*(d + 1)/4
Suppose -95*p + 119*p = 72. Factor -4/17 - 2/17*b + 2/17*b**p + 4/17*b**2.
2*(b - 1)*(b + 1)*(b + 2)/17
Solve -4*v**3 + 0*v**3 + 296352 + 504*v**2 - 8179*v - 12989*v = 0 for v.
42
Let a(q) = -q**3 - 5*q**2 + 9*q - 14. Let j be a(-7). Find i, given that -j*i + 3*i**2 + 18 + i**2 - i**2 = 0.
1, 6
Let r(f) be the second derivative of -2*f**7/189 - 8*f**6/45 - 10*f**5/9 - 88*f**4/27 - 46*f**3/9 - 40*f**2/9 + 21*f. Suppose r(g) = 0. Calculate g.
-5, -4, -1
Suppose 2*b + 0*a = 3*a - 19, -2*b - 29 = -5*a. Let c = 0 - b. What is t in -14/5*t - c*t**3 + 4/5 + 18/5*t**2 + 2/5*t**4 = 0?
1, 2
Factor 40896/5*s**2 + 2/5*s**4 + 0 + 40328/5*s + 114*s**3.
2*s*(s + 1)*(s + 142)**2/5
Let l(q) be the first derivative of -1/3*q**3 + 5*q - 2*q**2 - 12. Factor l(t).
-(t - 1)*(t + 5)
Factor 33 + 21/4*t**2 + 30*t - 3/4*t**3.
-3*(t - 11)*(t + 2)**2/4
Suppose 2/7*b**3 + 34/7*b**2 + 142/7*b + 110/7 = 0. What is b?
-11, -5, -1
Let s = 20 + -15. Factor -17*n**2 + 8*n**4 + 8*n - s*n - n - 24*n**4 + 40*n**3.
-n*(n - 2)*(4*n - 1)**2
Factor 4 + 36 - x**2 + 23 + 0*x**2 + 12*x - 2*x**2.
-3*(x - 7)*(x + 3)
Let y(j) = -j**3 - 3*j**2 + 4*j + 3. Let i be y(-4). Factor i*z - 11 + 11 - 3*z**2.
-3*z*(z - 1)
Factor -5*h**5 + 7*h**4 + 18*h**4 + 437*h**3 - 467*h**3.
-5*h**3*(h - 3)*(h - 2)
Let t(h) be the first derivative of -h**4/4 + 4*h**3/3 - 5*h**2/2 + 2*h - 112. Suppose t(j) = 0. Calculate j.
1, 2
Suppose 2*x - 24 = -2*v, 0 = -4*x - 0*x + 16. Suppose -6 = -2*h - 0. Determine n, given that 4*n**2 - 2*n**3 - 6*n**h - 7*n**4 + 3*n**4 + v*n = 0.
-2, -1, 0, 1
Let q(u) be the second derivative of -7*u**6/120 - u**5/2 - 3*u**4/2 - 4*u**3/3 + 2*u**2 + 125*u - 3. Factor q(o).
-(o + 2)**3*(7*o - 2)/4
Let n(l) = -l - 10. Let c be n(0). Let s = c - -18. What is f in s*f + 12*f**2 + 3*f**3 - 5*f + 16*f**3 - f**3 + 3*f**5 + 12*f**4 = 0?
-1, 0
Let c(d) = d**5 - d**3 - d. Let o = 8 - 9. Let a(y) = 2*y**5 + y**4 - 2*y**3 - y**2 - 3*y. Let l(i) = o*a(i) + 3*c(i). Factor l(s).
s**2*(s - 1)**2*(s + 1)
Suppose -433*x = -428*x - 10. Find q such that 1/4*q**5 - q**4 + 5/4*q**3 + 0 + 0*q - 1/2*q**x = 0.
0, 1, 2
Determine d, given that -22*d**3 - 5635*d + 2*d**3 + 5655*d - 24 + 68*d**2 - 44*d**4 = 0.
-1, 6/11, 1
Let j(z) = -5*z - 27. Let x be j(-7). Let k be (-225)/(-18)*x/110. Let 12/11*d**2 - k*d**4 - 6/11*d**5 + 2/11*d + 4/11*d**3 - 2/11 = 0. What is d?
-1, 1/3, 1
Let t(h) = -947*h - 13256. Let p be t(-14). Factor 0*l - 2/17*l**p - 2/17*l**3 + 0.
-2*l**2*(l + 1)/17
Let c(d) be the third derivative of -d**6/72 - d**5/10 - d**4/6 + 17*d**3/3 - 13*d**2. Let g(b) be the first derivative of c(b). Determine y so that g(y) = 0.
-2, -2/5
Let y(a) be the third derivative of -a**8/84 - 2*a**7/5 - 4*a**6 - 20*a**5/3 + 9*a**2. Factor y(c).
