*(s - 1)*(s + 1)/3
Let h(b) be the second derivative of b**6/210 - 3*b**5/140 + b**4/28 - b**3/42 + 3*b. Suppose h(f) = 0. What is f?
0, 1
Suppose 10*h - 5*h = 15. Suppose 0 = -4*p + h*p. Factor 0*q + p + 1/2*q**2 - 1/2*q**3.
-q**2*(q - 1)/2
Suppose 0*v + 2*v = 4. Suppose 0*i + v*i = 0. Find z, given that 1/2*z + i + 1/2*z**3 + z**2 = 0.
-1, 0
Let v(m) be the third derivative of m**5/20 - 3*m**4/2 + 18*m**3 - 17*m**2. Factor v(w).
3*(w - 6)**2
Let u = 1/27 + 23/108. Let f(n) be the second derivative of 0 - n + 1/48*n**4 + u*n**2 - 1/8*n**3. Let f(q) = 0. What is q?
1, 2
Let a be 2/(-7) + 6/21. Let s(i) be the third derivative of -1/525*i**7 + 0*i**5 + i**2 + a*i**4 + 0*i**3 + 0*i**6 + 0 + 0*i - 1/840*i**8. Factor s(f).
-2*f**4*(f + 1)/5
Let g = -85/12 + 39/4. Let i = g - 13/6. Solve j + i + 1/2*j**2 = 0.
-1
Let u(b) = -5*b**2 - 20*b - 15. Let j(i) = i**2 + i + 1. Let s(o) = 15*j(o) + u(o). Let s(t) = 0. What is t?
0, 1/2
Let t(h) be the first derivative of -2*h**3/9 - h**2/3 + 2. Let t(o) = 0. What is o?
-1, 0
Factor 0 - 18/7*p + 12/7*p**2 - 2/7*p**3.
-2*p*(p - 3)**2/7
Let h(m) = -m**3 + 4*m**2. Let g be h(5). Let t be ((-10)/g)/((-8)/(-10)). Solve -9/2*f**4 - 21/2*f**3 - 1 - t*f**2 + 9/2*f = 0.
-2, -1, 1/3
Let a(h) = h**3 + 6*h**2 - 7*h + 4. Let f be a(-7). Solve 2*k + 3*k + f*k + 3*k**2 + 6 = 0 for k.
-2, -1
Let x(q) = -4*q**2 - 5*q - 1. Let c = -5 + 9. Let a(g) = 5*g**2 + 6*g + 1. Let w(n) = c*x(n) + 3*a(n). Let w(f) = 0. Calculate f.
-1
Factor 30*c**3 - 16*c**2 + 8/3*c + 0 - 50/3*c**4.
-2*c*(c - 1)*(5*c - 2)**2/3
Let x = -320 - -641/2. Find m such that 0 + 1/2*m**2 - x*m = 0.
0, 1
Let y(r) = -r - 1. Let l be y(-3). Factor -6*s**4 + 4*s**2 - s**2 - 3*s**5 + 3*s**l + 3*s.
-3*s*(s - 1)*(s + 1)**3
Let h(z) = 0*z + 12*z**3 - 19*z**3 - 3*z + 5 + 3*z**2. Let m(b) = -6*b**3 + 2*b**2 - 3*b + 4. Let n = 8 - 3. Let o(p) = n*h(p) - 6*m(p). Factor o(x).
(x + 1)**3
Let o be 122/8 - (-2)/(-8). Suppose -5*n - 5*w = -o, -4*n + 3*w + 2 + 17 = 0. Factor i - 4 + 0*i**2 - i**2 - n*i**4 + 12*i**3 - 13*i.
-(i - 2)**2*(2*i + 1)**2
Suppose 3*p - 2*v - 10 = 0, p - 4*v = 6*p - 24. Let d(l) be the first derivative of 2/3*l + 2 + 1/6*l**p + l**2 + 2/3*l**3. Factor d(z).
2*(z + 1)**3/3
Determine j, given that 3*j**2 + 4 - 3*j**3 + 21*j + 1 - 9*j - 17 = 0.
-2, 1, 2
Let o(h) be the third derivative of h**6/90 - 2*h**5/45 + h**4/18 + 2*h**2. Determine g so that o(g) = 0.
0, 1
Let v be 7 + -7 + (-12)/(-16). Solve -3/2*t**3 + 3/4*t**2 + 3/2*t - v = 0 for t.
-1, 1/2, 1
Let 16/3*o - 32/9 + 2/9*o**3 - 2*o**2 = 0. Calculate o.
1, 4
Let i(t) be the first derivative of -t**6/15 - 4*t**5/5 - 4*t**4 - 32*t**3/3 - 16*t**2 - 64*t/5 - 23. Factor i(d).
