e of 1/9*w**3 + 0*w + 7/6*w**z + 12. What is y in j(y) = 0?
-7, 0
Let v(s) = -2*s**4 - 295*s**3 - 247*s**2 + 565*s. Let m(t) = t**4 + 197*t**3 + 164*t**2 - 377*t. Let g(p) = 7*m(p) + 5*v(p). Factor g(a).
-3*a*(a - 1)*(a + 2)*(a + 31)
Let s(y) = -y. Let t(l) = 157*l - 1280. Let d(o) = -2*s(o) - t(o). Let n(k) = k**2 - k. Let g(z) = d(z) + 5*n(z). Factor g(q).
5*(q - 16)**2
Let r be 32/(-72)*54/(-108). Suppose 8/9*u**2 - r*u**3 - 4/3 - 2/9*u = 0. What is u?
-1, 2, 3
Let a(s) = 842*s**2 - 426*s - 45. Let m(b) = 10947*b**2 - 5538*b - 609. Let l(c) = -27*a(c) + 2*m(c). Determine q, given that l(q) = 0.
1/140, 1/2
Suppose 124*k = 135*k - 22. Let t(b) be the first derivative of 1/16*b**4 - 1/3*b**3 + 32 - 1/8*b**k + b. Factor t(x).
(x - 4)*(x - 1)*(x + 1)/4
Let l(d) = -16*d**3 - 354*d**2 - 756*d - 274. Let t(r) = -31*r**3 - 707*r**2 - 1510*r - 550. Let f(y) = 22*l(y) - 10*t(y). Solve f(s) = 0.
-44/3, -2, -3/7
Suppose 4*k - z = k + 121, 5*z = 5*k - 195. Let q = 49 - k. Factor q - 20*i + 8 + 4 + 5*i**2.
5*(i - 2)**2
Let s(r) be the first derivative of -r**6/24 + r**5/2 - 17*r**4/8 + 13*r**3/3 - 37*r**2/8 + 5*r/2 - 567. Determine q so that s(q) = 0.
1, 2, 5
Let i(n) be the second derivative of -5/84*n**4 + 32*n + 2 - 1/210*n**6 + 1/35*n**5 + 0*n**2 + 1/21*n**3. Factor i(d).
-d*(d - 2)*(d - 1)**2/7
Suppose -32*o - 203 = 309. Let f(d) = -10*d**2 - 58*d - 220. Let a(j) = 3*j**2 + 20*j + 73. Let k(m) = o*a(m) - 5*f(m). Suppose k(l) = 0. What is l?
-2, 17
Let r(l) be the first derivative of 2/7*l**2 - 1/6*l**3 + 1/140*l**5 + 15*l + 25 + 1/42*l**4. Let h(a) be the first derivative of r(a). Factor h(w).
(w - 1)**2*(w + 4)/7
Let s be ((-10)/(-14))/((2552/77)/29). Let m be -2*(-2)/8 - 0. Factor 1/8*n**3 + n - s*n**2 - m.
(n - 2)**2*(n - 1)/8
Factor 3*y**4 + 3*y**2 + 7*y**2 - 3*y**4 - 6*y**4 - 20*y**3 - 4*y**4 + 5*y**5 + 15*y.
5*y*(y - 3)*(y - 1)*(y + 1)**2
Solve 14/11*q - 8/11*q**5 + 20/11*q**4 - 6/11*q**3 - 17/11*q**2 - 3/11 = 0.
-1, 1/2, 1, 3/2
Let g = -3059583/314356 - -4535/436. Let c = g - 10/103. Factor 0*b + 16/7*b**3 + 0 - 8/7*b**4 + 32/7*b**2 - c*b**5.
-4*b**2*(b - 2)*(b + 2)**2/7
Factor -3/5*o**3 - 99228483/5 - 927369/5*o - 2889/5*o**2.
-3*(o + 321)**3/5
Determine h so that -174/5*h + 2/5*h**2 + 68 = 0.
2, 85
Let l = -245 - -241. Let q be ((-72)/(-882))/(l/(-14)). Factor 2/7*x**2 + q*x - 2/7*x**3 - 2/7.
-2*(x - 1)**2*(x + 1)/7
Let c(o) = -4*o**3 + 434*o**2 - 16*o - 464. Let w(v) = v**3 - 145*v**2 + 5*v + 154. Let u(r) = -6*c(r) - 20*w(r). Factor u(i).
4*(i - 1)*(i + 1)*(i + 74)
Let d(i) = -2*i**3 + i**2 - 2*i - 2. Let j(l) = -14*l**3 + 24*l**2 + 10*l - 4. Let h(b) = -8*d(b) + j(b). Solve h(p) = 0.
