/180 - l**5/210 - 29*l**3/3 - 42. Let u(t) be the third derivative of w(t). Factor u(f).
2*f*(7*f - 2)/7
Let h be -3*(3 - 28/6). Suppose -h*v + 0*d = d - 7, 23 = 4*v - 5*d. Suppose v*w - 9*w**2 + 27*w**2 - 20*w**2 + 4 = 0. What is w?
-1, 2
Factor -5476*q**4 + 80 - 251*q**2 + 10 - 33*q + 5469*q**4 + 270*q + 75*q**3.
-(q - 5)*(q - 3)**2*(7*q + 2)
Let a(j) be the second derivative of -3*j**5/20 - 109*j**4/2 - 11881*j**3/2 - 5363*j - 1. Factor a(n).
-3*n*(n + 109)**2
Let r = -54 + 378. Let n be (-10)/2 - r/(-63). Factor -n*h**2 - 2/7*h - 1/7.
-(h + 1)**2/7
Let 5*m**3 + 42*m**2 - 26*m**2 + 7*m**2 - 90*m - 160 + 52*m**2 = 0. What is m?
-16, -1, 2
Let o(z) = -5*z**3 + 385*z**2 + 384*z + 63. Let n(t) = 12*t**3 - 771*t**2 - 769*t - 147. Let h(l) = -3*n(l) - 7*o(l). Suppose h(c) = 0. Calculate c.
-381, -1, 0
Let k = -728 - -731. Let m(q) = -q**3 - 7*q**2 + 8*q + 5. Let i be m(-8). Factor -7 - t**2 + 7 + i*t**3 - 6*t**k.
-t**2*(t + 1)
Let k = -173 - -179. What is q in 23*q + 55 - 78*q - 128 + 64 - k*q**2 = 0?
-9, -1/6
Let j(o) be the first derivative of 1/10*o**6 + 0*o**3 + 3/20*o**4 + 0*o + 0*o**2 - 6/25*o**5 + 1. Determine f, given that j(f) = 0.
0, 1
Let k(p) be the first derivative of -20*p**3/3 + 2196*p**2 + 1760*p + 4665. Let k(v) = 0. What is v?
-2/5, 220
Let s(v) = -14*v**3 + 29*v**2 - 17. Let q(z) = -5*z**3 + 10*z**2 - 6. Let c(y) = -3*y - 14. Let x be c(1). Let u(w) = x*q(w) + 6*s(w). Factor u(h).
h**2*(h + 4)
Let n(p) be the second derivative of -p**5/90 + 31*p**4/27 - 61*p**3/27 + 8*p - 65. Factor n(b).
-2*b*(b - 61)*(b - 1)/9
Suppose -192*d - 2*q = -195*d + 34, 2*d + 5*q = -47. Solve -12/11*b**2 + 0*b - 16/11*b**d - 10/11*b**5 + 0 + 38/11*b**3 = 0 for b.
-3, 0, 2/5, 1
Let o(a) be the first derivative of -a**5/480 - 5*a**4/96 - a**3/3 - 151*a**2/2 - 5. Let r(f) be the second derivative of o(f). Find u such that r(u) = 0.
-8, -2
Let t be (-2952)/(-4428)*(1 - -2). Find n such that -1089/2 - 561/2*n - 17/2*n**4 - 1/2*n**5 + 265*n**t - 7*n**3 = 0.
-11, -1, 3
Let q(o) be the second derivative of 12 + 1/42*o**7 - 19/12*o**4 + 7/20*o**5 + o + 10*o**2 - 8/3*o**3 + 7/30*o**6. Solve q(t) = 0.
-5, -2, 1
Let q(o) be the first derivative of -15*o**6 - 402*o**5/5 - 79*o**4 + 500*o**3/3 + 203*o**2 - 98*o + 5477. Let q(m) = 0. What is m?
-7/3, -1, 1/5, 1
Factor -2/9*m**2 - 1541768/9 - 3512/9*m.
-2*(m + 878)**2/9
Suppose -7*b + 3*b = -16. Suppose 445 = t + b*t. Suppose 89*j + 4*j**5 + 4*j**3 + 8*j**4 - t*j = 0. What is j?
-1, 0
Solve -1/4*z**2 - 115/2 + 117/4*z = 0 for z.
2, 115
Let i(y) be the third derivative of y**5/15 + 30*y**4 + 6*y**2 + 37. Factor i(c).
4*c*(c + 180)
Suppose 165 = -5*p + 2760. Suppose -511*g + p*g = 16. Factor 0*h - 9/4*h**4 + 0 + 9/4*h**3 + 3/4*h**5 - 3/4*h**g.
