4*q**2/9 + 16*q/3 - 16. Solve g(c) = 0.
-3, -2/5, 2
Let a(d) = d**2. Let w(r) = 4*r + 4. Let x(s) = -a(s) - w(s). Find k, given that x(k) = 0.
-2
Let s = 2 + 0. Let y be 0/(2/(4/(-2))). Factor 0 + 1/2*b**3 + y*b + 0*b**s.
b**3/2
Let y(v) be the second derivative of v**5/70 + v**4/21 + 11*v. Factor y(d).
2*d**2*(d + 2)/7
Suppose -h = -2 + 3. Let s be (2/5)/(h/(-10)). Factor 2*j**5 - 3*j**4 - j**5 - s*j + j + 2*j**2 + 1 + 2*j**3.
(j - 1)**4*(j + 1)
Suppose -2*h + q + 10 = -0*h, 4*q = -4*h - 4. Let u be (h/6)/(0 + 1). Suppose 0 + i**3 - 1/2*i**2 - u*i**4 + 0*i = 0. Calculate i.
0, 1
Factor d + 0 - 1/2*d**4 + 2*d**3 - 5/2*d**2.
-d*(d - 2)*(d - 1)**2/2
Suppose -2*v - 28 = -16*v. Find r, given that -2/5*r + 4/5*r**3 + 4/5*r**v - 2/5 - 2/5*r**4 - 2/5*r**5 = 0.
-1, 1
Let i(v) = v**3 + 4*v**2 + 1. Let y be i(-4). Let d be ((-1)/(-3))/(y/15). Find n such that d*n + n**3 + 2*n**2 - 4*n + 0*n**3 = 0.
-1, 0
Factor 3/4*j**4 + 27/4*j**2 + 21/4*j + 15/4*j**3 + 3/2.
3*(j + 1)**3*(j + 2)/4
Suppose 4*t**3 + 9 - 23 + 13 - 9*t**2 + 6*t = 0. Calculate t.
1/4, 1
Let y = 7 + -8. Let q be 2*(y + 4/2). Solve 2*u**2 - 3*u**q + 0*u**4 + u**4 + u**5 - u**3 = 0 for u.
-1, 0, 1
Let r(u) be the first derivative of u**6/30 + u**5/4 + 2*u**4/3 + 2*u**3/3 - 3*u + 2. Let l(w) be the first derivative of r(w). Let l(a) = 0. Calculate a.
-2, -1, 0
Let i(z) be the second derivative of -z**8/3360 - z**7/420 + z**5/15 - z**4/3 - 4*z. Let h(l) be the third derivative of i(l). Suppose h(n) = 0. What is n?
-2, 1
Let t be 2 - (4 + (-322)/160). Let u(d) be the third derivative of 0*d**3 - d**2 + 0*d + t*d**5 + 1/96*d**4 + 0. Factor u(w).
w*(3*w + 1)/4
Let a(z) = 3*z**2 - z. Let b be a(-1). Determine m so that -b*m - 2*m + 4*m + 1 + 4*m + m**2 = 0.
-1
Let q(i) be the second derivative of i**6/15 + 3*i**5/10 - i**4/3 - 4*i**3 - 8*i**2 + 3*i. Suppose q(w) = 0. What is w?
-2, -1, 2
Suppose -16*p + 11*p**3 - 8*p**2 + 5*p**3 - 11*p + 11*p + 12 - 4*p**4 = 0. Calculate p.
-1, 1, 3
Let s(d) be the second derivative of -d**7/840 + d**6/240 + d**4/12 - 7*d. Let n(w) be the third derivative of s(w). Factor n(y).
-3*y*(y - 1)
Let f(x) be the second derivative of -x**7/280 - 7*x**6/1080 + x**5/180 + 2*x**3/3 - x. Let s(a) be the second derivative of f(a). What is d in s(d) = 0?
-1, 0, 2/9
Let j = -6 + 9. Let m(s) be the second derivative of -3*s + 2/9*s**2 + 0 + 2/27*s**4 - 1/90*s**5 - 5/27*s**j. Solve m(r) = 0.
1, 2
Let v(u) be the third derivative of u**7/105 - u**5/15 + u**3/3 + 19*u**2. Factor v(k).
2*(k - 1)**2*(k + 1)**2
Suppose 0*t + 3/2*t**5 - 3/2*t**3 + 0*t**4 + 0*t**2 + 0 = 0. What is t?
-1, 0, 1
Find m, given that 0 - 3/7*m**2 + 6/7*m = 0.
0, 2
Suppose 4*i = -0*p - 4*p + 24, 3*i = 3*p - 18. Solve p*t**2 - 2*t**4 - t**2 + t**2 - 17*t + 13*t = 0.
