derivative of u(g). Factor c(r).
(r + 1)*(4*r + 5)/4
Let m(f) be the third derivative of -1/9*f**4 + 0*f**3 + 2/945*f**7 + 7/108*f**6 + 8/135*f**5 - 5/1512*f**8 + 13*f**2 + 2*f + 0. What is q in m(q) = 0?
-2, -1, 0, 2/5, 3
Let b be (1168/4380)/((-48)/(-90)). Let t = 91/2 - 44. Factor -i**3 + 3/2*i + t*i**4 - i**2 - b*i**5 - 1/2.
-(i - 1)**4*(i + 1)/2
Let p be ((-1764)/8)/7*(-2)/3. Factor 8*m**2 + 12 + 32*m - p*m**3 + m**4 + 16*m**2 + 21*m**3 - 5*m**4.
-4*(m - 3)*(m + 1)**3
Let y(v) be the first derivative of -2*v**5/35 - 19*v**4/14 - 128*v**3/21 + 12*v**2 - 1197. Determine c so that y(c) = 0.
-14, -6, 0, 1
Let o be -2*13/((-208)/24). Let i(h) be the second derivative of 0*h**2 - 7/15*h**5 - 2/9*h**4 - 15*h + 0*h**o + 0. Suppose i(g) = 0. What is g?
-2/7, 0
Suppose 2*n - 19 = 5*o, 6*n - 94 = -3*o + n. Factor -2/3*l**2 + 2 - 5/3*l + 1/3*l**o.
(l - 3)*(l - 1)*(l + 2)/3
Let y be ((-17)/34)/(1/(-4)). Let t(f) = 7*f**4 + 42*f**3 + 77*f**2 - 42*f - 82. Let n(g) = g**4 + g**3 + g**2 - g - 1. Let r(b) = y*n(b) - t(b). Factor r(d).
-5*(d - 1)*(d + 1)*(d + 4)**2
Factor 13*q - 11*q - 211 + 56*q + 18*q - 219 + 2*q**2.
2*(q - 5)*(q + 43)
Let z(m) be the second derivative of -3/14*m**2 - 1/140*m**5 + 1/28*m**4 + 1 + 1/42*m**3 + m. Factor z(p).
-(p - 3)*(p - 1)*(p + 1)/7
Let v = -874294 + 3497191/4. Solve v*y**2 + 3/4*y**3 - 3/4*y - 15/4 = 0 for y.
-5, -1, 1
Let b(t) be the second derivative of -t**4/78 - 163*t**3/39 - 480*t**2/13 + 60*t + 3. Solve b(q) = 0.
-160, -3
Let f be 34/3*(-216)/(-144). Determine w so that -20 + 155*w - 123*w - 33*w**3 - 125 + w**3 + f + 126*w**2 + 2*w**4 = 0.
-1, 1, 8
Let n be (-8)/(-60)*15*(-3)/((-3)/2). Let 2/9*x**n + 4/9*x**2 + 8/9*x - 2/3 - 8/9*x**3 = 0. What is x?
-1, 1, 3
Let s(n) be the third derivative of -n**8/84 + 8*n**7/105 - 14*n**5/15 + 17*n**4/6 - 4*n**3 + 1413*n**2 + 2*n. Let s(z) = 0. What is z?
-2, 1, 3
Let s(c) be the first derivative of c**6/8 + 111*c**5/20 + 1107*c**4/16 + 1463*c**3/4 + 3495*c**2/4 + 900*c - 3334. Solve s(r) = 0.
-24, -5, -2, -1
Suppose -t = 39*n - 35*n - 526, -3*t - 5*n + 1620 = 0. Factor -250 - 705/2*f**2 - 5/2*f**4 + 55*f**3 + t*f.
-5*(f - 10)**2*(f - 1)**2/2
Factor -2732*v + 669*v**2 - 3*v**4 + 218*v + 576 - 42*v**3 + 1314*v.
-3*(v - 8)*(v - 1)**2*(v + 24)
Factor -40/9 + 16/9*i + 2/9*i**3 + 22/9*i**2.
2*(i - 1)*(i + 2)*(i + 10)/9
Let w(b) = b**3 - 9*b**2 + 2*b - 14. Let y be w(9). Let z be -3 - (42/(-24))/(1/y). Let -20*i**5 - 14*i**4 + 14*i**2 + 15*i**5 - i**z + 6*i**2 = 0. Calculate i.
-2, 0, 1
Let b be 62/341 - (-431)/(-11). Let x = -77/2 - b. Factor 3/2 - n - x*n**2.
-(n - 1)*(n + 3)/2
Let r(n) = -4*n + 143. Let s be r(34). Let c be (-650)/90 + s - 4/(-18). What is y in c + 2/13*y**4 - 2/13*y**2 - 2/13*y + 2/13*y**3 = 0?
