 s - 13. Suppose d*v - 12 = -2. Factor 22/5*j**3 - 24/5*j**4 - 4/5*j**2 - 18/5*j**v + 0*j + 0.
-2*j**2*(j + 2)*(3*j - 1)**2/5
Let m = -734399/300 - -2448. Let v(u) be the third derivative of 0 - 11*u**2 - m*u**6 + 1/20*u**4 + 1/75*u**5 + 0*u + 0*u**3. Factor v(r).
-2*r*(r - 3)*(r + 1)/5
Suppose -22*o = -23*o + 3. Suppose 3*g - 8*g - 10 = -5*a, 5*g - o*a = 0. Factor 0 - 3/8*b**2 + 3/4*b - 3/8*b**g.
-3*b*(b - 1)*(b + 2)/8
Let v be ((65/(-104))/(3/4))/((-235)/141). Factor v - 1/2*x - 1/2*x**2 + 1/2*x**3.
(x - 1)**2*(x + 1)/2
Let m(h) = 4*h**2 - 7*h + 13. Let i(c) = c**2 - 2*c + 1. Let d(f) = 6*i(f) - m(f). Factor d(r).
(r + 1)*(2*r - 7)
Let s(i) = -3*i**3 - 125*i**2 - 5*i - 5. Let c(x) = 4*x**3 + 188*x**2 + 8*x + 8. Let k(h) = 5*c(h) + 8*s(h). Determine q, given that k(q) = 0.
-15, 0
Let t = 21077 - 105383/5. Factor -24/5*v**2 - 20 - 18*v - t*v**3.
-2*(v + 2)*(v + 5)**2/5
Factor 200/9 + 58/9*f**2 - 2/9*f**3 - 208/9*f.
-2*(f - 25)*(f - 2)**2/9
Let g = 1/128 + 148347/640. Let l = g + -231. Suppose 2/5*v**4 - 2/5*v**5 + 4/5*v**3 + 2/5 - 2/5*v - l*v**2 = 0. What is v?
-1, 1
Let v = 41/36 + -7/18. Suppose 32 - 47 = -3*s. Solve 3/2*d**s + 0 + v*d**4 + 0*d**2 + 0*d + 0*d**3 = 0 for d.
-1/2, 0
Let z be -11 - -16 - (2 - -1). Factor 18 + 14*f - 141*f**2 - z*f + 143*f**2.
2*(f + 3)**2
Let i(p) be the first derivative of 5*p**2 + 6 + 15/4*p**4 - 35/3*p**3 + 0*p. Determine f, given that i(f) = 0.
0, 1/3, 2
Let u be (-118)/24*-2*(-5)/84. Let k = -1/72 - u. Suppose 0 + k*t**3 - 8/7*t**2 + 4/7*t = 0. Calculate t.
0, 1
Let w(n) be the third derivative of -n**6/60 + 7*n**5/60 - n**4/8 - n**2 + 24*n. Factor w(j).
-j*(j - 3)*(2*j - 1)
Let r(s) be the first derivative of -2*s**5 + 16*s**4 + 46*s**3/3 - 14*s**2 - 217. Determine c, given that r(c) = 0.
-1, 0, 2/5, 7
Let o(v) = -9*v**2 - 27*v + 24. Let n(t) = -t**2 + t - 2. Let l(w) = -6*n(w) + o(w). Suppose l(d) = 0. What is d?
-12, 1
Let r(s) = -16*s**2 + 20*s + 20. Let d(x) = -6*x**2 + 2*x. Let c(m) = -3*d(m) + r(m). Factor c(w).
2*(w + 2)*(w + 5)
Let l = 473/685 - -15/137. Find k such that -8/5*k**2 - 4/5*k**3 + 0 - l*k = 0.
-1, 0
Let f(s) = 93*s**2 - 592*s + 148. Let h(c) = c**3 - c**2 + 2*c + 1. Let l(n) = f(n) - 4*h(n). Factor l(a).
-(a - 12)**2*(4*a - 1)
Find v, given that -1822/11*v**3 + 0 - 70/11*v**5 + 708/11*v**4 + 200/11*v + 120/11*v**2 = 0.
-2/7, 0, 2/5, 5
Let x = -15/32 - -139/160. Let x*h + 0 - 1/5*h**3 + 1/5*h**2 = 0. What is h?
-1, 0, 2
Factor -10/9*s + 1/9*s**2 + 7/3.
(s - 7)*(s - 3)/9
Let a be (-1)/(9/(-1))*3. Suppose 0 = -8*h - 35 + 51. Factor -4/3*m - a*m**h - 4/3.
-(m + 2)**2/3
Let f(d) be the first derivative of -d**7/420 + d**6/80 - d**4/12 + 3*d**2/2 - 11. Let c(i) be the second derivative of f(i). Factor c(h).
