ond derivative of 1/18*k**3 - 10*k + 0 + 1/3*k**2 - 1/36*k**4. Let z(f) = 0. What is f?
-1, 2
Let n = 106 - 103. Factor 5*h**2 + 225*h**4 + 2*h + n*h**3 - 116*h**4 - h**5 - 110*h**4.
-h*(h - 2)*(h + 1)**3
Let p(y) be the first derivative of 5/3*y**3 + y**2 + 3/4*y**4 + 7 + 0*y. Determine s, given that p(s) = 0.
-1, -2/3, 0
Let g be -1*(-1260)/1050*(-5)/(-3). Let 2/13*j**3 + 0 + 8/13*j**g + 8/13*j = 0. Calculate j.
-2, 0
Suppose -17*p = -16*p + 4*c - 23, 2*c - 25 = -5*p. Factor -54*x**2 + 0 - 4*x - 243*x**p - 729/2*x**4.
-x*(9*x + 2)**3/2
Let y be (1/1*0)/(-1 - (8 - 5)). Find k such that 1/4*k**4 - 1/4*k**2 - 1/4*k**3 + y + 1/4*k = 0.
-1, 0, 1
Let s(m) be the first derivative of m**7/42 - 4*m**6/15 + 3*m**5/4 + 2*m**4/3 - 8*m**3/3 + 18*m - 32. Let r(j) be the first derivative of s(j). Factor r(f).
f*(f - 4)**2*(f - 1)*(f + 1)
Let b = 48 - 42. Factor 8*j**3 - 9*j**4 + 6*j**2 - b*j + 3*j**2 - 2*j**3.
-3*j*(j - 1)*(j + 1)*(3*j - 2)
Determine l so that -108/5 + 3/5*l**4 + 21*l**2 + 36/5*l**3 - 36/5*l = 0.
-6, -1, 1
Let y(u) be the third derivative of -u**5/360 - 5*u**4/144 + u**3/6 + 3*u**2 - 11*u. Factor y(g).
-(g - 1)*(g + 6)/6
Let v = 5678 - 5675. Factor 0*d + 0 + 10/9*d**4 + 2/9*d**2 - 4/9*d**5 - 8/9*d**v.
-2*d**2*(d - 1)**2*(2*d - 1)/9
Suppose 1244 = 9*k + 1154. Let a(i) be the first derivative of k + 4/5*i - 1/5*i**3 + 2/5*i**2. Solve a(m) = 0 for m.
-2/3, 2
Factor -12 - 22/3*l - 2/3*l**2.
-2*(l + 2)*(l + 9)/3
Let c(z) be the second derivative of z**7/21 + 16*z**6/15 + 36*z**5/5 - 144*z**3 + 170*z. Factor c(g).
2*g*(g - 2)*(g + 6)**3
Let v(t) be the second derivative of -t**6/105 + 3*t**5/35 - 2*t**4/7 + 10*t**3/21 - 3*t**2/7 + t + 1. Find u, given that v(u) = 0.
1, 3
Let v(o) be the first derivative of o**7/280 + o**6/120 - o**5/20 - 5*o**3/3 - 4. Let i(m) be the third derivative of v(m). Factor i(f).
3*f*(f - 1)*(f + 2)
Let z(k) be the second derivative of -k**4/120 - k**3/15 + k**2/4 + 79*k. Factor z(y).
-(y - 1)*(y + 5)/10
Let a(q) be the first derivative of q**6/600 - q**5/100 + 11*q**3/3 - 11. Let t(c) be the third derivative of a(c). What is d in t(d) = 0?
0, 2
Let m(r) be the second derivative of -r**7/105 + r**6/60 - r**2/2 + 4*r. Let u(c) be the first derivative of m(c). Factor u(i).
-2*i**3*(i - 1)
Let o be (9/4)/(-3*4/(-36)). Let h = -303 + 669/2. Determine f so that 147/4*f**2 + h*f + o = 0.
-3/7
Let n(y) be the third derivative of y**7/525 - y**6/150 - y**5/50 - 2*y**2 - 124*y. Factor n(b).
2*b**2*(b - 3)*(b + 1)/5
Let -27*w + 324*w**3 - 144*w**2 - 15*w + 58*w = 0. What is w?
0, 2/9
Let g(k) be the third derivative of 1/6*k**5 + 19/300*k**6 + 4/15*k**4 + 0*k + 0 + 4/15*k**3 - 16*k**2 + 1/840*k**8 + 1/75*k**7. Find w such that g(w) = 0.
-2, -1
Let k be 2530/715 - 6/(-13). Suppose 12/5*q**2 + 2/5*q**k + 2/5 - 8/5*q**3 - 8/5*q = 0. What is q?
