.
5*(f + 7)*(4*f - 1)**2
Let l(j) = j**2 - 3*j. Let w be l(4). Suppose -w*p = p - 15. Solve -6*k**2 + 0*k - 2*k**4 - 3*k**3 - 2*k - p*k**3 = 0 for k.
-1, 0
Let m(i) be the first derivative of -i**2 + 2 + 0*i + 2/3*i**3. Factor m(q).
2*q*(q - 1)
Let z(q) be the first derivative of -q**6/2 - 6*q**5/5 + 27*q**4/2 - 32*q**3 + 69*q**2/2 - 18*q - 42. Solve z(a) = 0.
-6, 1
Let v = 184 - 184. Let c(y) be the first derivative of 3/14*y**4 + 4/35*y**5 + 0*y**2 + v*y + 2/21*y**3 - 1. Factor c(d).
2*d**2*(d + 1)*(2*d + 1)/7
Let w(c) = -5*c**2 - 12*c + 11. Let n(q) = -3*q**2 - 6*q + 5. Let h(v) = -7*n(v) + 4*w(v). Factor h(j).
(j - 3)**2
Let d(a) be the third derivative of a**7/945 + a**6/540 - a**5/90 - a**4/108 + 2*a**3/27 - 12*a**2. Suppose d(r) = 0. What is r?
-2, -1, 1
Let 5 - 17 - 4*p - 12*p**3 - 34*p**2 + 70*p**2 - 8*p**4 = 0. What is p?
-3, -1/2, 1
Let r(x) be the second derivative of -x**6/120 + x**5/40 + x**4/48 - x**3/12 - 7*x. Factor r(p).
-p*(p - 2)*(p - 1)*(p + 1)/4
Let o(r) be the second derivative of -r**8/1344 + r**7/840 + r**6/480 - r**5/240 - r**2/2 + 5*r. Let g(a) be the first derivative of o(a). Factor g(d).
-d**2*(d - 1)**2*(d + 1)/4
Solve 2/9*l**2 - 4/9 + 2/9*l = 0 for l.
-2, 1
Let m = 1092 + -98279/90. Let o(f) be the third derivative of 0 + 0*f + 1/180*f**6 + 2*f**2 - 1/315*f**7 + 0*f**3 - 1/36*f**4 + m*f**5. Factor o(n).
-2*n*(n - 1)**2*(n + 1)/3
Let h be -1*1 - (-6060)/(-42). Let t = -145 - h. Factor -2/7*c + t*c**2 + 0.
2*c*(c - 1)/7
Let b(n) be the first derivative of n**6/3 - 4*n**5/5 + 4*n**3/3 - n**2 - 6. Factor b(o).
2*o*(o - 1)**3*(o + 1)
Let z(c) = c**3 + 0*c - 14*c**2 + 2 + 5*c**2 + 8*c. Let o be z(8). Factor -2*i**2 + 0*i - o*i**3 + i + 3*i**3.
i*(i - 1)**2
Suppose a - 10 = 2*h - 3*a, 5*h - a = 11. Let l(k) = -4*k. Let r be l(-1). Suppose -2*p**2 - p**r + 4*p**2 + 2*p**5 - 2*p**h - p**2 = 0. What is p?
-1, 0, 1/2, 1
What is s in 12*s**3 + 21*s**3 + 18*s - 16*s**4 - 44*s**2 + 19*s**3 - 10*s = 0?
0, 1/4, 1, 2
Let a = 216/11 - 926/55. Factor 0 + a*q**2 + 4/5*q.
2*q*(7*q + 2)/5
Let t(y) be the third derivative of 1/30*y**5 + 0 - 1/12*y**4 + y**2 + 0*y**3 + 0*y. Factor t(n).
2*n*(n - 1)
Factor 2/15*u + 2/15*u**3 + 0 + 4/15*u**2.
2*u*(u + 1)**2/15
Let n(s) be the second derivative of 3*s**5/100 - s**4/20 - 9*s. Determine p so that n(p) = 0.
0, 1
Determine a, given that -24*a**3 - 4*a**3 + 21*a + 6*a**2 + 26*a - 43*a = 0.
-2/7, 0, 1/2
Let m(r) be the second derivative of 1/4*r**5 + 2*r + 1/30*r**6 - 2/3*r**3 + 0 + 1/2*r**4 - 4*r**2. Factor m(z).
(z - 1)*(z + 2)**3
Suppose 0*k + 2*k - 4 = 0. Let u = 5 + -3. Find d such that d**k + 0*d**u + 0*d**2 + 4*d + 4 = 0.
-2
Let q(w) = 16*w**4 - 15*w**2 - w - 11. Let n(f) = 3*f**4 - 3*f**2 - 2. Let c(d) = 22*n(d) - 4*q(d). Factor c(k).
