 2*o**2 - o + 1. Let k(u) = u**2 - 5*u + 5. Let c be k(4). Let z be h(c). Suppose 1/4*g**z + 1/4*g - 1/2 = 0. Calculate g.
-2, 1
Suppose 2 + 2*s + 2*s**2 + 0*s - 2 = 0. Calculate s.
-1, 0
Suppose 0*r = 4*r. Suppose -5*g - 29 = -2*h - 0*g, r = 2*g + 10. Factor 1/3*p - 1/3*p**h + 0.
-p*(p - 1)/3
Suppose -2*w + 12 = -2*p + 6*p, 0 = 5*p - 10. Factor -7 - 16*d - 5*d - 23*d**w + 8*d**2 - 2 - 3*d**3.
-3*(d + 1)**2*(d + 3)
Let f(y) = 2*y - 4. Let u be f(4). Suppose 2*v - 4*l + 2 = v, 4*v - 4 = u*l. Determine r, given that -v*r**3 + 6*r**2 + 0 + 3 - 6*r - 1 = 0.
1
Let x(p) = -p**3 - 6*p**2. Let o be x(-6). Let q(d) be the first derivative of 0*d**3 + 1/15*d**5 + 0*d - 2 - 1/12*d**4 + o*d**2. Find w such that q(w) = 0.
0, 1
Let s(j) = 12*j**3 + 164*j**2 + 132*j + 76. Let t(i) = -i**3 - 15*i**2 - 12*i - 7. Let f(p) = -3*s(p) - 32*t(p). Find u, given that f(u) = 0.
-1
Solve 2/3*x + 1/6*x**3 - 5/6*x**2 + 0 = 0.
0, 1, 4
Let h be 5 - (-4)/(-2) - (17 + -16). Solve 0*y - 2/5 + 2/5*y**h = 0 for y.
-1, 1
Suppose -20 = -4*b + 28. Suppose 2*t + 2*t = b. Suppose 6*l**4 - l**3 + 2*l**5 + 0*l**4 + 2*l**2 + 7*l**t = 0. What is l?
-1, 0
Let q(d) = -d**3 + 2*d**2 + 2*d. Let s be q(2). Solve 40*h - 27*h**s - 42*h**3 + 9*h**4 + 0*h + 16 + 4*h**2 = 0.
-2, -2/3, 1
Factor 10*b**2 + 8*b + 5*b**3 + 8 - 3*b**3 + 8*b.
2*(b + 1)*(b + 2)**2
Let z(j) be the second derivative of j**6/15 + 4*j**5/5 + 4*j**4 + 32*j**3/3 + 16*j**2 - 2*j. Factor z(i).
2*(i + 2)**4
Factor -3 + 3/2*k**4 - 15/2*k - 9/2*k**2 + 3/2*k**3.
3*(k - 2)*(k + 1)**3/2
Let p(v) be the first derivative of 8*v**3 - 61*v**2/2 + 26*v - 5. Let j(a) = -5*a**2 + 12*a - 5. Let d(n) = -22*j(n) - 4*p(n). Factor d(h).
2*(h - 1)*(7*h - 3)
Suppose -5*f = -15*f + 50. Let h(d) be the second derivative of -d + 1/24*d**3 + 1/48*d**4 + 0 - 1/80*d**f - 1/120*d**6 + 0*d**2. Factor h(l).
-l*(l - 1)*(l + 1)**2/4
Let n(p) be the second derivative of -5*p**7/21 - p**6/3 + 27*p**5/25 + 2*p**4/15 - 8*p**3/15 + 17*p. What is l in n(l) = 0?
-2, -2/5, 0, 2/5, 1
Let z(d) be the first derivative of -4/45*d**5 + 1/9*d**4 + 4/9*d + 16/27*d**3 - 2 + 7/9*d**2 - 1/27*d**6. What is l in z(l) = 0?
-1, 2
Solve 7*w**2 - 42*w**3 - 1 - 3*w**4 + 43*w**3 - 3 - w**5 = 0 for w.
-2, -1, 1
Let w(l) = -632*l + 14. Let k be w(4). Let u = k - -12651/5. Find r such that -3/5*r**3 - 81/5 - u*r - 27/5*r**2 = 0.
-3
Solve -2/19*u**3 - 24/19 - 14/19*u**2 - 32/19*u = 0 for u.
-3, -2
Let s(v) = -v**2 - 12*v + 8. Let d(b) be the first derivative of -3*b**2 + 4*b + 2. Let k(x) = 5*d(x) - 2*s(x). Factor k(q).
2*(q - 2)*(q - 1)
Suppose -7*i + 6*i = -4. Let r(t) be the third derivative of 0*t + 0*t**3 + 0 + 1/30*t**5 + 2*t**2 - 1/12*t**i. Solve r(v) = 0.
0, 1
Let t(g) = -120*g**2 + 85*g - 35. Let l(v) = 7*v**2 - 5*v + 2. Let o(m) = 35*l(m) + 2*t(m). Factor o(r).
