 the first derivative of b(z). Factor h(u).
-2*u*(u - 4)*(u + 1)**2
Let u(c) be the second derivative of -13*c**6/810 - 17*c**5/180 + c**4/54 - c**3/2 + 3*c - 27. Let m(p) be the second derivative of u(p). Factor m(g).
-2*(g + 2)*(26*g - 1)/9
Factor z**3 + 3*z**3 - 20*z**2 + 4271785*z + 36 - 4271773*z.
4*(z - 3)**2*(z + 1)
Let y(u) be the second derivative of u**7/42 - 11*u**6/30 + 3*u**5/4 + 31*u**4/12 - 16*u**3/3 - 18*u**2 - 612*u. Determine x, given that y(x) = 0.
-1, 2, 9
Factor -112*l - 4*l**4 + 28*l**3 + 1054 - 24*l**2 - 626 - 268.
-4*(l - 5)*(l - 2)**2*(l + 2)
Let y = 205 + -196. Let p be ((-42)/(-280))/(y/24). Factor 2/5*f + 1/5 - p*f**3 + 0*f**2 - 1/5*f**4.
-(f - 1)*(f + 1)**3/5
Let k = 96 + -98. Let d be (4/45 + 10/(-50))*k. Solve 2/3*q**4 + 0*q**2 + 0 - d*q**3 + 0*q = 0 for q.
0, 1/3
Let o(h) be the second derivative of -2 + 0*h**2 - 8/33*h**4 + 1/165*h**6 - 20*h - 1/110*h**5 - 20/33*h**3. Suppose o(v) = 0. What is v?
-2, 0, 5
Let a(i) be the third derivative of 1/24*i**6 - 5/3*i**4 + 10*i**3 + 0*i + 0 - 45*i**2 - 1/12*i**5. Factor a(g).
5*(g - 2)**2*(g + 3)
Suppose 26*v = -245 - 145. Let z be (v/12)/((-10)/6). Solve -z - 1/4*u**5 + 1/2*u**2 + 1/4*u**4 + 3/2*u**3 - 5/4*u = 0 for u.
-1, 1, 3
Let z(c) be the second derivative of -c**4/3 + 22*c**3/3 - 60*c**2 - 362*c. Find u such that z(u) = 0.
5, 6
Let l = 30 + -28. Let y be ((-2)/(l/(-3)))/(45/330). Let 7*t**2 + 30*t**5 - 24*t**2 - 33*t**3 + 33*t**4 + 3*t - y*t**2 + 6 = 0. Calculate t.
-1, -1/2, 2/5, 1
Suppose -3*p - 193 = 5*z - 45, -2*z - 68 = -p. Let v = -28 - z. Factor 32*c**v + 19*c + 4*c**3 - 7*c - 28*c**4 - c**2 - 19*c**2.
4*c*(c - 1)**2*(c + 3)
Find k such that -240 - 1015*k**3 + 665/3*k**4 - 650*k - 15*k**5 + 5095/3*k**2 = 0.
-2/9, 1, 3, 8
Let g be 0*(-6 - 145/(-25)). Suppose g = 9*n - 34 + 16. Find a such that -3/4*a + 3/4*a**n - 3/2 = 0.
-1, 2
Let a(p) = 6*p**4 - 1004*p**3 + 1376*p**2 + 1342*p. Let z(f) = -f**4 + 251*f**3 - 344*f**2 - 336*f. Let v(q) = 4*a(q) + 18*z(q). Find m such that v(m) = 0.
-85, -2/3, 0, 2
Let l(o) be the first derivative of o**4/36 + o**3 + 27*o**2/2 + 106*o - 13. Let v(q) be the first derivative of l(q). Determine k, given that v(k) = 0.
-9
Let u be (-55 + (-45141)/(-820))*40. Solve 3/4*k**3 - 3/2*k**4 + 0 + 15/4*k**u + 3/2*k = 0.
-1, -1/2, 0, 2
Let l(f) = 74*f**2 - 18*f + 22. Let j be l(2). Suppose j*o = 281*o. Factor 4/15*n**3 + 0 - 2/15*n**4 - 2/15*n**2 + o*n.
-2*n**2*(n - 1)**2/15
Suppose 204*b = -2 - 1 + 3. Let x(y) be the third derivative of 1/6*y**4 + 0*y + 0*y**3 + 1/2*y**5 + b + 2/5*y**6 + 11/105*y**7 + 4*y**2. Factor x(c).
2*c*(c + 1)**2*(11*c + 2)
Suppose 105*o - 111 = 63 + 36. Let p(v) be the first derivative of 3/4*v**4 + 18 + 0*v**o + 0*v - 2*v**3 + 3/5*v**5. Factor p(g).
