. Suppose -3/2*l**2 + b + l = 0. Calculate l.
-1/3, 1
Suppose 6*n - 48 = 3*n. Suppose 5*d = -3*d + n. Suppose 0*a + 0*a**3 + 1/4*a**d - 1/4*a**4 + 0 = 0. What is a?
-1, 0, 1
Let o be 1*21/(2 + 1). Factor -3 + o - 3*f**2 + 0 - 4*f.
-(f + 2)*(3*f - 2)
Let o be (1/(-1) + 0)/(210/(-84)). Find d such that 0 - 2/5*d**3 - 2/5*d**2 + 2/5*d**4 + o*d = 0.
-1, 0, 1
Let i(l) = -l**4 - l**3 - l**2 + l - 2. Let x(b) = 5*b**4 + 4*b**3 + 4*b**2 - 4*b + 9. Let t = 4 + -6. Let d(w) = t*x(w) - 9*i(w). Determine n so that d(n) = 0.
-1, 0, 1
Suppose -18 = 25*j - 34*j. Find u such that -9/7*u**3 + 0 + 3/7*u**4 + 9/7*u**j - 3/7*u = 0.
0, 1
Let t(p) be the second derivative of -p**6/15 + p**5/30 + p**4/9 - p. Suppose t(q) = 0. Calculate q.
-2/3, 0, 1
Let w(k) be the third derivative of 0 + 1/30*k**5 + 1/6*k**3 + 1/240*k**6 + 5/48*k**4 + 0*k + 2*k**2. Solve w(z) = 0 for z.
-2, -1
Let w = -3 + 5. Suppose w = l - 0. Factor 4 - 3*g**l - 5*g**2 - 6 - 8*g.
-2*(2*g + 1)**2
Let r(c) be the second derivative of c**7/126 - c**6/18 + c**5/6 - 5*c**4/18 + 5*c**3/18 - c**2/6 - 22*c. Find h such that r(h) = 0.
1
Let m be (-6)/(12/(-10)) - 9/3. Determine v so that 12/5 + 21/5*v**3 + 3*v**m - 48/5*v = 0.
-2, 2/7, 1
Let b(p) be the second derivative of -p**4/3 + 2*p**3 + 8*p**2 - 2*p. Factor b(k).
-4*(k - 4)*(k + 1)
Suppose -c - 3*n - 31 = 15, 4*c + 210 = n. Let q be (-1)/3 + c/(-12). Factor -11*l**3 + l + 0*l**3 - 9*l**2 + 2 - 5*l**q - 2*l**3.
-(l + 1)**3*(5*l - 2)
Let x = 939/5 - 187. Let j(f) be the first derivative of x*f + 3 + 3/5*f**2 + 0*f**3 - 1/10*f**4. Factor j(r).
-2*(r - 2)*(r + 1)**2/5
Let v be (-40)/(-7) + 1*(-14)/(-49). Let x(q) be the second derivative of 0 + 1/60*q**v + 0*q**3 + 0*q**4 + 1/40*q**5 - 2*q + 0*q**2. Factor x(a).
a**3*(a + 1)/2
Let s(p) be the second derivative of -10/9*p**4 + 8/9*p**3 + 1/63*p**7 + 0*p**2 + 0 - 7/45*p**6 + 3/5*p**5 + 2*p. Find j, given that s(j) = 0.
0, 1, 2
Let y(o) = 6*o**3 - 2*o + 1. Let q be y(1). Let r be (q/(-15))/((-2)/12). Let -1/3*s**r + 1/3 + 0*s = 0. Calculate s.
-1, 1
Determine f, given that 1/3*f**2 + 0 + 0*f - 1/3*f**3 = 0.
0, 1
Solve 5*j**3 + 10/3*j + 0 - 5/3*j**5 + 25/3*j**2 - 5/3*j**4 = 0 for j.
-1, 0, 2
Let s(c) = 4*c**2 - 1. Let k be s(-1). Determine i so that k*i - 16*i**2 + 12 - i - 46*i = 0.
-3, 1/4
Let b be 15/(-35)*-1 - (-3)/21. Suppose -b*w**3 + 0 + 0*w**2 + 0*w + 6/7*w**4 = 0. Calculate w.
0, 2/3
Let a(o) be the first derivative of -3*o**4/20 + 6*o**3/5 - 27*o**2/10 + 12*o/5 + 12. Determine w, given that a(w) = 0.
1, 4
Let f(x) = x**2 + 7*x + 8. Let l be f(-6). Factor 0*k + 0*k**2 + 2*k**2 - l*k.
2*k*(k - 1)
Let o(d) be the third derivative of d**6/40 - d**5/20 - d**4/2 + 2*d**3 - 5*d**2. Factor o(m).