-1, 0, 1
Let c(p) = 7*p**3 - 245*p**2 + 1057*p - 207. Let m be c(30). Suppose -2 + 43/3*k**3 + 13/3*k + 53/3*k**2 + m*k**4 = 0. Calculate k.
-3, -1, 2/9
Suppose -5*t = -15, -2*h - 27 = -4*t + 5. Let u = h + 12. What is d in -4*d**4 + 2*d + 2*d**3 + 2*d**2 - 2*d**3 - u*d**3 + 2*d**4 = 0?
-1, 0, 1
Let r(t) = t**3 + 34*t**2 - 39*t - 112. Let n be r(-35). Factor 63*v**4 + 4*v**5 - n*v**4 - 15*v**4.
4*v**4*(v + 5)
Factor 10/3*r**2 + 2536/3*r - 1016/3.
2*(r + 254)*(5*r - 2)/3
Let q(z) be the first derivative of -322 - 4*z**4 - 16*z**2 - 2/5*z**5 - 10*z - 12*z**3. Factor q(u).
-2*(u + 1)**3*(u + 5)
Let g(j) = -11*j**3 + 44*j**2 + 406*j + 341. Let t(s) = -6*s**3 + 21*s**2 + 204*s + 171. Let o(b) = -3*g(b) + 5*t(b). Factor o(i).
3*(i - 14)*(i + 1)*(i + 4)
Suppose 2*v = -0*v - 4. Let b be 35/(-25) - v - 12/(-5). Determine g so that -375*g**5 + 4*g**2 + 0*g**2 + 8*g**4 + 377*g**5 + 10*g**b = 0.
-2, -1, 0
Let g(t) be the first derivative of t**6/30 + t**5/3 + 4*t**4/3 + 8*t**3/3 + 43*t**2/2 + 47. Let w(k) be the second derivative of g(k). Solve w(j) = 0 for j.
-2, -1
What is s in -233/6*s - 25*s**3 + 143/3*s**2 - 1/6*s**5 + 29/6*s**4 + 23/2 = 0?
1, 3, 23
Let j(g) be the second derivative of -17*g**4 - 12*g + 28/3*g**3 + 7/5*g**5 - 2 + 0*g**2. Factor j(m).
4*m*(m - 7)*(7*m - 2)
Let t be (-16)/(-64) + (1 - (-11)/4). Let s be 754/t + (-4)/(-8). Suppose 10*b + 15*b**2 - 6*b**5 + b**5 + s - 5*b**3 - 189 - 15*b**4 = 0. Calculate b.
-2, -1, 0, 1
Let d = -348 - -353. Let g be d/(-75)*6*-1. Factor 6/5*u + g - 8/5*u**2.
-2*(u - 1)*(4*u + 1)/5
Let w = -139 + 141. Suppose 47*o**2 - 39*o**2 + 36*o - o**2 - 40*o**3 - 54 + 8*o**4 + 35*o**w = 0. Calculate o.
-1, 3/2, 3
Let x(v) = 7*v**2 - 4*v - 1. Let y(d) = 3*d**2 - 2*d - 1. Let n be ((-6)/(-2))/(21/14 - 0). Let p(g) = n*x(g) - 5*y(g). Factor p(c).
-(c - 3)*(c + 1)
Let l = -562 - -1277. Let y be 25/15*156/l. Determine j, given that -2/11 + y*j + 2/11*j**4 - 4/11*j**3 + 0*j**2 = 0.
-1, 1
Suppose -121*j - 9 = -124*j. Solve 32*c**4 + 63*c**2 - 20*c**4 + 57*c**3 - j*c**4 + 15*c = 0.
-5, -1, -1/3, 0
Determine m so that 12064*m**3 - 4*m**5 + 24 + 12087*m**3 - 32*m**2 - 20*m - 24127*m**3 + 8*m**4 = 0.
-2, -1, 1, 3
Let a = -221/4224 + 5/66. Let i = 527/640 - a. Solve 0 + 2/5*r**3 + i*r**2 + 2/5*r = 0 for r.
-1, 0
Suppose -13*d + 22*d = 16371. Factor p**4 - 1823*p**3 - 2*p**4 + d*p**3.
-p**3*(p + 4)
Solve -15 - 410/7*a**2 - 198/7*a**3 - 29/7*a**4 + 1/7*a**5 - 347/7*a = 0 for a.
-3, -1, 35
Find i, given that 2/13*i**3 - 6894/13*i - 10368/13 - 1140/13*i**2 = 0.
-3, 576
Let u be 35/21 + 1 + (-2)/(-6). Suppose 5*p + 4*w = 4*p + 18, 9 = u*w. Factor p*v**2 - 30*v**3 + 0 + 50*v**4 - 2/5*v.
