*4 + 1/90*c**5 - 7*c**2 + 0 + 0*c**3 - 1/315*c**7 - 1/180*c**6. Solve r(v) = 0 for v.
-1, 0, 1
Let d(t) = -41*t**3 - 41*t**2 - 8*t. Let i(r) = -20*r**3 - 20*r**2 - 4*r. Let q(l) = -l**2 + 8*l + 2. Let f be q(8). Let u(m) = f*d(m) - 5*i(m). Factor u(j).
2*j*(3*j + 1)*(3*j + 2)
Let d(j) be the second derivative of -1/3*j**3 + 0 + 2/3*j**4 - 1/2*j**5 + 0*j**2 - 3*j + 2/15*j**6. Determine n, given that d(n) = 0.
0, 1/2, 1
Let c be 2 + 1 - 2/(-20)*-6. Find m, given that 3/5*m**2 - c*m**3 + 0 + 0*m = 0.
0, 1/4
Factor 16/7*l**3 + 0*l**2 - 12/7*l + 4/7.
4*(l + 1)*(2*l - 1)**2/7
Factor 18/13*o + 8/13 + 4/13*o**2.
2*(o + 4)*(2*o + 1)/13
Let g(u) = 3*u**4 + 3*u**3 - 5*u**2 - 5. Suppose 0*c - c - 5 = 0. Let r(f) = 2*f**4 + 2*f**3 - 3*f**2 - 3. Let a(o) = c*r(o) + 3*g(o). Factor a(w).
-w**3*(w + 1)
Let t(o) = 2*o**3 - 13*o**2 + 7*o - 2. Let z be t(6). Let n(a) be the first derivative of -a**2 - 7/3*a**3 + 2 + 5/4*a**z + 0*a + 4/5*a**5. Solve n(i) = 0.
-2, -1/4, 0, 1
Let 2/15*x**4 - 4/15*x + 0 + 2/3*x**2 - 8/15*x**3 = 0. What is x?
0, 1, 2
Let t be 1/((3 - 5) + 3). Suppose 4*m = 21 - t. Let -3*d + 2*d**2 + m*d + 3*d - 3*d = 0. Calculate d.
-1, 0
Let l be ((-4)/10)/(2/(-20)). Find d such that 2*d**3 + 2*d**5 + 0*d**l + 0*d**4 + 6*d**4 - 2*d**4 = 0.
-1, 0
Let n(p) = -p**3 + 25*p**2 - 23*p - 24. Let w be n(24). Factor -1/5*c**3 + 1/5*c**4 + 0*c**2 + 0 + w*c.
c**3*(c - 1)/5
Let x(z) be the first derivative of z**6/15 + 4*z**5/25 - 4*z**3/15 - z**2/5 - 17. Factor x(j).
2*j*(j - 1)*(j + 1)**3/5
Find f such that 0 + 1/3*f - 4/3*f**3 - f**2 = 0.
-1, 0, 1/4
Suppose c - 4 = -2. Let a(x) be the first derivative of 8/21*x**3 - 1 + 4/7*x + 5/7*x**c + 1/14*x**4. Factor a(g).
2*(g + 1)**2*(g + 2)/7
Let x(i) = -8*i**3 + 6*i**2. Let m(h) = h**3 - h**2 + h. Let y(f) = 2*m(f) + x(f). Suppose y(k) = 0. Calculate k.
-1/3, 0, 1
Let q = -4/9 - -17/18. Find i, given that -q*i**4 + i + 3/2*i**2 + 0 + 0*i**3 = 0.
-1, 0, 2
Let l = -333 + 337. Factor 7/3*r**2 - 1/3*r**5 - 2/3*r + 5/3*r**l - 3*r**3 + 0.
-r*(r - 2)*(r - 1)**3/3
Let h(a) be the first derivative of -a**5/10 - 5*a**4/8 - 3*a**3/2 - 7*a**2/4 - a - 1. Suppose h(r) = 0. What is r?
-2, -1
Let y(n) be the first derivative of 3*n**4/16 - 3*n**3/8 + 3*n**2/16 + 20. Factor y(j).
3*j*(j - 1)*(2*j - 1)/8
Let j(i) be the third derivative of 5*i**5/12 - 215*i**4/24 - 15*i**3 - 20*i**2. Solve j(u) = 0 for u.
-2/5, 9
Let x(u) be the first derivative of u**5/60 - u**3/6 + 3*u**2 - 2. Let s(r) be the second derivative of x(r). Factor s(f).
(f - 1)*(f + 1)
Let y(b) = 6*b**4 + 2*b**3 - b**2 + 3*b. Let s(x) = x**4 + x. Let m = 15 + -12. Let f(t) = m*s(t) - y(t). Factor f(z).
