is c in 6/5*c**5 + 24558/5*c**3 + 0 - 46872/5*c**2 - 756/5*c**4 + 23064/5*c = 0?
0, 1, 62
Let a be -5*528/1440 - (-1 + 2) - 36/(-8). Factor -14/9 - a*p - 1/9*p**2.
-(p + 1)*(p + 14)/9
Let o(s) = -41*s**3 - 352*s**2 - 48*s - 4. Let u(c) = -80*c**3 - 697*c**2 - 96*c - 10. Let b(q) = 5*o(q) - 2*u(q). Factor b(d).
-3*d*(d + 8)*(15*d + 2)
Let j = 454 + -388. Let o be (-1 - -2)/(j/12 + -5). Factor 6/5*c - 9/5 + 3/5*c**o.
3*(c - 1)*(c + 3)/5
Let c(b) be the second derivative of -3 - 4/15*b**3 + 1/75*b**6 + 1/5*b**2 + 4/25*b**5 - 1/15*b**4 - 4/105*b**7 + 2*b. Solve c(n) = 0 for n.
-1, 1/4, 1
Let -64 + 4/5*v**2 - 8/5*v = 0. What is v?
-8, 10
Let h be 49*(-552)/90 + 5/1. Let v = -295 - h. Suppose -v - 2/15*r**2 - 8/15*r = 0. What is r?
-2
Let f = 18 + -15. Find y, given that -1383*y + 2 + 1389*y + y**2 + f = 0.
-5, -1
Let h = 532 + -534. Let d be 12/72 - (-2 - h). Factor -d + 0*k + 1/6*k**2.
(k - 1)*(k + 1)/6
Let t(w) be the second derivative of 6489*w**5/160 - 323*w**4/16 + w**3/2 + 9218*w. Factor t(o).
3*o*(7*o - 2)*(309*o - 4)/8
Let j = 496 + -476. What is u in -j*u - 30*u**4 - 65*u**3 + 11*u**5 + 9*u**5 - 79*u**2 - 25*u**5 + 19*u**2 = 0?
-2, -1, 0
Let u(q) be the third derivative of 2/105*q**7 + 0*q**5 + q + 0*q**3 + 0 - 1/42*q**8 + 0*q**4 + 15*q**2 + 1/30*q**6. Factor u(g).
-4*g**3*(g - 1)*(2*g + 1)
Let d be ((3*(-72)/(-54))/(-3))/(190/(-15)). Solve -32/19 + 20/19*q - d*q**2 = 0.
2, 8
Find x such that -5/3*x**4 - 115/3*x**3 + 4660/3*x + 860/3*x**2 + 1680 = 0.
-28, -2, 9
Let v(p) be the second derivative of -655/24*p**4 + 170/9*p**3 - 20/3*p**2 - 31*p + 2 + 221/12*p**5 - 169/36*p**6. Solve v(f) = 0 for f.
4/13, 1
Let a(b) be the first derivative of b**4/5 + 88*b**3/15 + 38*b**2/5 - 168*b/5 + 1233. Let a(z) = 0. What is z?
-21, -2, 1
Let z(v) be the third derivative of -v**6/80 - 9*v**5/40 + 45*v**4/8 - 384*v**2 - 1. Let z(h) = 0. What is h?
-15, 0, 6
Let b be (-20)/40*2*5/(-20). Let f(w) be the second derivative of -b*w**5 - 5/4*w**4 - 20*w + 5/6*w**3 + 5*w**2 + 0 + 1/6*w**6. What is x in f(x) = 0?
-1, 1, 2
Let i(p) be the second derivative of p**4/28 + 65*p**3/14 + 366*p**2/7 - 22*p + 26. Factor i(k).
3*(k + 4)*(k + 61)/7
Suppose 964*s = -k + 966*s + 4, 3*k - 3 = -3*s. Suppose 8/7*a**4 - 2*a + 30/7*a**k + 2/7 - 26/7*a**3 = 0. Calculate a.
1/4, 1
Let u(r) be the third derivative of r**7/945 - 37*r**5/270 + 4*r**3/3 + 1372*r**2 - 1. What is h in u(h) = 0?
-6, -1, 1, 6
Suppose n + 5 = -5*j, 5*n = j - 4563 + 4486. Suppose 4/3*r**3 - 28/3*r**j + 28/3 - 4/3*r = 0. What is r?
-1, 1, 7
Let s be (7/(-1))/((-336)/96) + (3 - 3). Find y such that -2/17*y + 4/17*y**5 - 6/17*y**4 - 2/17*y**3 + 6/17*y**s + 0 = 0.
-1, 0, 1/2, 1
Suppose -2*s = 3*q - 11, 3*q + 119 = 122. Suppose -y = -2*b - s, 0 = 3*b + b. Factor -22/17*w**2 + 24/17*w + 72/17 - 4/17*w**3 + 2/17*w**y.
