k so that s(k) = 0.
-2, 0, 1
Suppose -19 = -5*v - 5*y + 16, 0 = -v + 5*y - 23. Suppose 3*q**2 + 6*q**2 - 3*q**v - q**2 = 0. Calculate q.
0
Let y(k) be the first derivative of -k**4/7 + 3*k**3/7 - k**2/7 + 132. Find p, given that y(p) = 0.
0, 1/4, 2
Suppose -59*z = -50*z - 18. Factor 2/3 + 2/9*u**z + 8/9*u.
2*(u + 1)*(u + 3)/9
Suppose 717 = 10*m - 213. Solve 46*r**2 + 51 - 23*r**2 + 48*r - 19*r**2 + m = 0 for r.
-6
Suppose 4*g - o = -14, 2*g = -0*o + o - 8. Let y be (g/(-10))/(18*(-3)/(-45)). Factor -3/4 - y*n**2 - n.
-(n + 1)*(n + 3)/4
Let w(r) be the first derivative of -2*r**3/9 + 11*r**2/3 + 8*r + 17. Factor w(m).
-2*(m - 12)*(m + 1)/3
Let j(y) be the second derivative of -5*y**8/336 + y**6/8 - y**5/6 + 35*y**2/2 + 19*y. Let g(s) be the first derivative of j(s). Let g(i) = 0. What is i?
-2, 0, 1
Let g(f) be the third derivative of f**5/20 - 3*f**4/8 - f**3/2 - 7*f**2. Let v(m) = 3*m**2 - 8*m - 2. Let x(b) = -2*g(b) + 3*v(b). Let x(a) = 0. What is a?
0, 2
Determine u, given that 45/4*u - 75/4*u**2 - 5/4*u**4 + 0 + 35/4*u**3 = 0.
0, 1, 3
Suppose -18*l = -28 - 26. Let g(v) be the third derivative of -7*v**2 + 0*v - 1/2*v**l + 0 + 0*v**4 + 1/20*v**5. Find u such that g(u) = 0.
-1, 1
Let k(v) be the second derivative of -v**5/70 + 31*v**4/42 + 3*v - 8. Factor k(n).
-2*n**2*(n - 31)/7
Find p such that -2/7*p**2 + 46/7 - 44/7*p = 0.
-23, 1
Find q such that 0 + 6/7*q**2 - 2/7*q**5 + 4/7*q - 2/7*q**3 - 6/7*q**4 = 0.
-2, -1, 0, 1
Let d(u) = 3*u + 2. Let b be d(2). Let m(k) = k + 5. Let l be m(b). Factor -1 - 4*g**2 + 8*g + l + 0*g**2.
-4*(g - 3)*(g + 1)
Let u = 298/33 - 92/11. Let z = -1/4 + 7/12. Suppose -u*s - 1/3*s**2 - z = 0. What is s?
-1
Let i(f) be the first derivative of 3*f + 21/8*f**2 - 3/16*f**4 - 4 + 1/2*f**3. Solve i(h) = 0.
-1, 4
Suppose 17*m = 76 + 3052. Let b = m - 181. Suppose 8/5*j**b - 8/5*j - 2/5*j**2 + 2/5 = 0. What is j?
-1, 1/4, 1
Let h(x) = 6*x**2 - 287*x - 46. Let a be h(48). Find c, given that 6*c - 21/2*c**4 + 0 - 3*c**5 + 12*c**a - 9/2*c**3 = 0.
-2, -1/2, 0, 1
Let n(k) be the first derivative of 1/22*k**4 + 4/11*k - 19 + 5/11*k**2 + 8/33*k**3. Factor n(c).
2*(c + 1)**2*(c + 2)/11
Let i(g) be the second derivative of -g**5/160 - g**4/16 + 3*g - 11. Suppose i(w) = 0. Calculate w.
-6, 0
Let o(t) = -t**3 + 5*t**2 - t + 8. Let u = -18 - -23. Let w be o(u). Determine b, given that -2*b - 2/7 - 4*b**2 - 16/7*b**w = 0.
-1, -1/2, -1/4
Let y be 12 + (7 - 13) + (-64)/12. Solve -6 + 4*w - y*w**2 = 0 for w.
3
Factor 24510 - 4*n**2 - 12159 - 12231 - 116*n.
-4*(n - 1)*(n + 30)
Let h(g) be the third derivative of g**8/112 - g**6/10 - g**5/10 + 3*g**4/8 + g**3 + 2*g**2 - 6. What is a in h(a) = 0?
-1, 1, 2
Let y = -91 + 94. Let d be (2/y)/(-7 + 215/30). Let -2/3*q**3 + 0 + 0*q**2 + 2/3*q**d + 0*q = 0. Calculate q.
