q) = q**2 + q. Let b be p(0). Suppose b + 0*y - 2/5*y**3 + 2/5*y**g = 0. What is y?
0, 1
Let i(j) = j**2 + 2*j - 1. Let w be i(-3). Let 0 + 15 - 4*n**w + 8*n**2 - 16*n + 1 = 0. Calculate n.
2
Let x(f) = -16*f**2 + 8*f - 3. Suppose 0 = -5*g + 3*g - 54. Let o(y) = 17*y - 9 + 15 - 74*y + 111*y**2 + 15. Let k(m) = g*x(m) - 4*o(m). Factor k(i).
-3*(2*i - 1)**2
Let c(l) = -25*l**4 + 300*l**3 - 300*l**2 + 40*l + 40. Let y(z) = -2*z**4 + 23*z**3 - 23*z**2 + 3*z + 3. Let o(f) = 3*c(f) - 40*y(f). What is j in o(j) = 0?
0, 2
Let i be 1*5/((-15)/18). Let w be (3 + 21/i)*-4. Factor -w*q**2 + 3/2*q + 1/2.
-(q - 1)*(4*q + 1)/2
Suppose 2*c - 4*r = -12, 4*r = 2*c + 6*r - 12. Let x = c - 2. Determine m, given that x*m**2 - 1 + 0*m**2 + m**2 = 0.
-1, 1
Factor -2 - 2*t + 636*t**2 - 3*t**4 - 632*t**2 - 2*t**4 + 4*t**3 - 2*t**5 + 3*t**4.
-2*(t - 1)**2*(t + 1)**3
Let z be 581/(9/(-3) - -4). Let d = z - 2891/5. Solve 2*u**3 + 4/5 + d*u + 18/5*u**2 + 2/5*u**4 = 0 for u.
-2, -1
Let p(q) = q**5 - 2*q**4 - 8*q**3 + 9*q**2 - 7. Let b(w) = -w**5 + 2*w**4 + 7*w**3 - 8*w**2 + 6. Let c(d) = 7*b(d) + 6*p(d). Factor c(l).
-l**2*(l - 2)*(l - 1)*(l + 1)
Let o(s) be the first derivative of 2*s**5/45 - 2*s**3/27 - 38. Factor o(k).
2*k**2*(k - 1)*(k + 1)/9
Let h = -14155/658 - -4/329. Let i = h + 22. Factor 0 + 0*u + i*u**3 + 0*u**2 - 1/2*u**4.
-u**3*(u - 1)/2
Let n(b) = b**3 - b**2 + 1. Let h(t) = -10*t**3 + 16*t**2 - 6*t - 9. Let y(z) = -4*h(z) - 36*n(z). Suppose y(o) = 0. What is o?
0, 1, 6
Let s(g) = -8*g**2 + 14*g - 18. Let h(p) = -p**2 + p - 2. Let w(j) = -6*h(j) + s(j). Factor w(l).
-2*(l - 3)*(l - 1)
Let b = 167 - 1001/6. Let c(y) be the first derivative of 1/18*y**6 - 2/9*y**3 + 0*y**4 + 0*y - 4 - b*y**2 + 2/15*y**5. Factor c(h).
h*(h - 1)*(h + 1)**3/3
Suppose -43*t + 4 = -42*t. Suppose -t*l**4 - 6*l**3 - 1/4 - 1/4*l**2 + 3/2*l = 0. What is l?
-1, 1/4
Factor s + 302*s**3 - 4*s**2 + 4*s - 301*s**3 - 2*s.
s*(s - 3)*(s - 1)
Let i(y) be the third derivative of -y**8/1008 + y**7/126 - y**6/36 + y**5/18 - 5*y**4/72 + y**3/18 + 4*y**2. Let i(z) = 0. What is z?
1
Let c be -3 + 2 - 143/(-121). Factor 2/11*m**4 - 2/11*m + c*m**3 - 2/11*m**2 + 0.
2*m*(m - 1)*(m + 1)**2/11
Suppose 20*z - 25*z = -100. Let s be z/(-50)*(-15)/8. Determine l so that 3*l**2 + 0 - 9/4*l**3 - l + s*l**5 - 1/2*l**4 = 0.
-2, 0, 2/3, 1
Let u(k) = k**2 - 7*k + 5. Let x be u(7). Suppose 5*b - 30 = x. Let b*i**2 - 2*i**2 - 3*i + i = 0. What is i?
0, 2/5
Suppose 0 = -5*h - 25, -4*h - 12 = 2*r + 4. Suppose -r*g = g - 9. Factor a**5 + 4*a**2 + 2*a**3 - a**4 - 3*a**2 - 3*a**g.
a**2*(a - 1)**2*(a + 1)
Let t(p) be the first derivative of p**3/6 + 11. What is c in t(c) = 0?
