 - t/(-4). Suppose 9*r + 6*r**2 - 3*r**4 - 6*r - 3*r**x - r**5 - 2*r**5 = 0. Calculate r.
-1, 0, 1
Let z = -109 - -331/3. Factor z*h + 2/3*h**2 + 0.
2*h*(h + 2)/3
Let m(j) be the second derivative of j**5/90 - j**4/54 - 4*j. Factor m(p).
2*p**2*(p - 1)/9
Let g(d) = 3*d**4 - 35*d**2 - 32*d + 2. Let n(v) = -8*v**4 + 105*v**2 + 97*v - 7. Let z(b) = -7*g(b) - 2*n(b). Determine u, given that z(u) = 0.
-2, -1, 0, 3
Suppose 0*h - 1/3*h**3 + 0 - 1/3*h**2 = 0. What is h?
-1, 0
Let m(p) be the second derivative of p**5/50 + 8*p**4/45 + 17*p**3/45 + 4*p**2/15 + 4*p. Factor m(u).
2*(u + 1)*(u + 4)*(3*u + 1)/15
Let n be 1 + ((-10)/(-6) - 0). Factor -n*d - 2/3 - 2*d**2.
-2*(d + 1)*(3*d + 1)/3
Let c(g) be the second derivative of -5*g**6/6 - 13*g**5/4 - 5*g**4/3 + 10*g**3/3 + 44*g. Factor c(z).
-5*z*(z + 1)*(z + 2)*(5*z - 2)
Let j = 16 + -16. Let h(a) be the first derivative of 0*a**2 + 0*a**3 + j*a + 1/12*a**4 - 1. Determine d so that h(d) = 0.
0
Let h(y) be the first derivative of -y**5 + 10*y**4 - 20*y**3 - 80*y**2 + 320*y + 56. Factor h(n).
-5*(n - 4)**2*(n - 2)*(n + 2)
Suppose 0 = -4*j + 8 - 0. Factor -2*r + 4 + 4*r**2 + 4*r - 6*r**j.
-2*(r - 2)*(r + 1)
Let b(t) be the third derivative of t**5/12 + 5*t**4/12 + 10*t**2. Let b(d) = 0. What is d?
-2, 0
Let i(a) be the second derivative of a**6/90 - a**5/15 + 5*a**4/36 - a**3/9 + 5*a. Factor i(f).
f*(f - 2)*(f - 1)**2/3
Let n(b) = 4 - 14 - 45*b - 135*b**2 - 90*b**3 - 2. Let h(v) = 91*v**3 + 136*v**2 + 44*v + 13. Let q(r) = 6*h(r) + 7*n(r). Solve q(d) = 0.
-1, -2/7, -1/4
Let a(l) be the first derivative of 3*l**4/4 + 13*l**3/3 + 8*l**2 + 4*l - 4. Factor a(h).
(h + 2)**2*(3*h + 1)
Let l be 3 - 0 - (-51)/(-27). Let t be (-1 - -2)*(0 - -2). Factor 4/9*j**t - l*j + 4/9.
2*(j - 2)*(2*j - 1)/9
Solve -1/5*b**3 + 2/5 + 4/5*b**2 - b = 0.
1, 2
Factor -8*l**3 - 4*l + 3*l**2 - 3*l**2 + 12*l**3 - 4 + 4*l**2.
4*(l - 1)*(l + 1)**2
Let x = -77 + 387/5. Suppose -2/5*y - x*y**3 - 4/5*y**2 + 0 = 0. Calculate y.
-1, 0
Let d(w) be the first derivative of 8/9*w + 7 + 10/27*w**3 + 8/9*w**2 + 1/18*w**4. Factor d(u).
2*(u + 1)*(u + 2)**2/9
Let d(a) be the third derivative of a**5/30 + a**4/12 - a**3/6 - 5*a**2. Let c(f) = -1. Let h(r) = -c(r) + d(r). Suppose h(n) = 0. What is n?
-1, 0
Suppose s + 12 = 5*s. Suppose -4*m = -3*m - s. Solve u + 3 - 4*u**2 - 2*u**m + u + 1 = 0.
-2, -1, 1
Let p(g) be the second derivative of -2/9*g**3 + 8*g - 1/63*g**7 + 1/18*g**4 + 0 - 1/45*g**6 + 0*g**2 + 1/10*g**5. Solve p(z) = 0 for z.
-2, -1, 0, 1
Let n(v) = -v + 2. Let q be n(0). Let 2/5*i**q - 1/5*i - 3/5 = 0. What is i?
-1, 3/2
Let b(p) be the third derivative of p**7/14 + p**6/12 - p**5/3 - 5*p**4/12 + 5*p**3/6 - 9*p**2. Factor b(m).
