rivative of 0*l**4 - 48*l**3 + 64*l**2 + 54/5*l**5 + 5 - 32*l. Find c, given that m(c) = 0.
-2, 2/3
Let g(w) be the third derivative of 0 + 1/70*w**5 - 4/21*w**3 + 0*w + 0*w**4 + 3*w**2 - 1/420*w**6. Let g(y) = 0. What is y?
-1, 2
Let a = 19 + -10. Let b(u) = u**2 - 7*u - 15. Let r be b(a). Suppose 8/9 - 2/3*m**2 + 2/9*m**4 + 4/9*m**r - 8/9*m = 0. Calculate m.
-2, 1
Let n(t) be the first derivative of -t**6/40 + t**5/5 - 5*t**4/8 + t**3 + 3*t**2 - 8. Let a(k) be the second derivative of n(k). Factor a(j).
-3*(j - 2)*(j - 1)**2
Let g(u) = -u**2 - 4*u + 1. Let i be g(-3). Factor 19*o**i - 30*o**4 - 10*o**2 - 10*o**2 + 16*o**4.
5*o**2*(o - 2)*(o + 2)
Suppose 5 = 3*r + 2. Let n be -1*5/(0 - r). Solve -8/5*j**4 - 12/5*j**3 - 8/5*j**2 - 2/5*j - 2/5*j**n + 0 = 0.
-1, 0
Let u(r) = -r**2 - 3*r - 6. Let a(i) = 3*i**2 + 8*i + 17. Let j(o) = 6*a(o) + 17*u(o). Solve j(x) = 0 for x.
0, 3
Suppose 0 = -9*z - 12*z - 3*z. Let o(a) be the first derivative of 1/20*a**4 + 0*a + 8 + z*a**2 + 1/30*a**6 - 2/25*a**5 + 0*a**3. Let o(l) = 0. What is l?
0, 1
Let y(v) be the first derivative of -1 - 2/3*v**4 + 16/3*v**2 - 16/3*v - 4/3*v**3 + 4/15*v**5. Factor y(o).
4*(o - 2)*(o - 1)**2*(o + 2)/3
Let y = 119/1860 + 3/155. Let t(l) be the second derivative of -1/20*l**5 - 1/2*l**2 - 2*l + 1/6*l**3 + y*l**4 + 0. What is j in t(j) = 0?
-1, 1
Factor 0 + 3/4*t**5 - 9*t**3 + 3/2*t**4 + 21/2*t**2 - 15/4*t.
3*t*(t - 1)**3*(t + 5)/4
Let b(s) be the third derivative of -s**6/40 + s**5/5 - s**4/2 - 2*s**2 + 14. Find g, given that b(g) = 0.
0, 2
Factor -39*l**4 + 36*l**4 + 10 - 6*l**2 + 8*l**3 + 3 - 4 + 12*l - 20*l**3.
-3*(l - 1)*(l + 1)**2*(l + 3)
Factor 12*q**3 + 4*q**3 - 3 - 13 - 29*q**4 + 32*q**4 + 24*q**2.
(q + 2)**3*(3*q - 2)
Let b(t) be the first derivative of 7/8*t**2 - 21 - 3/4*t + 1/16*t**4 - 5/12*t**3. Determine x so that b(x) = 0.
1, 3
Let u(c) = c**4 - 30*c**3 + 292*c**2 - 189*c - 512. Let l(y) = 6*y**4 - 181*y**3 + 1750*y**2 - 1135*y - 3072. Let r(x) = 6*l(x) - 34*u(x). Factor r(d).
2*(d - 16)**2*(d - 2)*(d + 1)
Suppose -1/4*m**2 + 3/4 - 1/2*m = 0. What is m?
-3, 1
Let p be (-1 - 3)/8 + 7/6. Let k = -1111 + 1111. Factor -2/3*q**2 + p + k*q.
-2*(q - 1)*(q + 1)/3
Let g(c) be the third derivative of -1/1080*c**6 + 0*c**3 + 0 + 3*c**2 - 1/1890*c**7 + 1/270*c**5 + 0*c**4 + 0*c. Find o such that g(o) = 0.
-2, 0, 1
Let a(x) be the third derivative of x**9/28728 + x**8/5320 + x**7/3990 - x**3/6 - 6*x**2. Let m(d) be the first derivative of a(d). Factor m(y).
2*y**3*(y + 1)*(y + 2)/19
Let l(t) be the first derivative of -t**4/4 - t**3/9 + 125. Factor l(g).
-g**2*(3*g + 1)/3
Let g be 2*(-1)/((-8)/12). Suppose -g*h = 2*q - 0*q - 27, -2*q + 26 = 4*h. Factor 3*m**2 - 5*m**4 + 0*m**4 + m + 12*m**3 + 3*m**5 + q*m**4 + 3*m**2.
m*(m + 1)**3*(3*m + 1)
Let j be (-95)/(-20)*-2*-6. Let q = j - 57. Factor 0*o + q - 2/5*o**2 + 2/5*o**4 + 0*o**3.
