 p, given that y(p) = 0.
-2, -1, 2/5
Factor -69*f**3 - 315*f**2 - 267*f + 37*f**3 - 173*f + 300 + 42*f**3 + 880*f.
5*(f - 30)*(f - 2)*(2*f + 1)
Let z = -235 - -116. Let n be (-48)/z - (-46)/(-391). Determine x so that n*x + 3/7*x**2 + 1/7*x**3 + 0 = 0.
-2, -1, 0
Let m(u) be the third derivative of -28/5*u**6 - 44/15*u**5 + 0*u**3 + 10*u**2 - 14/3*u**7 - 49/48*u**8 + 0*u + 0 - 2/3*u**4. Find g, given that m(g) = 0.
-2, -2/7, 0
Factor 68*n - 2/3*n**2 + 416/3.
-2*(n - 104)*(n + 2)/3
Factor 120 - 2*d**2 + 67*d**2 - 196*d - 8*d**3 - 4*d**2 + 23*d**2.
-4*(d - 2)*(d - 1)*(2*d - 15)
Suppose -447*p - 497 = -805 - 1033. Let u be (-46)/8 - -3 - -3. Suppose -1/4*g**4 + u*g**2 - 1/2*g**p + 3/8*g + 0 + 1/8*g**5 = 0. Calculate g.
-1, 0, 1, 3
Let k = 28051 + -28049. Let h(b) be the third derivative of -4/27*b**3 + 0 + 1/18*b**4 + 0*b - 1/135*b**5 + 40*b**k. Factor h(d).
-4*(d - 2)*(d - 1)/9
Let r = -13203 + 13203. Let u(b) be the second derivative of 26*b + 2/11*b**2 - 1/33*b**3 + r - 1/66*b**4. Let u(w) = 0. Calculate w.
-2, 1
Suppose 4/3*o**4 + 128/9*o**2 - 122/9*o**3 - 2*o + 0 = 0. What is o?
0, 1/6, 1, 9
Determine w, given that w**3 + 138*w**2 - 4*w**3 + 420*w**2 + 2*w**3 + 431*w**2 = 0.
0, 989
Let d(g) be the first derivative of -2/11*g**3 - 156/11*g + 45/11*g**2 + 62. Factor d(q).
-6*(q - 13)*(q - 2)/11
Let a(b) be the first derivative of 2*b**6/21 + 156*b**5/35 - 181*b**4/7 - 44956*b**3/21 + 20880*b**2 + 336400*b/7 + 2325. Let a(c) = 0. Calculate c.
-29, -1, 10
Let f = 67256 - 67254. Suppose -3/2 - 2*o + 15/8*o**3 + 7/8*o**4 + 5/8*o**f + 1/8*o**5 = 0. What is o?
-3, -2, -1, 1
Determine k, given that -10*k - 206/3*k**2 + 14/3*k**4 + 0 + 10*k**3 = 0.
-5, -1/7, 0, 3
Let g = 377 - 413. Let c be (-54)/g*(-8)/(-42). Determine u so that c*u**4 + 0 + 0*u + 8/7*u**2 + 8/7*u**3 = 0.
-2, 0
Determine d, given that 5*d**2 + 1635*d + 13*d**2 - 2*d**3 + 1 - 1675*d - 1 = 0.
0, 4, 5
Let m(d) be the first derivative of d**6/1260 + d**5/28 + 13*d**4/42 - 41*d**3/3 + 84. Let l(x) be the third derivative of m(x). Let l(n) = 0. Calculate n.
-13, -2
Suppose -29*w + 2*m = -34*w + 28, 4*w + 37 = 5*m. Factor 5 - 2*d + 1/5*d**w.
(d - 5)**2/5
Let d(r) = -r**2 - 32*r - 51. Let q be d(-30). Let g be q/16*(-168)/(-126). Determine s so that -9/4*s - g*s**2 + 1/4*s**3 - 5/4 = 0.
-1, 5
Let o(h) = -20*h**3 + 6507*h**2 - 751680*h - 215293. Let x(r) = -62*r**3 + 19526*r**2 - 2255040*r - 645878. Let g(n) = 20*o(n) - 6*x(n). Factor g(q).
-4*(q - 232)**2*(7*q + 2)
Let u be -8 - (-868)/96 - 1. Let j = u - -5/8. What is k in j*k**2 - 8/3 + 0*k = 0?
-2, 2
Let j(u) = -4*u + 65. Let d be j(15). Suppose 4*y - 10 = w + 6, -4*w = d*y - 41. What is x in -11*x**w - 96*x**3 - 4*x**5 + 63*x - 29*x**4 + 37*x + 40*x**2 = 0?
