erivative of 13 + 2/3*n**3 - n**2 - 2*n + 1/2*n**y. What is a in r(a) = 0?
-1, 1
Let n(k) be the first derivative of -2/33*k**3 + 2/11*k**2 + 16 + 16/11*k. Suppose n(v) = 0. What is v?
-2, 4
Suppose -17 = -2*u + 35. Let v be 3*(-22)/u - -3. Let 2/13*f**5 - 2/13*f**3 + 0 + 0*f - 6/13*f**2 + v*f**4 = 0. What is f?
-3, -1, 0, 1
Let i be (-225)/(-27) + (-6 - -1) + (181 - 184). Factor 14/3*t**2 + 0 - 19/3*t**3 + 4/3*t**4 + 0*t + i*t**5.
t**2*(t - 2)*(t - 1)*(t + 7)/3
Let f = 297368 + -2378929/8. Factor -f*j**2 + 369/8*j + 75/4.
-3*(j - 25)*(5*j + 2)/8
Let l = 438934 - 438932. Factor -1/4*o**l + 7*o + 29/4.
-(o - 29)*(o + 1)/4
Let r(k) = 1191*k + 19058. Let a be r(-16). Factor 2/15*b**a + 14/15*b + 4/3.
2*(b + 2)*(b + 5)/15
Let k be 0 + (-8 - -173)*-1. Let h be (k/(-63) + -1)/((-51)/(-476)). Solve 16/9*x - 26*x**4 + h*x**2 + 0 - 18*x**5 + 244/9*x**3 = 0.
-2, -2/9, 0, 1
Let i = -169763 + 509459/3. Determine r so that i + 5/3*r**2 + 95/3*r = 0.
-17, -2
Let h be (-6)/(-45) - ((-578)/30 + 13). Factor -36/5 + 4/5*r**2 + h*r.
4*(r - 1)*(r + 9)/5
Determine y so that -61/5*y**3 - 156*y + 958/5*y**2 - 360 + 1/5*y**4 = 0.
-1, 2, 30
Let b(w) be the second derivative of -w**6/10 - 1584*w**5/5 - 1115135*w**4/4 + 1056*w**3 + 1672704*w**2 + 6413*w. Let b(f) = 0. Calculate f.
-1056, -1, 1
Let w(y) be the first derivative of -y**5 - 15*y**4/4 + 320*y**3/3 - 150*y**2 - 1883. Factor w(z).
-5*z*(z - 6)*(z - 1)*(z + 10)
Let s be 581/(-1170) - (-1)/1*1. Let g = -2/585 + s. Suppose 2/3*w**4 + 0*w + 0 + 0*w**2 + 2/3*w**3 - g*w**5 = 0. What is w?
-2/3, 0, 2
Let u(o) be the first derivative of -1/25*o**5 + 4*o - 17/20*o**4 - 19/15*o**3 + 1/30*o**6 + 8/5*o**2 + 93. Let u(i) = 0. What is i?
-2, -1, 1, 5
Let f(d) be the second derivative of -5*d - 1/15*d**6 - 5/2*d**4 + 7/10*d**5 + 13/3*d**3 - 4*d**2 + 4. Factor f(v).
-2*(v - 4)*(v - 1)**3
Suppose 5*j - 42 = -2*v + 5*v, 70 = -5*v - 3*j. Let l be (132/198)/(v/(-30)). Factor l*c**3 + 2/7*c**4 + 8/7*c + 0 + 16/7*c**2.
2*c*(c + 1)*(c + 2)**2/7
Let s be ((-57)/6 + 5)*58/(-1827)*14. Solve -9/10*q + 9/5 - 1/2*q**s + 1/5*q**3 = 0.
-2, 3/2, 3
Let i be 28*(-95)/7315 + 9/462*26. Find q, given that 0*q**4 - 15/7*q - 10/7*q**3 - 4/7 + i*q**5 - 20/7*q**2 = 0.
-1, 4
Let l be ((-130)/1040)/((-20)/16)*(-10)/(-3). Factor -l*n**3 + 4/3*n + 0 + n**2.
-n*(n - 4)*(n + 1)/3
Let w(k) = 11*k**3 - 33*k**2 + 13*k - 1. Let r(q) = -12*q**3 + 32*q**2 - 12*q. Let b = 78 + -83. Let g(l) = b*r(l) - 4*w(l). Determine f, given that g(f) = 0.
-1/4, 1
Factor -2/13*u**5 + 0 + 4/13*u**4 + 0*u + 70/13*u**3 + 0*u**2.
-2*u**3*(u - 7)*(u + 5)/13
Let u be (35720/1786)/(0 - -10). Factor -4/3*b + 0 + 2*b**u.
