 be the third derivative of r**7/42 - r**6/2 + 5*r**5/2 - 35*r**4/6 + 15*r**3/2 + 26*r**2 - 3*r - 1. Factor j(p).
5*(p - 9)*(p - 1)**3
Factor 54/7*n + 2/7*n**2 - 180/7.
2*(n - 3)*(n + 30)/7
Let f(k) be the first derivative of 5*k**3/9 + 500*k**2/3 - 2020*k/3 + 779. Factor f(i).
5*(i - 2)*(i + 202)/3
Let g = 238 - 172. Suppose -14*j = -47*j + g. Factor 12/7*f + 9/7 + 3/7*f**j.
3*(f + 1)*(f + 3)/7
Factor 0*q - 2/9*q**3 + 0 - 10/9*q**2.
-2*q**2*(q + 5)/9
Suppose -4*p + 30 = 2*w, 3*p + 10 = p. Let g(l) = -3*l + 78. Let j be g(w). Solve -16/3*d + 0 - 4/3*d**4 - 8/3*d**j + 28/3*d**2 = 0 for d.
-4, 0, 1
Let s(h) be the second derivative of h**6/180 + h**5/15 - h**4 + 2*h**3 - 3*h**2/2 + 57*h. Let g(i) be the second derivative of s(i). What is k in g(k) = 0?
-6, 2
Let k(x) be the first derivative of 241/15*x**3 - 1/30*x**6 - 104/5*x**2 + 64/5*x - 23/4*x**4 - 77 + 19/25*x**5. What is d in k(d) = 0?
1, 8
Let n(z) = -z**2 + 3*z + 3. Let r be n(3). Suppose x - 10 = r*c + 2, 3*x = -2*c + 3. Factor -24*y**2 + 54*y - 38*y - 4 + 0 + 16*y**x - 4*y**4.
-4*(y - 1)**4
Let v(c) = 2*c**3 - 44*c**2 + c - 18. Let q be v(22). Factor -w**q + 4*w**5 - 8*w**4 - 2*w**4 - 20*w**3 - 5*w**4.
4*w**3*(w - 5)*(w + 1)
Let t(n) = -14*n**2 + 2454*n - 8. Let x(u) = -11*u**2 + 2457*u - 6. Let f(c) = -3*t(c) + 4*x(c). What is y in f(y) = 0?
0, 1233
Factor -1/5*b**2 + 2/5*b + 168/5.
-(b - 14)*(b + 12)/5
Solve -1/9*n**2 - 2/9*n + 8/9 = 0 for n.
-4, 2
Suppose -82*x + 78*x + 54 = -3*p, -79 = 4*p - 3*x. Let n be (-38)/(-9) + (p - (-280)/12). Factor -2/9*o**3 - 10/3*o - 2*o**2 + n.
-2*(o - 1)*(o + 5)**2/9
Let b = 7591778/55 + -138024. Let d = 96/11 - b. Suppose d*z**5 + 0 - 2/5*z**3 - 2/5*z**2 + 0*z + 2/5*z**4 = 0. Calculate z.
-1, 0, 1
Let m(z) = -8*z**2 - 29*z - 66. Let a(d) = 13*d**2 + 44*d + 100. Let p(q) = 5*a(q) + 8*m(q). Determine b so that p(b) = 0.
-2, 14
Let 1038/7 - 2/7*x**2 - 148*x = 0. What is x?
-519, 1
Let g(l) = 12*l**2 - 127*l + 307. Let j(i) = 102 - 33*i**2 + 83*i**2 - 42*i - 46*i**2. Let p(n) = -2*g(n) + 7*j(n). Find h, given that p(h) = 0.
5
Suppose 5*t = -3*x + 20, x = -0*t + 4*t - 16. Let o be (-12)/48*(18/45)/(36/(-30)). Solve o*a**3 + 0 - 1/12*a**2 + x*a = 0.
0, 1
Let m = 1660058/3 - 553330. Factor 5/3*i**4 - m*i**2 + 0 + 20/3*i + 43/3*i**3.
i*(i - 1)*(i + 10)*(5*i - 2)/3
Suppose x = 2*p + 16, 4*x + 5*p + 3 = 2. Factor 3 - x + 4 - 3 + 3 - j + j**3 - j**2.
(j - 1)**2*(j + 1)
Suppose -5*x = -2*y - 10, 2*y + 4*x - 24 = 2. Suppose -4*q = -3*v + 7 + 3, -3*v = q - y. Factor -56*u**3 + 55*u**3 + 2 - 4 - 5*u - 4*u**v.
-(u + 1)**2*(u + 2)
Let m(x) = x - 10. Let t be m(12). Let y be 1672/(-190) + (-18)/(-2). Determine a so that -2/5*a**t + 1/5*a + 0 + y*a**3 = 0.
