6/3*h**3 + 0*h**4 - 48/5*h**6 - 5/3*h**7 + 0*h**2. Find d, given that x(d) = 0.
-2, -2/5, 0, 2/7
Factor -74356*k + 35*k**2 + 137283*k - 69972*k + 2010.
5*(k - 201)*(7*k - 2)
Let s(p) be the second derivative of 5*p**4/6 + 311*p**3/6 + 31*p**2/2 + 147*p. Factor s(x).
(x + 31)*(10*x + 1)
Factor -2668*u + 7204*u - 2489*u - 5*u**3 - 2832*u - 790*u**2.
-5*u*(u + 1)*(u + 157)
What is m in 87*m**2 - 153*m**3 + 0*m**5 - 145*m**4 + 19*m**2 + 324*m + 72 - 150*m**4 + 4*m**5 + 292*m**4 = 0?
-6, -1, -1/4, 2, 6
What is c in 313448640/7*c**2 + 4233/7*c**4 + 1992324/7*c**3 + 307492800/7*c + 3/7*c**5 - 622938000/7 = 0?
-470, -2, 1
Find z such that -53/4*z**3 + 49 - 1/4*z**4 - 195/4*z**2 + 53/4*z = 0.
-49, -4, -1, 1
Let q(c) = -c**3 + 2*c**2 + 2*c + 1. Let y be q(-1). Suppose y*p - 1476 = -7*p. Factor -p*j**3 - 6*j**2 - 20*j + 21*j**2 + 169*j**3.
5*j*(j - 1)*(j + 4)
Let o = -6 - -9. Let x = 5060 - 35414/7. Let x*u**4 - 4/7*u - 6/7*u**2 + 0 + 2*u**o - 10/7*u**5 = 0. Calculate u.
-1, -2/5, 0, 1
Let k(t) be the second derivative of t**5/600 + 7*t**4/240 + t**3/10 + 51*t**2 + 34*t + 2. Let n(z) be the first derivative of k(z). Factor n(b).
(b + 1)*(b + 6)/10
Let d(o) be the second derivative of 0 - 1/48*o**4 - 3/4*o**2 - 108*o - 7/24*o**3. Suppose d(b) = 0. Calculate b.
-6, -1
Suppose -2*p + 7 - 27 = -2*g, 4 = -4*p. Solve -4*i**2 + 12*i**2 - 15 - g - 3*i**2 - 45*i - 26 = 0 for i.
-1, 10
Let u be 7/(21/2) - 33/9. Let y = u - -7. Determine p, given that -8*p**3 - 16*p**2 + 8*p**2 - y*p**3 - 2*p**4 - 2*p**4 = 0.
-2, -1, 0
Let b be ((((-675)/10)/(-27))/(-5))/((-1)/10). Let c(f) be the third derivative of -1/60*f**b + 0 - 2/3*f**3 - 1/6*f**4 - 38*f**2 + 0*f. Factor c(j).
-(j + 2)**2
Suppose -60422 = -1153*d - 52351. Suppose -1/2*s**2 - d*s + 1/2*s**3 + 12 = 0. What is s?
-4, 2, 3
Suppose -663/2*w**2 - 47/2*w**3 + 1/2*w**4 + 1463/2*w - 377 = 0. Calculate w.
-13, 1, 58
Let w(b) = 12*b**4 - 20*b**3 - 14*b**2 + 18*b - 36. Let f(m) = -m**5 + 35*m**4 - 61*m**3 - 42*m**2 + 55*m - 126. Let k(i) = -2*f(i) + 7*w(i). Solve k(a) = 0.
-8, -1, 0, 1
Determine y so that 0*y**3 + 0 + 1/11*y**5 + 0*y + 0*y**2 - 23/11*y**4 = 0.
0, 23
Factor -50 + 50*p - 1/2*p**3 + 1/2*p**2.
-(p - 10)*(p - 1)*(p + 10)/2
Let r(n) be the second derivative of -n**6/75 - 428*n**5/25 - 91592*n**4/15 - 2*n - 725. Factor r(s).
-2*s**2*(s + 428)**2/5
Suppose -3*i = -7*i + 2*o + 16, 5*i = 3*o + 22. Let d be 0/(2 + 9/(-3)). Factor 0*v + d + 3/4*v**i + 3/4*v**3.
3*v**2*(v + 1)/4
Solve -4428 - 23*j**4 + 4237*j + 19*j**4 + 520*j**3 + 7454*j - 112*j**2 - 3392*j**2 - 4275*j = 0.
1, 3, 123
Factor 31*u**4 + u**5 - 70*u**2 - 13*u + 86*u - 2*u**2 + 41*u**4 - 74*u**3.
u*(u - 1)**2*(u + 1)*(u + 73)
Suppose 5*l - 268 = 12. Suppose 146 + 22 = l*h. Factor h + 1/3*p**2 + 10/3*p.