2*b*(3*b - 2)/3
Let b(i) be the third derivative of 6*i**7/175 - 73*i**6/300 + 29*i**5/75 - i**4/20 - 28*i**2 + i - 7. What is d in b(d) = 0?
0, 1/18, 1, 3
Let a be 6 - ((-5698)/(-132) - 38). Factor f + 0 - 13/6*f**2 - a*f**3.
-f*(f + 3)*(5*f - 2)/6
Let f(l) be the first derivative of l**4/48 - 23*l**3/4 + 4761*l**2/8 + 160*l + 95. Let g(d) be the first derivative of f(d). Factor g(m).
(m - 69)**2/4
Let i(a) be the third derivative of a**7/945 - 4*a**6/135 + 13*a**5/270 + 5*a**4/18 - 721*a**2. Factor i(u).
2*u*(u - 15)*(u - 2)*(u + 1)/9
Let a = 194939/1364671 + 2/194953. Factor -a*d + 2/7 - 1/7*d**2.
-(d - 1)*(d + 2)/7
Suppose -3*n + 5*t - 4 = 0, -66*t = 4*n - 61*t - 18. Let z(j) be the first derivative of -4/3*j**n - 4/3*j - 15 - 1/12*j**4 - 5/9*j**3. Factor z(x).
-(x + 1)*(x + 2)**2/3
Factor 404/7 + 2/7*b**2 + 206/7*b.
2*(b + 2)*(b + 101)/7
Factor -473*z - 12*z**2 - 148*z**2 + 518*z**3 - 314 - 519*z**3.
-(z + 1)*(z + 2)*(z + 157)
Let w(b) be the first derivative of -b**6/60 - 3*b**5/40 + b**4/6 + 32*b + 7. Let v(j) be the first derivative of w(j). What is r in v(r) = 0?
-4, 0, 1
Let q(u) = u**3 - 2*u**2 + 52. Let o be q(0). Let r be o/5 + (-14 - -6). Factor 6/5*v**3 + 0 - 3/5*v**4 + r*v**2 - 24/5*v.
-3*v*(v - 2)**2*(v + 2)/5
Let s(o) be the third derivative of -o**8/252 - o**7/63 - o**6/45 - o**5/90 - 638*o**2. Factor s(m).
-2*m**2*(m + 1)**2*(2*m + 1)/3
Suppose -21 = 3*q, -5*t + 2*q - 16457 + 16486 = 0. Let 16/21 + 2/21*i**t + 4/7*i**2 + 8/7*i = 0. What is i?
-2
Suppose 5*m - 8 - 52 = 0. Factor -6 + 28*w - 15*w - m*w + 3*w**5 + 14*w**2 - 2*w**3 - 2*w**5 - 1 - 7*w**4.
(w - 7)*(w - 1)**2*(w + 1)**2
Let t be (3/(6/(-10)))/((-2645363)/(-60123) - 44) - -9. Factor t + 3/2*s**2 + 192*s.
3*(s + 64)**2/2
Solve 4*l - 74*l**4 + 4*l**5 - 7*l**4 + 24903*l**3 + 9*l**4 + 144*l**2 - 24911*l**3 - 72 = 0.
-1, 1, 18
Let j = -50 - -23. Let m = -23 - j. Factor 7*i**3 - 48*i**2 - 4*i**3 - 11*i**3 - 56*i + m*i**4 - 20.
4*(i - 5)*(i + 1)**3
Let c(z) = -z**3 + 17*z**2 - 70*z + 4. Let u be c(7). Let w be (51 - 49)*6/u. Factor -1/3*v - 8/3*v**w + 0 + 11/6*v**2 + 7/6*v**4.
v*(v - 1)**2*(7*v - 2)/6
Let c(l) be the third derivative of l**7/7560 + l**6/360 + l**5/72 + 7*l**4 - 146*l**2. Let j(f) be the second derivative of c(f). Factor j(o).
(o + 1)*(o + 5)/3
Suppose -2*f = -2*y, -5*f = -3*y - 3*f + 3. Suppose -8*k + y*k = -20. Factor 3*v**3 - 4*v**4 - 4*v**4 - 3*v**k + 2*v**4.
-3*v**3*(3*v - 1)
Let i(d) be the third derivative of -1/600*d**6 - 2 - 1/15*d**3 - 1/75*d**5 + 0*d + 23*d**2 - 1/24*d**4. Factor i(c).
-(c + 1)**2*(c + 2)/5
Let u be (2 - 6)*-1 + -2. Suppose -45*v = -1011 + 876. Determine b so that 1/7*b**v + 1/7*b**u + 0 - 2/7*b = 0.
-2, 0, 1
Let d = 145 - -138. Factor -d*h**2 + 565*h**2 + h - 8*h - 276*h**2.
h*(6*h - 7)
Let r(i) be the third derivative of i**5/480 + 9*i**4/32 + 25*i**3/6 - 1247*i**2. Factor r(x).