3*g**2*(g - 1)*(g + 2)
Let i = 1613 + -1615. Let u be -8 - (-11 - 1) - (2 - i). Suppose 3/4*f**4 + 5/4*f**3 + u + 1/2*f**2 + 0*f = 0. What is f?
-1, -2/3, 0
Let n(p) = p**2 + 3*p - 16. Let x be (12/10)/((-4 + -3)/35). Let i be n(x). Factor -3*l**2 - 4 + i - 4 - 9*l.
-3*(l + 1)*(l + 2)
Solve -4/9*w - 208/9*w**2 + 0 - 68/3*w**3 = 0 for w.
-1, -1/51, 0
Let y(a) be the second derivative of -a**7/56 - 7*a**6/20 - 27*a**5/10 - 10*a**4 - 16*a**3 + 718*a + 1. Factor y(m).
-3*m*(m + 2)*(m + 4)**3/4
Let m(n) be the second derivative of -10 - 16/3*n**2 + 31/18*n**3 + 1/36*n**4 - 14*n. Factor m(p).
(p - 1)*(p + 32)/3
Let v(k) be the second derivative of -k**4/12 + 5*k**3/6 - 2*k**2 + 1594*k. Factor v(s).
-(s - 4)*(s - 1)
Let g(l) be the first derivative of 8*l**5/25 + 2579*l**4/10 + 277778*l**3/5 + 310408*l**2/5 - 207368*l/5 + 6782. Let g(k) = 0. Calculate k.
-322, -1, 1/4
Let b(q) = 26*q**3 - 18*q**2 + 24. Let u(r) be the third derivative of -r**6/60 + r**5/60 - r**3/3 - 72*r**2. Let n(v) = -b(v) - 12*u(v). Factor n(o).
-2*o**2*(o - 3)
Let r be -3 - (-14 + (1 - 2)). Let w = 3598 - 3595. Factor -9/2*t**w + r*t + 6 + 3/2*t**2.
-3*(t - 2)*(t + 1)*(3*t + 2)/2
Let z(f) = 55*f**2 + 1376*f + 469243. Let g(l) = 46*l**2 + 1375*l + 469240. Let k(o) = 6*g(o) - 5*z(o). Factor k(p).
(p + 685)**2
Factor -1/4*u**2 + 992*u - 984064.
-(u - 1984)**2/4
Let j(w) = 20*w**2 - 645*w - 663. Let f be j(-1). Suppose -128 + 160/3*u - 50/9*u**f = 0. Calculate u.
24/5
Let k = 3197 + -22465/7. Let p = 104/7 + k. Let 0 - 2/7*r**5 - 6/7*r**3 + p*r**2 - 10/7*r**4 + 0*r = 0. What is r?
-3, 0, 1
Let j(p) = -p**4 - 420*p**3 + 407*p**2 - 56*p + 21. Let m(d) = -d**4 - 280*d**3 + 271*d**2 - 40*d + 15. Let o(q) = -5*j(q) + 7*m(q). Let o(s) = 0. What is s?
0, 1, 69
Factor -103/4*h**2 + 1/4*h**3 + 0 - 159/2*h.
h*(h - 106)*(h + 3)/4
Let p(h) = h + 2 - 3 + 31*h**3 - 32*h**3 - h**2. Let f(d) = 10*d**3 + 16*d**2 + 6*d + 18. Let a(z) = -4*f(z) - 36*p(z). Factor a(g).
-4*(g + 1)*(g + 3)**2
Let h(m) be the second derivative of -3*m**5/20 - 14*m**4/3 + 7*m**3/2 + 19*m**2 - 436*m. Suppose h(v) = 0. Calculate v.
-19, -2/3, 1
Let y = 1 - 0. Suppose -2*d = 5*n - 31, 5*d + 2*n - 16 - 9 = 0. What is p in -4 - 3*p**3 - d*p + 12*p - y + 11 = 0?
-1, 2
Let j = 2129/318 + -346/53. Factor 19/3 + 7/2*v + j*v**2.
(v + 2)*(v + 19)/6
Let t(h) be the third derivative of 1/300*h**5 + 1/24*h**4 + 0*h**3 + 0 - 2*h**2 - 78*h. Factor t(d).
d*(d + 5)/5
Let s = 30659 + -30657. Determine j, given that -1/3*j**s - 12*j - 108 = 0.
-18
Let s = -43 - -45. Suppose -4 = 2*i + s*i. Let l(t) = -2*t**3 - 4*t**2 - 22*t + 4. Let g(y) = y**2 + y. Let w(a) = i*l(a) - 12*g(a). Factor w(j).
