 5*b**p + 4*b + 0*b**g + b**5 + 12*b**2 = 0.
-2, -1, 0
Suppose 4*c + 8 = -0*c. Let d = c - -4. Factor d*y**3 + y - 2*y + 3*y - 4*y**3.
-2*y*(y - 1)*(y + 1)
Let s = -178 + 253. Suppose 4*k - s + 3 = 0. Determine w, given that 18*w**2 - k*w**3 + 2/3 - 6*w = 0.
1/3
Let f(q) be the third derivative of -2*q**7/105 - q**6/15 - q**5/15 - 8*q**2. Find v such that f(v) = 0.
-1, 0
Solve -4/9*z**3 + 8/9*z**2 - 2/9*z**5 + 0 - 8/9*z**4 + 2/3*z = 0 for z.
-3, -1, 0, 1
Let g = 2915/123 - 4/123. Let s = g - 23. Factor 8/3 + 8/3*n + s*n**2.
2*(n + 2)**2/3
Suppose -r + 0 - 5 = 0. Let z(i) = 12*i + 6. Let a(s) = -s**2 - 23*s - 12. Let v(g) = r*z(g) - 3*a(g). Factor v(l).
3*(l + 1)*(l + 2)
Let d be (35/21)/(2/6). Find y such that -5*y + 3*y + 8 - d*y**2 - 4 + 3*y**2 = 0.
-2, 1
Suppose -792 = 10*m - 822. Factor -2/3*x**m + 0 + 0*x**2 - 1/3*x**4 + 1/3*x**5 + 0*x.
x**3*(x - 2)*(x + 1)/3
Let j(y) = -5*y**4 - 5*y**3 + 6*y**2 + 2*y + 2. Let s(f) = -6*f**4 - 6*f**3 + 6*f**2 + 3*f + 3. Let a(z) = 3*j(z) - 2*s(z). Find c such that a(c) = 0.
-2, 0, 1
Solve 4*u**3 - 2*u + 91*u**2 - 75*u**2 + 8 + 22*u = 0 for u.
-2, -1
Let r(y) be the first derivative of y**4/8 - 3*y**2/4 + y - 18. Factor r(b).
(b - 1)**2*(b + 2)/2
Let -3/4 + 1/2*l + 1/4*l**2 = 0. Calculate l.
-3, 1
Let i = 35/37 + -1329/740. Let a = -1/4 - i. Let -a*k**2 + 3/5*k + 1/5*k**3 - 1/5 = 0. Calculate k.
1
Suppose 2*k - 7*j + 2*j + 40 = 0, -k + 5*j = 20. Let d = 20 + k. Let 0 - 2/7*y**5 + 0*y**2 + d*y**4 - 2/7*y + 4/7*y**3 = 0. What is y?
-1, 0, 1
Factor 16/3*c + 10*c**2 + 50/9*c**3 + 8/9.
2*(c + 1)*(5*c + 2)**2/9
Let y = 611 - 609. Let 0 + 3/2*u**3 - 3*u - 3/2*u**y = 0. What is u?
-1, 0, 2
Let x(r) be the second derivative of -r**6/75 + r**5/25 - 2*r**3/15 + r**2/5 - 13*r. Factor x(t).
-2*(t - 1)**3*(t + 1)/5
Let b(i) be the third derivative of i**2 - 1/15*i**6 + 0 + 1/105*i**7 + 0*i**3 + 0*i + 1/6*i**5 - 1/6*i**4. Factor b(k).
2*k*(k - 2)*(k - 1)**2
Let i be (-18)/(-30) - 2/(-5). Let f be (3/i)/((-3)/(-2)). Factor 2*d**2 + 2*d + 0*d**2 + 2*d**f + 2*d**3.
2*d*(d + 1)**2
Let s be ((-8)/14)/((-6)/(-2745)). Let b = s + 262. What is p in -2/7*p**2 - b - 6/7*p = 0?
-2, -1
Suppose 0 + 1/2*c - 3/4*c**3 - 1/4*c**2 + 1/4*c**4 + 1/4*c**5 = 0. Calculate c.
-2, -1, 0, 1
Let -3/4*h**3 + 0 - 9/4*h**4 + 9/4*h**2 + 3/4*h = 0. What is h?
-1, -1/3, 0, 1
Let u(s) be the third derivative of 15/224*s**8 - 6*s**2 + 0 + 1/10*s**7 + 0*s**4 + 0*s**3 + 0*s - 1/60*s**6 - 1/15*s**5. Factor u(h).
h**2*(3*h + 2)**2*(5*h - 2)/2
Let j = 1708 - 18786/11. Suppose -12/11*y**3 + 8/11*y**2 + 0 - j*y + 8/11*y**4 - 2/11*y**5 = 0. Calculate y.
0, 1
Let y(q) = q**3 - 5*q**2 + 6*q - 6. Let k be y(4). Find z, given that 4*z**4 - 3*z**k + 9*z**2 - 10*z**2 = 0.
