2*(t + 2)*(t + 12)**2/4
Let z be 75/18 + (-2680)/(-3216). Determine l so that 1/3*l**z + 0 + 0*l - 1/3*l**3 + 0*l**4 + 0*l**2 = 0.
-1, 0, 1
Let u(n) be the second derivative of -3*n**7/7 - 49*n**6/10 - 99*n**5/20 + 31*n**4 + 42*n**3 + 2955*n. Determine h so that u(h) = 0.
-7, -2, -2/3, 0, 3/2
Let u = -7155 + 7157. Let a(x) be the first derivative of 4/3*x**u + 16/3*x + 1/9*x**3 - 15. Factor a(t).
(t + 4)**2/3
Let q(t) be the third derivative of -t**7/42 - 65*t**6/24 - 44*t**5 - 850*t**4/3 - 2240*t**3/3 + t**2 + 38. Factor q(d).
-5*(d + 1)*(d + 4)**2*(d + 56)
Let k(b) be the second derivative of -b**7/3780 + b**6/216 + 7*b**5/90 - 7*b**4/2 + 2*b - 1. Let a(c) be the third derivative of k(c). Factor a(r).
-2*(r - 7)*(r + 2)/3
Let n(z) be the second derivative of z**6/70 + 3*z**5/5 - 29*z**4/28 - 407*z. Factor n(v).
3*v**2*(v - 1)*(v + 29)/7
Suppose -3*p - 5*q = -4 + 2, -3*p - 4*q + 4 = 0. Factor -10*k**3 - 19*k**3 - 8*k**2 - 10*k**2 - 8*k**p + 8*k**3 - k**5.
-k**2*(k + 2)*(k + 3)**2
Solve -2/9*t**3 - 110/9*t + 28/9*t**2 + 28/3 = 0.
1, 6, 7
Let v(l) = -55*l**2 - 2399*l - 474. Let a(o) = -160*o**2 - 7198*o - 1423. Let d(x) = 6*a(x) - 17*v(x). Factor d(y).
-5*(y + 96)*(5*y + 1)
Let k(w) be the first derivative of 79/7*w**2 + 4*w + 22/21*w**3 + 320. Determine q, given that k(q) = 0.
-7, -2/11
Suppose 6*a = 11*a + 945. Let r be 10/(-6) + (-639)/a. Let 4*k**2 - 50/7*k + r = 0. What is k?
2/7, 3/2
Factor 4/9 - 2756/9*y + 474721/9*y**2.
(689*y - 2)**2/9
Let h be (-13)/(702/(-12)) + (-16)/(-9). Let x(i) be the first derivative of -5/4*i**4 + 0*i**3 + 5/2*i**h + 0*i + 10. Solve x(l) = 0 for l.
-1, 0, 1
Let d(j) be the first derivative of j**6/90 + j**5/30 - j**4/9 - 4*j**3/9 + 108*j + 67. Let q(b) be the first derivative of d(b). Factor q(k).
k*(k - 2)*(k + 2)**2/3
Let s(d) be the first derivative of 31/5*d**3 + 87/20*d**4 + 12/25*d**5 + 0*d + 117 + 9/5*d**2. Let s(q) = 0. Calculate q.
-6, -1, -1/4, 0
Let o(v) = -473*v - 1416. Let k be o(-3). Let p = -2749 - -3863. Determine y so that k + 5 - p*y**2 + 1110*y**2 - 4*y = 0.
-2, 1
Let u(y) be the first derivative of -y**4/21 + 32*y**3/21 - 30*y**2/7 - 88*y + 45. Let g(o) be the first derivative of u(o). Solve g(v) = 0.
1, 15
Factor 351413 + 5*y**4 + 29*y**3 - 749*y**3 - 351413 - 408*y + 1425*y**2 - 302*y.
5*y*(y - 142)*(y - 1)**2
Let j be 5866/434*(-303)/(-546). Let p = j - 2/2821. Factor -15/4*n**3 + 69/4*n**2 + p*n + 0.
-3*n*(n - 5)*(5*n + 2)/4
Let u(g) be the second derivative of 3*g**5/10 - 25*g**4/4 + 17*g**3 - 33*g**2/2 - g - 567. Find q such that u(q) = 0.
1/2, 1, 11
Let a(b) be the third derivative of 0 + 1/20*b**5 + 151*b**2 - 3/2*b**4 + 0*b + 0*b**3. Factor a(l).
3*l*(l - 12)
Let r(f) be the first derivative of f**6/1260 + 59*f**5/210 + 3481*f**4/84 + 16*f**3/3 + f**2 - 43. Let m(c) be the third derivative of r(c). Factor m(t).