-5, -1, 0, 1
Let r(q) be the third derivative of -2*q**7/105 + 103*q**6/30 - 20*q**5/3 - 34*q**4 + 18*q**2 - 73. Find g such that r(g) = 0.
-1, 0, 2, 102
Suppose 2*j - j = -x + 10, 0 = 3*x + 2*j - 25. Suppose -x*o - 19 = -29. Let -27 - 16*z - 13*z**o - 2*z + 10*z**2 = 0. Calculate z.
-3
Suppose 0 = -17*l + 16*l - u - 5, 3*l + 10 = -4*u. Let b be 1100/(-495)*12/l. Determine q, given that -4*q + 4*q**3 - b + 8/3*q**2 = 0.
-1, -2/3, 1
Suppose 47*z - 44*z = 0. Let m be (93/(-62))/((-2)/(-8)*-27). Determine p, given that z*p + 8/9 - m*p**2 = 0.
-2, 2
Let a(b) be the third derivative of 1/840*b**6 + 0*b**3 - 1/42*b**5 - 12*b**2 + 3/56*b**4 + 0*b + 0. Let a(z) = 0. Calculate z.
0, 1, 9
Suppose 3*j - 1971 = 540. Let d = 839 - j. Suppose -12/5*r + 0 + 3*r**d - 3/5*r**3 = 0. What is r?
0, 1, 4
Let y(p) be the first derivative of 3/2*p**4 - 7*p**2 + 6*p + 108 - 14/3*p**3. Suppose y(r) = 0. What is r?
-1, 1/3, 3
Let z be 16*(7 - 8) - -6 - (-9184)/902. What is p in 8/11*p**3 - 6/11*p**2 - z*p**4 + 0*p + 0 = 0?
0, 1, 3
Let y(a) be the first derivative of -a**3/6 + 19*a**2/2 - 120*a - 2380. Determine v, given that y(v) = 0.
8, 30
Let g = 253744 + -761231/3. What is v in g*v**4 + 2/3*v**2 - 8 + 20/3*v - 5/3*v**3 = 0?
-2, 2, 3
Factor 4/7*u**2 + 260/7*u - 536/7.
4*(u - 2)*(u + 67)/7
Let h = -759 - -762. Suppose 103*w**2 + 36 - 86 + 21*w + 4*w**4 - 95*w**2 - 20*w**h - 46 + 59*w = 0. What is w?
-2, 2, 3
Factor 164 + 19*g**2 - 61*g**2 + 20*g**2 - 26 - g**3 + 29*g.
-(g - 3)*(g + 2)*(g + 23)
Let t be ((-35)/(-4))/(22/264). Let d = t - 102. Factor -4 + d*w**4 + w**4 + 3*w - 8*w**3 + 8*w - 3*w.
4*(w - 1)**3*(w + 1)
Find s, given that -3/7*s**3 + 0 + 9/7*s**2 + 540/7*s = 0.
-12, 0, 15
Let f(y) be the second derivative of -y**9/98280 - y**8/4368 + 11*y**7/16380 - 55*y**4/12 - 5*y - 3. Let w(l) be the third derivative of f(l). Factor w(c).
-2*c**2*(c - 1)*(c + 11)/13
Let u be 0*((-36)/40 - 42/(-105)). Let t(s) be the third derivative of -1/6*s**3 + 17*s**2 - 1/6*s**4 + 1/12*s**5 + u + 0*s. Factor t(k).
(k - 1)*(5*k + 1)
Suppose 17*d - 18*d + 19 = -15*x, -4*x = d. Let c(q) be the first derivative of 0*q + 1/4*q**4 + 18*q**2 - d*q**3 + 5. Factor c(t).
t*(t - 6)**2
Suppose 0 = -2508*v + 4500 + 8040. Find t such that -2/13*t**3 - 22/13*t**2 + 6/13*t**4 + 2/13*t**v - 24/13*t - 8/13 = 0.
-2, -1, 2
Let d(z) be the first derivative of 49*z**3/3 + 574*z**2 + 6724*z - 434. Solve d(g) = 0 for g.
-82/7
Let z = -22187 - -22192. Let l(w) be the third derivative of 5/9*w**4 + 0 + 36*w**2 + 0*w - 100/9*w**3 - 1/90*w**z. Determine q so that l(q) = 0.
10
Let g be ((-4)/3)/((-630)/2835) - 574/96. Let m(b) be the third derivative of -23*b**2 + 1/120*b**5 + 0*b**3 + g*b**4 + 0 + 0*b. Find w such that m(w) = 0.
