3 = -3*i, 12 = -3*i. Factor 1 + y*t**2 - 2 + 2*t - 2*t**2.
(t + 1)*(3*t - 1)
Suppose -27*i = -43*i + 48. Let 0 + 0*p + 6/5*p**i + 2/5*p**4 + 4/5*p**2 = 0. Calculate p.
-2, -1, 0
Find s, given that 20 + 6*s**2 + 6 + 30*s + 14 - s**2 = 0.
-4, -2
Let l(s) be the second derivative of -s**5/20 + s**4/6 + s**3/2 + 3*s**2/2 - 4*s. Let z be l(3). Factor m**4 + 0 - 1/2*m**5 - m**2 + 1/2*m + 0*m**z.
-m*(m - 1)**3*(m + 1)/2
Let l be (-16)/(-7) - 4/14. Solve 1/2*c**l - 1/2*c + 0 = 0.
0, 1
Determine l so that -14/3*l + 2 + 10/3*l**2 - 2/3*l**3 = 0.
1, 3
Suppose b + 4 = 3*o, o - 4*o - 2*b + 19 = 0. What is u in u**o - 3*u**3 - 4*u**2 - 12*u**4 + 6*u**3 + 8*u**3 + 4*u**5 = 0?
0, 1
Suppose -4*a + l - 4 = -8, -l = -5*a + 6. Suppose v + 10 = 6*v. Suppose g + 3*g**2 + 2*g**a - 1 - g**3 - 4*g**v = 0. Calculate g.
-1, 1
Let a(h) = -h**3 - 10*h**2 - 11*h - 17. Let s be a(-9). Determine l so that -4*l - l - 2*l + s + 4*l + 2*l**2 = 0.
1/2, 1
Let k(j) be the second derivative of j**6/1080 + j**5/120 - j**3/6 - 3*j. Let f(b) be the second derivative of k(b). Factor f(l).
l*(l + 3)/3
Let c = -676 + 40561/60. Let r(k) be the third derivative of 1/6*k**4 + 0*k + 0*k**3 + 0 - c*k**6 - 1/30*k**5 + 3*k**2. Factor r(h).
-2*h*(h - 1)*(h + 2)
Factor -8/17*o**4 - 4/17*o**2 - 14/17*o**3 + 2/17*o + 0.
-2*o*(o + 1)**2*(4*o - 1)/17
Suppose 5*a = -4*n + 192, -2*a - 37 = -3*n + 130. Let i = -50 + n. Determine w so that 4/3*w**2 + 0*w + 2/3*w**i + 0 - 2/3*w**4 = 0.
-1, 0, 2
Let i = 623 + -621. Let 2/3*b**5 + 4/3*b**4 + 0*b**3 - 4/3*b**i + 0 - 2/3*b = 0. What is b?
-1, 0, 1
Let b(n) be the third derivative of -3*n**2 - 1/180*n**6 + 1/180*n**5 + 0 + 1/72*n**4 + 0*n + 0*n**3. Let b(u) = 0. Calculate u.
-1/2, 0, 1
Let y(b) = -b**2 + 5*b. Let x be y(5). Let z(c) be the second derivative of 0 + 1/15*c**4 - 1/5*c**2 + c + x*c**3 - 1/75*c**6 + 0*c**5. Solve z(q) = 0 for q.
-1, 1
Let n be (2 - (-11)/(-6))*3. Solve 1/2*i + n*i**2 - 1/2*i**3 - 1/2 = 0.
-1, 1
Let j(q) be the second derivative of -50*q**7/21 + 4*q**6/3 - q**5/5 - 5*q. Factor j(u).
-4*u**3*(5*u - 1)**2
Let c = -7 + 4. Let d = c + 4. Let -4 - 3*x**2 + d + x**3 + 2 + 3*x = 0. Calculate x.
1
Let x(n) be the first derivative of n**3/12 - n**2/2 - 4. Factor x(w).
w*(w - 4)/4
Suppose -5 = -4*m + 11. Let i(a) be the second derivative of 1/2*a**3 + 0 - 2*a + 1/20*a**5 + 1/2*a**2 + 1/4*a**m. Determine g so that i(g) = 0.
-1
Let t(m) = -15*m**4 + 10*m**3 + 35*m**2 - 40*m + 5. Let x(b) = 7*b**4 - 5*b**3 - 18*b**2 + 20*b - 2. Let o(w) = 2*t(w) + 5*x(w). Factor o(i).
5*i*(i - 2)*(i - 1)*(i + 2)
Let y = -130/3 + 48. Let z(c) = 2*c**2 - 3*c + 1. Let m be z(2). Factor 2*v**2 - 2*v**m - 2*v**5 + 0 + 4/3*v - y*v**4.