2*(t + 59)**2/7
Let d(x) be the first derivative of -3*x**5/5 - 807*x**4/4 - 1328*x**3 - 3174*x**2 - 3168*x - 2712. Let d(v) = 0. Calculate v.
-264, -2, -1
Let t(f) be the third derivative of -f**5/60 - 151*f**4/24 - 365*f**3/3 - 955*f**2 - 3*f. Let t(p) = 0. What is p?
-146, -5
Suppose -1/4*b**5 + 152*b**2 + 27/2*b**4 - 171/2*b**3 - 423/2 + 159/4*b = 0. Calculate b.
-1, 2, 3, 47
Let -427*d + 2342*d - 1920 + 236647*d**2 - 236642*d**2 = 0. What is d?
-384, 1
Solve -6/11*m**4 + 0 - 6*m + 126/11*m**2 - 54/11*m**3 = 0 for m.
-11, 0, 1
Let r(l) be the third derivative of 0*l**3 - 12*l**2 + 0 + 1/24*l**5 + 0*l + 15/16*l**4. Factor r(u).
5*u*(u + 9)/2
Let f(h) be the first derivative of 0*h**2 - 140 + 2/5*h**5 - 6*h**3 + 0*h**4 + 0*h. Find x, given that f(x) = 0.
-3, 0, 3
Find d such that -248*d**2 + 1740*d**2 + 2869*d**3 - 1432*d**3 - 1933*d**3 - 16 - 173*d + 2145*d = 0.
-1, 1/124, 4
Let p(m) = -24*m + 196. Suppose -19 = 3*v - 4, 5*z - 65 = 5*v. Let c be p(z). What is l in 1/3*l**5 + 1/3*l**3 + l**c - 2/3*l - l**2 + 0 = 0?
-2, -1, 0, 1
Let v(i) be the first derivative of -i**4/12 - 536*i**3/9 + 1078*i**2/3 - 720*i - 5518. What is m in v(m) = 0?
-540, 2
Let h(m) be the second derivative of 5*m**5 - 835*m**4/3 - 677*m**3/2 - 153*m**2 - 1494*m. Factor h(l).
(l - 34)*(10*l + 3)**2
Let d(w) = w**3 - 16*w**2 - 129*w - 9. Let z be d(22). Factor z*p**2 - 3*p**3 - 14*p**2 + 12 - 9*p**2 - 24*p - 19*p**2.
-3*(p - 2)**2*(p - 1)
Let f = -1018 - -666. Let q be -4 + (3/(-12) - 1560/f). Solve 0*z - 16/11*z**3 + q - 6/11*z**4 - 12/11*z**2 = 0 for z.
-1, 1/3
Let h be -90 - -96 - (-1309)/(-18). Let i = h - -602/9. Let 1/3 - 5/6*l + 2/3*l**2 - i*l**3 = 0. Calculate l.
1, 2
Let s be (-260)/16640*24 + (19/(-24))/((-2)/6). Factor 0*c - 5/3*c**5 + 0 - 10*c**4 - 40/3*c**s - 20*c**3.
-5*c**2*(c + 2)**3/3
Let u(y) be the first derivative of -y**4 - 12*y**3 + 20*y**2 + 4163. What is m in u(m) = 0?
-10, 0, 1
Suppose 2*f + 4*k - 120 = 0, -10*f = -6*f + 3*k - 215. Factor 91*i**2 - 35 - 31*i**2 + 65*i + 5*i**5 - f*i**2 - 70*i**3 + 25*i**4.
5*(i - 1)**3*(i + 1)*(i + 7)
Let r(a) be the second derivative of -a**5/80 - 7*a**4/24 - 35*a**3/24 - 11*a**2/4 - 51*a - 7. Factor r(c).
-(c + 1)*(c + 2)*(c + 11)/4
Let o(l) be the first derivative of 5*l**4/4 - 170*l**3 + 1920*l**2 - 7520*l + 3493. Determine m so that o(m) = 0.
4, 94
Let s(v) be the second derivative of -2/17*v**2 + 1/34*v**4 + 0 - 1/170*v**5 - 23*v - 1/255*v**6 + 1/51*v**3. Solve s(z) = 0.
-2, -1, 1
Suppose 0 = -s + 5*b + 26 - 3, 0 = s - 3*b - 23. Suppose 9*x = s*x. Solve 2/9*m**4 + 0*m + x*m**3 - 4/9*m**2 + 2/9 = 0 for m.
-1, 1
Let b = -275455 - -826366/3. Factor 0 - b*s**3 - 1/3*s**4 + 2/3*s**2 + 0*s.
