= 6*c(f) + 5*i(f). Factor z(n).
2*(n + 1)*(n + 3)**2
Let d(r) be the first derivative of 2*r**3/51 - 3*r**2/17 - 140*r/17 - 1867. Factor d(x).
2*(x - 10)*(x + 7)/17
Let a(h) be the second derivative of 87/80*h**6 + 0*h**3 + 0*h**2 - 1/112*h**7 - 121/2*h**4 + 264*h + 0 - 693/20*h**5. Solve a(v) = 0.
-1, 0, 44
Factor -6/5 - 8/5*y - 2/5*y**2.
-2*(y + 1)*(y + 3)/5
Suppose -56 + 307*v - 21 + 43*v**2 + 36*v**2 - 115*v**2 + 40*v**2 = 0. What is v?
-77, 1/4
Let o(g) be the second derivative of -6/5*g**5 + 0 - 24*g**2 + 11*g**3 - 44*g + 3/4*g**4 - 1/10*g**6. Factor o(p).
-3*(p - 1)**2*(p + 2)*(p + 8)
Factor 39*f**2 - 14/3 - 73/3*f.
(9*f - 7)*(13*f + 2)/3
Let g(n) be the first derivative of -n**5/15 + 37*n**4/12 + 9*n**3 - 39*n**2/2 + 1868. What is x in g(x) = 0?
-3, 0, 1, 39
Let a be (-14)/210 + (-3)/(-45). Suppose 3*q - 8 = -f - 2*q, f - 2 = q. Solve -2/9*d + a + 0*d**f + 4/9*d**2 + 2/9*d**5 - 4/9*d**4 = 0.
-1, 0, 1
Let n be (3/5)/3 + (-26352)/2160. Let z be -9 - (n/60 - 9). Factor 0 - z*h**4 + 4/5*h**3 + 2/5*h - h**2.
-h*(h - 2)*(h - 1)**2/5
Let w(d) be the second derivative of 0 + 19/4*d**4 - 60*d**2 - 11*d**3 - 120*d + 3/20*d**5. Factor w(v).
3*(v - 2)*(v + 1)*(v + 20)
Let m = -23 - -31. Suppose -m*t - 7 = -23. Determine b so that -3*b**2 - t*b**2 - 527*b + 547*b = 0.
0, 4
Determine w, given that 77284/13 - 117038/13*w - 562/13*w**3 + 2/13*w**4 + 40314/13*w**2 = 0.
1, 2, 139
Let o(q) be the second derivative of q**6/10 - 63*q**5/10 + 155*q**4/4 - 57*q**3 - 2385*q. Factor o(z).
3*z*(z - 38)*(z - 3)*(z - 1)
Let c(y) be the third derivative of y**7/2520 - y**6/720 - y**5/60 + 83*y**4/8 + 8*y**2. Let r(i) be the second derivative of c(i). Factor r(t).
(t - 2)*(t + 1)
Let f(n) be the first derivative of -1/30*n**4 + 20 - 3*n - 2/5*n**3 - 9/5*n**2. Let q(t) be the first derivative of f(t). Suppose q(r) = 0. What is r?
-3
Suppose -2*i + 28 = q - 67, 303 = 3*q - 3*i. Let n be 24/9*q/12. Find t, given that 2 + 2 - n*t - 288*t**2 + 306*t**2 = 0.
2/9, 1
Suppose 14/3*i**3 + 32/3*i + 0 + 116/3*i**2 = 0. Calculate i.
-8, -2/7, 0
Suppose -4*q + 73 + 135 = 0. Suppose -56*s = -q*s - 12. Factor 4*l**3 + l**s + 47*l - 862 + 25*l**2 - 7*l + 882.
5*(l + 1)*(l + 2)**2
Suppose 0 = -q + 3*a + 210, 0*a + a = 1. Let r = 213 - q. Find z, given that -3/4*z**2 + r + 9/4*z = 0.
0, 3
Suppose 2*w = -4*d + 18, -5*w + 16 = 3*d - 4*w. Suppose 6*h - 11 = d. Factor -k - 54 + 2*k**h - k**5 + 54.
-k*(k - 1)**2*(k + 1)**2
Let r(l) be the first derivative of l**3/9 + 354*l**2 + 375948*l + 2377. Find d, given that r(d) = 0.
-1062
Let z = 199508 - 199506. Factor 1/3*s**4 + 2/3*s**z - 25 + 8/3*s**3 - 80/3*s.
(s - 3)*(s + 1)*(s + 5)**2/3
Let t = 275/41 + -784/123. Let g(i) be the second derivative of -5/6*i**4 + 1/5*i**5 + 2*i**2 + t*i**3 + 31*i + 0. Solve g(j) = 0 for j.