5*r*(r - 1)
Let k be (8/6)/(10/(-15)). Let v be 0 + k + (-3 - -5). Factor 2/3*g + v + 1/3*g**2.
g*(g + 2)/3
Let f(m) be the second derivative of 2*m - 1/120*m**5 + 0 - 1/12*m**3 + 1/24*m**4 + 1/12*m**2. Find p, given that f(p) = 0.
1
Let w(z) = z - 6. Let m be w(6). Let -l + m + 2*l**2 + 3*l - 1 - 3 = 0. Calculate l.
-2, 1
Suppose 5*r - 80 = 10*r. Let f = 18 + r. Find q such that -8/3*q**f - 10/9*q + 4/9 = 0.
-2/3, 1/4
Suppose -4/3 - 3/2*a - 1/6*a**2 = 0. Calculate a.
-8, -1
Let l be (-415)/(-249)*5/(50/12). Factor 0*p - 2*p**3 + 10/3*p**4 + 0 - 4/3*p**l.
2*p**2*(p - 1)*(5*p + 2)/3
Let z(d) = -d**3 + 3*d**2 + d + 3. Let i(s) = -s**3 + 4*s**2 + s + 4. Let h(k) = -3*i(k) + 4*z(k). Factor h(v).
-v*(v - 1)*(v + 1)
Let j(x) be the third derivative of 0*x - 1/30*x**6 + 1/15*x**7 + 2*x**2 - 1/30*x**5 + 0*x**3 + 0*x**4 + 0 - 1/42*x**8. Solve j(a) = 0.
-1/4, 0, 1
Let c(z) be the first derivative of -2*z**5/15 - z**4/2 - 4*z**3/9 - 1. Factor c(q).
-2*q**2*(q + 1)*(q + 2)/3
Let j(t) = -t**3 + 2*t**2 + 2*t - 1. Let m be j(3). Let a be (m/(-18))/(6/18). Let 0*q - a*q**2 + 2/3 = 0. Calculate q.
-1, 1
Let h(t) = -7*t**3 - 13*t**2 - 2*t + 4. Let v(r) = 15*r**3 + 27*r**2 + 3*r - 9. Suppose -6*w = -3*w - 12. Let m(k) = w*v(k) + 9*h(k). Let m(q) = 0. What is q?
-2, -1, 0
Let k(t) = -16*t - 190. Let o be k(-12). Factor 0 + 3/4*m**4 + 3/4*m**3 - 3/2*m**o + 0*m.
3*m**2*(m - 1)*(m + 2)/4
Let f = -9 - -13. Suppose -s**3 - f*s**3 - 2 + s**3 + 4*s + 2*s**4 = 0. Calculate s.
-1, 1
Suppose -9*b = -8*b - 2. Determine y so that -10 - 31*y**2 + 10 - 48*y**3 - b*y**2 - 21*y**4 - 6*y = 0.
-1, -2/7, 0
Let g = 69 + -65. Determine f so that 0*f - 2/15*f**2 + 0 - 2/15*f**g + 4/15*f**3 = 0.
0, 1
Let q be 2398/2620 + 2/(-4). Let b = q - 2/131. What is f in b*f**3 + 4/5*f - 6/5*f**2 + 0 = 0?
0, 1, 2
Suppose -5*g = -20, 3*i + 1 + 3 = -5*g. Let x = 8 + i. Factor 4/5*p**2 + 0*p**3 - 2/5*p**5 + 2/5*p - 4/5*p**4 + x.
-2*p*(p - 1)*(p + 1)**3/5
Determine c, given that -7/3*c - 1/3*c**2 - 2 = 0.
-6, -1
Let f = -114 + 229/2. Factor 0*t + 4*t**3 + 0 + 2*t**2 + f*t**5 + 5/2*t**4.
t**2*(t + 1)*(t + 2)**2/2
Let r(b) = -4*b**4 - 2*b**3 + b**2 + 2*b + 3. Let d(f) = -6*f - 5 + 4*f**3 + 2*f + 7*f**4 - 2*f**2 + 0*f**2. Let t(y) = 3*d(y) + 5*r(y). Factor t(n).
n*(n - 1)*(n + 1)*(n + 2)
Let l(p) be the second derivative of -p**5/6 + p**4/6 + 2*p**3/9 + 2*p. Factor l(s).
-2*s*(s - 1)*(5*s + 2)/3
Let x be (2/5)/((-3)/(-15)). Let d(j) be the second derivative of -4*j**x + 0 + j - 5/6*j**4 - 8/3*j**3 - 1/10*j**5. Solve d(v) = 0.
-2, -1
Let q(y) = -y**3 + 6*y**2 + 9. Let d be q(6). Let k be (-3)/d*(3 - 4). Factor -i + 2/3*i**3 + i**4 - 1/3 - 2/3*i**2 + k*i**5.
