e 24/7 + 20/7*j - 4/7*j**a = 0. What is j?
-1, 6
Suppose 4*s = 4*o - 3*o - 81, 3*s = -o + 116. Let x(p) = -o*p**2 + 116*p**2 - 11 + 5. Let h(i) = -44*i**2 - i + 17. Let m(g) = -6*h(g) - 17*x(g). Factor m(a).
3*a*(3*a + 2)
Suppose -4*z = 9*z - 130. Factor -184*k**2 - 5*k - z*k + 181*k**2 + 60*k.
-3*k*(k - 15)
Let i(n) be the second derivative of 2*n + 14/9*n**3 + 29 - 1/9*n**4 - 20/3*n**2. Factor i(u).
-4*(u - 5)*(u - 2)/3
Solve -1288/9*o - 25921/9*o**2 - 16/9 = 0.
-4/161
Let r(h) = h**2 + 3*h + 1. Let s(x) = -6*x**2 + 12*x + 4. Let v(m) = 6*r(m) - s(m). Let j(a) = -a - 1. Let p(g) = -10*j(g) - v(g). Factor p(b).
-4*(b - 1)*(3*b + 2)
Factor -1803239*w - 3*w**2 + 720 + 1803435*w + 7*w**2.
4*(w + 4)*(w + 45)
Let d = 511 - 507. Determine y, given that -13*y**3 + 12*y**3 + 6*y - 2*y + 5*y**2 - d*y = 0.
0, 5
Let k = 21 - 17. Suppose 0 = 2*a - a - k. Factor 2*f**5 - 2*f**3 - 12*f**2 - 2*f**a + 10*f**2 + 4*f**4.
2*f**2*(f - 1)*(f + 1)**2
Let r be ((-2)/9)/((-3)/27). Factor 35 + r*k + 58*k**2 - 53*k**2 + k - 95 + 17*k.
5*(k - 2)*(k + 6)
Suppose 4*a - 7 = 133. Let j = -33 + a. Factor -2*v**j - 16*v + 3*v**3 - 13*v**3 + 7*v**3 + 24 + 5*v**3.
2*(v - 2)**2*(v + 3)
Let f(m) be the third derivative of -m**5/240 - 121*m**4/96 + 125*m**3/6 + 1529*m**2. Determine a so that f(a) = 0.
-125, 4
Factor -291*z + 84*z - 6592 + 13191 + 192*z**2 - 6584.
3*(z - 1)*(64*z - 5)
Let p(f) be the third derivative of f**8/90 - 17*f**7/315 + 17*f**6/180 - f**5/18 - f**4/36 + 2*f**3/45 - 36*f**2 + 3*f. Find l such that p(l) = 0.
-1/4, 2/7, 1
Let x(o) be the third derivative of o**6/360 - 2*o**5/45 - 59*o**4/72 - 13*o**3/3 + o**2 + o - 19. Factor x(a).
(a - 13)*(a + 2)*(a + 3)/3
Factor -378/11 + 24/11*q + 2/11*q**2.
2*(q - 9)*(q + 21)/11
Let t(v) be the third derivative of -2*v + 0 + 8/27*v**4 + 1/540*v**6 + 25*v**2 - 13/270*v**5 - 20/27*v**3. Factor t(j).
2*(j - 10)*(j - 2)*(j - 1)/9
Let i(c) be the first derivative of -c**4/16 - 49*c**3/6 - 761. Factor i(y).
-y**2*(y + 98)/4
Let f(l) = 2*l**3 - 12*l**2 - 9*l - 27. Let j be f(7). Suppose -d - 2 = 5*c - j, -14 = -5*c + d. Factor -1/5*g**c - 1/5*g + 2/5.
-(g - 1)*(g + 2)/5
Let m be (-24)/38 - (-100794)/17898. Determine d, given that 2/5*d**2 - 4/5 - 4/5*d**m + 2/5*d**4 - 2*d + 14/5*d**3 = 0.
-1, -1/2, 1, 2
Let v be 3*2620/6*(-78)/(-195). Let b = v + -3662/7. Factor b*y + 1/7*y**2 + 9/7.
(y + 3)**2/7
Let y = 234 + 852. Let g = y + -1082. Suppose 16/7*j**2 + 4/7*j**5 - g*j**3 + 8/7*j**4 + 0 + 0*j = 0. Calculate j.
-4, 0, 1
Let v(j) be the first derivative of -4*j**5/15 - 16*j**4/3 + 76*j**3/3 - 8*j**2/3 - 304*j/3 - 463. Determine l so that v(l) = 0.
-19, -1, 2
Let z = 2754 + -2752. Let u(j) be the third derivative of -14*j**z + 0*j + 1/1575*j**7 + 0*j**3 + 0*j**5 + 1/300*j**6 + 0 - 1/45*j**4. Factor u(r).
