*i + 12 = -5467*i, 0 = -3*i + 12. Factor -1/2*d**4 + d**3 + 0*d + 0*d**q + 0 - 1/2*d**5.
-d**3*(d - 1)*(d + 2)/2
Let r(q) = q**4 - 2*q**3 + 3*q. Let m(g) = g**3 - g. Let x(k) = k**2 - 11*k + 12. Let t be x(10). Let u(l) = t*r(l) + 6*m(l). Factor u(h).
2*h**3*(h + 1)
Let v = -39 + 41. Let y = 3 + v. Find u such that u**3 - 4*u**3 + 10*u**2 + 8 + y*u**3 + 16*u = 0.
-2, -1
Let k(f) be the third derivative of -f**5/20 - 13*f**4/3 + 35*f**3/6 + 4011*f**2 + f + 2. Factor k(g).
-(g + 35)*(3*g - 1)
Let h(b) = -b**2 + 40*b + 95. Suppose x + 2*x = -15. Let c = 432 - 444. Let m(q) = 2*q**2 - 100*q - 238. Let a(j) = c*h(j) + x*m(j). Factor a(y).
2*(y + 5)**2
Suppose -x - 3 = 0, -20 = -5*g - 4*x - x. Suppose -g*n = 4*n - 308. Determine j, given that 4*j**4 - 4 - n*j**3 + 72*j**2 + 27 - 80*j + 9 = 0.
1, 2
Let g(z) be the first derivative of -z**4/14 - 6*z**3/7 - 18*z**2/7 + 1236. Find n such that g(n) = 0.
-6, -3, 0
Let f(s) be the third derivative of s**6/84 - 83*s**5/210 - 17*s**4/42 + 39*s**2 - 1. Determine r so that f(r) = 0.
-2/5, 0, 17
Let h be (-1221)/4 + (-46)/(-184). Let x = 931/3 + h. Factor 8*c**2 - 32/3*c + 1/3*c**4 + x - 8/3*c**3.
(c - 2)**4/3
Factor -29*m - 3 + 6*m + 18 - 21*m + 24*m**2 + 9 - 4*m**3.
-4*(m - 3)*(m - 2)*(m - 1)
Let c(y) be the first derivative of -y**6/360 - y**5/60 + y**4/8 - 94*y**3/3 + 94. Let l(t) be the third derivative of c(t). Solve l(a) = 0.
-3, 1
Let b(m) = -8*m**3 + 60*m**2 + 28*m - 12. Let o(g) = 2*g**3 - 60*g**2 - 29*g + 12. Let a(i) = 3*b(i) + 4*o(i). Let a(c) = 0. Calculate c.
-3, -1, 1/4
Suppose -106*v + 6 = -105*v + m, -5*v = 4*m - 24. Factor -2/5*c - 8/5*c**2 + v.
-2*c*(4*c + 1)/5
What is a in 199*a - 3*a**2 - 158*a + 7*a**2 + 935*a + 972 = 0?
-243, -1
Let f be (-511)/(-693) + 33/(6897/(-38)). Find r such that 1/9*r**2 + 1/3*r**3 - f - 7/9*r = 0.
-1, 5/3
Let o(s) be the second derivative of -1/63*s**7 + 0*s**2 + 0 - 1/90*s**6 + 1/36*s**4 + 101*s + 1/20*s**5 - 1/18*s**3. Find c such that o(c) = 0.
-1, 0, 1/2, 1
Let j(m) = -36*m**2 + 4*m - 2. Let g be j(1). Let s(d) = -1333*d**2 - 146*d - 6. Let p(u) = 222*u**2 + 24*u + 1. Let h(l) = g*p(l) - 6*s(l). Factor h(f).
2*(15*f + 1)**2
Let w be 11/((-66)/(-18)) + 3*1. Factor -30*p + 39*p**2 + 6*p**3 + 12*p**3 + w*p**3 - 3*p**4 - 30*p**3.
-3*p*(p - 2)*(p - 1)*(p + 5)
Suppose 199 - 107 = 23*t + 46. Factor -4/3*j**t + 4/3 + 2/3*j**3 - 2/3*j.
2*(j - 2)*(j - 1)*(j + 1)/3
Let h(p) be the second derivative of -7*p**4/16 + 59*p**3/8 + 99*p**2/4 + 4*p - 384. Factor h(o).
-3*(o + 1)*(7*o - 66)/4
Let x(i) = -i**2 - 23*i - 120. Let t be x(-8). Let r be (t + -2 + 1)/((-65)/195). Find b, given that -b**2 + 1/2 + 1/2*b**4 + 1/2*b**r - 1/4*b - 1/4*b**5 = 0.