3*(m - 2)*(m - 1)*(m + 2)
Let f(a) be the second derivative of a**5/90 - a**4/54 - 33*a. Find t such that f(t) = 0.
0, 1
Let j be 4*(-3 + (-124)/(-40)). Let 2/5 + j*p**2 + 4/5*p = 0. What is p?
-1
Let v = 11/6 + -3/2. Suppose 1/3*w**2 + 0 + 0*w - v*w**3 = 0. Calculate w.
0, 1
Let x(l) be the third derivative of -1/54*l**4 + 1/540*l**6 + 0 - 7*l**2 + 1/270*l**5 + 0*l + 0*l**3. Factor x(t).
2*t*(t - 1)*(t + 2)/9
Let f(r) be the second derivative of r**4/6 - r**2 - 7*r. Factor f(a).
2*(a - 1)*(a + 1)
Factor 0*r + 6/5*r**2 - 3/5*r**3 + 0.
-3*r**2*(r - 2)/5
Let g(d) be the second derivative of 3*d**5/4 - 5*d**4/6 - 5*d**3/2 + 5*d**2 + d. Factor g(t).
5*(t - 1)*(t + 1)*(3*t - 2)
Let u(f) = -f**2 - 3*f + 10. Let p be u(-5). Let q = -369/7 - -53. Factor -q*h**3 + p - 2/7*h + 4/7*h**2.
-2*h*(h - 1)**2/7
Let p(q) be the third derivative of -5/96*q**4 + 0 + 0*q + 2*q**2 - 1/240*q**5 - 1/8*q**3 + 1/480*q**6. Find h such that p(h) = 0.
-1, 3
Factor -2/3*y**3 + 2/3*y + 4/3 - 4/3*y**2.
-2*(y - 1)*(y + 1)*(y + 2)/3
Let t(v) = -5 - 1 + 0 + 2*v. Let o be t(4). Factor 12/5*s**4 + 0 + 9/5*s**3 + 0*s - 3/5*s**o.
3*s**2*(s + 1)*(4*s - 1)/5
Let s(g) = -3*g**2. Let a(d) = 5*d**2 + d. Let b(c) = -3*a(c) - 4*s(c). Factor b(t).
-3*t*(t + 1)
Suppose -16 = -u - u. Suppose 0*v + 6 = r + 5*v, -3*v = r - u. Factor -k**3 - 12*k - k**2 + r*k - k**2.
-k*(k + 1)**2
Let l(i) = i**2 + 8*i - 4. Let j be l(-8). Let b(w) = -w**3 - 5*w**2 - 6*w - 6. Let o be b(j). Find z such that -2 + z**2 + o = 0.
0
Let n(m) be the first derivative of -m**6/30 + m**5/20 + m**4/12 - m**3/6 - 3*m + 3. Let j(q) be the first derivative of n(q). Suppose j(v) = 0. Calculate v.
-1, 0, 1
Let c = 1/14 + -5/42. Let o = c - -3/14. Factor 1/6*k**4 - 1/6*k**3 - o*k**2 + 1/6*k + 0.
k*(k - 1)**2*(k + 1)/6
Let k(h) = -h**2 - h - 9. Let a be k(0). Let d be (-3)/a + (-3)/(-18). Find t, given that 0 + 1/2*t**3 + d*t**2 + 0*t = 0.
-1, 0
Let k(v) be the second derivative of 0 + 3*v - 1/3*v**3 - 1/30*v**5 + 1/6*v**4 + 1/3*v**2. Factor k(o).
-2*(o - 1)**3/3
Let b(a) = 2*a**3 - 2*a**2 + 3*a - 2. Let n be b(2). Let y be ((-1)/(-6))/(n/16). Factor 0*p**3 - y*p**4 - 2/9 + 0*p + 4/9*p**2.
-2*(p - 1)**2*(p + 1)**2/9
Let b(i) = -9*i**2 + 9*i**2 + 10*i**2 + 9*i. Let y(v) = -5*v**2 - 5*v. Let l be (-8)/(-6)*75/10. Let k(p) = l*y(p) + 6*b(p). Factor k(d).
2*d*(5*d + 2)
Let y be 0/((-6)/(12/(-4))) + 4. Factor -y*n - 1/2*n**4 - 3*n**3 - 6*n**2 + 0.
-n*(n + 2)**3/2
Let v(l) be the first derivative of 1 + 1/300*l**5 + 0*l + 1/2*l**2 + 1/60*l**4 + 0*l**3. Let j(y) be the second derivative of v(y). What is d in j(d) = 0?
-2, 0
Let u = 621 - 75143/121. Let f = 117/242 - u. Suppose 0 + 1/2*g**2 + f*g = 0. What is g?