-4*c**2*(c + 1)*(c + 10)**2
Let b(z) = z**2 + 1. Let n be b(0). Suppose -i + 3*y = 5, 2*i + y + 9 = 5*i. Factor k**2 - i*k**2 + 9*k - 5 - n.
-3*(k - 2)*(k - 1)
Suppose -96 = 6*a - 30. Let d(p) = -40*p - 3*p**2 + 15 - 21*p**2 + 25*p**3 + 5. Let q(r) = 5*r**3 - 5*r**2 - 8*r + 4. Let g(x) = a*q(x) + 2*d(x). Factor g(c).
-(c - 2)*(c + 1)*(5*c - 2)
Let c(w) be the first derivative of w**6/12 - w**5/5 - 3*w**4/2 - 7*w**3/3 - 5*w**2/4 + 16. Factor c(p).
p*(p - 5)*(p + 1)**3/2
Let b(c) be the first derivative of -c**4/54 - 4*c**3/27 + 41*c + 28. Let u(q) be the first derivative of b(q). Factor u(n).
-2*n*(n + 4)/9
Let r(j) be the second derivative of -13*j + 0 - 12/5*j**5 + 4/3*j**3 + 0*j**2 + 5/3*j**4. Let r(h) = 0. What is h?
-1/4, 0, 2/3
Let c(z) be the first derivative of z**3/15 - 7*z**2/10 - 157. Factor c(x).
x*(x - 7)/5
Let b(k) be the third derivative of 0*k**3 + 1/48*k**4 - 1/480*k**6 + 0*k + 9*k**2 + 1/240*k**5 + 0. Let b(q) = 0. Calculate q.
-1, 0, 2
Suppose -21 = -42*d + 39*d. Factor -12*v**3 - d*v**4 + 3*v**5 - 3*v**5 - 5*v**4 + 6*v**2 + 6 + 15*v - 3*v**5.
-3*(v - 1)*(v + 1)**3*(v + 2)
Let y(s) = s**5 + 4*s**4 + 3*s**3 - 10*s**2 - 2*s. Let j(u) = 8*u**5 + 31*u**4 + 24*u**3 - 80*u**2 - 17*u. Let m(l) = -6*j(l) + 51*y(l). Solve m(o) = 0 for o.
-5, -2, 0, 1
Factor 2/7*u**3 + 0 - 32/7*u - 30/7*u**2.
2*u*(u - 16)*(u + 1)/7
Let p be 28/24 + 68/51. Factor -5/2*m**4 - p + 0*m + 5*m**2 + 0*m**3.
-5*(m - 1)**2*(m + 1)**2/2
Let c(l) be the first derivative of -4*l**4 + 14*l**3/3 + l**2 - 423. Factor c(q).
-2*q*(q - 1)*(8*q + 1)
Let q(y) be the first derivative of y**7/280 - y**6/20 + y**5/8 - 4*y**3 + 40. Let f(r) be the third derivative of q(r). Let f(o) = 0. What is o?
0, 1, 5
Let a = 5072/5 - 1014. Factor a*g**3 + 14/5*g**2 - 32/5 + 16/5*g.
2*(g - 1)*(g + 4)**2/5
What is m in -671*m**3 - 1161*m**4 + 1872*m + 48 + 12*m**5 + 49*m**5 + 888*m**2 - 745*m**3 - 292*m**5 = 0?
-2, -2/77, 1
Find u, given that 1/5*u**5 - 22/5*u**3 + 38/5*u**2 - 27/5*u + 3/5*u**4 + 7/5 = 0.
-7, 1
Suppose -45 = -2*v - 3*v. Let j = v + -2. Let 2 - h**3 - 3 - 2*h**3 + 0 - j*h**2 - 5*h = 0. Calculate h.
-1, -1/3
Let y(b) = -20*b + 28. Let m(z) = -8*z + 11. Let u(v) = 12*m(v) - 5*y(v). Let o be u(6). Solve 3*h**3 - 7*h**4 + o*h**5 - 4*h**5 - 8*h**4 = 0 for h.
0, 1/4, 1
Suppose -5*t = 5*b - 30, 2*b - 2 = t + 1. What is i in -8/13*i**2 + 0 + 6/13*i + 2/13*i**b = 0?
0, 1, 3
Let b be (0 + 37/30)/((-408)/(-336)). Let a = b - 15/17. Factor -a*o**2 + 0 + 0*o.
-2*o**2/15
Let l(q) be the first derivative of -3*q**2/2 - 18*q - 6. Let b be l(-6). Solve 1/5*x + b - 1/5*x**2 = 0 for x.
0, 1
Let a(k) = k**3 + 16*k**2 + 63*k + 183. Let m be a(-12). Suppose -14/3*t - 14/3*t**2 + 2*t**m + 2 = 0. What is t?
