 z(l).
-2*(l - 1)*(l + 6)
Let t(b) be the second derivative of 5/4*b**2 + 1/3*b**3 + 12 - 1/24*b**4 - b. Factor t(k).
-(k - 5)*(k + 1)/2
Factor -94/3*c**2 + 2*c**3 + 26 + 202/3*c.
2*(c - 13)*(c - 3)*(3*c + 1)/3
Suppose -1850*u**4 + 6 + 178*u**3 + 1874*u**4 + 9*u + 215*u**2 + 58*u = 0. Calculate u.
-6, -1, -1/4, -1/6
Let z(w) be the second derivative of 3/20*w**5 + 0*w**2 + 34*w + 0*w**3 - 1 - 7/4*w**4. Suppose z(f) = 0. What is f?
0, 7
Let c be ((-1)/(-3))/(5/45). Let b = -865 - -876. Factor 2 - 2*f**4 + 3*f**3 - 7*f**c + 0 - b*f + 15*f.
-2*(f - 1)*(f + 1)**3
Let j(b) = -4*b**3 + 49*b**2 - 13*b + 16. Let k be j(12). Let y be (33/(-44))/(77/(-44)). Find v such that 0*v**2 + 0 - 3/7*v**k + 0*v + y*v**3 = 0.
0, 1
Let m(n) be the second derivative of 4*n**7/189 + 73*n**6/135 + 37*n**5/9 + 296*n**4/27 + 346*n**3/27 + 55*n**2/9 + 112*n + 4. What is k in m(k) = 0?
-11, -5, -1, -1/4
Suppose -3*x = -4*p - 5, -3*x - 2*p + 5 = -2*x. Factor 1584*c - c**3 - 135*c**2 + c**3 - 3*c**3 + 9*c**x - 3*c**3 - 1452.
3*(c - 22)**2*(c - 1)
Let r = 521/356 + -108/89. Let h(d) be the second derivative of r*d**3 + 0 - 27*d - 3/2*d**2 + 1/8*d**4. Suppose h(t) = 0. What is t?
-2, 1
Let r be ((-31 - -30) + 10/8)*6. Let j(d) be the first derivative of -3*d**3 + 0*d + 9/4*d**4 + r*d**2 - 3/5*d**5 - 1. Find f, given that j(f) = 0.
0, 1
Let f(n) be the third derivative of n**6/480 + n**5/40 - 2*n**4/3 + 4*n**3 + 5116*n**2. Find r, given that f(r) = 0.
-12, 2, 4
Let h = -17024 + 17029. Let t(x) be the second derivative of -9/4*x**4 + 1/10*x**6 + 0 + 0*x**3 - 5*x - 6/5*x**h + 0*x**2. What is g in t(g) = 0?
-1, 0, 9
Suppose 0 = -22*x - 1364 + 5434. Let h = x + -182. Factor -3*c**4 + 48/7*c**h + 6/7*c + 0 - 33/7*c**2.
-3*c*(c - 1)**2*(7*c - 2)/7
Factor -5*n**3 - 1066*n + 120 + 520*n - 50*n**2 + 566*n + 5*n**4.
5*(n - 3)*(n - 2)*(n + 2)**2
Factor 5/2*o + 45 - 25/3*o**2 + 5/6*o**3.
5*(o - 9)*(o - 3)*(o + 2)/6
Let l = 4350 + -8699/2. Let h(a) be the third derivative of 1/4*a**4 - l*a**3 + 0*a + 23*a**2 - 1/20*a**5 + 0. Factor h(k).
-3*(k - 1)**2
Determine r so that -520/7*r + 440/7*r**4 + 50/7*r**5 - 16 - 436/7*r**2 + 578/7*r**3 = 0.
-7, -2, -2/5, 1
Let w(y) be the first derivative of -6/5*y - 153 + 9/10*y**2 - 1/5*y**3. Factor w(z).
-3*(z - 2)*(z - 1)/5
Let q(o) be the first derivative of -o**7/42 + o**5/5 + o**4/6 - o**3/2 - o**2 - 71*o - 2. Let c(b) be the first derivative of q(b). Let c(r) = 0. Calculate r.
-1, 1, 2
Factor -208/11*t**3 + 0 + 38/11*t**4 - 2/11*t**5 + 32*t**2 + 0*t.
-2*t**2*(t - 11)*(t - 4)**2/11
Let i(z) = 3 - 19*z + 6*z**2 + 3 + 0 + 3*z**2 - 2. Let b(d) = -10*d**2 + 20*d - 5. Let p(f) = 4*b(f) + 5*i(f). Factor p(a).
5*a*(a - 3)
Let n = -7641473/17 - -449499. What is q in -n*q**3 - 104/17*q**2 - 130/17*q - 36/17 = 0?