-6, -1
Let k be (188/(-1269))/(-1 + (-21)/(-27)). Let u(c) be the second derivative of 0 - 12*c**2 + 1/3*c**4 + 16*c + k*c**3. Factor u(i).
4*(i - 2)*(i + 3)
Let l = -28655/24 - -1194. Let g(u) be the third derivative of -1/12*u**3 + 0 - 1/120*u**5 + 0*u + l*u**4 - 9*u**2. Determine r, given that g(r) = 0.
1
Suppose -2*y = -3*o - 6, 1436 - 1434 = -4*o + 2*y. Determine k so that -4/5*k**3 - 86/15*k + 2/3*k**o - 2 + 2/15*k**5 - 76/15*k**2 = 0.
-5, -1, 3
Suppose 27/4 - 15/2*r**2 - 81/4*r = 0. What is r?
-3, 3/10
Let d(a) be the third derivative of -a**5/20 - 33*a**4/2 - 256*a**3 - 351*a**2 + 3. What is p in d(p) = 0?
-128, -4
Let u be 14/(-4)*(-80)/35 + (4 + -3 - 7). Suppose -2/7*f**u + 58/7*f - 8 = 0. What is f?
1, 28
Suppose 66*m + 107*m - 3*m = 0. Let g(c) be the second derivative of -1/3*c**4 + 11*c + 0 + m*c**2 - 4/3*c**3. Factor g(a).
-4*a*(a + 2)
Let u = 5/109 - -34/1635. Let p(v) be the third derivative of 0*v + u*v**5 + 0 - 4/3*v**3 - 12*v**2 + 1/6*v**4. Suppose p(j) = 0. What is j?
-2, 1
Let o(r) = 7*r**3 - 53*r**2 + 29*r + 35. Let v(i) = -i**3 + 7*i**2 - i. Let b(a) = o(a) + 6*v(a). Factor b(q).
(q - 7)*(q - 5)*(q + 1)
Let o(z) = 12*z - 18. Let t be o(2). Determine l so that 4 - 4 + 9*l**2 + 84*l + 0*l**2 + t*l**3 - 9*l**3 = 0.
-4, 0, 7
Let y(j) = 3*j**2 + 5866*j - 4. Let a(t) = -12*t**2 - 23493*t + 18. Let b(o) = 2*a(o) + 9*y(o). Determine h so that b(h) = 0.
-1936, 0
Let y(q) be the second derivative of q**6/15 + q**5 + 2*q**4 - 58*q**3/3 + 35*q**2 + 91*q - 3. Determine a, given that y(a) = 0.
-7, -5, 1
Factor 0 + 152/5*x**2 - 2/5*x**3 - 2888/5*x.
-2*x*(x - 38)**2/5
Let o = -624498 + 4371488/7. Factor -o*r**2 + 0 + 22/7*r.
-2*r*(r - 11)/7
Let x(k) be the third derivative of k**6/24 + 4*k**5 + 1275*k**4/8 + 3375*k**3 + 124*k**2 - 9*k + 1. Suppose x(b) = 0. What is b?
-18, -15
Find q, given that 9*q**4 + 0 - 18*q**3 - 9/2*q - 3/2*q**5 + 15*q**2 = 0.
0, 1, 3
Let r(m) be the third derivative of -5*m + 0 + 5/48*m**4 - 1/240*m**5 + 11/24*m**3 - 12*m**2. Suppose r(z) = 0. What is z?
-1, 11
Suppose -1148917 + 479*f + 5577*f + 850535 - 1993814 - 4*f**2 = 0. What is f?
757
Let c(n) be the first derivative of 5*n**6/6 - 35*n**4/4 + 10*n**3 - 880. Factor c(w).
5*w**2*(w - 2)*(w - 1)*(w + 3)
Let s(k) be the third derivative of 10*k**8/21 - 242*k**7/105 + 41*k**6/10 - 43*k**5/15 + k**4/6 + 1773*k**2 - k. Solve s(z) = 0 for z.
0, 1/40, 1
Suppose -a = -3*a - 5*w + 360, 4 = 2*w. Let q = a - 1222/7. Factor -6/7*s - 9/7 + q*s**2.
3*(s - 3)*(s + 1)/7
Let m be (-2793)/14*3/((-36)/16). Determine j, given that 13 + 7 + 5*j**2 + m*j - 291*j = 0.
1, 4
Let o(h) be the first derivative of 0*h + 3/4*h**2 + 3/8*h**4 + 30 + h**3. Factor o(t).
3*t*(t + 1)**2/2
Let n(r) be the first derivative of 0*r**2 - 16/57*r**3 + 0*r + 43 - 1/57*r**6 - 6/19*r**4 - 12/95*r**5. Find w such that n(w) = 0.
