 k.
(k + 1)*(k + 3)/4
Suppose -16 = 4*v - 24. Solve -1/7*c**v + 6/7*c - 9/7 = 0.
3
Let z = 40 - 40. Factor 0*x - 4/5*x**2 + z.
-4*x**2/5
Let q(y) = -10*y**4 - 4*y**3 - 8*y - 2. Let a(j) = j**4 + j. Let r(k) = -12*a(k) - q(k). Factor r(o).
-2*(o - 1)**3*(o + 1)
Suppose 13 = 4*w - u, 0 = 4*w - 0*u + 2*u + 2. Let m(a) be the third derivative of 1/60*a**5 + 0 - a**w + 1/24*a**4 + 0*a**3 + 0*a. Solve m(y) = 0 for y.
-1, 0
Let w(p) be the second derivative of -1/36*p**4 - 1/540*p**6 + 0*p**2 - 1/90*p**5 + 0 - 1/3*p**3 - 2*p. Let o(s) be the second derivative of w(s). Factor o(c).
-2*(c + 1)**2/3
Let i(w) be the second derivative of 3*w**4/4 - 5*w**3 - 12*w**2 - 14*w. Let i(p) = 0. Calculate p.
-2/3, 4
Let o(l) be the second derivative of 0 - 1/168*l**7 - 3*l + 0*l**4 + 1/40*l**5 - 1/120*l**6 + 0*l**2 + 0*l**3. Factor o(h).
-h**3*(h - 1)*(h + 2)/4
Let m(u) be the second derivative of -2*u + 1/39*u**3 + 1/130*u**5 + 0 - 1/39*u**4 + 0*u**2. Solve m(a) = 0 for a.
0, 1
Suppose 20 - 5 = 3*n + 3*z, 0 = -4*n - 3*z + 17. Suppose 3*d**n + 9*d - 4*d**2 - 6*d - 4*d = 0. What is d?
-1, 0
Solve 0*n + 8/17*n**3 + 0 - 16/17*n**2 - 98/17*n**5 + 196/17*n**4 = 0 for n.
-2/7, 0, 2/7, 2
Suppose 5*u - 13 = 2. Let o(i) be the first derivative of -u + 0*i**3 - 1/2*i**4 + 0*i + 0*i**2 + 4/5*i**5. Solve o(k) = 0 for k.
0, 1/2
Suppose 6*o + 5*o**3 - 3*o**3 + 2 + 15*o**2 - 9*o**2 = 0. Calculate o.
-1
Suppose 0 = -7*g - 2 + 16. Let f(z) be the first derivative of -1/9*z**2 + 0*z**5 + g + 1/9*z**4 + 0*z**3 - 1/27*z**6 + 0*z. Find w, given that f(w) = 0.
-1, 0, 1
Let j(h) be the second derivative of 2/5*h**2 + 7/100*h**5 + 3*h + 0 + 2/3*h**3 + 23/60*h**4. Factor j(t).
(t + 1)*(t + 2)*(7*t + 2)/5
Let j = 2157/7 - 307. Find q, given that 2/7*q**2 - 8/7*q + j = 0.
2
Let l(w) be the third derivative of 4*w**7/315 - w**6/30 - 2*w**5/45 - 10*w**2. Find i, given that l(i) = 0.
-1/2, 0, 2
Suppose -3*o = -o - 8. Suppose 0 = 2*j - o - 0. Let -2/11 - 8/11*y - 8/11*y**j = 0. Calculate y.
-1/2
Suppose -2*f - 2*f = 24. Let u be (f/4)/((-1)/2). Factor 2*g**u - 4 + 4 + 2*g**2.
2*g**2*(g + 1)
Let c(y) be the first derivative of -y**3 - 21*y**2/2 - 18*y + 22. Factor c(v).
-3*(v + 1)*(v + 6)
Factor 0*t**3 - 6/17*t**2 + 4/17*t + 0 + 2/17*t**4.
2*t*(t - 1)**2*(t + 2)/17
Let w = -2/233 - -1878/1631. Factor -24/7*o - 12/7*o**3 + 2/7*o**4 + w + 26/7*o**2.
2*(o - 2)**2*(o - 1)**2/7
Let n(q) be the second derivative of -q**7/630 - 2*q**6/45 - 8*q**5/15 + 5*q**4/12 - 3*q. Let s(r) be the third derivative of n(r). Factor s(v).
-4*(v + 4)**2
Let j(f) = -8*f**3 - 24*f**2 + 32*f. Let b(v) = -7*v**3 - 25*v**2 + 32*v. Let l(o) = 4*b(o) - 3*j(o). Let l(p) = 0. Calculate p.
-8, 0, 1
Let g(d) be the first derivative of d**6/360 + d**5/120 - d**3/3 + 5. Let f(q) be the third derivative of g(q). Let f(m) = 0. Calculate m.