-2*(d + 2)**5/5
Let p = -293 - -293. Determine g so that -3/5*g**2 - 3/5*g**4 + p + 0*g - 6/5*g**3 = 0.
-1, 0
Let h(m) be the third derivative of m**5/30 - m**4/6 + m**3/3 + 8*m**2. Factor h(s).
2*(s - 1)**2
Factor -3/7 + 3/7*d**2 + 3/7*d - 3/7*d**3.
-3*(d - 1)**2*(d + 1)/7
Let b be (8 - -5)/(1*-1). Let j(g) = 15*g**2 + 2*g - 4. Let t(x) = 7*x**2 + x - 2. Let z(m) = b*t(m) + 6*j(m). Let z(v) = 0. What is v?
-2, 1
Let r be (6/4)/((-2)/(-12)). Let y = -7 + r. Factor -6/5*k**3 - 3/5*k**4 + 0*k**y + 6/5*k + 3/5.
-3*(k - 1)*(k + 1)**3/5
Let k(c) be the third derivative of -4*c**7/105 + 3*c**6/20 + c**5/15 - 3*c**4/4 + 2*c**3/3 - 7*c**2. Find a, given that k(a) = 0.
-1, 1/4, 1, 2
Factor 42*o**3 - 11*o**2 - 9*o**3 - 4*o**4 - 4*o - 14*o**3.
-o*(o - 4)*(o - 1)*(4*o + 1)
Let h(v) be the third derivative of -v**7/210 - v**6/12 - 2*v**5/5 - 11*v**4/12 - 7*v**3/6 - 54*v**2. What is l in h(l) = 0?
-7, -1
Let q(t) be the second derivative of 2/5*t**5 - t**2 + 0 - 4/3*t**3 + 1/6*t**4 - 3*t. Find z such that q(z) = 0.
-1, -1/4, 1
Let x = 55 - 34. Let m = 29 - x. Factor m*i - 4*i**2 - 2*i + i**2.
-3*i*(i - 2)
Let x be 4/(3/3 + 1). Let s(k) be the first derivative of -1/8*k**x - 2 + 1/4*k**3 - 3/16*k**4 + 1/20*k**5 + 0*k. Find y, given that s(y) = 0.
0, 1
Let r(n) = -5*n**3 + n. Let u be r(-1). Suppose 2*j = u*j - 8. Solve -d**4 - 2*d + j*d - 2*d**3 + 1 + 0*d + 0*d = 0.
-1, 1
Let m(q) be the second derivative of -q**4/96 + 19*q. Suppose m(y) = 0. Calculate y.
0
Determine w, given that 165*w**4 + 25*w**2 + 177*w**4 - 87*w**4 + 89*w**5 - 445*w**3 + 46*w**5 + 30*w = 0.
-3, -2/9, 0, 1/3, 1
Suppose -3*y = x - 8, -2*x + 5*y = 2*y + 2. Factor 2*g**3 + 0 + 8/7*g + 32/7*g**x.
2*g*(g + 2)*(7*g + 2)/7
Let l(p) be the second derivative of p**4/12 + p**3 + 9*p**2/2 + 2*p. Let i be l(-7). Let 2 + 5*y**3 - 6 + 2*y + i*y**2 + 5*y**3 = 0. What is y?
-1, 2/5
Suppose -4*g + z = -16, 0*g - 23 = -g + 5*z. Let o**g + 2/5*o + 7/5*o**2 + 0 = 0. What is o?
-1, -2/5, 0
Let d(w) be the third derivative of w**7/2100 - w**6/900 + w**3/3 + 3*w**2. Let j(q) be the first derivative of d(q). Factor j(m).
2*m**2*(m - 1)/5
Factor 1 - 1/2*w**2 + 1/2*w.
-(w - 2)*(w + 1)/2
Let m = 23 - 21. Solve -12*v**2 - 28*v**5 - 7*v**m - 8*v + 4*v**2 + 36*v**3 + 20*v**4 - 5*v**2 = 0.
-1, -2/7, 0, 1
Suppose 4*z + 20 = g, -4*g + 3 = z - 9. Find l such that 9*l**3 + g*l**4 + 2*l + l - 9*l**2 - 3*l**4 - 4*l**4 = 0.
0, 1
Suppose 0 = -4*w + x + 37, -x = 4*w + x - 22. Let u(y) be the first derivative of -1 + 2/3*y**3 + w*y + 4*y**2. Factor u(c).
2*(c + 2)**2
Let z(l) be the third derivative of l**7/4200 - l**6/1200 - l**4/8 - 4*l**2. Let x(m) be the second derivative of z(m). Factor x(y).
3*y*(y - 1)/5
Let o(f) be the third derivative of -1/480*f**6 + 1/1344*f**8 + 0*f + 0 + 0*f**3 - 1/420*f**7 + f**2 + 0*f**4 + 1/120*f**5. Determine m so that o(m) = 0.