-1, 0, 1
Let p(l) = 2*l**3 - 7*l. Let q(t) = t**3 - 3*t. Let b(d) = 2*p(d) - 5*q(d). What is y in b(y) = 0?
-1, 0, 1
Let z be (1*-1)/(6/(-18)). Suppose -4*q + 20 = z*d, -3*q = -3*d + q - 20. Solve 2/7*h**3 + d*h + 4/7*h**4 + 0*h**2 + 2/7*h**5 + 0 = 0.
-1, 0
Let z(r) = -r**2 - 5*r - 4. Let y be z(-5). Let j be (-88)/(-14) + y/14. Determine k so that -2*k**5 + 2*k - 4*k**4 + j*k**2 - 2*k**2 + 0*k**2 = 0.
-1, 0, 1
Let t(h) be the third derivative of -7*h**6/120 + h**5/5 - 2*h**3/3 - 2*h**2. Let a(s) = -s - 1. Let k(f) = -4*a(f) + t(f). Factor k(g).
-g*(g - 2)*(7*g + 2)
Let v(h) = h**2 + 15*h + 16. Let i be v(-14). Factor -3/4*j**i + 3/2 - 3/4*j.
-3*(j - 1)*(j + 2)/4
Suppose 0 = 8*l - l - 21. Let m(n) be the second derivative of 1/105*n**6 + 3*n - 2/35*n**5 - 4/21*n**l + 0 + 1/7*n**2 + 1/7*n**4. Find q such that m(q) = 0.
1
Let d = -793 - -1531/2. Let v = 28 + d. Factor -2 - v*m**2 + 2*m.
-(m - 2)**2/2
Let q(k) be the third derivative of 0*k**3 - 1/24*k**4 + 0*k + 0 - 1/120*k**5 - 4*k**2. Factor q(j).
-j*(j + 2)/2
Let o(i) be the third derivative of -2*i**2 - 1/11*i**4 + 0 + 0*i + 3/110*i**5 + 4/33*i**3 - 1/330*i**6. What is r in o(r) = 0?
1/2, 2
Let v be 284/11 + 4/22. Let m = 132/5 - v. Solve 0 - 2/5*a**2 + m*a = 0 for a.
0, 1
Find g, given that -5*g**2 - 4*g - 11*g - 5*g**4 - 6 + 15*g**3 + 16 = 0.
-1, 1, 2
Let b(y) be the first derivative of -2 + y + 1/12*y**3 - 1/2*y**2. Factor b(m).
(m - 2)**2/4
Let m(p) be the third derivative of p**6/480 + p**5/120 - p**4/96 - p**3/12 + 4*p**2. Suppose m(y) = 0. What is y?
-2, -1, 1
Let t(m) be the first derivative of -m**4/10 - 2*m**3/5 - 2*m**2/5 - 1. What is s in t(s) = 0?
-2, -1, 0
Let g be (-1 - 28/(-30))/((-14)/21). Let u(a) be the first derivative of 3 + 0*a**2 + 0*a - g*a**5 + 0*a**3 - 1/8*a**4. Suppose u(w) = 0. Calculate w.
-1, 0
Determine b so that 2/3*b**2 - 8/3 - 2*b = 0.
-1, 4
Let k be (2 - 3/1)*1. Let b(a) = -4*a**3. Let c be b(k). Factor -2/3*q**2 + 0 + 2/3*q**c + 0*q + 0*q**3.
2*q**2*(q - 1)*(q + 1)/3
What is h in 5*h**3 - 4*h**3 - h**2 - 3*h**2 + 9*h - 2*h**2 - 4 = 0?
1, 4
Suppose 2/9*f**4 - 2/9*f**2 - 2/9*f + 2/9*f**3 + 0 = 0. Calculate f.
-1, 0, 1
Let w(x) be the first derivative of -x**4/2 - 2*x**3/3 + 2. Find a such that w(a) = 0.
-1, 0
Let r(d) = -5*d**4 - 4*d**3 + 7*d - 1. Let f(n) = -29*n**4 - 24*n**3 + 41*n - 5. Let c(z) = 6*f(z) - 34*r(z). Determine j so that c(j) = 0.
-1, 1
Factor -2/17*j**3 - 6/17*j**2 - 4/17*j + 0.
-2*j*(j + 1)*(j + 2)/17
Suppose -104 = 3*n - 110. Factor -18/13*r**3 + 4/13 - 32/13*r**n - 10/13*r.
-2*(r + 1)**2*(9*r - 2)/13
Let w(s) be the second derivative of s**4/3 - 4*s**3/3 + 9*s. Suppose w(t) = 0. What is t?
0, 2
Let a(h) = 3*h**4 + 59*h**3 + 181*h**2 + 197*h + 72. Let c(j) = -5*j**4 - 89*j**3 - 271*j**2 - 295*j - 108. Let m(o) = 7*a(o) + 5*c(o). Factor m(f).
