 + v + 7.
5*(p - 2)*(p - 1)
Let x = 3948/5 + -788. Let -x + k**3 - 4*k + 2/5*k**2 = 0. What is k?
-2, -2/5, 2
Suppose -5*q = -4*z + 27, -6*q = -q + 15. Suppose -f + m = 0, 10 = -z*f - m + 6*m. Factor 0*b**3 + 4*b**f - 7*b**5 - 2*b**4 + b**3.
-b**3*(b + 1)*(3*b - 1)
Factor 3*g**2 - g**4 + 225*g**3 + 222*g**3 - 449*g**3.
-g**2*(g - 1)*(g + 3)
Let j(l) = -l**2 + 9*l + 12. Let c be j(10). Suppose 5*z + 6 = -5*m + m, 8 = c*z - m. Factor 0*h**2 + 0*h**z + 9*h - 2*h**4 - 6*h**3 - h.
-2*h*(h - 1)*(h + 2)**2
Let g(v) = v**2 + 9*v + 10. Let u be g(-7). Let x be ((-14)/4 - u)/((-18)/(-8)). Factor -2/9*t**2 + x + 0*t.
-2*(t - 1)*(t + 1)/9
Suppose -5075 = 30*o - 5195. Suppose 0*a - 4/11*a**2 - 2/11*a**o + 0 - 6/11*a**3 = 0. What is a?
-2, -1, 0
Factor -2*f**4 - 3265*f + 12*f**2 + 3265*f + 2*f**3.
-2*f**2*(f - 3)*(f + 2)
Let y(v) be the second derivative of 0 + 5/2*v**4 + 6*v**3 + 3*v + 27/5*v**2. Factor y(b).
6*(5*b + 3)**2/5
Let l(d) = d**2 - d. Let n be l(2). Let f be 7 + 0 + (-3)/(-39) + 3552/(-546). Factor f - 2/7*x - 2/7*x**n.
-2*(x - 1)*(x + 2)/7
Let h(i) be the first derivative of 0*i**2 - 4/15*i**5 - 1/36*i**4 + 1/27*i**3 + 0*i + 4. Factor h(m).
-m**2*(3*m + 1)*(4*m - 1)/9
Let m be 8/((-23)/(690/(-80))). Let u(w) be the first derivative of 4*w**2 - 4*w + 4*w**4 + 1 + 28/3*w**m. Determine s, given that u(s) = 0.
-1, 1/4
Let g be ((-7)/14)/((-1)/6). Let n(m) = m**3 - 9*m**2 + 3*m - 1. Let a be n(9). Factor 26 - a - p**g.
-p**3
Let m = 15 + -8. Suppose -m*n - 4 = -9*n. What is j in 2*j**2 - 2*j**2 - j**n = 0?
0
Let h(w) = -w**3 + 3*w**2 + 2*w + 2. Let s be h(3). Let t be 12/(-4) - (-28)/s. Factor 3/2*c**3 + 1/2*c**2 + t*c**5 + 0 + 0*c + 3/2*c**4.
c**2*(c + 1)**3/2
Factor 4*c**2 - 6*c**2 + 5*c**2 - 5*c**2 - 14*c.
-2*c*(c + 7)
Let x(v) be the third derivative of -v**5/40 + 11*v**4/4 + 83*v**2. Factor x(f).
-3*f*(f - 44)/2
Let g be (2/3)/(4 - 52/(-39)). Let n(d) be the second derivative of g*d**3 - 3/40*d**5 - d + 0 + 0*d**2 - 1/16*d**4. Factor n(w).
-3*w*(w + 1)*(2*w - 1)/4
Let i(p) be the second derivative of 125*p**7/231 - 20*p**6/33 - 23*p**5/22 + 19*p**4/33 + 4*p**3/3 + 8*p**2/11 + 4*p + 5. Determine j so that i(j) = 0.
-2/5, 1
Let s = 14762 - 14760. Factor -2/7 - 8/7*o**s - 10/7*o.
-2*(o + 1)*(4*o + 1)/7
Let h(v) = v - 6. Suppose -2*y - 3*y + 43 = -d, 5*y - 39 = 3*d. Let m be h(y). Factor -1 - 5/3*n**2 - 7/3*n - 1/3*n**m.
-(n + 1)**2*(n + 3)/3
Let g(r) be the first derivative of -2*r**5/5 - 33*r**4/2 - 270*r**3 - 2187*r**2 - 8748*r + 41. Factor g(q).
-2*(q + 6)*(q + 9)**3
Factor 1 + 2*v**2 - v**3 - 20*v**2 - 18 - 22*v - 11*v + 1.
-(v + 1)**2*(v + 16)
Let k = -873 + 14842/17. Let x(u) be the second derivative of -u + k*u**2 + 2/51*u**3 + 1/102*u**4 + 0. Factor x(r).