2*r*(r - 1)*(r + 2)**2/15
Let b be (-1278)/(-120) - 18/(-120). Let z be 9 - (5 - 0) - (3 - 1). Find v, given that -b*v - 2/5*v**3 - 54/5 - 18/5*v**z = 0.
-3
Let t = -821/22 + 8225/198. Factor 40/9*i - 2/9 - t*i**2.
-2*(i - 1)*(19*i - 1)/9
Let h be (-2)/((75/76)/(-1) - -1). Let o = h + 158. Suppose -22*n + 27*n + 2*n - n**3 - o*n**2 = 0. What is n?
-7, 0, 1
Let z(p) = -4*p - 28. Let f be z(8). Let y = f - -62. Let 34 + 160 + 56*h + y + 4*h**2 = 0. Calculate h.
-7
Let d(f) be the third derivative of -1/1512*f**8 + 0*f**3 - 11/945*f**7 + 2/15*f**5 + 0*f - 2/45*f**6 + 0*f**4 + 37 + f**2. Factor d(t).
-2*t**2*(t - 1)*(t + 6)**2/9
Let d = 9/1210 + 7977/1210. Factor -3/5*y**3 - d*y**2 - 24*y - 144/5.
-3*(y + 3)*(y + 4)**2/5
Suppose 181*g - 7843 = 170*g. Let c = g + -3561/5. Factor 0*f**4 + 3/5*f - c*f**3 - 2/5*f**2 + 1/5*f**5 + 2/5.
(f - 2)*(f - 1)*(f + 1)**3/5
Let g(f) = 5*f - 3. Let w be 3/4*(-24)/(-18). Let l be g(w). Determine b so that -2*b**3 - 4 + 4*b**3 - b**l + 8*b - 5*b**3 = 0.
-2, 2/3, 1
Let y(a) be the second derivative of -5/4*a**5 + 57*a + 5/4*a**4 + 0 + 35/2*a**3 + 65/2*a**2. Find l such that y(l) = 0.
-1, 13/5
Let l(v) = 5*v**2 + 155*v + 3. Let b(u) = -3*u**2 + 4*u - 5. Let d be b(3). Let o(t) = 35*t**2 + 1085*t + 20. Let w(h) = d*l(h) + 3*o(h). What is y in w(y) = 0?
-31, 0
Let y(k) = k**3 + 12*k**2 - k - 10. Let c be y(-12). Suppose 4*v + s + 2 = 0, v + c*v - s - 2 = 0. Factor 0*q**3 + 14*q**2 + 5*q**3 + 30*q + v*q**3 + 11*q**2.
5*q*(q + 2)*(q + 3)
Determine j so that -1/5*j**4 - 58564/5*j**2 + 0 + 0*j - 484/5*j**3 = 0.
-242, 0
Let x(f) = f**3 + 360*f**2 + 2644*f + 5124. Let y(q) = -2*q**3 + 2*q + 2. Let w(o) = -x(o) + 2*y(o). Suppose w(j) = 0. What is j?
-64, -4
Let o = -9547 + 9550. Let u(f) be the first derivative of 2/21*f**3 - f**2 - 16/7*f - o. Factor u(m).
2*(m - 8)*(m + 1)/7
Factor 1190 - 4001 + n**2 + 965 + 39*n + 894.
(n - 17)*(n + 56)
Let n be -2 + 110/33 + (-142)/(-213). Factor 1/6*x**3 + 1/2*x + 3/2 - 5/6*x**n.
(x - 3)**2*(x + 1)/6
Let m(p) be the second derivative of 104/27*p**3 - 1352/9*p**2 - 1/27*p**4 - 3*p + 6. Factor m(w).
-4*(w - 26)**2/9
Let o = 430 - 428. Find k, given that -5910*k**2 + 3 + 45*k + 5900*k**o - 3 = 0.
0, 9/2
Let l = -1285 + 1302. Let h(w) = -34*w + 581. Let y be h(l). Factor 2/9*p**4 + 0*p - 2/9*p**y + 0 + 0*p**2.
2*p**3*(p - 1)/9
Suppose -3*m + 7 = -86. Let b(h) be the first derivative of -2/5*h**2 + 0*h + 4/15*h**3 + m. Factor b(r).
4*r*(r - 1)/5
Let f be 6/9*36/8. Let k(s) = -s**3 + 2*s**2 + 6*s - 5. Let t be k(f). Factor 2*o + 7*o + t*o**2 - o.
4*o*(o + 2)
Let b(f) be the third derivative of 121*f**6/24 - 4499*f**5/12 + 4075*f**4/24 - 185*f**3/6 + 2*f**2 - 72*f. Factor b(y).