-2, 0, 1
Let t = -5 - -6. Factor -2 - 13*g**3 - 18*g + g**3 - 27*g**2 - t.
-3*(g + 1)**2*(4*g + 1)
Let z(n) be the third derivative of -1/210*n**7 + 0*n + 0 + 0*n**3 + 0*n**5 - 11*n**2 + 0*n**4 + 1/120*n**6. Factor z(u).
-u**3*(u - 1)
Let y(x) be the second derivative of x**5/30 - 17*x**4/90 + 16*x**3/45 - 4*x**2/15 + 8*x. Factor y(h).
2*(h - 2)*(h - 1)*(5*h - 2)/15
Let x(z) be the second derivative of -1/3*z**3 + 1/2*z**2 + 0*z**4 - 1/30*z**6 + 1/10*z**5 + 0 - 7*z. Factor x(w).
-(w - 1)**3*(w + 1)
Let s be ((-2)/5 - -1)/((-74)/(-185)). Factor s*d**3 + 0*d**4 + 0*d + 0*d**2 + 0 - 3/2*d**5.
-3*d**3*(d - 1)*(d + 1)/2
Suppose q + 7 = 2*a - 0*a, -3*q + 24 = 3*a. Suppose 0 = -r + q*y - 13 + 3, -4*y + 16 = 0. Determine n, given that n**2 + r*n + n**3 - 5*n**4 - 3*n + 4*n**4 = 0.
-1, 0, 1
Find z, given that 8 + 7*z + 16*z**2 + z + 2*z**2 + 32*z = 0.
-2, -2/9
Suppose 4 = 2*h - 0*h. Suppose h*s + 2*s = -2*f + 8, 2 = 3*f - 4*s. Suppose 3*c**3 - 3*c**4 + c**3 + 4*c**4 - 4*c + 3*c**f - 4 = 0. What is c?
-2, -1, 1
Let a(r) be the second derivative of r**5/80 + r**4/24 + r**3/24 + 6*r. Factor a(c).
c*(c + 1)**2/4
Let x(d) be the third derivative of d**8/112 - d**6/40 + 5*d**2. Factor x(r).
3*r**3*(r - 1)*(r + 1)
Let m(c) = -c**2 - 5*c - 6. Let h(x) = -5*x**2 - 20*x - 25. Let l(g) = -6*h(g) + 25*m(g). Factor l(n).
5*n*(n - 1)
Let a(v) be the third derivative of -v**5/100 + v**4/30 + 2*v**3/15 + 7*v**2. Factor a(t).
-(t - 2)*(3*t + 2)/5
Let b(q) = 3*q**3 - 4*q + 4. Let o(f) = -4*f**3 + 5*f - 5. Let m = 3 + -7. Let s(i) = m*o(i) - 5*b(i). Factor s(w).
w**3
Suppose 0 = 3*u - 4*u + 11. Factor u - 3*j**2 - 3 + 2 - 6*j - 1.
-3*(j - 1)*(j + 3)
Let n be (2/(-4))/(2/(-8)). Factor 2/7*m**3 - 2/7*m**n + 0 + 0*m.
2*m**2*(m - 1)/7
Let c(r) be the second derivative of r**5/270 + r**4/18 + r**3/3 + 3*r**2/2 - 6*r. Let w(k) be the first derivative of c(k). Factor w(m).
2*(m + 3)**2/9
Let r = 7 + -3. Suppose -3*c = 2*c - 10. Suppose 14*v - 10*v**c - r*v - 4 + 4*v = 0. What is v?
2/5, 1
Suppose -m - 2*m = 27. Let o = -6 - m. Solve 0*f + 2/3*f**o + 0 + 1/3*f**2 = 0 for f.
-1/2, 0
Factor 13*k**4 - 4*k**4 + 39*k**5 + 6*k**3 - 36*k**5.
3*k**3*(k + 1)*(k + 2)
Let 24 + 4*s - 5*s - 4*s - 3*s**2 - s = 0. What is s?
-4, 2
Let r(b) = b**2 + 6*b - 10. Let q be r(-7). Let c be -2*(q + (-22)/(-8)). Let -1/2 + 1/2*y**2 - 1/2*y + c*y**3 = 0. What is y?
-1, 1
Let l(j) = j**3 + 4*j**2 + 4*j + 5. Let p be l(-3). Let q(s) be the second derivative of -1/14*s**5 - 2/21*s**3 + 0*s**2 + p*s - 1/6*s**4 + 0. Factor q(t).
-2*t*(t + 1)*(5*t + 2)/7
Let t(h) be the first derivative of 3*h**5/80 - h**3/8 - 4*h + 4. Let r(v) be the first derivative of t(v). Factor r(n).
3*n*(n - 1)*(n + 1)/4
Factor -2/7*v**3 + 0*v**2 + 0 + 0*v - 2/7*v**5 + 4/7*v**4.
