= 0.
-25, -4/9, 1, 2
Let u(q) be the first derivative of -4/7*q**2 - 25 - 1/21*q**3 + 20/7*q. Factor u(h).
-(h - 2)*(h + 10)/7
Let 324/7*o**2 + 2/7*o**4 + 58/7*o**3 + 1024/7 - 1408/7*o = 0. Calculate o.
-16, 1, 2
Factor 446 + 26 + s - 6072*s**2 + 3040*s**2 + 475*s + 3036*s**2.
4*(s + 1)*(s + 118)
Suppose -3*g + 21082 - 862 = 0. Let 6740 - 40*p**2 + 5*p**3 - g = 0. Calculate p.
0, 8
Let g(j) be the third derivative of 7/100*j**5 - 1/75*j**6 + j - 29*j**2 + 0 + 1/1050*j**7 - 11/60*j**4 + 4/15*j**3. Let g(k) = 0. What is k?
1, 2, 4
Let j = 5210939/5 - 1042187. Factor -32/5 - j*z**2 + 24/5*z.
-4*(z - 4)*(z - 2)/5
Let 2209 + 91/3*p**4 - 1927/3*p + 642*p**3 + 1/3*p**5 - 6718/3*p**2 = 0. What is p?
-47, -1, 1, 3
Let u(h) be the second derivative of -h**4/6 - 89*h**3/3 + 182*h**2 + 2*h - 1029. Suppose u(z) = 0. Calculate z.
-91, 2
Solve -7*y**2 + 0*y**4 + 12228*y - 5*y**2 - 12228*y + y**4 + 11*y**3 = 0 for y.
-12, 0, 1
Find d such that 151*d**4 - 20*d**4 + 2540*d**3 + 4*d**5 + 956*d**3 + 16644*d**2 + 41*d**4 + 40320*d - 876*d**3 + 32400 = 0.
-15, -9, -2
Let l be (6/(-6) + (2 - 3))*(-72)/48. Let v(h) be the first derivative of 12/5*h**2 - 2/15*h**l + 10 - 72/5*h. Let v(y) = 0. What is y?
6
Factor -296/9*f - 2/9*f**2 - 98/3.
-2*(f + 1)*(f + 147)/9
Let i(s) be the first derivative of s**3/3 + 333*s**2 + 9727. Suppose i(o) = 0. Calculate o.
-666, 0
Factor 9*v**2 + 10 + 1/8*v**4 + 16*v + 2*v**3.
(v + 2)**3*(v + 10)/8
Let t(n) be the second derivative of n**7/11340 + n**6/810 - n**5/108 - 7*n**4/2 - 236*n. Let i(r) be the third derivative of t(r). Let i(f) = 0. What is f?
-5, 1
Let w(f) = f**2 - 66*f - 204. Let m be w(-3). Let h(j) be the second derivative of 0 - 1/6*j**m + j - 5/8*j**2 + 1/48*j**4. Solve h(z) = 0 for z.
-1, 5
Let v = -350971 - -702007/2. Determine l, given that -v*l - 30 - 5/2*l**2 = 0.
-12, -1
Suppose 0 = -2371*y + 2291*y + 2720. Let v(w) be the first derivative of 3/4*w - y - 3/2*w**2 + 3/4*w**3. Solve v(m) = 0 for m.
1/3, 1
Let n(y) be the first derivative of -y**6/6 - 7*y**5/5 - 3*y**4 + 4*y**3/3 + 8*y**2 + 394. Factor n(p).
-p*(p - 1)*(p + 2)**2*(p + 4)
Suppose 0 = -5*u + 5, 4*a - 5*u - 8 = 51. Let s be 6/a + 663/24. Factor -9*b**4 + 8*b**2 - 27*b**4 + s*b**3 - 4*b**2 + 4*b**2.
-4*b**2*(b - 1)*(9*b + 2)
Let a be ((-21)/(-6) - 2) + 49/(34 + 64). Let 8/9 - 10/9*d - 1/3*d**a = 0. Calculate d.
-4, 2/3
Let h(d) = d**2 + 33*d - 1620. Let p be h(27). Let m(x) be the third derivative of -1/480*x**6 + 1/96*x**4 + 15 - 2*x**2 + p*x + 0*x**5 + 0*x**3. Factor m(u).
-u*(u - 1)*(u + 1)/4
Let b be (-1260)/(-33) + (-51 - -13). Factor -b*q**2 - 4*q - 42/11.
-2*(q + 1)*(q + 21)/11
Let u(v) be the third derivative of 0*v**3 - 8/15*v**4 - 137*v**2 + 0 + 0*v - 1/75*v**5. Let u(q) = 0. What is q?
