he second derivative of z(m). Factor w(p).
(p - 12)**2/4
Let a = 184 + -61. Suppose -7*p = -3 - a. Factor -8*f**2 - 10*f - 43 + 13 + 10 + p.
-2*(f + 1)*(4*f + 1)
Let y(j) be the first derivative of -2*j**6/27 + 44*j**5/45 + 25*j**4/9 + 52*j**3/27 + 836. Solve y(x) = 0 for x.
-1, 0, 13
Let f(s) be the second derivative of -s**6/12 + 3*s**5/8 - 5*s**4/12 - s + 819. Factor f(z).
-5*z**2*(z - 2)*(z - 1)/2
Let a = -3/118259 - -118268/354777. Let 16/3*g + a*g**3 - 7/3*g**2 - 4 = 0. What is g?
2, 3
Let o(x) be the first derivative of x**4/7 + 76*x**3/21 + 176*x**2/7 + 49. Factor o(f).
4*f*(f + 8)*(f + 11)/7
Let h(x) be the first derivative of x**3 - 75*x**2 + 147*x - 1601. Find w, given that h(w) = 0.
1, 49
Suppose 0*t + 16*t - 70 = -19*t. Let -2/3*c**3 + 0*c - t*c**4 + 0 + 2/3*c**5 + 2*c**2 = 0. Calculate c.
-1, 0, 1, 3
Let y(m) be the third derivative of m**5/420 + 151*m**4/168 + 149*m**3/21 - 40*m**2. Factor y(b).
(b + 2)*(b + 149)/7
Let p(q) be the third derivative of q**8/1680 - 2*q**7/175 + 2*q**6/25 - 4*q**5/15 + 2*q**4/5 - 4*q**2 - 1584*q. Factor p(w).
w*(w - 6)*(w - 2)**3/5
Let n be 9/9*10*1/4. Let f(v) be the first derivative of -11 + 5/2*v**4 - v**5 + 10/3*v**3 - n*v**2 - 5/6*v**6 - 5*v. Solve f(j) = 0 for j.
-1, 1
Let w(l) be the first derivative of -3*l**4 + 8/3*l**2 - 16/3*l**3 + 28/15*l**5 - 92 + 0*l. Find c, given that w(c) = 0.
-1, 0, 2/7, 2
Let u(k) be the second derivative of -13*k**5/30 - 547*k**4/54 - 1925*k**3/27 - 49*k**2/9 + 1093*k + 2. Factor u(c).
-2*(c + 7)**2*(39*c + 1)/9
Let q = -995714 - -1991429/2. Factor q*d**2 - 64*d + 2048.
(d - 64)**2/2
Let x = -869 - -870. Suppose 32*f = -x + 129. Factor j - 2/3*j**3 + 1/3 - 1/3*j**5 + 2/3*j**2 - j**f.
-(j - 1)*(j + 1)**4/3
Suppose 5 = c + 2*x - x, 0 = -4*c + 2*x + 2. Let n(m) = m**3 + m**2 - 4*m - 1. Let q be n(-2). Factor 2*y**c + 543*y**q - 543*y**3 - 2*y**4.
-2*y**2*(y - 1)*(y + 1)
Let j(h) = -41*h**2 - 4875*h - 19754. Let t(l) = 52*l**2 + 6500*l + 26338. Let v(o) = 9*j(o) + 7*t(o). Factor v(i).
-5*(i - 329)*(i + 4)
Suppose -115776507*d**2 - 1652562*d**3 - 75133122*d**2 - 3636*d**4 - 3*d**5 - 91874757*d**2 - 101599790*d**2 + 50566652*d**2 - 25286677443*d = 0. What is d?
-303, 0
Factor 170*o**2 + 5*o**4 - o**4 + 249*o**2 + 401*o**2 + 1097*o + 151*o - 424*o**3.
4*o*(o - 104)*(o - 3)*(o + 1)
Let n(u) = -u**3 + 47*u**2 + 53*u - 2491. Let d be n(47). Suppose 4 + 7 = 3*m + 2*a, -2*m = a - 7. Find p such that d*p - 5/3*p**4 - 5/3*p**m + 0 + 0*p**2 = 0.
-1, 0
Suppose 771*z + 54 = 405*z + 393*z. Determine p, given that -2/5*p**4 + 32/5*p**3 - 162/5 - 288/5*p - 92/5*p**z = 0.
-1, 9
Let i be 4/(-5 + 6) + 19 - 2. Solve -36*m**3 + 7*m**4 + 11*m + 29*m - i*m**4 + 44*m**2 - 4*m**5 - 30*m**4 = 0.