2*(j - 2)*(j - 1)**2
Let g be (-7 - (-5 - 8))*(-1)/(-2). Determine r so that -6*r**3 - 89*r**2 + 5*r**4 + 15*r + 84*r**2 - 9*r**g = 0.
-1, 0, 1, 3
Let b(u) be the third derivative of 0 + 0*u + 3*u**2 - 1/36*u**5 + 25/72*u**4 + 1/1080*u**6 - 1/6*u**3. Let l(z) be the first derivative of b(z). Factor l(m).
(m - 5)**2/3
Let r be (75/(-10))/(1/(-2)). Suppose -2*a + r + 15 = 0. Let a - 10*t + 9 + 10*t**2 - 15*t**2 - 9 = 0. What is t?
-3, 1
Let w(a) = 2*a**2 + 2*a. Let s be w(-2). Let g = 9504/115 - 37901/460. Factor 1/4*d**s + 0*d - 1/2*d**2 + g + 0*d**3.
(d - 1)**2*(d + 1)**2/4
Suppose 5*a + 20 = -2*b, 5*a - 13010*b - 85 = -13005*b. Factor 0 + 12/5*j**3 + 92/5*j**a + 56/5*j.
4*j*(j + 7)*(3*j + 2)/5
Factor 96*q + 195/2*q**2 + 0 + 3/2*q**3.
3*q*(q + 1)*(q + 64)/2
Let r = -11213 + 11218. Let l(m) be the second derivative of m + 5/42*m**7 + 16*m**r + 8/3*m**6 + 0*m**2 + 0*m**4 + 0*m**3 + 0. Find j such that l(j) = 0.
-8, 0
Let d be (-30 + 364/13)/(-1). Solve -6/11*r + 4/11 + 2/11*r**d = 0.
1, 2
Suppose -2*j = -u - 73, -3*j + 3*u = -47 - 64. Suppose 0 = 2531*p - 2522*p - j. Suppose 58/11*r**2 + 78/11*r + 18/11*r**3 + 2/11*r**p + 36/11 = 0. What is r?
-3, -2, -1
Let v be (-39)/(-234)*(-210)/(-20). Suppose -3*x = -0*x + 2*g + 4, -5*g - 23 = x. Let 3/2*u**x - 3/4*u**5 + 1/2 - u**3 - 2*u**4 + v*u = 0. Calculate u.
-1, -2/3, 1
Let c(k) be the first derivative of -2/3*k**3 + 1/3*k**4 - 8/3*k**2 - 8/3*k + 74 + 2/15*k**5. Suppose c(o) = 0. Calculate o.
-2, -1, 2
Let v(j) be the first derivative of j**4/10 + 2*j**3 - 144*j**2/5 + 88*j + 763. Suppose v(q) = 0. Calculate q.
-22, 2, 5
Solve -352*t**2 + 57*t**3 + 139*t**3 + 62*t**4 - 270*t**2 - 12*t - t**5 + 560*t**2 - 183*t = 0 for t.
-3, -1, 0, 1, 65
Let k(i) be the first derivative of i**5/20 - 2*i**4/3 + 11*i**3/6 + 10*i**2 - 105*i + 211. Let v(q) be the first derivative of k(q). Factor v(d).
(d - 5)*(d - 4)*(d + 1)
Let d(w) be the second derivative of -7/45*w**3 + 1/90*w**4 - 25*w + 2/5*w**2 + 0. Let d(g) = 0. What is g?
1, 6
Let g(f) be the third derivative of -f**5/390 - 28*f**4/13 - 9408*f**3/13 + 1257*f**2. Find a such that g(a) = 0.
-168
Let x(q) = -107*q**2 + 1565*q + 1572. Let z(i) = -1476*i**2 + 21912*i + 22008. Let b(l) = -69*x(l) + 5*z(l). Let b(h) = 0. Calculate h.
-524, -1
Let j be (3/2)/((-345)/70840). Let t = j + 1233/4. Factor 1/4 + 3/2*x**2 + x**3 + x + t*x**4.
(x + 1)**4/4
Suppose -320/3*h - 40/3*h**3 - 1132/3*h**2 + 7/3*h**4 + 0 = 0. What is h?
-10, -2/7, 0, 16
Let z(f) be the second derivative of f**6/50 - 159*f**5/100 + 41*f**4 - 1536*f**3/5 + 3456*f**2/5 - 2*f + 977. Let z(b) = 0. What is b?
1, 4, 24
Let n(r) be the third derivative of 1/48*r**5 - 5/32*r**4 + 1/32*r**6 - 1/168*r**7 + 33*r**2 + 0*r + 0 + 0*r**3. Factor n(i).
-5*i*(i - 3)*(i - 1)*(i + 1)/4
Let t be 5*3/((-4)/((-40)/50)). Let b(k) be the first derivative of 