- 22*f**2.
(f - 3)**2*(7*f - 2)/2
Factor -3044 + 4*s**2 + 4*s + 3044.
4*s*(s + 1)
Let h be (1/(-3))/((-1)/15). Let o(m) = m**3. Let c be o(0). Factor c - 1/4*a**4 + 0*a - 1/4*a**h + 0*a**2 + 0*a**3.
-a**4*(a + 1)/4
Solve 2*l**2 - l**4 + 3/2*l + 3/2*l**5 - 3*l**3 - 1 = 0 for l.
-1, 2/3, 1
Let r = 1121/2 - 527. Let u = r - 33. Solve 0 - 1/2*f**2 + u*f**4 + 1/2*f**3 - 1/2*f = 0 for f.
-1, 0, 1
Factor 3/4*x**2 + 0*x + 9/4*x**4 - 3/4*x**5 + 0 - 9/4*x**3.
-3*x**2*(x - 1)**3/4
Determine z so that -12 + 2 - 15*z**2 + 2*z**3 + 24*z - 2 + z**3 = 0.
1, 2
Let m = 63 - 61. Factor 0 + 0*u - 1/5*u**m.
-u**2/5
Let n(p) = -p + 30. Let o be n(15). Let k be (-45)/o*2/(-3). Factor 1/2 - 1/2*r**4 + 0*r**k + r - r**3.
-(r - 1)*(r + 1)**3/2
Let j = 100 + -100. Determine f so that -1/4 + j*f + 1/4*f**2 = 0.
-1, 1
Let b be 2/10 - (-69)/230. Factor 0*g - b*g**2 + 1/2*g**3 + 0.
g**2*(g - 1)/2
Let i(a) be the third derivative of a**8/5880 - a**7/490 + a**6/105 - 2*a**5/105 + 5*a**3/6 - 3*a**2. Let x(m) be the first derivative of i(m). Factor x(q).
2*q*(q - 2)**3/7
Let t be 2/(-12) + (-1064)/(-336). Solve 1/5*x**2 - 1/5 - 1/5*x + 1/5*x**t = 0 for x.
-1, 1
Suppose -21*j + 34*j - 39 = 0. Suppose 0 = 3*k - 7*l + 5*l, l = 0. Determine n so that k - 1/2*n + 1/2*n**2 - 1/2*n**4 + 1/2*n**j = 0.
-1, 0, 1
Let t(b) be the first derivative of -2/3*b**3 + 7*b**2 - 4*b - 7/2*b**4 + 6/5*b**5 - 2. Determine p so that t(p) = 0.
-1, 1/3, 1, 2
Determine b, given that 3*b + 1 - 13*b - 5*b**2 - 1 = 0.
-2, 0
Let v(q) be the third derivative of -8*q**7/525 - 11*q**6/150 + q**5/25 + 19*q**2. Factor v(g).
-4*g**2*(g + 3)*(4*g - 1)/5
Let z(j) be the first derivative of 0*j**3 + 0*j**2 + 1/60*j**6 - 2*j + 1/20*j**5 + 1 + 1/24*j**4. Let v(p) be the first derivative of z(p). Factor v(b).
b**2*(b + 1)**2/2
Let v(h) be the third derivative of -h**5/40 + h**4/8 - 15*h**2. Determine o so that v(o) = 0.
0, 2
Factor 0 + 2/5*m**2 + 6/5*m.
2*m*(m + 3)/5
Suppose -3*o + 75 = 21. Let m be (8/(-28))/(o/(-14)). Determine k so that 0 + 2/9*k + m*k**2 = 0.
-1, 0
Let 12*r + 3/2*r**4 - 3*r**3 - 9/2*r**2 - 6 = 0. What is r?
-2, 1, 2
Suppose -4*b - 135 = -147. Let o(r) be the first derivative of 0*r**3 + 0*r + 3/2*r**2 - 33/4*r**4 - 54/5*r**5 - 4*r**6 + b. Let o(z) = 0. What is z?
-1, -1/2, 0, 1/4
Let p(k) be the second derivative of -5*k**4/12 - 5*k**3/3 + 15*k**2/2 - 24*k. Factor p(a).
-5*(a - 1)*(a + 3)
Suppose d - 2*j - 1 = -5, -5*d - j = -24. Let i(r) be the first derivative of 2 - r**2 + 0*r - 2*r**3 - 3/2*r**d - 2/5*r**5. Factor i(f).
-2*f*(f + 1)**3
Factor 7*l**2 + 9 - 9 - 11*l**2.
-4*l**2
Let w(u) = u**2 - 3*u - 1. Let f(q) = 2*q**2 - 8*q - 2. Suppose 3*v - 51 + 6 = 0. Suppose 7*m = 2*m + v. Let j(l) = m*f(l) - 8*w(l). Factor j(p).
