r**2 + 12*r + 12. Let z(y) = f*n(y) - 2*g(y). Factor z(a).
3*(a + 2)**2
Let b(v) = 4*v**2 - v - 1. Let s be b(-1). Suppose 3*i - h - 6 = 0, i - 2*h = 3*h - 12. Let 3*p**3 + p**i + 36*p**4 - 42*p**s = 0. Calculate p.
0, 2/3
Let d(k) be the first derivative of -k**5/15 - 8*k**4/3 - 10*k**3 - 44*k**2/3 - 29*k/3 - 550. Factor d(r).
-(r + 1)**3*(r + 29)/3
Suppose 2*c + 98 = 2*l, 0*l - 2*c = 3*l - 142. Let a = 48 - l. Factor -1/4*v**5 + 0*v**2 + 0 - 1/4*v**3 - 1/2*v**4 + a*v.
-v**3*(v + 1)**2/4
Let z be (32/(-44))/(70/(-55)). What is o in -2/7*o**4 + 0 + 8/7*o**3 + z*o - 10/7*o**2 = 0?
0, 1, 2
Let c(o) be the third derivative of 0*o + 10*o**2 + 0 + 7/120*o**4 + 0*o**3 - 1/300*o**5. Factor c(r).
-r*(r - 7)/5
Let o(c) be the first derivative of 3*c**4/16 + 3*c**3/2 + 15*c**2/8 - 9*c + 551. Let o(n) = 0. Calculate n.
-4, -3, 1
Let t(v) be the first derivative of 28*v**5/15 - 32*v**4 + 28*v**3 + 52*v**2/3 + 90. Suppose t(j) = 0. What is j?
-2/7, 0, 1, 13
Let k(a) be the second derivative of 0 + 1/240*a**5 + 1/48*a**4 + 1/24*a**3 + 14*a + 1/24*a**2. Suppose k(l) = 0. What is l?
-1
Suppose -11*t + 16*t = 20. Let d(f) = f**2 - 4*f. Let w be d(t). Factor w*a**3 + 0*a**3 + 6 - 9*a - a**4 + 9*a**3 - 3*a**2 - 2*a**4.
-3*(a - 2)*(a - 1)**2*(a + 1)
Factor 7/2*f**2 + 5/2*f**4 + 0 + f + 9/2*f**3 + 1/2*f**5.
f*(f + 1)**3*(f + 2)/2
Let s = 35/62 + -2/31. Let n = -1/17 - -19/34. Solve n*k**2 + s - k = 0 for k.
1
Let v be (-4)/((-480)/728) + -6. Let y(s) be the first derivative of 0*s + 1 - v*s**3 + 1/10*s**2. Factor y(m).
-m*(m - 1)/5
Let 9/4*u + 1/4*u**2 + 7/2 = 0. What is u?
-7, -2
Find d such that 6/7 - 16/7*d - 8/7*d**3 - 30/7*d**2 = 0.
-3, -1, 1/4
Let i(x) be the second derivative of -x**6/6 + 5*x**5 - 40*x**4 + 440*x**3/3 - 280*x**2 + 20*x + 3. Find m such that i(m) = 0.
2, 14
Find w such that -30*w + 0 + 3/2*w**2 = 0.
0, 20
Let x(a) = 2*a**2 - 23*a - 35. Let c be x(13). Let b(o) be the first derivative of 0*o + 1/6*o**c + 2/9*o**3 - 1/3*o**2 - 2/15*o**5 - 5. Factor b(p).
-2*p*(p - 1)**2*(p + 1)/3
Let c(s) be the second derivative of -5*s**7/42 + s**6 + 3*s**5/4 - 20*s**4/3 - 10*s**3 - 201*s. What is q in c(q) = 0?
-1, 0, 2, 6
Let c(s) be the third derivative of 0 - 1/3*s**3 + 0*s - 1/120*s**6 + 1/6*s**4 + 1/420*s**7 - 1/40*s**5 - 14*s**2. What is b in c(b) = 0?
-2, 1, 2
Let b(u) be the first derivative of u**4/4 + u**3/3 - 2*u**2 - 4*u - 11. Factor b(k).
(k - 2)*(k + 1)*(k + 2)
Let p(n) be the second derivative of 17*n + 3*n**2 - 1/2*n**4 + 3/20*n**5 - 1/2*n**3 + 0. Factor p(l).
3*(l - 2)*(l - 1)*(l + 1)
Let f(h) be the second derivative of h**6/10 - h**5/10 - 2*h**4/9 + h**3/3 - h**2/6 + 21*h. Solve f(x) = 0.
-1, 1/3, 1
Suppose 4*y = -4*w - 8, -4 = -4*w - 0*w + 2*y. Let z(q) be the second derivative of 1/10*q**3 + 1/20*q**4 - q + w*q**2 + 0. What is g in z(g) = 0?
