = -3*z, 3*p - o*z - 2 = 0. Find b, given that -1/2*b**3 + 3/4*b**p - 1/2*b**2 - 1/4 + 3/4*b - 1/4*b**5 = 0.
-1, 1
Let r be (-9*(-8)/252)/(4/28). Factor -r*j - 4/5 + 6/5*j**2.
2*(j - 2)*(3*j + 1)/5
Factor -33/4*z**3 + 0 - 21/4*z**5 - 12*z**4 + 0*z - 3/2*z**2.
-3*z**2*(z + 1)**2*(7*z + 2)/4
Let n(y) be the first derivative of y**2 + 3/4*y**4 + 1 - 4/3*y**3 + y. Let l(w) = w**3 + 1. Let z(h) = l(h) - n(h). Factor z(j).
-2*j*(j - 1)**2
Let f be 2 + 48/8 + -5. Factor -1/3*k**f - k**2 - 1/3 - k.
-(k + 1)**3/3
Let a(n) be the second derivative of -n**5/100 - n**4/20 - n**3/10 - n**2/10 - 8*n. Determine z, given that a(z) = 0.
-1
Let r(a) be the third derivative of 3/100*a**6 + 0*a**3 + 0 + 0*a + 3*a**2 + 1/15*a**4 + 2/25*a**5. What is s in r(s) = 0?
-2/3, 0
Let g(q) = q**2 + 3*q + 1. Let j be g(-2). Let x(m) = m**2 + m - 1. Let y(k) = -k - 2*k**2 + 2 + 1 + 0*k. Let l(b) = j*y(b) - 3*x(b). Find v such that l(v) = 0.
-2, 0
Let o(v) = -v**3 + 8*v**2 - 8*v + 9. Let i be o(7). Determine s, given that 1/4*s - 1/4*s**i + 0 = 0.
0, 1
Let c(o) = o**3 - 5*o**2 + 2. Let p be c(5). Let s = 77 + -383/5. Find u such that 0 - 7/5*u**p + 7/5*u**4 - 2/5*u + s*u**3 = 0.
-1, -2/7, 0, 1
Suppose 0 = 5*l, -u - 4*l = -0*l - 2. Factor -1/5*w + 1/5*w**3 + 1/5*w**u + 0 - 1/5*w**4.
-w*(w - 1)**2*(w + 1)/5
Let t(k) be the third derivative of 0*k + 1/3*k**3 + 1/6*k**4 + 2*k**2 + 1/30*k**5 + 0. Factor t(l).
2*(l + 1)**2
Let f(l) be the second derivative of -5*l**4/12 - l**3/4 + l**2/4 - 9*l. What is c in f(c) = 0?
-1/2, 1/5
Let b(f) = 6 - 4 + f - 3. Let y be b(3). What is s in 2*s - 4*s - 2*s - y*s**2 = 0?
-2, 0
Let d(s) = s**3 + 10*s**2 + 10*s + 9. Let h be d(-9). Suppose -3*k + 4*t + 3 = 11, -3*t = 2*k - 23. Factor 0*i**2 + 0 + 0*i + 2/7*i**3 - 2/7*i**5 + h*i**k.
-2*i**3*(i - 1)*(i + 1)/7
Let y(g) be the third derivative of 0*g**3 + 1/300*g**6 - 2*g**2 - 1/1680*g**8 + 1/1050*g**7 + 0 + 0*g + 0*g**4 + 0*g**5. Solve y(p) = 0 for p.
-1, 0, 2
Let v(x) be the second derivative of -x**7/14 - 3*x**6/10 - 9*x**5/20 - x**4/4 + 8*x. Factor v(w).
-3*w**2*(w + 1)**3
Let l be (2/(-4) - 1)/((-14)/28). Factor 0 + 5*m**2 - 1/2*m - 25/2*m**l.
-m*(5*m - 1)**2/2
Suppose 1/7*r**5 + 0*r + 4/7*r**4 + 2/7*r**2 + 5/7*r**3 + 0 = 0. Calculate r.
-2, -1, 0
Let g(c) be the third derivative of -c**8/168 - 2*c**7/35 - 11*c**6/60 - c**5/15 + c**4 + 8*c**3/3 - 5*c**2. Let g(d) = 0. What is d?
-2, -1, 1
Let f(v) = 3*v**2 + 6*v - 11. Let y(b) = 13*b**2 + 23*b - 44. Let c(i) = -9*f(i) 