t is j in l(j) = 0?
-1285, 0
Let o(k) be the second derivative of -2*k**3 + 296*k**2 - 590*k. Let g be o(49). Factor -2/11*s**5 - 8/11*s**g - 8/11*s**3 + 0*s**2 + 0*s + 0.
-2*s**3*(s + 2)**2/11
Let q(w) = 17*w**2 + 6*w + 1. Let l(j) = -2*j**2 + 1. Suppose -s + 2*s = -3*y - 24, -y - 72 = 3*s. Let f(z) = s*l(z) - 3*q(z). Factor f(o).
-3*(o + 3)**2
Let b(n) be the second derivative of 95443993*n**5/80 + 626547*n**4/4 + 8226*n**3 + 216*n**2 + 9946*n. Factor b(h).
(457*h + 12)**3/4
Let m(w) be the third derivative of -361*w**6/40 + 513*w**5/20 - 21*w**4 + 8*w**3 + 904*w**2. Suppose m(s) = 0. What is s?
4/19, 1
Suppose -30*y + 96 + 3354 = 0. Solve -76*k**2 + 44*k**3 - y + 4*k**5 - 240*k + 12470*k**4 - 12442*k**4 - 29 = 0 for k.
-3, -2, -1, 2
Let a(i) = -4*i**2 - 2558*i - 110929. Let d(z) = 2933 - 1014 + z**2 + 4724 + 13096 + 512*z + 2447. Let l(b) = -2*a(b) - 11*d(b). Determine q so that l(q) = 0.
-86
Let d(m) be the first derivative of 1 - 17/4*m**4 + 4/5*m**5 + 16/3*m**3 + 0*m - 3/2*m**2. Determine q, given that d(q) = 0.
0, 1/4, 1, 3
Let h(b) be the third derivative of -b**6/660 + 3*b**5/110 + 4*b**4/33 - 20*b**3/11 - b**2 - 251. Factor h(m).
-2*(m - 10)*(m - 2)*(m + 3)/11
Factor 250*b + 128*b**2 - 4*b**3 + 172*b + 280 - 10*b.
-4*(b - 35)*(b + 1)*(b + 2)
Let y(w) be the second derivative of 4/21*w**7 + 45/2*w**4 - 77*w + 117/10*w**5 + 37/15*w**6 + 0 + 9*w**3 + 0*w**2. Factor y(s).
2*s*(s + 3)**3*(4*s + 1)
Let o(g) be the first derivative of g**5/160 + 21*g**4/32 + 441*g**3/16 + 31*g**2 - 3. Let p(v) be the second derivative of o(v). Find k, given that p(k) = 0.
-21
Solve 46/5 + 68/5*y - 1/10*y**3 + 43/10*y**2 = 0 for y.
-2, -1, 46
Let q = 16821 + -117746/7. Factor 16/7*x - q*x**2 - 64/7.
-(x - 8)**2/7
Let b(i) be the first derivative of 2*i**6/3 + 14*i**5/5 + 73*i**4/16 + 7*i**3/2 + 9*i**2/8 - 1481. Suppose b(r) = 0. What is r?
-1, -3/4, 0
Solve 3/4*r**4 - 465/4*r**3 + 19125/4*r**2 - 84375/4*r + 0 = 0.
0, 5, 75
Let t(r) be the first derivative of -1/17*r**4 + 0*r**2 - 16/51*r**3 + 2/85*r**5 + 6 + 0*r. Factor t(l).
2*l**2*(l - 4)*(l + 2)/17
Suppose 2*k - 16 = -j - 9, -2*j + 16 = 5*k. Let p(c) be the second derivative of -10/3*c**3 - 1/5*c**5 + 2*c + 0*c**2 + k*c**4 + 0. Factor p(n).
-4*n*(n - 5)*(n - 1)
Let m = -36471 - -36474. Find u, given that -4/15*u**2 - 2/3*u**m + 28/15*u**5 + 22/15*u**4 + 0*u + 0 = 0.
-1, -2/7, 0, 1/2
Suppose 3*u - 120 = 5*n, 3 = -u - 2. Let v = n + 29. Factor 6/5*i + 6/5*i**v + 2/5 + 2/5*i**3.
2*(i + 1)**3/5
Let g(n) be the third derivative of -n**7/105 - n**6/60 + 3*n**5/10 - 11*n**4/12 + 4*n**3/3 + 2176*n**2. Let g(u) = 0. What is u?
-4, 1
Let m(j) = j**2 + 266*j - 542. Let w(v) = 5*v**2 + 1330*v - 2713. Let x(y) = -33*m(y) + 6*w(y). Factor x(b).
