3*l**3 - c*l**4 + 0*l**2 + 0 = 0.
0, 1
Factor -6/5*g**2 - 9/5*g + 0 + 1/5*g**5 + 6/5*g**4 + 8/5*g**3.
g*(g - 1)*(g + 1)*(g + 3)**2/5
Let s be 4*15/10*3/9. Find m, given that 8/11*m + 8/11 - 2/11*m**4 - 8/11*m**3 - 6/11*m**s = 0.
-2, -1, 1
Let k = -126 - 27. Let c = -609/4 - k. Factor 3/4*m**4 + 0 + 1/4*m**2 + c*m**3 + 1/4*m**5 + 0*m.
m**2*(m + 1)**3/4
Factor -4*y**3 + 0*y**4 + 0 - 2*y + 2/3*y**5 + 16/3*y**2.
2*y*(y - 1)**3*(y + 3)/3
Let g = 31 - 27. Suppose -4*c + 2*m + 6 = -g, -3*c - 5*m + 1 = 0. Determine k, given that 2/9*k**3 - 4/9*k**c + 4/9 - 2/9*k = 0.
-1, 1, 2
Let k(m) = 4*m - 2. Let p be k(1). Suppose -p*a = -0*d + 2*d - 6, 0 = 2*d + 3*a - 9. Factor d + 1/2*i - 1/2*i**2.
-i*(i - 1)/2
Suppose -2/7*v + 2/7*v**2 + 0 = 0. What is v?
0, 1
Suppose 14 = 2*a - 2*w, -w = -15*a + 12*a + 17. Let -2/9 + 2/9*x + 4/9*x**2 + 2/9*x**a - 4/9*x**3 - 2/9*x**4 = 0. Calculate x.
-1, 1
Let m(g) be the third derivative of g**6/720 - g**5/120 + g**4/48 - g**3/36 + 7*g**2. Factor m(h).
(h - 1)**3/6
Let f(y) be the first derivative of 3*y**6/20 - 3*y**5/40 + 3*y + 3. Let n(j) be the first derivative of f(j). Factor n(w).
3*w**3*(3*w - 1)/2
Let t(j) = -2*j**3 - 2*j**2 - j + 1. Let w(b) = -b**3 - b**2 - b + 1 - 5*b**2 + 5*b**2. Let l(z) = -t(z) + w(z). Solve l(g) = 0.
-1, 0
Let m be 112/22 - (-11 - (-1098)/99). Solve 0*p + 4*p**3 + 8/7*p**4 - 8/7*p**2 + 0 - 4*p**m = 0.
-1, 0, 2/7, 1
Let t(k) = 6*k**2 + k + 2. Let z be t(2). Factor 32*f - 76*f**2 + z*f**3 + f**3 + 16 - f**3.
4*(f - 2)*(f - 1)*(7*f + 2)
Factor -36/11*h**3 + 0 - 2/11*h**5 - 16/11*h - 14/11*h**4 - 40/11*h**2.
-2*h*(h + 1)*(h + 2)**3/11
Let c(f) = -51*f**2 - 30*f - 2. Let q(y) = 52*y**2 + 31*y + 1. Let x(k) = -6*c(k) - 4*q(k). Solve x(i) = 0.
-2/7
Let m be ((-1)/(-2))/((-3)/(-18)). Let k = 2 + 0. Factor 4*s**3 + m*s**3 + 2*s**k + s - 6*s**3.
s*(s + 1)**2
Factor 3/5*f**3 - 9/5*f + 0*f**2 - 6/5.
3*(f - 2)*(f + 1)**2/5
Let t(d) be the third derivative of -d**9/120960 + d**7/10080 - d**5/20 + 3*d**2. Let a(k) be the third derivative of t(k). Factor a(z).
-z*(z - 1)*(z + 1)/2
Let v be (-3186)/(-1071) - (1 + 1). Let b = v + -2/17. Factor 6/7*x - 4/7*x**2 - 2/7*x**5 - 4/7*x**3 + b*x**4 - 2/7.
-2*(x - 1)**4*(x + 1)/7
Factor 13*d + 87*d + 158 - 5*d**2 - 403 - 255.
-5*(d - 10)**2
Let r = 93 - 90. Find s such that -4/3*s**4 + 4/3 - 2/3*s - 4*s**2 + 14/3*s**r = 0.
-1/2, 1, 2
Let l(q) be the third derivative of -q**5/90 - q**4/36 + 2*q**3/9 + 2*q**2. Factor l(m).
-2*(m - 1)*(m + 2)/3
Let h(z) = -z - 7. Let a be h(-4). Let s be a*(-8)/36*3. Determine u, given that -10/7*u**4 + 0*u**2 + 0*u - s*u**5 + 0 + 4/7*u**3 = 0.
-1, 0, 2/7
Let o(i) = -21*i**2 + 45*i - 24. Let z(u) = 5*u**2 - 11*u + 6. Let m(g) = 2*o(g) + 9*z(g). Solve m(h) = 0.
