 - 2)*(7*h + 2)/9
Solve -576/7*v - 48/7*v**3 - 264/7*v**2 - 3/7*v**4 - 432/7 = 0.
-6, -2
Let g(q) be the first derivative of -2 + 22*q + 2/9*q**3 - 34/3*q**2. Factor g(p).
2*(p - 33)*(p - 1)/3
Let y(o) be the first derivative of -4*o + 103 - 2/45*o**3 - 31/15*o**2. Factor y(j).
-2*(j + 1)*(j + 30)/15
Let b(c) = -3*c**3 - 48*c**2 + 7*c + 114. Let w be b(-16). Let q(k) be the first derivative of -4/3*k**w - 8 + 4/3*k + 4/9*k**3. Factor q(n).
4*(n - 1)**2/3
What is l in 2/11*l**2 - 2*l - 1564/11 = 0?
-23, 34
Let p = 1 - -3. Let v = -4 - -9. Determine d, given that -d + 4*d + d**2 + p*d - v*d = 0.
-2, 0
Let z be 66/(-13)*(-25064)/86760. Solve -z*x**2 + 0 + 12/5*x + 2/15*x**3 = 0 for x.
0, 2, 9
Let k(o) = -8*o**3 - 84*o**2 + 150*o + 3. Let j(r) = -88*r**3 - 924*r**2 + 1648*r + 32. Let q(c) = 3*j(c) - 32*k(c). Determine m so that q(m) = 0.
-12, 0, 3/2
Let v be (-14)/91 - (-420)/234*9. Let x(f) be the second derivative of v*f + 0 + 20*f**2 - 10*f**3 + 5/2*f**4 - 1/4*f**5. Suppose x(m) = 0. Calculate m.
2
Suppose 0 = -4*j + 3 + 5. Let w(l) = -l**2 - l - 1. Let g(v) = v + 15*v - 3205 + 3219 + 20*v**2 + 4*v**3. Let n(a) = j*g(a) + 28*w(a). Factor n(i).
4*i*(i + 1)*(2*i + 1)
Let u(m) be the third derivative of m**7/525 - 4*m**6/75 + 14*m**5/75 + 3*m**2 - 505. Determine b, given that u(b) = 0.
0, 2, 14
Let o be (-273)/42*(-4)/52. Let d(m) = -m + 5. Let q be d(2). Factor -1 + o*f**4 - 3/2*f**2 + 1/2*f**q - 5/2*f.
(f - 2)*(f + 1)**3/2
Let n(a) = -a**3 + 2*a**2 + 4*a + 2. Let g be n(-2). Suppose g*p - 8*p = 4. Solve 200 + 18*v + 26*v - 4*v + p*v**2 = 0 for v.
-10
Let w be -3*(-18294)/90 - 3/(-15). Let d = w + -610. What is g in 0 - 4/3*g**2 - 2/3*g**3 + d*g = 0?
-2, 0
Let p = -13727 - -13727. Let k(n) be the third derivative of -20/9*n**4 + 22*n**2 - 17/90*n**5 + p*n - 64/9*n**3 - 1/180*n**6 + 0. Factor k(t).
-2*(t + 1)*(t + 8)**2/3
Let p(j) be the second derivative of j**8/6720 - j**7/360 - j**6/90 - 9*j**4 + 128*j. Let l(r) be the third derivative of p(r). Suppose l(c) = 0. Calculate c.
-1, 0, 8
Let m(u) be the second derivative of -11*u**4/12 + 143*u**3/6 - 5*u**2/2 + 239*u. Let w(v) = 14*v**2 - 142*v + 6. Let a(l) = -6*m(l) - 5*w(l). Factor a(f).
-4*f*(f + 37)
Solve -120*r**4 + 850*r**3 + 2071*r**2 + 125*r**4 - 4796*r**2 + 7920*r - 2510*r**2 = 0 for r.
-176, 0, 3
Let f = 644186 + -5797666/9. Factor 8/9 - 2/9*t**2 - 2/9*t**3 + f*t.
-2*(t - 2)*(t + 1)*(t + 2)/9
Solve 14*r**2 - 8*r - 8 - 11 + 480*r**3 - 2*r**4 + 7 - 478*r**3 + 6*r = 0 for r.
-2, -1, 1, 3
Let t be ((-3640)/350)/((0 - 9/7)/((-6760)/(-364))). Factor -t - 104/9*o - 2/9*o**2.
-2*(o + 26)**2/9
Let q(a) be the second derivative of -2/19*a**2 + 0*a**4 - 64*a + 0 - 1/19*a**3 + 1/190*a**5. What is b in q(b) = 0?
-1, 2
Factor 0 + 124/5*t**2 - 4/5*t**4 + 8/5*t**3 + 112/5*t.