2*v*(5*v - 1)**3/5
Let x(s) = -8*s**4 - s**3 + 3*s**2 - 3*s + 3. Let p(h) = -27*h**4 - 3*h**3 + 10*h**2 - 10*h + 10. Let b(k) = -9*p(k) + 30*x(k). Suppose b(y) = 0. Calculate y.
0, 1
Let v(i) be the third derivative of i**6/40 - i**5/20 - 3*i**4/4 + 4*i**2 + 192*i. Factor v(r).
3*r*(r - 3)*(r + 2)
Let -21632/9 - 2/9*r**4 + 200/9*r**3 - 1528/3*r**2 - 20800/9*r = 0. What is r?
-2, 52
Factor 1/5*f**3 + 16/5 + 8/5*f**2 + 4*f.
(f + 2)**2*(f + 4)/5
Let q(i) be the third derivative of i**9/80640 - i**8/5376 + i**7/1680 - 13*i**5/20 - 20*i**2 + 2. Let y(w) be the third derivative of q(w). Solve y(v) = 0.
0, 1, 4
Let x(k) be the third derivative of 5*k**8/1176 - 9*k**7/245 + k**6/60 + k**5/14 + 4927*k**2. Let x(y) = 0. What is y?
-3/5, 0, 1, 5
Let v(i) be the second derivative of -4*i + 0 + 1/12*i**4 + 1/60*i**5 + 1/126*i**7 - 1/30*i**6 + 0*i**2 - 1/9*i**3. Factor v(p).
p*(p - 2)*(p - 1)**2*(p + 1)/3
Let n(v) = -2*v**2 + v - 1. Let g(c) = 2*c**4 + 68*c**3 + 498*c**2 - 1220*c + 644. Let x(b) = g(b) - 4*n(b). Let x(t) = 0. What is t?
-18, 1
Let y(a) be the third derivative of -a**7/420 - 163*a**6/240 - 6721*a**5/120 - 2079*a**4/16 + 2187*a**3/2 - 35*a**2 + 11. Factor y(c).
-(c - 1)*(c + 2)*(c + 81)**2/2
Let j(b) be the second derivative of -b**6/180 - 41*b**5/40 - 427*b**4/8 - 3721*b**3/36 - 273*b. Factor j(r).
-r*(r + 1)*(r + 61)**2/6
Factor 198/5*w + 2/15*w**2 + 236/3.
2*(w + 2)*(w + 295)/15
Let u(b) be the second derivative of -11/105*b**6 - 146/21*b**4 + 43/35*b**5 + 1/294*b**7 - 3*b + 0 - 256/7*b**2 + 64/3*b**3. Factor u(h).
(h - 8)**2*(h - 2)**3/7
Suppose 4*q + 15 + 60 = -3*p, 23 = -q - 5*p. Let a be 68/60 - (-6)/q. Determine x, given that 24/5*x**2 - 6/5*x**5 - a*x**4 + 2/5*x - 4/5 + 4*x**3 = 0.
-1, 1/3, 2
Let l be (1 - 3)/((-6)/10). Let z = 2470628/3 - 1647085/2. Factor z*v**2 + l + 8/3*v - 1/6*v**3.
-(v - 5)*(v + 2)**2/6
Suppose 8*g = -8*g + 20688. Determine h so that 4*h**2 + 598 - g + 587 + 24*h = 0.
-9, 3
Let r = 91903/1102548 + -2/91879. Let q(z) be the third derivative of 25*z**2 + 0 + 5/24*z**4 - r*z**5 + 5/6*z**3 + 0*z - 1/24*z**6. Factor q(x).
-5*(x - 1)*(x + 1)**2
Let d(o) be the second derivative of -o**4/4 - 40*o**3 + 243*o**2/2 + 8*o - 10. Solve d(u) = 0 for u.
-81, 1
Let i(d) = -5*d**4 - 175*d**3 + 170*d**2 + 925*d - 825. Let a(g) = -g**3 + 3*g**2 + g - 1. Let s(p) = -45*a(p) + i(p). Suppose s(n) = 0. Calculate n.
-26, -3, 1, 2
Factor -941/2*l + 1/2*l**2 + 0.
l*(l - 941)/2
Let o(v) be the third derivative of 5*v**8/336 + v**7/3 - 5*v**6/8 - 9*v**2 + 11*v + 6. Factor o(l).
5*l**3*(l - 1)*(l + 15)
Let j(y) be the third derivative of -y**5/210 + 23*y**4/21 - 85*y**3/3 + 2*y**2 - 483*y - 2. Factor j(r).
-2*(r - 85)*(r - 7)/7
Let y(t) be the first derivative of -16/45*t**5 - 3*t**2 + t**4 + 0*t**3 + 0*t + 1/27*t**6 + 94. Factor y(u).
2*u*(u - 3)**3*(u + 1)/9
Suppose -