23 + 10/3*s**3 + 5/12*s**4 + 10*s**2. Let m(d) be the first derivative of c(d). Solve m(p) = 0.
-2
Let y be (-2)/(-16)*6*(-293)/879*-6. Let f(v) be the first derivative of y*v**3 + 0*v + 3/2*v**2 - 30. Factor f(a).
3*a*(3*a + 2)/2
Suppose 7 = 204*g - 4903*g + 7. Factor 2*d + g - 1/3*d**3 + 1/3*d**2.
-d*(d - 3)*(d + 2)/3
Let u(d) be the third derivative of -d**6/60 - 3*d**5/10 - 5*d**4/3 - 56*d**2 - d + 2. Factor u(k).
-2*k*(k + 4)*(k + 5)
Let l(z) = -18*z - 50. Let a be l(-3). Determine s so that 20*s**4 + a*s**5 - 96*s**3 + 3 + 104*s**3 - 32*s**2 - 3 = 0.
-4, -2, 0, 1
Let z(v) be the second derivative of 45*v**3 - 51*v + 40*v**2 + 0 + 55/4*v**4 - 5/4*v**5. Let z(h) = 0. Calculate h.
-1, -2/5, 8
Let t(u) be the first derivative of -u**6/6 + 47*u**5/5 - 87*u**4/2 + 82*u**3/3 + 175*u**2/2 - 129*u + 30. Solve t(y) = 0.
-1, 1, 3, 43
Let s(y) = -13*y**3 - 110*y**2 - 560*y. Let w(a) = -11*a**3 - 110*a**2 - 560*a. Let d(p) = 3*s(p) - 4*w(p). Determine i, given that d(i) = 0.
-14, -8, 0
Suppose -31 = h - 35. Factor -54*m**3 + 24*m**2 - 868*m**h + 33*m**3 + 871*m**4 + 48*m.
3*m*(m - 4)**2*(m + 1)
Find q such that -268*q - 45929 + 314*q + 20827 - 53298 + 514*q - q**2 = 0.
280
Let g = 10912 - 10890. Let s(x) be the second derivative of 0 - 1/130*x**5 + 1/78*x**4 + 0*x**2 + 0*x**3 + g*x. Find o such that s(o) = 0.
0, 1
Factor 271*t**2 - 408*t**2 + t**3 + 235*t**2 - 99*t.
t*(t - 1)*(t + 99)
Factor -6/7*o + 6/7*o**3 - 12/7 + 12/7*o**2.
6*(o - 1)*(o + 1)*(o + 2)/7
Suppose 1255 = -29*x - 3965. Let j be ((-12)/(-100))/((-54)/x). Factor -j*p**5 + 6/5*p**3 - 2/5*p**4 + 2*p**2 + 0 + 4/5*p.
-2*p*(p - 2)*(p + 1)**3/5
Factor -5175 - 7893 - 738612*z + 158*z**2 + 585*z**2 + 748908*z + 147*z**3 + 1882*z**2.
3*(z - 1)*(7*z + 66)**2
Let g(c) be the third derivative of 55*c**2 - 1/16*c**4 + 0*c - 1/40*c**5 + 0 + 1/2*c**3. What is j in g(j) = 0?
-2, 1
Suppose -2565/11*n - 2700/11 + 17/11*n**3 + 153/11*n**2 - 1/11*n**4 = 0. What is n?
-12, -1, 15
Let x(l) = 2*l**2 - 14*l - 34. Let b be x(-3). Suppose -85*t - b = -98*t. Factor 25/4*u - 5/2 + 5/4*u**3 - 5*u**t.
5*(u - 2)*(u - 1)**2/4
Let f(z) be the second derivative of -16*z**6/45 + 244*z**5/15 - 235*z**4/6 + 262*z**3/9 - 29*z**2/3 - 291*z - 5. Find c such that f(c) = 0.
1/4, 1, 29
Let f = 79 + -75. Factor 4*d**f + 129 + 119 - 244 - 8*d**2.
4*(d - 1)**2*(d + 1)**2
Suppose 5*s - 44 = 196. Let w = 50 - s. Determine i, given that 0*i**3 - 4*i + 4*i**4 + 4*i**3 - 2 - 4*i**w + 2 = 0.
-1, 0, 1
Let a(s) be the first derivative of -159 + 45/4*s**2 - 1/4*s**3 - 675/4*s. Suppose a(u) = 0. What is u?
15
Let s(q) be the third derivative of -q**8/80640 + q**7/480 - q**5/60 + 7*q**3/3 + 90*q**2. Let y(v) be the third derivative of s(v). Factor y(j).