-1/2, 1, 2
Let k be (-7)/((-2205)/406) + ((-310)/25 - -12). Determine m, given that 4/9*m**2 - k - 4/9*m = 0.
-1, 2
Suppose 239 = 3*c - 2*r, c + 4*c - 5*r = 405. Factor -4*m**3 - 39*m + 70*m + 112*m**2 + 0*m + 8*m + c*m.
-4*m*(m - 29)*(m + 1)
Let a(s) be the second derivative of -s**6/10 - 5*s**5/12 - 7*s**4/12 - s**3/6 + s**2/3 - s + 242. Factor a(c).
-(c + 1)**3*(9*c - 2)/3
Factor 19/2*j + 1/2*j**4 - 19/2*j**3 + 0 - 1/2*j**2.
j*(j - 19)*(j - 1)*(j + 1)/2
Let m = -693847 - -693852. Find w such that -2/15*w + 0 - 2/5*w**3 - 2/3*w**4 + 2/3*w**2 + 8/15*w**m = 0.
-1, 0, 1/4, 1
Let 416/9*u**4 - 8/3 + 50/3*u**3 - 176/9*u - 98/3*u**2 - 8*u**5 = 0. Calculate u.
-1/2, -2/9, 1, 6
Let v(u) = -4*u + 22. Let j be (-3)/2*((-10)/3)/1. Let t be v(j). Determine g so that 14*g + g**2 + 6*g**t - 9*g + 3*g**2 + 5*g**3 = 0.
-1, 0
Let c(x) be the third derivative of x**8/1680 - x**7/42 - x**6/75 + 2*x**5/3 + 2*x**4/15 - 40*x**3/3 - 1430*x**2. Find t, given that c(t) = 0.
-2, 2, 25
Let z(q) be the first derivative of 67*q**4/9 + 148*q**3/3 - 632*q**2/3 + 112*q/9 + 5232. Find r, given that z(r) = 0.
-7, 2/67, 2
Let c(z) be the second derivative of -z**4/42 + 103*z**3/21 + 428*z**2/7 - 3*z + 98. Factor c(a).
-2*(a - 107)*(a + 4)/7
Let u(b) be the second derivative of 13/2*b**3 + 4*b - 1/42*b**7 - 5/3*b**4 - 7/10*b**5 + 4/15*b**6 - 12 + 18*b**2. Let u(k) = 0. What is k?
-1, 3, 4
Factor 0 + 3/7*g**3 + 123/7*g + 18*g**2.
3*g*(g + 1)*(g + 41)/7
Let f(g) = g**3 + 2*g**2 - 28*g - 53. Let t be f(-2). Let h be 1/(2 - 3)*-3. Factor y**h - 3*y**t + 26*y + 4*y**2 - 26*y.
-2*y**2*(y - 2)
Factor -1/3*z**2 - 980/3*z - 240100/3.
-(z + 490)**2/3
Let 128 + 169/2*k**4 - 768*k + 624*k**3 + 944*k**2 = 0. Calculate k.
-4, 4/13
Solve 57/7*v**4 + 828/7*v + 108/7 + 408/7*v**3 + 975/7*v**2 = 0 for v.
-3, -2, -3/19
Let g(y) be the first derivative of 60 - 1/3*y**3 + 9*y**2 + 0*y. Factor g(u).
-u*(u - 18)
Let q(z) be the first derivative of -z**8/3360 + z**6/240 - z**5/120 + z**3/3 + 5*z**2/2 - 83. Let d(i) be the third derivative of q(i). Factor d(s).
-s*(s - 1)**2*(s + 2)/2
Let j(t) be the first derivative of -t**4/72 - 11*t**3/18 - 7*t**2/4 + 127*t - 125. Let l(s) be the first derivative of j(s). Solve l(c) = 0 for c.
-21, -1
Let h(f) be the third derivative of f**7/210 - f**6/60 - 19*f**5/60 + 5*f**4/6 + 7*f**2 + 7*f. Solve h(p) = 0 for p.
-4, 0, 1, 5
Let i(l) be the second derivative of 3/70*l**5 + 11/21*l**4 + 36/7*l**2 - 3 + 17/7*l**3 + 8*l. Factor i(s).
2*(s + 3)**2*(3*s + 4)/7
Let 0*i + 114*i - 9 + 4*i**4 + 75*i**3 - 4*i**5 + 105*i**3 - i**4 - 26*i**5 - 258*i**2 = 0. What is i?
-3, 1/10, 1
Factor -745437 + 1415*j**2 + 434*j**3 + 521*j**3 + 470*j + 745437 + 10*j**4.