2*(w - 3)**2*(w + 2)**2/17
Factor 4/17*c**2 + 0*c**3 - 4/17*c**4 + 0 - 2/17*c**5 + 2/17*c.
-2*c*(c - 1)*(c + 1)**3/17
Let q(d) be the first derivative of d**6/330 - 23*d**5/110 + 89*d**4/132 - 2*d**3/3 + 122*d - 85. Let f(b) be the first derivative of q(b). Factor f(k).
k*(k - 44)*(k - 1)**2/11
Let d be 1/(-10) + (-2299)/(-190). Find z, given that -d*z**2 - 13*z**2 - 12*z + 37*z**2 - 16*z**2 = 0.
-3, 0
Factor -1106*g**3 + 2214*g**3 - 1105*g**3 + 852*g**2.
3*g**2*(g + 284)
Let a(d) be the second derivative of 0 - 56*d - d**3 + 34/5*d**2 - 1/30*d**4. Factor a(h).
-2*(h - 2)*(h + 17)/5
Let g(l) be the second derivative of -13*l**4/2 + 79*l**3/3 - 2*l**2 + 4022*l. Factor g(d).
-2*(d - 2)*(39*d - 1)
Let w(f) be the third derivative of f**6/30 - 37*f**5/180 - 13*f**4/8 + 5*f**3/9 + 2*f**2 - 64*f. Factor w(c).
(c - 5)*(c + 2)*(12*c - 1)/3
Suppose -8*f + 18 = f. Suppose 0 = -2*k - 2*j + 8, k + 10 = 5*k - f*j. Factor -k - 5 + 36*s - 3 + 3 - 28*s**2.
-4*(s - 1)*(7*s - 2)
What is q in 252*q**2 - 889*q + 49470*q**3 - 823*q + 1728 - 49466*q**3 + 164*q**2 = 0?
-108, 2
Let y(a) be the third derivative of a**7/126 - 19*a**6/40 + 59*a**5/30 - 8*a**4/9 + a**2 + 267*a. Solve y(p) = 0 for p.
0, 1/5, 2, 32
Let j(x) = -3*x**3 + 228*x**2 - 1428*x - 2340. Let h(c) = -2*c**3 + 226*c**2 - 1428*c - 2338. Let u(f) = -6*h(f) + 7*j(f). Factor u(d).
-3*(d - 14)**2*(3*d + 4)
Let f = 2119/8380 - 6/2095. Let m(q) be the first derivative of 6 + 3*q + 1/3*q**3 - 5/2*q**2 + f*q**4. Let m(r) = 0. Calculate r.
-3, 1
Determine x, given that -2/21*x**4 + 24/7*x**2 + 32/21*x**3 + 0*x + 0 = 0.
-2, 0, 18
Factor 48*o**2 + 5*o**3 - 21*o**3 + 12*o**3 + 0*o**3 - 144*o.
-4*o*(o - 6)**2
Let u(k) be the second derivative of -21 - 2*k + 4/7*k**3 - 3/2*k**2 - 1/28*k**4. Factor u(d).
-3*(d - 7)*(d - 1)/7
Determine z, given that 4162 - 158*z**4 - 901 - 4887*z - 885*z + 150*z**4 + 2823 - 628*z**3 - 12476*z**2 = 0.
-39, -1, 1/2
Suppose 66*b + 30 = 69*b. Suppose b*s - 36 = 4. Factor 0 + 0*r**s + 0*r**2 + 0*r - 1/4*r**3 + 1/4*r**5.
r**3*(r - 1)*(r + 1)/4
Let n be 24/21 + (44 + -44)/44. Let h be (-1)/(-2) - (-9)/6. Let 2/7*a + 12/7 - n*a**h + 2/7*a**3 = 0. Calculate a.
-1, 2, 3
Let n(u) be the second derivative of 55*u - 16/5*u**3 + 18/5*u**2 + 22/15*u**4 - 8/25*u**5 + 2/75*u**6 + 0. Factor n(l).
4*(l - 3)**2*(l - 1)**2/5
Factor 17*y - 9*y**4 + 30*y**3 + 15 - 141*y - 6*y**2 - 6*y**5 + 97*y + 3*y**5.
-3*(y - 1)**3*(y + 1)*(y + 5)
Let b be (21/147)/((-12)/(-14)). Factor 1/3 - b*m - 1/3*m**2 + 1/6*m**3.
(m - 2)*(m - 1)*(m + 1)/6
Let w(q) = 16430*q**3 + 14244*q**2 - 2145*q + 73. Let b(m) = -115011*m**3 - 99726*m**2 + 15015*m - 510. Let y(k) = 2*b(k) + 15*w(k). Factor y(t).
