*2 + 4*g**3 + 2 = 0.
-1, 1/2, 1
Suppose 32*o = 31*o. Determine x so that 12/5*x**4 + 27/5*x**3 + o + 18/5*x**2 + 3/5*x = 0.
-1, -1/4, 0
Let g be (-1)/(1 - 0) + 1. Let u(f) = -f**3 - f**2. Let i be u(g). What is d in 0*d**2 + 0 - 1/2*d**5 + i*d**3 + 0*d + 1/2*d**4 = 0?
0, 1
Suppose -53*p + 4 = 4. Solve 2/3*y**2 + p + 0*y - 3*y**4 + 7/3*y**3 = 0.
-2/9, 0, 1
Suppose -3*f - 3*t = 48, -3 - 3 = -3*t. Let p be 24/f*3/(-18). Solve 0 - 2/9*a + 2/9*a**2 + p*a**3 - 2/9*a**4 = 0.
-1, 0, 1
Let m(b) be the third derivative of -b**8/6720 + b**7/280 - 3*b**6/80 + b**5/20 - 4*b**2. Let y(h) be the third derivative of m(h). Factor y(a).
-3*(a - 3)**2
Let v(i) = -i - 3. Let c be v(-5). Factor 6*n**c + 1 - 2*n - 6 + 3*n**3 - n - 1.
3*(n - 1)*(n + 1)*(n + 2)
Solve -5*z**5 + 40*z - 26*z**3 - 35*z**4 + 45 - 10*z**2 + 35*z - 44*z**3 = 0 for z.
-3, -1, 1
Let k(t) be the second derivative of -t**7/42 - t**6/30 + t**5/10 + t**4/6 - t**3/6 - t**2/2 - 3*t. Let k(b) = 0. Calculate b.
-1, 1
Let p(l) be the third derivative of 1/720*l**6 + 1/144*l**4 + 0 + 0*l**3 - 1/180*l**5 - 2*l**2 + 0*l. Find z such that p(z) = 0.
0, 1
Let z = 11 + -8. Suppose -4*i**2 + z*i**2 + 0*i**3 - i**2 - i**3 - i = 0. Calculate i.
-1, 0
Suppose -12 = -u - 3*l, -3*u - 4*l = -4*u - 9. Factor 4*p**2 + 4*p**2 - 3*p - u*p**5 + 6*p**3 - 3 - 3*p**4 - 2*p**2.
-3*(p - 1)**2*(p + 1)**3
Let z(b) be the third derivative of -b**8/168 + 4*b**7/105 - b**6/20 - 9*b**2. Solve z(o) = 0 for o.
0, 1, 3
Let w be 1*(-1 - 0/(-4)). Let u = 1 + w. Factor -2/9*m**4 + u + 0*m + 2/9*m**2 + 0*m**3.
-2*m**2*(m - 1)*(m + 1)/9
Suppose 1 + 16*k**3 - 5*k**3 - 2*k - 1 - 10*k**4 + k**2 = 0. What is k?
-2/5, 0, 1/2, 1
Factor 3/5*s**5 - 6/5*s**2 + 6/5*s**3 - 9/5*s + 9/5*s**4 - 3/5.
3*(s - 1)*(s + 1)**4/5
Let v = 983 - 1425. Let a = v + 905/2. Solve 0 + a*k**4 - k - 11/2*k**2 - 4*k**3 = 0 for k.
-1/3, -2/7, 0, 1
Suppose -14*t - 3*t = 0. Let t*q - 8/5 + 2/5*q**2 = 0. Calculate q.
-2, 2
Suppose 3*r - 8 = 5*y, 0*r + 3*y = -3*r. Let d be (9 - 9)*r/(-1). Find h, given that 1/4*h**3 + 0*h + 1/4*h**2 + d = 0.
-1, 0
Let z(i) = -i**3 - 4*i**2 + 3*i - 7. Let j be z(-5). What is g in 2*g**4 - g**2 - 2*g**2 + g**4 - 4*g**3 + 3*g**5 + g**j = 0?
-1, 0, 1
Let h be (-3 - 1)*1/2. Let p be h/20*72/(-18). Find m, given that 0 + 0*m**2 - 2/5*m + p*m**3 = 0.
-1, 0, 1
Let i(h) = 13*h**4 + 40*h**3 + 26*h**2 + 4*h + 5. Let b(u) = 20*u**4 + 60*u**3 + 39*u**2 + 6*u + 7. Let g(s) = 5*b(s) - 7*i(s). Factor g(d).
d*(d + 1)**2*(9*d + 2)
Factor 3*z**4 + z**5 + 7*z**4 + 0*z**4 + 8*z**3 + z**5.
2*z**3*(z + 1)*(z + 4)
Let b(g) be the first derivative of -g**5/20 - g**4/4 - 5*g**3/12 - g**2/4 - 29. Factor b(f).