-j*(j - 42)/4
Let x(w) be the first derivative of w**6/14 + 19*w**5/105 + 4*w**4/21 - 4*w**3/3 + 2*w**2 + 62. Let g(l) be the third derivative of x(l). Solve g(k) = 0.
-4/9, -2/5
Let b = -19 + 54. Let a + a**4 + a - 42*a**2 - 8*a + b*a**2 = 0. What is a?
-2, -1, 0, 3
Let c(f) be the second derivative of -f**8/560 - f**7/350 + f**6/200 + f**5/100 + 27*f**2 - 76*f. Let y(v) be the first derivative of c(v). Solve y(x) = 0.
-1, 0, 1
Let c(x) be the third derivative of -1/80*x**6 - 3/4*x**3 + 0 + 3/40*x**5 + 132*x**2 + 0*x + 1/16*x**4. Suppose c(k) = 0. What is k?
-1, 1, 3
Let h = 311258 + -2801260/9. Factor 2/3*n**3 + h*n**2 - 22/9 - 46/9*n.
2*(n - 1)*(n + 11)*(3*n + 1)/9
Factor -5*t + 25/2 + 1/2*t**2.
(t - 5)**2/2
Determine l, given that -10*l**3 - 20782*l + 25*l**4 - 40*l**2 + 20782*l - 5*l**5 = 0.
-1, 0, 2, 4
Let n = -77 - -20. Let u = n + 72. Solve 67*v + 435*v**3 - u - 445*v**2 + 78*v - 9*v**4 - 80*v**5 - 2*v**4 - 29*v**4 = 0 for v.
-3, 1/4, 1
Let o(b) be the second derivative of -11*b**4/15 + 21*b**3/5 + 9*b**2/5 + 287*b - 3. Factor o(k).
-2*(k - 3)*(22*k + 3)/5
Let p(s) be the third derivative of s**5/100 - 53*s**4/5 + 22472*s**3/5 - 1526*s**2 - 2. Let p(b) = 0. Calculate b.
212
Suppose -115*s - 155*s = -314 - 496. Factor s + 4/3*c**2 - 7/2*c - 1/6*c**3.
-(c - 3)**2*(c - 2)/6
Let c = -602/19 + 21262/57. Let o = -341 + c. Let o*a - 1/6*a**2 + 0 = 0. What is a?
0, 2
Let n(v) = 27*v - 156. Let r be n(6). Factor -2*b - 14*b + r - 2 - 19*b**2 + 15*b**2 + 16*b**3.
4*(b - 1)*(b + 1)*(4*b - 1)
Let n(u) be the first derivative of -u**3 - 28*u**2 + 19*u + 4873. Factor n(f).
-(f + 19)*(3*f - 1)
Suppose 114 = 2*h + 559*x - 564*x, h + 9*x = -196. Determine n, given that 0 + 1/6*n**3 - 5/6*n**h + 5/6*n**4 - 1/6*n**5 + 0*n = 0.
-1, 0, 1, 5
Suppose 200 - 296 = -16*a. Factor -3*b + 21*b - b**2 - b - a*b.
-b*(b - 11)
Let r(t) be the first derivative of -7*t**3 + 0*t**2 + 9/5*t**5 - 1/2*t**6 - 34 + 12*t + 3/4*t**4. Find w such that r(w) = 0.
-1, 1, 2
Suppose -3*y - q + 73 = 0, -2*y = 4*q - 9*q - 77. Solve -14*o**4 - 349*o + 10*o**2 + 414*o - 5*o**5 - y*o**4 - 60*o**3 + 30 = 0 for o.
-6, -1, 1
Let b be 4/560 + 45/450. Let r(f) be the second derivative of 4*f + 25/14*f**2 - 1/140*f**5 - b*f**4 + 0 - 5/14*f**3. Let r(l) = 0. Calculate l.
-5, 1
Let h be (-273)/23 + 16*208/256. Solve h*c - 10/23*c**2 - 12/23 = 0 for c.
3/5, 2
Let d(h) = -7*h**4 + 29*h**3 + 7*h**2 - 35*h + 2. Let y(t) = 8*t**4 - 26*t**3 - 8*t**2 + 35*t - 3. Let z(b) = -3*d(b) - 2*y(b). Solve z(u) = 0 for u.
-1, 0, 1, 7
Find l such that -l**3 - 4473*l**2 + l**3 + 4497*l**2 - 57*l + 2*l**3 + 36 - 5*l**3 = 0.
1, 3, 4
Let j(k) be the third derivative of 0*k**3 - 1/15*k**5 - 1/60*k**6 + 0 + 0*k + 77*k**2 + 1/105*k**7 + 0*k**4. Factor j(y).
2*y**2*(y - 2)*(y + 1)
Let b(x) be the first derivative of 18*x**3/5 + 3336*x**2/5 + 618272*x/15 + 2787. Factor b(c).