2*o**2*(o - 1)*(o + 1)/5
Suppose 3*r = -4*n + 9, -n + 7 = 2*n + 2*r. Suppose 0 = c - 5*i + 5 + 5, -22 = -5*c + i. What is h in -3 - c - 6*h - 3*h**4 - 3*h**5 + n*h**2 + 9*h**3 + 8 = 0?
-2, -1, 0, 1
Let l(m) = -2*m**2 + 24*m - 24. Let i(p) = -p**2 + 12*p - 12. Let f(q) = -7*i(q) + 3*l(q). Let b be f(12). Factor -5 + 7*g**3 + 6*g**2 + b*g + 3 - 9*g + 6*g**2.
(g + 1)**2*(7*g - 2)
Let r(a) be the first derivative of a**5/25 + 17*a**4/20 + 91*a**3/15 + 147*a**2/10 + 20. Let r(l) = 0. What is l?
-7, -3, 0
Let x = -33 + 33. Suppose x = -5*p - 4*u + 2*u + 38, -12 = -4*p + 3*u. Suppose 2*l**2 - p*l**5 + 9*l**5 - 2*l**4 - 6*l**3 + 4*l - l**5 = 0. What is l?
-1, 0, 1, 2
Let y(i) be the first derivative of 37/18*i**3 + 0*i - 1/4*i**2 - 16/9*i**6 + 6 - 13/2*i**4 + 8*i**5. Factor y(a).
-a*(a - 3)*(4*a - 1)**3/6
Solve 36/5*w + 54/5 + 2/5*w**4 - 24/5*w**2 - 4/5*w**3 = 0.
-3, -1, 3
Determine q, given that 9*q**2 + 90 + 99 - 67 - 252*q + 27*q**3 - 3*q**2 + 94 + 3*q**4 = 0.
-6, 1, 2
Suppose -2*d + 9 = -3*d + 5*i, 4*d - i = 21. Let 4*r**2 + d + 4*r**3 - 4 - 2*r**3 + 2*r**2 + 6*r = 0. Calculate r.
-1
Let g(v) be the third derivative of v**5/240 - 11*v**4/12 + 242*v**3/3 + 6*v**2 + v. What is i in g(i) = 0?
44
Let z(q) be the first derivative of 1/12*q**3 - 5/8*q**2 + 0*q + 38. Find s such that z(s) = 0.
0, 5
Suppose 0*d + 5*u = d + 15, -2*u + 6 = -2*d. Let k(i) be the first derivative of d*i**4 + 0*i**2 + 0*i - 1/20*i**5 + 1/12*i**3 + 3. Factor k(w).
-w**2*(w - 1)*(w + 1)/4
Suppose -3*b - 2 - 4 = 0, -r + 6 = -2*b. Let j(x) be the third derivative of 0 + 0*x**3 - r*x**2 + 1/40*x**6 + 0*x**5 + 0*x**4 + 1/70*x**7 + 0*x. Factor j(u).
3*u**3*(u + 1)
Suppose 47*c - 30*c = 0. Let o(q) be the third derivative of 0 + c*q - 1/6*q**3 - 1/24*q**4 + 1/80*q**5 + 4*q**2. Determine b so that o(b) = 0.
-2/3, 2
Let d(g) be the second derivative of -g**5/60 + g**4/4 - 5*g**3/6 + 15*g**2/2 + 15*g. Let q(l) be the first derivative of d(l). Factor q(w).
-(w - 5)*(w - 1)
Determine q, given that 23*q**2 - 24*q + 24*q**3 - 26*q**2 + 25*q**4 - 22*q**4 = 0.
-8, -1, 0, 1
Let h(o) be the first derivative of 1/5*o**3 + 0*o - 56 + 1/20*o**4 + 0*o**2. Factor h(w).
w**2*(w + 3)/5
Let t(b) be the second derivative of -3*b**5/20 - 3*b**4/4 - b**3 + 852*b. Factor t(k).
-3*k*(k + 1)*(k + 2)
Let y(q) = 50*q**3 + 57*q**2 + 14*q - 9. Let i(w) = 100*w**3 + 112*w**2 + 29*w - 19. Let c(u) = -4*i(u) + 9*y(u). Factor c(g).
5*(g + 1)*(2*g + 1)*(5*g - 1)
Let q(n) = -5*n. Let m be q(3). Let g be (6/m)/(2/(-10)). Let 3 - 3*c**3 - 2*c**3 + 7*c**3 - 1 - 2*c - g*c**2 = 0. What is c?
