 Factor k(s).
-5*(s - 33)*(s + 1)**3
Let z(u) be the second derivative of 0 - 1/110*u**5 + 2/11*u**2 - 8*u - 1/22*u**4 + 1/165*u**6 + 1/33*u**3. Suppose z(x) = 0. What is x?
-1, 1, 2
Factor 29*c**3 - 45*c**3 - 9*c**2 + 15*c**3.
-c**2*(c + 9)
Let k(d) be the third derivative of -d**6/144 - 29*d**5/24 - 4205*d**4/48 - 121945*d**3/36 - 106*d**2. Factor k(o).
-5*(o + 29)**3/6
Let x be (5*(-30)/175)/((-18)/84). Factor 0*q - 3/5*q**x + 0*q**3 + 6/5*q**2 - 3/5.
-3*(q - 1)**2*(q + 1)**2/5
Suppose -8 = 3*b - 20. Let g be b + 5 + -2 + -5. Find z such that 2*z**g - 4*z**3 + 0*z**2 + 2*z**3 = 0.
0, 1
Let d(s) be the first derivative of s**4/26 + 4*s**3/39 - 11*s**2/13 - 24*s/13 - 38. What is m in d(m) = 0?
-4, -1, 3
Let u(j) = j**2 + 3*j + 26. Let n be u(0). Suppose -8*q - 10 = -n. Factor -1/3*r**3 + 0 + 1/3*r + 1/2*r**q.
-r*(r - 2)*(2*r + 1)/6
Factor l**2 - 5*l**2 + 29*l + 2*l**4 - 2 + 8*l - 13*l - 6*l**3 - 14.
2*(l - 2)**2*(l - 1)*(l + 2)
Let p(z) be the second derivative of -z**4/48 + z**2/2 - 2*z + 16. Factor p(m).
-(m - 2)*(m + 2)/4
Let h(r) = -r + 7. Let b be h(4). Suppose -k - v = -10, -3*v = k - b - 15. Factor 4*w**3 + k*w**2 + w**2 - 4*w**2 - 6*w - w**3.
3*w*(w - 1)*(w + 2)
Let k = -20 + 22. Suppose 2 = -9*t + 5*t - l, l = -2. Factor t - 4/3*m + 2*m**k.
2*m*(3*m - 2)/3
Suppose 7*g = 175 + 119. Let o = g + -38. Solve 3/4*h**2 + 0*h + 0*h**3 + 0 - 12*h**o = 0 for h.
-1/4, 0, 1/4
Let x = 254 - 3300/13. Let a be (-14)/(-130) + ((-54)/30 - -2). Factor x*l**2 + a - 6/13*l.
2*(l - 2)*(l - 1)/13
Factor -57/2*o - 3/2*o**2 - 51.
-3*(o + 2)*(o + 17)/2
Let b be (1 - 1)/(13 + -11). Factor 1/5*p**5 - 2/5*p**4 + b - 4/5*p**3 + 3/5*p + 2/5*p**2.
p*(p - 3)*(p - 1)*(p + 1)**2/5
Let h(u) be the second derivative of u**4/18 + u**3/3 + 2*u**2/3 - 35*u. Find m such that h(m) = 0.
-2, -1
Solve 125 + 65*z**2 - 247 + 112 + 45*z**3 - 45*z - 55*z**4 = 0.
-1, -2/11, 1
Suppose 757 + 975 = 2*x. Find y such that -866 - 5*y**2 - 25*y + x = 0.
-5, 0
Suppose 0 = 5*c - 5*d - 35, -c + 3*d - 4*d - 3 = 0. Let l(v) be the first derivative of 1/11*v**c - 2/33*v**3 - 4 + 0*v. Factor l(q).
-2*q*(q - 1)/11
Let h = -22 + 26. Factor -106 - n - n**2 + n**3 + n**h + 106.
n*(n - 1)*(n + 1)**2
Find t, given that -2*t - 4*t**2 + 0*t + 4*t - 6*t = 0.
-1, 0
Let k = 11887/27720 + -1/3960. Suppose -3/7*i**4 - 15/7*i - 6/7*i**2 - k*i**5 + 18/7*i**3 + 9/7 = 0. What is i?
-3, -1, 1
Let w = -27961/7 - -3997. Suppose -w*p**2 - 3/7*p + 6/7*p**4 - 3/7*p**3 + 6/7 = 0. Calculate p.
-1, 1/2, 2
Let k(l) be the third derivative of 2/15*l**5 + 0*l - 2/15*l**6 + 5/6*l**4 - 8/105*l**7 + 4/3*l**3 - 1/84*l**8 + 10*l**2 + 0. Suppose k(d) = 0. Calculate d.
-2, -1, 1
Suppose 0*g = -2*g. Factor q + 7*q**2 + q - q**2 - 8 + g*q**2.
