*y**2.
3*y*(y - 1)**3*(y + 1)
Suppose -8*d + 12 = -4. Factor -39*c**3 + 0 + 15*c**2 + 4*c - 3*c**d - 12 + 35*c**3.
-4*(c - 3)*(c - 1)*(c + 1)
Let v(k) be the first derivative of 2*k**6/15 + k**5/5 - k**4/3 - 2*k**3/3 + 4*k - 2. Let f(y) be the first derivative of v(y). Solve f(z) = 0 for z.
-1, 0, 1
Let j(k) be the third derivative of 3/10*k**6 + 0*k + 37*k**2 + 74/15*k**5 + 80/3*k**4 + 64/3*k**3 + 0. Factor j(w).
4*(w + 4)**2*(9*w + 2)
Let m(k) = -k - 5. Suppose -3*t - 6 = n, 5*t - 99 = 5*n - 29. Let o be m(n). Factor -16 + 1 + 3*l**2 - 85 - o*l**2 - 40*l.
-4*(l + 5)**2
Let s(j) be the first derivative of -6 + 16/25*j**5 + 4/5*j + 14/5*j**4 - 14/5*j**2 + 11/5*j**3. Factor s(a).
(a + 2)**2*(4*a - 1)**2/5
Let m = 40 + -43. Let x(n) = -n**3 - 2*n**2 + 6*n + 11. Let u be x(m). Factor -3/8*y**3 + 0*y - 3/8*y**4 - 1/8*y**5 - 1/8*y**u + 0.
-y**2*(y + 1)**3/8
Let h(s) be the third derivative of -s**6/210 - 16*s**5/105 - 23*s**4/14 - 60*s**3/7 - 75*s**2. Determine c, given that h(c) = 0.
-10, -3
Let y(o) = 4*o**3 + 119*o**2 - 32*o - 60. Let n be y(-30). Factor n*t + 1/2*t**2 + 0 - 1/4*t**3.
-t**2*(t - 2)/4
Let j = 2/7957 + 15908/23871. Determine h so that 38/3*h - 200/3*h**3 + 160/3*h**2 + j = 0.
-1/10, 1
Let f = -13951 + 13953. Factor 0 + 0*x + 1/4*x**5 - 3/4*x**3 + 0*x**4 - 1/2*x**f.
x**2*(x - 2)*(x + 1)**2/4
Let m = 5 - 4. Suppose 0*y - m = -y. Factor y + 3/2*n + 1/2*n**2.
(n + 1)*(n + 2)/2
Let w be 6/8 + (-168)/(-32). Let f be (w/4)/(20/(-32) - -1). Determine u, given that 0 + 2/3*u**3 - 1/3*u**f - 2/3*u + 1/3*u**2 = 0.
-1, 0, 1, 2
Suppose -q + 36 = -9. Suppose 15*v = 10*v + q. Factor 18*r**2 - v*r + 6 - 34*r**2 + 19*r**2.
3*(r - 2)*(r - 1)
Let g be (-7 - -5)*(29 - 30). Factor 0 + 1/5*s - 1/5*s**g + 1/5*s**4 - 1/5*s**3.
s*(s - 1)**2*(s + 1)/5
Determine q, given that -1/6*q - 1/12*q**2 + 4 = 0.
-8, 6
Let t be (-1)/2 - (4 + (-199)/(-2)). Let d = 105 + t. Factor 9/2*q**4 - 11/2*q**2 - d - 11/2*q + 15/2*q**3.
(q - 1)*(q + 2)*(3*q + 1)**2/2
Let p be -6*6/(-180)*15/12. Find h, given that -1/2*h**2 + 1/2 - p*h + 1/4*h**3 = 0.
-1, 1, 2
Let m be 2/((-1)/((-12)/(-8))). Let p be ((m - -5) + 0)/10. Factor -2/5 + 3/5*f - p*f**2.
-(f - 2)*(f - 1)/5
Let k(i) be the first derivative of -i**2 + 2/3*i**3 - 4*i + 9. Find t such that k(t) = 0.
-1, 2
Suppose -4*b = 3*k - 3, -5*k + k - 27 = -5*b. Let r be 1*1/(2/14). Factor 2*z**4 + 9*z**2 + b*z + 10*z**3 + 5*z + r*z**2.
2*z*(z + 1)*(z + 2)**2
Find k such that 0*k + 0 + 4/7*k**3 + 0*k**2 = 0.
0
What is l in -303/7*l - 3/7*l**2 + 306/7 = 0?
-102, 1
Let w(k) = -2*k**3 + 19*k + 35. Let j(d) = 3*d**3 - 29*d - 52. Let u(r) = -5*j(r) - 7*w(r). Let c(q) be the first derivative of u(q). Factor c(m).
