-31, 1
Let f(y) = -24*y - 220. Let s be f(-15). Let j be 6/s + 29/290. Factor j*g**2 + 1/7*g - 6/7.
(g - 2)*(g + 3)/7
Let t(b) = -22*b**2 - 2944*b - 3048. Let i(g) = 12*g**2 + 1466*g + 1524. Let c(p) = -9*i(p) - 5*t(p). Factor c(w).
2*(w + 1)*(w + 762)
Factor 32832*q + 108*q**4 - 52*q**3 - 1584*q**2 - 104*q**4 - 9897 - 149079.
4*(q - 12)**3*(q + 23)
Let s(p) = -11*p**2 - 14. Let r(o) be the second derivative of -5*o**4/12 - 3*o**2 - 24*o. Let n(k) = -7*r(k) + 3*s(k). Determine w, given that n(w) = 0.
0
Let c(a) = 4*a. Let z be c(6). Let v be ((5 - 5)/(-6))/2 - -3. Factor z*w**3 - 23*w**v - 3*w - 1 + 3.
(w - 1)**2*(w + 2)
Let j(p) be the third derivative of -p**8/40 - 11*p**7/350 + 73*p**6/200 - 57*p**5/100 + 9*p**4/40 - 922*p**2 + 1. Solve j(n) = 0.
-3, 0, 3/14, 1
Let k(w) = -w**2 + 21*w. Let g(m) = -45*m + 299. Let t(p) = -g(p) - 2*k(p). What is l in t(l) = 0?
-13, 23/2
Let g = -1125 - -1125. Let d(w) = -w**3 - w**2 - 4*w + 2. Let a be d(g). Solve 6/5*t**3 + 2/5*t**4 + 0*t + 0 + 4/5*t**a = 0.
-2, -1, 0
Factor -94*m**2 + 227*m**2 - 135*m**2 - 1584 + 276*m.
-2*(m - 132)*(m - 6)
Let r be 10 + -11 + 3 + (-1 - -1). Suppose -3*v**2 + 8*v**r - 45*v + 0*v**2 + 100 = 0. Calculate v.
4, 5
Let z = 718 - 714. Let w be z - -3 - (7 - 2). Factor 0*y**w + 12/5*y - 4/5*y**3 + 8/5.
-4*(y - 2)*(y + 1)**2/5
Let d(p) be the second derivative of -p**4/18 + 23*p**3/3 + 292*p**2/3 - 161*p - 3. Factor d(z).
-2*(z - 73)*(z + 4)/3
Factor 9/4 + 327/2*i + 645/4*i**2.
3*(i + 1)*(215*i + 3)/4
Let h(s) be the second derivative of -s**4/3 + 872*s**3/3 - 95048*s**2 - 1276*s. Factor h(v).
-4*(v - 218)**2
Let q(c) = 12*c**3 + 26*c**2 - 17*c - 7. Let m(o) be the first derivative of o**4/4 + 2*o**3/3 - o + 2. Let d(p) = 21*m(p) - 3*q(p). Factor d(l).
-3*l*(l - 1)*(5*l + 17)
Suppose -28*n + 55*n - 31*n = -20. Let u(i) be the third derivative of 1/60*i**n + 0 + 1/3*i**3 + 20*i**2 + 0*i - 1/8*i**4. Factor u(p).
(p - 2)*(p - 1)
Let z = 66 + 159. Factor -z*w**4 - 3*w**2 + 98*w**4 + 112*w**4 - 2*w**2 + 20*w**3.
-5*w**2*(w - 1)*(3*w - 1)
Let l(k) be the second derivative of -1/30*k**6 + 125/6*k**3 - 25/4*k**4 - 109*k + 0*k**2 + 3/4*k**5 + 0. Suppose l(o) = 0. Calculate o.
0, 5
Let z = -145 - -149. Suppose -12 = -4*g - 0*g. Let -z*j**2 - 2*j**5 - 7*j**g + 4*j**4 + 5*j**5 - j**5 + j**5 + 4*j = 0. What is j?
-2, -1, 0, 2/3, 1
Let n = 6 - 6. Suppose -4*t - 4 + 12 = n. Factor -7 - 2*h - h**t - 7*h + h.
-(h + 1)*(h + 7)
Let u(l) = 26*l**2 - 3238*l - 10403. Let v(z) = -3*z**2 + 359*z + 1156. Let w(o) = 12*u(o) + 105*v(o). What is t in w(t) = 0?
-384, -3
Let d = 21343 - 21341. Let j(a) be the third derivative of -2*a**3 + 1/40*a**6 - 1/8*a**4 + 1/5*a**5 + 0*a + 0 + 4*a**d. Factor j(v).