0, 1
Let s(u) = 5*u**2 - 32*u - 15. Let j(c) = c - 1. Let d(b) = 2*j(b) - 2*s(b). What is l in d(l) = 0?
-2/5, 7
Let b(m) be the first derivative of -m**5/30 - m**4/4 + m**3/6 + 4*m**2/3 - 2*m - 78. Factor b(p).
-(p - 1)**2*(p + 2)*(p + 6)/6
Let x(f) be the first derivative of -f**6/30 - 3*f**5/25 - f**4/10 - 39. Factor x(z).
-z**3*(z + 1)*(z + 2)/5
Let x(l) be the first derivative of l**4/4 - 8*l**3/3 + 21*l**2/2 - 18*l - 6. Factor x(z).
(z - 3)**2*(z - 2)
Factor 324*w**2 - 64*w + 388*w**2 - 646*w**2 - 2*w**3.
-2*w*(w - 32)*(w - 1)
Let g(v) be the third derivative of 0*v**3 - 1/150*v**5 + 0*v + 11/60*v**4 + 23*v**2 - 2. Solve g(b) = 0 for b.
0, 11
Let b be (-12)/8*-6 - 3. Suppose -b*q + q + 10 = 0. Factor q*z**4 - 4*z**3 - 15*z**5 - 1 + 3 + 17*z**5 - 4*z**2 + 2*z.
2*(z - 1)**2*(z + 1)**3
Let -20*x**3 - 84*x + 0*x**5 + 100*x + 4*x**5 + 20*x**2 - 16 - 4*x**4 + 0*x**4 = 0. What is x?
-2, -1, 1, 2
Let d(h) be the first derivative of 5*h**4/2 - 36*h**3 + 85*h**2 - 72*h + 312. Factor d(l).
2*(l - 9)*(l - 1)*(5*l - 4)
Let d(t) be the first derivative of t**6/27 + 2*t**5/45 - t**4/18 - 2*t**3/27 - 35. Determine n, given that d(n) = 0.
-1, 0, 1
Let t(j) = -2*j - 12*j**2 + 4*j + j**3 + 9*j. Let d be t(11). Factor -3*b**2 + b**2 - 16 - 2*b**2 + d*b**2 + 16*b.
-4*(b - 2)**2
Find v such that -6/5*v**3 + 2*v**2 + 6/5*v - 8/5 - 2/5*v**4 = 0.
-4, -1, 1
Let n(c) be the first derivative of -c**6/39 + 2*c**5/65 - 117. Find w such that n(w) = 0.
0, 1
Let p(d) be the first derivative of -2/45*d**3 - 8/15*d - 4/15*d**2 - 1. Let p(f) = 0. What is f?
-2
Let q be 1*(1/7 + (-380)/(-133)). Let o(t) be the first derivative of -3/4*t**2 + 1/2*t**q + 1/2*t - 1/8*t**4 - 11. Suppose o(n) = 0. Calculate n.
1
Determine v so that 20*v**3 - 205*v - 2*v**3 - 3*v**3 - 4*v**3 + 105 - 6*v**3 + 95*v**2 = 0.
-21, 1
Let a(j) = -2*j**3 + 7*j**2 + 71*j + 11. Let d be a(8). Factor 3/2*g**d + 0 + 21/2*g**2 + 9*g.
3*g*(g + 1)*(g + 6)/2
Let c be 44/(-3) - 8/6. Let t be (-18 - c)/((-2)/3). What is r in -3/5*r**4 + 3/5*r**5 + 0*r + 0*r**t + 0 + 0*r**2 = 0?
0, 1
Let v = 1/2850 + 569/2850. Let -2/5*f - v*f**2 + 3/5 = 0. Calculate f.
-3, 1
Let a(b) = -4*b - 20. Let o be a(-6). Suppose 32 - 20 = o*q. Factor 0*s**2 - s - 1/2*s**4 + s**q + 1/2.
-(s - 1)**3*(s + 1)/2
Let f(r) = -9*r**3 - 136*r**2 - 311*r - 129. Let a(z) = 2*z**3 + 33*z**2 + 78*z + 32. Let t(w) = -11*a(w) - 3*f(w). Find b such that t(b) = 0.
-7, -1
Let r be (1 - -3)*(-289)/(-68). Suppose 4*x = 3*w + r, 3*x - 12 = w + w. Factor -8/3*l**3 - 24*l + 12*l**x + 18 + 2/9*l**4.
2*(l - 3)**4/9
Let 171/2*x + 3/8*x**2 + 9747/2 = 0. What is x?
-114
Let q(z) = z - 1. Let f(d) = -15*d**2 - d**4 - 18*d + 7*d**3 + 6 + 22*d - 1. Let g(l) = f(l) + 5*q(l). Suppose g(b) = 0. Calculate b.