-1, 0
Let l(h) be the second derivative of 3 + 50*h + 27/11*h**2 + 17/55*h**5 - 1/77*h**7 - 21/11*h**3 - h**4 + 7/165*h**6. Suppose l(d) = 0. What is d?
-3, -1, 1/3, 3
Let p(v) = -20*v**2 + 194*v + 241. Let f(j) = -9*j**2 + 97*j + 118. Let g(c) = 9*f(c) - 4*p(c). Solve g(z) = 0.
-1, 98
Factor 9/7*p - 3/7*p**2 + 0.
-3*p*(p - 3)/7
Suppose -3*w + 60 = 9*w. Factor 24*a**2 + 16*a**4 - 47*a**5 + 148*a**5 - 49*a**w - 56*a**5 + 44*a**3.
-4*a**2*(a - 6)*(a + 1)**2
Let j(r) be the second derivative of 2*r**6/15 + 66*r**5/5 - r**4/3 - 44*r**3 - 5*r + 495. Find o, given that j(o) = 0.
-66, -1, 0, 1
Let h(z) be the second derivative of -z**7/3 - 43*z**6/15 - 69*z**5/10 - 37*z**4/6 - 4*z**3/3 - 89*z + 1. Find x such that h(x) = 0.
-4, -1, -1/7, 0
Let b(y) be the third derivative of -1/390*y**5 + 0*y + 0*y**3 + 4/39*y**4 - y**2 + 1. Factor b(s).
-2*s*(s - 16)/13
Suppose -23*o + 140 - 94 = 0. Let l(c) be the first derivative of 3 - 1/3*c**3 + 0*c**o + 4*c. Factor l(v).
-(v - 2)*(v + 2)
Let t(z) be the second derivative of -z**7/21 + z**6/30 + 51*z**2/2 + 2*z + 5. Let m(i) be the first derivative of t(i). Solve m(o) = 0.
0, 2/5
Let j(b) = 9*b**3 - 79*b**2 - 180*b - 122. Let u(p) = -25*p**3 + 160*p**2 + 355*p + 245. Let d(c) = 5*j(c) + 2*u(c). Factor d(i).
-5*(i + 1)*(i + 2)*(i + 12)
Let v(x) be the third derivative of -5*x**8/168 - 2*x**7/15 - x**6/5 - x**5/15 + x**4/12 - 2*x**2 + 81*x. Suppose v(r) = 0. What is r?
-1, 0, 1/5
Let w(f) be the third derivative of f**6/30 - 74*f**5/15 - 154*f**4/3 - 208*f**3 - 2962*f**2. Factor w(k).
4*(k - 78)*(k + 2)**2
Let b be ((-148)/(-518))/((-2)/(-18)). Let x(r) be the second derivative of -1/3*r**4 + 0 - b*r**2 - 1/35*r**5 + 8*r - 10/7*r**3. Suppose x(n) = 0. Calculate n.
-3, -1
Let p be ((5031/(-12))/(-13))/((-12)/(-80)). Let u = p + -1931/9. Suppose u*b - 1/9*b**2 - 4/9 = 0. What is b?
2
Suppose 36*l = -5*l + 374 + 569. Let a(v) be the second derivative of l*v + 0*v**3 + 0*v**2 - 2/27*v**4 - 1/90*v**5 + 0. Let a(r) = 0. Calculate r.
-4, 0
Find c, given that 676*c**2 + 197856 - 958*c + 2*c**3 + 0*c**3 - 197376 - 200*c**2 = 0.
-240, 1
Let z be 9/3 - 14/4 - (-86)/172. Let d(h) be the third derivative of 1/60*h**6 + 11/150*h**5 + 7/60*h**4 - 6*h**2 + z + 0*h + 1/15*h**3. Factor d(k).
2*(k + 1)**2*(5*k + 1)/5
Let o(g) be the first derivative of -81/2*g**2 - 3/16*g**4 - 9/2*g**3 - 132 - 162*g. Factor o(m).
-3*(m + 6)**3/4
Let j(v) be the second derivative of 13/12*v**4 + 6591/2*v**2 - 140*v + 0 + 1/180*v**5 + 169/2*v**3. Find g, given that j(g) = 0.
-39
Let l = -100680/524213 - -2/7181. Let y = 300/803 + l. Factor 0 - 6/11*t - y*t**2.
-2*t*(t + 3)/11
Let u(i) = -i**2 + 9*i - 16. Let j be u(3). Suppose j*x - 9 = q, x + 2*q - 5 + 13 = 0. Factor 31 + t**2 - 29 + t**x - 4*t.
2*(t - 1)**2
Let c(q) = 16 + 114*q