3*(v - 1)*(v + 1)*(v + 4)
Let v = 102 - -483. Let g = v + -8767/15. Factor 2/15*h**2 + 8/15 - g*h.
2*(h - 2)**2/15
Find i, given that -46/5*i**3 - 2/5*i**5 + 48/5*i - 18/5*i**4 - 22/5*i**2 + 8 = 0.
-5, -2, -1, 1
Factor -3075867 + 46*z**4 - 7865181 + 5174820*z - 42*z**4 + 145188*z**2 + 1324*z**3.
4*(z - 2)*(z + 111)**3
Let s(y) be the second derivative of y**6/15 - y**5/5 - 4*y**4/3 + 6*y**3 - 9*y**2 - 3*y - 812. Factor s(m).
2*(m - 3)*(m - 1)**2*(m + 3)
Let c = -392 - -394. Let v be 250/(-75) - (-280)/48. Suppose 5/2*w**c + 5/4*w + 1/4 + 1/4*w**5 + 5/4*w**4 + v*w**3 = 0. Calculate w.
-1
Let d(o) = -12*o**2 + 84*o + 104. Let j(y) = y**2 - y + 1. Let x be (1 + 0)*(6 + -7). Let t(m) = x*d(m) - 16*j(m). Factor t(p).
-4*(p + 2)*(p + 15)
Solve 82/21*v + 52/7 + 2/21*v**2 = 0.
-39, -2
Let u(m) be the third derivative of -m**6/60 - m**5/2 - 47*m**4/12 + 21*m**3 + 2*m**2 - 344. Let u(t) = 0. What is t?
-9, -7, 1
Let r(n) be the third derivative of 0*n + 47/330*n**5 + 4*n**4 + 0 + 1/660*n**6 - 61*n**2 - 192/11*n**3. Factor r(g).
2*(g - 1)*(g + 24)**2/11
Factor 2/13*b**2 - 848/13 + 846/13*b.
2*(b - 1)*(b + 424)/13
Let m(z) be the first derivative of -z**3/3 - 415*z**2 + 831*z - 934. Factor m(k).
-(k - 1)*(k + 831)
Let n = 1017175/6 + -169529. Suppose 0*t**2 - 1 + t**4 - n*t**5 - 5/3*t**3 + 11/6*t = 0. Calculate t.
-1, 1, 2, 3
Factor -2359*c + 154*c**3 - 4712*c**2 - 284 - 258*c**3 - 11 + 120*c**3.
(c - 295)*(4*c + 1)**2
Let n(v) be the first derivative of -2*v**3/15 - 3*v**2/5 + 56*v/5 - 369. Solve n(d) = 0.
-7, 4
Suppose -31 = -30*r + 509. Let o be (6/(-5))/(6*r/(-120)). Factor -o*y**2 + 5/3*y - 2/3 + 1/3*y**3.
(y - 2)*(y - 1)**2/3
Let q(u) = -28*u - 136. Let o be q(-5). Let v = 24 + -24. What is a in -o - 22*a**2 + 26*a**2 + v = 0?
-1, 1
Let k(b) be the first derivative of -4*b**3/3 + 234*b**2 - 2240*b + 4800. Factor k(h).
-4*(h - 112)*(h - 5)
Suppose -5*r + 26 = 2*d, 4*d + r = -5 + 21. Suppose -2*i**2 - 14*i**4 - 10*i**4 + 6*i**d + i + 26*i**4 - 7*i = 0. What is i?
-3, -1, 0, 1
Let t be 4*(6/8 + 0). Let u = 56 - 54. Factor 4*b**3 - b**t + 2*b**3 - 3*b**3 + 10*b**u.
2*b**2*(b + 5)
Let n(h) = 3*h + 32. Let y be n(-9). Let k(l) = 4*l**2 + 46*l - 338. Let d(o) = -3*o**2 - 47*o + 338. Let t(z) = y*k(z) + 6*d(z). Factor t(w).
2*(w - 13)**2
Factor 96*q**2 + 69*q**3 + 15 + 3/2*q**5 + 123/2*q + 21*q**4.
3*(q + 1)**4*(q + 10)/2
Let g = -11 + 23. Let u be (0 + g)/((-1)/((-4)/6)). Find l, given that -28*l**2 + 56*l**2 - u*l - 7*l - 2 + 4 = 0.
1/4, 2/7
Suppose -2*x**5 + 108600*x**4 - 85*x**3 - 12996*x**2 - 2*x**5 - 2727*x**3 - 108788*x**4 = 0. What is x?
-19, -9, 0
Factor -208 + 198/5*s + 2/5*s**2.
2*(s - 5)*(s + 104)/5
Let o(k) be the first derivative of -k**5/20 + 11*k**4/2 - 598*k**3/3 + 2508*k**2 - 12996*k + 470. Factor o(f).