2*(9*c + 556)**2/15
Let 86/13 - 2/13*x**2 + 84/13*x = 0. Calculate x.
-1, 43
Factor 117*l**2 - 13924 + 6726*l + 1/2*l**3.
(l - 2)*(l + 118)**2/2
Let g(r) = 13*r**2 + 22*r + 29. Let c(p) = -p**2 - 13*p + 25. Let d be c(-15). Let t(v) = 24*v**2 + 45*v + 57. Let b(u) = d*t(u) + 9*g(u). Solve b(f) = 0 for f.
-8, -1
Let a(m) = 5*m**2 - 2*m - 25. Let o(h) = 27*h**2 - 11*h - 125. Suppose -3*r = -15, 4*l - r + 2 = -11. Let u(g) = l*o(g) + 11*a(g). What is c in u(c) = 0?
-5, 5
Suppose 250*v**3 + 396*v**2 + 390 + 267*v**3 - 520*v**3 - 783*v = 0. What is v?
1, 130
Let l(o) = -1. Let t(s) = -s**2 + s + 1. Let d(r) = -11*r**2 + 21*r + 4. Let x(h) = -d(h) + 6*t(h). Let w(p) = -2*l(p) - x(p). Factor w(q).
-5*q*(q - 3)
Suppose -32 = 29*o - 28*o. Let s = o + 63. Factor 4*t**2 + s*t**3 - 168*t + 15*t**3 + 36 + 161*t**2 + 29*t**3.
3*(t + 3)*(5*t - 2)**2
Let q be (-3)/2*(66 + -68). Suppose 0 = -3*j - q*y + 24, 42 = -2*j - 4*y + 60. Find v, given that -61/2*v**2 + j*v**3 + 42*v - 1/2*v**4 - 18 = 0.
1, 6
Solve 10/21 + 22/21*d + 2/3*d**2 + 2/21*d**3 = 0.
-5, -1
Let y be 0 + 3 - (-2 + 0/1). Factor 4*q**2 - 38 - 2*q**y - 12*q**4 + 46 - q**5 + 18*q + q**5 - 16*q**3.
-2*(q - 1)*(q + 1)**3*(q + 4)
Suppose -2*m - 40*x + 39*x - 3 = 0, -3*m - 148 = 22*x. Let 27/5*k**3 - 144/5*k**m - 18/5 - 21*k = 0. Calculate k.
-1/3, 6
Let c(p) be the third derivative of -p**9/20160 + 3*p**7/560 + p**5/60 + p**4/12 - p**2 + 7. Let d(q) be the third derivative of c(q). Solve d(g) = 0 for g.
-3, 0, 3
Let g = 6157/70 - 615/7. Let p(t) be the third derivative of 1/200*t**6 - 3/100*t**5 + 3/40*t**4 - g*t**3 + 0 + 18*t**2 + 0*t. Factor p(y).
3*(y - 1)**3/5
Determine a so that -194/9*a - 304/9*a**2 - 10/3 = 0.
-3/8, -5/19
Let t = 1418 + -1414. Let s be (-62)/8*4*-1. Let -t*f - 18*f**4 - 6*f**2 - 11*f**4 + s*f**4 = 0. Calculate f.
-1, 0, 2
Factor -10*g**2 + 0 + 2/3*g**3 - 68/3*g.
2*g*(g - 17)*(g + 2)/3
Determine b, given that -8*b**4 + 12*b + 41543 + 41534 - 20*b**3 - 83077 + 16*b**2 = 0.
-3, -1/2, 0, 1
Let u(i) = 2*i. Let d be u(22). Let 48*c**2 - 3*c**3 + 32*c**2 - 768 - d*c**2 = 0. Calculate c.
-4, 8
Let f(y) be the first derivative of 2*y**4 + 214*y**3/9 + 29*y**2 - 16*y/3 - 6684. Let f(q) = 0. Calculate q.
-8, -1, 1/12
Let g = 73182/185 + 134/37. Let c = g - 41866/105. Let -2/21*m**5 - 8/21*m + 10/21*m**3 + c*m**2 - 8/21 - 2/21*m**4 = 0. Calculate m.
-2, -1, 1, 2
Let v = -50 + 47. Let z be (-3)/(-2)*(-4)/v. Suppose 0*b**3 - z - b**3 + b + 2 = 0. What is b?
-1, 0, 1
Let u = -169 + 171. Factor -5*h**2 - 89 + 209 - 70*h + 10*h**u.
5*(h - 12)*(h - 2)
Factor -4*l**2 - 7623*l + 1606 + 2109 - 1809.
-(l + 1906)*(4*l - 1)
Suppose 4*q + 3*j = 42, -2*q - 7*