+ 10. Let l be o(-3). Suppose -3*b = 3*j + 5 + l, -4*j - 17 = 5*b. Suppose 4/5 - 2/5*f**j + 2/5*f = 0. What is f?
-1, 2
Let z(h) be the third derivative of -1/24*h**6 - 31*h**2 - 25/24*h**4 + 0*h + 0*h**3 + 0 - 1/2*h**5. What is o in z(o) = 0?
-5, -1, 0
Let s(w) be the first derivative of -2*w**3/3 - 18*w**2 + 80*w - 298. Factor s(n).
-2*(n - 2)*(n + 20)
Factor -42*w**2 - 192 + 186*w - 3/2*w**3.
-3*(w - 2)**2*(w + 32)/2
Let -2*s**2 + 0 - 8/3*s + 2/3*s**3 = 0. What is s?
-1, 0, 4
Let a(q) = 6*q**4 + 25*q**3 + 28*q**2 - 30*q - 19. Let v(u) = 9*u**4 + 38*u**3 + 41*u**2 - 45*u - 29. Let k(i) = -7*a(i) + 5*v(i). Factor k(n).
3*(n - 1)*(n + 1)**2*(n + 4)
Let w be 0 - ((81/(-234) - 2/13) + 0). Factor 4*i**2 - w*i - 1 - 5/2*i**3.
-(i - 1)**2*(5*i + 2)/2
Let j(s) = -4*s**2 + 29*s - 40. Let u(a) = -a**2 + 6*a - 8. Let m(x) = 2*j(x) - 11*u(x). Let n be m(1). Factor -2/3 + 5/6*l**2 + 2/3*l - 1/2*l**n.
-(l - 2)*(l + 1)*(3*l - 2)/6
Let v(h) be the second derivative of -h**4/24 + 7*h**3/12 - 5*h**2/2 - 104*h. Factor v(t).
-(t - 5)*(t - 2)/2
Let g be (-3128)/1071 + -1*(2 + 2). Let w = g + 70/9. What is v in -4/7*v**3 + 2/7 - w*v**4 + 4/7*v**2 - 2/7*v**5 + 6/7*v = 0?
-1, 1
Let n(y) be the second derivative of y**4/36 - 82*y**3/9 + 3362*y**2/3 + 2*y - 64. Factor n(w).
(w - 82)**2/3
Suppose -28*o = -30*o + 8. Factor 9*y + 5*y**2 + 5*y + o - 6*y - y**2.
4*(y + 1)**2
Let k(c) be the second derivative of 11*c + 0 - 4/3*c**2 - 1/9*c**4 + 2/3*c**3. Find o such that k(o) = 0.
1, 2
Factor 37*r + 25*r**2 - 13*r**2 - 14*r - 11*r**2.
r*(r + 23)
Suppose f - 5*u - 163 = -3*f, 0 = f + 5*u - 47. Let l = -19 + f. Find r such that -7*r**4 - 1 + l*r**3 - 1 - 3*r**2 + 13*r - 24*r**2 = 0.
2/7, 1
Let t = 827/2 + -1240/3. Let v(z) be the second derivative of -12*z - 1/12*z**4 + 0 + 0*z**2 + t*z**3. Factor v(l).
-l*(l - 1)
Let p(x) = -x - 7. Let y = 12 + -23. Let h be p(y). Factor -4/3*w**2 + 0 - 1/3*w**5 - 1/3*w - 4/3*w**h - 2*w**3.
-w*(w + 1)**4/3
Let k(u) be the third derivative of -11*u**5/240 + u**4/48 - 14*u**2 - 1. Factor k(x).
-x*(11*x - 2)/4
Let a(m) be the first derivative of m**7/70 + 7*m**6/90 - m**5/5 + 7*m**3 + 18. Let l(k) be the third derivative of a(k). Factor l(r).
4*r*(r + 3)*(3*r - 2)
Let u(x) be the second derivative of x**3/6 - x**2/2 + 18*x. Let h be u(1). Solve 6/11*c + h + 2/11*c**2 = 0 for c.
-3, 0
Factor 64/3*g - 1/3*g**2 - 1024/3.
-(g - 32)**2/3
Suppose -5*a - 4 = h - a, -5*h - 5*a = -25. Suppose -3*w = -7*w + h. Find g such that 4 - 3*g**3 - 6*g**w + 4 - 3*g - 8 = 0.
-1, 0
Let m be -9*(-10)/(-15) - -9. Let f(t) be the first derivative of -6 - t**m + 3/2*t**2 + 6*t. Suppose f(o) = 0. Calculate o.
-1, 2
Let p(r) be the third derivative of r**5/105 - r**4/7 + 16*r**3/21 + 3*r**2 + 3*r. Factor p(w).