-f*(f + 1)**2*(f + 2)/4
Let o(p) be the second derivative of -p**7/36 + p**6/20 - p**5/60 - p. Factor o(u).
-u**3*(u - 1)*(7*u - 2)/6
Let v(b) = 5*b**2 + 10*b. Let g(j) = -6*j**2 - 11*j. Let u(z) = 4*g(z) + 5*v(z). Let i be u(-6). Factor 0 - 2/5*h**2 + i*h.
-2*h**2/5
Let v be 6*(1826/297 - 6). Factor -2/9*x + 0 + 2/3*x**2 + v*x**3.
2*x*(x + 1)*(4*x - 1)/9
Let y(l) = -7*l**3 - 7*l**2 + 7*l + 7. Let o(x) = x**3 + x**2 - x - 1. Let q(n) = -3*o(n) - y(n). Find c, given that q(c) = 0.
-1, 1
Let m(j) be the third derivative of -2*j**7/945 + j**6/108 - j**5/90 - j**4/108 + j**3/27 - 15*j**2. Factor m(n).
-2*(n - 1)**3*(2*n + 1)/9
Let f = 178 - 709/4. Suppose 4*l - 9 = l. Let f*b**2 + 1/4 - 1/4*b**l - 3/4*b = 0. What is b?
1
Suppose 0 = 5*v - 3*f - 7, -9*v = -4*v - 4*f - 6. Factor 0 - 6/7*w**v - 4/7*w.
-2*w*(3*w + 2)/7
Suppose -18*l = -24*l + 24. Determine s so that 0 + 0*s + 0*s**2 - 2/5*s**l - 2/5*s**3 = 0.
-1, 0
Suppose -2*c + 5*f - 5 = 3*c, 3*c - 4*f + 8 = 0. Let s(i) be the first derivative of 0*i**3 - 2/9*i**2 + 1/9*i**c - 2 - 2/9*i + 2/45*i**5. Factor s(z).
2*(z - 1)*(z + 1)**3/9
Factor 5*w**3 + 108 + 10*w**2 - 55 - 53.
5*w**2*(w + 2)
Suppose 2*a + 3*w = 0, 2*w = -0*a - 5*a. Factor -1/2*y + a - 1/2*y**2.
-y*(y + 1)/2
Let w(h) = 2*h**4 - 3*h**3 + 3*h**2 - 7*h. Let k(s) = s**3 - s**2 + s. Let d(c) = 5*k(c) + w(c). Factor d(j).
2*j*(j - 1)*(j + 1)**2
Let f(u) be the third derivative of -u**7/210 + u**6/24 - u**5/15 + 32*u**2. Suppose f(g) = 0. Calculate g.
0, 1, 4
Let g = -2/37 - -115/74. Factor 0*s - g*s**2 - 15/2*s**3 + 0 - 6*s**4.
-3*s**2*(s + 1)*(4*s + 1)/2
Let z(y) be the first derivative of y**5/2 + 25*y**4/8 + 5*y**3 - 5*y**2 - 20*y - 24. Factor z(q).
5*(q - 1)*(q + 2)**3/2
Let s(w) be the third derivative of -1/96*w**4 + 0*w - 1/480*w**6 - 3*w**2 + 0*w**3 + 0 - 1/120*w**5. Factor s(h).
-h*(h + 1)**2/4
Let z = -627/2 + 1259/4. Factor -3/4*q**3 + 0 - z*q**2 + 1/4*q**5 + 1/4*q**4 - 1/2*q.
q*(q - 2)*(q + 1)**3/4
Suppose 0 = -p - p. Let m(w) = 3*w + 40. Let l be m(-12). Suppose 0*d**2 + 2/3*d + 0 - 4/3*d**3 + 2/3*d**5 + p*d**l = 0. What is d?
-1, 0, 1
Let b be (-4)/6*-3 - 0. What is w in 3*w**4 - 5*w**2 - 4*w**4 - 6*w**3 + b*w**3 - 2*w = 0?
-2, -1, 0
Let a be 16/(-18)*(-3)/4. Let x be (-8)/(-6) + 3 + -3. Factor a*t - x + 2/3*t**2.
2*(t - 1)*(t + 2)/3
Let f be (-6)/24 + 62/(-8). Let v be (f/28)/(2/(-14)). Factor -1/4*c**v - 1/4 - 1/2*c.
-(c + 1)**2/4
Let y(s) = s**2 - 8*s - 125. Let d be y(16). Solve 4/9*g**2 + 2/9*g + 2/9*g**5 - 2/9*g**4 - 2/9 - 4/9*g**d = 0.
-1, 1
Let u(p) be the second derivative of 8*p**6 + 54*p**5/5 + 17*p**4/3 + 41*p**3/27 + 2*p**2/9 - 4*p. Factor u(n).