-2*(p - 1)*(p + 1)
Let t(v) = v**4 - 3*v**3 + 2*v**2 + 6*v. Let z(g) = -4*g**4 + 9*g**3 - 7*g**2 - 19*g. Let s(f) = 7*t(f) + 2*z(f). Suppose s(q) = 0. What is q?
-2, 0, 1
Let j(w) be the third derivative of -1/10*w**5 + 0*w + 0 + 4*w**2 + 7/16*w**4 + 1/2*w**3. Solve j(f) = 0.
-1/4, 2
Solve 0*b**3 + 3*b**2 - 2*b**3 + 8*b**3 + 1 - 4 - 6*b = 0 for b.
-1, -1/2, 1
Let q(k) be the first derivative of -k**6/1800 - k**5/300 - k**4/120 - k**3 + 3. Let s(g) be the third derivative of q(g). Factor s(t).
-(t + 1)**2/5
Let g(o) = -2*o**5 - 17*o**4 + 23*o**3 - 7*o**2 - 2*o. Let w(b) = -b**5 - b**4 + b**3 + b**2 - b. Let n(i) = g(i) - 5*w(i). Let n(u) = 0. Calculate u.
0, 1
Let j(k) be the second derivative of -k**6/480 + k**5/240 + k**4/96 - k**3/24 - 7*k**2/2 + k. Let n(d) be the first derivative of j(d). Solve n(y) = 0 for y.
-1, 1
Suppose 2*c + c - 6 = 0. Let w be (27/18)/(c/4). Determine o so that 1/2*o**w + 0 - 1/2*o**5 + 0*o**2 + 0*o**4 + 0*o = 0.
-1, 0, 1
Let 0*o + 4/7*o**3 + 2/7*o**2 + 0 + 2/7*o**4 = 0. Calculate o.
-1, 0
Find s, given that 5/4*s**3 + 1/4*s**4 + 2*s**2 + 0 + s = 0.
-2, -1, 0
Let j(x) be the second derivative of 3*x**5/20 + x**4/4 - x**3 + 2*x. Factor j(w).
3*w*(w - 1)*(w + 2)
Let p(t) be the third derivative of t**6/1260 + t**5/210 + t**4/84 - t**3/6 + 4*t**2. Let s(d) be the first derivative of p(d). Determine w so that s(w) = 0.
-1
Let k(x) = -x + 2. Let q be k(3). Let w be -2 + q - (-39)/12. Factor -w*l**2 + 1/4 + 0*l.
-(l - 1)*(l + 1)/4
Let p(c) be the second derivative of -121*c**6/60 - 99*c**5/20 - 37*c**4/24 + 3*c**3 - c**2 + 5*c. Factor p(t).
-(t + 1)**2*(11*t - 2)**2/2
Let g(j) be the first derivative of 7*j**6/2 - 3*j**5 - 12*j**4 - 4*j**3 - 18. Determine v so that g(v) = 0.
-1, -2/7, 0, 2
Let -5*j**2 - 5*j - 5*j**3 - 3*j**2 - 2*j**2 = 0. What is j?
-1, 0
Let j be (-156)/(-65)*2/6. Let b(c) be the first derivative of -8/5*c**3 - 2/5*c - 1 + 6/5*c**2 + j*c**4. Suppose b(l) = 0. What is l?
1/2
Suppose 0 = q + 5*v + 17, -2*q + 4*q = 5*v + 26. Let x be 3 - 0 - (1 + 1). Determine o so that 0*o + q*o**4 + x - 2*o**2 + 3*o - 2*o**4 - 6*o**3 + 3*o**5 = 0.
-1, -1/3, 1
Let f = 7801/40 - 195. Let y(p) be the third derivative of 1/48*p**4 + 1/120*p**6 + 3*p**2 + 0*p**3 + f*p**5 + 0*p + 0. Factor y(x).
x*(x + 1)*(2*x + 1)/2
Let r(l) be the second derivative of 0*l**2 + 23/210*l**6 - 27/140*l**5 + 0 + 13/84*l**4 - 1/21*l**3 - 7*l - 1/42*l**7. Factor r(n).
-n*(n - 1)**3*(7*n - 2)/7
Suppose 12*q**3 + 4*q - 19*q**2 + 0*q + 7*q**2 - 9*q**4 + 5*q**4 = 0. What is q?
0, 1
Let l(u) be the second derivative of u + 0*u**2 + 5/6*u**4 - 3/5*u**6 + 0 - 3/10*u**5 - 1/3*u**3. Factor l(x).
-2*x*(x + 1)*(3*x - 1)**2
Let b = -1 + 5. Let 0 + 2/3*u**2 + 2/9*u**b - 2/9*u - 2/3*u**3 = 0. Calculate u.
