2*(b + 1)**3/3
Let r(f) be the second derivative of f**5/90 - f**3/27 + 12*f. What is l in r(l) = 0?
-1, 0, 1
Suppose u - 4 = -u. Factor 5*j**u - j**2 - 3*j - j**2.
3*j*(j - 1)
Suppose 2 = -j + 5. Determine g, given that j*g**4 + 4*g**2 - 6*g**4 - g**2 = 0.
-1, 0, 1
What is i in 3919 - 3949 + i**2 + i**2 - 5*i - 23*i = 0?
-1, 15
Let u = 14 - 29. Let t be u/(-4) - 3/(-12). Solve -4/7*o**t + 0 + 0*o**2 + 0*o - 2/7*o**3 = 0.
-1/2, 0
Suppose -2*s - 4 = -4*s. Factor 2*p + p - p**5 - 2*p**3 + 4*p**5 + 20*p**3 - 12*p**4 - 12*p**s.
3*p*(p - 1)**4
Let n(v) be the third derivative of v**5/10 + 3*v**4/8 + v**3/2 + 8*v**2. Factor n(j).
3*(j + 1)*(2*j + 1)
Let h = -1264322 - -787672805/623. Let i = -3/89 + h. Factor 0*x + 2/7*x**2 - i.
2*(x - 1)*(x + 1)/7
Let i be (-40)/5*14/(-8). Solve i*g**3 + 7*g**2 + 0*g**3 - 3*g**2 = 0 for g.
-2/7, 0
Let d = 28 - 25. Find p such that -p**3 + 9 - p + d*p - 17*p + 7*p**2 = 0.
1, 3
Suppose -8 - 4 = -3*s. Solve -3*k + k - 2*k**4 + 2*k**5 - s*k**2 + 6*k**4 = 0.
-1, 0, 1
Let 2*s**2 - 5 + 4 - 9*s - 5 - 5*s**2 = 0. What is s?
-2, -1
Suppose -3*w + 2 = -2*w. Let 2*l**w - 3*l**3 - l**3 + 3*l + 0*l - l = 0. What is l?
-1/2, 0, 1
Determine z so that 10/11*z + 2/11*z**2 - 12/11 = 0.
-6, 1
Let x be 0 + 0 + -3 + 85/25. Let y be (-1)/(0 - 2/6). Factor 4/5*b**y + 4/5*b**2 - 6/5*b**4 + x*b**5 + 2/5 - 6/5*b.
2*(b - 1)**4*(b + 1)/5
Let y(n) = -4 - 1 - 2*n + 4 + n. Let f be y(-3). Factor -1/4*j**4 - 1/4*j**f + 0 - 1/2*j**3 + 0*j.
-j**2*(j + 1)**2/4
Let x be (56/42)/(4/6). Let m(n) be the third derivative of 1/10*n**5 + 0 + 4/3*n**3 + 0*n + 2/3*n**4 + 3*n**x. Factor m(b).
2*(b + 2)*(3*b + 2)
Let v = 2 + 1. Find c, given that 2*c**4 + 3*c**5 - 3*c**3 - 3*c**4 + 0*c**5 - 2*c**2 + v*c**4 = 0.
-1, -2/3, 0, 1
Let q(u) be the first derivative of 0*u + 1/4*u**4 + 2*u**2 - 1/60*u**5 + 4 - 3/2*u**3. Let o(a) be the second derivative of q(a). Factor o(m).
-(m - 3)**2
Let f be (12/(-10))/((-21)/70). Let w be f + (-3)/((-84)/(-88)). What is u in -2*u**4 - 4/7*u + w*u**3 + 6/7*u**5 + 0 + 6/7*u**2 = 0?
-2/3, 0, 1
Let l(p) = 4*p**3 - 3*p**3 + 0*p**3. Let k(j) = 0 - 1 - 11*j**2 + 20*j**3 - 16*j**2 + 7*j + 2*j. Let b(y) = -3*k(y) - 21*l(y). Factor b(m).
-3*(3*m - 1)**3
Find f, given that 13/4*f**2 + 0 - 1/2*f = 0.
0, 2/13
Let p be (-8)/28 - 967/(-3360). Let s(a) be the third derivative of 0*a**3 - p*a**6 + 2*a**2 + 0 - 1/96*a**4 + 0*a + 1/120*a**5. Factor s(w).
-w*(w - 1)**2/4
Let l(u) = 11*u**4 - 5*u**3 - 7*u**2 - 9*u - 9. Suppose -3 = -5*f + 17. Let n(t) = -5*t**4 + 2*t**3 + 3*t**2 + 4*t + 4. Let y(k) = f*l(k) + 9*n(k). Factor y(s).
-s**2*(s + 1)**2
Suppose -l - l - n = -12, 3*l = n + 13. Let z = -2 + l. Determine p, given that 4*p**2 - 4 + 2 + 0*p + 2*p**z - 2*p**2 - 2*p = 0.