-1, 0
Let t = 75 - 63. Factor 0*q**2 + 8*q + 4*q**2 + 16*q**3 - 8*q - t*q.
4*q*(q + 1)*(4*q - 3)
Suppose 4*h + 8 = 5*f + 30, -4 = -2*h - f. Let t = 3 + -5/2. Factor t - 2*b + h*b**2 - 2*b**3 + 1/2*b**4.
(b - 1)**4/2
Let w(h) be the first derivative of -h**7/140 + h**6/80 + 9*h**5/40 + 11*h**4/16 + h**3 + h**2/2 + 14. Let l(u) be the second derivative of w(u). Factor l(m).
-3*(m - 4)*(m + 1)**3/2
Let d = 53 + -58. Let k be (-1)/d + 299/455 + 0. Let -2/7*f**2 - k - 8/7*f = 0. What is f?
-3, -1
Let o = -514/7 + 1766/21. Let x = 0 + 3. Solve 20*c**x + 104/3*c**2 - o - 16*c = 0.
-2, -2/5, 2/3
Let k(z) be the third derivative of 0*z**3 - 14*z**2 + 0 + 1/150*z**5 + 0*z + 0*z**4 - 1/525*z**7 + 1/840*z**8 - 1/300*z**6. Solve k(w) = 0.
-1, 0, 1
Let f be -3 - (-935)/(-68)*4/(-18). Let r(y) be the first derivative of 0*y - 2/15*y**5 + 2/9*y**3 + 0*y**4 + 6 + 1/6*y**2 - f*y**6. Factor r(h).
-h*(h - 1)*(h + 1)**3/3
Let u(o) = -o**2 + 16*o + 2. Let m be u(16). Find s, given that -111*s - 4*s**4 + 5*s**3 + 12*s**m + 8 + 95*s + 3*s**3 - 24 = 0.
-1, 2
Let v(q) be the first derivative of 2/3*q - 2/45*q**5 - 19 + 28/27*q**3 - 1/3*q**4 + 1/27*q**6 - 11/9*q**2. Let v(y) = 0. What is y?
-3, 1
Let v(g) be the first derivative of 21*g**4/4 + 138*g**3 - 522*g**2 + 264*g + 385. Find l such that v(l) = 0.
-22, 2/7, 2
Let m(t) be the first derivative of 0*t**3 + 9/2*t**2 - 9 + 6*t - 3/4*t**4. Find n, given that m(n) = 0.
-1, 2
Factor 0 - 2/13*k**4 + 2/13*k**2 + 2/13*k - 2/13*k**3.
-2*k*(k - 1)*(k + 1)**2/13
Let o be (-3 + 15/5)*(0 + 1). Suppose 5/2*z + 10*z**3 + o + 5*z**4 + 25/3*z**2 + 5/6*z**5 = 0. Calculate z.
-3, -1, 0
Let s = -1594 - -38279/24. Let m(u) be the second derivative of s*u**3 + 5*u - 7/48*u**4 - 3/4*u**2 + 0. Factor m(g).
-(g - 3)*(7*g - 2)/4
Let i(t) be the second derivative of -t**6/315 + t**5/140 + t**4/84 - 5*t**3/6 + 8*t. Let o(s) be the second derivative of i(s). What is z in o(z) = 0?
-1/4, 1
Find a, given that 6/11*a**2 - 96/11 - 36/11*a = 0.
-2, 8
Let y(m) = -m + 1. Let p(o) = 3*o**4 + 23*o**3 + 26*o**2 - 25*o - 27. Let u(l) = -4*p(l) - 12*y(l). Suppose u(d) = 0. Calculate d.
-6, -2, -2/3, 1
Suppose l + 5*p = 18, -4*l = 5*p + 9 - 21. Let c be -1 + (-1 - l) - (-50 - -47). Determine z, given that c*z**4 + 1/3*z + z**3 - 5/3*z**2 + 0 = 0.
-1, 0, 1/3
Let v(o) = -6*o**2 - 1. Let c(x) = 2*x**2. Let i be 2 + 5 - 4/(-4). Let p = -10 + i. Let z(m) = p*v(m) - 7*c(m). Let z(k) = 0. What is k?
-1, 1
Let 22/7*k**3 - 16/7 - 76/7*k + 10*k**2 = 0. What is k?
-4, -2/11, 1
Suppose -5*j - 60 = -9*j. Factor -1254 + 1254 + 20*n + j*n**4 - 35*n**3.
5*n*(n - 2)*(n - 1)*(3*n + 2)
Let h(x) be the second derivative of -29*x**5/10 + 9*x**4/2 + 2*x**3/3 - 13*x - 2. Solve h(y) = 0.