-4*(f + 1)**2*(f + 3)**2
Let x(a) = a**3 + 3*a**2 + a + 3. Let g(w) = -2*w**3 - 3*w**2 + 6*w**2 + 3*w**3 + 4. Let b(q) = 2*g(q) - 3*x(q). What is j in b(j) = 0?
-1
Let v(u) be the second derivative of -2/3*u**6 - 4*u**2 - 3*u - 22/3*u**3 + 0 - 17/5*u**5 - 7*u**4. Factor v(p).
-4*(p + 1)**3*(5*p + 2)
Let v(i) = -i**2 - 2*i + 2. Let y be v(-2). Let j be ((-8)/(-72))/(y/12). Factor 0 + 2/3*x**2 + j*x.
2*x*(x + 1)/3
Let a(w) be the second derivative of 3*w + 0 + 0*w**3 - 1/6*w**4 + w**2. Factor a(b).
-2*(b - 1)*(b + 1)
Let g = 5 + -5. Suppose 2*w + 3*w = g. Factor -s + 1/2 + w*s**2 + s**3 - 1/2*s**4.
-(s - 1)**3*(s + 1)/2
Suppose -2*q - 3*q - j = -28, -25 = -2*q - 5*j. Suppose 3 - 3 + 2*z**4 + z**5 + z**q - 2*z**3 - 2*z**2 = 0. Calculate z.
-1, 0, 1
Let k be 2 + (-22)/6 + 73 + -70. Solve 38/9*w + 14/9*w**2 - k = 0 for w.
-3, 2/7
Let u(w) be the third derivative of w**6/60 + 2*w**5/15 + 5*w**4/12 + 2*w**3/3 + 3*w**2. Factor u(t).
2*(t + 1)**2*(t + 2)
Let -1/3*s**5 - 2/3*s**2 + 0*s + 2/3*s**4 + 0 + 1/3*s**3 = 0. Calculate s.
-1, 0, 1, 2
Let a(r) be the first derivative of r**4 + 4*r**3/3 - 10*r**2 + 12*r + 13. Suppose a(j) = 0. Calculate j.
-3, 1
Let r(a) = -2*a**3 - 8*a**2 + 7*a - 6. Let b(i) = 3*i**3 + 9*i**2 - 7*i + 7. Let n(d) = -3*b(d) - 4*r(d). Factor n(u).
-(u - 3)*(u - 1)**2
Let a(q) be the second derivative of -3*q**5/100 - q**4/10 + q + 1. Suppose a(o) = 0. Calculate o.
-2, 0
Suppose 17 = 3*p - 1. Suppose y - p*y + 3*r = -19, -2*r = 4*y - 2. Factor -6 + 4*j**2 + 6 - 8*j**y - 2*j**3 - 2*j.
-2*j*(j + 1)**2
Let c be (6/5)/((-12)/(-40)). Suppose 2 + 4*f + 13*f**4 + 0*f**2 - 15*f**4 - c*f**3 + 0*f**2 = 0. Calculate f.
-1, 1
Let o(v) be the third derivative of 0*v**5 + 1/12*v**4 + 0*v**3 - 1/30*v**6 - 3*v**2 + 0 + 0*v + 1/168*v**8 + 0*v**7. Solve o(r) = 0 for r.
-1, 0, 1
Suppose 0*q + q = 2. Let n(m) be the second derivative of 0 - m**q + 2*m + 1/6*m**4 + 0*m**3. Factor n(s).
2*(s - 1)*(s + 1)
Let d(u) be the first derivative of -u**4/22 - 2*u**3/33 + u**2/11 + 2*u/11 + 3. Let d(v) = 0. Calculate v.
-1, 1
Let y(w) = 6*w**3 + w**2 - 1. Let q be y(1). Solve -11*u**2 - q*u + 6*u + 7*u**2 - 2*u**3 = 0.
-2, 0
Suppose 2*h + 0*h - 3*b = 45, 4*b = 20. Suppose -2*y - 21 = -5*q, y = -4*y - 4*q + h. Let 0*a**3 + a**3 - a**y - a**4 - 3*a**3 = 0. What is a?
-1, 0
Suppose 4*a = 0, 0*k + a = 3*k - 6. Solve -2*d - d**5 - 4*d**3 - d**k - d**2 - d + 2*d**4 + 8*d**3 = 0 for d.
-1, 0, 1, 3
Factor 0*b + 0 - 1/5*b**5 + 1/5*b**4 + 3/5*b**2 + b**3.
-b**2*(b - 3)*(b + 1)**2/5
Let m(t) = -3*t**5 - 4*t**4 + 4*t**2 - 2*t - 5. Let c(s) = -2*s**5 - 4*s**4 + 4*s**2 - 2*s - 4. Let q(w) = 5*c(w) - 4*m(w). Let q(b) = 0. Calculate b.
-1, 0, 1
Let v(d) = d + 16. Let z be v(14). Let x = 33 - z