-10, -1, 0, 1
Let t be ((-26)/(-14) - 1)/(-28 + 29). Let z(k) be the second derivative of t*k**2 + 1/42*k**4 + 5/21*k**3 + 30*k + 0. Find q such that z(q) = 0.
-3, -2
Suppose -23234*k = -23221*k. Let w(p) be the third derivative of k - 22*p**2 + 1/30*p**5 + 0*p + 0*p**4 + 0*p**3 - 1/60*p**6. Factor w(b).
-2*b**2*(b - 1)
Let g(s) be the third derivative of -s**7/105 + s**6/10 + 8*s**5/15 - 25*s**4/2 + 75*s**3 - 2*s**2 + s + 572. Suppose g(w) = 0. What is w?
-5, 3, 5
What is r in -49/2*r + 0 + 1/4*r**2 = 0?
0, 98
Let f be 70/20 - (2 - -1). Let b = -186640 + 186641. Factor -b + 3/2*a**2 - 1/2*a**3 - 1/2*a**4 + f*a.
-(a - 1)**2*(a + 1)*(a + 2)/2
Let w(j) = 13*j**3 - 56*j**2. Let y(c) = -15*c**3 + 55*c**2. Let o(k) = 10*w(k) + 9*y(k). Factor o(s).
-5*s**2*(s + 13)
Let a(z) be the second derivative of -43/24*z**3 + 31/48*z**4 - 202*z + 9/4*z**2 + 0 - 1/120*z**6 - 1/16*z**5. Factor a(n).
-(n - 2)*(n - 1)**2*(n + 9)/4
Let u = -10/421 - -12249/1684. Determine f so that -3/2*f**3 + 3/2*f - 5/4 + u*f**2 = 0.
-1/2, 1/3, 5
Let n(v) be the first derivative of 0*v**2 + 0*v + 0*v**3 - 2/5*v**5 + 1/4*v**4 + 1/6*v**6 + 41. Factor n(t).
t**3*(t - 1)**2
Let g(i) be the third derivative of i**6/180 + 13*i**5/45 - 95*i**4/36 - 1444*i**3/3 + 18*i**2 - 63*i + 2. Factor g(o).
2*(o - 12)*(o + 19)**2/3
Let s(o) be the second derivative of o**5/50 - 7*o**4/2 + 864*o**3/5 + 8748*o**2/5 + 4461*o. Let s(v) = 0. Calculate v.
-3, 54
Let y(g) be the second derivative of 0*g**3 + 3/10*g**5 + 30*g + 1/14*g**7 + 0*g**4 + 3/10*g**6 + 5 + 0*g**2. Factor y(b).
3*b**3*(b + 1)*(b + 2)
Let w(t) be the second derivative of 1/24*t**4 + 0 + 5/12*t**3 - 1/40*t**5 + 3/4*t**2 - t. Factor w(l).
-(l - 3)*(l + 1)**2/2
Let b(y) be the third derivative of 1/110*y**5 + 1/1155*y**7 + 3*y + 1/220*y**6 + 0 - 7*y**2 + 1/132*y**4 + 0*y**3. Let b(r) = 0. What is r?
-1, 0
Let f(d) = 12*d - 41 - 1 - 4*d + 6. Let q be f(5). Solve -16/3*z + 4/3*z**q + 20/3*z**3 - 4/3*z**5 - 20/3*z**2 + 16/3 = 0.
-2, -1, 1, 2
Let l(q) be the first derivative of -7*q**5/25 + 2*q**4 - 24*q**3/5 + 16*q**2/5 - 60*q + 50. Let o(c) be the first derivative of l(c). Let o(b) = 0. What is b?
2/7, 2
Suppose h - 16 + 44 = w, 3*w - 5*h - 86 = 0. Let r = -20 + w. Let r*g + 7 + 6 + 2 + 13*g + 5*g**2 = 0. What is g?
-3, -1
Suppose 52*t + 15 = 57*t. Solve 21*y**2 + t*y**3 + 9*y**2 - 195*y**4 - 9*y + 33*y + 192*y**4 = 0 for y.
-2, -1, 0, 4
Let z = -60893 - -426253/7. What is j in 0 + 2/7*j - z*j**4 - 6/7*j**2 + 6/7*j**3 = 0?
0, 1
Let g(u) = -u**3 + u + 1. Let a(c) = -3*c**3 + 33*c**2 - 59*c - 29. Let q(i) = -a(i) + 2*g(i). Let s be q(31). What is z in -4/5 + 1/5*z**2 + s*z = 0?
-2, 2
Let o(n) = 4*n**3 + 50592*n**2 + 31953888*n + 16. Let h(s) = -s**3 - 10118*s**2 - 6390778*s - 3. Let y(v) = -16*h(v) - 3*o(v). Find a, given that y(a) = 0.