-1, 0, 1, 2
Let l(b) be the first derivative of 4*b**6/3 - 22*b**5/5 + b**4/2 + 26*b**3/3 - 5*b**2 - 4*b + 27. Find c such that l(c) = 0.
-1, -1/4, 1, 2
Let w(x) be the first derivative of -x**6/6 + 3*x**4/4 - 2*x**3/3 - 23. Factor w(s).
-s**2*(s - 1)**2*(s + 2)
Factor 0*z - 3/5*z**3 + 0*z**4 + 0*z**2 + 3/5*z**5 + 0.
3*z**3*(z - 1)*(z + 1)/5
Let i be -4*(-3)/(-14)*20/(-60). Let 0 - i*m**2 + 4/7*m = 0. What is m?
0, 2
Let c = -23033/7 + 3297. Suppose 18/7 + 60/7*u - c*u**2 + 8/7*u**3 = 0. Calculate u.
-1/4, 3
Let w(v) be the third derivative of v**8/70560 + v**7/17640 - v**6/1260 + v**5/60 - 3*v**2. Let s(z) be the third derivative of w(z). Factor s(u).
2*(u - 1)*(u + 2)/7
Let r(d) = -d**5 + d**4 - d**3 + d. Let o(p) = -4*p**5 + 12*p**4 - 4*p**3 - 6*p**2 + 2*p. Let x(q) = o(q) - 6*r(q). Factor x(a).
2*a*(a - 1)*(a + 1)**2*(a + 2)
Suppose 3*w - 3*v = 18, -4*w - 4*v + 8 = -0. Let u be (0 - (w + -2))/(-1). Let 2/5*o**3 - 2/5*o + 0 - 6/5*o**4 + 6/5*o**u = 0. What is o?
-1, 0, 1/3, 1
Factor -2*y**3 + y**2 + 2 - 3*y - 3*y - y**2 + 6*y**2.
-2*(y - 1)**3
Let x(i) be the second derivative of -i**5/90 + i**4/54 + 2*i**3/27 - 8*i. Factor x(m).
-2*m*(m - 2)*(m + 1)/9
Let l(m) = m**3 - m + 3. Let i = 3 - 3. Let y be l(i). Suppose -1/3*u - 1/3 + 1/3*u**2 + 1/3*u**y = 0. Calculate u.
-1, 1
Determine l, given that -3*l**2 + l**2 + 2 - 6*l - l**2 - 5 = 0.
-1
Let o(d) be the second derivative of -d**6/40 - 3*d**5/40 + 10*d. Factor o(p).
-3*p**3*(p + 2)/4
Let f(z) be the third derivative of -z**8/1008 + z**7/630 + z**6/180 - z**5/90 - z**4/72 + z**3/18 - 5*z**2. Factor f(a).
-(a - 1)**3*(a + 1)**2/3
Let b(i) be the first derivative of i**7/84 + i**6/30 - i**4/12 - i**3/12 + 5*i - 1. Let n(y) be the first derivative of b(y). What is j in n(j) = 0?
-1, 0, 1
Let o = -11/24 - -5/8. Let j(x) be the third derivative of -1/24*x**5 + 0*x - 1/240*x**6 + 0 - 1/3*x**3 + 2*x**2 - o*x**4. Determine i so that j(i) = 0.
-2, -1
Suppose -15 + 3 = -6*c. Let -6/5*m + 2/5*m**c + 4/5 = 0. Calculate m.
1, 2
Suppose -4*x = 5*j - 22, x = 3*j - 0*x - 3. Let q(z) be the first derivative of z**2 + z + j + 1/3*z**3. Factor q(b).
(b + 1)**2
Let d(k) be the third derivative of 0*k + 0*k**4 + 0 + 0*k**3 - 2*k**2 + 1/300*k**5. Let d(a) = 0. What is a?
0
Let i(r) = r**3 - 5*r**2. Let d be i(5). Let k = 11 - 8. Suppose -4*l**3 + 3*l**k + l + d*l = 0. Calculate l.
-1, 0, 1
Let y be ((-700)/(-36))/(-7) - -3. Let j be 1 + (-3)/(-3) + 0. Factor y*c**3 - 2/3*c**j - 2/9 + 2/3*c.
2*(c - 1)**3/9
Suppose b + 3 = -5*w, 3*w + 3 = -2*b + b. Let i(v) = 6*v. Let r(t) = -t**2 + 6*t. Let h(k) = b*r(k) + 2*i(k). Factor h(g).
3*g*(g - 2)
Let v(f) be the second derivative of -f**7/1260 + f**6/540 - f**3 + 2*f. Let q(c) be the seco