u, given that 3/4*u**2 + 9/2*u - 21/4 = 0.
-7, 1
Let h be (-3 - (-10)/3)/1. Let b be 3 - 1/(1/1). Factor 0*f - h*f**b + 1/3.
-(f - 1)*(f + 1)/3
Let l = 0 - -2. Factor -4*b**2 + b**5 + b**4 - b**3 - l*b**4 + 5*b**2.
b**2*(b - 1)**2*(b + 1)
Let b(m) = -8*m**2 + 8*m - 26. Let d(h) = h**2 - h + 3. Let a(r) = 6*b(r) + 52*d(r). Solve a(u) = 0 for u.
0, 1
Let l = -50/7 + 257/35. Factor 1/5*s**3 - 1/5*s - 1/5 + l*s**2.
(s - 1)*(s + 1)**2/5
Let l(x) = -x**2 - 3*x - 1. Let p be l(-3). Let f(y) = -2*y**4 - 2*y**3 - 5*y + 5. Let u(t) = t**4 + t**3 + t - 1. Let b(m) = p*f(m) - 5*u(m). Factor b(k).
-3*k**3*(k + 1)
Find p such that 5 - 314*p**2 + 7 + 311*p**2 = 0.
-2, 2
Let n(j) = j**2 + 1. Let o(d) = 3*d + 9. Let i(p) = 3*n(p) - o(p). Suppose i(s) = 0. What is s?
-1, 2
Let c(s) be the third derivative of -s**6/144 - 5*s**5/72 + 65*s**4/144 - 35*s**3/36 - 25*s**2. Factor c(r).
-5*(r - 1)**2*(r + 7)/6
Suppose -u = 3*u. Let m = u - -2. Factor 2/3*t**3 + 2/3 + 2*t + m*t**2.
2*(t + 1)**3/3
Let h(u) = u**4 + 4*u**3 + u**2 - 2. Let p(x) = 2*x**4 + 8*x**3 + x**2 - 5. Let t(m) = -10*h(m) + 4*p(m). Factor t(q).
-2*q**2*(q + 1)*(q + 3)
Let f(c) be the third derivative of -c**5/60 - c**4/24 + 7*c**2. Find z, given that f(z) = 0.
-1, 0
Let o = -3 + 5. Let -2/9*m**o - 4/9 - 2/3*m = 0. Calculate m.
-2, -1
Suppose -5*r = -o - 25, r - 4 = -5*o + 1. Factor 10*n**3 - 10*n**2 - 5*n**4 - 4 + 5*n - 7*n**5 + 8*n**r + 3.
(n - 1)**5
Let k(z) = z**3 + 9*z**2 + 4*z - 7. Let m be k(-8). Suppose -5*x = 5*q + 25, 0*q - m = -2*q + 5*x. Let q*p**2 - 1/4*p**3 - 1/2 + 3/4*p = 0. What is p?
-2, 1
Let r be 12/(-20)*2/(-6). Let j = 1/20 + r. Find o such that -1/4*o**4 + j*o**2 - 1/4*o**3 + 1/4*o**5 + 0*o + 0 = 0.
-1, 0, 1
Let h be 5*6/45 + (-3)/18. Factor -3/2*w**4 - 3/2*w**3 + 0 - h*w**2 + 0*w - 1/2*w**5.
-w**2*(w + 1)**3/2
Let r = -342 - -1028/3. Find v, given that -r*v**3 - 1/3*v**4 + 2/3*v + 0*v**2 + 1/3 = 0.
-1, 1
Let o(l) be the first derivative of l**6/30 + l**5/10 + l**4/12 - l + 2. Let g(t) be the first derivative of o(t). Factor g(u).
u**2*(u + 1)**2
Let i(x) be the third derivative of 3/8*x**4 + 2*x**2 + 7/60*x**5 + 0*x + 0 + 1/3*x**3. Solve i(g) = 0.
-1, -2/7
Let b(z) be the first derivative of -z**3/3 + z**2 - z + 26. Determine s, given that b(s) = 0.
1
Let a(p) = 2*p - 2. Let o be a(-4). Let r be (-68)/(-18) - o/45. Factor -2/5*i**5 + 4/5*i**r + 0*i - 2/5*i**3 + 0 + 0*i**2.
-2*i**3*(i - 1)**2/5
Let p = 4786/9 + -531. Let n = p - 31/63. Find i such that 0 + 4/7*i - n*i**3 + 2/7*i**2 = 0.
-1, 0, 2
Suppose -5*u + 41 - 26 = 0. Find y, given that 0 - 3/2*y**5 + 3/2*y**2 + 9/2*y**4 - 9/2*y**u + 0*y = 0.