3*h**2*(h - 1)**3/4
Suppose 408 = 10*f + 88. Let p be (f/48)/(1 + 0). Solve -1/6*g**2 + 0 - p*g = 0.
-4, 0
Suppose -123 = 4*x + 97. Let y(w) = -5*w**3 - 4*w**2 - 5*w + 6. Let n(o) = -45*o**3 - 35*o**2 - 45*o + 55. Let l(h) = x*y(h) + 6*n(h). Factor l(d).
5*d*(d + 1)**2
Let t be 2*(-5)/2 + 21. Let f(h) be the first derivative of 1/3*h**2 - 1/6*h**4 + 2*h - 2/3*h**3 + t. Find b such that f(b) = 0.
-3, -1, 1
Let n be (8/(-5))/((-4)/(-70)). Let r = n + 30. Suppose 0*g**4 - 2*g**3 + 10*g - 91 + 95 + 6*g**r - 2*g**4 = 0. What is g?
-1, 2
Suppose 0 = -3*z + 62*d - 65*d + 12, 2*z - 11 = -5*d. Factor 2/7*u**z + 486/7*u - 1458/7 - 54/7*u**2.
2*(u - 9)**3/7
Let j(k) be the second derivative of -5*k**7/7 - 5*k**6/6 + 11*k**5/2 + 45*k**4/4 - 5*k**3/3 - 20*k**2 - 641*k. Determine s, given that j(s) = 0.
-4/3, -1, 1/2, 2
Let y = -28601 - -28601. Factor y - 2/9*n**2 - 2/9*n.
-2*n*(n + 1)/9
Let v = -35 + 30. Let t = v - -8. Factor 4*p**2 - 4*p**2 + 4*p**4 + 16*p - 12*p**t + 0*p**4.
4*p*(p - 2)**2*(p + 1)
Find g, given that -20990*g**3 - 15580*g - 48215*g**2 + 25*g**5 - 379982*g**4 + 384227*g**4 - 205*g**5 + 7220 = 0.
-1, 1/4, 38/3
Suppose -37*g - 5 = -42*g. Let a(l) = l**3 + l - 1. Let d(u) = -15*u**2 - 25*u + 5. Let y(f) = g*d(f) + 5*a(f). What is x in y(x) = 0?
-1, 0, 4
Determine m, given that -2632*m - 130 + 37563*m**5 + 273554*m**3 - 143 - 138 + 221776*m**4 + 18215*m**5 + 427 + 104908*m**2 = 0.
-2, -1, 2/167
Let q(l) be the second derivative of l**7/14 + 27*l**6/5 - 1557*l**5/20 - 13480*l**4 - 10752*l**3 + 21676032*l**2 - 40*l - 2. Factor q(d).
3*(d - 21)**2*(d + 32)**3
Let x(y) = -y**4 + 683*y**3 + 200*y**2 - 6. Let a(v) = -v**4 - v**3 - v**2 + 1. Let k(n) = -6*a(n) - x(n). Factor k(z).
z**2*(z - 97)*(7*z + 2)
Solve 0 - 44/5*w + 4*w**3 - 2/5*w**4 + 26/5*w**2 = 0.
-2, 0, 1, 11
Suppose -109*n = -112*n + 24. Factor 15*q - 6*q**5 + n*q**5 - 6*q - 16*q**4 + 30*q**3 - 9*q.
2*q**3*(q - 5)*(q - 3)
Let y be (-4)/12 - 2461/(-963). Let r(a) be the first derivative of 2*a**2 + 1/3*a**4 - 12*a - 28 + y*a**3. Factor r(f).
4*(f - 1)*(f + 3)**2/3
Determine y, given that 1/7*y**2 + 1294/7*y + 0 = 0.
-1294, 0
Suppose b = -2*v + 9, -3*b - 3 = -0*b - 4*v. Let -9*h + h**b + 323*h**2 - 2*h - 333*h**2 = 0. Calculate h.
-1, 0, 11
Let k be 6/5 - (-1180)/1475. Factor 48/7*z + 4*z**k + 0 + 4/7*z**3.
4*z*(z + 3)*(z + 4)/7
Factor 269*v**2 - 228*v - 83/2*v**3 + 0 + 1/2*v**4.
v*(v - 76)*(v - 6)*(v - 1)/2
Factor -5/4*j**4 + 0 - 935/4*j**3 - 925/4*j - 1855/4*j**2.
-5*j*(j + 1)**2*(j + 185)/4
Let x(y) be the second derivative of -3*y**5/100 + 3*y**4/2 + 66*y**3/5 + 204*y**2/5 + 1068*y. Find c, given that x(c) = 0.