-3*(m - 2)*(m + 2)
Let c(a) be the third derivative of 5/3*a**3 + 3*a**2 - 5/24*a**4 + 0*a + 0 - 4/15*a**5. Let g(j) = 3*j**2 + j - 2. Let o(p) = -6*c(p) - 33*g(p). Factor o(s).
-3*(s - 1)*(s + 2)
Factor -5/2 - 1/6*d**2 - 4/3*d.
-(d + 3)*(d + 5)/6
Let o(b) = -b**4 - 4*b**3 + b**2 + 4. Let d(j) be the first derivative of -2*j**5/5 - 3*j**4/4 + 2*j**3/3 + 3*j + 11. Let r(u) = 4*d(u) - 3*o(u). Factor r(t).
-5*t**2*(t - 1)*(t + 1)
Let s(h) = -3*h - 3. Let u be s(-2). Let p = 231/2 - 115. Factor 0*k**2 + 0*k + 0 + p*k**u.
k**3/2
Let b(m) be the second derivative of m**4/3 + 38*m**3/3 + 36*m**2 - 492*m. Suppose b(l) = 0. What is l?
-18, -1
Let l(g) be the third derivative of -g**6/180 - g**5/9 - 31*g**4/36 - 10*g**3/3 + 22*g**2 + 6*g. Factor l(z).
-2*(z + 2)*(z + 3)*(z + 5)/3
Solve -2/9*m**4 + 0 + 6*m**2 - 8/3*m**3 - 28/9*m = 0.
-14, 0, 1
Let n = 204 - 201. Let p(i) be the first derivative of 1/6*i**4 - 2/15*i**5 + 6 - 1/18*i**6 + 4/9*i**n - 2/3*i - 1/6*i**2. Suppose p(j) = 0. Calculate j.
-2, -1, 1
Let o(w) be the third derivative of -4*w**5/5 + 3*w**4 - 9*w**3/2 + 44*w**2 + 2*w. Solve o(g) = 0.
3/4
Determine h so that -20/7*h**3 - 16/7*h + 0 + 32/7*h**2 + 4/7*h**4 = 0.
0, 1, 2
Let h(u) be the first derivative of 2*u**5/15 - 25*u**4/24 + u**3/3 - 49. Solve h(m) = 0 for m.
0, 1/4, 6
Let k(x) = -x**5 + x**4 - x**3 - 1. Let p(q) = 27*q**4 - 87*q**3 + 120*q**2 - 75*q + 21. Let o(l) = 3*k(l) + p(l). Factor o(t).
-3*(t - 6)*(t - 1)**4
Factor 2/9*d**3 + 14/9*d + 2/3 + 10/9*d**2.
2*(d + 1)**2*(d + 3)/9
Factor 0 + 42*c**2 + 2/7*c**3 + 292/7*c.
2*c*(c + 1)*(c + 146)/7
Let q(r) = -r**3 - 14*r**2 - 5*r - 4. Let t(a) = 2*a**3 + 13*a**2 + 5*a + 3. Let d(w) = -3*q(w) - 4*t(w). Factor d(g).
-5*g*(g + 1)**2
Let n be (1/2)/(2/8). Let l be (6/(-4))/(n/(-4)). Find z such that -10 - 3*z**3 - 4*z**3 + 9*z + 4*z**l + 4 = 0.
-2, 1
Let c = 80/19 + -621/152. Solve -c*m**2 + 1/8 + 0*m = 0 for m.
-1, 1
Let m(n) be the third derivative of 0 + 0*n**3 - 1/70*n**6 + 0*n + 4/735*n**7 - 4*n**2 + 1/105*n**5 + 0*n**4. Determine p, given that m(p) = 0.
0, 1/2, 1
Let y(r) be the second derivative of -1/24*r**3 + 0*r**2 + 3*r - 3/80*r**5 - 1/12*r**4 + 0. Factor y(a).
-a*(a + 1)*(3*a + 1)/4
Solve -28*u**2 + 336 + 4*u - 312 + 4*u**2 - 5*u**3 + u**3 = 0 for u.
-6, -1, 1
Let j(s) be the third derivative of s**6/200 + s**5/20 - s**4/40 - s**3/2 + 110*s**2 - 2*s. Factor j(i).
3*(i - 1)*(i + 1)*(i + 5)/5
Let a(l) = l**2 + 15*l - 13. Let p be a(-16). Factor 3*y**3 - 5*y**3 + y**2 - 4*y**2 + y**p.
-y**2*(y + 3)
Suppose 2*n - 7*a = -2*a + 20, 0 = -n + 3*a + 12. Let 1/2*s**2 + 0 + 1/8*s**3 + n*s = 0. What is s?
-4, 0
Let p(z) = -z**3 - 7*z**2 - 10*z - 2. Let o be p(-5). Let x be 19/7 - o/7. Solve -28*c**4 + 8*c - 4*c**3 + 15*c**2 - 4*c**x + 13*c**2 = 0.