-1, 0
Let c(y) = y**3 - 6*y**2 + 4*y + 5. Let m be c(5). Suppose -2*t + t + 2*r - 4 = m, 5*t + 4*r = 22. Factor 2 - t - 8*n + 32*n**2 + 0*n**3 - 30*n**3.
-2*n*(3*n - 2)*(5*n - 2)
Suppose 4*c + 20 = 4*a, 0*a + 13 = a + c. Suppose -o + a = 2*o. Determine v, given that -2*v**o + 5*v**4 - 3*v**4 + 4*v**3 = 0.
-1, 0
Solve -53*j**3 + 0*j**2 + 0*j**2 + 49*j**3 = 0.
0
Let x(r) be the second derivative of 0 + 2/15*r**4 + 0*r**2 + 1/15*r**3 + 1/105*r**7 + 4/75*r**6 - 5*r + 3/25*r**5. Factor x(q).
2*q*(q + 1)**4/5
Suppose 4*c = -4*p + 24, c = -3*p + 6*c - 14. Factor -10*l + 4*l + 2*l**3 + 4*l**3 - 2*l**p - 15*l**4 + 17*l**2.
-3*l*(l - 1)*(l + 1)*(5*l - 2)
Suppose 4 = -2*w - 6. Let q = -4 - w. Factor -5*i**4 - i**4 + q - 2*i + 5*i**4 + 2*i**3.
-(i - 1)**3*(i + 1)
Let z(p) be the first derivative of -p**6/60 + p**5/10 - p**4/4 + p**3/3 - 4*p**2 - 2. Let g(s) be the second derivative of z(s). Factor g(o).
-2*(o - 1)**3
Let h(p) be the second derivative of -5/6*p**3 + 2*p - 4/3*p**4 + p**2 - 9/20*p**5 + 0. Let h(t) = 0. What is t?
-1, 2/9
Suppose 0*q = -3*q + 4*t - 14, 2*q + 3*t = 19. Suppose 4*d - 4*g = 12, 0*d + 2*d + q*g = 2. Suppose 4/7*w + 0 - 2/7*w**d = 0. What is w?
0, 2
Let w = -15/4 - -4. Suppose w*b**4 + b**3 + 0 + b**2 + 0*b = 0. What is b?
-2, 0
Let j(i) be the third derivative of -1/672*i**8 + 0*i + 0*i**3 + 1/120*i**5 - 2*i**2 + 0*i**4 + 1/140*i**7 - 1/80*i**6 + 0. Find b such that j(b) = 0.
0, 1
Determine t so that -13*t**3 + 8*t**3 + t**3 = 0.
0
Let i(z) be the first derivative of -z**4/18 - 8*z**3/27 + 5*z**2/9 + 41. Factor i(t).
-2*t*(t - 1)*(t + 5)/9
Let o = -63524/31 - -42252636/20615. Let w = 12/95 + o. Solve 2/7 - 6/7*q**2 + w*q = 0.
-1/3, 1
Let o(z) be the first derivative of -5/7*z**2 - 1 + 2/3*z**3 - 4/7*z. Factor o(m).
2*(m - 1)*(7*m + 2)/7
Let z(n) be the first derivative of -2/3*n**3 + 0*n**2 + 2/5*n**5 + 1 + 0*n + 1/2*n**4 - 1/3*n**6. Find f, given that z(f) = 0.
-1, 0, 1
Solve -16 + 5*u**2 - 6*u - 8*u**2 + u**2 - 6*u = 0.
-4, -2
Let h = -65 - -69. Let v(y) be the first derivative of -1/12*y**6 + 0*y**h + 1/5*y**5 - 1/3*y**3 - 1 + 0*y + 1/4*y**2. Factor v(l).
-l*(l - 1)**3*(l + 1)/2
Let m(p) be the first derivative of p**7/1680 - 2*p**3/3 + 2. Let o(l) be the third derivative of m(l). Factor o(w).
w**3/2
Let d be -1 - (0 + (-9)/6). Let x(v) be the second derivative of -1/3*v**3 + 0*v**2 + 2/5*v**5 + d*v**4 - v + 0. Factor x(o).
2*o*(o + 1)*(4*o - 1)
Let h be -1 - 9 - (-5 + 4). Let q(d) = -5*d**4 + 8*d**3 - 10*d**2 + 3. Let y(b) = 11*b**4 - 17*b**3 + 21*b**2 + b - 7. Let m(k) = h*q(k) - 4*y(k). Factor m(l).
(l - 1)**4
Let s(h) be the third derivative of -1/6*h**4 + 1/30*h**5 + 0*h**3 + 0 + 0*h - h**2. Suppose s(q) = 0. What is q?
0, 2
Let x(h) be the second derivative of -h**6/120 + h**5/60 - h**2 + 2*h. Let v(a) be the first derivative of x(a). Factor v(j).
-j**2*(j - 1)
Let p be