-1, 1, 2
Suppose 0 = 5*a + 4*r + 417 - 146, -3*r = 12. Let h = 75 + a. Factor 3*q**4 - h*q**5 + 28*q**5 - 19*q**4 + 20*q**3 - 8*q**2.
4*q**2*(q - 2)*(q - 1)**2
Factor -4/3*o**3 + 512/9 - 64/9*o**2 + 64/9*o.
-4*(o + 4)**2*(3*o - 8)/9
Suppose -5*j + 2 = -4*z, -103*z - 2*j = -106*z + 2. Suppose -3*w - z*w**2 - 5*w + 2*w**4 + 17*w - w**5 - 8*w = 0. Calculate w.
-1, 0, 1
Let -1/5*i**2 - 4149369/5 - 4074/5*i = 0. Calculate i.
-2037
Solve 1/6*d**2 - 103/2 + 154/3*d = 0.
-309, 1
Let d = -118 + 192. Let n = d - 71. Solve 3*o**2 + 4 - 18 + 10 - o**n = 0.
-1, 2
Let j be (-3 - (-10 + 1)) + -4. Factor -24*s + 16 - 2*s**j + 0 + 0*s + 10.
-2*(s - 1)*(s + 13)
Let d(h) = -2*h**3 + h**2 - 4*h - 4. Let v be d(-1). Factor 6*u + 3*u**v + 93218 - 93218 + 9*u**2.
3*u*(u + 1)*(u + 2)
Let o(j) = 5*j**2 + 80*j - 3. Let f(x) = -2 - 4 + 4 + 1. Let k(w) = 3*f(w) - o(w). Determine g, given that k(g) = 0.
-16, 0
Let d(u) = 3*u**2 - 18*u - 21. Let n be d(8). Factor -29 + 27*a - 19 - 2*a**2 - 22 + 72*a - n*a.
-2*(a - 35)*(a - 1)
Let r(g) be the third derivative of g**5/20 + 51*g**4/8 + 115*g**3 - g**2 - 1315*g. Factor r(a).
3*(a + 5)*(a + 46)
Let z = -11152 + 11158. Let n(m) be the third derivative of -2/195*m**5 + 0 + 1/52*m**4 + 1/780*m**z + 5*m**2 + 0*m + 0*m**3. Find d, given that n(d) = 0.
0, 1, 3
Let d be (-4)/(5 - 567/113). Let k = -670/3 + d. Let -2*t**3 - 8/3*t**2 + k*t**4 - 2/3*t**5 + 0 + 8/3*t = 0. What is t?
-1, 0, 1, 2
Let p(u) be the second derivative of u**4/18 - 806*u**3/27 - 269*u**2/9 + 67*u + 2. Determine i so that p(i) = 0.
-1/3, 269
Let h(b) = 9*b**2 - 8*b + 39. Let x(s) = -5*s**2 + 4*s - 20. Let p(y) = 6*h(y) + 11*x(y). Let m be p(-6). Factor 42*n**m + 2*n + n - 45*n**2.
-3*n*(n - 1)
Suppose y = -s - 7, -14 = -110*y + 114*y + 2*s. Factor -47/2*n**2 + 9*n + y - 29*n**3 + 7/2*n**4.
n*(n - 9)*(n + 1)*(7*n - 2)/2
Let x(m) be the second derivative of -m**4/66 - 1267*m**3/33 - 14*m - 21. Factor x(r).
-2*r*(r + 1267)/11
Suppose -54*k - 3 = -55*k. Let b(s) = -2*s**3 + 3*s**2 - 1. Let r(c) = 3*c**4 + 120*c**3 + 954*c**2 - 2280*c + 1203. Let x(j) = k*b(j) + r(j). Factor x(u).
3*(u - 1)**2*(u + 20)**2
Let v(n) = 70*n**3 - 140*n**2 + 1376*n - 2302. Let c(z) = -8*z**3 + 15*z**2 - 153*z + 256. Let h(f) = 52*c(f) + 6*v(f). Let h(x) = 0. Calculate x.
5
Let c(d) = -d**5 + 17*d**4 - 34*d**3 + 9*d**2 + 3*d. Let b(x) = 16*x**4 - 36*x**3 + 8*x**2 + 4*x. Let q(h) = 3*b(h) - 4*c(h). Factor q(v).
4*v**2*(v - 3)*(v - 1)**2
Let p = -64960/13 - -4998. Determine u, given that 4/13*u**4 + 0*u - p*u**3 + 0 + 2/13*u**5 + 8/13*u**2 = 0.
-4, 0, 1
Let n(c) be the second derivative of -c**7/14 - 9*c**6/5 + 162*c**5/5 + 540*c**4 - 13608*c**3 + 104976*c**2 + c + 229. Factor n(x).