5*(m - 1)*(m + 1)**2*(3*m - 1)
Factor 0*l + 0*l**2 + 0*l**3 + 0 - 1/2*l**5 + 3/2*l**4.
-l**4*(l - 3)/2
Let s(w) be the first derivative of -2*w**6/3 - 4*w**5 - 9*w**4 - 28*w**3/3 - 4*w**2 - 9. Let s(z) = 0. Calculate z.
-2, -1, 0
Factor 32 - 412*k - 63*k**2 - 36*k**3 + 300*k - 73*k**2.
-4*(k + 2)**2*(9*k - 2)
Let j(n) be the second derivative of -2/3*n**3 + 0 + 3*n - 3*n**2 - 1/18*n**4. Factor j(y).
-2*(y + 3)**2/3
Let o(y) be the second derivative of -1/2*y**2 + 0 - 1/120*y**6 + 1/16*y**4 - 1/40*y**5 + y + 1/6*y**3. Determine i so that o(i) = 0.
-2, 1
Let h(o) be the second derivative of 91/8*o**5 - 19/4*o**4 - 3*o + 2*o**2 - 49/15*o**6 - 7/3*o**3 + 0. Find q, given that h(q) = 0.
-1/4, 2/7, 2
Suppose 3*c - 2*b - 2*b = 9, 3*c = -5*b + 9. Let l = 13 - 13. Suppose -2/5*k**2 + 0*k + l - 2/5*k**c = 0. Calculate k.
-1, 0
Let k(f) be the third derivative of f**4/24 - f**2. Let y(g) = -18*g + 0*g**2 + 4 + 2*g**2 + 0. Let b(s) = -12*k(s) - y(s). Factor b(u).
-2*(u - 2)*(u - 1)
Suppose 0*j + 1/2*j**3 - 1/4*j**2 + 0 - 1/4*j**4 = 0. What is j?
0, 1
Let z(c) be the second derivative of 0*c**2 - 1/4*c**3 - 1/24*c**4 + 3*c + 0. Factor z(v).
-v*(v + 3)/2
Let m = 112 + -108. Let 0 - 2/7*j**5 - 4/7*j**m + 0*j**2 + 0*j - 2/7*j**3 = 0. What is j?
-1, 0
Suppose 25 = -9*j + 4*j. Let o = j - -10. Find s such that -5*s**3 - s**o - s**5 + 7*s**3 = 0.
-1, 0, 1
Let f(h) = -2*h - 4. Let c be f(-2). Let i(m) be the second derivative of c + 2/3*m**3 - 1/2*m**4 + 3*m + 0*m**2. Determine y so that i(y) = 0.
0, 2/3
Suppose 2*r - 14 = -6. Factor r*f**2 - 3*f - f - 4 - 2*f**2 + 6.
2*(f - 1)**2
Let n be 2 - (2 + (-2 - 3)). Factor -2*b**3 - 2*b**5 - b**n + b**5 + 4*b**4.
-2*b**3*(b - 1)**2
Let -a + 1/4*a**2 + 1 = 0. What is a?
2
Let s(q) be the first derivative of 7*q**5/60 + 3*q**4/8 + q**3/3 + q**2 - 3. Let y(v) be the second derivative of s(v). Factor y(i).
(i + 1)*(7*i + 2)
Let k = 1373/102 + 2/51. Suppose -3 - k*y**3 + 24*y**2 - 15/2*y = 0. What is y?
-2/9, 1
Let k = 11839/7890 - 2/3945. Find m such that 0*m**3 + 3/4*m + 3/2*m**2 - 3/4*m**5 - k*m**4 + 0 = 0.
-1, 0, 1
Let 2*j**4 - j**2 + j**2 + 3*j**4 + 10*j**3 = 0. Calculate j.
-2, 0
Let l(f) be the third derivative of -f**8/168 - f**7/315 + f**6/60 + f**5/90 - 5*f**2. Let l(m) = 0. Calculate m.
-1, -1/3, 0, 1
Suppose 2*g + 4 - 14 = 0. Let f(m) = -m**3 + 4*m**2 + 2*m - 5. Let w be f(4). Factor 2*r**5 - r**2 + 3*r**3 + 2*r**5 - 3*r**4 - w*r**g.
r**2*(r - 1)**3
Let j = -5/22 - -221/198. Let r(d) be the first derivative of 3 + 4/9*d**2 + j*d + 2/27*d**3. Factor r(s).
2*(s + 2)**2/9
Solve 0 - 8*b**3 - 17/2*b**2 + 7/2*b**4 + 3*b = 0.
-1, 0, 2/7, 3
Factor 4*w - 8*w + 0*w**2 - w**2 - 4 + 0*w**2.