2*(r + 1)**2/17
Suppose 9/8*p**3 - 3/2*p + 3/8*p**5 - 3/2*p**4 + 0 + 3/2*p**2 = 0. What is p?
-1, 0, 1, 2
Determine j, given that -10/7*j**2 - 2*j**3 + 284/7*j - 80/7 = 0.
-5, 2/7, 4
Let o(i) = -8*i + 32. Let g be o(4). Suppose 3*l - 6 = -g. Factor -6*r**l + 3/2*r + 0.
-3*r*(4*r - 1)/2
Let b(z) = 3*z - 22. Let f be b(9). Suppose 4 = -f*l + 14. Find i such that 2*i**2 + 9*i + l*i**2 + 1 - 3*i - i = 0.
-1, -1/4
Let t(n) be the first derivative of -n**5/15 + n**4/4 + 4*n**3/3 - 26*n**2/3 + 16*n - 322. Determine b, given that t(b) = 0.
-4, 2, 3
Suppose -363*i = -370*i. Find t, given that -8*t**3 - 4/3*t + 16/3*t**4 + 16/3*t**2 + i - 4/3*t**5 = 0.
0, 1
Let k be 0/(-1*(-2)/(-1)). Let s be (4/3)/(((-20)/6)/(-5)). Determine i so that 2*i**3 + k*i**3 + 2*i**s - 2*i**4 + 2*i**3 - 2*i - 2*i**3 = 0.
-1, 0, 1
Let i(d) = d**3 - 3*d**2 - 5*d + 8. Let n be i(4). Suppose 0 = f + m - 7 - 8, -n*f + 3*m = -39. Factor -430 - 3*h**3 + 430 - 9*h - f*h**2.
-3*h*(h + 1)*(h + 3)
Let a be (-360)/15*1/(-4). Let g(y) be the third derivative of 1/16*y**4 - 7/80*y**a + 1/35*y**7 + 0*y + 0*y**3 + 1/20*y**5 + 0 + 2*y**2. Solve g(r) = 0 for r.
-1/4, 0, 1
Let x(q) be the third derivative of q**5/4 - 35*q**4/6 - 50*q**3/3 + 411*q**2. Factor x(a).
5*(a - 10)*(3*a + 2)
Suppose -13 = -4*j + 2*s - 5, -5*s = 4*j - 36. Let v be (j - 110/28)*(-3 + 7). Let 4/7*d - v*d**2 - 2/7 = 0. What is d?
1
Let o = -4 + 11. Let j = -4 + o. Determine f so that f**4 + 2*f**2 - j*f**2 - f - 2*f**3 + 2*f**3 + f**3 = 0.
-1, 0, 1
Let i(d) = -2*d**2 + 22*d + 27. Let w be i(12). Let g(f) be the third derivative of 1/8*f**4 + 0*f + 0 + 3*f**2 + 1/20*f**5 - 1/40*f**6 - 1/2*f**w. Factor g(a).
-3*(a - 1)**2*(a + 1)
Let j be (-90)/(-420) - (1674/(-42))/3. Factor -j - 63/4*x - 6*x**2 - 3/4*x**3.
-3*(x + 2)*(x + 3)**2/4
Factor -1/5*c**3 + 2/5*c**2 + 0 + 8/5*c.
-c*(c - 4)*(c + 2)/5
Let w = -22 + 52. Let l be 4/(5/(w/12)). What is c in 0*c - 1/2*c**3 - c**l + 0 = 0?
-2, 0
Let m(f) = f - 4. Let i(k) = k**2 + 79*k - 20. Let n(c) = i(c) - 5*m(c). Suppose n(o) = 0. What is o?
-74, 0
Let i = -7 - -14. Suppose 3*y - i*y + 8 = 0. Factor -9 + 2 + y*j**2 + 5.
2*(j - 1)*(j + 1)
Suppose -24 = -3*j + 5*o, 4*o + 27 = 5*j - 0*o. Find c such that 2*c + 22*c**j - 8*c - 24*c**3 + 8*c**2 = 0.
0, 1, 3
Let q(i) = -18*i + 7. Let f be q(4). Let h = 327/5 + f. Suppose -2/5*n**4 - h*n + 2/5*n**2 + 2/5*n**3 + 0 = 0. Calculate n.
-1, 0, 1
Let z(o) = 177*o - 18 - 6 - 169*o - 24*o**2. Let w(x) = -x**2 - 1. Let r(v) = -20*w(v) + z(v). Determine i so that r(i) = 0.
1
Let s be (3 - (-36)/(-16))/(6 + 0). Let -3/8 + 5/8*v - s*v**2 - 1/8*v**3 = 0. What is v?
-3, 1
What is b in 4*b**4 - 95*b**2 + b**5 - 3*b**5 - 4*b**3 + 22*b**3 - 16*b - 102*b**2 + 193*b**2 = 0?