2*(q - 1)*(3*q + 4)
Let o = -52 + 38. Let y(p) = -p**3 - 15*p**2 - 15*p - 12. Let f be y(o). Let 2/5*i**f + 0 + 2/5*i = 0. What is i?
-1, 0
Let g = 280 - 280. Let i(a) be the second derivative of 1/10*a**6 + 0 + 1/10*a**5 + 0*a**3 + g*a**2 - 1/12*a**4 - 4*a. Factor i(t).
t**2*(t + 1)*(3*t - 1)
Let b(x) be the third derivative of 2*x**7/735 - 4*x**5/35 + 8*x**4/21 - 12*x**2 + x. Solve b(a) = 0 for a.
-4, 0, 2
Factor -5*x**2 - 6*x**3 - 10*x**3 - x**5 + 19*x**3 + x**4 + 0*x**4 + 2*x.
-x*(x - 1)**3*(x + 2)
Factor 120/7 + 20/7*j**2 + 44*j.
4*(j + 15)*(5*j + 2)/7
Let s(q) = q**2 - 7*q + 14. Let i be s(2). Factor -6076*g**3 + 2 - 5582*g**5 + 1232*g**2 - 114*g + 2 - 3716*g**4 + 16064*g**i + 780*g**5.
-2*(g - 2)*(7*g - 1)**4
Let a = -1031/3 - -344. Let k be 16/(-4) + 7/1. Suppose 4/3*q**2 + 0*q - a*q**4 + 0 - 1/6*q**5 + 2/3*q**k = 0. What is q?
-2, 0, 2
Let r be (-4264)/96 - (2 - -3). Let w = r - -203/4. Determine z, given that w*z**3 - 4/3*z + 1/3*z**4 + 2/3*z**2 - 1 = 0.
-3, -1, 1
Let d be -1 + (-1)/(-3) - (-598)/672. Let v = 1/16 + d. Solve 8/7*l**2 - 10/7*l + 4/7 - v*l**3 = 0 for l.
1, 2
Let w(r) be the second derivative of -r**4/90 + 7*r**3/45 + 44*r**2/15 - 12*r - 11. Factor w(s).
-2*(s - 11)*(s + 4)/15
Let k(u) be the third derivative of u**6/40 - 4*u**5/25 + 3*u**4/40 - 29*u**2 - 3*u. Factor k(z).
3*z*(z - 3)*(5*z - 1)/5
Let m(p) be the third derivative of -2/315*p**7 + 0*p**3 + 0*p**4 - 1/90*p**6 + 0*p + 0 + 9*p**2 + 2/45*p**5. Suppose m(l) = 0. What is l?
-2, 0, 1
Let i(o) be the first derivative of 2*o**5/65 - 5*o**4/13 + 22*o**3/13 - 44*o**2/13 + 40*o/13 - 197. Find s, given that i(s) = 0.
1, 2, 5
Suppose -49*o - 256 = -53*o. Let y be (30/9)/(-5)*o/(-20). Suppose 2/15*z**2 - 16/15*z + y = 0. What is z?
4
Let i(g) be the first derivative of g**6/15 + 2*g**5/15 - 11*g**4/54 + 2*g**3/27 - 24*g + 5. Let y(z) be the first derivative of i(z). Factor y(c).
2*c*(c + 2)*(3*c - 1)**2/9
Let f(s) be the first derivative of 2*s**5/5 + 7*s**4/2 + 4*s**3 - 28*s**2 - 80*s - 167. Factor f(m).
2*(m - 2)*(m + 2)**2*(m + 5)
Let z(p) be the first derivative of -1/27*p**4 - 1/90*p**5 + 4 + 0*p**3 + 5*p + 1/45*p**6 + 0*p**2. Let m(l) be the first derivative of z(l). Factor m(u).
2*u**2*(u - 1)*(3*u + 2)/9
Let v be ((0 - 2)*1)/((-18)/10386). Factor -1152*m**2 + 0 + 8 - 8*m + v*m**2.
2*(m - 2)**2
Suppose 92*z**2 - 9*z**4 + 9*z + 4*z**4 + 6*z + 5*z**3 - 450 + 23*z**2 = 0. What is z?
-3, 2, 5
Suppose 5*z + 35 = d + 3*d, 2*d - z = 13. Let x(u) be the first derivative of 1/25*u**d - 5 + 1/5*u**3 - 1/10*u**2 + 0*u - 3/20*u**4. Factor x(t).
t*(t - 1)**3/5
Let m(j) be the third derivative of -j**6/540 - 17*j**5/270 - 20*j**4/27 - 64*j**3/27 - 28*j**2. Find v, given that m(v) = 0.
-8, -1
Find u such that 322*u**2 + 15 - 362*u**2 - 3*u**3 + 4*u + 25 - u**3 = 0.