-2, 0
Let b be 23/(2300/(-75)) + (161/140 - -5). Factor 3*x**3 - b*x + 3/5*x**4 + 9/5*x**2 + 0.
3*x*(x - 1)*(x + 3)**2/5
Let x be ((-10)/(-7))/((160/1120)/(1 - 0)). Let s(a) be the first derivative of x*a + 5/3*a**3 + 15/2*a**2 + 2. Factor s(o).
5*(o + 1)*(o + 2)
Let d(i) be the first derivative of i**4/2 + 4*i**3 - 75. Factor d(s).
2*s**2*(s + 6)
Let d(l) = -41*l + 243. Let c be d(6). Let r(i) = -i**3 + 20*i**2 + 30*i - 3. Let h(p) = 20*p**2 + 26*p - 2. Let t(u) = c*h(u) + 2*r(u). Factor t(x).
-2*x*(x + 1)*(x + 9)
Let i(r) = -8*r + 19. Let j be i(4). Let o = j - -15. Determine d so that -2*d + 0*d**4 + 4*d**3 - o*d + 2 + 0*d - 2*d**4 = 0.
-1, 1
Let g be 40/(-70) - 156/(-28). Factor s**2 - 2*s**3 + 5*s - 18*s**3 + 34*s**2 + g*s.
-5*s*(s - 2)*(4*s + 1)
Factor -432*s - 728*s**2 + 487*s**2 - 3*s**3 + 313*s**2.
-3*s*(s - 12)**2
Let f(s) be the second derivative of -1/168*s**7 - 10/3*s**3 - 1/2*s**5 - 4*s**2 + 0 - 5/3*s**4 - 1/12*s**6 + 76*s. What is t in f(t) = 0?
-2
Factor 33 - 7*l**3 - 204*l + 2908*l - 2180*l**2 - 573 + 23*l**3.
4*(l - 135)*(l - 1)*(4*l - 1)
Let x(p) = -p**2 + 25*p - 58. Let f be x(2). Let y be ((-108)/(-240))/(f/(-32)). Suppose -9/5*j + 3/5*j**2 + 3/5*j**4 + 9/5*j**3 - y = 0. Calculate j.
-2, -1, 1
Let x(n) be the third derivative of n**8/2240 - n**6/160 - n**5/80 - 8*n**3 - 39*n**2. Let y(v) be the first derivative of x(v). Find i, given that y(i) = 0.
-1, 0, 2
Factor -554/3*v**2 + 0 - 4*v.
-2*v*(277*v + 6)/3
Suppose -v + 87 = 145*p - 146*p, 7*v - 3*p - 561 = 0. Factor -10*t + 1/3*t**2 + v.
(t - 15)**2/3
Let f = 149392 + -746933/5. Determine j, given that 0 - f*j**2 - 3/5*j - 54/5*j**3 = 0.
-1/3, -1/6, 0
Find m such that -552 + 14/3*m**2 - 2890/3*m = 0.
-4/7, 207
Suppose 10 = -2*b - 2*w, -b - 4*b = -2*w + 4. Let y be 4/(-5) + b*24/(-10). Solve -3*l**3 + l + 4*l**3 - 5*l + 3*l - 3*l**2 + l**y + 2 = 0.
-2, -1, 1
Let t(p) be the first derivative of 2*p**5/45 + 25*p**4/18 + 16*p**3/9 + 455. Solve t(f) = 0.
-24, -1, 0
Let v(q) be the first derivative of -q**3/3 + 3*q**2 + 7*q - 1086. Factor v(g).
-(g - 7)*(g + 1)
Let r be ((-768)/224)/(45/(-30)). Factor r*i**3 + 24/7 + 2/7*i**4 + 8*i + 46/7*i**2.
2*(i + 1)*(i + 2)**2*(i + 3)/7
Let f = -22 + 26. Suppose 2*a = a + 5*c - 21, 0 = -f*a + c + 11. Factor 5*p**3 + 1302*p**2 - 10*p**a + 5*p**5 - 1302*p**2.
5*p**3*(p - 1)**2
Let g be (-18)/(-30) + -1 + (-8128)/(-70). Let j = 117 - g. Factor 0 - 3/7*q**4 + 0*q**3 + 6/7*q + j*q**2.
-3*q*(q - 2)*(q + 1)**2/7
Let m(k) be the second derivative of -1/8*k**4 + 1/40*k**5 + 63*k + 1 + 1/4*k**3 - 1/4*k**2. Factor m(g).
(g - 1)**3/2
Let y(q) be the second derivative of -q**4/6 + 45*q**3 + 274*q**2 - 293*q + 2. Suppose y(u) = 0. What is u?
-2, 137
Let m = 21 + -52. Let q = 31 + m. Factor q*o**3 - 4*