tor w(c).
-2*c**2*(c - 1)*(c + 1)
Let a(n) be the first derivative of 3*n**4/4 - n**3 - 15*n**2 - 24*n - 22. Let a(p) = 0. Calculate p.
-2, -1, 4
Let x(i) be the first derivative of -i**6/3 + 38*i**5/15 - 127*i**4/18 + 262*i**3/27 - 64*i**2/9 + 8*i/3 + 14. Let x(t) = 0. Calculate t.
2/3, 1, 3
Suppose -4 = -5*t + 6. Determine w so that -t - 4 + 3*w**2 - 1 + 1 + 3*w = 0.
-2, 1
Let w be (-9)/(-90) + (-4)/(-10). Let o(k) be the first derivative of 1/6*k**3 - w*k**2 + 1/2*k - 2. Factor o(p).
(p - 1)**2/2
Let f(j) be the first derivative of -j**6/60 + 3*j**5/50 - j**4/40 - j**3/10 + j**2/10 - 8. Find q, given that f(q) = 0.
-1, 0, 1, 2
Let t(h) = -15*h**2 + 69*h + 21. Let p(i) = -3*i**2 + 14*i + 4. Let d(c) = 21*p(c) - 4*t(c). Factor d(f).
-3*f*(f - 6)
Suppose -6 = 2*j - 5*j. Let y(l) be the first derivative of 1/10*l**5 + 0*l**4 + 0*l**3 + 3 + 1/12*l**6 + 0*l + 0*l**j. Factor y(k).
k**4*(k + 1)/2
Let k(h) = 9*h**3 - 4*h**2 - 9*h + 9. Let o(j) = -5*j**3 + 2*j**2 + 5*j - 5. Let t(b) = -3*k(b) - 5*o(b). Factor t(y).
-2*(y - 1)**2*(y + 1)
Let i(p) = p**5 - p**3 + p**2 - p. Let t(d) = 14*d**5 + 6*d**4 - 14*d**3 - 2*d**2 - 12*d + 8. Let z(h) = 12*i(h) - t(h). Find y such that z(y) = 0.
-2, -1, 1
Suppose -5 = -p - 3. Let q = 6 - 4. Determine f so that 5*f**p - f**2 + 2*f**3 - 2*f**q = 0.
-1, 0
Let n(k) = k**4 + k**3 - k**2 + k + 1. Let j(h) = -3*h**4 - 13*h**3 + 15*h**2 - 9*h - 5. Let l = -8 + 9. Let b(r) = l*j(r) + 5*n(r). Factor b(o).
2*o*(o - 2)*(o - 1)**2
Let o = -17 - -17. Let g(s) be the third derivative of 3*s**2 + o + 1/360*s**6 + 1/18*s**3 + 0*s + 1/60*s**5 + 1/24*s**4. Determine v so that g(v) = 0.
-1
Let q(g) be the second derivative of 3*g**5/100 - 4*g**4/15 + g**3/10 + g**2 - 2*g + 28. Factor q(r).
(r - 5)*(r - 1)*(3*r + 2)/5
Let s(m) be the first derivative of m**4/16 - m**3/6 - m**2/2 + 2*m + 1. Factor s(n).
(n - 2)**2*(n + 2)/4
Let 1/4*u**5 + 9/4*u**3 + 0 + 7/4*u**2 + 1/2*u + 5/4*u**4 = 0. What is u?
-2, -1, 0
Let y be ((-19)/(361/(-38)))/(2 - 1). Factor -6/5 + 9/5*u - 3/5*u**y.
-3*(u - 2)*(u - 1)/5
Let p = 14 + -14. Suppose -5*w - 2*i = 0, 2*w + 4*i = -p*i. Factor -1/4*j**3 + w + 0*j + 1/4*j**4 + 0*j**2.
j**3*(j - 1)/4
Let y = -262 + 266. Factor -2/15*t + 0 - 4/15*t**2 + 4/15*t**y + 0*t**3 + 2/15*t**5.
2*t*(t - 1)*(t + 1)**3/15
Let s(y) = y**3 - 11*y**2 + 12*y - 14. Let m be s(10). Suppose z = 3*r + 9, 4*z = -0*z + 2*r + m. Factor 4/5*x**2 + 2/5*x**5 - 4/5*x**4 + 0 + z*x**3 - 2/5*x.
2*x*(x - 1)**3*(x + 1)/5
Suppose -3*l + 7*l - 4 = 0. Let y(m) = -m**3 - 1. Let p(a) = 3*a**2 + 3*a. Let g(r) = l*p(r) - y(r). Factor g(b).
(b + 1)**3
Factor -8*h**2 + 5*h**2 + 4*h**2 - 4 - 6*h + 13.
