*(5*p + 2)
Let i = 316877/28 - 11317. Let q(p) be the second derivative of -1/4*p**3 - 13*p + 1/4*p**4 - i*p**7 - 1/20*p**6 + 3/20*p**5 - 3/4*p**2 + 0. Factor q(a).
-3*(a - 1)**2*(a + 1)**3/2
Let o(j) be the first derivative of -3*j**4/16 + 95*j**3/4 - 561*j**2/8 + 279*j/4 + 1634. Factor o(a).
-3*(a - 93)*(a - 1)**2/4
Suppose 5*x + 176 = 2126. Solve -190 - 666*m**2 - 239 - 48 - x - 3*m**4 - 72*m**3 - 24*m**3 + 1632*m = 0 for m.
-17, 1
Let c(p) be the second derivative of -p**6/60 - 13*p**5/40 - 11*p**4/12 + 2365*p. Find d such that c(d) = 0.
-11, -2, 0
Let t(p) be the third derivative of -p**6/150 + p**5/15 + p**4/30 - 2*p**3/3 - 4*p**2 + p. Determine w, given that t(w) = 0.
-1, 1, 5
Find u such that 15/2*u + 5 + 5/2*u**2 = 0.
-2, -1
Let q(v) = v**3 - 6*v**2 - 8*v + 3. Let i be q(7). Let k be (i/(-7))/(12/42). Factor 7*f**2 - 7*f**2 + 8 - 4*f + 12*f + k*f**2.
2*(f + 2)**2
Let g(l) = l**2 + 1. Suppose 3*y - 38 = 7. Let r(p) be the second derivative of -p**4/3 - 11*p**3/3 - 62*p**2 + 935*p. Let o(f) = y*g(f) + 5*r(f). Factor o(i).
-5*(i + 11)**2
Let j(m) = -10*m - 12. Let z be j(-4). Suppose -l - 1 - 3 = 0, -q + 4*l = -z. Factor -q*n**3 + 2*n**4 + 31 - 2*n**4 + 1 + 48*n + 8*n**2 - 4*n**4.
-4*(n - 2)*(n + 1)*(n + 2)**2
Suppose 0 = h + 15 - 18. Solve -3*z + 41*z**3 + 32*z**3 - 70*z**h = 0 for z.
-1, 0, 1
Let k(g) be the second derivative of -g**4/12 - 4*g**3/3 + 24*g**2 - 485*g + 1. Factor k(s).
-(s - 4)*(s + 12)
Let r(n) be the first derivative of n**6/3600 + n**5/240 - n**4/40 - 2*n**3/3 - 31*n - 89. Let k(v) be the third derivative of r(v). Solve k(x) = 0.
-6, 1
Let s(h) be the third derivative of -h**6/90 + h**5/3 - 8*h**4/3 + 39*h**3/2 - 3*h**2 - 5. Let j(x) be the first derivative of s(x). Solve j(f) = 0 for f.
2, 8
Let v(o) be the first derivative of o**5/10 - 121*o**4/8 - 497*o**3/6 - 375*o**2/4 - 6473. Suppose v(d) = 0. What is d?
-3, -1, 0, 125
Let z(r) be the second derivative of r**6/180 - 2*r**5/135 - r**4/27 + 47*r**2/2 - 23*r. Let i(f) be the first derivative of z(f). Solve i(m) = 0 for m.
-2/3, 0, 2
Let s(l) = -l**2 + 5*l + 5. Let o be s(5). Let w(k) = -2*k**2 - 17*k - 14. Let p be w(-4). Find g such that 29 - 9 - 17*g + p*g - o*g**2 + 10*g = 0.
-1, 4
Suppose -l + 21 = -3*y, -120*l - 75 = -124*l + 3*y. Let b(q) be the second derivative of 23/36*q**3 + l*q + 7/72*q**4 + 1/2*q**2 + 0. Factor b(d).
(d + 3)*(7*d + 2)/6
Let s be 60/(-100) + (-1680)/(-800). Suppose 0 = -3*x + 4*u + u + 11, -6 = -2*x + 2*u. Solve s*c - 3/2*c**x + 0 = 0 for c.
0, 1
Suppose -12*y + 8*y + 20 = 0, 5*y = -2*w + 45. Factor 12*i**3 + 539 + 2*i - w*i**2 - 539.
2*i*(2*i - 1)*(3*i - 1)
Let a(z) = -296*z - 3*z**3 + 606*z + 21 - z**2 - 2*z**2 - 295*z. Let i(w) = w**2 - 2*w - 1. Let p(h) = -a(h) - 15*i(h). Determine d, given that p(d) = 0.