2*k*(k - 1)**2*(k + 2)
Let i = -10 - -13. Solve q**4 + 1/3*q**2 + q**i + 1/3*q**5 + 0*q + 0 = 0 for q.
-1, 0
Determine g, given that -15 - 2150*g**4 - 17 + 889*g**3 + 320*g - 897*g**3 + 2368*g**3 - 1248*g**2 + 750*g**5 = 0.
2/5, 2/3, 1
Let l = -32 - -32. Find w such that l*w + 3/5*w**3 + 0 - 9/5*w**2 = 0.
0, 3
Let h = -3807/5 - -763. Solve 2/5*u**3 - h*u**2 + 0*u + 0 = 0 for u.
0, 4
Let l(b) be the second derivative of b**5/4 - 5*b**4/12 - 5*b**3/6 + 5*b**2/2 - 6*b. Suppose l(c) = 0. Calculate c.
-1, 1
Let p be (-7 - -12)/(8/10). Let v = -19/4 + p. Determine g so that v*g - 1 - 1/2*g**2 = 0.
1, 2
Let z be 2/(-7) - (-45849)/21. Let j = z - 1497. Factor -126*h**3 - 152*h + j*h**4 - 420*h**2 + 8 + 28*h**3 - 24.
2*(h - 1)*(7*h + 2)**3
Let z(m) = 2*m + 7. Let r be z(-2). Find n, given that 3/2*n**4 - 2*n**r + 0 + 0*n - 2*n**2 = 0.
-2/3, 0, 2
Let c = 13989/812 - -9/406. Let z = -17 + c. Solve 1/4*o**3 + z*o**2 - 1/4 - 1/4*o = 0.
-1, 1
Suppose 0 = -2*k - 3*s + 6 + 3, k - 3*s = -9. Find x such that -1/4*x - 1/4*x**2 + k = 0.
-1, 0
Solve 3/7*w**4 - 48/7*w + 3*w**3 + 0 + 24/7*w**2 = 0.
-4, 0, 1
Suppose 0 = -2*t - 2*t + 12. Let w = t - 0. Factor -6*n + 6*n - n**w.
-n**3
Let b(k) = 4*k**5 - 6*k**4 - 2*k**2 + 6*k + 6. Let a(n) = 7*n**5 - 12*n**4 - n**3 - 4*n**2 + 11*n + 11. Let d(c) = -6*a(c) + 11*b(c). Factor d(o).
2*o**2*(o + 1)**3
Let w(d) = d**4 - d**2 - d + 1. Let p(h) = 8*h**4 + 20*h**3 + 22*h**2 + 7*h + 3. Let a(o) = p(o) - 3*w(o). Determine j, given that a(j) = 0.
-2, -1, 0
Suppose 1 + l**2 + 18*l - 16*l + 0 = 0. Calculate l.
-1
Let d = -25 - -29. Suppose n = -d*n. Find c, given that n*c - 2/7*c**3 - 2/7*c**2 + 0 + 4/7*c**4 = 0.
-1/2, 0, 1
Factor 8/5*z + 4/5*z**2 + 4/5.
4*(z + 1)**2/5
Factor 23*z**3 + 3*z**5 - 17*z**2 - 13*z**2 + 16*z**3 - 6*z**2 - 18*z**4 + 12*z.
3*z*(z - 2)**2*(z - 1)**2
Let y(n) = 18*n**2 + 6 - 10 - 36*n + 14 + 14 - 6*n**3. Let j(f) = 7*f**3 - 18*f**2 + 36*f - 24. Let t(z) = -3*j(z) - 4*y(z). What is s in t(s) = 0?
2
Suppose 0*v - v - 5 = f, -4*f - 3*v - 15 = 0. Factor 0*g + 2/9*g**3 - 2/9*g**4 + 0 + f*g**2.
-2*g**3*(g - 1)/9
Factor 3/4*w**3 - 12 + 18*w - 27/4*w**2.
3*(w - 4)**2*(w - 1)/4
Factor 2/7*h**2 - 2/7*h**4 + 0 - 4/7*h**3 + 4/7*h.
-2*h*(h - 1)*(h + 1)*(h + 2)/7
Suppose -5*r + 4 = -4*r. Find u such that -5/3*u + 5/3*u**3 - 2/3 - 1/3*u**2 + u**r = 0.
-1, -2/3, 1
Let m = -16 - -18. Determine v, given that 2 + 3 - m*v**2 - 23 + 12*v = 0.
3
Let r = -2/43 - -49/129. Solve 0 - r*y - y**2 = 0.
-1/3, 0
Let k(y) = 10*y**3 - y**2 + 9*y + 9. Let o(i) = i**3 - i**2 + i + 1. Let n(d) = -2*k(d) + 18*o(d). Let n(w) = 0. Calculate w.