-1, 1/3, 3
Let r(t) = -20*t**3 + 15*t**2 - 5*t. Let o = 6 - 10. Let f(w) = w**4 - 19*w**3 + 14*w**2 - 4*w. Let a(l) = o*r(l) + 5*f(l). Factor a(v).
5*v**2*(v - 2)*(v - 1)
Suppose j + 209 = 12*j. Suppose 0*q + j*q = 4*q. Solve q*t - 1/7*t**2 + 1/7 = 0.
-1, 1
Let b(x) = x**2 - 4*x - 6. Let w be b(6). Factor -w*s**2 + s**2 + s**2 + 0*s**2 - 36 + 24*s.
-4*(s - 3)**2
Let z(u) be the first derivative of u**4/8 + u**3/2 - 9*u**2/4 + 5*u/2 + 30. Solve z(t) = 0.
-5, 1
Let b(t) = t**2 - 2*t - 12. Let j be b(5). Let -j - 6*i + 12*i**3 + 4*i - 18*i**2 + 4*i + 10*i - 3*i**4 = 0. Calculate i.
1
Factor -6/7 + o - 1/7*o**2.
-(o - 6)*(o - 1)/7
Let g be (-25)/(-9) - 36/(-162). Suppose -3*t = g - 9. Factor -c**4 - 1 + 0*c**4 - 2*c**3 + 2*c + t.
-(c - 1)*(c + 1)**3
Let a be -3*65/39 - -5. Let u = -3/31 + 99/62. Solve u*k**2 + a + 1/2*k**5 - 3/2*k**4 + 1/2*k**3 - k = 0.
-1, 0, 1, 2
Let t(z) = -3*z**2 + 228*z - 2643. Let f(j) = -j**2 + j - 1. Let s(o) = -2*f(o) - t(o). Suppose s(b) = 0. Calculate b.
23
Let y(u) = -u**2 - 1. Let q(j) = -j**3 + j**2 + 18*j + 8. Let z(r) = 5*q(r) + 40*y(r). Let z(m) = 0. Calculate m.
-9, 0, 2
Let w(c) = 10*c + 12. Let b be w(3). Let a = 47 - b. Suppose 1/2*s**2 - 1/2*s**4 + 3/4*s**3 + 0*s + 0 - 3/4*s**a = 0. What is s?
-1, -2/3, 0, 1
Let u be 5 + -4 + 12/(2 + 1). Factor 384*r - 72*r**3 + 30*r**4 + 45*r**2 - 141*r**2 - 22*r**u + 19*r**5.
-3*r*(r - 4)**3*(r + 2)
Let 2/3*b + b**2 + 0 + 1/3*b**3 = 0. Calculate b.
-2, -1, 0
Suppose -5*a + 4*z - 54 = -8*a, 3*a - 4*z - 54 = 0. Let k = 5 - 2. Factor -2*n**k - 8*n - 8*n**2 + 18 - a.
-2*n*(n + 2)**2
Solve -2/17*v**3 - 2/17*v**4 + 20/17*v**2 + 0 - 16/17*v = 0.
-4, 0, 1, 2
Let l = -7849 + 7852. Factor -d**l + 1/4*d**4 + 0 + 0*d + d**2.
d**2*(d - 2)**2/4
Let k(v) be the first derivative of -v**3/3 + 33*v**2/2 - 50. Factor k(a).
-a*(a - 33)
Suppose 0 = -5*i - 4*o - 32 - 50, 3*i - 3*o = -33. Let s(c) = -c - 12. Let g be s(i). Factor 2*h**4 - g*h**3 + 2*h + 4 - 4 - h**2 - h**2.
2*h*(h - 1)**2*(h + 1)
Let l(n) be the second derivative of n**4/8 - 9*n**3/2 - n - 295. Factor l(y).
3*y*(y - 18)/2
Let h(o) be the second derivative of o**4/27 - 112*o**3/27 + 1568*o**2/9 + 2*o + 57. Factor h(i).
4*(i - 28)**2/9
Suppose 35*y - 473 = -403. Factor -2/3*f**4 - 2/3*f**3 + y*f**2 + 4/3 + 10/3*f.
-2*(f - 2)*(f + 1)**3/3
Let -4/7*l**3 + 0*l**2 + 0 + 4/7*l = 0. Calculate l.
-1, 0, 1
Let k(l) be the first derivative of -l**5/60 + l**3/18 - 9*l + 28. Let b(p) be the first derivative of k(p). Let b(a) = 0. Calculate a.
-1, 0, 1
Let n(k) be the second derivative of k**8/2240 - k**7/840 + 7*k**4/12 + 18*k. Let d(b) be the third derivative of n(b). Factor d(a).
3*a**2*(a - 1)
Determine g, given that 4 + 1/6*g**4 + 3/2*g**3 + 22/3*g + 5*g**2 = 0.
-3, -2
Let n(y) = y**3 + 137*y**2 + 530*y - 263. L