-1, 1
Factor 5/2*c**2 + 0 + 0*c + 5/4*c**3 - 5/4*c**4.
-5*c**2*(c - 2)*(c + 1)/4
Let l be 10/(-65) - 573/78. Let o = 8 + l. Let 5/4*b + 7/4*b**2 - o = 0. Calculate b.
-1, 2/7
Let f(c) be the second derivative of -c**7/280 - c**6/120 - c**3/6 + 3*c. Let z(y) be the second derivative of f(y). Factor z(i).
-3*i**2*(i + 1)
Let a = -6927/13 - -533. Factor 6/13*l**3 - 2/13*l**2 + a*l**5 + 0 + 0*l - 6/13*l**4.
2*l**2*(l - 1)**3/13
Factor 0 + 0*o + 0*o**3 + 2/9*o**5 + 0*o**2 - 4/9*o**4.
2*o**4*(o - 2)/9
Let c = 276 - 164. Let t be 60/c - (-3)/(-12). Suppose -4/7*h + t*h**2 + 2/7 = 0. Calculate h.
1
Suppose 2*a + 0 = 2. Let g(h) = -8*h**2 + 4*h - 1. Let p(o) = o**2 + o - 1. Let k(r) = a*g(r) + 5*p(r). Factor k(v).
-3*(v - 2)*(v - 1)
Let i = 21947/3 - 7228. Let n = i - 87. Factor 0*d + 2/3*d**2 + 0 + n*d**3.
2*d**2*(d + 1)/3
Let d(f) be the first derivative of 1/4*f**3 + 4 - 1/5*f**5 + 0*f + 0*f**4 + 1/8*f**2. Factor d(s).
-s*(s - 1)*(2*s + 1)**2/4
Let b = -279 - -559/2. Let -1/2*z**2 + 1/2*z**5 + z + b*z**4 + 0 - 3/2*z**3 = 0. What is z?
-2, -1, 0, 1
Suppose -5*b + 0 = -5. Suppose 5*c - 5 = 0, 0*p + b = p - 3*c. Suppose -2*j**2 - j - 3*j**4 + 2*j**p + 3*j**2 + j**3 = 0. Calculate j.
-1, 0, 1
Let o = 127/4410 + 2/441. Let m(z) be the third derivative of -1/12*z**4 - z**2 - o*z**5 + 0*z + 2/3*z**3 + 0. Factor m(n).
-2*(n - 1)*(n + 2)
Let w(j) be the third derivative of 0*j + 0 + 0*j**3 - 17/540*j**6 - 1/72*j**8 + 1/54*j**5 - 4*j**2 + 1/54*j**4 - 41/945*j**7. Let w(l) = 0. Calculate l.
-1, -2/7, 0, 1/3
Let z(y) = -y**2 + 10*y - 14. Let l be z(8). Find t, given that -2/9 - 2/9*t**l + 4/9*t = 0.
1
Let v be -2*(-4)/(-16)*-6. Let r(m) be the third derivative of 4/3*m**v - 3/2*m**4 - 9/40*m**6 + 9/10*m**5 + 2*m**2 + 0*m + 0. Let r(u) = 0. What is u?
2/3
Let u(b) be the third derivative of -b**2 + 0*b - 1/48*b**4 + 1/240*b**5 + 1/24*b**3 + 0. Factor u(p).
(p - 1)**2/4
Let h(m) be the first derivative of 3*m**5/10 + 9*m**4/8 + m**3 + 2. Determine z so that h(z) = 0.
-2, -1, 0
Let m(n) be the second derivative of -n**4/54 - n**3/27 + 33*n. Find d such that m(d) = 0.
-1, 0
Let b = -45 + 136/3. Let i = 1/6 + b. Find p, given that 3/2*p + 1/2 + 3/2*p**2 + i*p**3 = 0.
-1
Let r(b) be the third derivative of 0*b**6 + 1/35*b**7 + 0*b + 1/112*b**8 - 1/10*b**5 + 0 + 0*b**3 + 5*b**2 - 1/8*b**4. Determine v so that r(v) = 0.
-1, 0, 1
Factor -1/4*p**4 - 3/4*p**3 - 1/4*p - 3/4*p**2 + 0.
-p*(p + 1)**3/4
Let x(r) = 31*r**5 + 24*r**4 - 49*r**3 + 12*r**2 + 7*r + 7. Let y(p) = 10*p**5 + 8*p**4 - 16*p**3 + 4*p**2 + 2*p + 2. Let m(o) = -4*x(o) + 14*y(o). Factor m(k).
4*k**2*(k + 2)*(2*k - 1)**2
Let r(g) be the third derivative of g**9/7560 + g**8/1400 + g**7/700 + g**6/900 - 4*g**3/3 + 7*g**2. Let m(h) be the first derivative of r(h). Factor m(f).
