Suppose r(n) = 0. Calculate n.
-115, -2
Suppose 10*h - 53 - 7 = 0. Factor -5 + 5 + t**3 + 10*t - 6 + 14*t**2 - h - 9*t**3.
-2*(t - 2)*(t + 1)*(4*t - 3)
Let n(p) be the second derivative of 5*p**4/72 - 55*p**3/18 - 20*p**2 + 2*p - 316. Factor n(m).
5*(m - 24)*(m + 2)/6
Let n(x) be the second derivative of -x**8/33600 - x**7/2100 + 7*x**6/3600 - 155*x**4/12 + 26*x - 2. Let o(r) be the third derivative of n(r). Factor o(m).
-m*(m - 1)*(m + 7)/5
Find s such that 0 - 3*s**3 - 3/2*s**4 + 36*s**2 + 0*s = 0.
-6, 0, 4
Solve -3/2*d**2 + 993*d - 328683/2 = 0.
331
Suppose 2*a - 20 = 4*h, a + 26 = -5*h + 15. Let o be (a/(-9))/(28/(-42)). Determine r so that -2 - 4/3*r + o*r**2 = 0.
-1, 3
Find h, given that 157708788/11*h**3 + 155448200628/11*h**2 + 155763778086/11 - 311369740794/11*h + 6/11*h**5 + 53286/11*h**4 = 0.
-2961, 1
Let v(u) = -36*u**2 + 50*u - 14. Let h = 12759 + -12715. Let a(c) = 0 - 5*c**2 - 2 + 0 + 7*c. Let b(j) = h*a(j) - 6*v(j). Let b(w) = 0. Calculate w.
1
Suppose 40*d**2 + 20430*d - 20466*d + 236*d**4 - 237*d**4 + 8*d**3 + d**3 - 144 = 0. Calculate d.
-3, -2, 2, 12
Factor -3520*z - 32/9*z**4 - 4608 - 3746/9*z**2 + 880/9*z**3.
-2*(z - 16)**2*(4*z + 9)**2/9
Suppose -140*f + 128*f - 120 = 0. Let s be ((-200)/30)/f*6. Factor -1/3*l**3 + 0 - 4/3*l**s + l**5 + 2/3*l**2 + 0*l.
l**2*(l - 1)**2*(3*l + 2)/3
Let b(o) = -21*o**3 - 216*o**2 - 234*o - 48. Let x(r) = -23*r**3 - 215*r**2 - 232*r - 48. Let y(f) = 8*b(f) - 9*x(f). Find h, given that y(h) = 0.
-4, -1, -4/13
Let f(z) = z**4 + 10*z**3 + 14*z**2 + 17*z + 6. Let h(g) = g**3 - g**2. Let l be (-3 - -1)*(-3)/6. Let w(j) = l*f(j) - 3*h(j). Factor w(t).
(t + 1)**2*(t + 2)*(t + 3)
Let q = 259 + -242. Factor 5*l**2 - 67 - 123 + 115*l - 43 - q.
5*(l - 2)*(l + 25)
Suppose -97254250/13 - 2190/13*n**2 - 799350/13*n - 2/13*n**3 = 0. What is n?
-365
Let n be ((-12)/1320)/((-2)/(-15)). Let k = 215/572 + n. Factor 18/13*u**4 - 22/13*u**3 + k*u**2 + 0 + 0*u.
2*u**2*(u - 1)*(9*u - 2)/13
Let x(w) be the first derivative of -6/7*w**2 + 4/35*w**5 + 0*w + 251 - 1/7*w**4 - 20/21*w**3. Factor x(a).
4*a*(a - 3)*(a + 1)**2/7
Let o(d) = -d**2 + 6*d + 11. Let l be (7*2/(-4))/((-4)/8). Let c be o(l). Solve -5*h + c*h**2 + 11*h + 0*h**2 + 10*h = 0.
-4, 0
Let o = -63295 - -189937/3. Determine n, given that o*n**2 + 16/3 + 4/3*n**4 - 8*n**3 - 16*n = 0.
1, 2
Factor 47998 - 96003 + 16*z - 16*z**3 - 4*z**4 + 24*z**2 + 47985.
-4*(z - 1)**2*(z + 1)*(z + 5)
Factor 22/13*b**2 + 2/13*b**4 + 14/13*b**3 + 10/13*b + 0.
2*b*(b + 1)**2*(b + 5)/13
Let f(c) be the second derivative of -c**5/10 + 13*c**4/6 - 40*c**3/3 + 36*c**2 - 2261*c. Factor f(y).
-2*(y - 9)*(y - 2)**2
Let t(c) be the first derivative of 7*c**6/3 - 1186*c**5/5 - 1009*c**4 - 1112*c**3/3 + 2456*c**2 + 1408*c + 12769. Let t(f) = 0. What is f?