-1, 0
Suppose -3*l = 4*b + 2, 2*l - 5*b - 11 = 3. Determine p so that -2*p**l + 44 - 44 - p - p**3 = 0.
-1, 0
Let g = 3 - 2. Factor -g + 2*v**2 + 3*v - v**5 - 2*v**3 + 4 - 2 - 3*v**4 + 0*v**4.
-(v - 1)*(v + 1)**4
Let a(c) be the third derivative of -c**6/30 + 4*c**5/15 - 2*c**4/3 + 9*c**2. Find i, given that a(i) = 0.
0, 2
Let v(j) be the first derivative of 2*j**5/75 - 2*j**3/45 + 1. Let v(s) = 0. What is s?
-1, 0, 1
Suppose 0*l - 5*l + 4*j = -35, 2*l = -j + 1. Find a, given that 1 - a**2 - l - 3 + 6 = 0.
-1, 1
Let c(g) be the third derivative of g**8/16800 + g**7/2100 + g**6/900 - g**4/24 - 3*g**2. Let a(w) be the second derivative of c(w). Factor a(d).
2*d*(d + 1)*(d + 2)/5
Let t be (1 - 1) + (1 - -1). Let f = 7/27 - -2/27. Factor -2/3*w - f - 1/3*w**t.
-(w + 1)**2/3
Suppose 0 = -10*d + 227 + 43. Suppose 10 = -22*o + d*o. Determine a, given that 0 + 2/5*a + 2/5*a**o = 0.
-1, 0
Let q(b) be the second derivative of 3*b**5/10 + b**4/4 - 5*b**3/2 + 3*b**2 + 3*b - 8. Factor q(m).
3*(m - 1)*(m + 2)*(2*m - 1)
Let c(g) = 11*g**2 - 12*g + 11. Let q(b) = -16*b**2 + 18*b - 16. Let w(r) = 7*c(r) + 5*q(r). Factor w(u).
-3*(u - 1)**2
Let u(k) be the third derivative of k**6/1440 + k**5/480 - k**4/48 + k**3/2 - 9*k**2. Let d(y) be the first derivative of u(y). Solve d(m) = 0.
-2, 1
Let p = -13681/10 - -2611/2. Let k = 63 + p. Solve 4/5*q**2 + 1/5*q**3 + k + q = 0.
-2, -1
Let n = 300 + -1499/5. Factor 0*q + n*q**2 - 1/5.
(q - 1)*(q + 1)/5
Let m(z) = -13*z**2 + 3*z + 2. Let f(w) = -w**2. Let i(k) = -22*f(k) + 2*m(k). Factor i(o).
-2*(o - 2)*(2*o + 1)
Let p(w) be the third derivative of w**5/15 + 5*w**4/3 - 22*w**3/3 + w**2. Let p(y) = 0. What is y?
-11, 1
Let i = -8 - 20. Let b = -28 - i. Factor 0*t**2 - 3/2*t**3 + 0 - 3/4*t**4 + b*t.
-3*t**3*(t + 2)/4
Let 6*x + 3*x**4 + 2*x**2 + 25 + 3*x + x**2 - 31 - 9*x**3 = 0. Calculate x.
-1, 1, 2
Let l(a) be the second derivative of -1/15*a**4 + 0 + 0*a**2 + a - 3/100*a**5 - 1/30*a**3. Factor l(k).
-k*(k + 1)*(3*k + 1)/5
Suppose j = 3*j - 2, 2*w - 2*j + 46 = 0. Let y = w - -45/2. Let k**2 - 4*k**3 + 0 + y*k = 0. Calculate k.
-1/4, 0, 1/2
Let y(q) = 45*q**3 - 15*q**2 + 20*q + 25. Let k(n) = -11*n**3 + 4*n**2 - 5*n - 6. Let s(l) = 25*k(l) + 6*y(l). Factor s(a).
-5*a*(a - 1)**2
Let k(z) = 4*z**2 + 8*z + 1. Let d(w) = 36*w**2 + 72*w + 8. Let x(t) = 3*d(t) - 28*k(t). Find r such that x(r) = 0.
-1
Let a(h) = 3*h**2 + 13*h - 15. Let y be a(-7). Let k = y - 39. Factor 0*n + 0 + 7/4*n**3 + 1/2*n**k.
n**2*(7*n + 2)/4
Let f(t) be the second derivative of 0 - 3/5*t**2 + 0*t**4 + 5*t - 3/10*t**3 + 3/100*t**5. Factor f(r).
3*(r - 2)*(r + 1)**2/5
Let r(x) be the first derivative of x**4/4 - x**3 - 20. Suppose r(d) = 0. What is d?