-16, 0
Let j(o) be the first derivative of o**4/28 + 16*o**3/7 + 54*o**2 + 560*o - 4515. Determine m so that j(m) = 0.
-20, -14
Let a(x) = x**3 + x + 10. Let s be a(0). Factor -29*f + 13*f - 2*f**2 + 8*f + s.
-2*(f - 1)*(f + 5)
Solve 6020*q + 314*q**2 - 3*q**4 - 6571*q**2 - 18440*q + 458*q**2 - 6348 + 270*q**3 = 0 for q.
-1, 46
Let y(a) be the first derivative of 73 + 26*a**2 + 338*a + 2/3*a**3. Let y(w) = 0. What is w?
-13
Let g(h) be the third derivative of -2/9*h**3 + 1/6*h**4 + 1/90*h**6 + 0 + 0*h - 52*h**2 - 1/15*h**5. Factor g(c).
4*(c - 1)**3/3
Suppose -10*p + 22*p - 252 = 0. Factor 12*c**2 - p*c + 230 + 21*c**3 - 3*c**2 - 239.
3*(c - 1)*(c + 1)*(7*c + 3)
Let o(m) be the third derivative of m**7/21 - 5*m**6/24 - 11*m**5/12 - 5*m**4/6 - 202*m**2 + 2*m. Factor o(n).
5*n*(n - 4)*(n + 1)*(2*n + 1)
Suppose 5*z + 18 - 50 = -q, -3*z + 12 = -3*q. Factor -42/5*x**q + 9/5*x**3 + 5*x - 4/5.
(x - 4)*(3*x - 1)**2/5
Let c(r) be the first derivative of r**4/42 - 16*r**3/63 - r**2/21 + 16*r/21 - 10. Factor c(h).
2*(h - 8)*(h - 1)*(h + 1)/21
Let o(z) be the first derivative of -z**6/1800 + z**5/300 - 80*z**3/3 + 75. Let y(f) be the third derivative of o(f). Solve y(w) = 0.
0, 2
What is y in -6 - 7*y + 0 + 10 + 0*y + 6 + y**2 = 0?
2, 5
Suppose -194 - 40 = -6*x. Suppose -5 = -22*n + x. What is z in 1/6*z**n - 1/3 + 1/2*z**3 - 1/2*z + 1/6*z**4 = 0?
-2, -1, 1
Let d(i) = -i**5 + 750*i**4 + 1545*i**3 + 808*i**2. Let w(p) = p**5 - 250*p**4 - 515*p**3 - 268*p**2. Let z(r) = 2*d(r) + 7*w(r). Factor z(s).
5*s**2*(s - 52)*(s + 1)**2
Let o(x) be the third derivative of -x**6/660 - x**5/55 + 15*x**4/44 + 50*x**3/33 - 2720*x**2. What is p in o(p) = 0?
-10, -1, 5
Let l(h) be the second derivative of -29*h + 14/9*h**3 - 1/3*h**2 - 49/18*h**4 + 0. Factor l(f).
-2*(7*f - 1)**2/3
Let g(t) be the second derivative of -1/15*t**5 - 19/3*t**3 + 0 + 0*t**2 - 22*t + 1/90*t**6 + 1/6*t**4. Let b(h) be the second derivative of g(h). Factor b(n).
4*(n - 1)**2
Let g(f) be the first derivative of 1/6*f**4 - 109 + 28*f**3 + 1764*f**2 + 49392*f. Factor g(l).
2*(l + 42)**3/3
Let s = -919 - -919. Let p(y) be the third derivative of 0*y + 2*y**2 + 1/180*y**5 + s + 0*y**3 - 1/72*y**4. What is o in p(o) = 0?
0, 1
Suppose -4*b - 29 = -c, -122 + 152 = -5*b. Let w(j) be the second derivative of 145/2*j**3 + 0 + 115/3*j**4 + 45*j**2 + 7*j**c - 35*j. Solve w(n) = 0 for n.
-3/2, -2/7
Determine o so that -13/5*o - 21/2 - 1/10*o**2 = 0.
-21, -5
Suppose 9*o + 157 = 301. Let c be (o/(-10))/((-18)/45). Factor -q**3 + q**2 + 1/2*q - 1/2 - 1/2*q**c + 1/2*q**5.
(q - 1)**3*(q + 1)**2/2
Let w be (159 + -160)/(2 - 54/28). Let z be -6 + (-49)/w - 133/(-42). Determine d so that z*d - 1/6*d**2 - 1/2 = 0.