1, 2
Let g(d) = 3*d**3 + 84*d**2 + 156*d + 2. Let b be g(-26). Factor -20/3*o**2 - 8/9 + 46/9*o - b*o**3.
-2*(o + 4)*(3*o - 1)**2/9
Factor -4160/9*h**2 - 44800/9*h + 0 + 292/9*h**3 - 4/9*h**4.
-4*h*(h - 40)**2*(h + 7)/9
Let n be (-3 + (4 - 1))*(4 + -5). Let l be (392/48)/(-49)*(n + -3). Solve -8/3 - 1/12*u**3 + l*u**2 + 0*u = 0.
-2, 4
Let f(t) be the third derivative of -t**5/12 - 299*t**4/12 + 40*t**3 - 794*t**2. Factor f(p).
-(p + 120)*(5*p - 2)
Suppose -347/6*k**3 + 130*k**4 - 302*k**2 + 539/3 + 119/2*k + 6*k**5 = 0. What is k?
-22, -1, 7/6
Let d(w) be the second derivative of -3/7*w**2 - 1/70*w**5 + 5/21*w**3 - 1/42*w**4 - 2 + 12*w. Factor d(s).
-2*(s - 1)**2*(s + 3)/7
Suppose -1075 = 19*x + 24*x. Let c be 52/14 + (-10)/(x/(-5)). Factor -c*w + 4/7*w**2 + 8/7.
4*(w - 2)*(w - 1)/7
Let c(s) be the first derivative of 2*s**4/3 + 2830*s**3/9 + 41654*s**2 - 20886*s - 935. Suppose c(d) = 0. What is d?
-177, 1/4
Find x such that 0 + 0*x + 0*x**2 + 453/7*x**3 + 1/7*x**4 = 0.
-453, 0
Let w(c) be the third derivative of -1/1080*c**6 + 17*c**2 + 11/54*c**3 + 0*c - 23/216*c**4 - 3 + 13/540*c**5. Factor w(f).
-(f - 11)*(f - 1)**2/9
Suppose -5*h + 4*v + 330 = 360, h = -v + 12. Factor 0 + 2/3*p**4 - 2/3*p**2 - h*p**3 + 2*p.
2*p*(p - 3)*(p - 1)*(p + 1)/3
Let u(k) be the second derivative of -k**4/32 - 51*k**3/16 - 741*k**2/8 + 4519*k. Factor u(f).
-3*(f + 13)*(f + 38)/8
Factor 238/3*d + 2/3*d**3 + 52 + 28*d**2.
2*(d + 1)*(d + 2)*(d + 39)/3
Let f = 42 + -28. Let t = -11 + f. Factor 9*j**t + 35*j**4 - 15*j**2 + 15*j**5 + 6*j**3 - 6*j - j - 3*j.
5*j*(j + 1)**3*(3*j - 2)
Let y = 309/19 + -3071/190. Let c(o) be the second derivative of -3/10*o**5 + 0 + 0*o**2 + 0*o**3 + y*o**6 - o + 1/4*o**4. Let c(u) = 0. Calculate u.
0, 1
Let v = -754 - -755. Let b be (-39)/(-325)*-5*v*-5. Factor -25/2*j**2 + b*j + 0 + 6*j**3 + 7/2*j**4.
j*(j - 1)*(j + 3)*(7*j - 2)/2
Let r(z) = -z**3 - 173*z**2 + 1159*z + 3030. Let x(o) = 87*o**2 - 579*o - 1518. Let b(a) = 3*r(a) + 7*x(a). Suppose b(l) = 0. What is l?
-2, 16
Solve -14 - 27*o**2 + 113/2*o**3 + 41*o**4 - 3/4*o**5 - 223/4*o = 0.
-1, -1/3, 1, 56
Let s = 941 - 946. Let w be ((-184)/(-100) - 2)*(-10 - s). Factor 0 + 2/5*o**4 + w*o - 2/5*o**2 - 4/5*o**3.
2*o*(o - 2)*(o - 1)*(o + 1)/5
Factor -13*r**3 - 373*r**2 + 9*r**3 + 5*r**3 - 449*r**2.
r**2*(r - 822)
Factor 175*z**2 + 174*z**4 + 0*z**3 + 79*z - 349*z**4 + 60*z**3 + 41*z + 180*z**4.
5*z*(z + 1)*(z + 3)*(z + 8)
Suppose 3 = -5*i + 13. Let j = -41289 + 41291. Determine n, given that 2/9*n**i + 0 - j*n = 0.
0, 9
Determine l, given that -5*l**2 + 733 + 34 + 441*l + 47*l**2 + l**3 + 605 = 0.
-28, -7
Factor 135/4 - 1/4*a**2 - 3/2*a.