-9, -1, -2/5
Let x = -96 + 20. Let d be x/(-10) + (-5)/5 + -3. Factor -54/5 - d*m**2 + 2/5*m**3 + 54/5*m.
2*(m - 3)**3/5
Let h(a) be the second derivative of -a**7/105 + a**6/30 + a**5/10 + 20*a**2 + 54*a. Let q(c) be the first derivative of h(c). Determine z, given that q(z) = 0.
-1, 0, 3
Suppose 3*p = 5*o + 37 - 23, 0 = 3*o - 24. Let x(k) be the second derivative of p*k**2 + 0 - 10*k - 8/3*k**4 - 5*k**3 - 3/10*k**5. Find u, given that x(u) = 0.
-3, 2/3
Factor 4/13*t**4 + 0 - 2/13*t**5 - 16/13*t**2 + 0*t + 8/13*t**3.
-2*t**2*(t - 2)**2*(t + 2)/13
Let g(l) be the first derivative of 5*l**5 + 0*l + 0*l**3 + 15/2*l**4 - 66 + 0*l**2 + 5/6*l**6. Suppose g(w) = 0. What is w?
-3, -2, 0
Let a be (-172)/(-36) - (-4)/18. Suppose a = -2*g + 9. Factor 8 - 673*c**g + 2*c + 677*c**2 - 20*c.
2*(c - 4)*(2*c - 1)
Let h(v) = v**2 - 1. Let j(c) = -c**2 + 40*c - 103. Let l be -3 + 4 + -3 + 4. Let g be (l - 1)*4/4. Let q(u) = g*j(u) - 3*h(u). Solve q(f) = 0.
5
Let w be -1*(11616/(-704) + 1*13). Factor -w*i - 1/2*i**2 - 5.
-(i + 2)*(i + 5)/2
Let x(m) be the second derivative of -m**7/14 - 2*m**6/5 + 5*m**4/2 + m**3/2 - 9*m**2 - 1922*m. What is z in x(z) = 0?
-3, -2, -1, 1
Let x(m) be the second derivative of -5*m**4/8 - 1535*m**3/6 + 1025*m**2/4 + 10*m + 45. Factor x(l).
-5*(l + 205)*(3*l - 1)/2
What is z in -13/3*z**2 - 52/3*z + 64/3 + 1/3*z**3 = 0?
-4, 1, 16
Let q(s) = s**2 - 29*s. Suppose -3*m + 8*m = -10. Let j(d) = -9*d**2 + 291*d. Let k(a) = m*j(a) - 21*q(a). Factor k(z).
-3*z*(z - 9)
Let i(m) be the second derivative of 0*m**2 + 2*m**5 + 0*m**3 - 2 + 2/5*m**6 - 2*m - 8/3*m**4. Suppose i(x) = 0. Calculate x.
-4, 0, 2/3
Let o(s) = -115*s + 1844. Let i be o(16). Let y(b) be the second derivative of 0 + 2*b + 2/5*b**2 + 1/75*b**6 - 1/15*b**3 + 1/50*b**5 - 1/10*b**i. Factor y(t).
2*(t - 1)**2*(t + 1)*(t + 2)/5
Let k(v) = -v**5 - 5*v**4 + 29*v**3 - 27*v**2 + 6*v + 2. Let b(a) = a**5 - a**4 + a**3 + 3*a**2 - 3*a + 1. Let l(g) = -2*b(g) + k(g). Factor l(x).
-3*x*(x - 1)**3*(x + 4)
Let n(q) be the first derivative of q**4/2 + 2*q**3/3 - 32*q**2 - 120*q + 5. Factor n(h).
2*(h - 6)*(h + 2)*(h + 5)
Let i = 43567 + -43564. Factor 3/7*j**i + 6/7*j**2 - 6/7 - 3/7*j.
3*(j - 1)*(j + 1)*(j + 2)/7
Let c(n) be the second derivative of n**4/4 - 249*n**3 - 1500*n**2 + 1156*n. Determine v, given that c(v) = 0.
-2, 500
Let i(c) be the first derivative of c**6/30 + 2*c**5/5 - 37*c**4/10 - 272*c**3/15 - 287*c**2/10 - 98*c/5 - 1817. Find s such that i(s) = 0.
-14, -1, 7
Let l(p) be the first derivative of p**6/780 - 11*p**5/390 + 35*p**4/156 - 25*p**3/39 + 27*p**2 + 1. Let v(f) be the second derivative of l(f). Factor v(k).
2*(k - 5)**2*(k - 1)/13
Suppose 16*o = 59*o - 129. Let s(x) be the first derivative of -6/7*x**2 + 18/7*x - 4 + 2/21*x**o. Let s(j) = 0. Calculate j.