-2, -2/7, 1, 88
Let m be 10/9 + 276/(-621). Let b(w) be the first derivative of 0*w + 5*w**2 - m*w**3 + 20. Factor b(k).
-2*k*(k - 5)
Let y(g) be the first derivative of 128*g**4/15 - 704*g**3/45 - 59*g**2/3 - 20*g/3 - 1559. Find o such that y(o) = 0.
-5/16, 2
Let p(u) = u**3 - 3*u**2 - 9*u + 9. Let o be p(5). Suppose 5*k + 4*a = 16, 13*k - o*k - 12 = -3*a. Suppose 2/9*w**3 + k*w - 4/9*w**2 + 0 = 0. Calculate w.
0, 2
Let b(p) be the third derivative of -p**8/1680 - 22*p**7/525 + 197*p**6/300 - 56*p**5/15 + 413*p**4/40 - 78*p**3/5 + 2*p**2 - 365*p. Solve b(l) = 0.
-52, 1, 3
Let b = -3 + 54. Let f = b - 49. Suppose 77 + 35*u + 40*u**f - 67 + 16*u**3 - u**3 = 0. Calculate u.
-1, -2/3
Suppose 15 - 45 = z + 3*o, -7*o - 62 = 5*z. Determine p so that -4/7*p**4 + 36/7*p**2 + 2/7*p**5 + 0 - 18/7*p - 16/7*p**z = 0.
-3, 0, 1, 3
Let o(s) = -s**3 + 173*s**2 + 1204*s - 4. Let j(t) = -3*t**3 + 696*t**2 + 4809*t - 15. Let g(k) = -4*j(k) + 15*o(k). Factor g(f).
-3*f*(f + 7)*(f + 56)
Factor 40*s**2 - 28*s - 39*s + 52*s**3 - 46*s - 53*s**3 + 74.
-(s - 37)*(s - 2)*(s - 1)
Suppose -3*z + 13*z - 620 = 0. Find y, given that -74*y**2 + 0 + 18*y + z*y**3 - 2063*y**4 + 0 + 2057*y**4 = 0.
0, 1/3, 1, 9
Determine x so that 100 - 22/3*x**2 + 278/3*x = 0.
-1, 150/11
Factor -39*o - 7*o**2 + 8*o**2 - 317 - 2*o - 745.
(o - 59)*(o + 18)
Let w be -3*(-2 + (-13)/3). Let w*q**2 - 16*q**2 - 12*q - q**2 + 10 = 0. Calculate q.
1, 5
Let x be ((-8)/5)/((-749)/245 + 3). Suppose -2501 + 2501 - x*u**3 + 120*u**2 - 32*u = 0. Calculate u.
0, 2/7, 4
Let s(x) = -3*x - 36. Let w be s(-13). Let i be 2/29 - (41310/(-1479) + -20). Factor 22*k**4 - i*k**w - 7/2*k**5 - 8*k + 0 + 40*k**2.
-k*(k - 2)**3*(7*k - 2)/2
Let m = -20248/126259 - 26/1061. Let x = 983/476 - m. Factor 0 - 3/2*a**3 + 33/8*a**2 - x*a - 3/8*a**4.
-3*a*(a - 1)**2*(a + 6)/8
Let x = 1375910 - 1375910. Find q such that -2/5*q**2 - 2*q + x = 0.
-5, 0
Let f be ((-2)/240)/(-154 + 150). Let v(w) be the third derivative of 0 - 1/240*w**5 + 1/24*w**3 - 23*w**2 + 0*w - 1/96*w**4 + f*w**6. Factor v(j).
(j - 1)**2*(j + 1)/4
Let f(y) be the first derivative of 3/4*y**4 + 0*y**2 - 3/25*y**5 - 3/5*y**3 + 0*y + 16 - 1/10*y**6. Factor f(k).
-3*k**2*(k - 1)**2*(k + 3)/5
Find g such that 0*g**2 + 6/7*g**3 + 8/7*g**4 + 0*g + 0 + 2/7*g**5 = 0.
-3, -1, 0
Let r(n) be the second derivative of -n**6/15 - 13*n**5/2 - 127*n**4/6 - 21*n**3 + 13*n - 7. Factor r(s).
-2*s*(s + 1)**2*(s + 63)
Let d(j) be the second derivative of -4*j - 4 - 5/9*j**3 - 4/9*j**4 + 50/3*j**2 - 1/30*j**5. What is t in d(t) = 0?
-5, 2
Let k(r) be the first derivative of 2/55*r**5 - 2/11*r**2 + 63 + 0*r + 4/33*r**6 - 2/3*r**3 - 6/11*r**4. Determine p, given that k(p) = 0.