-z**2*(z + 1)*(3*z - 1)
Let x = -12 + -7. Let c = -16 - x. What is m in -4*m**c + 4*m**2 - 2*m + 2/5 - 2/5*m**5 + 2*m**4 = 0?
1
Suppose 0 = j - 108 + 105. Let a(m) be the first derivative of 3/5*m**5 - 1 - 6*m**2 + 3/2*m**4 + 12*m - 3*m**j. Factor a(d).
3*(d - 1)**2*(d + 2)**2
Let i(m) be the second derivative of -m**4/12 - 5*m**3/6 + 3*m**2 + m. Factor i(s).
-(s - 1)*(s + 6)
Let n(b) = b**2 - 4*b + 5. Let h be n(4). Let r be (-7 + h)*4/(-2). Solve -4*g - r - 5*g**4 + 2*g**4 + 4*g**3 + 7*g**2 + 0*g**4 = 0 for g.
-1, -2/3, 1, 2
Let h(t) be the third derivative of -t**7/840 + t**6/120 - t**5/80 - 40*t**2. Factor h(z).
-z**2*(z - 3)*(z - 1)/4
Let i(a) = 4*a - 18. Suppose -10*j = -7*j - 15. Let s be i(j). Let -4/5*f**s - 14/5*f**4 + 0*f - 18/5*f**3 + 0 = 0. Calculate f.
-1, -2/7, 0
Let l(s) be the third derivative of -s**6/300 - s**5/50 + s**4/60 + s**3/5 - 2*s**2. Determine g so that l(g) = 0.
-3, -1, 1
Let f(i) be the third derivative of -i**9/30240 + i**8/5040 - i**7/2520 + i**5/15 - i**2. Let m(h) be the third derivative of f(h). Solve m(r) = 0 for r.
0, 1
Let r(m) = -m**2 - 11*m - 4. Let g(x) = -2*x**2 - 10*x - 4. Let q(s) = -3*g(s) + 2*r(s). Factor q(w).
4*(w + 1)**2
Let o be 274/(-14) - (-12)/(-28). Let d be ((-3)/(-6))/((-2)/o). Factor 0*l + 1/3*l**d + 0 - 1/3*l**4 - 1/3*l**3 + 1/3*l**2.
l**2*(l - 1)**2*(l + 1)/3
Let r(k) be the second derivative of -k**5/40 + 5*k**4/24 - 7*k**3/12 + 3*k**2/4 - 8*k. Factor r(o).
-(o - 3)*(o - 1)**2/2
Let f(x) be the first derivative of -5/16*x**4 + 5/24*x**6 + 0*x**2 + 1 + 0*x + 1/10*x**5 - 1/6*x**3. Solve f(s) = 0 for s.
-1, -2/5, 0, 1
Let r(k) be the third derivative of -k**6/1260 - 2*k**5/315 - 5*k**4/252 - 2*k**3/63 - k**2. Factor r(y).
-2*(y + 1)**2*(y + 2)/21
Let t(w) = -5*w**2 + 6*w - 2. Let f(d) = -27*d**2 + 31*d - 11. Let v(y) = -6*f(y) + 33*t(y). Factor v(m).
-3*m*(m - 4)
Let s(x) = -5*x**4 - 10*x**3 + 7*x**2 + 3*x + 3. Let z(p) = 9*p**4 + 20*p**3 - 15*p**2 - 5*p - 7. Let j(l) = -7*s(l) - 3*z(l). Suppose j(b) = 0. What is b?
-1, 0, 3/4
Let t(n) = n + 5. Let x be t(-3). Factor p + 3*p**4 - p - 15*p**3 - 3*p**x + 12*p**3 + 3*p**5.
3*p**2*(p - 1)*(p + 1)**2
Let r(g) = 3*g**5 - 9*g**3 - 2*g**2. Let w(f) = 8*f**5 + f**4 - 26*f**3 - 5*f**2. Let n(j) = 11*r(j) - 4*w(j). Factor n(i).
i**2*(i - 2)*(i - 1)**2
Let p be -3 - 9 - (-2 - 0). Let t = p + 12. Factor -8/7*k**t + 0*k - 50/7*k**4 - 40/7*k**3 + 0.
-2*k**2*(5*k + 2)**2/7
Let 10/3 - 4/3*a + 2/15*a**2 = 0. Calculate a.
5
Suppose 4*h - h - 15 = 0. Suppose -35 = -h*k - 4*f, -5*f = k - 0*k - 28. Factor 0*l**5 - 3*l**4 - 3*l**5 + 2*l**k - 2*l**5.
-l**3*(l + 1)*(5*l - 2)
Let q(p) be the third derivative of -3*p**2 + 2/3*p**3 - 1/60*p**5 - 1/180*p**6 + 1/6*p**4 + 0*p + 0. Let i(v) be the first derivative of q(v). Solve i(l) = 0.