3*(t + 1)*(74*t - 5)**2
Suppose 13 = c + 3*b, 14*b - 19*b + 19 = c. Factor 9*a**4 - 8*a - 70*a**3 + 32*a**2 - 45*a**4 - 13*a**c + 20*a**2.
-a*(a + 2)*(7*a - 2)**2
Let 12*s**4 + 199*s**5 - 867*s + 7188*s**2 - 6970 + 1143*s**3 - 202*s**5 - 230 - 562*s + 289*s = 0. Calculate s.
-10, -1, 1, 24
Let s = 41366 - 124091/3. Factor s*j + 0 + 1/3*j**2.
j*(j + 7)/3
Let s(x) be the first derivative of -43 + 4/5*x**5 + 8*x - x**4 - 4*x**3 + 2*x**2. Factor s(t).
4*(t - 2)*(t - 1)*(t + 1)**2
Let g(r) be the second derivative of -r**4/54 + 71*r**3/9 + 3925*r. Factor g(i).
-2*i*(i - 213)/9
Solve -2110 - 157836*w + 7402 + 3*w**3 + 163380*w + 255*w**2 = 0 for w.
-42, -1
Let b(l) be the second derivative of -3*l**5/140 + 34*l**4/7 + 417*l**3/14 + 3955*l. Let b(o) = 0. Calculate o.
-3, 0, 139
Factor -46*n - 9/2*n**3 + 35*n**2 - 12.
-(n - 6)*(n - 2)*(9*n + 2)/2
Suppose o = -4*o + 30. Suppose -5*w = o*w - 22. Let 5/2*l**3 + 0*l - 10*l**w + 0 = 0. Calculate l.
0, 4
Let g(h) be the third derivative of -h**8/504 + 43*h**7/315 - 691*h**6/180 + 1033*h**5/18 - 4550*h**4/9 + 24500*h**3/9 - 2557*h**2. Factor g(s).
-2*(s - 14)**2*(s - 5)**3/3
Suppose -3*n - 136 = -184, 4*l - 2*n = -24. Factor -52/9 + 2/9*f**l - 50/9*f.
2*(f - 26)*(f + 1)/9
Let u(y) be the second derivative of -2/11*y**5 + 23/66*y**4 + 13 - 1/165*y**6 - 5*y + 0*y**2 + 14/11*y**3. Determine x, given that u(x) = 0.
-21, -1, 0, 2
Let g(a) be the second derivative of -5/2*a**4 + 9/4*a**5 - 94 + 5/6*a**3 - 2/3*a**6 - 2*a + 0*a**2. Factor g(v).
-5*v*(v - 1)**2*(4*v - 1)
Determine s so that 5*s**5 + 85*s**3 + 0*s**5 - 40*s**4 + 70*s**2 + 360 + 12389*s - 12809*s = 0.
-2, 2, 3
Factor -9*i**4 - 20*i**3 + 2*i**3 + 27 + 63*i + 3*i**5 + 25*i**2 + 19*i**2 - 23*i**2 + 9*i**2.
3*(i - 3)**2*(i + 1)**3
Let x(q) be the first derivative of -2*q**3/33 - 8*q**2/11 - 14*q/11 - 1625. What is g in x(g) = 0?
-7, -1
Let h = 1628 + -1606. Suppose 0 = 1775*x - 1786*x + h. Let 0 + 4/3*r**4 + 0*r + 0*r**x + 2/3*r**5 + 2/3*r**3 = 0. Calculate r.
-1, 0
Let a be 10682/392 - 21/(-12). Let y(q) be the second derivative of -3/2*q**2 - 1 + 5/24*q**4 + a*q - 7/12*q**3. Suppose y(h) = 0. Calculate h.
-3/5, 2
Suppose 365*v = 1492*v - 2254. Factor 48/5*d + 24*d**v + 99/5*d**3 + 6*d**4 + 0 + 3/5*d**5.
3*d*(d + 1)**2*(d + 4)**2/5
Let z = 59 - 30. Suppose 6*k - 19 = z. Suppose -25 - 20*h + 17*h**2 - k*h**2 - 4*h**2 = 0. Calculate h.
-1, 5
Let g = 956 - 956. Let n(m) be the third derivative of 0*m**3 - 15*m**2 + g*m + 1/40*m**6 + 0*m**4 + 1/140*m**7 + 1/40*m**5 + 0. Solve n(d) = 0 for d.
-1, 0
Let b(v) = -1. Suppose -84 = -2*h - 12. Suppose -14*f + 11*f - h = 0. Let z(t) = -t**2 + 4*t - 7. Let i(r) = f*b(r) + 3*z(r). Solve i(j) = 0.
1, 3
Factor 3174 + 1/6*r**2 + 46*r.
(r + 138)**2/6
Let f(k) be the secon