-3*(x - 6)**3*(x + 18)**2
Let l = -141 - -202. Suppose -13 = 4*k - l. Factor 52*b**2 - k + 3*b**3 - 13*b**3 - 8*b - 22*b**3.
-4*(b - 1)**2*(8*b + 3)
Let w(u) be the first derivative of -16/13*u**2 + 40/13*u - 100 + 2/39*u**3 + 1/26*u**4. Find s such that w(s) = 0.
-5, 2
Let w(r) be the second derivative of -r**4/12 + r**3/6 + 3*r**2 + 6*r + 34. Factor w(s).
-(s - 3)*(s + 2)
Let k be 10/55 + (7 - 7718/1309). Factor -k*n**2 + 0 - 3/7*n.
-3*n*(3*n + 1)/7
Suppose -274*d = 410 - 958. Let o(y) be the third derivative of 0 - 29*y**d + 2*y**3 - 5/8*y**4 + 1/20*y**5 + 0*y. What is t in o(t) = 0?
1, 4
Let s(h) be the second derivative of -30*h**2 + 150*h + 7/3*h**3 + 0 + 1/6*h**4. Factor s(q).
2*(q - 3)*(q + 10)
Let b(y) be the second derivative of 7*y**6/90 + y**5/2 + 4*y**4/3 - 73*y**3/6 + 21*y - 2. Let k(x) be the second derivative of b(x). Factor k(f).
4*(f + 1)*(7*f + 8)
Let z(i) be the first derivative of -i**3/2 - 141*i**2/2 - 6627*i/2 - 748. Let z(w) = 0. Calculate w.
-47
Let f(u) be the second derivative of 11/24*u**5 - 13/90*u**6 + 0*u**3 - 52*u - 7/18*u**4 - 1 + 0*u**2 - 1/252*u**7. Suppose f(i) = 0. What is i?
-28, 0, 1
Factor 12/7*v**2 + 376/7*v + 124/7.
4*(v + 31)*(3*v + 1)/7
Let r(h) be the second derivative of -1/4*h**3 + 19/12*h**4 + 20*h + 0*h**2 + 2 - 169/240*h**6 - 91/32*h**5. What is s in r(s) = 0?
-3, 0, 2/13
Let k(j) be the third derivative of j**5/60 - 5*j**4/8 + 8*j**3/3 + 4*j**2. Let x be k(14). Find r such that 2 - 2*r**x + 4 + 1 + 1 = 0.
-2, 2
Let s(d) be the third derivative of d**7/840 - 133*d**6/480 - d**5/80 + 397*d**4/96 + 133*d**3/12 + 8430*d**2. Factor s(g).
(g - 133)*(g - 2)*(g + 1)**2/4
Let l be 40/(-70) - (-29)/14. Let h be 112/14 + (-4 - 1). Determine c so that 3/2*c**2 + 3*c**3 - h*c**4 + 3/4*c**5 - 15/4*c + l = 0.
-1, 1, 2
Let c be (109/(-10))/(((-2310)/7)/10). Let v = 1/330 + c. What is z in -v*z**2 - 2/3 - 7/6*z + 1/6*z**3 = 0?
-1, 4
Factor 53*w**2 + 600*w + 6*w**2 + 1692 - 7458*w**3 + 7459*w**3.
(w + 6)**2*(w + 47)
Let v be (2*(-2)/12)/((-7)/84). Let i(q) = q**3 + 2*q**2 - 4*q + 2. Let t be i(3). Solve 45*n**3 + t*n**2 + 10*n - 3*n**5 + 25*n**4 + v*n**5 + 4*n**5 = 0.
-2, -1, 0
Let r(y) be the second derivative of y**7/35 + 17*y**6/50 - 27*y**5/100 - 79*y**4/4 - 205*y**3/2 - 225*y**2 + 4539*y. Determine g, given that r(g) = 0.
-5, -2, -3/2, 5
Suppose m + 1 = 2*a, m - 5*a + 19 = 12. Factor 0*q**2 + 0 - 2/13*q**5 + 0*q**m + 4/13*q**4 + 0*q.
-2*q**4*(q - 2)/13
Let c(q) = 4*q**2 + q + 2. Let i(a) = 15*a**2 - 60*a - 1016. Let w(f) = 4*c(f) - i(f). Factor w(d).
(d + 32)**2
Let l = 9316 + -9316. Let j(w) be the first derivative of -2/21*w**6 + 0*w**3 + l*w**2 + 1/7*w**4 + 0*w**5 + 0*w + 12. Factor j(n).
-4*n**3*(n - 1)*(n + 1)/7
Let g(z) be the first derivative of -z**6/72 - 5*z**5/12 - 19*z**3 + 2*z + 27. Let j(t) be the third derivative of g(t). Factor j(d).
-5*d*(d + 10)