-(f - 38)**2*(f - 6)**2/4
Let c(w) = 2*w**3 - 7*w**2 - 173*w + 90. Let i be c(-8). Suppose 38/15 - 2/5*s**i + 112/15*s = 0. Calculate s.
-1/3, 19
Let l(y) be the first derivative of 346*y**2 + 28/3*y**3 + 32 - 200*y. Let l(d) = 0. What is d?
-25, 2/7
Determine t, given that -20/7*t**2 + 10/3*t**3 - 2/21*t**5 + 0*t**4 - 320/21*t - 64/7 = 0.
-6, -1, 4
Let d be 32/36 - (69/92 - -107*57/(-1188)). Solve -720/11*a**3 - d*a**5 + 32*a**4 + 0 - 32/11*a + 512/11*a**2 = 0 for a.
0, 2/29, 2
Let o(d) be the second derivative of -d**6 + 267*d**5/20 - 231*d**4/4 + 88*d**3 + 30*d**2 - 781*d. What is x in o(x) = 0?
-1/10, 2, 5
Let s(w) be the second derivative of -w**5/6 - w**4/3 - 4*w**3/15 + 3*w**2 + w + 13. Let f(c) be the first derivative of s(c). Factor f(i).
-2*(5*i + 2)**2/5
Let c(t) be the first derivative of t**4/28 - t**3/7 - 5*t**2/7 + 387. Let c(i) = 0. Calculate i.
-2, 0, 5
What is h in -2304 - 823217*h + 57*h**3 + 23*h**3 + 825137*h - 592*h**2 - 4*h**4 = 0?
4, 6
Let p(z) be the first derivative of -7/15*z**6 + 3 - 5/3*z**3 + z**4 + z**2 - 17*z + 1/5*z**5 + 1/7*z**7. Let k(s) be the first derivative of p(s). Factor k(q).
2*(q - 1)**3*(q + 1)*(3*q - 1)
Let g be (-34)/(-6)*(-3 + 12). Let p = 63 - g. Factor -7 + p*t - 8*t**2 - 4*t**3 + 7.
-4*t*(t - 1)*(t + 3)
Let n be -8 + (-5)/((-10)/56). Suppose -5*c = -n*c + 30. Factor 4/7*l**3 + 8/7*l - 12/7*l**c + 0.
4*l*(l - 2)*(l - 1)/7
Suppose 2*q - 6*q + 2*k + 2 = 0, -4*q = -5*k + 7. Factor 10*b**2 + 20*b - 22*b**q - 60*b**2 + 7*b**3.
b*(b - 10)*(7*b - 2)
Solve -2/11*w**3 + 38*w**2 - 1648/11 - 1228/11*w = 0.
-1, 4, 206
Let p(i) = -19955*i - 59863. Let w be p(-3). Determine a, given that 5000/11 + 2/11*a**w + 200/11*a = 0.
-50
Let u(h) be the first derivative of 2*h**5/45 + 485*h**4/18 + 120008*h**3/27 + 96640*h**2/3 + 51200*h - 1857. Determine q so that u(q) = 0.
-240, -4, -1
Let g(l) be the second derivative of -15*l**5/4 - 727*l**4/4 - 29*l**3 - 2*l - 662. Solve g(a) = 0 for a.
-29, -2/25, 0
Suppose -3*a = -3*s + 24, -2 = -6*a + 5*a - 4*s. Let w(v) = -14*v**3 - 36*v**2 + 14*v. Let g(p) = p**3 + p. Let f(d) = a*g(d) + w(d). Factor f(r).
-4*r*(r + 2)*(5*r - 1)
Factor -65/4*s + 16 + 1/4*s**2.
(s - 64)*(s - 1)/4
Suppose -11*w - 110 = -121. Let u(z) = 3*z**2 - 63*z + 62. Let n be u(w). Factor 1/5*y**n + 8/5*y - 9/5.
(y - 1)*(y + 9)/5
Let v(g) = 4*g**2 + 82*g - 1836. Let n be v(-34). Factor 19/4*t - 1/4*t**2 + n.
-t*(t - 19)/4
Let l = -594 + 836. Let q = l + -238. Factor -2/11*v**q + 0 - 4/11*v**3 + 0*v - 2/11*v**2.
-2*v**2*(v + 1)**2/11
Solve 177/4*a**2 + 243/2 + 1/4*a**4 + 23/4*a**3 + 513/4*a = 0 for a.
-9, -3, -2
What is v in -5209*v + 385*v**3 + 15*v**2 + 770 + 2075*v + 1969*v - 5*v**4 = 0?
-2, 1, 77
Suppose j - 14 = 4*x, 4*j = 9*x - 8*x - 4. Let g be (-83 + 85)/((-3)/(