-2, 34
Suppose 5*i + 765 = 10*i. Let -11*x + 4*x**4 + i*x**2 - 100 - 29*x - 57*x**2 + 40*x**3 = 0. Calculate x.
-5, -1, 1
Let a(d) be the first derivative of 2*d**3/39 - 1080*d**2/13 + 583200*d/13 + 3180. Solve a(v) = 0 for v.
540
Let b(t) be the second derivative of 0 + 24*t - 2/33*t**3 - 1/330*t**5 + 24*t**2 - 1/44*t**4. Let d(p) be the first derivative of b(p). Factor d(u).
-2*(u + 1)*(u + 2)/11
Let o be 105/18 + 672/504 + 46/(-12). Factor o*d**3 - 20/3 - 28/3*d - 1/3*d**4 + d**2.
-(d - 10)*(d - 2)*(d + 1)**2/3
Let d(s) be the second derivative of s**4/4 + 2*s**3 - 144*s**2 + 2*s + 479. Suppose d(f) = 0. Calculate f.
-12, 8
Let b(v) be the third derivative of v**7/630 - 103*v**6/360 - 109*v**5/20 - 333*v**4/8 - 168*v**3 + v**2 - 2*v + 18. Factor b(l).
(l - 112)*(l + 3)**3/3
Let x(v) be the first derivative of v**5/420 - v**4/168 + 129*v**2/2 + 95. Let j(c) be the second derivative of x(c). What is r in j(r) = 0?
0, 1
Let w(c) be the first derivative of 2*c**3/3 - 448*c**2 - 898*c - 2145. Factor w(f).
2*(f - 449)*(f + 1)
Let b(o) = -30*o**2 + 20*o + 210. Let x(f) = 35*f**2 - 20*f - 207. Let n(g) = 6*b(g) + 5*x(g). Factor n(a).
-5*(a - 9)*(a + 5)
Let f(t) be the third derivative of 21*t**5/10 + 47*t**4/4 - 14*t**3/3 + 198*t**2 - 26*t. Suppose f(u) = 0. What is u?
-7/3, 2/21
Let d(g) be the second derivative of -1/21*g**3 - 1/42*g**4 + 0*g**2 + 1/105*g**6 + 1/70*g**5 + 0 - 58*g. Factor d(q).
2*q*(q - 1)*(q + 1)**2/7
Let q be ((26/4)/(-13))/((-28)/1124). Let v = 144/7 - q. Factor 0 + 1/2*b**3 - v*b - 1/6*b**4 + 1/6*b**2.
-b*(b - 3)*(b - 1)*(b + 1)/6
Let v(y) be the second derivative of -y**6/6 - 135*y**5/4 - 7245*y**4/4 + 23805*y**3/2 - 24*y + 44. Factor v(o).
-5*o*(o - 3)*(o + 69)**2
Suppose 9*m + 2*m - 50 = m. Let s(n) be the third derivative of -15*n**2 + 0*n**3 + 1/150*n**6 + 0*n + 1/75*n**m + 0*n**4 + 0. Find p such that s(p) = 0.
-1, 0
Let d(u) be the first derivative of -120 + 2/3*u**3 + 20*u + 7*u**2. Factor d(r).
2*(r + 2)*(r + 5)
Let v(k) be the third derivative of k**7/560 - k**6/16 + 141*k**5/160 - 205*k**4/32 + 25*k**3 + 11*k**2 + 182. Factor v(m).
3*(m - 8)*(m - 5)**2*(m - 2)/8
Let s(j) be the second derivative of -5*j**7/42 + 19*j**6/6 + 3*j**5/4 - 295*j**4/12 + 95*j**3/3 + 19*j + 19. Suppose s(o) = 0. What is o?
-2, 0, 1, 19
Let v(n) be the first derivative of -n**4/8 - 13*n**3/2 - 26*n**2 + 72*n - 683. What is c in v(c) = 0?
-36, -4, 1
Suppose f - 14*f = 0. Suppose f = 37*g + 9*g - 92. Solve 1/3*j**g + 0 - 2/3*j + 1/3*j**3 = 0.
-2, 0, 1
Suppose 3*x + 12 = 0, 5*f = -2*x + 31 + 21. Solve f*h**4 + 9*h**4 - 12 - 10*h**4 - 6*h**3 + 81*h**2 + 10*h**4 - 12*h - 72*h**3 = 0.
-2/7, 1, 2
Let o be 0/(-8*(-55)/88). Factor -8/5*x + 1/5*x**3 + o + 7/5*x**2.
x*(x - 1)*(x + 8)/5
Let t(g) be the third derivative of 0 - 1/3*g**5 + 0*g - 20*g**3 + 77/6*g**4 - 54*g**2. Let t(d) = 0. Calculate d.
2/5, 15
Let v(k) =