-3*(b - 2)*(b + 268)
Suppose 41 + 57 = 2*b. Suppose -7*m = 28 - b. Factor 10/7*s**4 + 0*s + 2*s**5 - 4/7*s**m + 0*s**2 + 0.
2*s**3*(s + 1)*(7*s - 2)/7
Let i(p) be the second derivative of p**6/120 + 251*p**5/40 + 125*p**4/4 + 749*p**3/12 + 499*p**2/8 - 30*p - 4. Factor i(g).
(g + 1)**3*(g + 499)/4
Let a be (-4)/3 - (12 - 40/3). Suppose 4*k = -2*x + 4, -3*k = 2*x - 8*k - 4. Factor -2*t + 10*t + a*t**2 - 4*t**x - 4*t.
-4*t*(t - 1)
Suppose 12714 + 25*h - 25834 + 5*h**2 + 12790 = 0. Calculate h.
-11, 6
Let x(i) be the third derivative of -i**6/3 + 25*i**5/12 + 45*i**4/8 - 75*i**3 - 4365*i**2. Find z such that x(z) = 0.
-15/8, 2, 3
Factor 24/5*z**2 - 3/5*z**4 - 22/5*z**3 + 1/5*z**5 + 0*z + 0.
z**2*(z - 6)*(z - 1)*(z + 4)/5
Let c(n) be the third derivative of -13*n**5/90 - 233*n**4/18 + 8*n**3 - 17*n**2 - 2. Solve c(o) = 0 for o.
-36, 2/13
Let h(v) be the second derivative of -v**5/70 - 10*v**4/7 + 124*v**3/21 - 2*v - 1225. Solve h(x) = 0.
-62, 0, 2
Suppose -5*c - l = -24, 5*c = -2*l + 17 + 11. Suppose -4*q - 2*z = -66, z = -c*q - 0*z + 63. Solve q - 82*a - 4*a**2 + 57*a + 14*a**2 = 0 for a.
1, 3/2
Find v such that 154/19*v**2 + 16/19*v - 26/19*v**4 - 24/19 - 2*v**5 + 126/19*v**3 = 0.
-1, 6/19, 2
Let b be (62/(-2604))/(1/(-2)). Let m(h) be the first derivative of -25 - 4/7*h + 2/7*h**2 - b*h**3. Factor m(v).
-(v - 2)**2/7
Let l = 4/21451 + 879483/42902. Factor 1/2*r**2 + l*r - 21.
(r - 1)*(r + 42)/2
Let s(z) be the third derivative of 3*z**8/112 + 17*z**7/70 + 5*z**6/8 + 11*z**5/20 + 795*z**2 + 1. What is q in s(q) = 0?
-11/3, -1, 0
Let -120/13 - 22/13*m**3 - 2/13*m**2 + 152/13*m = 0. Calculate m.
-3, 10/11, 2
Let b(j) be the first derivative of j**3/8 + 57*j**2/2 - 234*j + 4274. Determine o, given that b(o) = 0.
-156, 4
Let m(g) be the third derivative of g**5/210 + g**4/7 - 9*g**3 + 2*g**2 - 7*g - 12. Find c, given that m(c) = 0.
-21, 9
Factor 0 - 48/7*d**2 - 52/7*d**4 - 2/7*d + 102/7*d**3.
-2*d*(d - 1)**2*(26*d + 1)/7
Let i(b) be the first derivative of -6 - 1/14*b**4 + 1/7*b**2 + 2/7*b**3 - 6/7*b. Determine n so that i(n) = 0.
-1, 1, 3
Let x(i) be the second derivative of 0*i**2 + 1/27*i**3 + 34*i + 7/108*i**4 + 1/54*i**6 + 1/20*i**5 + 0 + 1/378*i**7. Factor x(g).
g*(g + 1)**3*(g + 2)/9
Let 10*x - 122*x**2 + 2243 - 2243 = 0. What is x?
0, 5/61
Let d be 10/6*30/25. Let p = -12 - -15. Find b, given that -4*b**d - 3 - 5*b**2 - 202*b + 211*b + 3*b**p = 0.
1
Determine t, given that -1/7*t**2 - 45/7*t - 486/7 = 0.
-27, -18
Let z(n) = 4902*n + 49022. Let q be z(-10). Factor 28/9*g**q + 50/9*g + 2/9*g**3 + 8/3.
2*(g + 1)**2*(g + 12)/9
Let -56/9*x + 2/9*x**3 + 0 + 8/3*x**2 = 0. Calculate x.
-14, 0, 2
Suppose 2559*f - 2554*f + 3*b = 0, -5*b = 50. Let -117/7*c + f*c**3 + 60/7*c**2 - 108/7 - 24/7*c**4 + 3/7*c**5 = 0. Calculate c.