-10, -1, 1
Let c(m) be the first derivative of -m**3/12 - m**2/8 + m/2 + 51. Factor c(j).
-(j - 1)*(j + 2)/4
Let w be (12/(-15))/((-64)/30 - -2). Suppose -11*a + 50 - w = 0. Let 0*r - 2/3*r**3 - 2/3*r**a + 0 + 2/3*r**2 + 2/3*r**5 = 0. What is r?
-1, 0, 1
Let p = -7847/8760 - -66/73. Let a(j) be the third derivative of -1/6*j**3 - 1/48*j**4 + 0 + p*j**5 - 4*j**2 + 0*j. Determine r so that a(r) = 0.
-1, 2
Suppose 320*y**5 + 12/5*y**2 - 236/5*y**3 + 0 + 9/5*y - 32*y**4 = 0. Calculate y.
-1/4, 0, 3/10
Let u = 41554 + -41550. Factor 34992/17*c**2 + 1062882/17*c**u + 32/17 - 314928/17*c**3 - 1728/17*c.
2*(27*c - 2)**4/17
Let d(v) be the third derivative of -v**6/120 - 19*v**5/30 - 425*v**4/24 - 578*v**3/3 + 48*v**2 + 3. Factor d(s).
-(s + 4)*(s + 17)**2
Let r be 4 - (5/(-2) - -6). Let d(u) be the second derivative of r*u**2 + 1/60*u**6 + 0 + 3/8*u**4 - 2*u - 1/8*u**5 - 7/12*u**3. Solve d(l) = 0.
1, 2
Let -644*p**3 - 2*p**2 + 643*p**3 + 22 - 10*p**2 - 5*p - 4*p = 0. Calculate p.
-11, -2, 1
Let h(o) = o**3. Let d(c) = -2*c**4 + 14*c**3 + 26*c**2 - 8*c - 24. Let r(k) = d(k) - 6*h(k). Let r(a) = 0. Calculate a.
-2, -1, 1, 6
Let g = -20/389 + -21484/5835. Let w = -10/3 - g. Factor 4/5 - 6/5*t + w*t**2.
2*(t - 2)*(t - 1)/5
Let t(o) = -o**2 + 6*o. Let y be t(0). Let l be -2*(-1 - (-3 - -3)). Solve -1/2*z**l + 1/2 + y*z = 0.
-1, 1
Let i(h) be the second derivative of h**5/230 + 11*h**4/69 - 47*h**3/69 + 24*h**2/23 - 193*h. Factor i(g).
2*(g - 1)**2*(g + 24)/23
Let x(n) be the first derivative of n**3/9 + 30*n**2 - 181*n/3 + 884. Factor x(q).
(q - 1)*(q + 181)/3
Suppose -q - 4*q = -20. Suppose -q*o - g + 105 = -782, -4*g + 884 = 4*o. Solve -6*u**3 + o + 36*u**2 + 3*u**3 - 30 - 144*u = 0 for u.
4
Let v(b) = 4*b**2 + 76*b. Let w(d) = d**2 - 2*d. Let c(h) = v(h) - 8*w(h). Factor c(x).
-4*x*(x - 23)
Let p(w) = w**2 + 11*w - 1. Let f be p(-11). Let o(v) = v**2. Let h(g) = 4*g**3 + 2*g**2 + 4*g. Let z(y) = f*h(y) - 6*o(y). What is i in z(i) = 0?
-1, 0
Let c(k) be the second derivative of 0 - 1/21*k**3 + 7/2*k**2 + 5*k + 1/210*k**5 + 0*k**4. Let t(d) be the first derivative of c(d). Factor t(x).
2*(x - 1)*(x + 1)/7
Let q be 1/((-1)/(-7) - (-2)/(-7)). Let r be ((-1)/q + (-4)/77)*2. Factor -2/11*i + 4/11*i**3 + 2/11*i**4 + r - 4/11*i**2 - 2/11*i**5.
-2*(i - 1)**3*(i + 1)**2/11
Let m(b) be the first derivative of -1/3*b**3 - 25*b + 6 - 5*b**2. Factor m(q).
-(q + 5)**2
Let b = -15/274 + 487/137. Solve -1 + b*s - 5/2*s**2 = 0 for s.
2/5, 1
Let p = -12019 + 12022. Find z, given that 0*z + 6/7*z**2 + 4/7*z**p - 2/7 = 0.
-1, 1/2
Factor 12*a**2 + 3*a**3 - 15*a**3 + 15*a**2 + 12*a**2 - 9*a.
-3*a*(a - 3)*(4*a - 1)
Let d(i) be the third derivative of 0*i + 2/15*i**3 + 21*i**2 + 1/100*i**5 - 1/120