-h*(h - 2)**2*(h + 1)/2
Find q, given that 52*q + 6018*q**2 + 0*q - 6014*q**2 + 88 = 0.
-11, -2
Let s(j) be the first derivative of 0*j - 1/8*j**2 + 1/8*j**4 - 16 + 0*j**5 + 0*j**3 - 1/24*j**6. Factor s(h).
-h*(h - 1)**2*(h + 1)**2/4
Let n be (1 - -2)/(33/(-44)) - -6. Let x(r) be the third derivative of 0 - 1/60*r**5 - n*r**2 + 1/3*r**4 - 8/3*r**3 + 0*r. Factor x(u).
-(u - 4)**2
Let p(i) be the first derivative of 1/4*i**2 + 7 + i - 1/6*i**3. Factor p(l).
-(l - 2)*(l + 1)/2
Let q(a) be the third derivative of -1/120*a**6 + 0 + 13*a**2 - 1/24*a**4 + 1/40*a**5 + 1/24*a**3 + 0*a + 1/840*a**7. Solve q(g) = 0 for g.
1
Let p(a) be the first derivative of a**5/20 + 5*a**4/16 - 47*a**3/12 + 39*a**2/8 + 45*a/2 + 428. Factor p(r).
(r - 3)**2*(r + 1)*(r + 10)/4
Let k = -1197 - -8381/7. Determine m, given that -k - 2/7*m**2 - 4/7*m = 0.
-1
Let p be (-16)/10 + (1 - -1). Let c be (-42)/7 + (-40)/(-4). Factor p*m**3 + 1/5*m**2 + 0*m + 1/5*m**c + 0.
m**2*(m + 1)**2/5
Let x(t) be the second derivative of 9/4*t**2 + 0 + 22*t + 1/8*t**4 + t**3. Let x(s) = 0. What is s?
-3, -1
Suppose 8 = -184*i + 188*i. Factor 12*g + g**3 + 3*g**3 - 7*g**3 + 3*g**i - 12.
-3*(g - 2)*(g - 1)*(g + 2)
Let d(q) = 19*q**2 - 267*q - 272. Let c(i) = 11*i**2 - 134*i - 137. Let j(a) = -7*c(a) + 4*d(a). Factor j(o).
-(o + 1)*(o + 129)
Factor 57*k**3 - 29*k**3 - 10*k**3 - 23*k**3 + 5*k**5.
5*k**3*(k - 1)*(k + 1)
Let w(b) = -b**3 + 13*b**2 - 13*b - 14. Let q be w(12). Let v = 30 + q. Solve 3*s**4 - 2*s**2 + v*s**3 - s**2 + s**2 - s**4 - 4*s = 0.
-2, -1, 0, 1
Let j = -70 + 74. Factor -10*l + j + 21*l + l - 4*l**2 - 3*l**3 - 9*l**3.
-4*(l - 1)*(l + 1)*(3*l + 1)
Let a(s) be the third derivative of 0*s**4 + 0*s + 0 + 1/490*s**7 - 9*s**2 + 0*s**6 - 1/140*s**5 + 0*s**3. Solve a(f) = 0 for f.
-1, 0, 1
Suppose -2*a = -g - 3*g + 34, 3*g - 2*a = 27. Find w, given that 2*w**2 - 5*w**3 + g*w + 209*w**4 - w**3 - w - 211*w**4 = 0.
-3, -1, 0, 1
Let h be 4 + ((-38)/14 - (3 - 7)) + -5. Solve -4/7 - h*a - 2/7*a**4 + 6/7*a**2 + 2/7*a**3 = 0 for a.
-1, 1, 2
Let f(d) be the first derivative of 2*d**2 + 4/3*d**3 + 17 - 8*d. Factor f(o).
4*(o - 1)*(o + 2)
Suppose 10*j**2 + 28*j**3 - 9*j**3 - 17*j**3 - 7*j**2 + 19*j**2 = 0. Calculate j.
-11, 0
Let p(t) be the first derivative of -3*t**8/560 + t**7/70 - t**6/120 + 11*t**3/3 - 4. Let a(n) be the third derivative of p(n). Factor a(f).
-3*f**2*(f - 1)*(3*f - 1)
Let m be ((-6)/(-8))/(45/(-6)*52/(-560)). Factor 12/13*j**2 + 0*j - 10/13*j**4 - m*j**3 + 0.
-2*j**2*(j + 2)*(5*j - 3)/13
Let h(j) be the first derivative of j**7/280 + 14*j**3/3 - 7. Let u(c) be the third derivative of h(c). Factor u(z).