1
Suppose -4*f + 19 = 3. Find g such that -7*g**4 + 28*g**5 + 2*g**f - 7*g**4 + 4*g**4 - 84*g**3 - 32*g**2 + 16*g = 0.
-1, 0, 2/7, 2
Let q(x) be the second derivative of 4*x**6/15 + 27*x**5/10 + 19*x**4/2 + 32*x**3/3 - 12*x**2 - 7*x - 3. Factor q(l).
2*(l + 2)**2*(l + 3)*(4*l - 1)
Let l(n) be the third derivative of n**5/15 - n**4/6 - 4*n**3 - 208*n**2. Let l(b) = 0. What is b?
-2, 3
Let d(k) be the first derivative of 2*k**3/15 + 47*k**2/5 + 410. Determine r so that d(r) = 0.
-47, 0
Suppose -4*t = -193 - 71. Let o be (2/((-28)/(-21)))/(t/56). Solve -o*m**3 + 6/11*m**4 + 0 + 8/11*m + 0*m**2 = 0.
-2/3, 0, 1, 2
Let i(d) be the third derivative of -1/300*d**6 - 2*d**2 + 7/60*d**4 + 4/15*d**3 + 0 + 1/75*d**5 + 0*d. Determine t so that i(t) = 0.
-1, 4
Suppose 5*b**2 - 5/2*b**3 + 10*b - 20 = 0. Calculate b.
-2, 2
Let 5*i**3 - 38*i**3 + 0 - 198*i + 42*i - 47 - 25 - 114*i**2 - 3*i**4 = 0. Calculate i.
-6, -2, -1
Let z(a) be the third derivative of -a**6/30 + a**5/15 + a**4/6 - 2*a**3/3 + 4*a**2 + 3*a. Find k, given that z(k) = 0.
-1, 1
Let x = -16265 + 16265. Let -3/7*g**3 - 1/7*g**4 + 0*g**2 + x + 0*g = 0. What is g?
-3, 0
Let q(o) be the first derivative of o**6/15 - o**5/5 + o**4/6 - 6*o + 8. Let l(h) be the first derivative of q(h). Factor l(a).
2*a**2*(a - 1)**2
Let y = 33 + -32. Let c be ((-18)/(-24))/(y/4). Factor 16*u + 50/3*u**c + 8/3 + 30*u**2.
2*(u + 1)*(5*u + 2)**2/3
Let j(w) be the second derivative of -w**9/3528 + w**8/2352 + w**7/5880 + 13*w**3/6 + 2*w. Let a(z) be the second derivative of j(z). Factor a(s).
-s**3*(s - 1)*(6*s + 1)/7
Let j = -11 - 0. Let p = -7 - j. Let 2*f + p*f - f**2 - 4*f = 0. What is f?
0, 2
Suppose 12*n - 55/3*n**4 - 51*n**3 - 70/3*n**2 + 8/3 = 0. What is n?
-2, -1, -2/11, 2/5
Let w = -1/512 - -2063/7680. Let a(k) be the third derivative of 0 - 1/84*k**8 + 0*k - 8/105*k**7 - 1/5*k**6 - w*k**5 + k**2 - 1/6*k**4 + 0*k**3. Factor a(u).
-4*u*(u + 1)**4
Let f(r) = 2*r**5 + 16*r**4 + 32*r**3 + 2*r**2 - 2*r - 4. Let s(k) = -2*k**5 - 16*k**4 - 32*k**3 - 3*k**2 + 3*k + 6. Let u(b) = -3*f(b) - 2*s(b). Factor u(t).
-2*t**3*(t + 4)**2
Let j = -3/53 + 121/265. Determine t so that j + 4/5*t + 2/5*t**2 = 0.
-1
Let v = 7 - 7. Suppose -j = -v*j - 3. Factor -3 + 0 + 9*r - 9*r**2 - 5 + 3*r**j + 5.
3*(r - 1)**3
Let p(u) be the second derivative of -u**5/20 + u**3/6 + 39*u + 2. Determine m so that p(m) = 0.
-1, 0, 1
Suppose -32/5 - 24/5*u + 4/5*u**3 + 12/5*u**2 = 0. What is u?
-4, -1, 2
Suppose -109*c + 227*c = 108*c. Factor c - 21/5*g**2 + 3/5*g.
-3*g*(7*g - 1)/5
Let c(f) be the third derivative of 0*f**4 + 0*f + 0 + 14*f**2 + 1/80*f**5 - 1/8*f**3. Factor c(b).
3*(b - 1)*(b + 1)/4
Let w(q) = -3*q**2 + 4*q. Suppose -5*o - 3 = -48. Let f(m) = -13*m**2 + 17*m. Let t(c) = o*w(c) - 2*f(c). Factor t(j).