4*(w - 4)*(w - 2)/7
Let b(l) be the third derivative of l**6/660 + 4*l**5/55 + 23*l**4/132 + 40*l**2. Suppose b(u) = 0. What is u?
-23, -1, 0
Let v be ((-12)/(-10))/(4/10). Find u, given that 4*u**2 + 4 - 3*u**2 + 6*u - 2*u**v - u**2 = 0.
-1, 2
Let n = -2430/119 - -352/17. Let l be 0/((-2)/(2/(-1))). Solve 6/7*w**2 + l + 4/7*w + n*w**3 = 0.
-2, -1, 0
Let t be (56/84)/((-14)/(-6)). Determine a, given that -t*a**3 - 6/7*a**2 - 4/7*a + 0 = 0.
-2, -1, 0
Let f(v) = -27*v - 4. Let m(w) = -13*w - 2. Let t(p) = 6*f(p) - 11*m(p). Let b be t(-2). Solve -k**2 + b*k**3 - k**2 + 9*k**5 - 6*k**2 + 7*k**5 - 48*k**4 = 0.
0, 1/2, 2
Let m(p) be the second derivative of 0*p**2 + 1/10*p**5 - 1/3*p**3 + 0 + 15*p + 0*p**4. Let m(u) = 0. Calculate u.
-1, 0, 1
Let z(s) = 30*s**2 + 13*s + 9. Let m(j) = -22*j**2 - 14*j - 9. Let w(a) = 4*m(a) + 3*z(a). Find c such that w(c) = 0.
-1/2, 9
Let f(i) be the second derivative of -i**4/16 + i**3/8 + 25*i - 2. Factor f(b).
-3*b*(b - 1)/4
Let d(s) = -2*s**4 + 4*s**3 - 42*s**2 - 4*s. Let k(c) be the first derivative of -2*c**3/3 + 13. Let q(n) = 2*d(n) - 44*k(n). Factor q(t).
-4*t*(t - 2)*(t - 1)*(t + 1)
Let w be -9*(-5)/140*(16/6 - 0). Factor w - 10/7*t**3 - 22/7*t + 26/7*t**2.
-2*(t - 1)**2*(5*t - 3)/7
Let u(g) = 3*g**2 - 23*g - 86. Let j(q) = 12*q**2 - 93*q - 342. Let b(d) = -2*j(d) + 9*u(d). Factor b(f).
3*(f - 10)*(f + 3)
Let a be 1/(-4) - 17/(-4). Suppose a*d = 3 + 5. Suppose -2 - 7*v + 2*v + v - 2*v**d = 0. What is v?
-1
Let i(n) = -44*n**2 + 705*n - 14. Let v be i(16). Factor 9/4 - 3/2*r**v - 3/4*r.
-3*(r - 1)*(2*r + 3)/4
Let p(q) be the second derivative of q**4/102 + 28*q**3/17 + 1764*q**2/17 + 185*q. Factor p(x).
2*(x + 42)**2/17
Let l(j) be the second derivative of -1/9*j**4 + 16*j - 4*j**2 - 10/9*j**3 + 0. Factor l(v).
-4*(v + 2)*(v + 3)/3
Let h(a) be the first derivative of 6/5*a + 16 - 1/5*a**3 + 3/10*a**2. Factor h(y).
-3*(y - 2)*(y + 1)/5
Suppose -m + 6 = 1. Find f such that 0*f**4 - 8*f**4 - 16*f**m - f**2 + 3*f**3 + 4*f**3 = 0.
-1, 0, 1/4
Let w be 651/434*2/6. Factor t**3 + 0 - t + 1/2*t**2 - w*t**4.
-t*(t - 2)*(t - 1)*(t + 1)/2
Let i(r) = -16*r + 3 + 12*r**2 + 2*r**3 + 12 + 4*r - 3*r**3. Let s be i(11). Solve s*c**3 + 10*c + 10*c**2 - 5*c**2 - 2*c**3 + 3*c**2 + 4 = 0 for c.
-2, -1
Let n(k) be the first derivative of -3*k**3/5 + 69*k**2/10 + 24*k/5 - 97. Factor n(f).
-3*(f - 8)*(3*f + 1)/5
Let c(l) be the second derivative of l**9/12096 - l**7/3360 - 15*l**3/2 - 5*l. Let r(w) be the second derivative of c(w). Factor r(y).
y**3*(y - 1)*(y + 1)/4
Let c be -4 - (1 + -229 + -1). Suppose 9049 + c*z**2 - 1560 - 5*z**3 + 9386 - 3375*z = 0. What is z?
15
Suppose 6*g - 2*g + 20 = 0. Let w(q) = 10*q**2 + 13*q - 7. Let l(a) = 7*a**2 - 14 + 9*a + 24 - 15. Let m(y) = g*w(y) + 7*l(y). Factor m(u).