-1, 1
Let v be (-150)/(-45) + (-4)/(-6). Let -v*p**3 + 14*p**2 - 8*p**3 + 6*p**3 - 4*p = 0. What is p?
0, 1/3, 2
Suppose 6 = 5*k - 9. Let s be 10*(-3)/(-6) - k. Factor s*i**2 - i**2 + 9*i - 8*i.
i*(i + 1)
Let h(s) = -14*s**2 + 76*s. Let y(u) = 16*u**2 - 79*u. Let o(w) = 7*h(w) + 6*y(w). Let o(j) = 0. What is j?
0, 29
Suppose 6*m - 2075 = -575. Let d = -1746/7 + m. Factor 4/7*f - 6/7*f**2 + d*f**3 - 1/7*f**4 - 1/7.
-(f - 1)**4/7
Factor 24 - 12*n**2 + 2*n**4 + 12*n**4 + 96*n**3 + 9*n**4 - 68*n - 7*n**4.
4*(n + 1)*(n + 6)*(2*n - 1)**2
Let b(j) = -j + 4. Let y be b(8). Let a be 3/y - (-11)/4. Factor -1/3*r**a + 0 + 1/3*r.
-r*(r - 1)/3
Factor -81*w + 158*w - 2 + 3*w**2 + 5 - 71*w.
3*(w + 1)**2
Let i(v) be the first derivative of -v**2 - 1/2*v**4 + 0*v + 1 - 4/3*v**3. What is g in i(g) = 0?
-1, 0
Let w(q) be the second derivative of -1/2*q**5 + 0*q**2 + 1/6*q**6 + 0*q**4 - 19*q + 0 + 0*q**3. Factor w(j).
5*j**3*(j - 2)
Let p be 2/4*(-1 + 331). Let v = p + -163. Find g such that 0 + 8/11*g**v + 0*g + 32/11*g**3 + 14/11*g**4 = 0.
-2, -2/7, 0
Factor -3/7*t**3 - 78/7*t + 27/7*t**2 + 72/7.
-3*(t - 4)*(t - 3)*(t - 2)/7
Let b(y) be the second derivative of 2/13*y**3 + 0 - 1/130*y**5 + 1/78*y**4 + 0*y**2 + 21*y. Find q such that b(q) = 0.
-2, 0, 3
Let i(u) be the second derivative of u**4/96 + 19*u**3/48 - 301*u. What is z in i(z) = 0?
-19, 0
Let m = -2 - 7. Let z(a) = -a**2 - 8*a + 11. Let x be z(m). Let x*k**5 + k**4 + 3*k**4 - 2*k**3 + 4*k**3 = 0. Calculate k.
-1, 0
Let w(k) be the second derivative of k**6/600 - k**5/20 + 5*k**4/8 - 25*k**3/6 + 4*k**2 - 4*k. Let i(b) be the first derivative of w(b). Factor i(t).
(t - 5)**3/5
Suppose 33*l**4 + 697*l + 741*l**2 + 346*l**3 - 18*l + 88 - 76*l**3 + 20 + 41*l = 0. What is l?
-3, -2, -2/11
Let q = 115 + -97. Factor -2 + q*k - k**2 - 41*k**2 - 12*k**4 + 0*k**4 + 38*k**3.
-2*(k - 1)**3*(6*k - 1)
Let p = 9 - 6. Suppose -p*q + 10 = -20. Determine s so that -23 + 5 + 8*s**2 + q + 23*s - 28*s**3 + 5*s = 0.
-1, 2/7, 1
Let f(q) be the first derivative of q**6/288 + q**5/60 + q**4/32 - 6*q**3 - 8. Let w(r) be the third derivative of f(r). Factor w(d).
(d + 1)*(5*d + 3)/4
Let s be (-160)/6 - 2/6. Let i = -24 - s. Factor 15*q**5 - 9*q**4 - 7*q**i + 0*q**4 + q**3 + 0*q**3.
3*q**3*(q - 1)*(5*q + 2)
Factor 3*y**4 + 0 - 48/5*y**3 + 0*y - 64/5*y**2 - 1/5*y**5.
-y**2*(y - 8)**2*(y + 1)/5
Let k(a) be the first derivative of -a**4/2 - 88*a**3 - 4485*a**2 - 16900*a + 23. Factor k(q).
-2*(q + 2)*(q + 65)**2
Let s(q) be the first derivative of -3*q**4/22 + 16*q**3/33 - 7*q**2/11 + 4*q/11 + 79. Factor s(v).
-2*(v - 1)**2*(3*v - 2)/11
Let q(a) be the second derivative of -a**4/66 + 310*a**3/33 - 24025*a**2/11 - 3*a + 21. Let q(w) = 0. Calculate w.
155
Let z(o) = -2*o**3 + o + 1. Let h(j) = -7*j**3 - 5*j**2 - 14*j + 26. Let y(w) = 