0
Find u, given that -2*u**2 + u**2 - 2*u**2 = 0.
0
Let g(b) be the first derivative of 2*b**4 - 7 + 0*b + 2/5*b**5 + 8/3*b**3 + 0*b**2. Let g(u) = 0. What is u?
-2, 0
Suppose 4/3*l + 2/3*l**2 - 2/3 - 4/3*l**3 = 0. What is l?
-1, 1/2, 1
Let p be ((-8)/(-6))/(12/18). Suppose 0 = p*d - 0 - 4. Let 176/9*m**d - 160/9*m + 128/9*m**3 - 190/9*m**4 + 50/9*m**5 + 32/9 = 0. What is m?
-1, 2/5, 2
Let 0*l**5 - 2*l**2 + 4*l + 2*l**4 - 5*l + l**5 = 0. What is l?
-1, 0, 1
Let f(g) be the second derivative of 0 - 1/60*g**4 + 0*g**2 + 0*g**3 + 2*g. What is s in f(s) = 0?
0
Suppose n = -0*n + 3. Let y = 23 + -20. Factor -7*c**3 + c**2 + 3*c**3 + n*c**y + 0*c**2.
-c**2*(c - 1)
Find h, given that -4*h**4 + 0 + 0 + 4*h**2 + 4*h**3 - 3*h**5 - h**5 = 0.
-1, 0, 1
Let r(p) be the first derivative of -2*p**3/39 + p**2/13 + 4*p/13 - 29. Factor r(l).
-2*(l - 2)*(l + 1)/13
Let r = -20 + 30. Suppose 0 = -r*t + 5*t - 20. Let z(g) = -5*g**3 + 2*g**2 + 4*g. Let h(k) = -6*k**3 + 2*k**2 + 5*k. Let c(u) = t*h(u) + 5*z(u). Factor c(f).
-f**2*(f - 2)
Let b be 26/91 + (-16)/(-42). Factor -2/3 + 4/3*d - b*d**2.
-2*(d - 1)**2/3
Let o(u) be the second derivative of u**6/6 - u**5/2 - 5*u**4/12 + 5*u**3/3 - 20*u. Factor o(w).
5*w*(w - 2)*(w - 1)*(w + 1)
Let k be (2 - 2)*2/(-4). Suppose k = -x + 5*x. Factor 1 + q**2 + x + 0*q**2 + 2*q.
(q + 1)**2
Let k(f) be the first derivative of 2*f**3/3 + 6*f**2 - 8. Find m, given that k(m) = 0.
-6, 0
Find p such that 303*p**2 - 300*p**2 + 183 + 62 + 66*p + 118 = 0.
-11
Let s = -1/267 - -541/1869. What is w in 2/7*w**2 - 2/7 - 2/7*w + s*w**3 = 0?
-1, 1
Factor -12/7 - 3/7*k**3 + 3*k - 6/7*k**2.
-3*(k - 1)**2*(k + 4)/7
Let w(d) = 2*d**2 + 21*d - 8. Let n be w(-11). Determine z, given that 0 - 4/7*z**2 + 2/7*z**n + 0*z = 0.
0, 2
Factor p**4 + p**2 + 3*p + 2*p**3 + 7*p**3 - 10*p**2 - 4*p**4.
-3*p*(p - 1)**3
Let j(h) be the third derivative of h**9/7560 + h**8/2100 + h**3/6 + 3*h**2. Let f(c) be the first derivative of j(c). Factor f(o).
2*o**4*(o + 2)/5
Let x(o) be the third derivative of 0*o**4 + 0*o + 7*o**2 + 1/90*o**5 + 0 + 0*o**3. Factor x(i).
2*i**2/3
Let q(s) be the first derivative of -s**3/3 + 7*s**2/2 + 11*s - 1. Let p be q(8). Factor -2/3*c**p + 0 + 0*c**4 + 0*c**2 + 1/3*c + 1/3*c**5.
c*(c - 1)**2*(c + 1)**2/3
Let q(y) be the first derivative of -121*y**4 - 1144*y**3/3 - 184*y**2 - 32*y + 7. Let q(b) = 0. Calculate b.
-2, -2/11
Let v be 3 + -3 - 90/(-2). Let o = v - 224/5. Factor -o*z**5 + 0*z**2 - 2/5*z**4 - 1/5*z**3 + 0*z + 0.
-z**3*(z + 1)**2/5
Suppose -10 = -5*a + 3*h - 1, -9 = a + 3*h. Let r(n) be the second derivative of 0*n**5 + 0*n**3 + a*n**2 + n + 1/15*n**6 + 0*n**4 - 1/21*n**7 + 0. Factor r(y).