-(a - 9)*(a + 15)/4
Suppose 3*s = -2*w - 2, -3*w = -s - 29 + 10. Suppose 0 = -w*p + 17 + 28. Factor -5*z - 5*z**2 - 7*z**4 + 3*z**4 + 5*z**3 + p*z**4.
5*z*(z - 1)*(z + 1)**2
Let w(v) = -v**3 + 7*v**2 - v + 5. Let z(k) = k + 2. Let u be z(-2). Let c be w(u). Factor 0*x**3 + 4/9*x**4 + 0*x**2 + 0*x + 2/9*x**c + 0.
2*x**4*(x + 2)/9
Let k(u) = 122*u + 14277. Let a be k(-117). Factor -1/3*p**5 - 10*p**3 + 44/3*p**2 + a*p**4 - 8*p + 0.
-p*(p - 3)*(p - 2)**3/3
Let m(u) be the third derivative of -11/54*u**4 - 7/27*u**3 - 1/90*u**5 - 130*u**2 + 0 + 0*u. Determine x, given that m(x) = 0.
-7, -1/3
Let d(h) be the second derivative of -h**4/42 + 664*h**3/21 - 663*h**2/7 + 5420*h. Factor d(n).
-2*(n - 663)*(n - 1)/7
Suppose i = -3*b + 15, -5*i - 30 = 3*b - 33. Let a(v) be the first derivative of 0*v + 0*v**2 - b*v**4 - 13 - 2/5*v**5 - 24*v**3. Suppose a(g) = 0. Calculate g.
-6, 0
Let a(p) = p**3 - 15*p**2 - p + 19. Let i be a(15). Suppose -i*o + 23 = 15. Find n such that -10/13*n**o + 12/13 - 2*n = 0.
-3, 2/5
Determine c, given that 16*c + 110/7 + 2/7*c**2 = 0.
-55, -1
Let g(m) be the first derivative of -2*m**3/3 - 490*m**2 - 120050*m - 1942. Factor g(j).
-2*(j + 245)**2
Factor -166/17*n + 2/17*n**2 + 480/17.
2*(n - 80)*(n - 3)/17
Let y(v) = 38309*v**2 + 2*v - 2. Let c be y(1). Let 247*g + 51*g**2 - g**3 - 33396 - 1114*g + c = 0. Calculate g.
17
Let k(b) be the first derivative of 8*b**3/33 - 87*b**2/11 - 4*b - 3833. Determine f, given that k(f) = 0.
-1/4, 22
Let b(r) be the third derivative of r**6/540 - 281*r**5/270 + 559*r**4/108 - 31*r**3/3 - r**2 + 21*r - 10. Factor b(f).
2*(f - 279)*(f - 1)**2/9
Suppose 0 = -59*h + 67*h - 808. Suppose -h = 12*v - 137. Factor 0*m - 4/5*m**v + 8/5*m**2 + 0.
-4*m**2*(m - 2)/5
Let m(a) = -3*a**5 + 10*a**3 - 2*a**2 - 7*a + 2. Let i = 165 - 167. Let t(o) = 11*o**5 - 40*o**3 + 9*o**2 + 29*o - 9. Let w(q) = i*t(q) - 9*m(q). Factor w(v).
5*v*(v - 1)**2*(v + 1)**2
Let q(l) be the third derivative of -16*l**6/105 - 8*l**5/105 + 2407*l**4/84 + 841*l**3/3 - 3*l**2 - 739*l - 1. Suppose q(f) = 0. Calculate f.
-29/8, 7
Let u be (8/2)/(74 + -58). Solve -5*d + 9 + u*d**2 = 0.
2, 18
Let i(a) = -3*a**2 + 8*a - 7. Suppose 18*x - 7*x = 55. Let f(o) = -2*o**2. Let u(p) = x*f(p) - 5*i(p). Let u(b) = 0. Calculate b.
1, 7
Suppose 28 + 162 - 2*u**2 + 310*u - 626*u - 2 + 130 = 0. Calculate u.
-159, 1
Factor 0 - 192/5*g**2 + 0*g + 2/5*g**5 - 8*g**4 - 184/5*g**3.
2*g**2*(g - 24)*(g + 2)**2/5
Let o(j) be the first derivative of -13/4*j**4 - 51 - 6*j**3 - 3/2*j**2 - 3/10*j**5 + 7/2*j. Find n, given that o(n) = 0.
-7, -1, 1/3
Let b(q) = 2*q**2 - 23*q. Let m(f) = -15*f**2 - 28880*f - 11740. Let w(l) = 20*b(l) + m(l). Factor w(g).
5*(g - 1174)*(5*g + 2)
Let x = 34591/2 + -17295. Let f(d) be the third derivative of -x*d**3 - 4*d**2 + 0*d + 7/48*d**4