derivative of -k**6/3420 + k**5/114 - 4*k**4/57 - k**3/2 - k**2 + 2*k + 2. Let c(z) be the second derivative of r(z). Factor c(m).
-2*(m - 8)*(m - 2)/19
Let k = 23 - 20. Let l(s) = s - 1. Let c be l(k). Factor -c*i**2 - 3 + 1 + i + 2*i - 7*i.
-2*(i + 1)**2
Let s = 33 - 12. Suppose 49 = 2*k + s. Solve -190 + 172 - 33*v**3 - 98*v**2 + k*v**2 - 69*v = 0.
-1, -6/11
Let p = -70 - -88. Factor 7*r**3 - p*r**3 + 17*r**3 + 9*r**2.
3*r**2*(2*r + 3)
Let d(p) be the third derivative of p**9/15120 - p**8/3360 + 5*p**4/24 + 8*p**3/3 - 136*p**2. Let g(v) be the second derivative of d(v). Factor g(o).
o**3*(o - 2)
Let s = -208/3 - -70. Let d be ((-332)/(-12) - 11) + -8 + -7. Factor -d*j**2 + 7/3*j - s.
-(j - 1)*(5*j - 2)/3
Let j(n) = -2553 + 54*n + 953 - 2*n**2 + 1260. Let y(o) = -o**2 + o**2 + 55*o - 2*o**2 - 341. Let p(r) = -3*j(r) + 2*y(r). Suppose p(g) = 0. What is g?
13
Suppose -4*o + 827 = 2*y - 21, 4*y = -4*o + 1704. Let n = 1713/4 - y. What is v in 5/4*v + v**2 + n*v**3 + 1/2 = 0?
-2, -1
Let k(z) = 5*z**4 + 55*z**3 + 93*z**2 - 59*z - 90. Let h(u) = 5*u**4 + 55*u**3 + 91*u**2 - 58*u - 90. Let c(y) = 4*h(y) - 3*k(y). Solve c(q) = 0 for q.
-9, -2, -1, 1
Let y(o) be the first derivative of o**3/15 + 6*o**2/5 + 4*o + 3290. Factor y(u).
(u + 2)*(u + 10)/5
Let g(h) = -39*h**2 - 2*h. Let q(j) = -38*j**2 - 4*j. Suppose 0 = 16*w - 56 + 8. Let s(a) = w*q(a) - 2*g(a). Factor s(m).
-4*m*(9*m + 2)
Let m = 22 + -21. Let r be ((-3)/6)/(m*4/(-24)). Determine g so that -2*g**r - 59*g + 6*g**2 + 23*g + 32*g = 0.
0, 1, 2
Let w = 730 + 181. Let a = -911 + w. Find f, given that 3/2*f**3 + f**2 + a*f - 5/2*f**4 + 0 = 0.
-2/5, 0, 1
Suppose -v + 5*d = -19, 0 = -2*v - 3*d + 2 + 49. Let v*r - 83 + 5*r**2 + 3*r**2 - 11*r**2 + 62 = 0. Calculate r.
1, 7
Suppose -9*r - 107 = -926. Factor n**2 + 3*n**2 - 72*n + 9 - 32*n + r.
4*(n - 25)*(n - 1)
Let u(a) be the second derivative of a**6/60 - a**5/5 + 5*a**4/12 - 53*a**2 - a + 7. Let b(s) be the first derivative of u(s). Factor b(t).
2*t*(t - 5)*(t - 1)
Suppose 3*u + 7*x = 6*x + 1383, 3*u - 1374 = -4*x. Let m be 114/u - (0 + (-2)/11). Find g, given that -3/7*g**5 - m*g**3 - 6/7*g**4 + 0*g + 0*g**2 + 0 = 0.
-1, 0
Find c such that 444*c - 1487 + 2*c**2 + 4*c + 469 + 568*c = 0.
-509, 1
Let p(z) be the third derivative of -z**4/6 + 5*z**3 - 7*z**2. Let n be p(7). Find j, given that j**n - 1 - 24*j - 10 + 155 = 0.
12
Factor 550/3 + 2/9*t**2 - 556/9*t.
2*(t - 275)*(t - 3)/9
Let c be -3 + -2 + (-459)/(-85). Let o = 10084/7185 - 5/1437. Factor 2/5*z**3 + 7/5*z**2 + 0 - c*z - o*z**4.
-z*(z - 1)*(z + 1)*(7*z - 2)/5
Suppose -2*z + 3*z - 793 = 2*h, 0 = -3*z - 5*h + 2434. Suppose -3*v = r - 1226, z = r + 2*v - 421. Factor 1220 + 12*o**2 + 8*o - r + 4*o**3.