-1264, 0
Let n = 61 + -40. Find y such that n*y - 28*y + y**3 - 10*y**2 + 23*y + 27*y**2 = 0.
-16, -1, 0
Let y be (-138)/(-207)*1/(42/(-5)). Let q = y - -215/63. Factor 8/3*a**4 + q*a**3 + 0*a + 2/3*a**5 + 0 + 4/3*a**2.
2*a**2*(a + 1)**2*(a + 2)/3
Let n = 3256 + -3250. Let h(f) be the second derivative of 1/8*f**5 + 0 + n*f + 270*f**2 + 15/4*f**4 + 45*f**3. Suppose h(a) = 0. Calculate a.
-6
Suppose -10*j = 116 - 136. Let s be j + 1*28/(-21). Factor s*y**2 - 1/3*y + 1/3*y**3 - 2/3.
(y - 1)*(y + 1)*(y + 2)/3
Let w(d) be the first derivative of -5*d**3/3 - 220*d**2 - 435*d - 2790. Find c such that w(c) = 0.
-87, -1
Let x(v) be the second derivative of 57*v + 0*v**2 - 5/4*v**4 - 5/3*v**3 - 1/4*v**5 + 0. Factor x(m).
-5*m*(m + 1)*(m + 2)
Factor -10*r**4 + 3*r**5 + 18*r**3 - 37*r**2 - 58*r**2 + 37*r**4 - 73*r**2.
3*r**2*(r - 2)*(r + 4)*(r + 7)
Suppose f - 2/7*f**3 + 13/7*f**2 + 0 = 0. What is f?
-1/2, 0, 7
Suppose 36*p = 8*p - 53*p + 243. Let v(y) be the third derivative of 1/240*y**5 - 10*y**2 + 0*y + 1/12*y**p + 1/32*y**4 + 0. Let v(o) = 0. What is o?
-2, -1
Suppose -70 = -5*u - 10*i, -28 = u - 27*i + 23*i. Factor 0*g + 0*g**2 + u - 10/9*g**3 + 2/9*g**4.
2*g**3*(g - 5)/9
Suppose i + 21 = n, -3*n - i - 1377 = -1368. Factor 6*y**2 - 3/2*y**4 + 0 + 0*y**n + 0*y.
-3*y**2*(y - 2)*(y + 2)/2
Factor -143*n**2 + 50*n**2 - 9*n + 351 + 21*n + 47*n**2 + 43*n**2.
-3*(n - 13)*(n + 9)
Let m = -12279 + 12287. Let n(y) be the second derivative of -1/3*y**3 - m*y + 1/10*y**5 + 0*y**4 - 1/30*y**6 + 1/2*y**2 + 0. Factor n(r).
-(r - 1)**3*(r + 1)
Factor 0 + 4/3*s**2 + 868/3*s.
4*s*(s + 217)/3
Let p(f) = 2*f**2 - 52*f - 1459. Let a be p(-17). Let g(n) be the second derivative of 3/4*n**2 + 26*n + 0 - 5/24*n**a + 1/48*n**4. Solve g(s) = 0.
2, 3
Let j(t) be the third derivative of t**6/540 + t**5/3 - 283*t**4/108 - 124*t**3/9 + 2*t**2 + t - 209. Factor j(r).
2*(r - 4)*(r + 1)*(r + 93)/9
Let m(t) be the first derivative of -t**5/20 + 37*t**4/16 + t**3/12 - 37*t**2/8 - 709. Suppose m(d) = 0. What is d?
-1, 0, 1, 37
Let x = -97 - -99. Let l be ((-9)/x)/(6/(-8)). Let 3*j**5 - 9*j**3 + l*j**2 + 0*j**3 + 0*j**3 = 0. Calculate j.
-2, 0, 1
Let r(q) be the third derivative of -q**7/504 - q**6/48 + 5*q**5/12 + 91*q**4/24 - 3*q**2. Let y(t) be the second derivative of r(t). Find d such that y(d) = 0.
-5, 2
Let g be 4/(-6) + 28/6. Suppose 0 = -4*w - 2*t + 8, -g*t - 6 = -4*w + w. Suppose -28*d**4 - 14*d**3 - 3*d**3 - w*d**2 - d**3 + 3*d**3 = 0. Calculate d.
-2/7, -1/4, 0
Let s be 2264/(-128) + 6 - -12. Let t(x) be the second derivative of -s*x**4 + 5/12*x**3 + 1/16*x**5 + 0*x**2 + 0 - 5*x. Solve t(j) = 0.
0, 1, 2
Suppose -653 + 707 = 27*s. Let n(a) be the first derivative of 2/3*a**3 - 20*a + 3*a**s + 