-u*(u + 2)
Let a be -5 - -1 - 64/(-8). Let q(h) be the first derivative of 1/5*h**5 + 1/3*h**3 + 1/12*h**2 + 11/24*h**a + 5 + 0*h. What is p in q(p) = 0?
-1, -1/2, -1/3, 0
Let p be 0 - 75/(-3) - -3. Let w(a) = a**2 + 9*a + 6. Let b be w(-11). Solve -p*g + b*g - 3*g**2 = 0.
0
Suppose -i + 4*d = 0, 3*i + 11 = -i + 5*d. Let f be (-2)/4*0 - i. Find p such that -3*p**3 - 3*p - 3/4 - 3/4*p**f - 9/2*p**2 = 0.
-1
Let c be -1 + 1417/2 + 5. Let s = c - 665. Factor -s*u**4 - 16*u - 97/2*u**2 - 139/2*u**3 - 2 - 25/2*u**5.
-(u + 1)**3*(5*u + 2)**2/2
Let v be 2*2/(-24) - (-18)/108. Let m(g) be the third derivative of 0*g - 1/4*g**4 + 5/2*g**3 + 1/100*g**5 + v + 13*g**2. Factor m(x).
3*(x - 5)**2/5
Suppose 0 = -5*r - 4*d + 9, 8 = -r + 5*r + 3*d. Factor -r*w**3 - 40*w - 55*w**2 + 9*w - 89*w + 180.
-5*(w - 1)*(w + 6)**2
Let g(u) = 14*u**3 - 22*u**2 - 42*u + 28. Let b(o) = 2*o**3 - 3*o**2 - 6*o + 4. Let q be ((-6)/(-2) - 4) + 45. Let d(h) = q*b(h) - 6*g(h). Factor d(a).
4*(a - 1)**2*(a + 2)
Let z(l) be the third derivative of -l**5/300 + 9*l**4/20 - l**2 + 25. Let z(y) = 0. Calculate y.
0, 54
Let k be 10/5*-3 + (-218)/(-36). Let f(s) be the first derivative of -k*s**4 - 4/9*s**2 - 8 - 8/27*s**3 + 0*s. What is v in f(v) = 0?
-2, 0
Suppose 16*k**4 - 428*k**2 + 10*k**3 + 5*k**3 + 356*k**2 - 4*k**5 - 3*k**3 = 0. What is k?
-2, 0, 3
Let s(m) be the second derivative of 3/2*m**3 + 7/20*m**5 + 0 - 12*m + 1/30*m**6 + 5/4*m**4 + 0*m**2. Determine i, given that s(i) = 0.
-3, -1, 0
Let k(z) = 2*z**4 + 8*z**3 + 4*z**2 - 12*z - 6. Let x(y) = -2*y**4 - 8*y**3 - 4*y**2 + 11*y + 6. Let g(d) = 3*k(d) + 4*x(d). What is t in g(t) = 0?
-3, -1, 1
Suppose 4*p - 5*g = -2*g + 5, -5*p + 11 = g. Solve -28*q - 27 - 8*q - 9*q + 3*q**2 - 24*q**p - 3*q**3 = 0 for q.
-3, -1
Let x = 10754 - 32257/3. Find q, given that 0 + 5/3*q**2 - x*q = 0.
0, 1
Let p = -45307 + 45307. Suppose p - 2/7*k**2 + 12/7*k = 0. Calculate k.
0, 6
Suppose -110 = -40*j + 10. Let f(m) be the first derivative of 1/5*m**2 - 4 + 0*m - 2/15*m**j. Determine u, given that f(u) = 0.
0, 1
Let v(h) = h**2 - 12*h - 24. Let k(w) = -w**2 - 14*w - 10. Let p be k(-12). Let r be v(p). Suppose 0 + 0*x + 0*x**2 + x**3 + 1/3*x**r = 0. Calculate x.
-3, 0
Let c(s) = -s**2 + 4*s + 3. Let u(v) = v**2 - v - 1. Suppose -7*y - 12 = -3*y. Let r(x) = y*c(x) - 6*u(x). Factor r(g).
-3*(g + 1)**2
Let k(n) be the third derivative of -n**5/60 - 5*n**4/8 + n**3/3 - 3*n**2. Let p be k(-15). Solve -3*r**4 + 6*r + 5*r**2 + r**2 - p*r + r**4 = 0 for r.
-1, 0, 2
Let m(t) = -t**2 + 19*t + 7. Let i be m(18). Let k(r) = 5*r**2 + 7*r - 2. Let j(v) = -60*v**2 - 85*v + 25. Let l(c) = i*k(c) + 2*j(c). What is h in l(h) = 0?
-1, 0
Factor 1/2*y**5 + 0*y**4 - 3/2*y**3 + 