2*(5*n + 2)*(6*n + 1)**3/9
Let j = -2803/33 + 85. Let n(u) be the first derivative of -j*u**3 + 2 - 8/11*u - 4/11*u**2. Suppose n(q) = 0. What is q?
-2
Let y(d) = -2*d + 3. Let o be y(4). Let i be 2/o + (-78)/(-120). Factor -1/4*j**3 - 1/4 + 1/4*j + i*j**2.
-(j - 1)**2*(j + 1)/4
Factor 3/2*m**3 - m + 0 - 1/2*m**2.
m*(m - 1)*(3*m + 2)/2
Suppose 4*w + 6 = 3*w. Let p(g) = g**2 + 6*g + 2. Let j be p(w). Determine r, given that 1 + 3 - 3*r**2 - 4*r + 5*r**2 - j*r = 0.
1, 2
Let w(r) be the first derivative of r**6/18 + r**5/15 - r**4/6 - 2*r**3/9 + r**2/6 + r/3 + 1. Suppose w(x) = 0. What is x?
-1, 1
Let m(k) be the second derivative of -k**8/84 - k**7/14 - k**6/10 + k**5/15 - 3*k**2 + 6*k. Let c(x) be the first derivative of m(x). Find g such that c(g) = 0.
-2, 0, 1/4
Let h(i) be the third derivative of 5*i**8/336 + i**7/42 - i**6/8 - 5*i**5/12 - 5*i**4/12 + 14*i**2. Find k, given that h(k) = 0.
-1, 0, 2
Let r(m) be the third derivative of 17/20*m**5 - 1/4*m**4 + 0*m + 0*m**3 - 6/5*m**6 - 5/28*m**8 + 3*m**2 + 53/70*m**7 + 0. Let r(v) = 0. What is v?
0, 1/4, 2/5, 1
Let m be (2 - (-1 - -1)) + (2 - 2). Let u(x) be the first derivative of -1/4*x**3 + 3/8*x**m + 2 + 0*x. Determine l, given that u(l) = 0.
0, 1
Let x(b) be the second derivative of 1/6*b**4 + 1/3*b**3 + 0 - 2*b + 0*b**2. Factor x(t).
2*t*(t + 1)
Let m = 772/33 - 184/11. Let z(g) be the first derivative of -8/3*g + m*g**2 + 1 - 50/9*g**3. Let z(d) = 0. Calculate d.
2/5
Suppose 0*k - 3*h - 2 = 5*k, -k = 5*h + 18. Factor -2*b**2 + 2*b**2 - b**2 + k + b.
-(b - 2)*(b + 1)
Let t be ((-54)/12)/((-27)/12). Find s such that -6/13*s - 2/13*s**t - 4/13 = 0.
-2, -1
Let a(z) be the first derivative of -3*z**4 - 32*z**3/3 - 8*z**2 + 4. Factor a(d).
-4*d*(d + 2)*(3*d + 2)
Solve 6/7*i**3 + 2/7*i**5 + 8/7*i**2 - 8/7*i**4 + 0 - 8/7*i = 0 for i.
-1, 0, 1, 2
Let w(z) be the second derivative of -1/20*z**5 + 1/8*z**4 + 0*z**3 + 0 + 4*z - z**2. Let d(v) be the first derivative of w(v). Solve d(l) = 0 for l.
0, 1
Let d(n) be the third derivative of -n**5/24 + 5*n**4/12 + 25*n**3/12 - 11*n**2 - 4*n. Factor d(k).
-5*(k - 5)*(k + 1)/2
Let d(a) = -a**4 + a**3 + 1. Let u(n) = 2*n**4 + n**3 - 2*n - 2. Let q(b) = -d(b) - u(b). Let q(o) = 0. Calculate o.
-1, 1
Suppose -40 + 20 = -4*o. Suppose r + 5*g = -3, o*r = -g + 1 + 8. Solve 0 - 4/5*t - 2/5*t**r = 0 for t.
-2, 0
Let h = 2566/7 - 366. Factor h + 2/7*m**2 - 6/7*m.
2*(m - 2)*(m - 1)/7
Let x(z) be the second derivative of z**6/2520 - z**5/280 + 7*z**3/6 - 6*z. Let n(k) be the second derivative of x(k). Suppose n(b) = 0. Calculate b.
0, 3
What is n in 2/7*n**3 - 6/7*n + 0 + 4/7*n**2 = 0?
-3, 0, 1
Suppose 0 = d - 2*d + 2. Let r(v) be the third derivative of 1/90*v**5 - 1/27*v**3 + 0*v**4 - v**d + 0*v - 1/270*v**6 + 0. Factor r(u).
-2*(u - 1)**2*(2*u + 1)/9
Let x be 172/(-36) - -3 - -2. Let p(r) be the first derivative of -x*r - 2 - 2/9*r**2 - 2/27*r**3. Factor p(d).
-2*(d + 1)**2/9
Find j, given that -1/3*j**5 - 5/3