0, 1
Suppose -55 + 32 = -m. Suppose m = 4*q + 5*b, -1 = -5*q - b + 12. Factor 0 + 6/19*a**q - 4/19*a - 2/19*a**3.
-2*a*(a - 2)*(a - 1)/19
Let a be (-1)/((805/69)/(-5)). Determine f, given that 0 - 18/7*f**4 - 39/7*f**3 - a*f**5 - 12/7*f - 36/7*f**2 = 0.
-2, -1, 0
Suppose -2905 = -329*n - 905*n - 437. Suppose -8 + 2/3*i**n + 22/3*i = 0. What is i?
-12, 1
Let k(l) = -12*l**3 - 36*l**2 - 28*l + 2. Let s(u) = -38*u**3 - 109*u**2 - 83*u + 7. Let h(j) = 7*k(j) - 2*s(j). Factor h(n).
-2*n*(n + 3)*(4*n + 5)
Let u(c) be the third derivative of 0 + 91*c**2 + 0*c - 1/300*c**6 + 7/150*c**5 + 0*c**3 - 1/6*c**4. Solve u(j) = 0 for j.
0, 2, 5
Let n(i) be the first derivative of -25*i**4/34 - 10*i**3/51 + 16*i**2/17 - 8*i/17 - 430. Factor n(t).
-2*(t + 1)*(5*t - 2)**2/17
Let k be (-225)/(-135)*27/1965. Let x = 533/393 - k. Factor -x*r**3 - 4/3*r**2 + 0 + 1/3*r**5 + 1/3*r**4 + 0*r.
r**2*(r - 2)*(r + 1)*(r + 2)/3
Let d(u) be the first derivative of -2*u**3 - 10*u + 1/2*u**4 - 13 - 9*u**2. Suppose d(w) = 0. What is w?
-1, 5
Let x(g) be the first derivative of 4*g**5/5 - 4*g**4 - 44*g**3 + 8*g**2 + 128*g + 1246. Let x(i) = 0. Calculate i.
-4, -1, 1, 8
Let l = -172 + 174. Let q(y) be the first derivative of -1 + 0*y + 2/15*y**3 + 13/20*y**4 + 0*y**l. Factor q(n).
n**2*(13*n + 2)/5
Let m = -427/386 + 4837/1930. Factor -18/5 + 53/5*s**3 + m*s + 73/5*s**2 + s**4.
(s + 1)**2*(s + 9)*(5*s - 2)/5
Let m(q) be the first derivative of q**4/26 + 88*q**3/39 + 125*q**2/13 + 164*q/13 - 3261. Determine u so that m(u) = 0.
-41, -2, -1
Let u(j) = -11*j**2 + 495*j + 1061. Let m(s) = s**2 - s - 9. Let g(v) = -18*m(v) - 2*u(v). Factor g(n).
4*(n - 245)*(n + 2)
Let m = 79579/3 - 26523. Factor 34/3*z + m*z**2 + 4.
2*(z + 3)*(5*z + 2)/3
Let z(q) = 3*q**2 - 58*q + 142. Let n(i) = i**2 - 19*i + 50. Let v(u) = 14*n(u) - 4*z(u). Factor v(s).
2*(s - 11)*(s - 6)
Let r(h) be the first derivative of -5*h**4/4 - 2860*h**3/3 - 1938. Let r(d) = 0. Calculate d.
-572, 0
Let s(a) be the second derivative of 1/60*a**5 - 1/18*a**3 - 13/18*a**4 + 0 - 114*a + 13/3*a**2. Factor s(b).
(b - 26)*(b - 1)*(b + 1)/3
Suppose 145*n + 16 - 114 - 185 = 7. Factor 47/7*u - 2/7 - 20*u**n.
-(7*u - 2)*(20*u - 1)/7
Let b(z) be the third derivative of -100/9*z**3 + 0 + 0*z - 1/10*z**5 - 97*z**2 + 5/3*z**4. Find s such that b(s) = 0.
10/3
Suppose 3*s + 17 + 16 = l, 69 = 3*l + s. Suppose 5*j + 49 = 2*z, 14*z - 10*z - 33 = -3*j. Factor 0 - l*w**2 + 0 + 10*w - z*w.
-2*w*(12*w + 1)
Let h = 404312 - 404309. Suppose 7 - 11/3*t - 1/3*t**3 - h*t**2 = 0. What is t?
-7, -3, 1
Suppose 8*t - 2 = 7*t. Let s(z) = 2*z**5 - 6*z**4 - 4*z**3 + 8*z**2. Let h(f) = -3*f**5 + 13*f**4 + 8*f**3 - 18*f**2. Let a(g) = t*h(g) + 5*s(g). Factor a(c).
