/3*m**3 + 1/12*m**4 + 2/15*m**5 + 0. Factor g(n).
-2*(n - 1)**2*(3*n + 2)
Let h(w) be the third derivative of 1/120*w**6 - 1/20*w**5 + 0*w**3 + 0*w + 0*w**4 + 0 + 6*w**2. Find s such that h(s) = 0.
0, 3
Let -y + y**3 + 1/2*y**4 - 2*y**2 + 3/2 = 0. What is y?
-3, -1, 1
Let t(w) be the third derivative of -1/20*w**5 + 1/2*w**3 + 16*w**2 - 1/8*w**4 + 0 + 0*w + 1/40*w**6. What is f in t(f) = 0?
-1, 1
Let c(r) be the third derivative of r**8/112 + 3*r**7/70 + r**6/40 - 3*r**5/20 - r**4/4 + 49*r**2 - 3. Find l such that c(l) = 0.
-2, -1, 0, 1
Let -4200*d**2 - 25*d**3 + 126*d**3 + 165*d**3 - 352 - 70*d**3 - 2448*d = 0. Calculate d.
-2/7, 22
Let m = -26559/8 - -3320. Factor 0*x - 1/8 + m*x**2.
(x - 1)*(x + 1)/8
Let c(f) be the first derivative of -4*f**3/27 - 67*f**2/18 + 17*f/9 + 93. Factor c(q).
-(q + 17)*(4*q - 1)/9
Find p such that 14/9*p**4 - 8/9 + 32/9*p**3 - 2/3*p**2 - 32/9*p = 0.
-2, -1, -2/7, 1
Suppose 4*k - 83 + 20 = w, 0 = -2*k - 5*w + 37. Let f = k - 13. Determine i, given that 3*i**3 + f*i**2 + 5*i - 7*i + 2*i = 0.
-1, 0
Let b = 908 - 906. Let a(r) be the first derivative of 6 + 1/8*r**4 + 1/3*r**3 + 0*r + 0*r**b. Suppose a(x) = 0. What is x?
-2, 0
Let l(i) be the first derivative of -8*i**5/35 + 55*i**4/7 - 684*i**3/7 + 486*i**2 - 2916*i/7 - 214. Factor l(t).
-4*(t - 9)**3*(2*t - 1)/7
Solve -7/8*v**2 + 0 + 1/8*v**3 + 3/2*v = 0 for v.
0, 3, 4
Let m(c) be the third derivative of -43/12*c**5 - 10/3*c**3 - 5*c**4 - 5/4*c**6 - 14*c**2 + 0*c - 1/6*c**7 + 0. Suppose m(u) = 0. What is u?
-2, -1, -2/7
Let p(v) = 6*v**2 - 10*v - 20. Let o(u) = u**2 - 1. Let n be (3/2)/((-61)/(-16) - 4). Let a(s) = n*o(s) + p(s). Determine z so that a(z) = 0.
-3, -2
Let f(g) = g**2 - 17*g + 8. Let o be f(17). Factor 228*u - 117*u - 117*u + o + u**2.
(u - 4)*(u - 2)
Let j(k) = 269*k**2 - 24299*k + 728998. Let x(i) = i**3 - i**2 + i - 2. Let w(r) = -5*j(r) + 5*x(r). Factor w(t).
5*(t - 90)**3
Let y = -1073/4 - -547/2. Let -21/4*d**3 + 9/4*d**2 - 15/4*d**4 + 3/2 + y*d = 0. What is d?
-1, -2/5, 1
Let i(f) = -5*f + 60. Let j be i(12). Let y(p) be the first derivative of 2/45*p**5 + 1/6*p**4 + 1 + j*p + 0*p**2 + 4/27*p**3. Factor y(h).
2*h**2*(h + 1)*(h + 2)/9
Let n(v) be the second derivative of 0 + 1/24*v**4 + 1/120*v**5 + 7*v + 0*v**2 - 1/9*v**3. Find o, given that n(o) = 0.
-4, 0, 1
Let r(a) be the first derivative of -a**4/8 + 5*a**3/6 + 11*a**2/2 - 28*a + 243. What is h in r(h) = 0?
-4, 2, 7
Let f(q) be the first derivative of q**5/360 - q**4/18 + 4*q**3/9 - 27*q**2/2 + 28. Let x(j) be the second derivative of f(j). Factor x(z).
(z - 4)**2/6
Suppose -41*g = -36*g - 15. Factor -t**3 + 3*t**2 - 2*t**2 + 4*t**3 - 2*t**g.
t**2*(t + 1)
Let r(n) = -5*n**2 + n + 10. Let y(b) be the first derivative of b**2 + 10*b - 5/3*b**3 + 14. Let v(z) = 7*r(z) - 6*y(z). Suppose v(t) = 0. What is t?