(p + 1)*(p + 9)/3
Let c(b) be the third derivative of 1/20*b**5 - 3/8*b**4 + 0 + 0*b**3 + 0*b - 51*b**2. Find z such that c(z) = 0.
0, 3
Find k, given that -17415*k + 8730*k - 3*k**4 + 90 - 87*k**2 - 39*k**3 + 8724*k = 0.
-10, -3, -1, 1
Let l(w) be the second derivative of w**5/60 - 13*w**4/36 + 5*w**3/9 + 4*w**2 - 2*w - 130. Determine o, given that l(o) = 0.
-1, 2, 12
Find b such that 2/13*b**2 + 236/13*b - 238/13 = 0.
-119, 1
Let -412*j**4 - 632757*j**2 + 1571450*j**3 - 885711*j**2 - 267334*j**3 + 23332*j**4 + 100*j**5 + 211600*j + 464148*j**2 = 0. What is j?
-115, 0, 2/5
Let 3/2*t**2 + 1350 - 90*t = 0. Calculate t.
30
Let p(l) = 0*l - 415 + 6*l + 387. Let d be p(5). Suppose -1/4*c**5 + 7/4*c**d - 9/4*c**3 - 1/2*c + 5/4*c**4 + 0 = 0. What is c?
0, 1, 2
Let u(s) = -9*s**3 + 55*s**2 - 202*s + 284. Let r(f) = -8*f**3 + 54*f**2 - 202*f + 276. Let a(o) = -7*r(o) + 6*u(o). Let a(p) = 0. Calculate p.
2, 3, 19
Let i(x) = 13*x - 322. Let q be i(34). Determine n, given that 6*n**3 + 48*n**3 - 8*n**3 + 0*n**3 - q*n + 45*n**2 + 9*n**3 + 20 = 0.
-2, 2/11, 1
Let a(i) be the first derivative of i**6/225 + i**5/50 - i**4/90 - i**3/15 + 81*i + 132. Let w(v) be the first derivative of a(v). Solve w(h) = 0.
-3, -1, 0, 1
Let b(u) = u**3 - 9*u**2 + 2*u + 50. Let f be b(8). Let g be (f/(-10))/((-3)/10). Determine i, given that -4/3 + 2/3*i**2 - g*i = 0.
-1, 2
Suppose v - 2 = 4*i - 16, 0 = -4*i + 4*v + 8. Factor 3*l**2 - 2*l**5 + 4*l**3 - 353*l**4 + 358*l**i + 3*l**5 + 3*l**3.
l**2*(l + 1)**2*(l + 3)
Let -3/4*q**5 + 0 + 3/4*q**4 + 0*q - 3/4*q**2 + 3/4*q**3 = 0. Calculate q.
-1, 0, 1
Solve 1/5*p**3 - 9/5*p - 9 + p**2 = 0 for p.
-5, -3, 3
What is q in 8*q**4 + 2*q**3 - 53*q**2 - 23*q**4 + 63*q**2 - 7*q**3 = 0?
-1, 0, 2/3
Factor 1/4*s**4 + 360150*s**2 + 14412002500 + 490*s**3 + 117649000*s.
(s + 490)**4/4
Let x(g) = 12*g**3. Let k be x(1). Let p = k - 9. Let v(j) = -7*j**2 - j - 3. Let b(o) = 8*o**2 + 4. Let a(r) = p*b(r) + 4*v(r). Let a(w) = 0. Calculate w.
-1, 0
Let n(o) = -4 + 19*o - 47*o**2 - 51*o**2 + 91*o**2. Let z(u) = -u**2 - u. Let s(a) = -n(a) - 4*z(a). Solve s(i) = 0 for i.
4/11, 1
Find z, given that -1542/7*z + 4608/7 + 2/7*z**2 = 0.
3, 768
Let i be 30/(-4)*(-10)/(-800)*-8. Let c(h) be the second derivative of -10*h + 17/24*h**3 - i*h**2 + 0 - 5/48*h**4. Factor c(m).
-(m - 3)*(5*m - 2)/4
Suppose -2*j = 9*j - 13*j. Factor -2/13*f + j + 2/13*f**2.
2*f*(f - 1)/13
Solve -2/3*q + 0 + 1/6*q**3 + 1/6*q**4 - 2/3*q**2 = 0.
-2, -1, 0, 2
Let d(l) be the first derivative of -4*l**3/21 + 24*l**2/7 + 180*l/7 + 879. Factor d(s).
-4*(s - 15)*(s + 3)/7
Let g be (-3)/(((-4)/8*2)/3). Let n(k) = -k**3 + 5*k**2 - 4*k + 2. Let p be n(4). Factor 0*j - 12 + g*j**p + 6*j + 6*j.