1, 2
Let b(x) be the second derivative of 0*x**3 - 1/10*x**5 + 0*x**2 + 0 + 0*x**4 + 1/15*x**6 + x. Factor b(t).
2*t**3*(t - 1)
Suppose -32 = -4*x - 4. Suppose 2*m + 10 = x*m. Factor 0*f + 0 - 2/5*f**m.
-2*f**2/5
Let a(y) = 9*y**5 + 35*y**4 + 12*y**3 - 11*y**2 + 11*y + 11. Let d(x) = -3*x**5 - 12*x**4 - 4*x**3 + 4*x**2 - 4*x - 4. Let t(k) = 4*a(k) + 11*d(k). Factor t(p).
p**3*(p + 2)*(3*p + 2)
Let k(c) be the third derivative of -7*c**6/30 - 4*c**5/5 + 2*c**4/3 - 10*c**2. Solve k(h) = 0.
-2, 0, 2/7
Factor 2/11*g**5 + 0*g**4 - 4/11*g**3 + 0 + 2/11*g + 0*g**2.
2*g*(g - 1)**2*(g + 1)**2/11
Let v(r) be the third derivative of r**6/300 + 11*r**5/150 + 2*r**4/3 + 16*r**3/5 - 9*r**2 + 1. Find k, given that v(k) = 0.
-4, -3
Let t(y) = y**3 - 10*y**2 + y - 10. Let f be t(10). Let r(o) be the first derivative of 0*o**3 - 6/5*o**5 + 3/4*o**4 + f*o**2 + 1/2*o**6 + 2 + 0*o. Factor r(g).
3*g**3*(g - 1)**2
Suppose 4*c = -x - 10 - 7, 2*x - 31 = 5*c. Let k(w) be the first derivative of -1/3*w**x - 2 + w + 0*w**2. Determine t, given that k(t) = 0.
-1, 1
Suppose 2*f + 140 = 6*f. Let o be (2/15)/(21/f). Let -4/9*r**2 - 2/9*r**5 - 2/9*r + 2/9 + 4/9*r**3 + o*r**4 = 0. Calculate r.
-1, 1
Let v = -20 - -24. Let p(k) be the second derivative of -13/6*k**5 - 14/9*k**v - 2*k + 0*k**2 - 10/9*k**6 + 0 - 4/9*k**3. What is x in p(x) = 0?
-1/2, -2/5, 0
Suppose 4*k = 16, k + 16 = 4*t + 3*k. Determine n so that -n - 33*n**4 - 27*n**3 + 4*n + 0*n**2 - 12*n**5 - t*n**2 - n**2 = 0.
-1, 0, 1/4
Let n be (-141)/(-6)*-1 + -3. Let b = 27 + n. Factor -b*h**3 + 0 - 1/2*h**4 + 1/2*h**2 + 1/2*h.
-h*(h - 1)*(h + 1)**2/2
Let t(i) = -2*i**5 + 4*i**4 + 3*i**3 + 7*i**2 - 2*i. Let g(c) = 3*c**5 - 4*c**4 - 2*c**3 - 8*c**2 + 3*c. Let l(w) = 3*g(w) + 4*t(w). Find v such that l(v) = 0.
-1, 0
Let t(x) be the second derivative of 7*x**5/20 - x**4/6 - 7*x**3/6 + x**2 + x. Find m, given that t(m) = 0.
-1, 2/7, 1
Let -s**2 - 8*s**3 - 11*s**4 + s**2 - 3*s**5 + 4*s**2 = 0. What is s?
-2, 0, 1/3
Let o(j) = 15*j**3 - 5*j**2 - 5*j - 5. Let a(b) = -7*b**3 + 2*b**2 + 2*b + 2. Let l(m) = 5*a(m) + 2*o(m). Factor l(q).
-5*q**3
What is r in 11*r**3 + 69*r**2 - 66*r**2 - 1 - r - 2*r + 6*r**4 = 0?
-1, -1/3, 1/2
Let x(h) be the third derivative of -1/4*h**5 + 0*h - 1/20*h**6 + 1/4*h**4 + 0*h**3 + 0 + 5*h**2 + 1/14*h**7. Determine s so that x(s) = 0.
-1, 0, 2/5, 1
Let f(i) = -i**3 - 10*i**2 - 6*i + 5. Let z(y) = -9*y**2 - 6*y + 6. Let r(b) = 6*f(b) - 5*z(b). Solve r(h) = 0.
-2, -1/2, 0
Let p = -6 - -12. Let w be ((-9)/p)/(3/(-4)). Suppose -2/7*m**w - 2/7*m + 0 = 0. Calculate m.
-1, 0
Let p(x) be the third derivative of -7*x**2 + 0 + 0*x**4 - 1/90*x**5 + 0*x**3 + 0*x. Find b, given that p(b) = 0.
0
Factor 0*o + 0 - 2/9*o**3 + 2/9*o**4 - 4/9*o**2.