-2, -1, 0, 1, 4
Let h(y) be the first derivative of y**4/3 + 2*y**3 + 3*y + 18. Let p(w) be the first derivative of h(w). Factor p(s).
4*s*(s + 3)
Suppose -3*o + 3*y = 69, 2*o = y - 5*y - 22. Let g = -131/7 - o. Let 32/7 + g*b**2 - 16/7*b = 0. Calculate b.
4
Let v(w) be the third derivative of 7*w**5/20 - 9*w**4/8 - 21*w**3/2 - 14*w**2. Let m(k) = -3*k**2 + 4*k + 9. Let r(h) = -15*m(h) - 2*v(h). Factor r(t).
3*(t - 3)*(t + 1)
Let m(w) be the second derivative of w**4/3 - 220*w**3/3 + 6050*w**2 + 68*w. Factor m(h).
4*(h - 55)**2
Let a(m) = 2*m**4 + 4*m**3 + 10*m**2 - 16*m. Let n(t) = 3*t**4 + 2*t**3 + 11*t**2 - 16*t. Let k(p) = -7*a(p) + 6*n(p). Factor k(x).
4*x*(x - 4)*(x - 1)*(x + 1)
Suppose 3*r - 9 = 5*q - 4*q, 12 = -2*q + 3*r. Let b be (-10)/q*18/12. Solve 6*o**2 - 10*o**4 + 5*o**3 - 7*o**2 + o**2 + b*o**5 = 0.
0, 1
Let u = -1955 + 68437/35. Let y = u + -37/210. Factor -1/2*b**2 + 1/3*b + y*b**3 + 0.
b*(b - 2)*(b - 1)/6
Solve 144 - 9*m**2 + 359*m**4 + 32*m**3 - 43*m**2 - 128*m - 355*m**4 = 0 for m.
-9, -2, 1, 2
Let b = 2469/7 + -2442/7. Suppose 6/7*j + 0 + 33/7*j**3 + b*j**2 + 0*j**4 - 12/7*j**5 = 0. What is j?
-1, -1/2, 0, 2
Let h be (-60)/(-16) - (-15)/(-20). Let y(z) be the second derivative of -2/3*z**h + 0 - 7*z + 1/3*z**4 - 4*z**2. Factor y(i).
4*(i - 2)*(i + 1)
Let p(x) be the second derivative of 5*x + 1/330*x**5 + 1/33*x**3 - 2*x**2 + 1/66*x**4 + 0. Let y(r) be the first derivative of p(r). Find a such that y(a) = 0.
-1
Determine j, given that 70*j**2 + 4*j**3 + 5*j**3 - 63*j**2 - 9*j + j**4 - 8 = 0.
-8, -1, 1
Let v(q) be the third derivative of q**5/100 - 97*q**4/60 + 64*q**3/15 + 143*q**2. Find y such that v(y) = 0.
2/3, 64
Let j(y) be the third derivative of -y**9/75600 + y**7/2100 + y**6/450 - 11*y**5/30 + 21*y**2. Let g(c) be the third derivative of j(c). Factor g(d).
-4*(d - 2)*(d + 1)**2/5
Let g(a) be the second derivative of -a**5/12 + 385*a**4/36 + 65*a**3/3 + 110*a + 1. Factor g(w).
-5*w*(w - 78)*(w + 1)/3
Let -1/2*z**2 - 11/2 - 6*z = 0. What is z?
-11, -1
Suppose l + 14*f - 24*f = -13*f + 4, -4*f = 0. Factor 0*t**l + 0 + 0*t**2 + 4/19*t**3 - 2/19*t - 2/19*t**5.
-2*t*(t - 1)**2*(t + 1)**2/19
Let v(m) be the first derivative of 9 + 3/4*m**4 - 1/10*m**6 - 5*m + 0*m**5 + 0*m**2 + m**3. Let n(x) be the first derivative of v(x). Factor n(h).
-3*h*(h - 2)*(h + 1)**2
Let l(b) = -b**2 - 26*b + 4. Let f be l(-26). Factor -24*z**4 - f*z**5 - 36*z**3 + 6*z**2 + 8*z**2 - 14*z**2.
-4*z**3*(z + 3)**2
Let m be (-2 - 0)/(-5 - -4). Suppose 0 = x - 4*i + 14, 5*i - 10 = x + m*i. Factor -3 - 37*t**2 - 1 + 12*t - 4 + 33*t**x.
-4*(t - 2)*(t - 1)
Suppose -2*m + 20 = 2*d, -7 + 17 = 3*d - 2*m. Factor -d*q + 15*q**2 - 15*q**2 - q**3 + 3*q**3 - 4.
2*(q - 2)*(q + 1)**2
Suppose 5*q = -j - 4*j, 4*q = -3*j. Let z(m) = 3*m**2 + 90*m + 2. Let