-2, 1
Let i(p) = -p**3 + p**2 - p. Let n(c) = 9*c + 5*c**3 - 8*c**2 + c - 5*c. Let u(v) = -3*i(v) - n(v). Factor u(y).
-y*(y - 2)*(2*y - 1)
Let -p + 2*p**3 + p - 16*p**2 + 16 - 3*p + p = 0. What is p?
-1, 1, 8
Let b(r) = -r**2 - 10*r - 5. Let f be b(-9). Factor 5/3*v + 5/3*v**f + 10/3*v**3 + 10/3*v**2 + 1/3 + 1/3*v**5.
(v + 1)**5/3
Let r(i) be the first derivative of 1/32*i**4 + 0*i**5 + 0*i + 0*i**2 - 1/48*i**6 - 7 + 0*i**3. Suppose r(w) = 0. What is w?
-1, 0, 1
Let w(a) be the first derivative of -2/9*a**3 + 3 + 2/9*a**2 + 0*a. Factor w(k).
-2*k*(3*k - 2)/9
Let p(q) be the first derivative of -q**5/240 - q**4/96 + q**3/12 - q**2/2 - 3. Let z(t) be the second derivative of p(t). Determine b so that z(b) = 0.
-2, 1
Let p = 371/4 + -92. Find y, given that -1 + p*y**2 - 1/4*y**4 + y - 1/2*y**3 = 0.
-2, 1
Let u(b) = b**3 + 9*b**2 + 8*b + 5. Let t be u(-8). Suppose 6*v = v + t. Factor 0*q**2 - v + 8*q**3 - 16*q**2 + 10*q - 1.
2*(q - 1)*(2*q - 1)**2
Let a(h) be the second derivative of h**6/60 - 7*h**5/40 + 2*h**4/3 - h**3 + 13*h. Suppose a(o) = 0. What is o?
0, 2, 3
Let f(p) = -7*p**2 - 22*p - 23. Let x(u) = 27*u**2 + 87*u + 93. Let o(v) = -15*f(v) - 4*x(v). Factor o(n).
-3*(n + 3)**2
Let u(t) be the first derivative of -16*t**2 - 64*t - 4 - 4/3*t**3. Suppose u(b) = 0. What is b?
-4
Solve -16*k**2 - 28/3*k**3 + 8/3 - 4*k = 0 for k.
-1, 2/7
Let g(w) = -w**4 - w**3 + w**2 + w. Let b(h) = -28*h**4 - 4*h**3 + 20*h**2 + 12*h. Let m(r) = 2*b(r) - 20*g(r). Let m(t) = 0. What is t?
-1/3, 0, 1
Let f be (-4)/(-6) - 374/12. Let w = 435/14 + f. Determine y so that -2/7 + 4/7*y**3 + 0*y**2 - w*y + 2/7*y**4 = 0.
-1, 1
Let h(z) be the first derivative of 13*z**3/6 - 7*z**2 + 2*z + 31. Factor h(v).
(v - 2)*(13*v - 2)/2
Let i be 2/6*24/8. Let v(x) be the first derivative of 2/3*x - i - 8/15*x**5 + 4/3*x**2 - 2/3*x**4 + 2/3*x**3. Suppose v(u) = 0. What is u?
-1, -1/2, 1
Let c(x) be the second derivative of x**5/80 + x**4/16 + x**3/8 + x**2/8 + x. Factor c(a).
(a + 1)**3/4
Find g, given that 12*g**2 - 12*g**4 + 95*g**3 - 104*g**3 + 0*g**5 + 12*g - 3*g**5 = 0.
-2, -1, 0, 1
Let c be 6/2076*(-4)/1. Let i = c - -356/865. Factor -i + 0*h + 2/5*h**2.
2*(h - 1)*(h + 1)/5
Let a(n) be the first derivative of -1/30*n**5 + 1/9*n**3 - 1 + 1/12*n**4 - 1/6*n - 1/12*n**2 - 1/36*n**6. Solve a(v) = 0.
-1, 1
Let c(k) be the first derivative of k**5 - 5*k**4/2 - 5*k**3 + 33. Factor c(g).
5*g**2*(g - 3)*(g + 1)
Let m(w) be the first derivative of -3*w**4/2 - 20*w**3/3 - 5*w**2 - 4*w - 2. Let a(l) = 6*l**3 + 19*l**2 + 11*l + 4. Let f(r) = 4*a(r) + 3*m(r). Factor f(n).
2*(n + 1)**2*(3*n + 2)
Factor 2/15*q**3 - 2/15*q**2 - 2/15*q + 2/15*q**4 + 0.
2*q*(q - 1)*(q + 1)**2/15
Let g(z) = 36*z**4 - 45*z**3 + 24*z**2 - 15*z - 21. Let k(l) = -7*l**4 + 9*l**3 - 5*l**2 + 3*l + 4. Let h(j) = 4*g(j) + 21*k(j). Fac