4*o*(o + 1)*(o + 2)
Let j(h) be the second derivative of -1/13*h**3 + 2*h + 0*h**4 + 57 + 1/130*h**5 - 2/13*h**2. Solve j(x) = 0 for x.
-1, 2
Let z be 4/18 + 212/18 + 0. Find l, given that -5*l - 2 + z*l + l - 5*l - l**2 = 0.
1, 2
Let w(p) = 4*p**2 + p + 2. Let r be w(0). Factor 15*j + 18*j**4 + 1034*j**3 + 23*j**2 - 986*j**3 + j**5 + 23*j**r + 0*j**5.
j*(j + 1)**3*(j + 15)
Factor -57*w**3 + 6263 - 63*w - 3*w**4 - 12532 + 6269 + 123*w**2.
-3*w*(w - 1)**2*(w + 21)
Let d be (22/(-6))/((-20)/60). Factor 9*p + 16*p + 47 + 2*p**2 - d - 7*p.
2*(p + 3)*(p + 6)
What is h in 2362369/4*h**3 - 2 - 3073*h - 2359295/2*h**2 = 0?
-2/1537, 2
Let -3*h**2 - 248*h + 7*h**2 + 3501 - 4281 = 0. What is h?
-3, 65
Let f(r) = -5*r**2 + 28*r + 36. Let m(l) = -5*l**2 + 27*l + 34. Let h = -126 - -129. Let c(t) = h*m(t) - 2*f(t). Solve c(q) = 0.
-1, 6
Let g(c) be the first derivative of -8*c - 45 + 140/3*c**3 - 66*c**2. Suppose g(a) = 0. Calculate a.
-2/35, 1
Let m(y) = 3258*y - 887805. Let k(o) = o**2 - 3260*o + 887806. Let a(v) = 3*k(v) + 2*m(v). Factor a(t).
3*(t - 544)**2
Let a(z) = -38*z - z**2 - 36*z**2 - 24*z**2 + 0*z**2 + 21*z**2. Let f(r) = -r**4 - 39*r**2 - 37*r. Let b(t) = 3*a(t) - 2*f(t). Factor b(x).
2*x*(x - 5)*(x + 1)*(x + 4)
Suppose 16*q - 21*q + 130 = 0. Suppose q*u - 35 = 43. Factor -37/6*d + 34/3*d**2 - 1/3*d**4 - 7*d**u + 1 + 7/6*d**5.
(d - 1)**3*(d + 3)*(7*d - 2)/6
Let m(x) be the second derivative of -x**4/4 + 51*x**3/2 + 78*x**2 - 153*x - 2. Suppose m(l) = 0. Calculate l.
-1, 52
Let f be ((-634)/26)/(0 - 4/12). Let m = f - 73. Factor -6/13 + 8/13*g - m*g**2.
-2*(g - 3)*(g - 1)/13
Let z(r) be the second derivative of 36/5*r**2 - 29 + 3/5*r**3 + 2*r - 1/30*r**4. Solve z(x) = 0.
-3, 12
Let f(u) be the first derivative of -51/32*u**4 + 51/16*u**2 - 3/40*u**5 - 15 + 6*u - 15/8*u**3. Determine v so that f(v) = 0.
-16, -1, 1
Let a(q) be the first derivative of -2*q**3/27 - 241*q**2/9 - 956*q/9 - 45. Determine h so that a(h) = 0.
-239, -2
Suppose 4*z + 51 - 67 = -8. Factor -3/4*w**z + 5/4 + 7/2*w.
-(w - 5)*(3*w + 1)/4
Let z be (-1)/48*-28 + 49/(-588). Solve -1/2 - z*c**2 - c = 0.
-1
Let j(h) = 2*h**2 - 9*h - 40. Let p be j(7). Let v be 174/29 - (-22)/p. Factor -v*g**2 - 4/5 + 2*g + 2/5*g**3.
2*(g - 2)*(g - 1)**2/5
Let i(n) be the first derivative of -2*n**5/55 + 17*n**4/22 - 30*n**3/11 + 43*n**2/11 - 28*n/11 + 5913. Suppose i(v) = 0. Calculate v.
1, 14
Let -1330*u**3 - 140*u + 1334*u**3 - 3311 + 3503 - 56*u**2 = 0. What is u?
-3, 1, 16
Let y(j) be the first derivative of -2*j**5/5 - 1027*j**4/14 + 850*j**3 - 10061*j**2/7 + 620*j + 14204. Suppose y(c) = 0. What is c?
-155, 2/7, 1, 7
Let m(a) = -4*a**2 - 16*a + 30. Let k(y) = -6 - 5*y + 0 + 6 + 6*y + y**2. Let l(n) = -5*k(n) - m(n). Find c, given that l(c) = 0.