0, 1
Suppose 0 = x - 4 + 2. Let h be (-417)/(-30) - (8 + -6)/(-4). Factor -8/5 - 162/5*r**x - h*r.
-2*(9*r + 2)**2/5
Factor 3/2*o + 3/2*o**3 + 0 - 3*o**2.
3*o*(o - 1)**2/2
Let a(j) = j**2 - 4*j + 1. Let l be a(3). Let g(d) = d. Let c(i) = -i**2. Let r(v) = l*c(v) + 2*g(v). What is p in r(p) = 0?
-1, 0
Let k(b) be the first derivative of b**9/12096 - b**8/3360 + b**7/3360 + b**3 - 1. Let z(x) be the third derivative of k(x). Determine n, given that z(n) = 0.
0, 1
Suppose 3*m - 4*m + 12 = 5*p, 2*p = 2*m + 12. Find z, given that 147*z**5 - 84*z**4 - 4*z**3 + 11*z**3 + 5*z**p = 0.
0, 2/7
Let i be (-88)/(-28) + 3/(-21). Let f(g) be the first derivative of -14/9*g**i + 1 - 2/3*g - 1/2*g**4 - 5/3*g**2. Determine j so that f(j) = 0.
-1, -1/3
Let v = -71 - -214/3. Factor -v*c**4 - 2/3*c + 0 - 5/3*c**2 - 4/3*c**3.
-c*(c + 1)**2*(c + 2)/3
Let t = 310/3 + -24799/240. Let m(d) be the third derivative of -1/16*d**4 + t*d**5 + 0 + 0*d + 3/8*d**3 + 3*d**2. Factor m(c).
(c - 3)**2/4
Factor 4*i**2 - 8 - 4*i + 6*i**2 + 10*i**2 - 16*i**2.
4*(i - 2)*(i + 1)
Suppose -4*p = -0*p - 12. Factor -m + p - 1 - m**2 - 2*m + 2*m**2.
(m - 2)*(m - 1)
Solve -8 + 2*l + l**2 - 4 + 9 = 0 for l.
-3, 1
Let q be ((2 - -1) + 96/(-30))*-14. Factor 8/5 - q*s**2 - 24/5*s.
-2*(s + 2)*(7*s - 2)/5
Let j = -1251 - -13771/11. Factor 2/11*b**3 + j*b + 4/11 + 8/11*b**2.
2*(b + 1)**2*(b + 2)/11
Let t(a) = -a**3 - 2*a**2 - 4*a + 5. Let n be t(0). Suppose -1/3*c - 4*c**3 + 0 + 10/3*c**4 - c**n + 2*c**2 = 0. What is c?
0, 1/3, 1
Let i(n) = n**3 - n**2 + n + 2. Let l be i(0). Find q, given that -q**2 + 0*q + 3*q - q + 3*q**l = 0.
-1, 0
Let a(k) be the first derivative of k**4/8 - k**2/4 - 7. Let a(g) = 0. What is g?
-1, 0, 1
Suppose 0 = -2*k + 6, 2*h - 4*k + 3 = -1. Suppose s - 11 = 4*t - t, -3*s + h*t = -18. Factor 32/5*v**s + 4/5 + 14/5*v**3 + 22/5*v.
2*(v + 1)**2*(7*v + 2)/5
Let a be ((-2)/12)/(16/(-36)). Let f(w) be the third derivative of 2*w**2 + 7/60*w**5 + 0*w - a*w**4 + 1/3*w**3 + 0. Find z, given that f(z) = 0.
2/7, 1
Let c = 2065/6 - 345. Let t = c - -4/3. Suppose 1/2*u**5 - t*u**4 - 1/2 + u**2 - u**3 + 1/2*u = 0. Calculate u.
-1, 1
Let f be ((-24)/(-14))/((-4)/(-14)). Let o be f/15*160/6. Find h, given that 0 + 4/3*h + 77/3*h**3 - 49/3*h**4 - o*h**2 = 0.
0, 2/7, 1
Let v(w) be the first derivative of -3*w**3 + 15*w**2/2 + 6*w + 26. Factor v(k).
-3*(k - 2)*(3*k + 1)
Let u(r) be the first derivative of -4*r**6/9 - 2*r**5/5 + r**4/6 - 12. Factor u(z).
-2*z**3*(z + 1)*(4*z - 1)/3
Let f be 4/30 + 18/270. Solve 1/5*i - 1/5*i**4 - 2/5*i**3 - 1/5 + f*i**5 + 2/5*i**2 = 0 for i.
-1, 1
Suppose -85 = -29*s - 27. Let -2/5*c**s - 2/5*c**3 + 2/5*c + 2/5 = 0. What is c?
-1, 1
Let j(u) be the third derivative of -u**5/180 - u**4/24 + u**2. Suppose j(i) = 0. Calculate i.