2*o**2*(o - 2)*(o + 1)/9
Factor 3*m + 3*m**2 + 11*m + 7*m - 3*m.
3*m*(m + 6)
Suppose 9*t - 4*t - 10 = 0. Let v(n) be the first derivative of 4/35*n**5 + 3 - 1/21*n**6 - 4/21*n**3 + 0*n**4 + 1/7*n**t + 0*n. Factor v(p).
-2*p*(p - 1)**3*(p + 1)/7
Let b be (4/6)/(49/21). Determine i, given that -2/7 - 4/7*i - b*i**2 = 0.
-1
Let r(o) = -2*o**3 - 5*o**2 - 3*o + 3. Let q(f) = -3*f**3 - 5*f - 2*f + 2*f + 5 - 9*f**2. Let h(y) = 3*q(y) - 5*r(y). Factor h(d).
d**2*(d - 2)
Suppose -5*k + 19 = 9. Let w(b) be the third derivative of 1/9*b**3 - b**k + 1/20*b**5 + 0 + 1/72*b**6 + 0*b + 7/72*b**4 + 1/630*b**7. Factor w(z).
(z + 1)**3*(z + 2)/3
Suppose -3*w + 13 + 2 = 0. Let r(f) be the second derivative of 0*f**2 + 0*f**3 - f + 0*f**w + 0*f**6 + 0*f**4 + 0 - 1/147*f**7. Solve r(y) = 0 for y.
0
Let l(f) be the first derivative of 0*f + 6 + 3/2*f**2 + 7/2*f**3. Suppose l(m) = 0. Calculate m.
-2/7, 0
Let h be (-3)/(29 + 1)*-6. Factor 3/5*w**3 - 3/5 + h*w**2 - 3/5*w.
3*(w - 1)*(w + 1)**2/5
Suppose 0 = -5*a - 22 + 2. Let y be (-3)/18 - 2/a. Find f such that f - f**2 + y*f**3 - 1/3 = 0.
1
Let r(o) be the first derivative of -o**6/60 + o**4/8 - o**3/6 + 3*o - 3. Let u(a) be the first derivative of r(a). What is v in u(v) = 0?
-2, 0, 1
Let w = 512/5 - 100. Factor 8/5*i**2 - w*i**3 - 2/5*i**5 + 8/5*i**4 - 2/5*i + 0.
-2*i*(i - 1)**4/5
Find o, given that -12/5 - 12/5*o - 3/5*o**2 = 0.
-2
Let h be 18/162 + (-106)/(-18). Let w(a) be the first derivative of -2 + 0*a**5 - 1/9*a**h + 0*a**3 + 0*a + 1/3*a**4 - 1/3*a**2. Suppose w(b) = 0. What is b?
-1, 0, 1
Factor 4/3*a**2 - a**4 + 0 + 1/3*a**5 + 0*a + 0*a**3.
a**2*(a - 2)**2*(a + 1)/3
Let z = 157/405 + 1/81. Factor 3*n - 16/5*n**3 + 24/5*n**2 + z.
-(n - 2)*(4*n + 1)**2/5
Let o be -3 + 2/(6/15). Factor -2*x**3 + 0*x**2 - o*x**2 + 2*x**2 + 2*x**5.
2*x**3*(x - 1)*(x + 1)
Let v(g) = 75*g**4 + 18*g**3 - 95*g**2 - 22*g + 22. Let u(m) = -m**3 - m + 1. Let d(s) = -2*u(s) + v(s). What is o in d(o) = 0?
-1, -2/3, 2/5, 1
Let t(x) = -51*x**4 - 9*x**3 + 39*x**2. Let a(r) = 5*r**4 + r**3 - 4*r**2. Let q be (-2 - -1)/(4/84). Let k(g) = q*a(g) - 2*t(g). Factor k(n).
-3*n**2*(n - 1)*(n + 2)
Suppose -2*z - 3*z = 2*g + 6, -3*z - 4*g = 12. Suppose -5*w - 2 = 4*b, -b + 6 = -2*b - 4*w. Determine s, given that 0*s**b + z + 2/9*s**3 - 2/9*s = 0.
-1, 0, 1
Let y(h) = h**2 - 7*h + 6. Let q(b) = b**2 - b. Let c(i) = 4*q(i) - y(i). Factor c(j).
3*(j - 1)*(j + 2)
Factor -2/3 + 4*y**3 + y + 17/3*y**2.
(y + 1)*(3*y + 2)*(4*y - 1)/3
Let f(n) = -2*n. Let a(r) = -5*r**2 - 124*r - 845. Let v(j) = -a(j) - 3*f(j). Solve v(u) = 0.
-13
Suppose 24/5*y**3 - 12/5 + 9/5*y**2 - 36/5*y - 9/5*y**4 = 0. What is y?
-1, -1/3, 2
Let i(k) be the second derivative of 1/60*k**5 + 0 + 1/36*k**4 + 0*k**3 + 0*k**2 + 3*k. Factor i(w).
w**2*(w + 1)/3
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