-8, 0
Let z(c) be the third derivative of -c**4/24 - c**3/2 - c**2. Let l be z(-9). Factor -4*a**2 + l*a**3 - 6*a + 10*a**4 + 4 - 10*a**2 + 0*a.
2*(a - 1)*(a + 1)**2*(5*a - 2)
Let j(p) = -p**4 + p. Let r(l) = 28*l**4 - 12*l**2 - 16*l. Let m(h) = 24*j(h) + r(h). Let m(x) = 0. Calculate x.
-2, 0, 1
Let q be (-4)/(-3)*18/8. Determine w, given that -7/2*w**4 + 9/2*w**2 + 5/2*w**q - 5/2*w - 1 = 0.
-1, -2/7, 1
Let u = -7/10 + 209/270. Let i(x) be the first derivative of -1 + 0*x - u*x**3 - 1/9*x**2. Find a, given that i(a) = 0.
-1, 0
Let s = 38 - 113/3. Let q(r) be the second derivative of 1/3*r**2 + s*r**3 - 2/9*r**4 - 3*r + 0. Suppose q(u) = 0. What is u?
-1/4, 1
Let z(j) be the first derivative of -j**4 + 8*j**3 - 24*j**2 + 32*j + 8. Factor z(x).
-4*(x - 2)**3
Let g(x) be the second derivative of 98*x**6/45 + 28*x**5/15 - 5*x**4 - 56*x**3/9 - 8*x**2/3 - 16*x. Determine j so that g(j) = 0.
-1, -2/7, 1
Let q(p) be the second derivative of p**7/189 - 4*p**6/135 + p**5/18 - p**4/27 - 22*p. Factor q(l).
2*l**2*(l - 2)*(l - 1)**2/9
Let w(z) be the second derivative of 0 + 3*z + 0*z**2 + 1/4*z**4 + 1/6*z**3 - 7/80*z**5. Suppose w(f) = 0. Calculate f.
-2/7, 0, 2
Let b be (-11)/(-44)*2/3. Let z(v) be the second derivative of b*v**4 + 0*v**2 + 0 - 1/20*v**5 - 1/6*v**3 - v. Suppose z(y) = 0. Calculate y.
0, 1
Let r = -17 - -22. Suppose -r*u + 8 + 7 = 0. Let -5/4*i**2 - 3*i**3 + u*i + 9/4*i**4 - 1 = 0. What is i?
-1, 2/3, 1
Suppose -3*u + 8*u - 81 = -2*q, 5*u - 2*q = 69. Let -3*y**4 - 3*y**4 + 6*y**2 + 21*y**3 - u*y**5 - 6*y**5 = 0. What is y?
-1, -2/7, 0, 1
Let w(s) = 8*s**2 - 36*s + 28. Let q(c) = -c**2 + 5*c - 4. Let k(o) = -44*q(o) - 6*w(o). Find v, given that k(v) = 0.
-2, 1
Factor -5*p**4 + 24*p**3 - 8*p + 20 - 15*p**2 - 12*p - 4*p**3.
-5*(p - 2)**2*(p - 1)*(p + 1)
Let b be (-36)/54 + (-32)/(-30). Suppose 0 - b*a**2 - 6/5*a = 0. What is a?
-3, 0
Factor 0 - 2/5*t**4 - 2/5*t**3 + 0*t + 0*t**2.
-2*t**3*(t + 1)/5
Factor 0 - 2/15*m**2 + 2/15*m + 2/15*m**4 - 2/15*m**3.
2*m*(m - 1)**2*(m + 1)/15
Suppose 61*y**2 + 21*y + 12 - 52*y**2 + y**3 - y = 0. What is y?
-6, -2, -1
Let r(x) be the third derivative of 11*x**5/150 + 13*x**4/60 + 2*x**3/15 + 2*x**2. Find z such that r(z) = 0.
-1, -2/11
Let c(x) be the third derivative of -3*x**7/35 - x**6/5 + x**5/6 + x**4 + 4*x**3/3 + 22*x**2. Let c(i) = 0. What is i?
-1, -2/3, 1
Let p(k) = 2*k**4 - 7*k**3 - 6*k**2 - 7*k - 4. Let z(t) = t**4 - 6*t**3 - 6*t**2 - 6*t - 3. Let a(x) = 2*p(x) - 3*z(x). What is s in a(s) = 0?
-1
Let z(l) be the third derivative of -l**7/5040 + l**6/2160 + l**3 + 6*l**2. Let c(w) be the first derivative of z(w). Factor c(h).
-h**2*(h - 1)/6
Suppose 0 = 2*v - 7*v + 3*s, 8 = -4*v + 4*s. Let l(z) be the second derivative of 0 + 4/15*z**v + 7/100*z**5 + 2*z + 2/5*z**2 - 19/60*z**4. Factor l(i).
(i - 2)*(i - 1)*(7*i + 2)/5
Let p(u) be the second derivative of -3*u**5/100 + 3