(h - 3)**2
Let u be (-4)/12*(0 + -9). Let c(j) = 3*j + 5. Let z be c(-1). Factor -1/2*s + 0 + 1/2*s**u - 1/2*s**z + 1/2*s**4.
s*(s - 1)*(s + 1)**2/2
Let -32*d**3 + 62*d**3 + 14*d**2 - 32*d**3 = 0. What is d?
0, 7
Let s(z) be the first derivative of z**7/1155 - z**6/165 + 2*z**5/165 + 3*z**2 - 5. Let d(j) be the second derivative of s(j). Solve d(a) = 0 for a.
0, 2
Let j = -5092/5 - -1040. Let s = 22 - j. Factor -4/5 + s*c + 2/5*c**2.
2*(c - 1)*(c + 2)/5
Let u(o) be the first derivative of o**4/4 - 4*o**3/3 + 3*o**2/2 - 15. Solve u(w) = 0.
0, 1, 3
Let d(v) = v**2 + 5*v + 4. Let h be d(-3). Let i = h + 10. Find c, given that 8*c**2 + 3*c**4 - 4*c**4 + 3*c**4 + i*c**3 = 0.
-2, 0
Let y(h) = -18*h**4 - 25*h**3 + 18*h**2 + 25*h. Let b(g) = 3*g**4 + 4*g**3 - 3*g**2 - 4*g. Let t(j) = -39*b(j) - 6*y(j). Factor t(o).
-3*o*(o - 1)*(o + 1)*(3*o + 2)
Suppose 6*y - y = 15. Let f(c) be the first derivative of 2/3*c**3 + 0*c**2 + y + 0*c. Factor f(w).
2*w**2
Suppose 6*n - 3*n = 6*n. Let r(b) be the first derivative of -1/4*b**4 - 1/5*b**5 + 1 + n*b + 0*b**2 + 0*b**3. Find a, given that r(a) = 0.
-1, 0
Let o = 13/16 - 971/1200. Let r(u) be the third derivative of 1/150*u**5 + 0 - 1/15*u**3 + u**2 + 0*u + 1/60*u**4 - o*u**6. What is z in r(z) = 0?
-1, 1
Let k = 1597/5 - 318. Let 8/5*b**2 + 3/5*b**3 + 2/5 + k*b = 0. Calculate b.
-1, -2/3
Factor -1/3*q**3 + 1/3*q + 1/3*q**4 - 1/3*q**2 + 0.
q*(q - 1)**2*(q + 1)/3
Let h(f) be the second derivative of 0*f**4 + 0*f**2 + 1/80*f**5 + 0 - 1/24*f**3 + 2*f. Factor h(w).
w*(w - 1)*(w + 1)/4
Suppose 3*a = 42*a - 117. Find o, given that -1/2*o**2 + 1/2*o**a + 0*o + 0 = 0.
0, 1
Let -1/7*i**4 - 3/7*i**2 + 4/7 + 4/7*i**3 - 4/7*i = 0. Calculate i.
-1, 1, 2
Let w(z) be the third derivative of 5*z**8/504 - z**7/35 - 17*z**6/180 - z**5/30 + 4*z**2 + 8*z. Find f such that w(f) = 0.
-1, -1/5, 0, 3
Let p be 8/6 - 1/1. Determine w so that 0*w + p*w**3 - 1/3*w**2 - 1/3*w**5 + 0 + 1/3*w**4 = 0.
-1, 0, 1
Let i = 24 + -24. Let k(n) be the third derivative of i*n**3 + 0*n + 0 - 1/525*n**7 + 0*n**5 + 2*n**2 - 1/300*n**6 + 0*n**4. Factor k(q).
-2*q**3*(q + 1)/5
Let c(n) be the second derivative of 1/36*n**4 + 5*n + 0 + 0*n**2 - 1/18*n**3. Factor c(d).
d*(d - 1)/3
Let a = 53/3 + -17. Factor 2/3*y**2 + a - 4/3*y.
2*(y - 1)**2/3
Suppose -4*t - 4 = a - 3*t, -12 = -5*a + 3*t. Factor 1/2*p**3 + a - p**2 + 1/2*p.
p*(p - 1)**2/2
Suppose -3*i = -2*o + 39, 6*o - 2*o + 2*i - 38 = 0. Suppose -4*u + o - 4 = 5*q, -5*u = -2*q - 10. Factor -6 + 10 + 2*b + 32*b**u - 24*b - 14*b**3.
-2*(b - 1)**2*(7*b - 2)
Suppose -4*l + 5*h = -159 + 5, l - 4*h = 44. Let f(v) = -v + 1. Let s(o) = 2*o**2 - 14*o + 18. Let a(b) = l*f(b) - 2*s(b). Factor a(c).
-4*c*(c + 2)
Find s such that 0*s - 2/3*s**2 + 0 - 2/3*s**3 = 0.
-1, 0
Let m(q) be the first derivative of -q**4/66 + q**2/11 - 5*q - 3. Let f(y) be the first derivative of m(y). Factor f(j).