-(w + 2)**2
Let s(m) = -m**2 + 5*m + 2. Suppose -4*j - 3 = -23. Let q be s(j). Factor 0 + 1/3*g**q + 1/3*g.
g*(g + 1)/3
Let d(u) = -2*u**4 - 4*u**3 - 2*u**2 - 4. Let a(b) = -2*b**4 - 4*b**3 - b**2 + b - 3. Let s(p) = -4*a(p) + 3*d(p). Find c such that s(c) = 0.
-2, -1, 0, 1
Factor -2*j**4 + 2*j**4 + 3*j**4 - j**4 + 2*j**5.
2*j**4*(j + 1)
Let l be (-7)/28*(-10 - (-2 - 2)). Determine u so that 3/4 - l*u + 3/4*u**2 = 0.
1
Let s be (-3)/(-9) - (-5919)/63. Let c = s + -94. Suppose 6/7*x**2 - 2/7*x**3 - 6/7*x + c = 0. What is x?
1
Let y(f) = 3*f**4 + 5*f**3 - f**2 - f + 2. Let a(i) = -3*i**4 - 6*i**3 - 3. Let q(x) = 2*a(x) + 3*y(x). Factor q(z).
3*z*(z - 1)*(z + 1)**2
Let n be 2 + (-1)/(3/4). Let t(r) be the first derivative of 2*r - 2*r**2 + n*r**3 - 1. Factor t(o).
2*(o - 1)**2
Let h = 4/3 + -5/6. Factor -1/2*i - h*i**3 + 0 - i**2.
-i*(i + 1)**2/2
Suppose -4*y = -0*y - 8. Let t be (-1)/(y*3/(-12)). Determine o so that 5*o**3 + 2*o**3 + 8 - 3*o**3 + 24*o + 18*o**t = 0.
-2, -1/2
Let v(o) be the second derivative of -o**4/4 - 9*o**3 - 243*o**2/2 + 24*o. Solve v(d) = 0 for d.
-9
Let d(z) be the first derivative of 2*z**3/3 - 3*z**2 - 8*z - 2. Factor d(w).
2*(w - 4)*(w + 1)
Let q(o) be the second derivative of 3*o**5/20 - o**3/2 + 18*o. What is l in q(l) = 0?
-1, 0, 1
Let d(y) be the third derivative of y**5/140 - y**4/7 + 8*y**3/7 + 8*y**2. Solve d(w) = 0.
4
Suppose -3*c = 9, 0 = -5*a - 2*c + c + 17. Let v(f) be the second derivative of -1/12*f**3 - 1/60*f**6 + 0*f**2 + 0 + 1/24*f**a + f + 1/40*f**5. Factor v(k).
-k*(k - 1)**2*(k + 1)/2
Let z(y) be the third derivative of -y**5/80 + y**4/16 - y**3/8 + 2*y**2. Factor z(l).
-3*(l - 1)**2/4
Solve 1/2*v**3 + 0 + 0*v**2 - 1/2*v = 0.
-1, 0, 1
Let b(r) = 5*r**3 + 5*r**2 + 6*r - 6. Let y(h) = -4*h**3 - 4*h**2 - 5*h + 5. Suppose -10 = -2*p + 2. Let z(i) = p*y(i) + 5*b(i). Find m such that z(m) = 0.
-1, 0
Let u = -1/153 - -64/1989. Let t = u - -17/13. Factor -4/3*a - 1/3*a**3 + t*a**2 + 0.
-a*(a - 2)**2/3
Let z(i) be the third derivative of -i**6/540 + i**5/60 - i**4/18 + i**3/6 - 3*i**2. Let b(j) be the first derivative of z(j). Solve b(n) = 0 for n.
1, 2
Suppose -w - w = 2*k, 2*k + 3*w = -5. Suppose -k*v = 3*s - 15, 3*v + 0 = -5*s + 25. Solve -3/2*g**4 + 0*g + 0 + 1/2*g**2 + g**s + 0*g**3 = 0.
-1/2, 0, 1
Let w(a) be the third derivative of 49*a**6/480 - 21*a**5/40 + 5*a**4/8 - a**3/3 - 7*a**2. Factor w(u).
(u - 2)*(7*u - 2)**2/4
Solve -7/2*r**3 + 9/4 - 7/4*r**4 - 1/4*r**5 + 15/4*r - 1/2*r**2 = 0 for r.
-3, -1, 1
Let l(o) be the third derivative of -o**9/30240 + 2*o**5/15 + 8*o**2. Let f(r) be the third derivative of l(r). Solve f(s) = 0 for s.
0
Suppose -4*c - 5*c = -c. Suppose 1/4*s**3 + c*s - 1/4*s**4 + 0*s**2 + 0 = 0. Calculate s.
0, 1
Let w = -126 - -644/5. Find j, given that 16/5*j**2 + 2/5 - w*j + 32/5*j**3 = 0.
-1, 1/4
Suppose -5*b = 50 - 60. Factor -1/2*u**3 - u - 