-4*t*(t - 7)*(t + 1)*(t + 4)/5
Suppose 238*f - 249*f = -44. Determine r, given that -13*r**2 - 54*r**3 + 50*r**3 + 5*r**2 + f*r**4 = 0.
-1, 0, 2
Let j = 7751/42 + -7151/42. Factor -2/7*x**2 - j*x - 1250/7.
-2*(x + 25)**2/7
Let u(l) = l**2 - 232*l - 2418. Let i be u(-10). Factor -3*o**i + 0 - 7/3*o**4 + 5*o**3 + 1/3*o**5 + 0*o.
o**2*(o - 3)**2*(o - 1)/3
Let m(f) = -f**3 + 3*f**2 - 3*f. Let g(a) = 74*a**2 + 240*a + 180. Let q(x) = -2*g(x) + 4*m(x). Factor q(w).
-4*(w + 1)*(w + 3)*(w + 30)
Let f be (5/(-14))/((-20700)/21735). Solve -3/8 - f*m**2 - 3/4*m = 0 for m.
-1
Determine n, given that -50*n**4 + 15*n**3 + 27*n - 138*n**2 - 42*n**4 - 39*n**3 + 133*n + 94*n**4 = 0.
-5, 0, 1, 16
Let q be (1264/(-392) + 2)/(40/(-140)). Determine l, given that 33/7 - 3/7*l**2 - q*l = 0.
-11, 1
Factor 43270*t + 1674 - 88155*t - 3*t**2 + 44054*t.
-3*(t - 2)*(t + 279)
Factor -3724/13 + 2/13*g**2 - 1858/13*g.
2*(g - 931)*(g + 2)/13
Let q be ((-560)/42 + 0)*-3. Let w be 1 + 0/(-2) - -58. Factor w*v - 16*v**2 + 21*v**2 - q - 24*v.
5*(v - 1)*(v + 8)
Let k(b) = 145*b**2 - 2375*b + 2305. Let f(g) = -9*g**2 + 147*g - 144. Let u(x) = 65*f(x) + 4*k(x). Determine o so that u(o) = 0.
4, 7
Factor 6108*g**2 + 466993200 - 111618764 + 7*g**3 + 3108972*g - 3*g**3 + 172114480.
4*(g + 509)**3
Let x(y) be the second derivative of y**5/30 - 11*y**4/12 - 26*y**3/3 + 37*y**2/2 + 72*y + 2. Let c(p) be the first derivative of x(p). Factor c(t).
2*(t - 13)*(t + 2)
Factor 1/2*p**3 + 33*p**2 + 270 + 369/2*p.
(p + 3)**2*(p + 60)/2
Let i be (4/10)/(-3 - 112/(-35)). Factor 72*b + 2*b**i - 50*b**3 + 58*b**2 + 13 + 6 - 3.
-2*(b - 2)*(5*b + 2)**2
Let h(w) be the first derivative of w**3/8 + 351*w**2/8 + 699*w/8 + 1480. Find v such that h(v) = 0.
-233, -1
Factor 3*f**2 + 573*f + 991*f + 4932 - 429*f + 2*f**2 + 3828.
5*(f + 8)*(f + 219)
Suppose -5*c - 5 = -0*c, -5*a - 3 = -2*c. Let u = 3 + a. Factor -11*v**2 + 9*v**u + 0 - 6*v + 0.
-2*v*(v + 3)
Let y(f) = f**2 + 327*f + 887. Let a(i) = 165*i + 444. Let c(k) = 5*a(k) - 3*y(k). Factor c(j).
-3*(j + 3)*(j + 49)
Let w(q) be the third derivative of 0*q + 0 + 1/56*q**7 + 22*q**2 + 5/48*q**5 + 0*q**3 - 5/1344*q**8 + 3/32*q**6 + 0*q**4. Solve w(x) = 0.
-1, 0, 5
Let d(t) be the second derivative of -t**8/20160 - t**7/504 - t**6/80 - 13*t**5/360 - 17*t**4/4 + 109*t. Let p(n) be the third derivative of d(n). Factor p(f).
-(f + 1)**2*(f + 13)/3
Let a = 2/16397 - -196754/81985. Factor -8/5 - 4/5*n**2 + a*n.
-4*(n - 2)*(n - 1)/5
Factor -62 - 5 - 2 + 52*y + 15 + 2*y**2.
2*(y - 1)*(y + 27)
Let r(o) be the first derivative of 1/2700*o**6 - 3*o**3 + 0*o**2 - 12 + 0*o - 1/900*o**5 + 0*o**4. Let a(j) be the third derivative of r(j). Factor a(y).