5, 6
Let a(p) be the second derivative of -p**7/21 - 8*p**6/15 + 15*p**4 + 27*p**3 - 162*p**2 + 351*p. Solve a(t) = 0.
-6, -3, 1, 3
What is c in 2280 - 270*c - 5*c**2 - 478*c - 239*c - 143*c = 0?
-228, 2
Let c be 550/18 + 8/18. Factor c + 58*q - 10*q**2 - 54*q + 1.
-2*(q - 2)*(5*q + 8)
Factor 2/11*y**2 + 536/11 - 538/11*y.
2*(y - 268)*(y - 1)/11
Find f such that 5/3*f**2 - 1820/3 + 75*f = 0.
-52, 7
Suppose -5*n + 74 = -2*p, -5*n - p = -5*p - 68. Determine q, given that 196*q + 5547 - 10*q**2 + 172*q - 3*q**2 - 110*q + n*q**2 = 0.
-43
Let i(n) = -12*n - 204. Let o be i(-17). Suppose o = 4*h + 7*h + 9*h. Suppose h - 2/5*w + 2/15*w**2 = 0. What is w?
0, 3
Let i(n) = n**3 - n**2 - 85*n + 330. Let g be i(6). Solve -2*d**4 - 10/3*d**2 + d + 1/3*d**5 + g + 4*d**3 = 0 for d.
0, 1, 3
Determine y, given that -217*y**4 + 181*y**4 + 81*y**3 - 42*y**2 - 3*y**5 - 80 + 80 = 0.
-14, 0, 1
Let f(x) be the second derivative of -46*x - 1/6*x**3 - 1/10*x**5 + 0*x**2 - 1/60*x**6 + 0 - 5/24*x**4. Factor f(h).
-h*(h + 1)**2*(h + 2)/2
Solve 5*v**4 + 660 + 622*v - 6*v**4 - 17*v**4 + 2*v**3 + 158*v**2 + 16*v**4 = 0.
-5, -3, -2, 11
Let m(g) be the second derivative of -1/120*g**4 - 2*g - 15 + 13/60*g**3 - 3/5*g**2. Factor m(n).
-(n - 12)*(n - 1)/10
Let l(p) be the third derivative of -p**7/630 + 47*p**6/360 - p**5/4 - 47*p**4/72 + 23*p**3/9 + 421*p**2 - p. Factor l(g).
-(g - 46)*(g - 1)**2*(g + 1)/3
Let d(f) = f**2 - 24*f - 23. Let x be d(25). Solve 24 + 1925*h + 48 + 4*h**4 - 1865*h - 28*h**x - 12*h**3 = 0.
-2, -1, 3
Let 20*m**2 + 2/9*m**3 + 7744/9 + 1408/3*m = 0. Calculate m.
-44, -2
Let h(k) be the third derivative of -1/160*k**5 + k**2 + 2*k + 0*k**3 - 1/560*k**7 + 1/160*k**6 + 0 + 0*k**4. Factor h(b).
-3*b**2*(b - 1)**2/8
Let k(r) = r**2 - 5*r - 11. Suppose -3*j + 36 - 15 = 0. Let h be k(j). Factor 0*b + 4 - b + b**2 - 5 + b**h + 0*b.
(b - 1)*(b + 1)**2
Let u(k) be the third derivative of 5*k**8/336 + k**7/14 - 21*k**6/8 - 67*k**5/12 + 105*k**4/4 + k**2 - 11026*k. Determine q, given that u(q) = 0.
-9, -2, 0, 1, 7
Let l(t) be the third derivative of t**7/42 - 25*t**6/12 + 97*t**5/12 - 10*t**4 + 147*t**2 - 2*t. Factor l(j).
5*j*(j - 48)*(j - 1)**2
Let h(v) be the second derivative of 0 + 0*v**3 + 1/3*v**4 - 8/3*v**2 - 1/15*v**5 - 96*v. Solve h(j) = 0.
-1, 2
Factor 0 - 1/5*z**3 + 167/5*z - 166/5*z**2.
-z*(z - 1)*(z + 167)/5
Let h(v) = -v**2 + 255*v - 8243. Let q be h(38). Find d such that -150*d**5 + 530*d**4 + 32/3 - 112*d + 422*d**2 - 2102/3*d**q = 0.
4/15, 1
Let g = -32273 - -290471/9. Find q, given that -32/9*q - 64/3*q**3 - 88/9*q**4 - 160/9*q**2 - g*q**5 + 0 = 0.
-2, -2/7, 0
Let g(s) = -150*s**2 + 4779*s + 1900851. Let r(o) = 201*o**2 - 4780*o - 1900852. Let x(t) = -4*g(t) - 3*r(t). Suppose x(v) = 0. What is v?
-796
Let