0, 1
Let l be 3/18 + 43/3. Let k = l - 14. Factor 0*g - 1/2*g**2 - 1/2*g**5 + 1/2*g**3 + 0 + k*g**4.
-g**2*(g - 1)**2*(g + 1)/2
Let d be (-190)/133*14/(-16). Let z(y) be the second derivative of 3/2*y**2 + 3/8*y**4 + 4*y + 0 - d*y**3. Let z(h) = 0. Calculate h.
2/3, 1
Factor -2/9*y**2 - 10/9*y + 0 + 10/9*y**3 + 2/9*y**4.
2*y*(y - 1)*(y + 1)*(y + 5)/9
Let s be (2/(-8))/(0 - 1). Let k = s - -1/12. Determine j so that -1/3*j**4 + 1/3*j**2 + k*j - 1/3*j**3 + 0 = 0.
-1, 0, 1
Determine j, given that -5*j**5 + 36*j**2 - 16*j**2 - 10*j**2 + 15*j**3 = 0.
-1, 0, 2
Let i(n) be the first derivative of -3/5*n**5 + n**3 + 0*n + 0*n**4 - 6 + 0*n**2. Determine g so that i(g) = 0.
-1, 0, 1
Factor -2/23*r**2 - 8/23*r - 6/23.
-2*(r + 1)*(r + 3)/23
Let h(r) = 33*r**3 + r**2 - 2*r + 5. Let v be h(4). Let l = 14899/7 - v. Find z such that -l*z - 2/7*z**3 - 12/7*z**2 - 16/7 = 0.
-2
Suppose l + 5*d - 4 = 6, 2*l - 3*d = 7. Let y be -1 + 0 + l + -2. Find u such that 27 - 18*u - 5*u**2 + u**2 + 4*u**y + 3*u**2 = 0.
3
Let h(k) be the first derivative of 2*k**6/27 + 2*k**5/5 + k**4/6 - 8*k**3/27 + 18. Solve h(x) = 0.
-4, -1, 0, 1/2
Let u(o) = -4*o**2 - 4*o - 3. Let n(c) = -3*c**2 - 3*c - 2. Let k(a) = -3*n(a) + 2*u(a). Factor k(y).
y*(y + 1)
Let c(l) be the third derivative of -l**8/252 - 2*l**7/105 + 4*l**5/45 - 10*l**2. Solve c(g) = 0.
-2, 0, 1
Solve 4 - 10 + 2 - 6*t - t**2 - 5 = 0 for t.
-3
Let o(z) be the first derivative of -z**7/840 + z**6/480 + z**5/120 + z**2/2 - 2. Let h(d) be the second derivative of o(d). Suppose h(x) = 0. What is x?
-1, 0, 2
Suppose 4*k = 6*k - 4. Let j be (-1)/(-1) - (-3)/(-9). Factor 2/3*b**k + 4/3*b + j.
2*(b + 1)**2/3
Suppose 0 = 2*g + 5*z + 34 + 84, 246 = -4*g - 5*z. Let q be ((-2)/(-8))/((-56)/g). Let -q*s + 2/7 + 2/7*s**3 - 2/7*s**2 = 0. What is s?
-1, 1
Let i be ((-12)/(-15))/((-4)/(-10)). Factor -11*b**4 - 14*b**2 - 6*b**4 - 4*b - 45*b**3 - 8*b**4 - 10*b**i.
-b*(b + 1)*(5*b + 2)**2
Suppose -7*j + 20 = -2*j. Let d(u) be the first derivative of 1/4*u**j - 1/3*u**3 + 1/6*u**2 - 1/15*u**5 + 1 + 0*u. Let d(q) = 0. Calculate q.
0, 1
Let y(r) = r**3 + 12*r**2 - 10*r - 9. Let l be y(-13). Let w be (1/3)/((-8)/l). Factor 1/5 + 0*p**3 - 2/5*p**w + 1/5*p**4 + 0*p.
(p - 1)**2*(p + 1)**2/5
Let r(d) = 2*d**2 - d - 4. Let p(q) = -q + 4. Let i be p(0). Let t(v) = 2*v - v**2 + 4 - v**2 + 0*v**2. Let b(h) = i*r(h) + 3*t(h). Factor b(x).
2*(x - 1)*(x + 2)
Let w = -528/7 - -78. Factor -w - 12/7*j - 2/7*j**2.
-2*(j + 3)**2/7
Let k(p) be the first derivative of -p**4/19 + 2*p**3/57 + 2*p**2/19 - 2*p/19 + 4. Find r, given that k(r) = 0.
-1, 1/2, 1
Let c = 8 - 9. Let y(s) = 100*s**5 + 129*s**4 + 28*s**3 - 9*s**2 + 4*s - 6. Let o(u) = u**4 - u + 1. Let b(d) = c*y(d) - 6*o(d). Let b(h) = 0. Calculate h.
-1, -2/5