-2*v**3*(v - 1)**2/7
Let g(i) = -i**2 - 1. Let y = 5 - 0. Let r(v) = -v**2 - 2. Let l(z) = y*r(z) - 6*g(z). Solve l(c) = 0 for c.
-2, 2
Let d = 9 + -11. Let q be -4 - -4 - d*1. What is u in 18/7*u**3 + 0 + 12/7*u**q + 2/7*u = 0?
-1/3, 0
Let s(o) = o**2 - 8*o - 7. Let f be s(9). Suppose -10 = -f*m - 0. Solve -7 - 2*u + m*u**2 - 4*u**2 + 8 = 0 for u.
1
Suppose -2*j + 3 = j. Suppose -z + 1 + j = 0. Determine x, given that -5*x**3 - 4*x + 3*x**z + x**4 + 3*x**2 + x**3 + 1 = 0.
1
Let s(p) be the second derivative of -p**7/3780 + p**5/180 + p**4/54 - 5*p**3/6 - 2*p. Let i(f) be the second derivative of s(f). Factor i(r).
-2*(r - 2)*(r + 1)**2/9
Let u be 72/(-108) - 2*16/(-30). Factor u*y**2 - 1/5*y**3 + 0 - 1/5*y**4 + 0*y.
-y**2*(y - 1)*(y + 2)/5
Let r = 750/11 + -68. Factor -r*n + 0 + 2/11*n**2.
2*n*(n - 1)/11
Determine h, given that 1/8*h**3 - 1/8*h - 1/4*h**2 + 1/4 = 0.
-1, 1, 2
Suppose 716*l - 90 + 10*l**2 - 821*l - 5*l**3 - 50*l**2 = 0. Calculate l.
-3, -2
Factor -108*o**2 - 17*o**3 - 16 - 15*o**3 - 160*o - 32 + 12*o**3.
-4*(o + 2)*(o + 3)*(5*o + 2)
Let f(u) be the first derivative of u**4/12 + u**3/3 + u - 2. Let d(z) be the first derivative of f(z). What is r in d(r) = 0?
-2, 0
Let v(f) be the third derivative of -f**5/270 + f**4/54 - f**3/27 - 3*f**2. Factor v(p).
-2*(p - 1)**2/9
Let z = 29 - 26. Let l = -4 - -9. Factor 2*x**3 - 5*x**4 + 7*x**5 - z*x**l - x**5.
x**3*(x - 1)*(3*x - 2)
Factor -m + 14*m**2 - 57*m**3 + 55*m**3 - 11*m - 8*m.
-2*m*(m - 5)*(m - 2)
Suppose -l = 2*w - 1, 3 + 24 = 5*l - w. Solve -12 - l*u**2 - 24*u - 2*u**2 - 2*u**2 = 0 for u.
-2, -2/3
Let p(i) be the first derivative of 8*i**4/17 - 80*i**3/51 - 23*i**2/17 - 6*i/17 + 10. Determine c so that p(c) = 0.
-1/4, 3
Suppose -26*g**2 + 25*g**2 + 3*g - 2*g = 0. Calculate g.
0, 1
Let r(h) = -5*h**3 - 5*h**2 - 5*h - 4. Let s be r(-3). Determine b, given that s*b - 2*b**2 - 101*b + 2 = 0.
-1, 1
Let a = 7 + -4. Factor 0 - 5*o**2 - 2*o**3 + a*o**2 - 6*o - 4*o**2 - 2.
-2*(o + 1)**3
Let y(q) be the first derivative of 2/5*q**5 + 4*q**3 - 4*q**2 - 6 - 16*q + 5/2*q**4. Let y(c) = 0. Calculate c.
-2, 1
Let k(y) be the third derivative of y**7/1260 + y**6/324 + y**5/270 - 5*y**3/6 + 2*y**2. Let v(r) be the first derivative of k(r). Factor v(l).
2*l*(l + 1)*(3*l + 2)/9
Let u(l) = l**2 - 3*l + 2. Let c(f) be the second derivative of f**3/3 - f**2 + f. Let h = 2 + -4. Let b(n) = h*u(n) - 3*c(n). Let b(p) = 0. What is p?
-1, 1
Let y = -300 - -902/3. Let y + 0*p - 2/3*p**2 = 0. Calculate p.
-1, 1
Let p(s) be the first derivative of s**6/9 + 2*s**5/15 - s**4/6 - 2*s**3/9 + 3. Factor p(u).
2*u**2*(u - 1)*(u + 1)**2/3
Factor 2*m**2 - 34/5*m + 12/5.
2*(m - 3)*(5*m - 2)/5
Let l(o) be the second derivative of 0 - 1/240*o