-1, -1/4, 0, 2
Let y(x) be the second derivative of -x**5/20 + x**4/2 + 13*x**3/6 - 21*x**2 + 42*x. Factor y(a).
-(a - 7)*(a - 2)*(a + 3)
Let t(d) = -39*d**3 + 216*d**2 - 984*d - 240. Let y(u) = -8*u**3 + 43*u**2 - 197*u - 50. Let b(j) = -5*t(j) + 24*y(j). Factor b(k).
3*k*(k - 8)**2
Let o(b) be the first derivative of b**4/2 - 1478*b**3/3 + 135415*b**2 + 825846*b - 10792. Factor o(u).
2*(u - 371)**2*(u + 3)
Let g = 7/1373 - -1247/24714. Let j(y) be the second derivative of -19*y + 1/126*y**7 - 1/45*y**6 + 0 + 0*y**5 + 0*y**2 + 1/18*y**4 - g*y**3. Solve j(l) = 0.
-1, 0, 1
Factor -434/3*b - 2/3*b**2 + 1200.
-2*(b - 8)*(b + 225)/3
Let d(n) be the third derivative of -1/30*n**5 + 0*n - 3 + 8/3*n**3 + 45*n**2 + 7/12*n**4. What is b in d(b) = 0?
-1, 8
Let q(a) = -8*a**4 - 5*a**3 + 4*a**2 + 6*a - 5. Let o = -232 + 236. Let g(r) = 7*r**4 + 4*r**3 - 5*r**2 - 6*r + 4. Let y(p) = o*q(p) + 5*g(p). Factor y(h).
3*h*(h - 2)*(h + 1)**2
Let w(z) be the first derivative of -z**6/3 - 154*z**5/15 - 1483*z**4/18 - 5498*z**3/27 - 1372*z**2/9 - 136*z/3 + 12647. Let w(j) = 0. What is j?
-17, -6, -2, -1/3
Factor -49/4*x + 23/8*x**3 + 5 - 19/8*x**4 - 1/8*x**5 + 55/8*x**2.
-(x - 1)**3*(x + 2)*(x + 20)/8
Let u(o) be the second derivative of 5/84*o**7 - 3 - 11*o + 0*o**2 + 7/8*o**5 - 5/12*o**6 - 5/8*o**4 + 0*o**3. Find s, given that u(s) = 0.
0, 1, 3
Let v = -1305 - -1385. Let i be v/440 + (-586)/(-44). Factor -45/2*f**2 - 21/2*f**3 - i*f - 3/2*f**4 + 0.
-3*f*(f + 1)*(f + 3)**2/2
Let l be -14 - 1 - (-2660 + 2642). Let -n + 0 + 3/2*n**l - 5/2*n**2 = 0. What is n?
-1/3, 0, 2
Let l(s) be the second derivative of 5*s**7/42 - s**6/3 - 9*s**5/4 + 55*s**4/6 + 10*s**3/3 - 60*s**2 + 4*s - 106. Factor l(n).
5*(n - 2)**3*(n + 1)*(n + 3)
Let t(b) = 5*b**2 - 29*b - 31. Let i(l) = -3*l**2 + 15*l + 18. Let v(r) = 11*i(r) + 6*t(r). Factor v(h).
-3*(h - 1)*(h + 4)
Let c(u) be the first derivative of 5*u**3 + 0*u - 46 - 35/4*u**4 + 0*u**2 + 5*u**5 - 5/6*u**6. Factor c(x).
-5*x**2*(x - 3)*(x - 1)**2
Let z(g) be the second derivative of 3*g**5/220 + 17827*g**4/132 + 26486465*g**3/66 + 8826841*g**2/22 + 3737*g. Determine y so that z(y) = 0.
-2971, -1/3
Let h(y) be the first derivative of 57 + 0*y - 12/5*y**5 - 11/4*y**4 + 0*y**2 + 0*y**3 - 1/6*y**6. Factor h(b).
-b**3*(b + 1)*(b + 11)
Suppose 3*q = -2*x - 1, 2 = -4*x - 3*q - 3. Let i be (-11)/((-66)/48)*(-1)/x. Find m such that 5/4*m**i + 5/2*m - 5/4 + 0*m**2 - 5/2*m**3 = 0.
-1, 1
Let u(i) be the first derivative of -i**6/33 + 46*i**5/55 + 5*i**4/22 - 230*i**3/33 - 4*i**2/11 + 184*i/11 - 4907. Suppose u(t) = 0. What is t?
-2, -1, 1, 2, 23
Let c(a) be the third derivative of -1/25*a**6 - 1/4*a**4 + 241*a**2 + 0*a**3 + 0 + 0*a + 17/100*a**5 + 1/350*a**7. Solve c(g) = 0.
0, 1, 2, 5
Suppose 0*m - 504 = -8*