5*(y - 37)*(11*y - 1)**2
Suppose 374*d = 784 + 381 - 417. Factor -68/5*q + 0 + 4/5*q**d.
4*q*(q - 17)/5
Find y, given that 2/17*y**2 - 16*y + 536/17 = 0.
2, 134
Let n be 3 + (-10)/30 + (-4)/6. Determine p so that 79*p + 53*p - 57 + 93 + 21*p**n = 0.
-6, -2/7
Let d(i) be the second derivative of -i**7/483 - 3*i**6/115 + 17*i**5/46 + 425*i**4/138 - 1000*i**3/23 + 2500*i**2/23 - 2*i + 593. What is x in d(x) = 0?
-10, 1, 5
Let k = 3/27121 + -36369273/108484. Let u = -335 - k. Find p, given that -1/4*p - 1/4*p**4 + u*p**3 + 1/4*p**2 + 0 = 0.
-1, 0, 1
Let c(d) be the second derivative of -d**5/60 - 15*d**4/2 - 1350*d**3 - 38*d**2 + 57*d + 2. Let r(b) be the first derivative of c(b). Solve r(p) = 0 for p.
-90
Let x be 2/3 - -4*714/(-72). Let t = x + 525/13. Factor t*i - 8/13*i**2 - 4/13.
-2*(i - 2)*(4*i - 1)/13
What is o in 584/3*o**2 + 192*o + 0 + 152/3*o**3 + 2/3*o**4 = 0?
-72, -2, 0
Let b = 1397/13 - 223507/2080. Let r(s) be the third derivative of 0*s + 0 - s**3 + b*s**6 - 21*s**2 + 17/32*s**4 - 1/8*s**5. Factor r(g).
3*(g - 8)*(g - 1)**2/4
Let v(s) = 706*s**3 - 4310*s**2 + 7902*s - 4608. Let t(y) = -942*y**3 + 5746*y**2 - 10535*y + 6144. Let g(c) = 10*t(c) + 13*v(c). Factor g(w).
-2*(w - 3)*(11*w - 16)**2
Factor 40/3 + 2/3*p**2 - 8*p.
2*(p - 10)*(p - 2)/3
Let k(q) be the third derivative of -q**5/210 - 31*q**4/14 + 376*q**3/21 + 3*q**2 - 4. Find i such that k(i) = 0.
-188, 2
Suppose -h - 6339 = 5*d, 4*h = 4*d + 4145 + 907. Let t = -16465/13 - d. What is g in t*g + 0 - 2/13*g**3 - 4/13*g**2 = 0?
-3, 0, 1
Let i(o) = -882*o + 31755. Let k be i(36). Let m(g) = -11*g**3 + g**2 + g + 1. Let n be m(-1). Find c such that -n*c**k + 45/4*c + 3/2 + 18*c**2 = 0.
-1/4, 2
Let f be (-55964)/(-19752) + 57/18. Factor -f + 5/8*w**2 + 59/4*w.
(w + 24)*(5*w - 2)/8
Let v = -11 + 7. Let h(j) = -5*j**2 + 3*j + 4. Let m be (-2)/(-3) + 28/12. Let w(o) = -4*o**2 + 2*o + 3. Let c(t) = m*h(t) + v*w(t). Factor c(x).
x*(x + 1)
Suppose 3*m + t - 50 = 0, -307 = -2*m - 5*t - 265. Suppose -22*r - m = -104. Factor 0*v**2 - 4/3*v**3 + 2/3 + 4/3*v - 2/3*v**r.
-2*(v - 1)*(v + 1)**3/3
Let h(o) = 2*o**2 + 102*o - 106. Let d be h(-52). Let z(s) = -65*s**2 + 770*s + 835. Let q(k) = -3*k**2 + 35*k + 38. Let y(g) = d*z(g) + 45*q(g). Factor y(r).
-5*(r - 8)*(r + 1)
Let g(y) be the first derivative of 73/9*y**3 + 201 + 1/12*y**4 - 1369/3*y + 1295/6*y**2. Solve g(w) = 0 for w.
-37, 1
Let s be (4/3)/(16/24). Let g be ((-84)/(-45) - 0)*9/s. Let 147/5 + 3/5*m**2 + g*m = 0. Calculate m.
-7
Let k(s) be the third derivative of 2*s**7/105 - 23*s**6/15 + 569*s**5/15 - 418*s**4/3 - 968*s**3 - 581*s**2 + s. Factor k(n).
4*(n - 22)**2*(n - 3)*(n + 1)
Let m(c) be the third derivative of c**4/8 - 31*c**3/6 - 10*c**2. Let z be m(11). Factor 29 - s**3 - 36*s**z + 35 + 