5*j*(j + 1)*(j + 94)*(2*j + 1)
Let i(g) = g - 21. Let x be i(24). Suppose 7*t - 32 = x*t. Determine j, given that 8 - 25*j**2 + 23*j**2 - t*j + 14*j = 0.
-1, 4
Let 570 + 3*j**2 - 9*j**2 + 510*j + 14*j**2 - 65 - 3*j**2 = 0. What is j?
-101, -1
Let a(z) = z**2 - 13*z - 66. Let j be a(17). Let d = 21 - 15. Determine q, given that 5*q**4 - 9*q**2 + j*q + q**5 + 12*q**2 + 4*q**2 + 3*q**3 + d*q**3 = 0.
-2, -1, 0
Suppose 4*r - 14 = -2*q, -12 = -5*r - 2*q + 5. Let x be (-1)/(12/(-9) + 1). Factor -u**3 + 3*u**3 + x*u**2 + 3*u**4 + 4*u**r.
3*u**2*(u + 1)**2
Let c(q) = 5*q**3 - q**2 + 16*q + 26. Let v be c(-4). Let h = 1132/3 + v. Suppose -1/3*k**2 - 25/3 + h*k = 0. What is k?
5
Let p(b) be the first derivative of -b**5/5 - 127*b**4/20 - 110*b**3/3 - 20*b**2 + 5395. Suppose p(x) = 0. Calculate x.
-20, -5, -2/5, 0
Let x(n) be the first derivative of 0*n + 186 + 9/2*n**4 + 0*n**2 + 1/3*n**6 + 12/5*n**5 + 8/3*n**3. What is j in x(j) = 0?
-4, -1, 0
Let g(r) be the first derivative of 10*r**3/3 - 71*r**2/5 - 24*r/5 - 7121. Find n, given that g(n) = 0.
-4/25, 3
Factor -3*l**2 + 77*l + 165*l - 2057 + 7833 + 7*l**2 + 62*l.
4*(l + 38)**2
Let r be (-32)/24 + (30 - (-1288)/(-60)). What is l in -34/5*l + r - 2/5*l**2 = 0?
-18, 1
What is s in -767/2*s - 153 - 1/2*s**4 - 157/2*s**3 - 617/2*s**2 = 0?
-153, -2, -1
Find o, given that 170*o**2 + 5/2*o**5 - 55*o**4 - 110*o - 15/2*o**3 + 0 = 0.
-2, 0, 1, 22
Suppose 339488/3 + 2/3*b**2 - 1648/3*b = 0. Calculate b.
412
Let u be (3*198/54 - (-27846)/(-2610)) + (-4)/(-58). Let t(n) = n**3 - 5*n**2 - 6*n + 3. Let d be t(6). Factor 0 + u*m - 6/5*m**2 + 4/5*m**d.
2*m*(m - 1)*(2*m - 1)/5
Let r(n) be the third derivative of 0*n**4 + 0*n**6 + 0*n**3 + n**2 + 1/945*n**7 - 2/135*n**5 + 0*n - 9. Find o, given that r(o) = 0.
-2, 0, 2
Let i(s) be the first derivative of -2/3*s**2 - 1/15*s**5 + 5/9*s**3 + 18 + 13*s - 1/18*s**4. Let c(d) be the first derivative of i(d). Solve c(n) = 0.
-2, 1/2, 1
Let f be (-6)/12 - (-14676)/(-8). Let q = f - -9178/5. Let -q*v**4 - 3/5 + 0*v**3 + 6/5*v**2 + 0*v = 0. Calculate v.
-1, 1
Let w(c) be the first derivative of 78 + 1/12*c**4 + 0*c + 2/9*c**3 - 4/3*c**2. Factor w(m).
m*(m - 2)*(m + 4)/3
What is o in 23/2*o**3 - 1/2*o**4 + 121/2*o + 0 - 143/2*o**2 = 0?
0, 1, 11
Let f(n) = -4*n**4 - 84*n**3 - 672*n**2 - 1008*n - 160. Let s(q) = -q**3 - 2*q**2 - 2*q + 10. Let b(k) = -f(k) - 16*s(k). Factor b(u).
4*u*(u + 2)*(u + 10)*(u + 13)
Let h be (-9911)/(-44)*1 + (-2 - 1). Let i = h + -222. Determine o, given that i*o**2 + 0 + 1/4*o**4 + 1/2*o**3 + 0*o = 0.
-1, 0
Let i(m) be the third derivative of -m**7/210 + 121*m**6/120 - 82*m**5 + 8600*m**4/3 - 32000*m**3/3 + 491*m**2. Factor i(o).
-(o - 40)**3*(o - 1)
Let q(p) be the first derivative of -3 + 1/3*p**6 - 6*p**2 - 14/3