-2/29, 0, 1
Let c = 94363/3 + -31453. Determine v, given that -c*v - 2 + 2/3*v**2 = 0.
-1, 3
Let j(s) = -8*s - 45. Let r be j(-6). Suppose -4 + 15*i**3 + 4*i + 2*i**2 + 11*i**2 + 14*i**r - 24*i**3 = 0. Calculate i.
-2, -1, 2/5
Factor -37*u**2 + 17*u**2 - 20*u + 24*u**2.
4*u*(u - 5)
Let y(k) = 2*k**5 - 2*k**4 + k - 2. Let h(o) = 480*o**5 - 1240*o**4 + 892*o**3 + 12*o**2 - 122*o - 28. Let r(l) = h(l) - 6*y(l). Solve r(w) = 0.
-2/9, -2/13, 1
Suppose -140*m - 4153 = -4573. Find y such that 0 + 2/3*y**2 - 2/3*y**4 + 2/3*y**m - 2/3*y = 0.
-1, 0, 1
Let u(n) be the second derivative of -n**4/6 - 22*n**3/3 - 121*n**2 + 6*n + 4. Determine o so that u(o) = 0.
-11
Determine h so that -6/7*h**2 + 0 + 0*h + 43/7*h**3 + 15/7*h**4 = 0.
-3, 0, 2/15
Let m(j) be the first derivative of j**4/12 + 11*j**3/6 + 5*j**2 + 23*j - 43. Let u(h) be the first derivative of m(h). Factor u(c).
(c + 1)*(c + 10)
Let b(q) = q**4 + q**3 + q**2 + q - 1. Let t(f) = 19*f**4 - 21*f**3 - 57*f**2 - 31*f - 9. Let j(w) = 6*b(w) - 2*t(w). Factor j(v).
-4*(v - 3)*(2*v + 1)**3
Let l(o) be the first derivative of 2*o**2 + 2*o**3 + 0*o**4 + 0*o - 2/5*o**5 - 38. Determine c so that l(c) = 0.
-1, 0, 2
Let c(b) be the first derivative of 22*b**3/3 - 8*b**2 + 32*b/11 + 77. Suppose c(f) = 0. Calculate f.
4/11
Factor 429*h**3 + h - 521*h**4 - 124*h**3 + 4*h + 101*h**4 + 180*h**5 - 70*h**2.
5*h*(h - 1)**2*(6*h - 1)**2
Let p be 1 - (1 + 1) - 9/(-3). Find q, given that 1/4*q**3 + 0 + 3/4*q - q**p = 0.
0, 1, 3
Let y(h) = 6*h - 13. Let r(n) = -5*n + 14. Let f(a) = -4*r(a) - 3*y(a). Let w be f(14). Determine s so that -36*s - 22 + 80*s**2 + 19 + w - 16*s - 36*s**3 = 0.
2/9, 1
Let y(x) = -2*x + 22. Let h = -1 - -10. Let w be y(h). Determine a so that a**3 + 9*a**3 - 48*a + 7*a**3 + 16 - 12*a**2 + 15*a**3 + 12*a**w = 0.
-2, 1/3, 1
Factor 13 + 3*l**3 - 85 - 3*l + 20*l + 12 + 7*l + 33*l**2.
3*(l - 1)*(l + 2)*(l + 10)
Let r(b) be the third derivative of 1/180*b**6 + 0*b + 20*b**2 + 0 + 0*b**3 + 0*b**5 - 1/36*b**4. Factor r(j).
2*j*(j - 1)*(j + 1)/3
Let z(w) be the first derivative of -w**7/735 + w**5/105 - w**3/21 + 8*w**2 + 12. Let x(m) be the second derivative of z(m). Determine d so that x(d) = 0.
-1, 1
Let a(m) be the second derivative of -m**6/10 - 3*m**5/20 + m**4/4 + m**3/2 + 305*m. Factor a(l).
-3*l*(l - 1)*(l + 1)**2
Let v = 2611/2 + -1305. What is b in 9/2 + v*b**2 - 3*b = 0?
3
Let r(n) = 19*n**3 - 7*n**2 + 16*n - 26. Let p be r(6). Let -3922 + p + 3*y**3 - 3*y**5 = 0. Calculate y.
-1, 0, 1
Suppose 2*h + b + 7 = 5*h, -h - 2*b = -7. Let 0 - 1/3*f**5 + h*f - 8/3*f**3 - 2*f**2 + 2*f**4 = 0. Calculate f.
-1, 0, 1, 3
Let a(z) = -z**2 + 4*z + 100. Let m be a(-8). Let u(r) be the second derivative of -4*r + 0 