(i - 1)*(i + 1)**4/3
Let k be 1*(-1 - -1)/1. Let i = -101/3 + 35. What is x in 2/3*x**5 + k + 0*x**4 - i*x**3 + 2/3*x + 0*x**2 = 0?
-1, 0, 1
Suppose -5*q = 4*d - 9 - 6, 12 = -2*d + 4*q. Let b = 6 - 2. Let -2/3*x**b - 1/3*x**2 + x**3 + 0 + d*x = 0. What is x?
0, 1/2, 1
Let b(j) be the third derivative of j**6/360 - j**5/60 + j**4/36 + 11*j**2. Factor b(q).
q*(q - 2)*(q - 1)/3
Let d(q) be the second derivative of -q**7/210 + q**6/50 - q**4/15 - 38*q. Suppose d(g) = 0. What is g?
-1, 0, 2
Let q = 739/5628 + -8/67. Let n(o) be the third derivative of 0 + 2/21*o**3 - 1/210*o**5 - q*o**4 + 3*o**2 + 0*o. Find h such that n(h) = 0.
-2, 1
Find b, given that 0 + 4/9*b + 2/9*b**3 + 2/3*b**2 = 0.
-2, -1, 0
What is t in 1/8*t**2 - 1/4 - 1/8*t = 0?
-1, 2
Let v = 1/11 + 53/22. Let s**3 + 0 - s - 5/2*s**4 + v*s**2 = 0. Calculate s.
-1, 0, 2/5, 1
Suppose 0 = -0*r - 4*r + 8. Let q(d) = 9*d**2 - 47*d + 88. Let t(a) = -3*a**2 + 16*a - 29. Let j(p) = r*q(p) + 7*t(p). Factor j(k).
-3*(k - 3)**2
Let d(q) be the second derivative of 1/10*q**5 + 0 - q**2 + 1/6*q**4 - 1/3*q**3 - 2*q. Factor d(f).
2*(f - 1)*(f + 1)**2
Factor 4/5*x**2 + 0*x - 18/5*x**5 + 0 + 22/5*x**3 + 24/5*x**4.
-2*x**2*(x - 2)*(3*x + 1)**2/5
Let d(n) be the second derivative of n**5/40 - 7*n**3/12 - 3*n**2/2 - 9*n. What is w in d(w) = 0?
-2, -1, 3
Let t(p) be the first derivative of 7*p**6/45 - 3*p**5/10 + p**4/9 + 3*p + 5. Let o(v) be the first derivative of t(v). Solve o(w) = 0 for w.
0, 2/7, 1
Let c(h) = 7*h**2 - 4*h - 4. Let p(y) = -20*y**2 + 11*y + 11. Let r(o) = -17*c(o) - 6*p(o). Let q be r(-3). Let 2*i**2 + i + i - q*i + i**2 = 0. What is i?
0, 1
Let u be 970/11 + 8/(-44). Let b = u - 262/3. Let -2/3*w + 2/3*w**2 + 2/3*w**3 + 0 - b*w**4 = 0. Calculate w.
-1, 0, 1
Let c(s) = -s**4 - 13*s**3 - s**2 + 11*s - 11. Let i(v) = v**3 - v + 1. Let y(z) = 4*c(z) + 44*i(z). Factor y(w).
-4*w**2*(w + 1)**2
Let c be (-1)/((9/(-3))/9). Factor 12*w**2 - 18*w - 3*w**3 + 0*w**c + 6*w.
-3*w*(w - 2)**2
Let w(h) be the second derivative of -h**7/168 + h**6/120 + h**5/16 - h**4/48 - h**3/3 - h**2/2 + 34*h. Suppose w(t) = 0. Calculate t.
-1, 2
Factor -5*b**5 + 76*b**3 + 2*b**2 + 20*b**4 + 8*b**2 - 101*b**3.
-5*b**2*(b - 2)*(b - 1)**2
Let g(p) be the second derivative of -p**4/12 + p**3/2 + 6*p**2 + 2*p. Let h be g(5). Suppose 2/3*q**3 - 4/3*q**h + 0 + 2/3*q = 0. What is q?
0, 1
Let y(f) = 2*f**2 - 9*f + 6. Let n be y(4). Solve 2/5 - 2/5*t**n + 0*t = 0 for t.
-1, 1
Let w(y) be the third derivative of -y**5/12 - y**4/12 - 4*y**2. Find f, given that w(f) = 0.
-2/5, 0
Let o be (2/54)/(8/48). Suppose 0*p + o*p**5 - 2/9*p**4 + 2/9*p**2 + 0 - 2/9*p**3 = 0. Calculate p.
-1, 0, 1
Let -1/2*d**3 + 1/2*d + 1/2 - 1/2*d**2 = 0. Calculate d.
-1, 1
Suppose 4 = -2*a - 3*i - 2*i, -3*a + 13 = -2*i. Let r(f) be the f