-j*(j - 2)
Let g be 28/36 - 2/(-9). Suppose 4*x = -3*n, 5*x - n - g = 6*x. Suppose 1/3*j**3 - 2*j**2 + 0 + x*j = 0. Calculate j.
0, 3
Suppose l + 160 = -4*p + 150, -3*l = -4*p - 18. Let h = 11 - 11. Find f, given that -1/2*f + h + 5/4*f**4 + 2*f**3 + 1/4*f**l = 0.
-1, 0, 2/5
Suppose 2*u = 0, d + 3*d = -3*u + 20. Let m(c) be the second derivative of 0 + d*c - 2/3*c**2 + 1/18*c**4 - 1/9*c**3. Factor m(h).
2*(h - 2)*(h + 1)/3
Let p(y) = y - 2. Let u be p(0). Let w(g) = -g**3 + 2*g**2 - g. Let k(r) = -r**2 + r. Let x(d) = u*w(d) - 6*k(d). Find v, given that x(v) = 0.
-2, 0, 1
Suppose 4*l**3 - 47*l + 6 + 2 - 12*l**2 + 4*l**4 + 43*l = 0. Calculate l.
-2, -1, 1
Let b(h) be the second derivative of -2*h**7/21 + 38*h**6/5 - 939*h**5/5 + 3527*h**4/3 - 1040*h**3 - 12168*h**2 - 826*h. Suppose b(o) = 0. What is o?
-1, 3, 26
Let j be (-13)/(-39) + 2/3. Let o(w) = -w**2 - 5*w. Let t be o(-4). Solve 0 + j - t + 3*q**2 = 0.
-1, 1
Let q = -183/299 - -53/23. Let j = q + -75/52. Let 0*r - 1/4*r**4 + 0 + 1/2*r**2 - j*r**3 = 0. Calculate r.
-2, 0, 1
Let d(o) be the third derivative of -o**8/504 - o**7/105 - o**6/90 - 78*o**2. Let d(k) = 0. Calculate k.
-2, -1, 0
Find d, given that 15*d**2 - 24*d - 20 + d**2 + 14*d**3 + 4*d**4 + 25*d**3 - 15*d**3 = 0.
-5, -1, 1
Suppose 0 = 7*j - 12 - 9. Suppose -18 = -3*h + 4*m, -h + j*m + 3 = -4*h. Solve 4/7*q + 0 + 22/7*q**h + 18/7*q**3 = 0 for q.
-1, -2/9, 0
Let u(m) be the second derivative of 0*m**3 + m + 11/72*m**4 + 0 - 1/3*m**2 + 1/90*m**6 + 3/40*m**5. Factor u(x).
(x + 1)*(x + 2)**2*(2*x - 1)/6
Let -1/4*c**3 + 9/4*c**2 - 15/4*c + 7/4 = 0. Calculate c.
1, 7
Factor 115*q - 2*q**2 - 134*q + 3*q**2.
q*(q - 19)
Suppose 0 = -8*r - 3*d + 9, 3*r + 22*d + 11 = 18*d. Find y, given that 3/4*y**5 - 9/4*y**2 + 9/4*y**4 + 0*y - 3/4*y**r + 0 = 0.
-3, -1, 0, 1
Let p(s) be the second derivative of -s**10/120960 + s**9/20160 - s**8/13440 - 5*s**4/4 + 27*s. Let x(c) be the third derivative of p(c). Solve x(h) = 0.
0, 1, 2
Let g = 52 - 62. Let x be (g/(-45))/(10/(-6) + 2). Suppose -x*a**3 + 0 + 1/3*a**4 + 1/3*a**2 + 0*a = 0. Calculate a.
0, 1
Let q(n) be the second derivative of -n**5/20 + n**4/6 + 5*n**3/6 + n**2 - n. Let g(a) = -3*a**3 + 5*a**2 + 14*a + 6. Let j(f) = -4*g(f) + 11*q(f). Factor j(r).
(r - 1)*(r + 1)*(r + 2)
Let u be 3 + (9 - 5) + -5. Let -114*q**2 - 15*q**3 + 15*q + 226*q**u - 117*q**2 + 5*q**4 = 0. Calculate q.
-1, 0, 1, 3
Let d(n) = -39*n + 156. Let m be d(4). Factor -3/2*y**2 + 0*y - 9/4*y**3 + m - 3/4*y**4.
-3*y**2*(y + 1)*(y + 2)/4
Suppose 0 = 7*z - 15 + 1. Let w be z*(-8)/(200/(-15)). Determine f so that -3/5*f**5 - 3/5*f**3 + w*f**4 + 0*f + 0 + 0*f**2 = 0.
0, 1