-2*v*(v + 1)**3*(3*v - 2)/3
Let q(o) = 8*o**3 + o**2 + 5*o - o**2 - 4*o**2 - 3*o**3 - 6*o**4. Let b(r) = -7*r**4 + 6*r**3 - 5*r**2 + 6*r. Let s(y) = -5*b(y) + 6*q(y). Factor s(i).
-i**2*(i - 1)*(i + 1)
Suppose 0*q - 15 = -3*q. Let d(h) be the third derivative of 1/1344*h**8 + 0*h**7 + 0 + 0*h + 0*h**4 + 0*h**3 + 0*h**q - h**2 - 1/480*h**6. Factor d(t).
t**3*(t - 1)*(t + 1)/4
Suppose 3*t = 3*h - 111, 4*t - 175 - 5 = -4*h. Let l = h - 35. Factor l + 6*v + 2*v**2 + 2/9*v**3.
2*(v + 3)**3/9
Let l(p) be the third derivative of -p**7/1995 - 7*p**6/1140 - 8*p**5/285 - p**4/19 + 35*p**2. Determine y so that l(y) = 0.
-3, -2, 0
Let m(p) be the second derivative of p**6/195 + p**5/65 + p**4/78 - 3*p + 1. Factor m(y).
2*y**2*(y + 1)**2/13
Let x be (-5)/(-2) - (-4)/(-2). Suppose -58*a = -0*a - 116. Factor -x*k**a - k - 1/2.
-(k + 1)**2/2
Suppose -4/7 - 1/7*m**2 - 4/7*m = 0. Calculate m.
-2
Factor -6 + d**3 - 20*d**2 - d - 6*d**3 - 24*d - 4.
-5*(d + 1)**2*(d + 2)
Let r(p) = -1. Let t(q) = 25*q**2 + 45*q - 16. Let d(u) = 6*r(u) - t(u). Factor d(n).
-5*(n + 2)*(5*n - 1)
Let c = -1 + 7. Let k(m) be the third derivative of 0*m**3 + 0*m**c - 1/42*m**4 - 1/70*m**5 + 0*m + m**2 + 1/735*m**7 + 0. Solve k(v) = 0.
-1, 0, 2
Suppose 3*j - j = 2*h - 48, -3*j = -4*h + 92. Suppose 3*i - h = -i. Determine d, given that -d**4 + 3*d**i - 4*d**5 + 5*d**4 - 4*d**3 = 0.
0, 2
Let p(t) be the second derivative of -3*t**5/100 - t**4/12 - t**3/15 - 4*t. Suppose p(h) = 0. Calculate h.
-1, -2/3, 0
Let u(l) = -l**2 - 8*l - 8. Let z be u(-6). Suppose 0 = -z*o - 0*o + 8. Determine c, given that 2*c**2 + 3*c**2 - 3*c**o - 2*c**3 = 0.
0, 1
Let b(l) be the third derivative of -l**6/780 + l**4/13 - 16*l**3/39 - 3*l**2. Factor b(z).
-2*(z - 2)**2*(z + 4)/13
Let s(t) = 23*t**2 + 252*t + 2663. Let c(z) = -4*z**2 - 42*z - 444. Let g(j) = 34*c(j) + 6*s(j). Factor g(d).
2*(d + 21)**2
Suppose g - 3*k - 1 = 1, 44 = -5*g - 3*k. Let v = -7 - g. Suppose 2*j + v*j + 0*j**2 + 0*j + 2*j**2 = 0. Calculate j.
-1, 0
Let r = 20 + -20. Suppose 0 = 3*p - r - 9. Factor 20*z**4 - 14*z**5 + 0 - 8/7*z + 6/7*z**p - 40/7*z**2.
-2*z*(z - 1)**2*(7*z + 2)**2/7
Factor -5*i**4 + 6*i**3 + 3*i - 5*i**5 - 5*i + 25*i**2 + 9*i**3 + 12*i.
-5*i*(i - 2)*(i + 1)**3
Let g(b) be the third derivative of -b**7/240 - b**6/80 - b**5/160 + b**4/96 - 11*b**2. Suppose g(a) = 0. Calculate a.
-1, 0, 2/7
Let i be (-6)/15 - (-7)/5. Let c be -6 + 6 - (-1 - i). Factor -z**2 + 4*z**c - z**4 - z - 3*z**3 + 2*z**4.
z*(z - 1)**3
Let -2/7*d**2 + 1/7 + 2/7*d**3 - 1/7*d - 1/7*d**5 + 1/7*d**4 = 0. What is d?
-1, 1
Let z(i) = i**2 - 7*i + 3. Let r be z(7). Let w be (20/6)/(r/9). What is s in -w*s - 2 - 6*s - 9*s**3 + 6 + 21*s**2 = 0?
2/3, 1
What is c in -3/2*c + 3/2*c**2 - 3 = 0?