-1, -2/7, 0, 1
Suppose -7*l - 10 = -5*d - 2*l, -5*d - l = 2. Solve 3/4*n**2 + 3/2*n + d = 0 for n.
-2, 0
Let b(i) be the second derivative of -i**5/5 + 3*i**4 - 16*i**3 + 40*i**2 + 5*i + 11. Suppose b(d) = 0. Calculate d.
2, 5
Let y be (2 + 2)*1/2. Suppose -25 = -5*w - 0*w. Determine k so that -2*k**3 + 2*k**4 - 6*k**y + 12*k**2 - k**3 - w*k**4 = 0.
-2, 0, 1
Let j(p) = 83 - 15*p + 69 + p**2 - 166. Let c be j(16). Let -4/3*y + 2 - 2/3*y**c = 0. What is y?
-3, 1
Suppose 4*v + 2*v = v. Let g be -9 + 8 - (v + -4). Factor 5*b**2 + 5/2 - 5/4*b**g - 25/4*b.
-5*(b - 2)*(b - 1)**2/4
Let c be 35/(-175) + (-13)/(-40). Let s(h) be the second derivative of 1/4*h**2 + c*h**4 - 1/4*h**3 + 4*h + 0 - 1/40*h**5. Find m such that s(m) = 0.
1
Let b(y) = -5*y**2 - 14*y + 7. Let g(l) = 14*l**2 + 42*l + l**2 - 22 - l**2. Let t(k) = 10*b(k) + 3*g(k). Let t(z) = 0. What is z?
-2, 1/4
Suppose -5*m = -24 + 9. Suppose 0*x + m*r - 9 = 3*x, -4*x - 4*r = -28. Determine d so that 14*d + 8 + 0 - 4 - 8*d + x*d**2 = 0.
-2, -1
Let o(p) be the first derivative of 20/3*p**3 + 9 + 7*p**4 + 0*p - 4*p**2. Factor o(a).
4*a*(a + 1)*(7*a - 2)
Let i(u) = -u**3 + u**2 + 3*u - 1. Let s be i(2). Let j be (110/385)/(s - (-4)/14). Factor 0*y + 0*y**2 + 0 + 0*y**3 + j*y**4 + 2/9*y**5.
2*y**4*(y + 1)/9
What is x in x**3 - 2*x**3 - 1048*x**2 + 1050*x**2 + 3*x = 0?
-1, 0, 3
Let f(v) = -v**3 + v**2 - v + 5. Let h be f(0). Let m be (-206)/1545 + 0 + (-74)/(-105). Factor 4/7*o**2 - 8/7*o**4 + 8/7*o**3 + m + 2/7*o**h - 10/7*o.
2*(o - 2)*(o - 1)**3*(o + 1)/7
Let w(k) be the third derivative of k**8/40320 - k**6/160 - 29*k**5/60 - 31*k**2 - 2*k. Let o(c) be the third derivative of w(c). Factor o(n).
(n - 3)*(n + 3)/2
Let i(r) = -r**2 + 4. Let g(b) = -b**2 - b + 4. Suppose 4*o + y - 16 + 38 = 0, -4*y = -o - 14. Let z(h) = o*g(h) + 4*i(h). Factor z(f).
2*(f - 1)*(f + 4)
Suppose -4*j + 32 = -4*r, -3*j + 4 = 2*r - r. Suppose -2 = j*f + 5*v - 6, -f = -4*v - 7. Factor -1/3*a**2 - 2*a - f.
-(a + 3)**2/3
Let f(s) be the third derivative of 0 + 2*s**2 + 0*s + 0*s**4 - 1/9*s**3 + 1/360*s**5. Suppose f(l) = 0. Calculate l.
-2, 2
Let d(v) be the first derivative of 0*v**3 - 20 - 3/2*v**2 + 3/4*v**4 + 0*v. Let d(g) = 0. What is g?
-1, 0, 1
Let l be 2/4*(24 + -18 + 10). Let a(i) be the first derivative of 4/3*i**3 + 9 - 6*i**2 + l*i. Factor a(n).
4*(n - 2)*(n - 1)
Let z(j) be the first derivative of -j**4/22 + 59*j**3/33 + 95*j**2/22 - 62*j/11 + 196. Determine s so that z(s) = 0.
-2, 1/2, 31
Let m(t) = 3*t**5 + t**4 - t**3 - t**2 - t. Let a(f) = 9*f**5 + 14*f**4 + f**3 - 44*f**2 - 62*f - 24. Let y(j) = a(j) - 2*m(j). Solve y(d) = 0 for d.
-2, -1, 2
Suppose o - 4*o = -3*k + 12, 0 = -3*k + 4*o + 10. Let w = -6 + k. Suppose -4*m**3 + w*m**3 + 6*m**2 + 0*m**2 + 2*m**2 = 0. What is m?
0, 2
Let y be 10/(-6)*72