-2, 1
Let l(i) be the third derivative of i**5/270 - i**4/36 + 2*i**3/27 + 196*i**2. Factor l(d).
2*(d - 2)*(d - 1)/9
Let o be 1*(-14)/(-10)*1 - (-1269)/2115. Factor 6*t**o + 51/2*t + 6.
3*(t + 4)*(4*t + 1)/2
Suppose 0*w + 0*w**3 + 0 + 0*w**2 + 2*w**4 - 2/5*w**5 = 0. Calculate w.
0, 5
Let t be (-7 + -2)*698/(-28269). Factor 2/9 - t*j - 4/9*j**2 + 2/9*j**4 + 4/9*j**3 - 2/9*j**5.
-2*(j - 1)**3*(j + 1)**2/9
Let d(q) be the third derivative of 0*q**3 + 2/105*q**7 + 0*q + 1/10*q**6 + 0*q**5 + 0*q**4 + 4*q**2 + 0. Determine k so that d(k) = 0.
-3, 0
Let h be (-5*2/8)/(8/(-32)). Suppose -4*b - 2*m + 13 + 5 = 0, 0 = -4*b + h*m - 17. Solve 16/7*d**b - 4/7*d**4 + 4/7 - 2/7*d**5 + 2*d + 4/7*d**3 = 0.
-1, 2
Let d(n) be the second derivative of -n**6/240 - 7*n**5/80 - 5*n**4/8 + 9*n**3/2 - 2*n. Let r(w) be the second derivative of d(w). What is m in r(m) = 0?
-5, -2
Let r be (-8 - -4)/(1/(-2)). Let u be -4 + 50/r - 2. Factor 0 + u*s**3 + 0*s + 1/2*s**2.
s**2*(s + 2)/4
Let l = 15 - 13. Let m be 7/l*(-32)/(-14). Factor -60*d - 48*d + 10*d**2 + 2*d**3 + 124*d + m.
2*(d + 1)*(d + 2)**2
Let p be (-3162)/(-3565) - 6/69. Factor -p*l**2 + 2/5*l**3 - 2/5*l + 4/5.
2*(l - 2)*(l - 1)*(l + 1)/5
Let u(o) = -2*o. Let l be u(-6). Suppose -f + l = 5*a, -5*f - a + 7 + 5 = 0. Let -3*z**4 - 3*z**4 - z**5 + z**3 - 8*z**f - 13*z**3 = 0. Calculate z.
-2, 0
Let x(d) = 11*d**2 - 24*d - 15. Let a(c) = 2*c**2 + 2. Let r(p) = -5*a(p) + x(p). Solve r(m) = 0.
-1, 25
Factor -b**3 + 16*b**3 + 59*b - 214*b - 18 + 0*b**3 - 22 - 100*b**2.
5*(b - 8)*(b + 1)*(3*b + 1)
Suppose -5 - 23*y**3 - 44 - 60*y**2 + 5*y**3 - 2*y**4 + 1 - 88*y = 0. What is y?
-3, -2
Let n = 705/2 + -352. Let t(b) be the second derivative of -b**4 + 3/10*b**5 + 1/7*b**7 + n*b**6 + 0 - b - 2*b**3 - 3/2*b**2. Determine u, given that t(u) = 0.
-1, -1/2, 1
Let x(q) be the second derivative of -q**4/6 - 31*q**3/3 - 84*q**2 + 590*q. Let x(n) = 0. Calculate n.
-28, -3
Suppose -3*i - 3*s = -16 + 1, 0 = s + 4. Let y = i - 7. What is w in -37 + 37 - w**y + 3*w**3 - 2*w**2 = 0?
0, 1
Let t(k) = -238*k + 479. Let n be t(2). Solve 5*c + 0 + 5*c**2 + 5/4*c**n = 0 for c.
-2, 0
Let z(s) be the second derivative of -s**8/7560 - s**7/1890 - s**6/1620 + 7*s**3/6 + 25*s. Let w(k) be the second derivative of z(k). Factor w(n).
-2*n**2*(n + 1)**2/9
Suppose -2*g = -k - 5, 101*g - 11 = -5*k + 102*g. Solve 8*w + 44/5*w**k + 8/5 + 2*w**4 + 66/5*w**2 = 0.
-2, -1, -2/5
Determine z so that 25*z + 5/3*z**2 - 80/3 = 0.
-16, 1
Let m(c) be the second derivative of c**6/90 - 5*c**5/12 + c + 91. Determine w, given that m(w) = 0.
0, 25
Let w(m) = -m**2 - m + 2. Let g = -10 + 10. Let h be w(g). Solve 8 - 7*v**3 - 7 + 5*v**h - 1 + 2*v = 0 for v.