-2*y**4*(y - 1)
Let r(s) = -4*s**3 - 5*s - 9. Let x(w) = w - w**3 + w - 3*w + 1 - 3. Let y(h) = 2*r(h) - 9*x(h). Factor y(d).
d*(d - 1)*(d + 1)
Let a(m) be the third derivative of -m**6/900 - m**5/150 - m**4/60 + 7*m**3/6 - 4*m**2. Let x(u) be the first derivative of a(u). Factor x(c).
-2*(c + 1)**2/5
Let w(q) be the second derivative of -q**8/3360 + q**6/360 - q**4/48 + q**3/3 + 2*q. Let r(v) be the second derivative of w(v). Factor r(n).
-(n - 1)**2*(n + 1)**2/2
Let o = 1 + 2. Let p = 39 - 193/5. Suppose -2/5*s**2 + 2/5*s + p - 2/5*s**o = 0. What is s?
-1, 1
Let m(p) be the third derivative of p**8/84 - p**7/35 - p**6/30 + 2*p**5/15 - p**3/3 - 8*p**2. Find f, given that m(f) = 0.
-1, -1/2, 1
Let q(o) be the second derivative of o**5/70 - o**4/42 - 11*o. Factor q(t).
2*t**2*(t - 1)/7
Let o = -534 - -1558/3. Let k = o + 46/3. Factor 2/3*p**2 - k + 0*p.
2*(p - 1)*(p + 1)/3
Let s(h) be the third derivative of 0 - 1/210*h**5 + 0*h - 1/84*h**4 - 2*h**2 + 0*h**3. Factor s(p).
-2*p*(p + 1)/7
Let n = 5 + -3. Suppose 0 = n*d - 5*d + 9. Let -6*a**2 - a**3 + d + 4*a**3 + 3*a**3 - 3*a - 3*a**5 + 3*a**4 = 0. What is a?
-1, 1
Let q(j) be the first derivative of 0*j**3 + 0*j**2 + 0*j + 2/5*j**5 - 6 + 1/2*j**4. Suppose q(t) = 0. Calculate t.
-1, 0
What is w in 3/4*w**3 + 1/4*w**2 + 0 - 1/4*w**5 - 1/2*w - 1/4*w**4 = 0?
-2, -1, 0, 1
Let a = 3113/24 - -685/24. Let b = 159 - a. Factor 3/4*g - b*g**4 - 1/4*g**5 + 1/4 - 1/2*g**3 + 1/2*g**2.
-(g - 1)*(g + 1)**4/4
Let j(x) be the third derivative of 5/12*x**4 - 1/105*x**7 + 1/10*x**5 + 0 - 1/60*x**6 - x**2 + 0*x + 2/3*x**3. What is c in j(c) = 0?
-1, 2
Let c = -7 - 1. Let j = -6 - c. Factor j*s**4 - 2*s**2 + s**5 - s**2 + s**2 - s + 0*s**5.
s*(s - 1)*(s + 1)**3
Factor 8*l**3 - 74*l**4 + 31*l**4 + 37*l**4.
-2*l**3*(3*l - 4)
Let l = 25 - 123/5. Factor 6/5*i**2 + 0 + l*i + 6/5*i**3 + 2/5*i**4.
2*i*(i + 1)**3/5
Let 0*l + 1/4*l**3 + 0*l**2 + 0*l**4 + 0 - 1/4*l**5 = 0. Calculate l.
-1, 0, 1
Let i(f) be the third derivative of 0*f**4 + 6*f**2 + 0*f**3 + 0*f + 1/105*f**7 - 1/60*f**6 + 0*f**5 + 0. Factor i(h).
2*h**3*(h - 1)
Let w be (-2)/(-10)*(-1 + 2). Let f(r) be the first derivative of 0*r - 2 + w*r**5 + 0*r**3 + 0*r**2 + 0*r**4. Suppose f(c) = 0. Calculate c.
0
Suppose -2*p + 22 = -5*c, 2*p - 5 - 9 = 3*c. Let w(d) be the first derivative of 1/16*d**4 - p + 0*d - 1/8*d**2 - 1/12*d**3 + 1/20*d**5. Solve w(a) = 0 for a.
-1, 0, 1
Let z = -362 + 1818/5. Solve -32/5*h + 12/5*h**2 - 16/5 + 28/5*h**3 + z*h**4 = 0 for h.
-2, -1/2, 1
Suppose -19*f**2 - 4*f + 21*f**4 - 23*f**4 + 21*f**2 + 4*f**3 = 0. Calculate f.
-1, 0, 1, 2
Let i(x) be the third derivative of x**6/40 + x**5/90 + 10*x**2. Factor i(f).
f**2*(9*f + 2)/3
Let i(l) be the second derivative of l**10/75600 - l**9/18900 + l**8/16800 - l**4/12 + l. Let z(u) be the third derivative of i(u). Factor z(r).
2*r**3*(r - 1)**2/5
Let x(b) be the second derivative of -b**6/150 + b**4/