3*z**3
Let q(a) be the second derivative of -a**7/420 - a**6/45 - a**5/12 - a**4/6 + 7*a**3/3 + 8*a. Let n(r) be the second derivative of q(r). Solve n(y) = 0.
-2, -1
Let f(i) be the third derivative of i**10/30240 - i**9/4032 - i**8/4032 + i**7/336 + 17*i**5/60 + 9*i**2. Let l(b) be the third derivative of f(b). Factor l(h).
5*h*(h - 3)*(h - 1)*(h + 1)
Let u(j) be the second derivative of j**5/80 + 3*j**4/8 - 45*j**3/8 + 27*j**2 + 92*j + 2. Factor u(z).
(z - 3)**2*(z + 24)/4
Suppose -256*d - 368/9*d**2 - 288 + 64/9*d**3 - 2/9*d**4 = 0. Calculate d.
-2, 18
Let u = -2723 - -2723. Determine t so that u + 3/5*t**3 + 9/5*t**2 + 0*t = 0.
-3, 0
Suppose 4*j = 5*z + 12, 3*z - 6*j + j = -15. Factor 1/9*k**4 + z*k + 0 + 2/9*k**2 - 1/3*k**3.
k**2*(k - 2)*(k - 1)/9
Let c(d) be the first derivative of 3*d**4/28 - 12*d**3/7 - 45*d**2/14 + 78*d/7 - 237. Factor c(f).
3*(f - 13)*(f - 1)*(f + 2)/7
Let u = -824/15 + 55. Let o(b) be the second derivative of 2/5*b**2 - u*b**3 + 1/75*b**6 + 1/50*b**5 - 1/10*b**4 + 0 - 3*b. Factor o(a).
2*(a - 1)**2*(a + 1)*(a + 2)/5
Factor 0 + 1/7*c**3 + 1/7*c**5 - 18/7*c - 5/7*c**4 + 3*c**2.
c*(c - 3)**2*(c - 1)*(c + 2)/7
Let j(v) = -18*v + 3. Let i be j(0). Let r(b) be the first derivative of 4/3*b**i - 7 - 12*b + 4*b**2. Factor r(m).
4*(m - 1)*(m + 3)
Let z(i) = 14*i**2 - 64*i + 224. Let t(o) = -o**2 + 11*o - 10. Let m be t(9). Let d(f) = 9*f**2 - 43*f + 149. Let r(v) = m*d(v) - 5*z(v). Factor r(k).
2*(k - 6)**2
Let r(c) be the first derivative of -14*c**6/15 + 244*c**5/25 - 607*c**4/20 + 62*c**3/3 + 16*c**2/5 - 32*c/5 + 63. Determine t so that r(t) = 0.
-2/7, 1/2, 4
Let z(j) be the third derivative of j**7/525 - 3*j**6/25 + 64*j**5/25 - 256*j**4/15 + 25*j**2 + j. Suppose z(x) = 0. What is x?
0, 4, 16
Let y = 805 - 481. Find s, given that -18*s**2 + 252*s - 37*s**2 + y + 4*s**3 - 13*s**2 = 0.
-1, 9
Let n(l) be the third derivative of -l**7/5880 + l**5/280 + l**4/84 - l**3/3 + 2*l**2. Let d(f) be the first derivative of n(f). Factor d(h).
-(h - 2)*(h + 1)**2/7
Let c(d) be the third derivative of 0 - 1/14*d**3 - 1/420*d**5 + 0*d + 7*d**2 + 1/42*d**4. Let c(i) = 0. What is i?
1, 3
Factor 27*j + 58*j - 5*j**5 + 14*j**4 - 30 - 70*j**2 + 6*j**4.
-5*(j - 3)*(j - 1)**3*(j + 2)
Let q(h) be the third derivative of h**9/945 + h**8/210 + h**7/140 + h**6/180 + h**5/30 + 12*h**2. Let u(f) be the third derivative of q(f). Factor u(c).
4*(c + 1)*(4*c + 1)**2
Let w(h) be the first derivative of -2*h**3/3 + 5*h**2 + 48*h - 102. Factor w(v).
-2*(v - 8)*(v + 3)
Let w(q) = 35*q**3 + 180*q**2 + 1620*q + 4970. Let y(u) = -u**3 - u**2 - 4*u + 1. Let d(j) = w(j) + 30*y(j). Determine p, given that d(p) = 0.
-10
Suppose -3*j**2 + 2*j**2 + 12 - 4*j - 8*j + 11*j = 0. What is j?
-4, 3
Let g be (62/3)/((-6)/(-9)). Let 72 - 11*d**3 - 42*d**2 + 228*d + 66*d**2 + g*d**3 + 104*d**2 = 0. What is d?
-3, -2/5
Suppose 4*l = 4*d + 2*l - 42, 