-2/7, 0, 1
Let i(m) = -m + 17. Suppose 2*w = 15 + 11. Let c be i(w). Factor 2*d**2 - 2*d**c + 12*d - 12*d.
-2*d**2*(d - 1)*(d + 1)
Let c(t) be the second derivative of t**5/50 - 29*t**4/30 - 2*t**3 - 187*t. Factor c(x).
2*x*(x - 30)*(x + 1)/5
Let d(z) = 4*z**4 + 8*z**3 + 6*z**2 - 6*z + 6. Let o(n) = -11*n**4 - 24*n**3 - 17*n**2 + 17*n - 17. Let q(v) = -17*d(v) - 6*o(v). Factor q(p).
-2*p**3*(p - 4)
Let x(r) be the first derivative of -4*r**3/3 - 6*r**2 + 72*r + 202. Suppose x(h) = 0. Calculate h.
-6, 3
Let o(f) be the first derivative of f**3/3 + f**2/2 - 42*f + 178. Find z such that o(z) = 0.
-7, 6
Factor -80/3 + 44/3*n + 38/3*n**2 - 2/3*n**3.
-2*(n - 20)*(n - 1)*(n + 2)/3
Suppose -9017 = -27*n - 8963. Factor -2/15*z**4 + 0 + 0*z**3 + 2/5*z**n + 4/15*z.
-2*z*(z - 2)*(z + 1)**2/15
Let f(l) = l**2 - 4*l - 16. Let r be f(8). Find k, given that -4*k + r*k**3 - 3 + 9 - 12*k**2 - 6 = 0.
-1/4, 0, 1
Let p(w) be the third derivative of -5/6*w**4 + 0*w + 12*w**2 + 0 - 1/4*w**5 + 1/42*w**7 + 1/12*w**6 + 10/3*w**3. Factor p(g).
5*(g - 1)**2*(g + 2)**2
Let k(s) = -s**2 - 3*s. Let v be k(0). Let c(m) be the second derivative of 0*m**6 + 0*m**4 + v - 4*m + 1/105*m**7 - 1/50*m**5 + 0*m**2 + 0*m**3. Factor c(g).
2*g**3*(g - 1)*(g + 1)/5
Let z = -15 - -17. Let r be (1*-5)/((-7)/7). Let -b**z + 3*b**r - 3*b - 6*b**2 + b**2 + 0*b**2 + 6*b**4 = 0. Calculate b.
-1, 0, 1
Solve 12100/3 + 1/3*l**2 - 220/3*l = 0.
110
Let x(o) = -o**5 - 7*o**4 + 10*o**3 - 2*o**2 - 9*o + 9. Let i(d) = d**4 - d**3 + d - 1. Let f(p) = -36*i(p) - 4*x(p). Suppose f(j) = 0. Calculate j.
-1, 0, 1, 2
Let r(g) be the second derivative of -16*g + 0*g**3 + 1/45*g**6 + 1/9*g**4 + 0 - 1/10*g**5 + 0*g**2. Solve r(b) = 0 for b.
0, 1, 2
Let k(t) be the first derivative of -2*t**5/45 - 19*t**4/9 - 794*t**3/27 - 76*t**2 - 72*t + 177. Solve k(p) = 0.
-18, -1
Find q, given that 0*q**3 + 2/5*q**4 + 0 + 0*q - 2/5*q**2 = 0.
-1, 0, 1
Let -2/5*m**5 + 0 + 0*m + 4/5*m**4 + 0*m**2 + 6/5*m**3 = 0. What is m?
-1, 0, 3
Let q(u) be the first derivative of -u**3/8 + 57*u**2/16 - 45*u/2 - 262. Let q(j) = 0. Calculate j.
4, 15
Factor 0 - 4/15*o**2 + 16/15*o - 2/15*o**3.
-2*o*(o - 2)*(o + 4)/15
Let u(c) be the third derivative of c**6/30 + 2*c**5/15 - 29*c**4/6 - 20*c**3 + 42*c**2 - 5. Factor u(z).
4*(z - 5)*(z + 1)*(z + 6)
Determine m so that -8*m + 1/5*m**2 + 0 = 0.
0, 40
Suppose -43*x + 49*x + 12 = 0. Let t be ((2 - x) + -16)*1/(-15). Determine c so that 2/5*c**2 - 6/5 - t*c = 0.
-1, 3
Let d(y) = y**3 - y**2 - 1. Let o(c) = 7 - 14*c**2 - 1022*c + 8*c**3 + 1022*c. Let b(g) = -5*d(g) + o(g). Factor b(n).
3*(n - 2)**2*(n + 1)
Suppose -2/5*p**2 - 14/5*p + 16/5 = 0. What is p?
-8, 1
Let s(p) be the third derivative of p**6/24 - 3*p**5/4 + 2