0, 1, 3
Solve 12*x + 4*x**3 - 50/3*x**2 + 2/3*x**4 + 0 = 0 for x.
-9, 0, 1, 2
Let b(o) = 9*o**3 - 13*o**2 + 7*o - 9. Let y(c) = -10*c**3 + 13*c**2 - 6*c + 10. Let f(t) = 7*b(t) + 6*y(t). Factor f(h).
(h - 3)*(h - 1)*(3*h - 1)
Let n(p) be the second derivative of 1/330*p**6 + 0*p**2 - 1/220*p**5 + 1/66*p**3 + 0 - 28*p - 1/132*p**4. Factor n(g).
g*(g - 1)**2*(g + 1)/11
Let z(a) = -8*a**3 + 63*a**2 - 507*a + 10. Let v(y) = 9*y**3 - 60*y**2 + 507*y - 12. Let n(r) = -5*v(r) - 6*z(r). Factor n(x).
3*x*(x - 13)**2
Let j be 4/18 - (-1 + (-22)/(-18)). Let s(h) be the second derivative of 1/9*h**3 + 1/3*h**2 + 1/72*h**4 + 5*h + j. Factor s(g).
(g + 2)**2/6
Let o(b) be the first derivative of b**6/3 - 38*b**5/15 - 41*b**4/6 + 2*b**3/3 + 38*b**2/3 + 32*b/3 + 164. Let o(r) = 0. What is r?
-1, -2/3, 1, 8
Find z such that 54/7*z + 2/7*z**3 + 486/7 - 30/7*z**2 = 0.
-3, 9
Let z(t) be the third derivative of t**9/60480 - t**7/3360 + t**6/1440 - 5*t**4/8 + 17*t**2. Let q(d) be the second derivative of z(d). Let q(x) = 0. What is x?
-2, 0, 1
Suppose 0 = -5*m + 15, 4*r - m = -2 - 1. Suppose -x + 3 = -r. Factor -2*n**x - 3*n**2 - n**3 - 6*n**3.
-3*n**2*(3*n + 1)
Factor -4*c**5 + 8*c**4 + 11676*c**2 - 2*c**4 + 16*c**3 - 8 - 11674*c**2 + 3*c**5 - 15*c.
-(c - 8)*(c - 1)*(c + 1)**3
Suppose 0 = 16*h + 92 - 124. Factor 2/7*i**h + 0*i**3 - 2/7*i**4 + 0*i + 0.
-2*i**2*(i - 1)*(i + 1)/7
Let t be (-300)/(-423) - 48/1128. Factor -t - 7/6*b - 1/3*b**2 + 1/6*b**3.
(b - 4)*(b + 1)**2/6
Let r = -11729/252 - -326/7. Let d(p) be the second derivative of -r*p**3 + 0*p**2 - 1/36*p**4 - 7*p - 1/120*p**5 + 0. Factor d(k).
-k*(k + 1)**2/6
Let k(w) = -29*w - 56. Let i be k(-2). Let x(p) be the third derivative of 1/60*p**6 + 0*p**4 + 1/30*p**5 + 0*p**3 + p**i + 0*p + 0. Factor x(y).
2*y**2*(y + 1)
Suppose 8*w - 9*w - j + 5 = 0, -w + 5*j - 25 = 0. Factor w*h**2 - 1/2*h**3 + 1/2*h**5 + 0*h**4 + 0*h + 0.
h**3*(h - 1)*(h + 1)/2
Factor -12 + 9*t - 3/2*t**2.
-3*(t - 4)*(t - 2)/2
Let o(x) be the third derivative of 0*x + 0 - 9*x**2 + 1/160*x**5 + 1/32*x**4 + 1/16*x**3. Factor o(v).
3*(v + 1)**2/8
Let s(j) = j + 1. Let r be s(7). Find v such that -4*v**5 - 32*v**3 - 4*v**3 + 10*v**2 + 22*v**2 - r*v - 4*v**2 + 20*v**4 = 0.
0, 1, 2
Let a(q) be the third derivative of 21*q**2 + 0 - 1/7*q**3 + 1/140*q**5 + 1/490*q**7 + 0*q + 3/56*q**4 - 3/280*q**6. Factor a(j).
3*(j - 2)*(j - 1)**2*(j + 1)/7
Let s(d) = d**3 + 9*d**2 + 8*d + 2. Let k be s(-8). What is p in 0*p**3 - 6*p**3 - 4*p**k - 31*p - 12 + 2*p**3 + 51*p = 0?
-3, 1
Let g = -7926 - -7926. What is o in -2/9*o**3 + 2/9*o**4 + 0*o**2 + g + 0*o = 0?
0, 1
Factor 1/5*l**2 - 16/5 + 6/5*l.
(l - 2)*(l + 8)/5
Let x(r) be the first derivative of -2/7*r**2 + 2/7*r**4 