2*y*(y - 1)/15
Let k(t) = -10*t**5 + 3*t**4 - 14*t**3 + 9*t**2 - 3*t. Let q(w) = -w**5 - 2*w**4 - w**3 + 2*w**2 - w. Let c(m) = -4*k(m) + 20*q(m). Let c(g) = 0. Calculate g.
-2/5, 0, 1
Let p(u) be the second derivative of 0 + 132*u + 1/60*u**5 - 10/3*u**2 + 1/18*u**4 - 19/18*u**3. Factor p(a).
(a - 4)*(a + 1)*(a + 5)/3
Let q(b) be the third derivative of -b**5/420 + 21*b**3/2 - 35*b**2 - 12. What is u in q(u) = 0?
-21, 21
Let s be (2/(-4))/(1/(-8)). Suppose 0 = 12*t + 2576 - 2600. Suppose -41*i**s + 2 + 37*i**4 + 2 - 8*i + 6*i**3 + t*i**3 = 0. What is i?
-1, 1
Let n be 7*(3840/(-312) - -12)/((-28)/26). Find w, given that -n*w + 0 - 2/9*w**2 = 0.
-9, 0
Determine y so that 0 - 3/7*y**2 + 27/7*y = 0.
0, 9
Let v(c) be the second derivative of -1/8*c**4 + 0 + 7/2*c**2 + 1/5*c**3 + 1/25*c**5 - 1/200*c**6 - 4*c. Let u(j) be the first derivative of v(j). Factor u(g).
-3*(g - 2)*(g - 1)**2/5
Let b = 329558/385 + -65850/77. Factor -196/5 - b*v**2 - 40*v.
-4*(v + 1)*(v + 49)/5
What is w in -15*w**3 + 59*w - 104 + 128*w - 6*w**2 + 7*w**4 + w**4 - 91*w**3 + 237*w = 0?
-2, 1/4, 2, 13
Let l = -89 - -95. Suppose -2*f = 3*d, -4*d + d - 4*f - l = 0. Factor 1244*o**d + 5 + 2 - 4*o + 1 - 1248*o**2.
-4*(o - 1)*(o + 2)
Suppose 24 = -w + 7*w. Let h = -6 - -9. Suppose 24*p**h + 2 - 22 - 14*p**3 - 15*p**w + 45*p**2 = 0. Calculate p.
-1, 2/3, 2
Let x = 24013 + -24010. Factor 4*k**x + 8/9*k + 44/9*k**2 + 0.
4*k*(k + 1)*(9*k + 2)/9
Let q(k) = -192*k**2 + 571*k + 18. Let s be q(3). Suppose 44/7*h**s + 440/7*h - 282/7*h**2 - 200/7 - 2/7*h**4 = 0. What is h?
1, 10
Let g be (68/(-255))/((-7)/105). Factor 6/5 - 2/5*l**g + 12/5*l**2 + 16/5*l + 0*l**3.
-2*(l - 3)*(l + 1)**3/5
Let l be (-14)/(-77) + (-310)/(-110). Let q be (56/(-60))/(l/(-15)*1). What is w in 2*w**4 - 2/3*w**5 + 8/3 + 0*w + 2/3*w**3 - q*w**2 = 0?
-1, 1, 2
Let p be 42/(-315) - 467/(-15). Suppose -8 = 29*y - p*y. What is q in -q**5 - 4*q - 5*q**3 - 2*q + y*q**3 + 3*q**4 - 3*q**2 + 8*q = 0?
-1, 0, 1, 2
Let p(j) be the first derivative of -j**4/12 - 503*j**3/3 - 189505*j**2/2 + 570025*j/3 + 333. Factor p(b).
-(b - 1)*(b + 755)**2/3
Let f(w) be the second derivative of -w**5/40 - 95*w**4/24 - 184*w**3 + 576*w**2 + 26*w + 3. Let f(k) = 0. Calculate k.
-48, 1
Let w(r) be the second derivative of -21*r**5/20 + 177*r**4 - 9150*r**3 + 30000*r**2 + 4*r - 29. Solve w(m) = 0 for m.
8/7, 50
Solve 903*u - 1/4*u**2 - 815409 = 0 for u.
1806
Suppose 14 = -2*u - 5*g, g = 642 - 646. Find s such that -392/13 + 4*s**u - 2/13*s**4 - 56*s - 282/13*s**2 = 0.
-1, 14
Let d be (114/532)/((-2)/(-42)). Let o be (-21)/8 - (-7 - -1)/2. Factor d - o*h**2 - 3/2*h.
-3*(h - 2)*(h + 6)/8
Let l(x) be the third derivative of 0*x**3 + 0*x + x**2 + 7/12*x**4 - 1/60*x**5 - 4. Factor l(s).
-s*(s - 14)
Determine w, given th