3
Suppose -1182*x = -1177*x + 3*c + 7, 5*c = -4*x - 16. Solve -x + 5/4*l**2 + 0*l + 0*l**3 - 1/4*l**4 = 0 for l.
-2, -1, 1, 2
Let z(y) be the third derivative of y**7/42 + 61*y**6/24 - y**5/12 - 305*y**4/24 - 1146*y**2. Determine r so that z(r) = 0.
-61, -1, 0, 1
Let v(m) = 6*m**2 - 13*m + 19. Let s(f) = -f**2 + f. Let j(q) = 5*s(q) + v(q). Let l be j(7). Solve 6*n**3 + l*n**2 + 4*n + 9*n**3 - 6*n**3 = 0.
-2/3, 0
Suppose 10*g + 172 = 112. Let o be ((-54)/(-16) + g)*8/(-6). Factor -8*i + 2 - 19/2*i**3 + 25/2*i**2 + o*i**4 - 1/2*i**5.
-(i - 2)**2*(i - 1)**3/2
Let z be 40/12*21231/42. Let g = 1685 - z. Let -2/7*p**3 - 2/7*p - 4/7*p**2 + g = 0. What is p?
-1, 0
Let o(a) = a**2 + 6*a - 68. Let c be o(6). Factor 21*d**4 + 2*d**2 + 763*d**3 - 23*d**4 - c*d - 759*d**3.
-2*d*(d - 2)*(d - 1)*(d + 1)
Let m(k) be the second derivative of -k**4/12 - 251*k**3/3 + 503*k**2/2 + 49*k - 3. Determine s, given that m(s) = 0.
-503, 1
Let 0*f**2 - f**2 + 6783*f + 26*f**4 - 21*f**4 - 25*f**3 + f**5 - 4*f**2 - 6759*f = 0. What is f?
-8, -1, 0, 1, 3
Suppose -q - 10*q + 504 - 471 = 0. Let n(d) be the second derivative of -5 + 3/70*d**5 + 1/7*d**3 + q*d - 1/7*d**4 + 0*d**2. Factor n(m).
6*m*(m - 1)**2/7
Let x(r) be the first derivative of -7*r**6/360 - 121*r**5/120 - 17*r**4/12 + 71*r**3/3 + r**2 + 70. Let c(v) be the third derivative of x(v). Factor c(a).
-(a + 17)*(7*a + 2)
Let z = -411 + 415. Factor 12*a**4 + 23*a**z + 40*a**3 + 10*a**2 - 27*a**2 + 22*a**2.
5*a**2*(a + 1)*(7*a + 1)
Let a(g) be the second derivative of -5*g**4/12 - 2215*g**3/6 - 2205*g**2 - 5778*g. Find m, given that a(m) = 0.
-441, -2
Let z(s) = -s**5 + 2*s**4 - 2*s**3 - s**2 - s. Let a(u) = 12*u**5 - 4*u**4 + 16*u**3 + 8*u**2 + 8*u. Let r(j) = -a(j) - 8*z(j). Find m, given that r(m) = 0.
-3, 0
Let w be 8/(-14) + (70 - (-265857)/(-3864)). Find o, given that -17/4*o**2 + 1/8*o**5 - w - 9/8*o**4 + 21/8*o + 13/4*o**3 = 0.
1, 5
Let c = 28/159 - -77/265. Let q(g) be the second derivative of c*g**6 + 0*g**3 + g**4 + 0*g**2 + 23/10*g**5 + 11*g + 0. Factor q(w).
2*w**2*(w + 3)*(7*w + 2)
Let h = 130 - 75. Determine p, given that -10*p**3 + 3*p**4 + 9*p - 9*p + h*p**3 = 0.
-15, 0
Let w = -10189 - -10189. Let c(l) be the third derivative of 0 + 0*l**3 + w*l + 0*l**4 + 1/24*l**6 - 1/12*l**5 - 21*l**2. Factor c(x).
5*x**2*(x - 1)
Let d be (24 - -1)*(-72)/(-120). Let r(n) be the first derivative of -d + 1/10*n**4 - 1/5*n**2 - 2/25*n**5 + 2/15*n**3 + 0*n. Suppose r(f) = 0. What is f?
-1, 0, 1
Suppose 0*x + x = 4, 0 = 5*j - x - 16. Suppose -o - 19 = -g - 4*g, -j*g - 2*o = -4. Let -4*d**4 + 16/3*d**2 - 8/3*d + 8/3*d**g - 4/3 = 0. Calculate d.
-1, -1/3, 1
Factor -570*t + 2826*t**2 + 2776*t**2 -