1, 3
Let h = 17806 + -17802. Let j(c) be the second derivative of 21/40*c**5 - 38*c - 9/4*c**h + 0 - 3*c**2 + 15/4*c**3. Factor j(x).
3*(x - 1)**2*(7*x - 4)/2
Suppose 2*p + 4*q = 84, -p + 5*q + 14 = -7. Suppose p = -5*h + 36. Factor h*i**4 - 12*i**3 - 4*i**4 + 123*i - 12*i**2 - 127*i.
-4*i*(i + 1)**3
Let f be -3 + 27/((-1134)/138)*-1. Suppose 58/7*k**2 + 16/7 + 52/7*k - f*k**5 + 22/7*k**3 - 2/7*k**4 = 0. Calculate k.
-2, -1, 4
Let s = 180 - 2475/14. Let b = 607/154 - s. What is n in -b*n - 1/11*n**2 - 16/11 = 0?
-4
Factor 24 - 182 + 186*x - 154 - 3*x - 210 - 3*x**2.
-3*(x - 58)*(x - 3)
Suppose 2*q + q = 24. Suppose -40*j = -11*j - 435. Factor 4*x**4 + 166*x**3 + 12 - q*x - 158*x**3 - j*x**2 - x**2.
4*(x - 1)**2*(x + 1)*(x + 3)
Let m(r) be the third derivative of -r**5/160 + 183*r**4/64 + 10272*r**2. Find a such that m(a) = 0.
0, 183
Let x(n) be the first derivative of n**5/50 - 93*n**4/40 + 89*n**3/5 - 263*n**2/5 + 348*n/5 - 3977. Factor x(q).
(q - 87)*(q - 2)**3/10
Find g, given that 19*g**4 + 11690957 + 6*g**2 - g**2 + 3*g - 23*g**3 - 11690957 - 4*g**5 = 0.
-1/4, 0, 1, 3
Let l(q) = -8*q**4 + 8*q**2 - 7*q + 7. Suppose 3*c - 31 = 4*x, -2*c + 8 = -x - 6. Let g(o) = -o**4 + o**2 - o + 1. Let j(i) = c*l(i) - 35*g(i). Solve j(d) = 0.
-1, 0, 1
Find r such that 924 + 1627*r**2 - 1556*r + 926 - 1842 - 79*r**2 = 0.
2/387, 1
Let a(r) be the second derivative of r**7/4410 - r**6/420 - 2*r**5/105 - 37*r**4/6 - 32*r. Let j(m) be the third derivative of a(m). Factor j(l).
4*(l - 4)*(l + 1)/7
Suppose -y = 2*t - 5*y, -y = t - 9. What is j in 15 + 5*j - 10*j**3 - 9 + 5*j**5 - t = 0?
-1, 0, 1
Let v(q) = -772*q + 32427. Let b be v(42). What is g in -8/7*g**b - 8/7*g**2 + 0*g + 0 - 2/7*g**4 = 0?
-2, 0
Let b be (-390)/36 - 44/(-4). Let s(h) be the first derivative of 1/5*h**5 - 1/2*h**4 + h + b*h**6 - 2/3*h**3 + 1/2*h**2 + 3. Find z such that s(z) = 0.
-1, 1
Let j(s) = 221*s**2 - 157*s - 4. Let f(h) = -905*h**2 + 629*h + 16. Let p(y) = -6*f(y) - 26*j(y). Suppose p(w) = 0. What is w?
-2/79, 1
Let l(k) = 6*k**2 - 43*k - 5. Let t(i) = i**2 - 68 + 33 - i + 36 - 3*i**2. Let n(z) = -l(z) - 5*t(z). Factor n(o).
4*o*(o + 12)
Let a(m) be the third derivative of -5*m**7/63 - 59*m**6/36 - 412*m**5/45 - 131*m**4/9 - 32*m**3/3 + 1057*m**2. Determine n, given that a(n) = 0.
-8, -3, -2/5
Let x be (((-8)/15 + (-2)/(-6))*0)/4. Let m(h) be the first derivative of 6/35*h**5 + 3/14*h**2 + x*h - 7 + 0*h**3 - 9/28*h**4. Suppose m(q) = 0. Calculate q.
-1/2, 0, 1
Let i(d) be the first derivative of -3*d**5/80 - 23*d**4/24 - 5*d**3/6 - 67*d**2/2 + 93. Let n(y) be the second derivative of i(y). Factor n(f).
-(f + 10)*(9*f + 2)/4
Let u(d) be the first derivative of 8*d**2 + 99*d - 86. Let f be u(-6). Let -1/2*w**2 - 9/2 - f*w = 0. Calculate w.
-3
Let b(y) be the third der