-3, 0
Suppose 3 = t - 0. Let r(n) be the first derivative of 2/35*n**5 + 0*n**4 - 2/21*n**t + 0*n + 0*n**2 + 1. Determine v, given that r(v) = 0.
-1, 0, 1
Let k(g) = -g**4 + g**3 - g**2 - 1. Let l(f) = 21*f**4 - 51*f**3 - 60*f**2 - 12*f - 4. Let u(q) = -12*k(q) + 3*l(q). Determine p so that u(p) = 0.
-2/5, 0, 3
Let q(u) be the third derivative of -u**8/336 - u**7/210 + u**6/120 + u**5/60 - 2*u**2. Suppose q(x) = 0. What is x?
-1, 0, 1
Let n(f) be the first derivative of 2/45*f**5 + 0*f - 2/27*f**3 + 2/9*f**2 - 7 - 1/9*f**4. Factor n(o).
2*o*(o - 2)*(o - 1)*(o + 1)/9
Let x(b) be the first derivative of b**5/10 - b**4/6 + b - 5. Let h(f) be the first derivative of x(f). Factor h(c).
2*c**2*(c - 1)
Let w(o) = -5*o**2 + 2*o - 1. Let s(b) = -14*b**2 + 5*b - 3. Let m(x) = -4*s(x) + 11*w(x). Find d such that m(d) = 0.
-1
Let b = -1/566 + -18107/2830. Let a = -56/15 - b. Solve -8/3 + a*r - 2/3*r**2 = 0 for r.
2
Let w be 18/27*2/24. Let z(d) be the second derivative of 1/9*d**3 + 0*d**2 + 2*d - w*d**4 + 0. Suppose z(v) = 0. Calculate v.
0, 1
Let h be (57/133)/((-13)/7 - -2). Suppose 4/9*l**2 - 2/9*l**h + 0 - 2/9*l = 0. Calculate l.
0, 1
Let g be 6/(-27) - 1688/(-7560). Let o(c) be the third derivative of 0*c**5 + 0 + 0*c + 3*c**2 + 0*c**3 - g*c**7 - 1/540*c**6 + 0*c**4. Solve o(m) = 0.
-1, 0
Let g = -720 + 2162/3. Factor -2/3*t + g*t**2 + 0.
2*t*(t - 1)/3
Let u be (-6)/(2 - 3) - 0. Let h be 52/u - 4/6. Factor -8*a**4 - 4*a**3 - 2*a**3 - h*a**2 - 6*a**3 - 2*a**5 - 2*a.
-2*a*(a + 1)**4
Suppose -2*p - p = -51. What is c in -6 + p*c + c**2 - 13*c + c**2 = 0?
-3, 1
Let w(q) be the second derivative of -3/2*q**2 - 7*q + 0*q**4 + 0 + 3/4*q**3 - 3/40*q**5. Suppose w(h) = 0. Calculate h.
-2, 1
Let q(v) be the second derivative of v**9/3024 + v**8/840 - v**6/180 - v**5/120 - v**3/3 - 3*v. Let k(w) be the second derivative of q(w). Factor k(d).
d*(d - 1)*(d + 1)**3
Let l(n) be the third derivative of 0*n - 2*n**2 + 0 + 2/9*n**3 + 1/20*n**5 - 5/18*n**4. Factor l(w).
(w - 2)*(9*w - 2)/3
Let y be -3 + (-108)/(-39) - -3. Let v = 278/91 - y. Let -2/7*h**2 + 0*h + v = 0. Calculate h.
-1, 1
Suppose q + 38 = 40. Suppose -q = -3*w + 13. Factor -4/3*i**3 + 2/3*i**4 + 2/3 + 2/3*i + 2/3*i**w - 4/3*i**2.
2*(i - 1)**2*(i + 1)**3/3
Suppose 0 = -4*d + 4*p - 12, -3*p + 23 = -d + 2*p. Let c be 81/18*d/6. Solve 0 - c*i**2 - 3/4*i**3 - 3/4*i = 0.
-1, 0
Let w(x) be the first derivative of -x**7/735 - x**6/210 - x**5/210 + x**2 + 2. Let q(p) be the second derivative of w(p). Factor q(o).
-2*o**2*(o + 1)**2/7
Suppose -35 = -3*s - 26. Let b(x) be the second derivative of 2*x - 1/6*x**s + 0 - 1/12*x**4 + 0*x**2. Factor b(h).
-h*(h + 1)
Let t be 3/(-18) + (-49)/(-6). Let y = t - 6. Let 2/7 + 2/7*c**y + 4/7*c = 0. What is c?
-1
Let d(c) be the second derivative of -c**8/43680 - c**7/3276 - c**6/585 - c**5/195 + c**4/4 - 8*