-2*(j - 1)*(j + 1)/11
Let t(z) = -z**3 - 5*z**2 - 5*z + 2. Let x be t(-4). Let g be (-4)/x + 16/24. Suppose 1/2*b**2 + 1/4*b + g + 1/4*b**3 = 0. What is b?
-1, 0
Suppose 2/5*u - 2/5*u**2 + 12/5 = 0. What is u?
-2, 3
Determine l so that 3/8*l**2 - 3/4 - 3/8*l = 0.
-1, 2
Factor -2/3*d**4 + 0*d + 8/9*d**5 + 0*d**2 + 0*d**3 + 0.
2*d**4*(4*d - 3)/9
Let h(d) = -14*d**3 - 2*d. Let r(j) = -5*j**3 - j. Let p(g) = -3*h(g) + 8*r(g). Factor p(n).
2*n*(n - 1)*(n + 1)
Let t(g) be the third derivative of g**6/960 + g**5/120 + 5*g**4/192 + g**3/24 + 6*g**2. Let t(f) = 0. What is f?
-2, -1
Factor 5*s**3 - 4*s**3 + 5*s**3 - 8*s**2 + 4*s**4 - 2*s**3.
4*s**2*(s - 1)*(s + 2)
Suppose 5*k - 322 = -312. Factor 0 - 10/9*m**3 + 2/3*m**4 + 2/9*m**k + 2/9*m.
2*m*(m - 1)**2*(3*m + 1)/9
Let q = -20 + 62/3. Factor -1/3*o**2 - q*o + 0.
-o*(o + 2)/3
Let r(a) be the first derivative of -a**6/36 - 2*a**5/15 - a**4/4 - 2*a**3/9 - a**2/12 - 1. Solve r(v) = 0 for v.
-1, 0
Let o(y) = y - 6. Let j be o(9). Let n = j - 1. Factor 0*r**4 + 2/9*r**3 + 0 + 0*r + 0*r**n - 2/9*r**5.
-2*r**3*(r - 1)*(r + 1)/9
Solve -2*r**2 + 8*r**3 + 0*r**4 + 1 + 4*r**3 + 9*r**4 - 4*r = 0.
-1, 1/3
Let w(j) be the first derivative of -3/4*j**4 + 1 + 0*j - 1/2*j**2 - j**3 - 1/5*j**5. Let w(d) = 0. What is d?
-1, 0
Let -45*b + 5*b**2 + 5*b**2 + 28*b**3 + 10*b**2 - 19*b + 16 = 0. What is b?
-2, 2/7, 1
Let v(g) be the third derivative of 2/105*g**7 + 4/15*g**5 + 0*g + 0 + 2/9*g**3 - g**2 + 1/3*g**4 + 1/9*g**6. Factor v(d).
4*(d + 1)**3*(3*d + 1)/3
Suppose 0 = -2*i - 4*t - 12, 4*i - 12 - 8 = 3*t. Let l(x) be the first derivative of -1/5*x**i - 2 + 0*x**3 + 0*x**5 + 0*x - 1/15*x**6 + 1/5*x**4. Factor l(f).
-2*f*(f - 1)**2*(f + 1)**2/5
Determine p so that -2/15*p**4 - 8/15*p**3 - 8/15*p - 4/5*p**2 - 2/15 = 0.
-1
Let g(j) be the second derivative of -j**4/4 + 3*j**3/2 + 6*j**2 - 41*j. Factor g(b).
-3*(b - 4)*(b + 1)
Let k(v) = 7*v**2 + v. Let m(p) = p**2. Let l(j) = k(j) - 6*m(j). Determine o so that l(o) = 0.
-1, 0
Let y be ((-15)/(-6) - 2)*0. Let p(n) be the third derivative of 0 + y*n**4 + n**2 + 0*n**3 + 0*n - 1/60*n**5 + 1/60*n**6 - 1/210*n**7. Factor p(x).
-x**2*(x - 1)**2
Suppose -1/4*w + w**3 + 0 - 3/4*w**2 = 0. What is w?
-1/4, 0, 1
Let t(u) be the third derivative of 0 + 1/1440*u**6 + 1/240*u**5 + 1/96*u**4 - 2*u**2 + 0*u + 1/2*u**3. Let z(x) be the first derivative of t(x). Factor z(v).
(v + 1)**2/4
Let y = -28739/60 - -479. Let m(a) be the third derivative of 0 + 0*a**4 - 1/10*a**5 + 2*a**2 + 4/3*a**3 + 0*a + y*a**6. Factor m(k).
2*(k - 2)**2*(k + 1)
Determine z, given that 0 + 0*z**2 + 0*z - 2/3*z**3 = 0.
0
Find x, given that -10/7*x - 3/7 - 1/7*x**4 - 12/7*x**2 - 6/7*x**3 = 0.
-3, -1
Suppose 3*n - 5 = -2*n. Let 