(x + 4)*(x + 50)/8
Determine z so that 252/5 + 2/5*z**3 - 2/5*z**4 + 14*z**2 - 258/5*z = 0.
-7, 2, 3
Let u be 85/25 - 9/(-15). Let -4*o + 4 - 15*o**2 + 6*o**u + 2*o**4 + 0*o**3 + 4*o**3 + 3*o**2 = 0. Calculate o.
-1, 1/2, 1
Let d = 897 + -860. What is w in 130*w + 4*w**3 - 36*w - 29*w - 9*w**2 - 23*w**2 - d*w = 0?
0, 1, 7
Let c = -15/58729 - -58849/469832. Solve -7/8*o + 11/2 - c*o**2 = 0 for o.
-11, 4
Let f be (6/(-5))/(10/(-2925)*3). Factor -f*w**2 - 123*w**2 - 48*w + 44 + 244*w**2.
4*(w - 11)*(w - 1)
Let r(u) be the second derivative of -u**4/24 + 64*u**3/3 - 4096*u**2 + 575*u + 1. Suppose r(j) = 0. Calculate j.
128
Let c(d) be the second derivative of 4*d**2 - 1/5*d**5 - d**4 - 175*d + 2/3*d**3 + 2/15*d**6 + 0. Determine q, given that c(q) = 0.
-1, 1, 2
Suppose -234*k - 252*k + 216 + 256 = -500. Suppose -15 + 123/2*b + 21/8*b**3 - 129/4*b**k = 0. What is b?
2/7, 2, 10
Let i = -3/204472 - -1533543/204472. Determine d, given that -35/2*d - i*d**5 + 0 - 135*d**3 + 90*d**2 + 70*d**4 = 0.
0, 1/3, 1, 7
Let u(x) be the second derivative of -3*x**5/140 - 3*x**4/7 + 117*x**3/2 - 9633*x**2/7 + 6956*x. Find k such that u(k) = 0.
-38, 13
Let i be 2*(-5)/15 - 8*(-4)/12. Let a(y) be the second derivative of 1/10*y**6 - 3/5*y**5 + 5/4*y**4 + 0*y**i + 0 - y**3 - 2*y. What is l in a(l) = 0?
0, 1, 2
Let l(g) be the first derivative of -1/90*g**5 + 0*g**3 + 0*g - 13 + 1/12*g**4 - 15/2*g**2. Let z(n) be the second derivative of l(n). Solve z(s) = 0.
0, 3
Find n such that 11/10*n**3 - 1/10*n**5 + 4/5 - 1/10*n**4 + 29/10*n**2 + 13/5*n = 0.
-2, -1, 4
Let z(r) = -r**2 + 14*r - 30. Let j be z(3). Suppose -6*x - j*x = 5*x. Factor 14/11*b**3 + x*b - 4/11*b**2 + 0.
2*b**2*(7*b - 2)/11
Suppose -11 = -3*n - c, -4*n + 2*n - 5*c = 10. Let q(z) be the first derivative of -n*z**2 - 27*z - 6 - z**3 + 27*z**2 - 13*z**2. Find k, given that q(k) = 0.
3
Let h be -2 + 6 - (23 + -1). Let x(m) = 22*m**3 + 18*m**2 + 6*m + 2. Let w(i) = 89*i**3 + 72*i**2 + 25*i + 9. Let p(q) = h*x(q) + 4*w(q). Factor p(d).
-4*d*(2*d + 1)*(5*d + 2)
Suppose -9 = 4*g + 19. Let d be ((-6)/g)/(4/(-6 + 62)). Factor 5*s**5 - 12*s**3 + 3*s**4 + s**5 - d*s**2 - 3*s**5.
3*s**2*(s - 2)*(s + 1)*(s + 2)
Let k(y) be the second derivative of 2*y**6/105 - y**5/35 - 34*y**4/21 - 16*y**3/3 - 18*y + 38. Factor k(b).
4*b*(b - 7)*(b + 2)*(b + 4)/7
Let l(n) = 20*n**2 + 6*n - 120. Let y = 9 - -43. Let i(w) = -29*w**2 - w - 27*w**2 + y*w**2 + 1 + 23. Let d(v) = 14*i(v) + 3*l(v). Factor d(x).
4*(x - 2)*(x + 3)
Suppose t + 6 = -2*t - 4*r, 4*t - 4*r = 20. Suppose -4*f + 41 = 4*s - 3*s, -t*s + 5*f = -43. Suppose -27*a**2 + 54*a**2 - s*a**2 + 6 + 4*a = 0. Calculate a.
-1, 3
Let a = -13948/9 - -1550. Suppose 0 - 2/9*s + 2/9*s**2 - a*s**4 + 2/9*s**3 = 0. What