-s**2*(s - 1)*(s + 2)/3
Let a(l) be the first derivative of 15*l**4/16 - 23*l**3 + 1263*l**2/8 - 231*l/2 + 6762. Find o, given that a(o) = 0.
2/5, 7, 11
What is t in 3380*t**2 + 325*t**3 + 9*t - 7*t**5 - 9*t + 12*t**5 + 129*t**4 - 239*t**4 = 0?
-4, 0, 13
Let 2/9*l**3 - 340/3 - 518/9*l + 0*l**2 = 0. What is l?
-15, -2, 17
Let m = 1286145278/9871729 - 2/1410247. Factor 2963088/7*p + m*p**3 + 4/7*p**4 + 77976/7*p**2 + 42224004/7.
4*(p + 57)**4/7
Let v(x) = 12*x**3 + 522*x**2 - 2955*x + 9. Let c(l) = -3*l**3 - 131*l**2 + 740*l - 2. Let w(p) = -9*c(p) - 2*v(p). Determine h so that w(h) = 0.
-50, 0, 5
Suppose -4*s = -9*s + 20. Factor -3*q**s - 10*q**3 - 6*q + 27*q**2 - 24*q**2 + 16*q**3.
-3*q*(q - 2)*(q - 1)*(q + 1)
Let y(j) be the first derivative of 6*j**3 + 0*j + 0*j**2 + 33 - 3/40*j**5 - 1/120*j**6 + 0*j**4. Let c(f) be the third derivative of y(f). Solve c(w) = 0.
-3, 0
Let g be (-164920)/112*(1 + 6/(-5)). Let y = -294 + g. Find s, given that -s**3 - 1/4*s**5 + 5/4*s - s**4 + 1/2*s**2 + y = 0.
-2, -1, 1
Suppose 5*n + 2*h = 54, 12*n + 1264*h = 1265*h + 2. Let -2*b - 1/4*b**5 - 9/2*b**3 + 5*b**n + 7/4*b**4 + 0 = 0. Calculate b.
0, 1, 2
Let n = -128724 - -128727. Suppose 954/7*g**2 - 276/7*g - 555/7*g**n + 24/7 - 432/7*g**5 - 1416/7*g**4 = 0. Calculate g.
-2, 2/9, 1/4
Factor -13/9*o**2 + 1/9*o**3 + 13/9 - 1/9*o.
(o - 13)*(o - 1)*(o + 1)/9
Let v(t) = -2*t**3 - 517*t**2 - 2028*t - 1618. Let f(g) = g**3 + 258*g**2 + 1013*g + 801. Let k(c) = 7*f(c) + 3*v(c). Factor k(u).
(u + 1)*(u + 3)*(u + 251)
Let o(i) be the first derivative of -115*i**2 + 1/3*i**3 + 41/10*i**5 + 100*i + 1/6*i**6 - 67 + 215/8*i**4. Let o(x) = 0. Calculate x.
-10, -2, 1/2, 1
Let m(n) = n**2 - 126*n - 6618. Let f be m(-40). Let z(d) be the second derivative of 0 + 7/36*d**4 + 5/6*d**3 + 3/2*d**2 + 1/60*d**5 + f*d. Factor z(y).
(y + 1)*(y + 3)**2/3
Let q = -10/3667 - -58922/91675. Factor -4/25*j + q - 2/25*j**2.
-2*(j - 2)*(j + 4)/25
Let p = -110 + 108. Let l be ((-10)/6 + 1/3)/p. Let -l*q**3 - 4/3*q + 0 - 2*q**2 = 0. What is q?
-2, -1, 0
Solve -2770/3 - 2/3*h**2 + 924*h = 0 for h.
1, 1385
Determine y, given that -8/3*y + 2/3*y**2 + 2 = 0.
1, 3
Suppose -w = -2*h - 6, 13 + 2 = -3*h. Let i(q) = 90*q**2 - 585*q - 609. Let z(r) = 11*r**2 - 73*r - 76. Let m(j) = w*i(j) + 33*z(j). Let m(x) = 0. What is x?
-1, 24
Let 481*x - 20*x**2 + 66*x**2 - 28*x**3 + 770 + 48*x**3 - 21*x**3 = 0. What is x?
-7, -2, 55
Find s such that 12*s**5 + 7*s + 548431*s**4 + 9*s - 48*s**2 - 12*s**3 - 548399*s**4 = 0.
-2, 0, 1/3, 1
Let w(c) be the second derivative of 6 + 8*c**2 + 1/5*c**5 + 6*c**3 - c + 2*c**4. Determine g so that w(g) = 0.
-4, -1
Suppose 3*f = -5*o + 11, 0 = f - 5*o + 6 - 3. Let t(n) be the second derivative