4*c**2*(c - 1)**2*(c + 1)
Let c(p) be the second derivative of -p**4/30 + 13*p**3/15 - 8*p**2 - 160*p. What is s in c(s) = 0?
5, 8
Let c = -735 - -790. Let u be (-5)/c*53 - (-7 + 2). Determine v so that u - 2/11*v + 2/11*v**3 - 2/11*v**2 = 0.
-1, 1
Let k = 433/5877 + 97/653. Factor -4/3 - 10/9*q + k*q**2.
2*(q - 6)*(q + 1)/9
Suppose -8*d + 14*d**3 - 19*d**3 + 100*d**2 - 53*d + 9*d - 128*d = 0. What is d?
0, 2, 18
Let n(z) be the first derivative of -1/30*z**4 + 0*z + 4*z**2 + 1/50*z**5 + 1/60*z**6 + 13 + 0*z**3. Let x(s) be the second derivative of n(s). Factor x(h).
2*h*(h + 1)*(5*h - 2)/5
Let h(k) be the third derivative of k**6/300 - 19*k**5/150 - 577*k**4/60 + 119*k**3/3 + 10297*k**2. Factor h(l).
2*(l - 35)*(l - 1)*(l + 17)/5
Let c(v) be the first derivative of 5*v**3/3 - 520*v**2 + 54080*v + 401. Determine p, given that c(p) = 0.
104
Let f(k) be the first derivative of 5*k**4/4 - 1625*k**3/3 + 134435*k**2/2 - 388815*k + 20. Factor f(u).
5*(u - 161)**2*(u - 3)
Let a(z) be the third derivative of 109*z + 2*z**2 - 5/6*z**3 - 1/6*z**5 - 5/8*z**4 + 5/336*z**8 + 0 + 1/14*z**7 + 1/12*z**6. Determine g, given that a(g) = 0.
-1, 1
Let f(n) be the second derivative of 7/12*n**4 + 0 + 0*n**2 + 1/6*n**6 - 1/3*n**3 - 9/20*n**5 - 1/42*n**7 + 127*n. Factor f(x).
-x*(x - 2)*(x - 1)**3
Suppose -91*q**4 + 41*q**3 + 87*q**4 + 23*q + q**4 - 102 + 169*q**2 = 0. What is q?
-3, -1, 2/3, 17
Let u(w) = -48*w - 437. Let s be u(-11). Factor 1562*j**2 + 3159*j + 3334*j**2 - s*j**3 + 4*j**4 - 193*j**3 + 2025*j.
4*j*(j - 36)**2*(j + 1)
Let g(u) be the third derivative of u**5/210 - 22*u**4/21 + 910*u**2. Factor g(k).
2*k*(k - 88)/7
Let l(v) be the second derivative of -90*v**2 + 10*v**3 + 0 - 5/12*v**4 - 137*v. Factor l(s).
-5*(s - 6)**2
Let i(h) be the first derivative of -h**3/9 - 151*h**2/3 - 22801*h/3 - 1395. Factor i(d).
-(d + 151)**2/3
Let y be (-18 - (13 + -4))/(8/((-64)/60)). Suppose 0 - y*j + 3/5*j**2 = 0. Calculate j.
0, 6
Factor 899/2 + 897/2*d**2 - 1/2*d**3 + 1797/2*d.
-(d - 899)*(d + 1)**2/2
Let y(n) be the third derivative of -n**5/60 - 769*n**4/6 - 1182722*n**3/3 + n**2 + 199*n + 3. Find v, given that y(v) = 0.
-1538
Let a(c) be the third derivative of -163*c**5/420 + 41*c**4/42 - c**3/42 - 1295*c**2. Factor a(s).
-(s - 1)*(163*s - 1)/7
Suppose 39*s + 3 - 79 = 80. Let b(w) be the second derivative of 10*w + 35/2*w**3 + 75/4*w**2 + 0 + 49/8*w**s. Suppose b(x) = 0. What is x?
-5/7
Let r be (-264)/8*15/(-9). Suppose -97 = -2*w + r. Factor 38*d + 26*d + w*d**2 + 16*d + 9 + 7 - 60*d**3.
-4*(d - 2)*(3*d + 1)*(5*d + 2)
Let b be -26 - (-945)/36 - 28/(-272). Suppose b - 10/17*x**2 - 4/17*x = 0. Calculate x.
-1, 3/5
Suppose -2*s + 30 = 4*o, 6*o + s = o + 30. Determine a, given that -1039*a + 1039*a - 5*a**2 - o*a**3 = 0.
-1, 0
Suppose 0 - 58/15*c**4 + 2/5*c**5 - 98/15*c**3 + 106/15*c**2 + 44