2*f**2*(f + 1)**3/5
Suppose 12 = 2*l + 8. Let d(p) be the first derivative of -3 - 2/3*p**3 - p**l + 0*p. Let d(o) = 0. Calculate o.
-1, 0
Factor 4*f**4 + 4*f**2 + 9*f**3 + 6*f**3 - 7*f**3.
4*f**2*(f + 1)**2
Let j(t) be the first derivative of t**6/15 + 4*t**5/25 - 4*t**3/15 - t**2/5 - 9. Find l such that j(l) = 0.
-1, 0, 1
Let a(m) be the second derivative of m**7/98 + m**6/35 - 3*m**5/70 - 2*m**4/7 - m**3/2 - 3*m**2/7 + m. Factor a(p).
3*(p - 2)*(p + 1)**4/7
Factor 30*a**3 - 15*a**4 + 4*a - 16*a**2 - 6*a**3 - a**4 + 4*a**5.
4*a*(a - 1)**4
Let h = -661 + 663. Determine o, given that -4/3*o**h - 1/3*o**4 + 0 + 0*o + 4/3*o**3 = 0.
0, 2
Let y(t) be the first derivative of 2/25*t**5 - 4/15*t**3 + 2/5*t + 2 + 4/5*t**4 - 4/15*t**6 - 4/5*t**2. What is b in y(b) = 0?
-1, 1/4, 1
Let h be (1/2)/(0 - -1). Let q = 17/50 - -4/25. Factor -r - q*r**2 - h.
-(r + 1)**2/2
Determine k so that 45*k**3 - 4*k**4 - 21*k**3 - 20*k**3 = 0.
0, 1
Let g = -145 + 148. Factor -2/7*z**g + 0 + 0*z**2 + 0*z - 2/7*z**4.
-2*z**3*(z + 1)/7
Let x = -1 + -1. Let c(r) = -4*r**2 - 3*r + 1. Let z(i) = -i - 1. Let w(h) = x*c(h) - 4*z(h). Factor w(q).
2*(q + 1)*(4*q + 1)
Let z = -118/3 + 40. Suppose 2/3 + 0*y - z*y**2 = 0. What is y?
-1, 1
Let o(l) = 2*l**2 - l + 1. Let d be o(1). Factor -2*u**2 - 2 + 3*u**d + 1.
(u - 1)*(u + 1)
Let h(i) be the third derivative of 2*i**7/525 + i**6/150 - 2*i**5/75 + 28*i**2. Factor h(w).
4*w**2*(w - 1)*(w + 2)/5
Let j(s) = -10*s + 6 - 2*s**2 + 0*s - s. Let k be j(-6). Factor 2/7*x**5 + k*x**3 - 4/7*x**2 + 4/7*x**4 + 0 - 2/7*x.
2*x*(x - 1)*(x + 1)**3/7
Let z(d) = 10*d**2 + 4*d - 8. Let n(w) = w. Let i(t) = 6*n(t) - z(t). Let i(b) = 0. Calculate b.
-4/5, 1
Let d(p) = p**3 + 15*p**2 - 18*p - 27. Let t be d(-16). Let -x + 0*x**4 - 1/3*x**t + 4/3*x**3 - 2/3 + 2/3*x**2 = 0. What is x?
-1, 1, 2
Let i(j) be the third derivative of -j**5/210 + 4*j**3/21 - 6*j**2. Suppose i(x) = 0. What is x?
-2, 2
Let b(f) be the second derivative of 0*f**2 + 0 - 1/6*f**4 + 0*f**3 - 3*f + 1/30*f**6 - 1/20*f**5. Suppose b(u) = 0. What is u?
-1, 0, 2
Let n be (1 + -1 - -3) + -1. Suppose 5*o - 2*h - 20 = 0, 0 = -2*o + 3*h - 7*h - 16. Let -4*x**4 + 6*x**3 + 0 + 2*x**o + 2 - 4*x - n*x = 0. Calculate x.
-1, 1/2, 1
Suppose 0 = h - 3 - 1. Let t(o) be the second derivative of -o**2 + 2*o + o**3 + 5/8*o**h + 0 - 11/20*o**5 - 7/20*o**6. Suppose t(r) = 0. Calculate r.
-1, 2/7, 2/3
Suppose 3*f + 50 = 8*f. Suppose -5*n = -0*n - f. What is b in -4*b**n - b**3 - b**2 + 1 + b + 4*b**2 = 0?
-1, 1
Suppose 2*v**2 - 28 - v**2 + 28 + 2*v = 0. What is v?
-2, 0
Factor 10 + 5*q - 5/4*q**4 - 25/4*q**3 - 15/2*q**2.
-5*(q - 1)*(q + 2)**3/4
Suppose 2*h - 10 = -3*h. Suppose 2*u - 16 = 4*m, -3*m - 26 = -h*u - 3*u. What is n in -4/9*n + 