-1, 3, 4
Let h be -4 - (12/(-24) + -4). Let m(j) be the first derivative of 4/15*j**3 + 2/5*j - 3 - h*j**2 - 1/20*j**4. Factor m(r).
-(r - 2)*(r - 1)**2/5
Let 61504 + 550556/9*z**3 + 2972/9*z**4 - 183520/3*z + 4/9*z**5 - 556508/9*z**2 = 0. What is z?
-372, -1, 1
Let d(g) = -2*g**2 - 52*g - 333. Let x be d(-13). Let w(y) be the second derivative of 1/140*y**x + 0 - 37*y + 4/7*y**2 + 1/14*y**4 + 2/7*y**3. Factor w(k).
(k + 2)**3/7
Suppose 29*b - 3273 = -3157. Let t(m) be the second derivative of 1/3*m**3 + 6*m + 1/3*m**b + 0*m**2 + 0 + 1/10*m**5. Let t(h) = 0. What is h?
-1, 0
Factor 0 - 1/9*h**4 - 1/9*h**3 - 1/3*h + 5/9*h**2.
-h*(h - 1)**2*(h + 3)/9
Let p(v) be the third derivative of v**8/6720 + v**7/280 - 7*v**6/240 + 43*v**5/60 - 3*v**2 - 14. Let t(q) be the third derivative of p(q). Factor t(g).
3*(g - 1)*(g + 7)
Let a(s) = -17*s**2 - s - 1. Let i(t) = 103*t**2 - 319*t + 6. Let x(n) = -6*a(n) - i(n). Determine b, given that x(b) = 0.
0, 325
Let r(p) = -18*p + 4503. Let s be r(250). Determine c, given that -10/3*c**2 + 50/3*c + 0 + 1/6*c**s = 0.
0, 10
Let a(l) be the second derivative of -4/21*l**4 + 1/70*l**5 + 0*l**2 + 1/3*l**3 + 242*l + 0. Factor a(z).
2*z*(z - 7)*(z - 1)/7
Let a(m) be the second derivative of 5*m**7/42 - m**6/3 - 3*m**5/4 + 5*m**4/3 + 10*m**3/3 - 2*m + 21. Factor a(x).
5*x*(x - 2)**2*(x + 1)**2
Let c(x) be the first derivative of x**4/32 + 25*x**3/3 + 593*x**2/16 + 197*x/4 - 985. Factor c(z).
(z + 1)*(z + 2)*(z + 197)/8
Let o(w) = -w**3 + 8*w**2 - 80*w + 1002. Let k be o(10). Factor -12*d + 3/4 + 48*d**k.
3*(8*d - 1)**2/4
Let c(k) be the first derivative of 1 - 11*k + 4/3*k**2 + 8/9*k**3 + 1/6*k**4. Let t(s) be the first derivative of c(s). Solve t(g) = 0 for g.
-2, -2/3
Let u = 6450707/15 + -430047. Determine n so that 2/15*n**2 - 4/5*n**3 - u*n**4 + 0 + 4/5*n = 0.
-6, -1, 0, 1
Let q(a) be the first derivative of -a - 72*a**2 - 40 + 12*a + 6*a - a + 108*a**3. Factor q(v).
4*(9*v - 2)**2
Let p(i) be the third derivative of -i**6/280 - 59*i**5/70 - 229*i**4/56 + 174*i**3/7 + 1335*i**2. Solve p(g) = 0.
-116, -3, 1
Let p(j) be the second derivative of -2/5*j**3 + 0*j**2 + 9/100*j**5 - 29*j + 2 + 1/5*j**4 - 1/25*j**6 - 1/70*j**7. Let p(q) = 0. Calculate q.
-2, 0, 1
Factor 2435*q**3 + 40*q**2 + 67*q + 13*q - 4*q**2 - 2437*q**3.
-2*q*(q - 20)*(q + 2)
Let p(k) = 11*k**2 - 3300*k + 799. Let h(f) = 82*f**2 - 24758*f + 5992. Let g(v) = 5*h(v) - 38*p(v). Suppose g(d) = 0. Calculate d.
1/4, 201
Let z(w) = 15*w**4 - 48*w**3 - 11*w. Let q(o) = 8*o**4 - 24*o**3 - 6*o. Let a be 7 - (36/24)/(6/(-16)). Let m(u) = a*q(u) - 6*z(u). Factor m(l).
-2*l**3*(l - 12)
Suppose -o - 12 = -4*b, 5*b + 0*b = 3*o + 1. Suppose 4*j + 1 = p - 5, -5*p - 2*j = -o. What is q in