-1, 2
Let t(d) be the third derivative of -d**6/840 - d**5/140 + 2*d**3/21 - 8*d**2. What is q in t(q) = 0?
-2, 1
Suppose 4 - 2 = q. Let s = 225/7 - 221/7. Factor -2/7*k**q - s*k - 2/7.
-2*(k + 1)**2/7
Let w(y) be the first derivative of -y**5/120 - y**4/48 - 3*y**2/2 + 1. Let l(i) be the second derivative of w(i). Factor l(j).
-j*(j + 1)/2
Let r be (4 + 72/(-20))/(2/20). Let 0*c**2 + 0*c + 1/4*c**3 + 1/4*c**r + 0 = 0. Calculate c.
-1, 0
Let g(r) be the second derivative of 1/72*r**4 - 1/252*r**7 + 0 - 1/180*r**6 + 0*r**3 + 1/120*r**5 + 0*r**2 + 3*r. What is f in g(f) = 0?
-1, 0, 1
Let z(r) be the second derivative of -r**7/1260 + r**5/60 - r**4/2 + 6*r. Let m(d) be the third derivative of z(d). Determine s, given that m(s) = 0.
-1, 1
Let t be 33/9 - 2/3. Let n be (1*5)/(t/3). Solve -2*z**4 - 3*z**5 - 2*z**5 - 2*z**n = 0.
-2/7, 0
Find v such that 0 + 1/2*v**3 - 1/2*v + 0*v**2 = 0.
-1, 0, 1
Let k(r) be the first derivative of -5*r**4/4 - 5*r**3/3 + 5*r**2 + 13. Factor k(y).
-5*y*(y - 1)*(y + 2)
Let k = -8 - -9. Let t = 2 + k. Factor 6*q + 2 + t*q**3 - q**3 + 6*q**2 + 0*q**2.
2*(q + 1)**3
Let p be (8/72)/((-2)/(-8)). Factor 4/9*z**2 - 2/3*z - p.
2*(z - 2)*(2*z + 1)/9
Factor 0*s - 1/3 + 1/3*s**2.
(s - 1)*(s + 1)/3
Let g(x) = x**2 + 5*x + 4. Let i be g(-4). Suppose -4*o + 3*o - 3*c - 7 = 0, 5*o + 4*c + 2 = 0. Factor i + 2 - 1 - v**o.
-(v - 1)*(v + 1)
Let d(w) = -1. Let g(b) = b**3 + b**2 - b. Suppose 7*j = 4*j - 18. Let v = -5 - j. Let m(r) = v*d(r) + g(r). Factor m(o).
(o - 1)*(o + 1)**2
Let s = 117/4 - 29. Let x(o) be the first derivative of -2 + s*o**4 + 0*o - 1/3*o**3 + 0*o**2. Suppose x(m) = 0. Calculate m.
0, 1
Let w(z) be the second derivative of z**5/70 - 5*z**4/42 + z**3/7 + 9*z**2/7 + 11*z. What is b in w(b) = 0?
-1, 3
Let v(o) be the first derivative of -o + 5 - 7/6*o**3 + 9/4*o**2. Factor v(w).
-(w - 1)*(7*w - 2)/2
Let p = 671 - 2005/3. Factor 4 - p*t - 4/3*t**2.
-4*(t - 1)*(t + 3)/3
Let o be -3 - (67/(-13) - 16/(-104)). Let d(c) = -c**2 - 6*c - 5. Let j be d(-4). Suppose -6*n - j*n**o + 0*n + 0*n**2 - 12 - 6*n = 0. Calculate n.
-2
Let c(o) = o**3 - o**2 - o - 1. Let g(p) = -p**3 + p + 4. Let w(k) = -2*c(k) - g(k). Find z such that w(z) = 0.
-1, 1, 2
Let c = 74 + -45. Let r = c - 27. Determine f, given that 3/4*f - 3/4*f**3 - 1/2 + 1/2*f**r = 0.
-1, 2/3, 1
Suppose 9*i = 4*i + 10. Find u such that 0*u + 8*u**3 + 0*u - 4*u**3 - 2*u - i*u**5 = 0.
-1, 0, 1
Let b(w) be the first derivative of 1 + 0*w - 1/6*w**3 + 1/2*w**2. Suppose b(q) = 0. What is q?
0, 2
Let n(a) = 6*a**4 - 18*a**3 + 7*a**2. Let q(m) = -9*m**4 + 27*m**3 - 11*m**2. Let g(s) = 7*n(s) + 5*q(s). Factor g(f).
-3*f**2*(f - 2)*(f - 1)
Let u = 4 - 3. Find f such that -u - 2*f**2 + 2 + f**2 + 0*f**2 = 0.
-1, 1
Let p(s) be the second derivative of -13/42*s**4 + 4/147*s**7 - 11/70*s**5 + 8/105*s**6 + 16/2