3*(j + 2)*(3*j - 2)
Let z = 69173/2595 - -9/865. Determine x so that -5/6*x**4 + 640/3 - 425/2*x**2 - 80/3*x + z*x**3 = 0.
-1, 1, 16
Let j(d) be the third derivative of -d**5/20 - 1011*d**4/2 - 2044242*d**3 + d**2 + 7114*d. Factor j(g).
-3*(g + 2022)**2
Suppose 3*c = 15, 5*f + 3*c - 77 - 13 = 0. Let u be (81/45)/(3/f). Find d such that 120/7*d**4 + u*d**3 + 6/7*d - 45/7*d**2 - 144/7*d**5 + 0 = 0.
-2/3, 0, 1/4, 1
Let l be ((-88)/20 - -4)*(1 + -6). Let j be 0 + (-3689)/(-196) + 2/(-28). Factor 3/4*f**l + j - 15/2*f.
3*(f - 5)**2/4
Let h(v) be the first derivative of -5/12*v**4 - 34 + 28/3*v**2 - 4*v + 7/3*v**3. Find k, given that h(k) = 0.
-2, 1/5, 6
Suppose 1708 = 9*c - 1964. Factor -5202*s**2 + c*s - 20 - 22 + 34.
-2*(51*s - 2)**2
Suppose 5*f + 3*p - 205 = 0, -3*p - 123 = -3*f - p. Let k = f - 38. What is h in 4*h**3 + h**3 - 6*h**2 + 3*h**3 - 5*h**k = 0?
0, 2
Let z(w) be the third derivative of -w**7/42 + 23*w**6/24 - 31*w**5/6 + 25*w**4/3 - 654*w**2. Suppose z(c) = 0. What is c?
0, 1, 2, 20
Suppose 10*b = -4*b + 210. Suppose g - 2 = -5*f + 14, 3*f - 4 = -2*g. Determine s, given that 59*s**2 + 9*s**3 - 64*s**2 - 25*s - b - f*s**3 = 0.
-1, 3
Suppose -152*k - 5 = -153*k. Suppose 0 = k*v - 3*v - 10. Determine y, given that 6*y - 4 - y**2 - y**2 + 5*y**2 - v*y**2 = 0.
1, 2
Let y = -3936053/3 - -1312031. Factor -16*s - 2/3*s**3 - y - 6*s**2.
-2*(s + 2)**2*(s + 5)/3
Suppose -123*x + 126 = 87*x - 294. Let w(g) be the third derivative of 0*g + 23*g**x + 0 - 1/240*g**5 + 0*g**3 - 1/48*g**4. Determine y, given that w(y) = 0.
-2, 0
Let z(u) be the second derivative of u**5/130 + 209*u**4/78 + 138*u**3/13 - 2*u - 479. Determine w, given that z(w) = 0.
-207, -2, 0
Let k(s) = -4*s**4 - 2720*s**3 - 496845*s**2 - 30631533*s - 59297409. Let z(m) = m**4 + 5*m**3 + 2*m + 1. Let g(r) = -k(r) + z(r). Factor g(b).
5*(b + 2)*(b + 181)**3
Suppose -211*l = -220*l - 5022. Let v = 561 + l. Factor -16/5 + 32/5*p + 28/5*p**v + 76/5*p**2.
4*(p + 1)*(p + 2)*(7*p - 2)/5
Let r be (2/10)/(20/200). Let q be (-5)/6*r*8/(-15). Factor 0 - 2*s**3 - 4/9*s**2 - q*s**4 + 0*s.
-2*s**2*(s + 2)*(4*s + 1)/9
Let n be (6/35)/(216/(-360)) - 34/(-21). Factor 7/6 - n*w + 1/6*w**2.
(w - 7)*(w - 1)/6
Suppose 54 = -3*m + 5*o + 19, 2*m - o = -14. Let s(i) = -i**2 + 2*i + 37. Let b be s(m). Let b*q - 12/7 - 2/7*q**2 = 0. Calculate q.
1, 6
Suppose -n - 120 = -y, -12*n = 5*y - 8*n - 609. Suppose -4*l**2 + 37*l - 202 + y + 91*l - 943 = 0. Calculate l.
16
Let u(b) = 12*b - 12*b + 6*b - 20 + 2. Let a be u(7). Factor -33*k - 6*k**2 + a*k + 3*k**2.
-3*k*(k + 3)
Let z(a) be the second derivative of -a**2 + 1/20*a**6 + 1/40*a**5 - 1/84*a**7 + 1 + a**3 - 27*a - 11/24*a**4. What is x in z(x) = 0?
-2, 1, 2
Let o(q) = -q**3 - 2*q**2 - 1. Let j(w) be the third derivative of -w**6/1