0, 3
Let x(u) = -u**2 - 2*u + 1. Let r be x(-2). Suppose 4*n = -4*q - q + r, 3*q = 4*n - 25. Let 0*z**2 + 0*z + 0 - 6/7*z**n - 4/7*z**3 = 0. What is z?
-2/3, 0
Let w(i) be the first derivative of -i**3/6 + 2*i + 16. Factor w(u).
-(u - 2)*(u + 2)/2
Suppose 0 = 5*x - w - 11, -2*w = 2*x - 5*w + 6. Factor -2/3 - y + 1/3*y**x + 0*y**2.
(y - 2)*(y + 1)**2/3
Let x be 16/42*(-3)/(-2). Suppose -51*y = -45*y. Find u such that 2/7*u**4 + y*u + x*u**3 + 0 + 2/7*u**2 = 0.
-1, 0
Let m(d) = 2*d + 8 + 3 - 3*d + 0*d. Let x be m(9). Solve -4/11*v**4 - 2/11 - 2/11*v**3 + 2/11*v + 6/11*v**x = 0 for v.
-1, 1/2, 1
Factor 0 + 0*c**3 - 1/2*c**4 + 3/2*c**2 + c.
-c*(c - 2)*(c + 1)**2/2
Determine j, given that -4*j**3 - 4*j**3 - 6*j**4 - 13*j**3 + 6*j**2 - 6*j**5 + 27*j**4 = 0.
0, 1/2, 1, 2
Let v = 8 - 6. Determine h, given that -3*h**3 + 0*h**2 + v*h**2 + h**2 = 0.
0, 1
Let a = -1 + 6. Let l = -3 + a. Solve -k**2 + 2*k - k**l - 3*k + 4 - k = 0 for k.
-2, 1
Let i(a) = -6*a**2 - 15*a + 12. Let m(b) = b**3 + 7*b**2 + 16*b - 12. Let f(p) = -4*i(p) - 3*m(p). Determine h so that f(h) = 0.
-2, 1, 2
Suppose 6 = x - 4*x. Let d(y) = -y + 3. Let k be d(x). Factor 2*t**4 - 2/3 - 4/3*t**3 + 2*t - 2/3*t**k - 4/3*t**2.
-2*(t - 1)**4*(t + 1)/3
What is w in 3/5*w - 1/5*w**2 + 4/5 = 0?
-1, 4
Let u be 3 + 7 + (-1)/1. Let a = 11 - u. Solve 0 - 1/4*d**a + 0*d = 0 for d.
0
Suppose 446 = 5*s + 3*x, -s + 2*x - 7 = -104. Let k = s + -815/9. Suppose 0*r**2 - 2/9*r**4 + 2/9 + k*r - 4/9*r**3 = 0. What is r?
-1, 1
Let r(a) be the first derivative of 2/15*a**3 + 5 + 0*a - 2/5*a**2. Factor r(m).
2*m*(m - 2)/5
Let g(u) be the first derivative of 48*u**5/5 - 6*u**4 - 7*u**3 - 3*u**2/2 - 5. Solve g(w) = 0 for w.
-1/4, 0, 1
Let c(g) be the first derivative of -5*g**4/4 - 35*g**3/3 - 55*g**2/2 - 25*g - 7. Factor c(w).
-5*(w + 1)**2*(w + 5)
Let v = -71 + 427/6. Let n(o) be the third derivative of -1/60*o**5 - 1/12*o**4 + 0 + o**2 + 0*o - v*o**3. Factor n(y).
-(y + 1)**2
Let v(x) be the third derivative of x**6/360 + x**5/120 + x**3/2 + x**2. Let u(d) be the first derivative of v(d). Solve u(i) = 0.
-1, 0
Let c(y) = -81*y**4 - 15*y**3 + 81*y**2 + 48*y. Let n(m) = -5*m**4 - m**3 + 5*m**2 + 3*m. Let v(z) = 2*c(z) - 33*n(z). Factor v(u).
3*u*(u - 1)*(u + 1)**2
Suppose 5*k + 0 = -2*t + 9, -5*t + 4*k = -6. Suppose 5*b - 3*d - 10 + 1 = 0, 2*d + t = 2*b. What is c in -c + 5*c**5 - 4*c**b - 3*c**5 + 3*c = 0?
-1, 0, 1
Let z(d) be the first derivative of d**7/2940 + d**6/630 - d**5/420 - d**4/42 - d**3/3 - 2. Let x(v) be the third derivative of z(v). Factor x(p).
2*(p - 1)*(p + 1)*(p + 2)/7
Let o(x) be the second derivative of -x**4/2 - x**3/2 + 6*x. Factor o(y).
-3*y*(2*y + 1)
Factor 0*a + 2/9*a**3 + 0*a**2 + 0.
2*a**3/9
Let n be